{
 "report": {
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  "correct_position_counts": {
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   "C": 87,
   "D": 66
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  "manifest_sha256": "82d981e643565ae5b10ed7dc963b15a6474a2d114e50234fa1ec23055de0b5a6",
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   "task_families/force_path.py": "9ec4307787cd1993d35463f958a81162c70cbe580a2f21278691496866f025af",
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   "task_families/hostguest.py": "5bab67681ba00790a7253e631a4d5fff91cf9ef722bfe368b989c8b5448e50f1",
   "task_families/kit.py": "888d1d3f29c1f4ea2b753f6814dc12d1bed497b206784cc7015d9c2f20bbc6ac",
   "task_families/local_geometry.py": "5f7867f2d96cbff718aa367ea23637bb59e567ddd8363e00e346bf046c4917f2",
   "task_families/moire.py": "16a16b7b7816642de68f12c460964e86d96ba2ccb8b8b0e8f9d03ff2c8a0377c",
   "task_families/paper_design.py": "bf19bf52f24397e4f34292a69a594455fec75575916c0ee9febfd5e89bbe5248",
   "task_families/photonic.py": "3afa16d6c06b6f3367a963632644cd375dbc0caab3e8bcca42a2b6ede7d9585c",
   "task_families/protein_design.py": "2786e0ba067eb1fd9ff993de8182a44a9abab151b8adaed66905c485b25b83d2",
   "task_families/quantum_dot.py": "cce686e77411c9425c57ad6bb806f75765b1d1d82180914cca699e2aaae5e3db",
   "task_families/rotational.py": "ef8570ff19cf492f975faac17305b9c59625de37a61ce1230769f63ba46616a5",
   "task_families/scattering.py": "546ac707ebadea8dd322cba363f52b8160da770f71fe48ae0afb6d835ee489c6",
   "task_families/stereo.py": "6b3b6af008d12b295cd89020110e1259d4941ec02424273e8f5f758e8401c370",
   "task_families/superlattice.py": "7815e908c5d30f5f208fcae8f35b76afeb33003452a00e781b1973a0520a62e6",
   "task_families/vortex.py": "205f5e61f90c2a6c94bcebe79138d724d0e1596242dfb6ad2a3eacb123971ed5",
   "family_engine.py": "22512abeee4725d3e831b40cde04903f0519bcdc852c9102bc5235524f9d5300",
   "template_engine.py": "0f8c4dc2e7055aac289b347dd2f8a5f725061f8ac3f889161261a937f0d0a974",
   "tools/recompute_materials_batch.py": "df46676f8635db858bf9e9ab7a0b7613e580863306ca987f4ffbc19e7e9446e7",
   "tools/recompute_materials_batch2.py": "a0b89a83839d530170a497e5225e04cb97cb31a2126231f8297e0b5a220dd7dc"
  },
  "difficulty_note": "程序通过只说明四项已核验且唯一正确；难度、迷惑性与科学意义仍需人工审核与模型实验。",
  "limits": "开发试跑，不计入题库；模板与来源选择待人工审核。"
 },
 "registry": {
  "version": "0.2.0",
  "updated": "2026-09-24",
  "basis": "Meeting 5; three stages, type-based reuse, deterministic instance checks and semantic sampling. v0.2 turns the registry into the task-family coverage master table (single source of truth); docs/data/task-coverage.json is exported from it.",
  "axes": {
   "ability": [
    "perception",
    "inference",
    "design"
   ],
   "domains": [
    "quantum",
    "chemistry",
    "materials",
    "biology"
   ],
   "scale_cells_nm": [
    "0.1-1",
    "1-10",
    "10-100",
    "100-1000"
   ],
   "status": {
    "implemented": "数值模板 + 四选一均已接通并有真实试跑",
    "pilot": "新族函数已实现，2–4 份真实输入试跑，待人工审核",
    "existing_legacy": "旧题与计算器存在，尚未迁入统一族接口",
    "rebuild_needed": "旧题几何非必要或需重建，暂不扩量",
    "planned": "已定义路线，尚无实现",
    "blocked": "缺评价器或证据，暂不开放"
   }
  },
  "templates": [
   {
    "id": "global_extent",
    "name": "全局最大间距",
    "ability": "perception",
    "status": "implemented",
    "priority": 9,
    "concept": "有限点集的整体尺度：所有点对中的最大欧氏距离。",
    "domains": [
     "quantum",
     "materials",
     "chemistry",
     "biology"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "question": "For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Return only one value rounded to four decimal places and unit angstrom.",
    "principle": "Dmax = max(i<j) ||ri-rj||。使用实际给定点集，不增加周期映像。",
    "inputs": "一个已确认 Å 单位的 XYZ，明确点集与结构选择范围。",
    "physical_conditions": "无；纯几何。",
    "input_scale": "XYZ 点集的最大间距（即答案本身）",
    "reasoning_scale": "同输入尺度",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "只适用于有限点集；周期晶胞内的值依赖表示方式。",
    "source_basis": "真实结构文件（QM7-X/OE62、COD、PDB）",
    "answer_method": "逐对距离取最大；Decimal 独立循环复核。",
    "distractor_mechanisms": [
     "heavy_atoms_only",
     "bounding_box_diagonal",
     "centroid_diameter",
     "two_largest_radii",
     "with_vdw_radii",
     "largest_axis_span",
     "radius_as_extent"
    ],
    "four_choice_validation": "extent_choice_v2：正确值秩按批次平衡，数值按升序排列；与正确值间隔 > 0.05 Å。 v0.3.0：radius_as_extent 迷惑程度调为 2（混淆两种尺寸量），否则答案永远不能在 D（探针 runs/enum-v20）。",
    "engine_families": [
     "extent_choice_v2"
    ],
    "legacy_families": [
     "global_extent",
     "periodic_global_extent",
     "protein_global_extent"
    ],
    "legacy_qa": [
     "QNP007",
     "QNP008",
     "QNP009",
     "MNP006",
     "MNP007",
     "MNP010",
     "CNP007",
     "CNP008",
     "CNP009",
     "BNP001"
    ],
    "code": [
     "template_engine.py",
     "choice_engine.py",
     "task_families/extent_choice.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_template_engine.py",
     "tests/test_choice_engine.py",
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "专用试跑覆盖 M0/M1/M4/M5/M6 的等价检查；未走旧 pipeline。",
    "validation": "逐对欧氏距离最大值；另行读取原始十进制坐标复算。原题给出的数值另外比较，不用于生成新答案。",
    "limits": "仅有限点集范围，不等于晶粒尺寸或孔径；周期晶胞内点集的值依赖表示。并列极值不影响单数值评分。",
    "gap": "已足量；本轮不再扩量，只改进干扰项。",
    "template_review": "题型已做本轮 AI 方法审读，尚待人工确认；程序检查不能证明科学意义与数据来源正确。",
    "independent_checker": "checkers/families.py:extent"
   },
   {
    "id": "equal_weight_rg",
    "name": "等权回转半径",
    "ability": "perception",
    "status": "implemented",
    "priority": 9,
    "concept": "点集相对质心的均方根距离，衡量整体紧凑度。",
    "domains": [
     "quantum",
     "chemistry",
     "biology"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "question": "Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N). Return only one value rounded to four decimal places and unit angstrom. Do not use mass weights.",
    "principle": "质心法生成答案；用 Rg² = sum(i<j)|ri-rj|² / N² 复核。",
    "inputs": "一个已确认 Å 单位的 XYZ；明确所有点等权。",
    "physical_conditions": "等权；不是质量加权或 SAXS Rg。",
    "input_scale": "XYZ 点集最大间距",
    "reasoning_scale": "全局点集",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "不是质量加权或实测 SAXS Rg。",
    "source_basis": "真实结构文件",
    "answer_method": "质心公式；成对距离恒等式 Decimal 复核。",
    "distractor_mechanisms": [
     "mass_weighted",
     "heavy_atoms_only",
     "mean_radius",
     "n_minus_one",
     "maximum_radius",
     "diameter_for_radius"
    ],
    "four_choice_validation": "extent_choice_v2：正确值秩按批次平衡，数值按升序排列；与正确值间隔 > 0.05 Å（与 global_extent 相同）。 v0.3.0：点对公式漏 1/2（约 √2·Rg）与“最大中心距当半径”迷惑程度调为 2，否则答案不能在 A/B。",
    "engine_families": [
     "extent_choice_v2"
    ],
    "legacy_families": [
     "radius_of_gyration",
     "protein_geometric_gyration"
    ],
    "legacy_qa": [
     "QNP010",
     "QNP011",
     "CNP011",
     "BNP002"
    ],
    "code": [
     "template_engine.py",
     "choice_engine.py",
     "task_families/extent_choice.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_template_engine.py",
     "tests/test_choice_engine.py",
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "专用试跑覆盖 M0/M1/M4/M5/M6 的等价检查；未走旧 pipeline（与 global_extent 相同）。",
    "validation": "质心公式与成对距离恒等式交叉检查；在多个结构上复用相同代码。",
    "limits": "不是质量加权或实测 SAXS Rg；不能据此断言折叠稳定性。",
    "gap": "已足量；本轮不再扩量。",
    "template_review": "题型已做本轮 AI 方法审读，尚待人工确认；程序检查不能证明科学意义与数据来源正确。",
    "independent_checker": "checkers/families.py:extent"
   },
   {
    "id": "named_bond_angle",
    "name": "命名化学键角",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "指定化学连接（如糖苷桥氧 C–O–C、芳环内角、甲醚键角）在给定构象中的键角；原子身份由连接关系确认，不是任意行号。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "完整 XYZ（Å）、三个命名原子及行号、连接描述。",
    "physical_conditions": "单一给定构象，不优化。",
    "input_scale": "整个分子最大间距（1–2 nm 宿主）",
    "reasoning_scale": "三原子两两最大间距（约 0.24 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "局部几何；结论只对该构象成立。",
    "source_basis": "SAMPL9 宿主结构（PDB CONECT 确认连接）",
    "answer_method": "acos 向量夹角；atan2 实现复核；共价半径规则确认顶点与两端成键。",
    "distractor_mechanisms": [
     "idealized_value",
     "other_neighbor",
     "angle_at_adjacent_atom",
     "supplement",
     "triangle_angle_at_first_atom"
    ],
    "four_choice_validation": "与正确值 > 1.5°，干扰项之间 > 0.5°；升序排列，秩按批次平衡；易排除项每个计 4 个秩差惩罚。 2026-10-06：枚举实例的题干改用化学命名（task_families/chem_names.py）——按价态与登记的总电荷求键级（单 / 双 / 芳香 / 离域），按键级、邻接与氢数给出原子的官能团角色（如“硫脲碳 (C=S)”“磺酰氧 (S=O)”“铵氮 (NH3+)”），认不出的原子不出题；36 个分子的全部重原子都能命名。",
    "engine_families": [
     "named_bond_angle"
    ],
    "legacy_families": [
     "specified_local_angle",
     "ring_internal_angle",
     "methyl_ether_local_geometry",
     "nearest_neighbor_angle"
    ],
    "legacy_qa": [
     "CNP001",
     "CNP002",
     "CNP005",
     "CNP006",
     "QNP005"
    ],
    "code": [
     "task_families/local_geometry.py",
     "task_families/kit.py",
     "checkers/families.py",
     "task_families/chem_names.py",
     "enumerators.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py",
     "tests/test_chem_names.py"
    ],
    "builder_modules": "M0 范围、M1 输入哈希、M3 族契约、M4 构造、M5 四项核验、M6 分包（族引擎内等价实现）。",
    "principle": "θ = arccos(u·v/|u||v|)，u、v 为顶点指向两端原子的键矢量。",
    "validation": "两种实现一致；四个选项逐一核验。",
    "limits": "键角接近理想值时难以构造足够分散的高迷惑干扰项（DMBCD 实例仍含一个易排除项）。",
    "gap": "局部距离（二硫键、氢键给体–受体）尚未迁入同一接口；下一步复用同一 kit。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/families.py:named_bond_angle"
   },
   {
    "id": "backbone_torsion",
    "name": "蛋白主链二面角 φ/ψ",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "Ramachandran 主链扭转角；符号区分手性（左/右手构象），需要按 IUPAC 约定定向计算。",
    "domains": [
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "PDB 连续三残基 ATOM 片段（坐标不改）、残基编号与扭转角定义。",
    "physical_conditions": "晶体结构单一模型，无替代构象。",
    "input_scale": "三残基片段最大间距（约 1 nm）",
    "reasoning_scale": "二面角首末原子间距（约 0.3 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "接近 ±180° 的值因舍入歧义被拒绝。",
    "source_basis": "RCSB PDB 晶体结构（1CRN、1UBQ、6LYZ）",
    "answer_method": "法向量 atan2 与投影 atan2 两种实现；检查链连续（C–N ≤ 1.5 Å）与替代构象。",
    "distractor_mechanisms": [
     "opposite_sign",
     "other_backbone_torsion",
     "neighbor_residue_same_torsion",
     "peptide_omega",
     "unsigned_plane_angle",
     "backbone_bond_angle"
    ],
    "four_choice_validation": "按 360° 周期计算间隔；与正确值 > 5°；升序排列。 v0.2.0：角度是周期量，选项按圆周递增排列，起点由批次目标位置决定（题干说明）；固定从 −180° 排序时，大多数主链二面角为负，正确项集中在 A/B（枚举探针 runs/enum-v12）。“法向量夹角丢失符号”迷惑程度调为 2。",
    "engine_families": [
     "backbone_torsion"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/local_geometry.py",
     "task_families/kit.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "同 named_bond_angle。",
    "principle": "IUPAC 二面角：沿中心键从第二原子看向第三原子，前键顺时针转到后键为正。",
    "validation": "两种实现一致；周期间隔检查；四项逐一核验。",
    "limits": "反号干扰项形成 ± 配对线索（本批 3/3），需人工判断是否保留。",
    "gap": "尚无立体构型（R/S、顺反）题型；建议按会议 2 的感知→推断→设计梯子继续。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/families.py:backbone_torsion"
   },
   {
    "id": "named_bond_distance",
    "name": "命名局部距离",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "指定化学实体之间的键长：磺酰 S=O、芳环 C–Cl、末端 N–N、C–NH2、二硫键 SG–SG；原子由行号或 PDB 原子名加化学描述指定，并由成键规则确认。",
    "domains": [
     "quantum",
     "biology",
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "XYZ（按行号命名）或 PDB 片段（含 SSBOND 记录与两个残基的 ATOM 行）。",
    "physical_conditions": "单一构象：QM7-X 的 DFTB3+MBD 优化几何，或晶体结构中的主构象；不考虑热振动与零点运动。",
    "input_scale": "整个结构",
    "reasoning_scale": "两原子距离（0.1–0.5 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "单一距离不能独立判定成键状态。",
    "source_basis": "PDB、SAMPL9、QM7-X",
    "answer_method": "欧氏距离（浮点与 Decimal 两种实现）；共价半径规则确认成键。",
    "distractor_mechanisms": [
     "other_bond_same_atom",
     "typical_value",
     "covalent_radii_sum",
     "nearest_nonbonded_same_element",
     "bohr_units",
     "one_bond_too_far"
    ],
    "four_choice_validation": "与正确值 > 0.02 Å，干扰项之间 > 0.01 Å；升序排列，秩按批次轮换。 2026-10-04 枚举探针：新增“多数了一根键”（1–3 距离）；枚举实例设 strict_rank，目标答案位置不可达时拒绝出题而不是退到最近位置。 2026-10-06：枚举实例的题干改用化学命名（task_families/chem_names.py）——按价态与登记的总电荷求键级（单 / 双 / 芳香 / 离域），按键级、邻接与氢数给出原子的官能团角色（如“硫脲碳 (C=S)”“磺酰氧 (S=O)”“铵氮 (NH3+)”），认不出的原子不出题；36 个分子的全部重原子都能命名。",
    "engine_families": [
     "named_bond_distance"
    ],
    "legacy_families": [
     "disulfide_bond_length",
     "carboxylate_bond_metric",
     "donor_acceptor_distance",
     "shortest_element_pair_distance",
     "closest_interchain_contact",
     "watson_crick_hbond_geometry"
    ],
    "legacy_qa": [
     "BNP007",
     "BNP008",
     "BNP010",
     "CNP003",
     "HBP001",
     "QNP002",
     "QNP003",
     "QNP004",
     "QNP006",
     "CNP010",
     "BNP012"
    ],
    "code": [
     "task_families/local_geometry.py",
     "checkers/migrated.py",
     "task_families/chem_names.py",
     "enumerators.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py",
     "tests/test_chem_names.py"
    ],
    "builder_modules": "族引擎内等价实现；旧 QNP002–004/006、BNP007 由新版取代（supersede）。",
    "principle": "两原子笛卡尔坐标的欧氏距离；用共价半径规则确认所问两原子确实成键。",
    "validation": "独立检查器（checkers/migrated.py:named_bond_distance）按题干点名的原子（PDB 原子名或 XYZ 行号）从附件取坐标，用 Decimal 重算距离，并用自己的共价半径规则确认成键；PDB 片段须与源文件逐字一致，二硫键题核对 SSBOND 记录，XYZ 核对元素与源文件哈希。",
    "limits": "QNP002–006 需说明元素对选择的化学意义（待小修）。",
    "gap": "氢键给体–受体、链间接触等非键距离尚未迁移。",
    "template_review": "本轮迁移新建，待人工审核。",
    "independent_checker": "checkers/migrated.py:named_bond_distance"
   },
   {
    "id": "coordination_shell",
    "name": "配位壳层",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "无限周期晶体中，指定中心周围某一物种的最近壳层（个数与距离）；包括网络节点层面的壳层（SALEM-2 的 Zn–Zn 四连接、MOF-5 μ4-O 节点的六连接）。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "常规晶胞全部原子分数坐标表 + 晶胞参数（立方只给 a，其他晶系给 a、b、c、α、β、γ）；中心原子的分数坐标与伙伴物种描述。",
    "physical_conditions": "周期边界；完全占位。",
    "input_scale": "晶胞边长",
    "reasoning_scale": "第一壳层半径",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "只读完全占位的 CIF；非立方晶胞按 CIF 全部对称操作展开（task_families/cell.py）。",
    "source_basis": "COD",
    "answer_method": "立方：27 个相邻晶胞映像的近邻搜索，按 0.001 Å 归组壳层。其他晶系：125 个映像，问最短距离及该距离上的原子数（低对称把配位多面体拆成几种距离，“整个多面体”是登记的错误机制）。",
    "distractor_mechanisms": [
     "no_periodic_images",
     "second_shell",
     "same_species_shell",
     "mixed_shells",
     "merged_first_two_shells",
     "whole_coordination_polyhedron"
    ],
    "four_choice_validation": "选项为“N at D Å”，恰好一项同时匹配个数与距离。",
    "engine_families": [
     "coordination_shell"
    ],
    "legacy_families": [
     "periodic_tetrahedral_coordination",
     "primitive_cubic_coordination_shell",
     "species_resolved_coordination_shell"
    ],
    "legacy_qa": [
     "MNP001",
     "MNP002",
     "MNP004",
     "MNP005"
    ],
    "code": [
     "task_families/crystal.py",
     "checkers/migrated.py",
     "tools/recompute_materials_batch2.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；旧 MNP004/005 由新版取代。",
    "principle": "含周期映像的最近邻搜索。",
    "validation": "独立 Decimal 公式复核。",
    "limits": "MNP004/005 待小修。",
    "gap": "已支持任意晶系（2026-10-03：金红石、ZnO、α-石英）；部分占位与无序结构仍不支持。",
    "template_review": "本轮迁移新建，待人工审核。",
    "independent_checker": "checkers/migrated.py:coordination_shell"
   },
   {
    "id": "assembly_size",
    "name": "大型组装体尺寸（最大间距 / 回转半径）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "整个颗粒尺度的几何量：分子伴侣、核小体、病毒衣壳、DNA 折纸螺旋束的最大间距与等权回转半径（10–1000 nm）。",
    "domains": [
     "chemistry",
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "每残基一点的 XYZ，或按组分标记的链质心表（可只选某一组分，如 VP5 外壳）。",
    "physical_conditions": "约简表示；几何量在所给点集上定义。",
    "input_scale": "整个组装体",
    "reasoning_scale": "所选点集的最大间距（整个颗粒）",
    "scale_cells": [
     "10-100",
     "100-1000"
    ],
    "scale_limits": "约简表示上的几何量，不是溶液中的流体力学尺寸。暂无数据源的格：chemistry 100-1000（规划器不据此给出路线）。",
    "source_basis": "RCSB PDB 大型组装体（1AON、1KX5、1A34、6CGR、6NCL、7ARQ），经沉积的对称操作展开并约简为每残基/每核苷酸一点或每链质心",
    "answer_method": "numpy 分块搜索最大点对 + Decimal 复核；回转半径用质心公式并以 Decimal 复核。",
    "distractor_mechanisms": [
     "bounding_box_diagonal",
     "centroid_diameter",
     "largest_axis_span",
     "sphere_radius_from_rg",
     "single_axis_rms",
     "wrong_selection",
     "sphere_diameter_from_rg",
     "rg_from_dmax_solid_sphere"
    ],
    "four_choice_validation": "与正确值 > 0.3 nm；升序排列，秩按批次轮换（加入偏小的错误机制，避免正确项总是最小）。 v0.3.0：加入两个方向的实心球换算；空心外壳上其他尺寸估计常与 Dmax 重合而被拒（探针 runs/enum-v23）。枚举的回转半径题设 strict_rank。",
    "engine_families": [
     "assembly_extent",
     "assembly_rg"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/assembly.py",
     "checkers/migrated.py",
     "tools/build_assembly_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；原始下载保存在本地 inputs/pdb（不入库），约简资产及来源哈希入库。",
    "principle": "Dmax = max‖ri−rj‖；Rg = √(Σ‖ri−c‖²/N)。",
    "validation": "两种实现一致；独立检查器用成对恒等式复核。",
    "limits": "邻近亚基间距（约 5 nm）属于 1–10 nm 格，不在本题型中使用。",
    "gap": "材料、量子的大尺度对象待接入（按论文参数构建的模型）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/migrated.py:assembly_extent, assembly_rg",
    "excluded_cells": [
     "chemistry 100-1000"
    ]
   },
   {
    "id": "capsid_architecture",
    "name": "病毒衣壳结构（Caspar–Klug）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由外壳蛋白拷贝数 N 推断二十面体衣壳的三角剖分数 T=N/60、壳粒总数 10T+2 与六邻体数 10(T−1)；需要从整个衣壳计数并运用结构理论。 大型 dsDNA 病毒（PBCV-1）的主衣壳蛋白形成三聚体假六聚壳粒、五邻体由另一蛋白构成：N = 30(T−1)。",
    "domains": [
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "按组分标记的链质心表（沉积的 60 个二十面体操作展开）。",
    "physical_conditions": "约简表示；几何量在所给点集上定义。",
    "input_scale": "整个衣壳",
    "reasoning_scale": "整个外壳（所选组分点集的最大间距）",
    "scale_cells": [
     "10-100",
     "100-1000"
    ],
    "scale_limits": "假设完整二十面体外壳，不区分门户顶点等局部不对称。",
    "source_basis": "RCSB PDB 大型组装体（1AON、1KX5、1A34、6CGR、6NCL、7ARQ），经沉积的对称操作展开并约简为每残基/每核苷酸一点或每链质心",
    "answer_method": "计数所选组分的拷贝数，按 Caspar–Klug 关系计算。",
    "distractor_mechanisms": [
     "neighbouring_allowed_T",
     "all_hexamers",
     "all_pentamers",
     "hexons_only",
     "pentons_only",
     "hexon_subunits",
     "monomer_60T_rule",
     "trimers_as_60T",
     "forgot_pentons",
     "hexamer_rule"
    ],
    "four_choice_validation": "整数选项互不相同；独立检查器重新计数。",
    "engine_families": [
     "capsid_architecture"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/assembly.py",
     "checkers/migrated.py",
     "tools/build_assembly_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；原始下载保存在本地 inputs/pdb（不入库），约简资产及来源哈希入库。",
    "principle": "N = 60T；壳粒 = 12 + 10(T−1)。",
    "validation": "独立检查器重新计数并套用同一关系。",
    "limits": "只适用于完整二十面体外壳。",
    "gap": "目前 3 个衣壳（STMV T=1、HSV-1 T=16、PBCV-1 T=169）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/migrated.py:capsid_architecture"
   },
   {
    "id": "whole_particle_scattering",
    "name": "整颗粒散射强度（Debye，超出 Guinier 范围）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由整个颗粒的点集精确计算取向平均的归一化散射强度 I(q)/I(0)，q·Rg > 1.3 时 Guinier 近似与形状模型均失效，必须用全部点对。",
    "domains": [
     "chemistry",
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "按组分标记的点表（DNA 折纸每核苷酸 C1′；HSV-1 衣壳每链质心），可只选某一组分。",
    "physical_conditions": "等权点散射体，无形状因子与溶剂；q = 4π sinθ/λ（题干写明）。",
    "input_scale": "整个颗粒",
    "reasoning_scale": "所选点集的最大间距（探测长度 2π/q 同量级）",
    "scale_cells": [
     "10-100",
     "100-1000"
    ],
    "scale_limits": "约简表示；非实测 SAXS。暂无数据源的格：chemistry 100-1000（规划器不据此给出路线）。",
    "source_basis": "RCSB PDB 大型组装体（1AON、1KX5、1A34、6CGR、6NCL、7ARQ），经沉积的对称操作展开并约简为每残基/每核苷酸一点或每链质心",
    "answer_method": "Debye 公式 [N + 2Σ_{i<j} sin(qr)/(qr)]/N²，两种实现（i<j sinc 求和、全矩阵 sin/x 分块）一致。",
    "distractor_mechanisms": [
     "guinier_outside_range",
     "uniform_sphere_same_rg",
     "single_orientation_x",
     "without_self_terms",
     "amplitude_not_intensity",
     "s_convention",
     "q_divided_by_ten",
     "sphere_radius_equals_rg",
     "guinier_single_axis_spread",
     "guinier_missing_one_third",
     "guinier_half_dmax_as_rg",
     "intensity_squared"
    ],
    "four_choice_validation": "与正确值 > 0.02；升序排列，秩按批次轮换。 v0.3.0：加入两种给出更小强度的 Guinier 误用；之前探针中正确项在 30/36 道是最小值（runs/enum-v26）。q 必须恰为题干显示的三位小数，否则拒绝。",
    "engine_families": [
     "debye_intensity"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/assembly.py",
     "checkers/migrated.py",
     "tools/build_assembly_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；原始下载保存在本地 inputs/pdb（不入库），约简资产及来源哈希入库。",
    "principle": "I(q) = Σ_ij sin(q r_ij)/(q r_ij)（Debye 1915），取向平均的精确结果。",
    "validation": "独立检查器不用 Debye 公式，而是对方向直接做高阶 Gauss–Legendre × 均匀 φ 求积平均 |Σ exp(iq·r)|²。",
    "limits": "等权点散射体只刻画形状；真实 SAXS 还需形状因子、溶剂对比与涨落。",
    "gap": "7ARQ、6CGR、6NCL。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/migrated.py:debye_intensity",
    "excluded_cells": [
     "chemistry 100-1000"
    ]
   },
   {
    "id": "scattering_q_design",
    "name": "测量条件设计：使散射强度降到目标的 q",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "推断的逆问题：给定目标 I(q)/I(0)，选择测量 q，使整个颗粒的取向平均强度首次降到该值；需要精确 Debye 计算，形状模型与 Guinier 反解都会偏。",
    "domains": [
     "chemistry",
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "按组分标记的点表（DNA 折纸每核苷酸 C1′；HSV-1 衣壳每链质心），可只选某一组分。",
    "physical_conditions": "等权点散射体，无形状因子与溶剂；q = 4π sinθ/λ（题干写明）。",
    "input_scale": "整个颗粒",
    "reasoning_scale": "所选点集的最大间距（探测长度 2π/q 同量级）",
    "scale_cells": [
     "10-100",
     "100-1000"
    ],
    "scale_limits": "约简表示；非实测 SAXS。暂无数据源的格：chemistry 100-1000（规划器不据此给出路线）。",
    "source_basis": "RCSB PDB 大型组装体（1AON、1KX5、1A34、6CGR、6NCL、7ARQ），经沉积的对称操作展开并约简为每残基/每核苷酸一点或每链质心",
    "answer_method": "从 q = 0 以 0.02/Rg 步进找首个穿越点，再二分 60 次；两种 Debye 实现在解处一致。",
    "distractor_mechanisms": [
     "guinier_root",
     "uniform_sphere_root",
     "single_orientation_root",
     "target_as_amplitude",
     "reported_as_s",
     "dmax_sphere_root",
     "reported_per_angstrom",
     "sphere_radius_equals_rg_root",
     "guinier_single_axis_root",
     "guinier_missing_one_third_root",
     "guinier_half_dmax_root"
    ],
    "four_choice_validation": "与正确值相差 > 5%·q*；升序排列，秩按批次轮换。 v0.3.0：同上两种 Guinier 误用（解出更小的 q）；之前探针答案多在 B。",
    "engine_families": [
     "scattering_q_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/assembly.py",
     "checkers/migrated.py",
     "tools/build_assembly_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；原始下载保存在本地 inputs/pdb（不入库），约简资产及来源哈希入库。",
    "principle": "设计 = 推断的逆问题：选测量条件使可观测量达到目标。",
    "validation": "独立检查器用求积取向平均，自行以 0.013/Rg 步进并用 Illinois 试位法求根。",
    "limits": "这是测量条件设计（选 q），不是改变结构的分子设计；是否计为“设计题”需教授审定。",
    "gap": "7ARQ、6CGR、6NCL、1AON、1KX5、1A34。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/migrated.py:scattering_q_design",
    "excluded_cells": [
     "chemistry 100-1000"
    ]
   },
   {
    "id": "superlattice_geometry",
    "name": "纳米粒子超晶格几何（最近邻壳层 / 晶胞 / 密排面间距）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "从旋转后的粒子中心坐标识别晶格：最近邻壳层（个数与距离）、常规立方晶胞边长、最密排面间距，均在晶格周期尺度（10–100 nm）。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "DNA 连接金纳米粒子超晶格晶粒模型的粒子中心 XYZ（nm，约 177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "理想无限 FCC 晶格（按论文 SAXS 晶胞边长）；粒子视为相同点散射体；金核直径 10.3 nm 在题干给出。",
    "input_scale": "整个晶粒（约 170–340 nm）",
    "reasoning_scale": "晶格周期（常规晶胞边长 a，约 40–77 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文参数构建的模型，不是实测粒子坐标；不含位置无序、峰宽与形状因子。",
    "source_basis": "Hill et al., Nano Lett. 8, 2341 (2008) 表 1：五种 DNA 连接子的 SAXS 晶胞边长（论文参数模型）",
    "answer_method": "中心粒子周围分壳（容差 1e-4 nm），核对 12/6 与 √2 比例（FCC），并与表 1 晶胞边长一致。",
    "distractor_mechanisms": [
     "second_shell",
     "surface_particle",
     "bcc_assumption",
     "nearest_neighbour",
     "face_diagonal",
     "primitive_cell_root",
     "d200",
     "in_layer_row_spacing",
     "d220"
    ],
    "four_choice_validation": "壳层选项互不相同；数值与正确值 > 1 nm；升序排列，秩按批次轮换。",
    "engine_families": [
     "superlattice_shell",
     "superlattice_metric"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/superlattice.py",
     "checkers/superlattice.py",
     "tools/build_superlattice_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文表 1 参数确定性生成，sources.json 记录参数与构建方式。",
    "principle": "FCC：12 个最近邻在 a/√2，6 个次近邻在 a；最密排面 {111}，d = a/√3。",
    "validation": "独立检查器从坐标选初基基矢（最小体积），验证所有粒子落在整数格点上，常规边长 = (4V)^(1/3)，面间距 = 2π/|G|min。",
    "limits": "理想无限 FCC 点阵：不含晶格缺陷、有限晶粒、粒径分布与 DNA 连接子的柔性；数值只对应论文 SAXS 晶胞边长所给的理想结构。",
    "gap": "目前 1 篇论文的 5 个晶格；可加入其他超晶格（BCC、二元）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:superlattice_shell, superlattice_quantity"
   },
   {
    "id": "superlattice_scattering",
    "name": "纳米粒子超晶格 SAXS 反射与金含量",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由粒子坐标推断可观测量：第一与第二个非零 Bragg 反射的 q（q = 4π sinθ/λ），以及给定金核直径时的金体积百分数。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "DNA 连接金纳米粒子超晶格晶粒模型的粒子中心 XYZ（nm，约 177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "理想无限 FCC 晶格（按论文 SAXS 晶胞边长）；粒子视为相同点散射体；金核直径 10.3 nm 在题干给出。",
    "input_scale": "整个晶粒（约 170–340 nm）",
    "reasoning_scale": "晶格周期（常规晶胞边长 a，约 40–77 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文参数构建的模型，不是实测粒子坐标；不含位置无序、峰宽与形状因子。",
    "source_basis": "Hill et al., Nano Lett. 8, 2341 (2008) 表 1：五种 DNA 连接子的 SAXS 晶胞边长（论文参数模型）",
    "answer_method": "q* = 2π√3/a，q(200) = 4π/a；金含量 = 4·(4/3)πr³/a³。",
    "distractor_mechanisms": [
     "q_100_forbidden",
     "q_from_nearest_neighbour",
     "q_200",
     "q_111_first_peak",
     "q_220",
     "missing_two_pi",
     "per_angstrom",
     "one_particle_per_cell",
     "two_particles_per_cell",
     "diameter_as_radius",
     "four_per_primitive_cell"
    ],
    "four_choice_validation": "与正确值 > 0.005 nm⁻¹ 或 0.05 个百分点；升序排列，秩按批次轮换。",
    "engine_families": [
     "superlattice_saxs"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/superlattice.py",
     "checkers/superlattice.py",
     "tools/build_superlattice_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文表 1 参数确定性生成，sources.json 记录参数与构建方式。",
    "principle": "布拉维格子的 Bragg 反射在倒格矢 G 处；FCC 的最短 G 为 {111}。",
    "validation": "独立检查器由初基基矢求倒格子，枚举 |G| 并按容差归并；金含量用初基胞体积（每胞 1 个粒子）。",
    "limits": "点散射体、无限完美晶格；实测 SAXS 峰宽与形状因子不在题内。",
    "gap": "与超晶格几何相同：目前 1 篇论文（Hill 2008）的 5 个晶格；可加入其他超晶格（BCC、二元）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:superlattice_quantity"
   },
   {
    "id": "superlattice_design",
    "name": "超晶格连接子设计选择",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在论文实际做出的四种 DNA 连接子中选择一种，使超晶格达到目标（首个 Bragg 反射、最近邻间距，或在金含量约束下间距最大）；四个候选各有模型晶粒。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "DNA 连接金纳米粒子超晶格晶粒模型的粒子中心 XYZ（nm，约 177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "理想无限 FCC 晶格（按论文 SAXS 晶胞边长）；粒子视为相同点散射体；金核直径 10.3 nm 在题干给出。",
    "input_scale": "整个晶粒（约 170–340 nm）",
    "reasoning_scale": "晶格周期（常规晶胞边长 a，约 40–77 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文参数构建的模型，不是实测粒子坐标；不含位置无序、峰宽与形状因子。",
    "source_basis": "Hill et al., Nano Lett. 8, 2341 (2008) 表 1：五种 DNA 连接子的 SAXS 晶胞边长（论文参数模型）",
    "answer_method": "逐个候选由坐标计算性质，按目标规则取唯一最优；要求领先幅度足够。",
    "distractor_mechanisms": [
     "q_from_nearest_neighbour",
     "q_200_as_first",
     "cell_edge_as_spacing",
     "plane_spacing_as_spacing",
     "diameter_as_radius_passes",
     "highest_gold_not_largest_spacing",
     "satisfies_but_smaller_spacing",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；每个错误选项注明在哪种错误下会被选中。",
    "engine_families": [
     "superlattice_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/superlattice.py",
     "checkers/superlattice.py",
     "tools/build_superlattice_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文表 1 参数确定性生成，sources.json 记录参数与构建方式。",
    "principle": "设计 = 推断的逆问题；论文本身即以此线性关系设计连接子长度。",
    "validation": "独立检查器逐文件分析晶格并按题干目标重选。",
    "limits": "候选性质来自按 SAXS 参数构建的模型；没有新的实验证据。",
    "gap": "与超晶格几何相同：目前 1 篇论文（Hill 2008）的 5 个晶格；可加入其他超晶格（BCC、二元）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:superlattice_design"
   },
   {
    "id": "opal_geometry",
    "name": "胶体光子晶体几何（球径 / 密排面间距 / 晶胞）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "从旋转后的球心坐标识别接触球 FCC：球径（最近邻距离）、最密排面间距、常规晶胞边长，均在 100–1000 nm。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "胶体晶体（蛋白石）晶粒模型的球心坐标（nm，每行 \"sphere x y z\"，177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "接触球理想 FCC；密排面平行于膜面；有效折射率 n_eff² = Σ f_i n_i²（或题给 n_eff）；Bragg–Snell 一级反射。",
    "input_scale": "整个晶粒（约 1.3–3.3 µm）",
    "reasoning_scale": "晶格周期：常规晶胞边长 a（约 295–522 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文球径构建的模型；不含尺寸分布、堆垛缺陷与多面衍射；审核侧附实测峰值供比较。",
    "source_basis": "Gazmeh et al., Sci. Rep. 15, 38349 (2025) 表 3（聚苯乙烯球径与实测反射峰）；Fookes et al., Sensors 23, 1433 (2023) 参数表（二氧化硅 266 nm、n_eff 1.35、30°）",
    "answer_method": "中心球周围分壳，核对 12/6 与 √2 比例，并与论文球径一致。",
    "distractor_mechanisms": [
     "cell_edge",
     "radius",
     "d111",
     "half_cell_edge",
     "d200",
     "in_layer_row_spacing",
     "nearest_neighbour",
     "third_shell_distance",
     "face_diagonal"
    ],
    "four_choice_validation": "与正确值 > 3 nm；升序排列，秩按批次轮换。",
    "engine_families": [
     "opal_geometry"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/photonic.py",
     "checkers/superlattice.py",
     "tools/build_opal_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成，sources.json 记录参数、出处与实测值。",
    "principle": "接触球 FCC：最近邻 = 球径 D，a = √2·D，d111 = a/√3。",
    "validation": "独立检查器由初基基矢与倒格子求 d111 与常规边长。",
    "limits": "理想接触球 FCC：不含堆垛层错、球径分布、烧结或收缩；有效折射率用体积加权近似（或题给 n_eff）。",
    "gap": "两篇论文（聚苯乙烯 7 个样品、二氧化硅 1 个）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:opal_quantity"
   },
   {
    "id": "opal_bragg",
    "name": "胶体光子晶体 Bragg 反射与结构色",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由球心坐标与题给折射率推断结构色：一级 Bragg–Snell 反射波长（正入射或斜入射），或达到目标波长所需的入射角。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "胶体晶体（蛋白石）晶粒模型的球心坐标（nm，每行 \"sphere x y z\"，177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "接触球理想 FCC；密排面平行于膜面；有效折射率 n_eff² = Σ f_i n_i²（或题给 n_eff）；Bragg–Snell 一级反射。",
    "input_scale": "整个晶粒（约 1.3–3.3 µm）",
    "reasoning_scale": "晶格周期：常规晶胞边长 a（约 295–522 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文球径构建的模型；不含尺寸分布、堆垛缺陷与多面衍射；审核侧附实测峰值供比较。",
    "source_basis": "Gazmeh et al., Sci. Rep. 15, 38349 (2025) 表 3（聚苯乙烯球径与实测反射峰）；Fookes et al., Sensors 23, 1433 (2023) 参数表（二氧化硅 266 nm、n_eff 1.35、30°）",
    "answer_method": "λ = 2 d111 √(n_eff² − sin²θ)；n_eff² = f n_s² + (1−f) n_m²，f = π/(3√2)。",
    "distractor_mechanisms": [
     "diameter_as_spacing",
     "cell_edge_as_spacing",
     "no_factor_two",
     "d200_planes",
     "linear_index_average",
     "no_index",
     "sphere_index",
     "voids_as_air",
     "no_refraction",
     "ignore_angle",
     "angle_from_surface",
     "refraction_angle_inside",
     "sin_not_squared"
    ],
    "four_choice_validation": "波长与正确值 > 5 nm，角度 > 1°；升序排列，秩按批次轮换。",
    "engine_families": [
     "opal_bragg"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/photonic.py",
     "checkers/superlattice.py",
     "tools/build_opal_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成，sources.json 记录参数、出处与实测值。",
    "principle": "Bragg 定律加表面折射（Bragg–Snell）；有效介质近似。",
    "validation": "独立检查器由倒格子求 d111，由初基胞体积求球体积分数，再按题干的有效介质规则计算。",
    "limits": "有效介质与理想晶格假设；模型值与实测峰相差约 1%（审核侧列出）。",
    "gap": "与胶体晶体几何相同：两篇论文（聚苯乙烯 7 个样品、二氧化硅 1 个）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:opal_quantity"
   },
   {
    "id": "opal_design",
    "name": "结构色设计：选择球径样品",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在论文实际合成的四个聚苯乙烯样品中选一个，使膜的正入射反射最接近目标波长，或在波长上限内球径最大；四个候选各有模型晶粒。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "胶体晶体（蛋白石）晶粒模型的球心坐标（nm，每行 \"sphere x y z\"，177 个，经确定性旋转）；设计题给四个候选文件。",
    "physical_conditions": "接触球理想 FCC；密排面平行于膜面；有效折射率 n_eff² = Σ f_i n_i²（或题给 n_eff）；Bragg–Snell 一级反射。",
    "input_scale": "整个晶粒（约 1.3–3.3 µm）",
    "reasoning_scale": "晶格周期：常规晶胞边长 a（约 295–522 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文球径构建的模型；不含尺寸分布、堆垛缺陷与多面衍射；审核侧附实测峰值供比较。",
    "source_basis": "Gazmeh et al., Sci. Rep. 15, 38349 (2025) 表 3（聚苯乙烯球径与实测反射峰）；Fookes et al., Sensors 23, 1433 (2023) 参数表（二氧化硅 266 nm、n_eff 1.35、30°）",
    "answer_method": "逐个候选由坐标计算反射波长，按目标规则取唯一最优；要求领先幅度足够。",
    "distractor_mechanisms": [
     "diameter_as_spacing",
     "no_index",
     "linear_index_average",
     "sphere_index",
     "passes_if_no_index",
     "satisfies_but_smaller",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；每个错误选项注明在哪种错误下会被选中。",
    "engine_families": [
     "opal_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/photonic.py",
     "checkers/superlattice.py",
     "tools/build_opal_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成，sources.json 记录参数、出处与实测值。",
    "principle": "设计 = 推断的逆问题；论文将这些样品用作“反射标尺”。",
    "validation": "独立检查器逐文件分析晶格并按题干目标重选。",
    "limits": "候选性质来自模型；实测峰值列于审核侧。",
    "gap": "与胶体晶体几何相同：两篇论文（聚苯乙烯 7 个样品、二氧化硅 1 个）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/superlattice.py:opal_design"
   },
   {
    "id": "moire_geometry",
    "name": "转角石墨烯莫尔晶格几何（周期 / 晶胞面积）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "从 AA 堆垛区中心图识别莫尔晶格：莫尔周期与莫尔晶胞面积（10–100 nm 尺度）。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "转角双层石墨烯模型：AA 堆垛区中心图（nm，每行 \"AA x y\"，相当于 STM 形貌亮点，确定性旋转）或 AA 位点附近两层全部碳原子（Å）；设计题给四个候选图。",
    "physical_conditions": "刚性转角（无晶格弛豫、无异质应变）；石墨烯晶格常数 0.246 nm；自旋×谷四重简并（n_s = 4/A）。",
    "input_scale": "AA 图约 70–90 nm；原子块约 4 nm",
    "reasoning_scale": "莫尔周期 λ（12–18 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文转角构建的模型；实测样品常有少量异质应变，使莫尔周期偏离理想值（Kerelsky et al. 讨论）。",
    "source_basis": "Cao et al., arXiv:1803.02342（Nature 2018）器件 M1/M2/D1 转角与 n_s = 4/A 定义；Kerelsky et al., arXiv:1812.08776（Nature 2019）STM 区域 1.10°、0.79°",
    "answer_method": "中心位点周围 6 个等距近邻，核对与论文转角给出的周期一致。",
    "distractor_mechanisms": [
     "aa_to_ab_distance",
     "row_spacing",
     "second_neighbour",
     "half_period",
     "double_period",
     "square_cell",
     "triangle_only",
     "hexagon_twice",
     "ab_spacing_cell"
    ],
    "four_choice_validation": "与正确值 > 0.3 nm 或 3 nm²；升序排列，秩按批次轮换。",
    "engine_families": [
     "moire_geometry"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/moire.py",
     "checkers/moire.py",
     "tools/build_moire_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文转角确定性生成，sources.json 记录出处与模型。",
    "principle": "刚性转角：λ = a/(2 sin(θ/2))；三角晶格晶胞面积 (√3/2)λ²。",
    "validation": "独立检查器由最近邻矢量选初基基矢，验证所有位点为整数组合，面积取叉积。",
    "limits": "理想刚性转角：不含晶格弛豫（AB/BA 畴重构）、异质应变与转角不均匀；小转角下实测周期可能偏离模型。",
    "gap": "两篇论文的 5 个转角（0.79–1.16°）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/moire.py:moire_quantity"
   },
   {
    "id": "moire_inference",
    "name": "转角石墨烯莫尔推断（周期、载流子密度、转角）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由原子坐标推断两层转角并求莫尔周期；由莫尔晶胞推断完全填满与半满一组自旋×谷简并能带的载流子密度；由莫尔周期反推转角。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "转角双层石墨烯模型：AA 堆垛区中心图（nm，每行 \"AA x y\"，相当于 STM 形貌亮点，确定性旋转）或 AA 位点附近两层全部碳原子（Å）；设计题给四个候选图。",
    "physical_conditions": "刚性转角（无晶格弛豫、无异质应变）；石墨烯晶格常数 0.246 nm；自旋×谷四重简并（n_s = 4/A）。",
    "input_scale": "AA 图约 70–90 nm；原子块约 4 nm",
    "reasoning_scale": "莫尔周期 λ（12–18 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文转角构建的模型；实测样品常有少量异质应变，使莫尔周期偏离理想值（Kerelsky et al. 讨论）。",
    "source_basis": "Cao et al., arXiv:1803.02342（Nature 2018）器件 M1/M2/D1 转角与 n_s = 4/A 定义；Kerelsky et al., arXiv:1812.08776（Nature 2019）STM 区域 1.10°、0.79°",
    "answer_method": "λ = a/(2 sin(θ/2))；n_s = 4/A（A = (√3/2)λ²），半满 n_s/2；θ = 2 arcsin(a/2λ)。",
    "distractor_mechanisms": [
     "sin_full_angle",
     "bond_length_as_lattice_constant",
     "angle_of_one_layer",
     "second_neighbour",
     "layer_spacing_as_lattice_constant",
     "no_degeneracy",
     "spin_only",
     "square_cell",
     "eight_per_cell",
     "ab_distance_as_period",
     "full_filling",
     "half_angle",
     "radians_as_degrees"
    ],
    "four_choice_validation": "与正确值 > 0.3 nm、0.05×10¹² cm⁻² 或 0.05°；升序排列，秩按批次轮换。",
    "engine_families": [
     "moire_inference"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/moire.py",
     "checkers/moire.py",
     "tools/build_moire_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文转角确定性生成，sources.json 记录出处与模型。",
    "principle": "莫尔几何与能带填充：每个莫尔晶胞 4 个态（自旋×谷）填满一组能带。",
    "validation": "原子块：独立检查器用每层晶格矢量的六重相位平均求取向，再求转角与晶格常数；AA 图：叉积面积。",
    "limits": "刚性转角模型；n_s 定义沿用 Cao et al.。",
    "gap": "与莫尔几何相同：两篇论文的 5 个转角（0.79–1.16°）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/moire.py:moire_quantity"
   },
   {
    "id": "moire_design",
    "name": "转角石墨烯样品选择设计",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在论文实际样品中选一个，使半满或完全填满密度、或莫尔周期最接近目标；四个候选各有 AA 图。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "转角双层石墨烯模型：AA 堆垛区中心图（nm，每行 \"AA x y\"，相当于 STM 形貌亮点，确定性旋转）或 AA 位点附近两层全部碳原子（Å）；设计题给四个候选图。",
    "physical_conditions": "刚性转角（无晶格弛豫、无异质应变）；石墨烯晶格常数 0.246 nm；自旋×谷四重简并（n_s = 4/A）。",
    "input_scale": "AA 图约 70–90 nm；原子块约 4 nm",
    "reasoning_scale": "莫尔周期 λ（12–18 nm）",
    "scale_cells": [
     "10-100"
    ],
    "scale_limits": "按论文转角构建的模型；实测样品常有少量异质应变，使莫尔周期偏离理想值（Kerelsky et al. 讨论）。",
    "source_basis": "Cao et al., arXiv:1803.02342（Nature 2018）器件 M1/M2/D1 转角与 n_s = 4/A 定义；Kerelsky et al., arXiv:1812.08776（Nature 2019）STM 区域 1.10°、0.79°",
    "answer_method": "逐个候选由 AA 图计算周期与面积，按目标规则取唯一最优；要求领先幅度足够。",
    "distractor_mechanisms": [
     "full_filling",
     "no_degeneracy",
     "spin_only",
     "square_cell",
     "aa_to_ab_distance",
     "second_neighbour",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；每个错误选项注明在哪种错误下会被选中。",
    "engine_families": [
     "moire_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/moire.py",
     "checkers/moire.py",
     "tools/build_moire_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文转角确定性生成，sources.json 记录出处与模型。",
    "principle": "设计 = 推断的逆问题：按目标密度或周期选择转角。",
    "validation": "独立检查器逐文件重算并按题干目标重选。",
    "limits": "候选样品的周期与载流子密度由刚性转角模型从论文转角算出，不是逐样品实测值；不含弛豫与应变。",
    "gap": "与莫尔几何相同：两篇论文的 5 个转角（0.79–1.16°）。",
    "template_review": "本轮新建（A4），待人工审核。",
    "independent_checker": "checkers/moire.py:moire_design"
   },
   {
    "id": "secondary_structure",
    "name": "由 φ/ψ 推断二级结构（HELIX/SHEET 为证据）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由三残基 ATOM 片段计算中心残基的 φ/ψ，按题给参考构象（右手 α、β 链、PPII、左手 α）取最近者；条目自身的 HELIX/SHEET 记录作为审核证据，二者不一致即拒绝出题。",
    "domains": [
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "PDB 三残基 ATOM 片段（逐行照抄）。",
    "physical_conditions": "IUPAC 符号约定；(φ, ψ) 平面距离，360° 周期。",
    "input_scale": "三残基（约 1 nm）",
    "reasoning_scale": "定义 φ、ψ 的五个主链原子（约 0.3–0.4 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "单残基局部构象；不判断整段二级结构。",
    "source_basis": "RCSB PDB 1UBQ、6LYZ、1CRN（仓库已有）",
    "answer_method": "两种二面角实现一致；最近参考构象领先 ≥ 30%；与 HELIX/SHEET 记录一致。",
    "distractor_mechanisms": [
     "second_nearest_reference",
     "mirror_image",
     "other_reference"
    ],
    "four_choice_validation": "四个选项恰为四个参考构象；唯一最近者。",
    "engine_families": [
     "secondary_structure"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/local_geometry.py",
     "checkers/migrated.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "Ramachandran 区域；作者指认的 HELIX/SHEET 为证据。",
    "validation": "独立检查器用 acos+三重积求二面角，并从源文件读取 HELIX/SHEET 记录核对。",
    "limits": "参考中心为教科书典型值；HELIX/SHEET 是作者指认。",
    "gap": "3 个残基（2 个 β、1 个 α）。",
    "template_review": "本轮新建（A2/A3），待人工审核。",
    "independent_checker": "checkers/migrated.py:secondary_structure"
   },
   {
    "id": "binding_evidence_choice",
    "name": "主客体结合强弱（实测证据）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "给 WP6 主体与四个客体的 3D 结构，推断哪一个结合最强；答案依据 SAMPL9 实测 ITC ΔG（证据只在审核侧），最强者须领先 ≥ 0.8 kcal/mol。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "WP6 主体与四个客体 XYZ（SAMPL9 结构）。",
    "physical_conditions": "ITC，1× PBS，pH 7.40，298.15 K，1:1。",
    "input_scale": "主体约 1.8 nm",
    "reasoning_scale": "主客体复合物（主体最大原子间距）",
    "scale_cells": [
     "1-10"
    ],
    "scale_limits": "结合强弱取决于电荷、尺寸匹配、溶剂化等，不能单凭几何算出。",
    "source_basis": "SAMPL9 WP6 主客体挑战（MIT）：实测结合自由能与客体结构",
    "answer_method": "按实测 ΔG 排序；领先幅度检查。",
    "distractor_mechanisms": [
     "next_strongest",
     "dication_but_weaker",
     "weaker_binder"
    ],
    "four_choice_validation": "四个候选均有实测值；最强者领先 ≥ 0.8 kcal/mol。",
    "engine_families": [
     "binding_evidence_choice"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/hostguest.py",
     "checkers/hostguest.py",
     "tools/build_hostguest_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；实测表逐项转录并记录原表哈希。",
    "principle": "证据型推断（A2）：答案来自实验，不来自计算。",
    "validation": "独立检查器读取转录表（哈希核对），核对客体文件与名称一一对应、题干写明条件，并重新排序。",
    "limits": "实验误差约 0.02–0.06 kcal/mol；只用 WP6（条件有文档）。",
    "gap": "3 组候选。",
    "template_review": "本轮新建（A2/A3），待人工审核。",
    "independent_checker": "checkers/hostguest.py:binding_evidence_choice"
   },
   {
    "id": "binding_design_choice",
    "name": "客体设计选择（实测证据）",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "从参考客体出发，在四个候选替换中选出唯一一个使实测结合增强至少给定幅度的；四个候选均有实测值，且都离阈值 ≥ 0.3 kcal/mol。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "WP6 主体与四个候选客体 XYZ。",
    "physical_conditions": "与主客体结合证据题相同：ITC，1× PBS，pH 7.40，298.15 K，1:1。",
    "input_scale": "主体约 1.8 nm",
    "reasoning_scale": "主客体复合物",
    "scale_cells": [
     "1-10"
    ],
    "scale_limits": "结合强弱取决于电荷、尺寸匹配、溶剂化等，不能单凭几何算出；几何附件只用于识别候选客体。",
    "source_basis": "SAMPL9 WP6（MIT）",
    "answer_method": "实测 ΔG 与阈值比较。",
    "distractor_mechanisms": [
     "improves_but_below_target",
     "weakens_binding",
     "dication_not_sufficient"
    ],
    "four_choice_validation": "恰好一个候选达到目标；阈值附近无候选。",
    "engine_families": [
     "binding_design_choice"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/hostguest.py",
     "checkers/hostguest.py",
     "tools/build_hostguest_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "有实验证据的设计题（A3）：S0 → S1，候选全部有测量值。",
    "validation": "独立检查器重算每个候选的改善幅度与阈值关系。",
    "limits": "实验误差约 0.02–0.06 kcal/mol，阈值附近不放候选；只用 WP6（条件有文档）；“设计”指在实测候选中选择，不预测新分子。",
    "gap": "2 题。",
    "template_review": "本轮新建（A2/A3），待人工审核。",
    "independent_checker": "checkers/hostguest.py:binding_design_choice"
   },
   {
    "id": "qdot_optics",
    "name": "CdSe 量子点尺寸与光学（经验曲线）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由纳米晶模型坐标确定粒径（最大原子间距），用 Yu et al. (2003) 的经验曲线推断第一激子吸收峰、摩尔消光系数，或由吸光度求浓度。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "闪锌矿 CdSe 纳米晶模型 XYZ（本项目构建）。",
    "physical_conditions": "题干给出经验多项式、适用范围与消光定律。",
    "input_scale": "整个纳米晶（2.8–5.0 nm）",
    "reasoning_scale": "纳米晶最大原子间距",
    "scale_cells": [
     "1-10"
    ],
    "scale_limits": "经验曲线只在拟合尺寸范围内可靠；模型无配体。",
    "source_basis": "Yu, Qu, Guo, Peng, Chem. Mater. 15, 2854 (2003)：CdSe 尺寸多项式与 ε = 5857 D^2.65",
    "answer_method": "二分法反解 D(λ)；Beer–Lambert。",
    "distractor_mechanisms": [
     "bounding_box_diagonal",
     "two_rg",
     "radius_as_diameter",
     "diameter_in_angstrom",
     "cubic_exponent",
     "exponent_as_factor",
     "path_in_mm"
    ],
    "four_choice_validation": "与正确值 > 3 nm、0.1×10⁵ 或 0.05 µM；升序排列，秩按批次轮换。",
    "engine_families": [
     "qdot_optics"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/quantum_dot.py",
     "checkers/quantum_dot.py",
     "tools/build_qdot_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "量子限域：粒径越小吸收越蓝移（经验标定）。",
    "validation": "独立检查器用 Decimal 复核最大间距，用多项式求根（numpy.roots）反解。",
    "limits": "论文参数模型；晶格常数 6.08 Å 为模型假设，答案只取决于所给坐标。",
    "gap": "5 个模型粒子。",
    "template_review": "本轮新建（A2/A3），待人工审核。",
    "independent_checker": "checkers/quantum_dot.py:qdot_quantity"
   },
   {
    "id": "qdot_design",
    "name": "量子点粒径选择设计",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在四个纳米晶模型中选一个，使第一激子吸收峰最接近目标，或选吸收峰不短于阈值的最小粒子（推断的逆问题）。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "四个 CdSe 纳米晶模型 XYZ。",
    "physical_conditions": "题干给出 Yu 2003 的经验多项式、适用范围与 Model conditions（与 CdSe 量子点光学题相同）。",
    "input_scale": "纳米晶 2.8–5.0 nm",
    "reasoning_scale": "候选最大粒径",
    "scale_cells": [
     "1-10"
    ],
    "scale_limits": "经验曲线只在拟合尺寸范围内可靠；模型无配体。",
    "source_basis": "Yu et al. (2003) 经验曲线",
    "answer_method": "逐个候选反解吸收峰，按目标规则选择。",
    "distractor_mechanisms": [
     "radius_as_diameter",
     "two_rg",
     "bounding_box_diagonal",
     "passes_if_bounding_box_diagonal",
     "meets_but_larger",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；领先幅度或阈值距离足够。",
    "engine_families": [
     "qdot_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/quantum_dot.py",
     "checkers/quantum_dot.py",
     "tools/build_qdot_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "设计 = 推断的逆问题。",
    "validation": "独立检查器（checkers/quantum_dot.py:qdot_design）逐个文件用 Decimal 复核最大间距，用多项式求根（numpy.roots）反解吸收峰，再按题干目标规则重新选择。",
    "limits": "候选为按论文曲线构建的理想球形 CdSe 模型粒子（晶格常数 6.08 Å 为假设），不是实测样品；答案只取决于所给坐标与题干曲线。",
    "gap": "2 题。",
    "template_review": "本轮新建（A2/A3），待人工审核。",
    "independent_checker": "checkers/quantum_dot.py:qdot_design"
   },
   {
    "id": "diffraction_design",
    "name": "衍射设计：选晶体、选谱线或定波长",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "first_diffraction_peak 的逆问题：在四种晶体中选首个非零反射最接近目标 2θ 者；为一种晶体在四条 X 射线谱线中选最接近目标角者；或求使首个非零反射落在目标角的波长。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "COD 晶体（NaCl、MgO、CsCl、金刚石、MOF-5、SALEM-2）的整胞分数坐标表；谱线波长在题干给出。",
    "physical_conditions": "运动学结构因子、原子序数权重；一级 Bragg 衍射。",
    "input_scale": "晶胞",
    "reasoning_scale": "首个非零反射的晶面间距 d",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "不含原子散射因子角度依赖与吸收。",
    "source_basis": "COD 晶体结构（公有领域）",
    "answer_method": "从全部原子坐标求第一个 |F| ≠ 0 的反射，再按目标规则选择或反解。",
    "distractor_mechanisms": [
     "lowest_index_ignoring_extinction",
     "theta_not_two_theta",
     "assumed_simple_cubic",
     "d_equals_a",
     "two_theta_as_theta",
     "missing_factor_two",
     "second_allowed",
     "farther_from_target"
    ],
    "four_choice_validation": "选择题：胜者领先 ≥ 1.5 倍且 ≥ 0.5°；数值题：与正确值 > 0.05 Å。",
    "engine_families": [
     "diffraction_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/diffraction_design.py",
     "checkers/design_extra.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "设计 = 推断的逆问题（测量条件或材料选择）。",
    "validation": "独立检查器自行枚举 hkl 并求结构因子，从题干与选项读权重、波长和目标。",
    "limits": "选谱线、定波长属于测量条件设计，是否计为设计题需 L1 审定；选晶体属于材料选择。",
    "gap": "6 题。",
    "template_review": "本轮新建（设计补缺），待人工审核。",
    "independent_checker": "checkers/design_extra.py:diffraction_design"
   },
   {
    "id": "disulfide_design",
    "name": "二硫键工程位点选择",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "蛋白工程：在真实蛋白的四个残基对中，选唯一满足题给 Cα–Cα 与 Cβ–Cβ 距离窗口、可突变为半胱氨酸形成二硫键的一对；其余每对至少偏离一个窗口 0.2 Å。",
    "domains": [
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "PDB ATOM 片段（涉及的残基，逐行照抄）。",
    "physical_conditions": "题给几何筛选窗口（含端点）。",
    "input_scale": "涉及残基",
    "reasoning_scale": "候选残基对中最大的 Cα–Cα 距离（< 1 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "只按几何窗口筛选。",
    "source_basis": "RCSB PDB 1UBQ、6LYZ（仓库已有）",
    "answer_method": "Cα–Cα、Cβ–Cβ 距离与窗口比较；恰好一对满足。",
    "distractor_mechanisms": [
     "calpha_only",
     "cbeta_only",
     "both_out"
    ],
    "four_choice_validation": "恰好一对满足；其余偏离窗口 ≥ 0.2 Å。",
    "engine_families": [
     "disulfide_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/protein_design.py",
     "checkers/design_extra.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "二硫键工程的几何预筛（Cα、Cβ 距离）。",
    "validation": "独立检查器用 Decimal 距离与题干窗口重算。",
    "limits": "不评估二面角、应变能与稳定性。",
    "gap": "3 题。",
    "template_review": "本轮新建（设计补缺），待人工审核。",
    "independent_checker": "checkers/design_extra.py:disulfide_design"
   },
   {
    "id": "fret_design",
    "name": "FRET 标记位点设计",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在真实蛋白或 tRNA 的四个候选标记对中，选点偶极 FRET 效率（题给 R0）最接近目标的一对；推断的逆问题。",
    "domains": [
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "PDB ATOM 片段（涉及的残基或核苷酸，逐行照抄）。",
    "physical_conditions": "点偶极 Förster 定律；R0 为题设参数。",
    "input_scale": "涉及残基",
    "reasoning_scale": "候选标记对中最大的点间距离（1–10 nm）",
    "scale_cells": [
     "1-10"
    ],
    "scale_limits": "不含染料连接臂与构象涨落。",
    "source_basis": "RCSB PDB 1EHZ、1UBQ、6LYZ（仓库已有）",
    "answer_method": "E = 1/(1+(r/R0)^6)，选最接近目标者；领先幅度检查。",
    "distractor_mechanisms": [
     "complement",
     "inverse_square",
     "farther_from_target"
    ],
    "four_choice_validation": "胜者领先 ≥ 1.5 倍且 ≥ 0.05。",
    "engine_families": [
     "fret_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/protein_design.py",
     "checkers/design_extra.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现。",
    "principle": "设计 = 推断的逆问题（选择标记位点）。",
    "validation": "独立检查器用 Decimal 距离与题干 R0、目标重算。",
    "limits": "R0 为模型参数，未对应具体染料。",
    "gap": "3 题。",
    "template_review": "本轮新建（设计补缺），待人工审核。",
    "independent_checker": "checkers/design_extra.py:fret_design"
   },
   {
    "id": "vortex_geometry",
    "name": "超导涡旋晶格几何（间距 / 密度）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "从涡旋中心图识别 Abrikosov 涡旋晶格：晶格间距与涡旋面密度。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "涡旋中心位置图（nm，每行 \"V x y\"，约 97 个，确定性旋转）；设计题给四张不同磁场的图。",
    "physical_conditions": "理想三角涡旋晶格，每个涡旋一个磁通量子 h/2e；题干写明 Model conditions。",
    "input_scale": "视场约 3.5–9 μm",
    "reasoning_scale": "涡旋晶格间距 a（356–855 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文实测磁场或实测晶格常数构建的模型；不含钉扎无序；论文指出 188.7 G 时单个涡旋已难分辨。",
    "source_basis": "Cottet et al., arXiv:1401.4062（MgB2，低温洛伦兹透射电镜，四个实测磁场）；Schaefermeier et al., arXiv:2602.13060（BSCCO，NV 扫描磁强计，a ≈ 0.855 μm）",
    "answer_method": "中心涡旋 6 个等距近邻；与论文参数一致。",
    "distractor_mechanisms": [
     "row_spacing",
     "second_neighbour",
     "double_spacing",
     "square_cell",
     "half_density",
     "circle_cell"
    ],
    "four_choice_validation": "与正确值 > 10 nm 或 0.15 /μm²；升序排列，秩按批次轮换。",
    "engine_families": [
     "vortex_geometry"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/vortex.py",
     "checkers/mesoscale.py",
     "tools/build_vortex_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "三角涡旋晶格：a = (2Φ0/(√3B))^1/2，n = B/Φ0。",
    "validation": "独立检查器由初基晶胞面积计算。",
    "limits": "理想三角涡旋晶格：不含钉扎无序、晶界与有限尺寸效应；间距只对应论文实测磁场下的理想模型。",
    "gap": "MgB2 四个磁场 + BSCCO 一个样品。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:vortex_quantity"
   },
   {
    "id": "vortex_inference",
    "name": "超导涡旋晶格推断（磁场 / 磁通量子 / 中子散射峰）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由涡旋图推断磁感应强度（每个涡旋一个 h/2e）、每个涡旋携带的磁通，以及小角中子散射首个 Bragg 峰。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "涡旋中心位置图（nm，每行 \"V x y\"，约 97 个，确定性旋转）；设计题给四张不同磁场的图。",
    "physical_conditions": "理想三角涡旋晶格，每个涡旋一个磁通量子 h/2e；题干写明 Model conditions。",
    "input_scale": "视场约 3.5–9 μm",
    "reasoning_scale": "涡旋晶格间距 a（356–855 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文实测磁场或实测晶格常数构建的模型；不含钉扎无序；论文指出 188.7 G 时单个涡旋已难分辨。",
    "source_basis": "Cottet et al., arXiv:1401.4062（MgB2，低温洛伦兹透射电镜，四个实测磁场）；Schaefermeier et al., arXiv:2602.13060（BSCCO，NV 扫描磁强计，a ≈ 0.855 μm）",
    "answer_method": "B = Φ0/A_cell；Φ = B·A_cell；q10 = 4π/(√3 a)。",
    "distractor_mechanisms": [
     "square_lattice",
     "flux_h_over_e",
     "flux_h_over_4e",
     "gauss_mT_slip",
     "second_neighbour_as_spacing",
     "h_over_e",
     "square_cell",
     "triangle_cell",
     "hbar_over_2e",
     "two_pi_over_a",
     "missing_two_pi",
     "second_order_peak",
     "square_lattice_q"
    ],
    "four_choice_validation": "与正确值 > 0.15 mT、0.15×10⁻¹⁵ Wb 或 0.5 μm⁻¹；升序排列，秩按批次轮换。",
    "engine_families": [
     "vortex_inference"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/vortex.py",
     "checkers/mesoscale.py",
     "tools/build_vortex_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "磁通量子化：每个涡旋携带 Φ0 = h/2e。",
    "validation": "独立检查器由晶胞面积与题干 Φ0 或 B 计算。",
    "limits": "理想三角涡旋晶格：不含钉扎无序、晶界与有限尺寸效应；磁场、磁通与散射峰按每个涡旋一个磁通量子的理想关系计算。",
    "gap": "与涡旋晶格几何相同：MgB2 四个磁场 + BSCCO 一个样品。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:vortex_quantity"
   },
   {
    "id": "vortex_design",
    "name": "涡旋晶格磁场选择设计",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在论文实际施加的四个磁场中选一个，使涡旋间距或中子散射峰最接近目标，或在密度要求下磁场最低。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "涡旋中心位置图（nm，每行 \"V x y\"，约 97 个，确定性旋转）；设计题给四张不同磁场的图。",
    "physical_conditions": "理想三角涡旋晶格，每个涡旋一个磁通量子 h/2e；题干写明 Model conditions。",
    "input_scale": "视场约 3.5–9 μm",
    "reasoning_scale": "涡旋晶格间距 a（356–855 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文实测磁场或实测晶格常数构建的模型；不含钉扎无序；论文指出 188.7 G 时单个涡旋已难分辨。",
    "source_basis": "Cottet et al., arXiv:1401.4062（MgB2，低温洛伦兹透射电镜，四个实测磁场）；Schaefermeier et al., arXiv:2602.13060（BSCCO，NV 扫描磁强计，a ≈ 0.855 μm）",
    "answer_method": "逐张图计算晶胞，按目标规则选择；领先幅度检查。",
    "distractor_mechanisms": [
     "row_spacing",
     "second_neighbour",
     "two_pi_over_a",
     "second_order_peak",
     "passes_if_square_cell",
     "meets_but_higher_field",
     "too_sparse",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；每个错误选项注明误选原因。",
    "engine_families": [
     "vortex_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/vortex.py",
     "checkers/mesoscale.py",
     "tools/build_vortex_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "设计 = 推断的逆问题（选磁场）。",
    "validation": "独立检查器（checkers/mesoscale.py:vortex_design）逐个文件由涡旋中心求初基晶胞，算出间距、密度或散射峰，再按题干目标规则重新选择。",
    "limits": "候选为论文实测磁场的理想模型。",
    "gap": "3 题。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:vortex_design"
   },
   {
    "id": "cholesteric_geometry",
    "name": "胆甾液晶螺旋几何（螺距 / 手性）",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "从指向矢场识别胆甾螺旋的螺距（转 360° 的距离）与手性（右手定则）。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "胆甾液晶指向矢场（每行 \"site x y z nx ny nz\"，每 5 nm 一点，1.5 μm，任意取向）；设计题给四份。",
    "physical_conditions": "理想均匀扭曲的螺旋（平面 Grandjean 织构）；λc = ⟨n⟩p，Δλ = Δn·p，p = 1/(HTP·c)；题干写明 Model conditions。",
    "input_scale": "1.5 μm 指向矢场",
    "reasoning_scale": "螺距 p（274–423 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文参数构建的模型；模型反射与实测相差约 1–2%。",
    "source_basis": "Shaban et al., Materials 17, 5080 (2024)（E44 + R5011/S5011，HTP 107.5 μm⁻¹）；Dinc et al., Org. Chem. Front. (2024)（反应型异山梨醇掺杂剂涂层）",
    "answer_method": "每步转角求螺距；(n_i × n_i+1)·前进方向 的符号定手性。",
    "distractor_mechanisms": [
     "half_pitch",
     "double_pitch",
     "quarter_pitch",
     "reflection_wavelength",
     "opposite_handedness",
     "both_wrong"
    ],
    "four_choice_validation": "数值与正确值 > 10 nm；手性题四项为手性 × {p, p/2}。",
    "engine_families": [
     "cholesteric_geometry"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/cholesteric.py",
     "checkers/mesoscale.py",
     "tools/build_cholesteric_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "胆甾相：指向矢绕螺旋轴均匀扭转，n 与 −n 等价。",
    "validation": "独立检查器投影解卷绕后线性拟合。",
    "limits": "理想均匀扭曲：不含缺陷线、表面锚定与螺距梯度；手性按题干给出的右手定则判断。",
    "gap": "Shaban 两种掺杂 + Dinc 两种涂层 + 模型浓度。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:cholesteric_quantity"
   },
   {
    "id": "cholesteric_optics",
    "name": "胆甾液晶选择反射与扭曲力（推断）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由螺距与题给折射率推断反射中心波长和带宽，或由螺距与浓度推断手性掺杂剂的螺旋扭曲力 HTP。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "胆甾液晶指向矢场（每行 \"site x y z nx ny nz\"，每 5 nm 一点，1.5 μm，任意取向）；设计题给四份。",
    "physical_conditions": "理想均匀扭曲的螺旋（平面 Grandjean 织构）；λc = ⟨n⟩p，Δλ = Δn·p，p = 1/(HTP·c)；题干写明 Model conditions。",
    "input_scale": "1.5 μm 指向矢场",
    "reasoning_scale": "螺距 p（274–423 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文参数构建的模型；模型反射与实测相差约 1–2%。",
    "source_basis": "Shaban et al., Materials 17, 5080 (2024)（E44 + R5011/S5011，HTP 107.5 μm⁻¹）；Dinc et al., Org. Chem. Front. (2024)（反应型异山梨醇掺杂剂涂层）",
    "answer_method": "λc = ⟨n⟩p；Δλ = Δn·p；HTP = 1/(p c)。",
    "distractor_mechanisms": [
     "extraordinary_index",
     "ordinary_index",
     "half_pitch",
     "no_index",
     "double_pitch",
     "central_wavelength",
     "relative_birefringence",
     "half_birefringence",
     "percent_not_fraction",
     "reflection_for_pitch",
     "nm_um_slip"
    ],
    "four_choice_validation": "与正确值 > 5–8 nm 或 5 μm⁻¹；升序排列，秩按批次轮换。",
    "engine_families": [
     "cholesteric_optics"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/cholesteric.py",
     "checkers/mesoscale.py",
     "tools/build_cholesteric_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "布拉格选择反射：λc = ⟨n⟩p，带宽 Δn·p；HTP 由掺杂剂分子手性决定。",
    "validation": "独立检查器由拟合螺距与题干参数计算。",
    "limits": "模型值与实测相差约 1–2%（审核侧列出实测值）。",
    "gap": "与胆甾液晶几何相同：Shaban 两种掺杂 + Dinc 两种涂层 + 模型浓度。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:cholesteric_quantity"
   },
   {
    "id": "cholesteric_design",
    "name": "胆甾液晶结构色设计",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "在四份膜中选择：反射最接近目标色、左手且最接近目标、或在反射上限内掺杂量最少。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "胆甾液晶指向矢场（每行 \"site x y z nx ny nz\"，每 5 nm 一点，1.5 μm，任意取向）；设计题给四份。",
    "physical_conditions": "理想均匀扭曲的螺旋（平面 Grandjean 织构）；λc = ⟨n⟩p，Δλ = Δn·p，p = 1/(HTP·c)；题干写明 Model conditions。",
    "input_scale": "1.5 μm 指向矢场",
    "reasoning_scale": "螺距 p（274–423 nm）",
    "scale_cells": [
     "100-1000"
    ],
    "scale_limits": "按论文参数构建的模型；模型反射与实测相差约 1–2%。",
    "source_basis": "Shaban et al., Materials 17, 5080 (2024)（E44 + R5011/S5011，HTP 107.5 μm⁻¹）；Dinc et al., Org. Chem. Front. (2024)（反应型异山梨醇掺杂剂涂层）",
    "answer_method": "逐份拟合螺距与手性，按目标规则选择。",
    "distractor_mechanisms": [
     "extraordinary_index",
     "half_pitch",
     "right_handed_closer",
     "right_handed",
     "reflects_too_red",
     "meets_but_more_dopant",
     "farther_from_target"
    ],
    "four_choice_validation": "恰好一个候选满足目标；每个错误选项注明误选原因。",
    "engine_families": [
     "cholesteric_design"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/cholesteric.py",
     "checkers/mesoscale.py",
     "tools/build_cholesteric_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；资产由论文参数确定性生成。",
    "principle": "设计 = 推断的逆问题（选掺杂浓度或膜）。",
    "validation": "独立检查器（checkers/mesoscale.py:cholesteric_design）逐个文件把指向矢投影到垂直于螺旋轴的平面、解卷绕后线性拟合出螺距与手性，再按题干目标规则重新选择。",
    "limits": "非实测浓度的候选为按论文 HTP 计算的模型。",
    "gap": "3 题。",
    "template_review": "本轮新建（补 100–1000 空格），待人工审核。",
    "independent_checker": "checkers/mesoscale.py:cholesteric_design"
   },
   {
    "id": "lattice_plane_geometry",
    "name": "晶面间距",
    "ability": "perception",
    "status": "existing_legacy",
    "priority": 5,
    "concept": "立方晶胞 (hkl) 晶面间距 d = a/√(h²+k²+l²)。",
    "domains": [
     "materials"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric"
    ],
    "inputs": "晶胞参数、晶面指数。",
    "physical_conditions": "立方晶系。",
    "input_scale": "晶胞边长",
    "reasoning_scale": "晶面间距",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "公式题，坐标仅提供晶格参数。",
    "source_basis": "COD",
    "answer_method": "立方晶系面间距解析公式 d = a/√(h²+k²+l²)。",
    "distractor_mechanisms": [
     "a/(h+k+l)",
     "a·√(h²+k²+l²)",
     "diagonal_confusion"
    ],
    "four_choice_validation": "未实现（旧数值短答案，未改为四选一）。",
    "engine_families": [],
    "legacy_families": [
     "cubic_plane_geometry"
    ],
    "legacy_qa": [
     "MNP003",
     "MNP008",
     "MNP009"
    ],
    "code": [
     "tools/recompute_materials_batch.py"
    ],
    "tests": [
     "tests/test_materials_batch.py"
    ],
    "builder_modules": "旧 pipeline。",
    "principle": "d = a/√(h²+k²+l²)。",
    "validation": "旧专用脚本复算，未接入独立检查器；对应旧题不在 160 道挑选中。",
    "limits": "几何必要性弱（只用 a）。",
    "gap": "优先级低：易退化为公式题。",
    "template_review": "既有旧模块，未迁入题型族。",
    "independent_checker": ""
   },
   {
    "id": "biopolymer_path_geometry",
    "name": "生物大分子路径与局部几何",
    "ability": "perception",
    "status": "existing_legacy",
    "priority": 6,
    "concept": "DNA/RNA 骨架路径、反密码子环、螺旋局部间距、催化裂隙等。",
    "domains": [
     "biology"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric"
    ],
    "inputs": "PDB、链与残基选择。",
    "physical_conditions": "单一实验结构模型（PDB 主构象）。",
    "input_scale": "整条链（1–10 nm）",
    "reasoning_scale": "路径或局部片段",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "各题定义不一，需统一标记原子。",
    "source_basis": "PDB 1BNA、1EHZ、1UBQ、6LYZ",
    "answer_method": "旧专用脚本（tools/recompute_bio_batch*.py）。",
    "distractor_mechanisms": [
     "wrong_marker_atom",
     "chord_vs_path",
     "neighbor_residue"
    ],
    "four_choice_validation": "未实现（旧数值短答案，未改为四选一）。",
    "engine_families": [],
    "legacy_families": [
     "dna_marker_path",
     "rna_backbone_path",
     "anticodon_loop_geometry",
     "helix_local_spacing",
     "donor_orientation_screen",
     "protein_extent_and_catalytic_cleft"
    ],
    "legacy_qa": [
     "BNP003",
     "BNP005",
     "BNP006",
     "BNP009",
     "BNP011",
     "HBP002",
     "BNP004"
    ],
    "code": [
     "tools/recompute_bio_batch.py",
     "tools/recompute_bio_batch2.py"
    ],
    "tests": [
     "tests/test_bio_geometry.py"
    ],
    "builder_modules": "旧 pipeline。",
    "principle": "按每道旧题的定义（路径长度、弦长或局部间距）。",
    "validation": "旧专用脚本复算，未接入独立检查器；对应旧题不在 160 道挑选中。",
    "limits": "对应旧题在 2026-09-22 专项筛查中多数列为“小修后复查”；需先拆成可复用子族。",
    "gap": "需要先拆成若干可复用子族（路径长度、弦长、局部间距）。",
    "template_review": "既有旧模块，未迁入题型族。",
    "independent_checker": ""
   },
   {
    "id": "stereo_relationship",
    "name": "立体关系判别",
    "ability": "perception",
    "status": "pilot",
    "priority": 1,
    "concept": "判断结构 X 相对 S0 是同一化合物（仅构象/取向不同）、对映体、非对映体还是构造异构体；需要在三维中区分旋转与镜像、构象改变与构型改变（会议 2 立体化学梯子第一级）。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "S0.xyz 与 X.xyz（Å）；X 经刚性旋转平移，原子顺序可能不同。",
    "physical_conditions": "单键旋转可互变的结构视为同一化合物。",
    "input_scale": "两个分子",
    "reasoning_scale": "整分子立体构型（0.4–0.8 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "立体中心按第一配位层判定；与数据集标签不一致的实例拒绝。",
    "source_basis": "QM7-X 立体异构体与构象（CC BY 4.0），15 个分子的全部优化构象",
    "answer_method": "共价半径成键图 + 图不变量判定键连；四配位中心、锥形 S/P、氮杂环丙烷 N 的手性符号与双键顺反描述符判定构型关系。",
    "distractor_mechanisms": [
     "conformation_mistaken_for_configuration",
     "rotation_mistaken_for_reflection",
     "partial_vs_full_inversion",
     "same_formula_assumed_same_bonding"
    ],
    "four_choice_validation": "四个固定类别恰好一个成立；批次内每类 2 例以平衡位置；独立检查器用自有实现复核。",
    "engine_families": [
     "stereo_relationship"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/stereo.py",
     "task_families/kit.py",
     "checkers/stereo.py",
     "tools/build_family_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现 M0–M6；所有判定与数据集立体异构体标签交叉核对，不一致即拒绝。",
    "principle": "构型描述符在旋转与构象变化下不变、在镜像下全部翻转。",
    "validation": "生成端与独立检查器一致；数据集标签交叉核对。",
    "limits": "不给 R/S 描述符（需 CIP 优先级，RDKit 未安装）；7165 真对映体因数据集缺镜像构象被保守拒绝。",
    "gap": "R/S、E/Z 命名需 CIP 优先级；可在获准安装 RDKit 后加入。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/stereo.py:stereo_relationship"
   },
   {
    "id": "stereo_property_inference",
    "name": "立体异构体性质推断",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "同一分子的两个或多个立体异构体，由三维构型推断哪一个的指定性质（偶极、能量或文献报道的活性）更高或落在哪个区间。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "S0.xyz 与 X.xyz：同一分子两个非对映体各自的数据集最低能构象；X 刚性旋转。",
    "physical_conditions": "性质为数据集计算值或论文实测值，题干写明来源类型与条件。",
    "input_scale": "分子",
    "reasoning_scale": "立体中心周围与整分子取向",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "构型差异须由几何决定；性质差须超过阈值。",
    "source_basis": "QM7-X 立体异构体与构象（CC BY 4.0），15 个分子的全部优化构象",
    "answer_method": "由数据集 PBE0+MBD 能量与偶极得到 ΔE、Δμ 的符号；两者均须超过阈值（1 kcal/mol、0.10 e·Å）。",
    "distractor_mechanisms": [
     "energy_direction_reversed",
     "dipole_direction_reversed",
     "both_reversed"
    ],
    "four_choice_validation": "四个陈述覆盖符号组合，恰好一个成立；位置按批次轮换。",
    "engine_families": [
     "stereo_property_inference"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/stereo.py",
     "task_families/kit.py",
     "checkers/stereo.py",
     "tools/build_family_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现 M0–M6；所有判定与数据集立体异构体标签交叉核对，不一致即拒绝。",
    "principle": "立体构型 → 性质。",
    "validation": "独立检查器按距离矩阵与手性匹配数据集结构后重算。",
    "limits": "手性药物的活性需论文证据。",
    "gap": "仅 4 对满足阈值的非对映体；更多需下载 QM7-X 其他分卷。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/stereo.py:stereo_property_inference"
   },
   {
    "id": "stereo_design_selection",
    "name": "立体构型设计选择",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "给定 S0 与目标（能量降低 ≥1 kcal/mol），只允许改变构型（立体中心手性或双键顺反），从四个候选中选唯一满足者；陷阱：镜像（构型变但能量不变）、只改构象（能量更低但不允许）、构造异构体（键连不同）。",
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "S0 与四个候选 XYZ（均刚性旋转；构造异构体原子顺序不同）；性质证据在审核侧。",
    "physical_conditions": "同 stereo_property_inference。",
    "input_scale": "分子",
    "reasoning_scale": "立体中心与整分子",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "候选须满足约束且互不等价（排除镜像/构象重复）。",
    "source_basis": "QM7-X 立体异构体与构象（CC BY 4.0），15 个分子的全部优化构象",
    "answer_method": "逐项判定与 S0 的关系（是否只改构型）+ 能量证据（数据集值；镜像按反演对称等于 S0）。",
    "distractor_mechanisms": [
     "mirror_image_no_energy_change",
     "conformation_only_change",
     "constitution_changed"
    ],
    "four_choice_validation": "恰好一项同时满足约束与目标；独立检查器复核每一项。",
    "engine_families": [
     "stereo_design_selection"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/stereo.py",
     "task_families/kit.py",
     "checkers/stereo.py",
     "tools/build_family_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现 M0–M6；所有判定与数据集立体异构体标签交叉核对，不一致即拒绝。",
    "principle": "设计 = 推断的逆问题。",
    "validation": "独立检查器重算关系与能量差。",
    "limits": "计算证据只对所述理论水平成立。",
    "gap": "3 个分子；目标暂只有降低能量。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/stereo.py:stereo_design_selection"
   },
   {
    "id": "force_path_derivative",
    "name": "受力沿路径的一阶能量变化",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由 F = −∂E/∂r 与两结构间位移推断沿指定路径在 B 处的能量方向导数：几何（位移方向）+ 物理条件（受力）→ 性质。",
    "domains": [
     "quantum"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "A、B 两个 XYZ（同原子序、同坐标系）+ B 处全原子受力表。",
    "physical_conditions": "PBE0+MBD 总力；直线路径；方向在题干中给定（A→B 或 B→A）。",
    "input_scale": "分子最大间距",
    "reasoning_scale": "全部原子参与（分子尺度 0.4–0.8 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "局部方向导数，不是 E(B)−E(A)，不证明极小点。",
    "source_basis": "QM7-X（CC BY 4.0）",
    "answer_method": "Decimal 与浮点投影求和一致。",
    "distractor_mechanisms": [
     "sign_convention",
     "heavy_atoms_only",
     "trapezoid_energy_estimate",
     "abs_projection_sum",
     "magnitude_product"
    ],
    "four_choice_validation": "与正确值 > 0.05 eV；升序排列，秩按批次平衡；路径方向在实例间变化以削弱“选正数”捷径。",
    "engine_families": [
     "force_path_derivative"
    ],
    "legacy_families": [
     "force_displacement_projection",
     "force_displacement_projection_comparison"
    ],
    "legacy_qa": [
     "QNP001",
     "QNI001",
     "QNI002",
     "QNI003"
    ],
    "code": [
     "task_families/force_path.py",
     "builder_modules/m4_construction/force_projection.py",
     "tools/build_family_assets.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_force_projection.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "M1 资产由 tools/build_family_assets.py 从 QM7-X 提取并与已发布旧题坐标/受力逐项核对。",
    "principle": "dE/dλ = −Σ F_i(B)·(dr_i/dλ)。",
    "validation": "两种求和一致；四项逐一核验。",
    "limits": "仍依赖题干给出物理关系；推断深度有限。",
    "gap": "可扩到“受力是否指向降低能量的方向”的结论选择题。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/families.py:force_path"
   },
   {
    "id": "kinematic_extinction",
    "name": "晶体衍射消光判别",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由晶胞内全部原子坐标与运动学结构因子推断哪一个反射强度为零；优先选择由基元/滑移而非仅中心化导致的消光。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "常规晶胞全部原子分数坐标表 + 晶胞参数 + 原子序数权重。",
    "physical_conditions": "运动学近似；零角度原子序数权重；忽略热振动。",
    "input_scale": "晶胞边长",
    "reasoning_scale": "晶胞边长（相位求和跨越整个晶胞）",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "弱反射（|F|/F000 < 0.05）不作选项；非立方时 (h k l) 取 0–4，并排除彼此对称等价（同 d、同 |F|）的干扰项，避免一次排除两项。",
    "source_basis": "COD（NaCl、金刚石、SALEM-2、MOF-5；金红石、板钛矿、ZnO、α-石英）",
    "answer_method": "对学生看到的同一坐标表求 F(hkl)；|F|/F000 ≤ 1e-6 判为消光。非立方晶胞以“换轴误用消光条件”（指数换轴后的反射才消光）代替中心化规则作为错误机制。",
    "distractor_mechanisms": [
     "wrong_rule:I",
     "wrong_rule:F",
     "wrong_rule:F+d",
     "identical_atom_assumption",
     "weak_not_absent",
     "axis_confusion"
    ],
    "four_choice_validation": "恰好一项消光、三项 ≥ 0.05 F000；另记录 P/I/F/F+d 规则能否单独答对。",
    "engine_families": [
     "kinematic_extinction"
    ],
    "legacy_families": [
     "basis_phase_extinction",
     "bcc_superlattice_extinction",
     "centering_type_comparison",
     "sublattice_scattering_contrast"
    ],
    "legacy_qa": [
     "MNI002",
     "MNI003",
     "MNI005",
     "MNI008",
     "MNI009",
     "MNI010"
    ],
    "code": [
     "task_families/extinction.py",
     "tools/recompute_materials_batch.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_materials_batch.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "M1 直接读取已发布 CIF/XYZ；M5 记录规则捷径。",
    "principle": "F(hkl) = Σ Z_j exp[2πi(hx+ky+lz)]。",
    "validation": "独立检查器（checkers/families.py:extinction）对学生看到的同一坐标表分别累加 cos 与 sin 项求 F(hkl)，逐项判定消光或非零（≥ 0.05 F000）。",
    "limits": "NaCl、SALEM-2、MOF-5 的正确项仅需中心化规则即可答对（已在 rule_shortcuts 中披露）。",
    "gap": "旧 MOF-5 题来源误记为 COD 4118891（应为 1516287），旧“ZIF-8”实为未取代咪唑的 SALEM-2；新族已更正，旧目录待修。",
    "template_review": "本轮新建，待人工审核。",
    "independent_checker": "checkers/families.py:extinction"
   },
   {
    "id": "bragg_angle_inference",
    "name": "首个衍射峰（布拉格角）",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由晶胞全部原子坐标判断哪一个反射最先出现（跳过消光反射），再用布拉格定律求其 2θ；不同于只代入给定 d 的公式题。",
    "domains": [
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "常规晶胞全部原子分数坐标表 + 晶胞参数；原子序数权重；波长。",
    "physical_conditions": "运动学近似、零角度原子序数权重、一级衍射。",
    "input_scale": "晶胞",
    "reasoning_scale": "晶面间距",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "只需晶胞与原子位置；若只用晶胞边长而不算结构因子，会误选被消光的反射（这正是一种错误机制）。",
    "source_basis": "COD",
    "answer_method": "立方：h ≥ k ≥ l ≥ 0 的低指数反射；其他晶系：|h|、|k|、|l| ≤ 4 的全部反射（Friedel 对取一个），d 由倒格矢求，取 |F|≠0 的最小 2θ；等价反射同角度视为一个峰。非立方的登记错误包括套用立方公式 d = a/√(h²+k²+l²)。",
    "distractor_mechanisms": [
     "lowest_index_ignoring_extinction",
     "assumed_lattice_rule",
     "theta_not_two_theta",
     "second_allowed_peak",
     "d_equals_a",
     "cubic_d_formula",
     "d_equals_c",
     "bragg_missing_factor_two",
     "strongest_not_first",
     "index_sum_for_root"
    ],
    "four_choice_validation": "与正确值 > 0.3°；升序排列，秩按批次轮换。 枚举探针发现正确项多为 C（错误机制几乎都给出更小的角），v0.3.0 加入三种给出更大角的错误（布拉格式漏 2、把最强反射当第一个峰、立方公式把根号写成指数和），并把 d = a 的迷惑程度调为 2；立方晶胞即使经通用读取器也走立方路径。",
    "engine_families": [
     "first_diffraction_peak"
    ],
    "legacy_families": [
     "bragg_geometry_inference"
    ],
    "legacy_qa": [
     "MNI001",
     "MNI004",
     "MNI006",
     "MNI007"
    ],
    "code": [
     "task_families/crystal.py",
     "checkers/migrated.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；旧 MNI004/006/007 由新版取代（同时更正 MOF-5 来源为 COD 1516287）。",
    "principle": "布拉格定律 λ = 2d sinθ，加运动学结构因子判定哪些低指数反射不消光。",
    "validation": "独立检查器（checkers/migrated.py:first_diffraction_peak）对 h、k、l ≤ 5 的全部反射用自己的结构因子求和，取 |F| ≠ 0 的最小 2θ，并核对来源文件哈希。",
    "limits": "运动学近似、零角度原子序数权重，不含原子散射因子的角度依赖、热振动与反常散射；只问一级衍射；不支持部分占位。",
    "gap": "未含原子散射因子角度依赖。",
    "template_review": "本轮迁移新建，待人工审核。",
    "independent_checker": "checkers/migrated.py:first_diffraction_peak"
   },
   {
    "id": "scattering_model_inference",
    "name": "散射/FRET 模型推断",
    "ability": "inference",
    "status": "pilot",
    "priority": 1,
    "concept": "由结构几何与给定模型参数推断可观测量：FRET 效率（点探针、给定 R0）与 Guinier 近似下的归一化小角散射强度（等权点散射体、给定 q）。题干给出模型输入但不给公式。",
    "domains": [
     "chemistry",
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "PDB 链 ATOM 片段（FRET）或整分子重原子 XYZ（Guinier）。",
    "physical_conditions": "Förster 点偶极模型（R0 含取向与光谱因子）；Guinier 近似仅在 qRg ≤ 1.3 出题。",
    "input_scale": "蛋白（1–10 nm）",
    "reasoning_scale": "全局尺度",
    "scale_cells": [
     "1-10",
     "10-100"
    ],
    "scale_limits": "模型假设需人工审核。暂无数据源的格：chemistry 1-10（规划器不据此给出路线）。",
    "source_basis": "PDB（含 7ARQ DNA 折纸约简点表）+ 教科书/论文模型",
    "answer_method": "FRET：直线距离 + E=1/(1+(r/R0)^6)；Guinier：等权 Rg + exp(−q²Rg²/3)。",
    "distractor_mechanisms": [
     "path_length_distance",
     "complement",
     "closest_atom_pair",
     "r_equals_R0_default",
     "wrong_acceptor_atom",
     "missing_one_third",
     "half_dmax_as_rg",
     "amplitude_not_intensity",
     "unit_mixups"
    ],
    "four_choice_validation": "与正确值 > 0.02–0.03；升序排列，秩按批次轮换。FRET 可由题设 R0 列表中选取使目标秩可达的值（某些秩只在 E < 0.5 或 E > 0.5 时可达；枚举探针发现只用固定 R0 时正确项总是最大）。 Guinier：q 必须恰为题干显示的两位小数（之前更精细的 q 会使题干与答案不一致）；枚举实例设 strict_rank。",
    "engine_families": [
     "fret_efficiency",
     "guinier_intensity"
    ],
    "legacy_families": [
     "conditional_guinier_inference",
     "conditional_fret_inference",
     "fret_range_mismatch_inference"
    ],
    "legacy_qa": [
     "BNI001",
     "BNI002",
     "BNI004"
    ],
    "code": [
     "checkers/migrated.py",
     "task_families/scattering.py",
     "tools/build_assembly_assets.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "族引擎内等价实现；旧 BNI004 由新版取代。",
    "principle": "Guinier：qRg ≲ 1.3；FRET：E = 1/(1+(r/R0)^6)。",
    "validation": "独立检查器（checkers/migrated.py）：FRET 从题干点名的原子取坐标、从题干读 R0，按直线距离重算效率；Guinier 用成对距离恒等式求等权 Rg（出题端用质心公式），核对 qRg ≤ 1.3，并核对点集与已发布资产或源 PDB 一致。",
    "limits": "FRET 为点偶极模型，R0 为题设值，不含染料连接臂与取向分布；Guinier 只在小 q 区间成立，等权点散射体不等于电子密度。",
    "gap": "R0 为题设虚拟值，不对应具体染料。",
    "template_review": "本轮迁移新建，待人工审核。",
    "independent_checker": "checkers/migrated.py:fret_efficiency, guinier_intensity",
    "excluded_cells": [
     "chemistry 1-10"
    ]
   },
   {
    "id": "evidence_inference_choice",
    "name": "论文证据支持的物理推断选择",
    "ability": "inference",
    "status": "planned",
    "priority": 3,
    "concept": "几何特征 + 论文给出的关系 → 性质或结论；证据只给审核方。",
    "domains": [
     "chemistry",
     "biology"
    ],
    "output": "choice",
    "output_forms": [
     "choice",
     "numeric"
    ],
    "inputs": "学生几何条件与选项；审核侧保留论文原文定位、条件及答案依据。",
    "physical_conditions": "按论文适用范围写入题干。",
    "input_scale": "按实例",
    "reasoning_scale": "按实例",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "未知不能冒充错误。",
    "source_basis": "论文（HBI001/HBI002 氢键红移、刚度查表为已有例）",
    "answer_method": "证据映射 + 数值校验。",
    "distractor_mechanisms": [
     "reverse_trend",
     "outside_validity_range",
     "confused_quantity"
    ],
    "four_choice_validation": "需证据映射与区间不重叠。",
    "engine_families": [],
    "legacy_families": [
     "geometry_redshift_inference",
     "geometry_conditioned_stiffness_lookup"
    ],
    "legacy_qa": [
     "HBI001",
     "HBI002"
    ],
    "code": [],
    "tests": [],
    "builder_modules": "旧 pipeline M2 证据模块。",
    "principle": "模板审查因果与适用条件；实例检查引用和唯一正确选项。",
    "validation": "需建立具体题型的证据映射和干扰项验证；尚未实施通用语义验证。",
    "limits": "论文中的答案证据不默认给被测模型，必要物理条件必须写在题目里。",
    "gap": "待建立首个经证据支持的通用模板。 已由 secondary_structure（生物 0.1–1）与 binding_evidence_choice（化学 1–10）部分实现。 2026-10-16：论文“证据 → 结论”已由 evidence_quantity 与 evidence_elimination 实现（HBI001/HBI002 由 CNI027/CNI028 取代）。",
    "template_review": "待建立首个经证据支持的模板。",
    "independent_checker": ""
   },
   {
    "id": "structure_comparison_inference",
    "name": "结构比较推断",
    "ability": "inference",
    "status": "existing_legacy",
    "priority": 6,
    "concept": "两结构/两链之间的几何比较及其结论边界。",
    "domains": [
     "biology",
     "chemistry"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric",
     "choice"
    ],
    "inputs": "两个结构。",
    "physical_conditions": "按每道旧题给出的两个结构与比较条件。",
    "input_scale": "按实例",
    "reasoning_scale": "按实例",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "多题只做算术比较，推断成分弱。",
    "source_basis": "PDB",
    "answer_method": "旧专用脚本（见对应旧题的计算记录）。",
    "distractor_mechanisms": [
     "reverse_comparison",
     "overgeneralization"
    ],
    "four_choice_validation": "未实现（旧数值短答案，未改为四选一）。",
    "engine_families": [],
    "legacy_families": [
     "cross_chain_gyration_comparison",
     "cross_protein_gyration_comparison",
     "disulfide_bond_length_comparison",
     "helix_regularity_cross_protein",
     "helix_regularity_inference",
     "terminal_vs_global_extent",
     "assembly_extent_arithmetic",
     "contact_evidence_scope",
     "substituent_effect_on_distal_geometry"
    ],
    "legacy_qa": [
     "CNI004",
     "BNI003",
     "BNI005",
     "BNI007",
     "BNI008",
     "BNI006",
     "CNI002",
     "CNI003",
     "CNI005",
     "CNI006",
     "CNI001"
    ],
    "code": [
     "tools/recompute_bio_batch2.py"
    ],
    "tests": [
     "tests/test_bio_geometry2.py"
    ],
    "builder_modules": "旧 pipeline。",
    "principle": "按每道旧题的定义。",
    "validation": "旧专用脚本复算，未接入独立检查器；对应旧题不在 160 道挑选中。",
    "limits": "对应旧题在 2026-09-22 专项筛查中多数列为“小修后复查”；需先确认哪些比较真正需要推断。",
    "gap": "需要先确认哪些比较真正需要推断；否则并入感知族。",
    "template_review": "既有旧模块，未迁入题型族。",
    "independent_checker": ""
   },
   {
    "id": "electronic_property_from_geometry",
    "name": "电子性质（能隙、偶极）",
    "ability": "inference",
    "status": "rebuild_needed",
    "priority": 8,
    "concept": "旧题直接给出能级/偶极向量，删去几何仍可作答。",
    "domains": [
     "quantum"
    ],
    "output": "numeric",
    "output_forms": [
     "numeric"
    ],
    "inputs": "OE62/QM7-X 能级列表或偶极矢量。",
    "physical_conditions": "给定泛函。",
    "input_scale": "分子",
    "reasoning_scale": "无（几何非必要）",
    "scale_cells": [],
    "scale_limits": "几何非必要。",
    "source_basis": "OE62、QM7-X",
    "answer_method": "算术（旧题）。",
    "distractor_mechanisms": [],
    "four_choice_validation": "不适用。",
    "engine_families": [],
    "legacy_families": [
     "homo_lumo_gap",
     "gap_method_comparison",
     "cross_molecule_gap_comparison",
     "dipole_magnitude_change"
    ],
    "legacy_qa": [
     "QNI004",
     "QNI005",
     "QNI006",
     "QNI007",
     "QNI008",
     "QNI009"
    ],
    "code": [],
    "tests": [],
    "builder_modules": "旧 pipeline。",
    "principle": "算术（由给定能级相减等），不需要几何。",
    "validation": "无独立验证：旧题直接给出能级或偶极向量。",
    "limits": "删去几何仍可作答，因此不扩量；重建方向见 gap。",
    "gap": "重建方向：改为 conformer_target_selection 式的“由结构选性质”题，而不是给出能级。",
    "template_review": "筛查判定 rebuild。",
    "independent_checker": ""
   },
   {
    "id": "conformer_target_selection",
    "name": "构象设计选择",
    "ability": "design",
    "status": "pilot",
    "priority": 1,
    "concept": "给定起始构象 S0、允许修改（仅单键旋转：原子、键连与立体中心构型不变）和目标性质（最低能量或最大偶极），从四个真实候选构象中选出唯一满足目标者。",
    "domains": [
     "quantum",
     "chemistry"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "S0 与四个候选的 XYZ（Å）；性质证据只在审核侧。",
    "physical_conditions": "性质为 QM7-X PBE0+MBD 单点值（DFTB3+MBD 优化几何）。",
    "input_scale": "S0 最大间距",
    "reasoning_scale": "整分子构象（0.4–0.8 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "计算证据，不是实验构象分布或自由能；不是开放式生成。",
    "source_basis": "QM7-X（CC BY 4.0）",
    "answer_method": "逐项检查约束（原子、键连图、立体中心带符号体积、与 S0 不同、偶极矢量一致）；去除同一/镜像构象；最优项领先第二名 ≥ 阈值（能量 0.0434 eV，偶极 0.10 e·Å）。",
    "distractor_mechanisms": [
     "real_candidate_worse_by_computed_property",
     "compactness_heuristic (选 Rg 最小/最大；选择时优先让正确项不是极值)",
     "minimal_change_heuristic (选与 S0 最接近者；记录诊断)"
    ],
    "four_choice_validation": "四个候选均满足约束；唯一最优；数据集 ID 不出现在学生包；凑不齐则记录失败。",
    "engine_families": [
     "conformer_target_selection"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/conformer_design.py",
     "tools/build_family_assets.py",
     "checkers/families.py"
    ],
    "tests": [
     "tests/test_task_families.py",
     "tests/test_checkers.py"
    ],
    "builder_modules": "旧 M3 仍拒绝 design；本族在族引擎内实现独立约束与唯一性检查，未改动旧门槛。",
    "principle": "候选选择 + 计算性质证据。",
    "validation": "约束与唯一性；性质值来自数据集，未独立重算 DFT。",
    "limits": "未独立复算 PBE0+MBD；目标只对所述理论水平成立。",
    "gap": "论文 S0→S1 优化案例（design_choice）仍缺实例。",
    "template_review": "本轮新建，待人工审核。用户 2026-09-28 确认：以计算性质为证据的构象选择算设计题。",
    "independent_checker": "checkers/families.py:conformer_selection"
   },
   {
    "id": "design_choice",
    "name": "有证据的结构优化选择（论文案例）",
    "ability": "design",
    "status": "pilot",
    "priority": 2,
    "concept": "从论文中记录在案的结构优化构题：作者为某个目标刻意改了一处结构特征（芳香墙加长、门户取代基加大、孔口收窄），并对每个变体都测了性质。题干给出目标（实测性质的阈值）与四个只用结构描述呈现的候选；实测表留在审核侧，所以这是设计选择，不是查表。",
    "domains": [
     "chemistry",
     "materials"
    ],
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "inputs": "candidates.txt（四个候选的结构描述，逐项转述并带原文位置）；实测性质表与原文位置只在审核侧。",
    "physical_conditions": "按论文的实测条件写入题干（缓冲液与温度、溶剂与温度、暴露压力与温度）。",
    "input_scale": "候选结构（分子夹–染料复合物、大环空腔、框架孔口）",
    "reasoning_scale": "决定性质的那一处几何（芳香墙长轴 0.70–0.92 nm；C–H···X⁻ 接触 0.31 nm；孔口 0.32–0.80 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "尺度取决定目标性质的那一处几何，不取整个候选分子或整块晶体。",
    "source_basis": "2026-10-19 下载的三篇 CC BY 全文（本地 inputs/papers/，不入库）：Vincent 2025（分子夹芳香墙 H1→H2，Table 1 的 14 种染料 × 2 主体）、Rando 2025（竹环脲门户取代基 BnBU/BU1/BU2，Table 1 与 Table S3 的 10 种阴离子）、Chetry 2026（MOF 孔口与 D₂/H₂ 分离，Table 1 与 TDS 结果）。设计卡 docs/assets/families/design/*.json 逐项记录原文位置。",
    "answer_method": "逐个候选、逐条约束比对实测值；恰好一个候选满足全部约束，且必须是原文选定的那一个。",
    "distractor_mechanisms": [
     "measured_inferior_analogue（同篇论文测过但不达标的同类结构）",
     "violates_constraint（主性质达标却破坏另一条约束，如最窄孔把容量压到 0.2 mmol g⁻¹）",
     "host_walls_not_extended / guest_not_extended / neither_extended（只改一侧的 π 延长）",
     "extended_walls_weaken_this_guest（实测反例：延长墙反而变弱）",
     "strongest_binder_cue（绝对结合最强但选择性方向错）",
     "distorted_cavity（取代基一样大，位置不同导致空腔扭曲）",
     "solvent_change_insufficient（换溶剂不改变几何）",
     "narrowest_pore_cue / pore_too_wide / interpenetrated_network（孔口几何的三种误判）"
    ],
    "four_choice_validation": "四个候选必须对每条受约束的性质都有实测值且带原文位置（“未测过”不会被当成“不行”）；每个候选与每个阈值之间必须有 margin（默认 1.2 倍）的距离；恰好一个候选满足全部约束。",
    "engine_families": [
     "design_choice"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/paper_design.py",
     "checkers/paper_design.py"
    ],
    "tests": [
     "tests/test_paper_design.py"
    ],
    "builder_modules": "族引擎内实现；设计卡人工转录，候选结构描述与实测值各带原文位置供 L1 对照。",
    "principle": "设计 = 给定目标选结构；正确答案由论文的实测值确定，干扰项是同一篇论文做过、测过但不达标的结构。",
    "validation": "独立检查器（checkers/paper_design.py:design_choice）读取哈希核对的设计卡，核对 candidates.txt 与卡片逐行一致，从题干文本中重新解析每个阈值（卡片只提供比较方向），用 Decimal 重新判定，并要求唯一满足者即原文选定者。单侧界（原文只给 “> 16”）只允许判定其能判定的一侧，另一侧直接报错。",
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述是否足以推出答案而非靠记忆（著名材料有被认出的风险），以及结构描述是否忠于原文；两者须 L1 对照原文位置核对，难度由 L4 判定。Chetry 2026 严格说是“在已有材料中筛选”而非“为目标改造结构”，是否计入路线① 待导师审定。",
    "gap": "第一批 6 道（3 篇论文，每篇两个目标共用一张实测表）。只覆盖化学 C4a/C4b 与材料 M4a，都不是空白子领域；尚未覆盖生物、量子，也未覆盖 C5 反应与催化（检索中未找到既开放获取、又有四个候选的实测性能表的优化论文）。",
    "template_review": "2026-10-19 由 planned 转 pilot（导师设计题路线①），待 L1/L2 人工审核；L1 须逐项对照原文位置。",
    "independent_checker": "checkers/paper_design.py:design_choice"
   },
   {
    "id": "open_structure_design",
    "name": "开放结构生成",
    "ability": "design",
    "status": "blocked",
    "priority": 10,
    "concept": "输出新结构；可能有多个有效解。",
    "domains": [
     "chemistry",
     "materials"
    ],
    "output": "structure",
    "output_forms": [
     "structure"
    ],
    "inputs": "起始结构、可变部分、目标、约束与输出结构格式。",
    "physical_conditions": "按目标。",
    "input_scale": "按实例",
    "reasoning_scale": "按实例",
    "scale_cells": [],
    "scale_limits": "暂无评价器。",
    "source_basis": "—",
    "answer_method": "需结构合法性、约束和目标评价器。",
    "distractor_mechanisms": [],
    "four_choice_validation": "不适用。",
    "engine_families": [],
    "legacy_families": [],
    "legacy_qa": [],
    "code": [],
    "tests": [],
    "builder_modules": "未开放。",
    "principle": "输出可能有多个有效结构，不能要求与唯一坐标逐字相同。",
    "validation": "必须有结构合法性、约束和目标评价器。",
    "limits": "暂无通用评价器，不计入完成。",
    "gap": "保留路线。",
    "template_review": "保留路线，当前不开放。",
    "independent_checker": ""
   },
   {
    "status": "pilot",
    "priority": 1,
    "domains": [
     "quantum",
     "chemistry"
    ],
    "output": "choice",
    "input_scale": "整个分子（13–56 个原子）",
    "reasoning_scale": "整分子转动惯量（分子最大原子间距 0.5–1.2 nm）",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "推理需要整个分子的质量分布；大于 60 个原子的主体分子不出题（超出常见转动光谱范围）。",
    "inputs": "XYZ（QM7-X 优化几何或 SAMPL9 客体结构，按行号计数）。",
    "physical_conditions": "刚性转子、给定平衡几何；题干写明最丰同位素质量、h 与原子质量单位；不含振动平均、离心畸变与超精细结构。",
    "source_basis": "QM7-X（CC BY 4.0）、SAMPL9 客体（仓库内已有资产，不新下载）",
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/rotational.py",
     "checkers/rotational.py",
     "enumerators.py"
    ],
    "tests": [
     "tests/test_rotational.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；枚举器 enumerators.py。",
    "template_review": "2026-10-06 新建，待 L1/L2 人工审核。",
    "id": "rotational_line",
    "name": "转动跃迁频率",
    "ability": "inference",
    "engine_families": [
     "rotational_line"
    ],
    "output_forms": [
     "numeric",
     "choice"
    ],
    "concept": "由分子几何预测转动光谱：质心 → 惯量张量 → 主转动惯量 → 转动常数 A ≥ B ≥ C → J = 1 能级 → 1_01、1_11 或 1_10 ← 0_00 跃迁频率。几何决定可观测谱线（量子力学刚性转子）。",
    "answer_method": "质量加权、平移到质心的惯量张量，循环 Jacobi 对角化；跃迁频率按非对称陀螺 J = 1 能级（B+C、A+C、A+B）；以张量迹不变量自检。",
    "distractor_mechanisms": [
     "other_J1_level",
     "linear_rotor_2B",
     "unrotated_tensor_diagonal",
     "origin_not_centre_of_mass",
     "heavy_atoms_only",
     "four_pi_squared",
     "polar_moment_as_I",
     "average_atomic_weights",
     "equal_masses",
     "single_constant",
     "hbar_instead_of_h"
    ],
    "four_choice_validation": "与正确值相差 > 2%（且 ≥ 20 个末位），干扰项之间 > 1%；升序排列，秩按批次轮换；枚举实例设 strict_rank。2026-10-06 探针 runs/enum-v32：99 个候选接受 81，独立检查全部一致；1_10 线答案几乎不在 A、1_01 线几乎不在 D（其余能级在物理上位于一侧），三条线合起来位置均衡。",
    "principle": "刚性转子：X = h/(8π²I_x)；非对称陀螺 J = 1 的三个能级分别为 B+C（1_01）、A+C（1_11）、A+B（1_10）。",
    "validation": "独立检查器（checkers/rotational.py:rotational_line）从题干读取同位素质量、h 与 u，核对附件与源文件逐字一致，用 Decimal 累加质心与惯量张量，以三次特征方程的三角闭式解求主惯量，按自己的 J = 1 能级表重算频率，并核对四个选项与答案键。",
    "limits": "平衡几何不是振动平均结构（r_e ≠ r_0），与实测谱线可差约 1%；SAMPL9 客体为铵正离子；不评估跃迁的偶极强度。",
    "gap": "尚无 J = 2 ← 1 等更高跃迁与离心畸变；题干不给能级公式（考查是否知道非对称陀螺能级标号）。",
    "independent_checker": "checkers/rotational.py:rotational_line"
   },
   {
    "status": "pilot",
    "priority": 1,
    "domains": [
     "quantum",
     "chemistry"
    ],
    "output": "choice",
    "input_scale": "整个分子（13–56 个原子）",
    "reasoning_scale": "整分子转动惯量（分子最大原子间距 0.5–1.2 nm）",
    "scale_cells": [
     "0.1-1",
     "1-10"
    ],
    "scale_limits": "推理需要整个分子的质量分布；大于 60 个原子的主体分子不出题（超出常见转动光谱范围）。",
    "inputs": "XYZ（QM7-X 优化几何或 SAMPL9 客体结构，按行号计数）。",
    "physical_conditions": "刚性转子、给定平衡几何；题干写明最丰同位素质量、h 与原子质量单位；不含振动平均、离心畸变与超精细结构。",
    "source_basis": "QM7-X（CC BY 4.0）、SAMPL9 客体（仓库内已有资产，不新下载）",
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/rotational.py",
     "task_families/chem_names.py",
     "checkers/rotational.py",
     "enumerators.py"
    ],
    "tests": [
     "tests/test_rotational.py",
     "tests/test_chem_names.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；枚举器 enumerators.py。",
    "template_review": "2026-10-06 新建，待 L1/L2 人工审核。",
    "id": "isotopologue_design",
    "name": "单氘代位点设计",
    "ability": "design",
    "engine_families": [
     "isotopologue_design"
    ],
    "output_forms": [
     "choice"
    ],
    "concept": "为替代法（Kraitchman）结构测定选择单氘代位点：四个候选 H 中，换成 D 后使指定转动跃迁位移最大者。设计 = 转动谱线推断的逆问题；位移取决于到主轴的距离，而不只是到质心的距离。 题干写明每个候选 H 所连原子及其官能团角色（如“H10 连在甲基碳 C1 上”）。",
    "answer_method": "对每个候选 H 换成 D 质量，重新计算质心、惯量张量与跃迁频率，取绝对位移最大者；要求领先第二名 ≥ 15% 且 ≥ 0.5 MHz。",
    "distractor_mechanisms": [
     "farthest_from_centre_of_mass",
     "best_for_other_line",
     "best_for_single_constant",
     "smaller_shift"
    ],
    "four_choice_validation": "恰好一个候选位移最大且领先足够；正确项按批次目标位置放置。枚举器优先提出“离质心更远的 H 是干扰项”的集合，并按约 1:3 加入捷径能答对的集合；runs/enum-v32 中捷径命中 52/524，改进后的候选中为 90/610（约 15%，低于随机）。",
    "principle": "同位素取代改变质量分布与质心，ΔI 取决于取代原子到各主轴的距离；谱线位移为两个转动常数变化之和。",
    "validation": "独立检查器（checkers/rotational.py:isotopologue_design）从题干读取质量（含 D）、h 与 u，核对候选均为 H、选项与候选列表一致，逐个替换质量后用 Decimal 张量与三次方程闭式解重算位移，要求唯一最大且领先足够，并核对答案键。 检查器还逐条核对题干中“Hn is bonded to Xm”的连接说法（自己的共价半径规则，取最近原子）。",
    "limits": "几何不随同位素改变（忽略零点振动差异）；不评估合成可行性、谱线强度与对称等价位点的统计权重。",
    "gap": "尚未包含双取代、13C 取代与 Kraitchman 坐标精度（位点靠近主轴时不确定度大）的定量设计。",
    "independent_checker": "checkers/rotational.py:isotopologue_design"
   },
   {
    "status": "pilot",
    "priority": 1,
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "input_scale": "整个分子（14 个原子）",
    "reasoning_scale": "给体–受体或氢–受体距离（0.15–0.5 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "分子内单个接触的局部几何。",
    "inputs": "XYZ（论文 SI 的计算构象，按行号计数）。",
    "physical_conditions": "单一计算构象，坐标原样；不含振动平均与溶剂。",
    "source_basis": "Altun, Bleda & Trindle, Molecules 26, 2623 (2021)（CC BY 4.0）SI 第 3–6 页坐标（仓库内已有资产）",
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/hbond.py",
     "checkers/hbonds.py",
     "task_families/chem_names.py"
    ],
    "tests": [
     "tests/test_hbond.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；数据只有 4 个构象，未写枚举器。",
    "template_review": "2026-10-13 新建，待 L1/L2 人工审核。",
    "id": "hbond_geometry",
    "name": "氢键几何量",
    "ability": "perception",
    "engine_families": [
     "hbond_geometry"
    ],
    "output_forms": [
     "numeric",
     "choice"
    ],
    "concept": "分子内氢键 D–H···A 的几何量：给体–受体距离、氢–受体距离或 D–H···A 角；原子按化学角色命名（如羟基氧、羰基氧、酰胺氮）。",
    "answer_method": "指定原子的欧氏距离或以 H 为顶点的向量夹角；共价半径规则确认 D–H 成键、H–A 不成键。",
    "distractor_mechanisms": [
     "h_acceptor_instead",
     "donor_acceptor_instead",
     "path_through_h",
     "linear_assumption",
     "covalent_d_h",
     "other_acceptor",
     "angle_at_donor",
     "angle_at_acceptor",
     "supplement",
     "acceptor_side"
    ],
    "four_choice_validation": "距离与正确值相差 > 0.03 Å、角度 > 3°；升序排列，秩按批次轮换。",
    "principle": "氢键几何由给体、氢、受体三个原子的相对位置决定；常见混淆是把 D···A 与 H···A 互换、把角度顶点放错。",
    "validation": "独立检查器（checkers/hbonds.py:hbond_geometry）从题干读出三个原子行号与所问量，用 Decimal 距离和余弦定理重算，并用自己的共价半径确认成键关系。",
    "limits": "只测几何量，不据此判定氢键强弱、能量或光谱位移。",
    "gap": "只有一篇论文的 4 个构象；扩量需要更多含分子内氢键的结构（如 GEOM、QM7-X 中的羟基 / 酰胺分子）。",
    "independent_checker": "checkers/hbonds.py:hbond_geometry"
   },
   {
    "status": "pilot",
    "priority": 1,
    "domains": [
     "chemistry"
    ],
    "output": "choice",
    "input_scale": "整个分子（14 个原子）",
    "reasoning_scale": "给体–受体或氢–受体距离（0.15–0.5 nm）",
    "scale_cells": [
     "0.1-1"
    ],
    "scale_limits": "分子内单个接触的局部几何。",
    "inputs": "XYZ（论文 SI 的计算构象，按行号计数）。",
    "physical_conditions": "单一计算构象，坐标原样；不含振动平均与溶剂。",
    "source_basis": "Altun, Bleda & Trindle, Molecules 26, 2623 (2021)（CC BY 4.0）SI 第 3–6 页坐标（仓库内已有资产）",
    "legacy_families": [],
    "legacy_qa": [],
    "code": [
     "task_families/hbond.py",
     "checkers/hbonds.py",
     "task_families/chem_names.py"
    ],
    "tests": [
     "tests/test_hbond.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；数据只有 4 个构象，未写枚举器。",
    "template_review": "2026-10-13 新建，待 L1/L2 人工审核。",
    "id": "hbond_criteria",
    "name": "按几何判据识别氢键",
    "ability": "inference",
    "engine_families": [
     "hbond_criteria"
    ],
    "output_forms": [
     "choice"
    ],
    "concept": "给定操作判据（H···A ≤ d、D–H···A ≥ θ），在四个候选接触中判断哪一个构成分子内氢键；考查“只看给体–受体距离不够，氢要指向受体”。",
    "answer_method": "逐个候选计算 H···A 与 D–H···A 角，恰好一个同时满足两项判据；每个候选与阈值至少相差 0.10 Å / 5°。",
    "distractor_mechanisms": [
     "donor_acceptor_close",
     "distance_only",
     "angle_only",
     "neither"
    ],
    "four_choice_validation": "恰好一个候选满足两项判据；其余各记录不满足的原因；正确项按批次目标位置放置。",
    "principle": "氢键的几何判据同时要求距离与方向；给体与受体靠近而氢背向受体时不构成氢键。",
    "validation": "独立检查器（checkers/hbonds.py:hbond_criteria）从题干读出判据与各候选的构象和原子，逐个重算并要求恰好一个满足。",
    "limits": "判据是题设操作定义，不是氢键的普适定义；不判断能量。",
    "gap": "同上：构象来源有限。",
    "independent_checker": "checkers/hbonds.py:hbond_criteria"
   },
   {
    "status": "pilot",
    "priority": 1,
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "inputs": "evidence.txt（论文事实逐条转述，E1–En）；氢键题另附论文 SI 构象 XYZ。",
    "physical_conditions": "按论文的实验或计算条件写入证据条目。",
    "source_basis": "第 1 步下载的论文全文（本地 inputs/papers/，不入库）与 Altun 2021 SI；证据卡 docs/assets/families/evidence/*.json 逐条记录原文位置。",
    "code": [
     "task_families/evidence.py",
     "checkers/evidence.py",
     "tools/build_evidence_assets.py"
    ],
    "tests": [
     "tests/test_evidence.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；证据卡人工转录，每条带原文位置供 L1 对照。",
    "template_review": "2026-10-16 新建（导师第六次会议“证据 → 结论”），待 L1/L2 人工审核；L1 须逐条对照原文位置。",
    "id": "evidence_quantity",
    "name": "论文证据 → 计算 → 结论",
    "ability": "inference",
    "domains": [
     "quantum",
     "chemistry"
    ],
    "input_scale": "证据卡（论文事实）",
    "reasoning_scale": "由证据算出的几何量（0.26 nm–0.86 μm）",
    "scale_cells": [
     "0.1-1",
     "10-100",
     "100-1000"
    ],
    "scale_limits": "尺度取所算几何量（间距、厚度、莫尔周期、螺距、给体–受体距离等）。",
    "concept": "给出论文中的若干事实（数值与观测），先算一个几何量（载流子间距、环路面积、轨道临界场、等面积转角、涡旋数、反射带宽、HTP 比值、给体–受体距离差），再判断论文的关键结论。",
    "answer_method": "数值由代码从证据卡计算；四个选项 = 数值（正确 / 登记的错误做法）× 结论（原文结论 / 原文排除的解释），恰好一个两者都对。",
    "distractor_mechanisms": [
     "rejected_conclusion（原文排除的解释）",
     "wrong_constant（如 h/e 代替 h/2e）",
     "wrong_input_fact（如用总密度代替有效密度）",
     "wrong_formula（如垂直场公式、只取单一方向）",
     "confused_quantity（如 H···A 代替 D···A、中心代替带宽）"
    ],
    "four_choice_validation": "两个数值相差 ≥ 规定间隔且显示不同；四个组合齐全；独立检查器以 Decimal 复算并逐项解析选项。",
    "principle": "把论文结论放回它依赖的几何量上：先算对量，再选对解释。",
    "validation": "独立检查器（checkers/evidence.py:evidence_quantity）读取哈希核对的证据卡，核对 evidence.txt 与卡片逐条一致、数字逐个印在条目中，用不同算法复算两个数值，并要求选项正好是四个组合、只有一个正确。",
    "limits": "程序保证数值与组合结构；证据转录、结论措辞是否忠于原文须人工对照原文位置（L1）。选项是两个二元判断的组合（格式检查记为低严重度）。",
    "gap": "第一批 9 道（7 篇论文）；尚未覆盖材料、生物。",
    "independent_checker": "checkers/evidence.py:evidence_quantity",
    "engine_families": [
     "evidence_quantity"
    ]
   },
   {
    "status": "pilot",
    "priority": 1,
    "output": "choice",
    "output_forms": [
     "choice"
    ],
    "legacy_families": [],
    "legacy_qa": [],
    "inputs": "evidence.txt（论文事实逐条转述，E1–En）；氢键题另附论文 SI 构象 XYZ。",
    "physical_conditions": "按论文的实验或计算条件写入证据条目。",
    "source_basis": "第 1 步下载的论文全文（本地 inputs/papers/，不入库）与 Altun 2021 SI；证据卡 docs/assets/families/evidence/*.json 逐条记录原文位置。",
    "code": [
     "task_families/evidence.py",
     "checkers/evidence.py",
     "tools/build_evidence_assets.py"
    ],
    "tests": [
     "tests/test_evidence.py"
    ],
    "builder_modules": "族引擎内实现（M3–M5）；证据卡人工转录，每条带原文位置供 L1 对照。",
    "template_review": "2026-10-16 新建（导师第六次会议“证据 → 结论”），待 L1/L2 人工审核；L1 须逐条对照原文位置。",
    "id": "evidence_elimination",
    "name": "论文证据 → 排除 → 结论",
    "ability": "inference",
    "domains": [
     "quantum",
     "chemistry"
    ],
    "input_scale": "证据卡（论文观测）",
    "reasoning_scale": "证据所描述结构的特征尺度（0.26 nm–0.45 μm）",
    "scale_cells": [
     "0.1-1",
     "10-100",
     "100-1000"
    ],
    "scale_limits": "尺度取证据所描述结构的特征长度（莫尔晶胞、涡旋间距、螺距、O···O 距离）。",
    "concept": "给出论文中的若干观测，四个候选解释中只有一个与全部观测一致；其余三个是论文讨论并排除的解释（或超出证据的说法）。",
    "answer_method": "证据卡为每个解释写明对相关观测的预期；代码逐条比对观测，恰好一个解释无矛盾且为原文结论，其余每个至少与一条给学生的事实矛盾。",
    "distractor_mechanisms": [
     "rejected_alternative（原文排除的解释）",
     "overreach（超出证据的结论）",
     "surface_cue（只看表面线索，如有键径即判氢键）"
    ],
    "four_choice_validation": "每个预期都对应某条观测；恰好一个解释存活且为原文结论；独立检查器重新比对。",
    "principle": "结论要经得起每一条证据；其他解释必须被具体证据排除。",
    "validation": "独立检查器（checkers/evidence.py:evidence_elimination）读取哈希核对的证据卡，核对事实与选项，重新比对预期与观测，要求唯一存活者为原文结论。",
    "limits": "排除逻辑由程序执行；各解释的“预期”由人从原文整理，其科学正确性须 L1 对照原文核对。",
    "gap": "第一批 4 道（4 篇论文）。",
    "independent_checker": "checkers/evidence.py:evidence_elimination",
    "engine_families": [
     "evidence_elimination"
    ]
   }
  ]
 },
 "student_packets": [
  {
   "id": "FA-ANG-BCD",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one beta-cyclodextrin host conformer (147 atoms, angstrom). Atoms C4–O3–C37 form the bridging ether linkage between two glucose units, O3 bonded to C4 and C37 as in the source PDB CONECT record (C4 = row 4, O3 = row 45, C37 = row 37; rows counted from 1 after the two XYZ header lines). What is the C4–O3–C37 bond angle at O3 in this supplied conformer?",
   "scope": "SAMPL9 提供的单一 β-CD 构象；按行号指定 PDB 原子名；只测该构象，不优化、不推断结合。",
   "inputs": [
    {
     "name": "BCD.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "147\nCoordinates in angstrom; atoms numbered from 1.\nC 10.975 5.501 1.308\nC 9.906 5.181 0.265\nC 10.478 4.258 -0.819\nC 11.757 4.879 -1.391\nC 12.764 5.152 -0.277\nC 13.949 5.967 -0.810\nC 12.032 2.969 5.868\nC 10.644 2.851 5.349\nC 10.582 3.034 3.829\nC 11.288 4.260 3.431\nC 12.723 4.231 3.955\nC 13.618 5.427 3.625\nC 15.437 -0.903 7.009\nC 13.986 -1.333 6.971\nC 13.229 -0.412 6.009\nC 13.420 0.837 6.460\nC 14.904 1.396 6.570\nC 15.121 2.708 7.213\nC 19.189 -2.627 3.669\nC 18.386 -3.655 4.496\nC 17.051 -3.029 4.869\nC 17.277 -1.722 5.591\nC 18.177 -0.801 4.771\nC 18.610 0.440 5.611\nC 19.009 -2.324 -1.639\nC 18.626 -3.644 -0.974\nC 18.047 -3.406 0.405\nC 19.039 -2.628 1.238\nC 19.375 -1.335 0.515\nC 20.439 -0.479 1.245\nC 16.071 0.636 -4.915\nC 15.937 -0.889 -4.972\nC 16.248 -1.483 -3.606\nC 17.628 -1.041 -3.173\nC 17.698 0.490 -3.141\nC 19.079 1.036 -2.821\nC 12.444 4.271 -3.634\nC 11.970 3.092 -4.493\nC 12.864 1.872 -4.258\nC 14.311 2.253 -4.501\nC 14.734 3.488 -3.711\nC 16.080 4.043 -4.152\nO 8.783 4.575 0.907\nO 9.530 4.121 -1.882\nO 12.299 3.883 -2.279\nO 12.119 6.046 0.689\nO 14.910 6.073 0.207\nO 10.118 1.562 5.724\nO 9.183 3.067 3.419\nO 11.306 4.287 1.980\nO 12.652 4.157 5.407\nO 14.820 5.191 3.920\nO 13.865 -2.702 6.565\nO 11.826 -0.713 6.034\nO 12.786 1.828 5.432\nO 15.560 0.428 7.430\nO 14.494 2.740 8.498\nO 18.177 -4.847 3.743\nO 16.293 -3.928 5.696\nO 15.981 -1.093 5.714\nO 19.379 -1.466 4.416\nO 19.351 1.331 4.816\nO 17.691 -4.343 -1.829\nO 17.745 -4.662 1.013\nO 18.439 -2.350 2.487\nO 19.914 -1.607 -0.792\nO 21.579 -1.202 1.589\nO 14.581 -1.188 -5.398\nO 16.199 -2.921 -3.699\nO 17.839 -1.565 -1.854\nO 17.383 0.975 -4.473\nO 20.081 0.584 -3.722\nO 10.599 2.773 -4.186\nO 12.488 0.808 -5.154\nO 15.091 1.153 -4.046\nO 13.782 4.580 -3.947\nO 16.027 4.385 -5.538\nH 13.277 6.294 4.192\nH 13.549 5.640 2.559\nH 9.087 3.764 1.320\nH 9.370 4.996 -2.243\nH 15.152 5.183 0.472\nH 10.673 0.893 5.317\nH 8.771 3.818 3.852\nH 14.857 5.007 4.862\nH 14.252 -2.781 5.690\nH 11.519 -0.591 6.935\nH 13.557 2.577 8.368\nH 17.694 -4.608 2.949\nH 16.806 -4.094 6.490\nH 18.790 1.606 4.087\nH 16.916 -3.784 -1.929\nH 18.568 -5.148 1.100\nH 21.980 -1.517 0.775\nH 13.984 -0.839 -4.732\nH 16.843 -3.191 -4.358\nH 19.811 0.838 -4.607\nH 10.558 2.533 -3.257\nH 12.592 1.133 -6.051\nH 15.799 3.590 -6.025\nH 10.566 6.201 2.041\nH 9.589 6.104 -0.212\nH 10.699 3.295 -0.370\nH 11.536 5.808 -1.913\nH 13.109 4.199 0.226\nH 14.420 5.458 -1.699\nH 13.596 6.954 -1.194\nH 12.002 2.982 6.970\nH 10.020 3.608 5.806\nH 11.071 2.166 3.332\nH 10.754 5.142 3.814\nH 13.230 3.342 3.571\nH 15.995 -1.564 7.709\nH 13.551 -1.223 7.963\nH 13.629 -0.537 4.996\nH 12.924 1.151 7.431\nH 15.363 1.368 5.576\nH 14.742 3.517 6.559\nH 16.216 2.894 7.330\nH 20.158 -3.038 3.398\nH 18.935 -3.902 5.405\nH 16.490 -2.823 3.959\nH 17.722 -1.920 6.566\nH 17.652 -0.442 3.882\nH 17.726 0.938 6.031\nH 19.223 0.092 6.473\nH 19.529 -2.537 -2.589\nH 19.513 -4.283 -0.858\nH 17.130 -2.826 0.291\nH 19.948 -3.211 1.372\nH 18.470 -0.757 0.381\nH 20.685 0.372 0.638\nH 19.961 -0.107 2.175\nH 15.909 1.045 -5.919\nH 16.650 -1.278 -5.718\nH 15.535 -1.123 -2.871\nH 18.378 -1.450 -3.880\nH 16.948 0.861 -2.422\nH 19.047 2.135 -2.858\nH 19.356 0.760 -1.794\nH 11.798 5.147 -3.824\nH 12.037 3.365 -5.534\nH 12.758 1.534 -3.211\nH 14.473 2.421 -5.576\nH 14.760 3.244 -2.636\nH 16.870 3.297 -3.996\nH 16.339 4.933 -3.558\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "105.31",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "109.47",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "111.70",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "116.03",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ANG-WP6",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one WP6 (carboxylated pillar[6]arene) host conformer (150 atoms, angstrom); labels are element plus XYZ row. Atoms C3–C1–C4 form an internal angle of the phenylene ring C1-C4-C5-C2-C6-C3 (C3 = row 3, C1 = row 1, C4 = row 4; rows counted from 1 after the two XYZ header lines). What is the C3–C1–C4 bond angle at C1 in this supplied conformer?",
   "scope": "SAMPL9 单一 WP6 构象；只问该环内角，不证明整环平面性。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "116.70",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "117.63",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "119.94",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "122.32",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ANG-DMBCD",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one heptakis(2,6-di-O-methyl)-beta-cyclodextrin host conformer (189 atoms, angstrom). Atoms C3–O2–CH3-C45 form an exocyclic methyl-ether linkage: ring carbon C3, ether oxygen O2 and its methyl carbon (row 45) (C3 = row 3, O2 = row 44, CH3-C45 = row 45; rows counted from 1 after the two XYZ header lines). What is the C3–O2–CH3-C45 bond angle at O2 in this supplied conformer?",
   "scope": "SAMPL9 单一 DM-β-CD 构象；只测该醚键角；典型值只作干扰机制，不评分。",
   "inputs": [
    {
     "name": "DMBCD.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "189\nCoordinates in angstrom; atoms numbered from 1.\nC 10.975 5.501 1.308\nC 9.906 5.181 0.265\nC 10.478 4.258 -0.819\nC 11.757 4.879 -1.391\nC 12.764 5.152 -0.277\nC 13.949 5.967 -0.810\nC 12.032 2.969 5.868\nC 10.644 2.851 5.349\nC 10.582 3.034 3.829\nC 11.288 4.260 3.431\nC 12.723 4.231 3.955\nC 13.618 5.427 3.625\nC 15.437 -0.903 7.009\nC 13.986 -1.333 6.971\nC 13.229 -0.412 6.009\nC 13.420 0.837 6.460\nC 14.904 1.396 6.570\nC 15.121 2.708 7.213\nC 19.189 -2.627 3.669\nC 18.386 -3.655 4.496\nC 17.051 -3.029 4.869\nC 17.277 -1.722 5.591\nC 18.177 -0.801 4.771\nC 18.610 0.440 5.611\nC 19.009 -2.324 -1.639\nC 18.626 -3.644 -0.974\nC 18.047 -3.406 0.405\nC 19.039 -2.628 1.238\nC 19.375 -1.335 0.515\nC 20.439 -0.479 1.245\nC 16.071 0.636 -4.915\nC 15.937 -0.889 -4.972\nC 16.248 -1.483 -3.606\nC 17.628 -1.041 -3.173\nC 17.698 0.490 -3.141\nC 19.079 1.036 -2.821\nC 12.444 4.271 -3.634\nC 11.970 3.092 -4.493\nC 12.864 1.872 -4.258\nC 14.311 2.253 -4.501\nC 14.734 3.488 -3.711\nC 16.080 4.043 -4.152\nO 8.783 4.575 0.907\nO 9.530 4.121 -1.882\nC 9.292 5.422 -2.419\nO 12.299 3.883 -2.279\nO 12.119 6.046 0.689\nO 14.910 6.073 0.207\nC 14.979 7.446 0.593\nO 10.118 1.562 5.724\nO 9.183 3.067 3.419\nC 8.570 4.184 4.064\nO 11.306 4.287 1.980\nO 12.652 4.157 5.407\nO 14.820 5.191 3.920\nC 15.475 6.446 4.103\nO 13.865 -2.702 6.565\nO 11.826 -0.713 6.034\nC 11.369 -0.531 7.375\nO 12.786 1.828 5.432\nO 15.560 0.428 7.430\nO 14.494 2.740 8.498\nC 15.389 3.392 9.400\nO 18.177 -4.847 3.743\nO 16.293 -3.928 5.696\nC 17.056 -4.176 6.877\nO 15.981 -1.093 5.714\nO 19.379 -1.466 4.416\nO 19.351 1.331 4.816\nC 20.615 1.527 5.451\nO 17.691 -4.343 -1.829\nO 17.745 -4.662 1.013\nC 18.970 -5.385 1.143\nO 18.439 -2.350 2.487\nO 19.914 -1.607 -0.792\nO 21.579 -1.202 1.589\nC 22.596 -0.263 1.942\nO 14.581 -1.188 -5.398\nO 16.199 -2.921 -3.699\nC 17.157 -3.323 -4.679\nO 17.839 -1.565 -1.854\nO 17.383 0.975 -4.473\nO 20.081 0.584 -3.722\nC 21.256 1.361 -3.487\nO 10.599 2.773 -4.186\nO 12.488 0.808 -5.154\nC 12.642 1.292 -6.488\nO 15.091 1.153 -4.046\nO 13.782 4.580 -3.947\nO 16.027 4.385 -5.538\nC 16.800 5.572 -5.720\nH 13.277 6.294 4.192\nH 13.549 5.640 2.559\nH 9.087 3.764 1.320\nH 8.572 5.353 -3.234\nH 10.228 5.837 -2.795\nH 8.896 6.071 -1.638\nH 15.719 7.564 1.385\nH 14.004 7.772 0.955\nH 15.268 8.051 -0.267\nH 10.673 0.893 5.317\nH 7.520 4.237 3.777\nH 9.076 5.101 3.762\nH 8.646 4.065 5.145\nH 16.520 6.277 4.360\nH 14.988 6.997 4.907\nH 15.417 7.024 3.180\nH 14.252 -2.781 5.690\nH 10.303 -0.752 7.429\nH 11.542 0.500 7.681\nH 11.914 -1.203 8.038\nH 14.939 3.433 10.392\nH 15.584 4.405 9.048\nH 16.326 2.837 9.448\nH 17.694 -4.608 2.949\nH 16.507 -4.856 7.528\nH 17.232 -3.235 7.400\nH 18.011 -4.625 6.605\nH 21.217 2.215 4.857\nH 21.132 0.571 5.534\nH 20.461 1.944 6.446\nH 16.916 -3.784 -1.929\nH 18.773 -6.352 1.605\nH 19.662 -4.818 1.766\nH 19.409 -5.536 0.157\nH 23.505 -0.798 2.218\nH 22.257 0.337 2.787\nH 22.800 0.388 1.093\nH 13.984 -0.839 -4.732\nH 17.145 -4.409 -4.775\nH 18.150 -2.996 -4.372\nH 16.906 -2.871 -5.639\nH 22.046 1.038 -4.164\nH 21.582 1.223 -2.456\nH 21.036 2.414 -3.661\nH 10.558 2.533 -3.257\nH 12.365 0.508 -7.193\nH 13.681 1.579 -6.653\nH 11.998 2.159 -6.637\nH 16.780 5.861 -6.771\nH 17.829 5.385 -5.414\nH 16.381 6.375 -5.114\nH 10.566 6.201 2.041\nH 9.589 6.104 -0.212\nH 10.699 3.295 -0.370\nH 11.536 5.808 -1.913\nH 13.109 4.199 0.226\nH 14.420 5.458 -1.699\nH 13.596 6.954 -1.194\nH 12.002 2.982 6.970\nH 10.020 3.608 5.806\nH 11.071 2.166 3.332\nH 10.754 5.142 3.814\nH 13.230 3.342 3.571\nH 15.995 -1.564 7.709\nH 13.551 -1.223 7.963\nH 13.629 -0.537 4.996\nH 12.924 1.151 7.431\nH 15.363 1.368 5.576\nH 14.742 3.517 6.559\nH 16.216 2.894 7.330\nH 20.158 -3.038 3.398\nH 18.935 -3.902 5.405\nH 16.490 -2.823 3.959\nH 17.722 -1.920 6.566\nH 17.652 -0.442 3.882\nH 17.726 0.938 6.031\nH 19.223 0.092 6.473\nH 19.529 -2.537 -2.589\nH 19.513 -4.283 -0.858\nH 17.130 -2.826 0.291\nH 19.948 -3.211 1.372\nH 18.470 -0.757 0.381\nH 20.685 0.372 0.638\nH 19.961 -0.107 2.175\nH 15.909 1.045 -5.919\nH 16.650 -1.278 -5.718\nH 15.535 -1.123 -2.871\nH 18.378 -1.450 -3.880\nH 16.948 0.861 -2.422\nH 19.047 2.135 -2.858\nH 19.356 0.760 -1.794\nH 11.798 5.147 -3.824\nH 12.037 3.365 -5.534\nH 12.758 1.534 -3.211\nH 14.473 2.421 -5.576\nH 14.760 3.244 -2.636\nH 16.870 3.297 -3.996\nH 16.339 4.933 -3.558\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "36.14",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "107.62",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "109.47",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "110.93",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-TOR-1CRN-G20",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 19–21 of chain A from PDB entry 1CRN (crambin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Gly20, defined by atoms C(19)–N(20)–CA(20)–C(20), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 19–21 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "1CRN-A20-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    136  N   PRO A  19       3.329   4.795  -4.543  1.00  4.28           N\nATOM    137  CA  PRO A  19       2.792   5.376  -5.797  1.00  5.38           C\nATOM    138  C   PRO A  19       3.573   6.540  -6.322  1.00  6.30           C\nATOM    139  O   PRO A  19       3.260   7.045  -7.422  1.00  9.62           O\nATOM    140  CB  PRO A  19       1.358   5.766  -5.472  1.00  5.87           C\nATOM    141  CG  PRO A  19       1.223   5.694  -3.993  1.00  6.47           C\nATOM    142  CD  PRO A  19       2.421   4.941  -3.408  1.00  6.45           C\nATOM    143  N   GLY A  20       4.565   7.047  -5.559  1.00  4.94           N\nATOM    144  CA  GLY A  20       5.366   8.191  -6.018  1.00  5.39           C\nATOM    145  C   GLY A  20       5.007   9.481  -5.280  1.00  5.03           C\nATOM    146  O   GLY A  20       5.535  10.510  -5.730  1.00  7.34           O\nATOM    147  N   THR A  21       4.181   9.438  -4.262  1.00  4.10           N\nATOM    148  CA  THR A  21       3.767  10.609  -3.513  1.00  3.94           C\nATOM    149  C   THR A  21       5.017  11.397  -3.042  1.00  3.96           C\nATOM    150  O   THR A  21       5.947  10.757  -2.523  1.00  5.82           O\nATOM    151  CB  THR A  21       2.992  10.188  -2.225  1.00  4.13           C\nATOM    152  OG1 THR A  21       2.051   9.144  -2.623  1.00  5.45           O\nATOM    153  CG2 THR A  21       2.260  11.349  -1.551  1.00  5.41           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "106.3",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "-52.7",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "7.3",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "73.7",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-TOR-1UBQ-V26",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 25–27 of chain A from PDB entry 1UBQ (ubiquitin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion ψ of Val26, defined by atoms N(26)–CA(26)–C(26)–N(27), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 25–27 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "1UBQ-A26-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    188  N   ASN A  25      35.139  21.624  14.662  1.00  9.43           N\nATOM    189  CA  ASN A  25      35.590  21.945  13.302  1.00 10.96           C\nATOM    190  C   ASN A  25      35.238  23.382  12.920  1.00  9.68           C\nATOM    191  O   ASN A  25      36.066  24.109  12.333  1.00  9.33           O\nATOM    192  CB  ASN A  25      35.064  20.957  12.255  1.00 16.78           C\nATOM    193  CG  ASN A  25      35.541  21.418  10.871  1.00 22.31           C\nATOM    194  OD1 ASN A  25      36.772  21.623  10.676  1.00 25.66           O\nATOM    195  ND2 ASN A  25      34.628  21.595   9.920  1.00 24.70           N\nATOM    196  N   VAL A  26      34.007  23.745  13.250  1.00  6.52           N\nATOM    197  CA  VAL A  26      33.533  25.097  12.978  1.00  5.53           C\nATOM    198  C   VAL A  26      34.441  26.099  13.684  1.00  4.42           C\nATOM    199  O   VAL A  26      34.883  27.090  13.093  1.00  3.40           O\nATOM    200  CB  VAL A  26      32.060  25.257  13.364  1.00  3.86           C\nATOM    201  CG1 VAL A  26      31.684  26.749  13.342  1.00  7.25           C\nATOM    202  CG2 VAL A  26      31.152  24.421  12.477  1.00  8.12           C\nATOM    203  N   LYS A  27      34.734  25.822  14.949  1.00  2.64           N\nATOM    204  CA  LYS A  27      35.596  26.715  15.736  1.00  4.14           C\nATOM    205  C   LYS A  27      36.975  26.826  15.107  1.00  5.58           C\nATOM    206  O   LYS A  27      37.579  27.926  15.159  1.00  4.11           O\nATOM    207  CB  LYS A  27      35.715  26.203  17.172  1.00  3.97           C\nATOM    208  CG  LYS A  27      34.343  26.445  17.898  1.00  7.45           C\nATOM    209  CD  LYS A  27      34.509  26.077  19.360  1.00  9.02           C\nATOM    210  CE  LYS A  27      33.206  26.311  20.122  1.00 12.90           C\nATOM    211  NZ  LYS A  27      33.455  25.910  21.546  1.00 15.47           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-58.4",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "-46.4",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "46.4",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "133.6",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-TOR-6LYZ-T43",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 42–44 of chain A from PDB entry 6LYZ (hen egg-white lysozyme, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Thr43, defined by atoms C(42)–N(43)–CA(43)–C(43), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 42–44 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "6LYZ-A43-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    327  N   ALA A  42       7.552  14.357  14.323  1.00  4.92           N\nATOM    328  CA  ALA A  42       8.427  15.463  14.730  1.00  7.33           C\nATOM    329  C   ALA A  42       8.807  15.523  16.211  1.00  7.56           C\nATOM    330  O   ALA A  42       7.964  15.283  17.103  1.00 10.23           O\nATOM    331  CB  ALA A  42       7.647  16.751  14.435  1.00  7.78           C\nATOM    332  N   THR A  43      10.071  15.848  16.432  1.00  7.52           N\nATOM    333  CA  THR A  43      10.622  16.061  17.776  1.00  6.27           C\nATOM    334  C   THR A  43      11.637  17.199  17.672  1.00 10.16           C\nATOM    335  O   THR A  43      12.218  17.448  16.593  1.00  4.28           O\nATOM    336  CB  THR A  43      11.235  14.726  18.234  1.00  5.70           C\nATOM    337  OG1 THR A  43      12.261  14.469  17.281  1.00  6.25           O\nATOM    338  CG2 THR A  43      10.231  13.604  18.241  1.00  4.23           C\nATOM    339  N   ASN A  44      11.827  17.859  18.804  1.00  6.22           N\nATOM    340  CA  ASN A  44      12.810  18.940  18.949  1.00  7.48           C\nATOM    341  C   ASN A  44      13.223  19.117  20.411  1.00  7.41           C\nATOM    342  O   ASN A  44      12.369  19.302  21.304  1.00  5.52           O\nATOM    343  CB  ASN A  44      12.215  20.256  18.406  1.00  5.16           C\nATOM    344  CG  ASN A  44      12.029  20.200  16.912  1.00  4.50           C\nATOM    345  OD1 ASN A  44      13.198  20.204  16.162  1.00  4.85           O\nATOM    346  ND2 ASN A  44      10.952  20.211  16.342  1.00  4.85           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "154.7",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "-156.6",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "-143.6",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "36.4",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FP-QM7X-7001",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7001：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "inputs": [
    {
     "name": "A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nA: Geom-m7001-i1-c1-opt (DFTB3+MBD optimized reference), angstrom\nC -1.73542300 1.96017300 -0.68988500\nC -0.22056000 1.80182100 -0.58889200\nC 0.21380200 0.48333300 -0.01277600\nC 1.12292100 0.26725100 0.99468600\nN 1.36468500 -1.05760300 1.32428700\nC 0.65514200 -1.87411700 0.58503800\nS -0.38472800 -1.06666000 -0.59403000\nH -1.99344400 2.92876900 -1.11325700\nH -2.20344000 1.88426700 0.28906000\nH -2.16479200 1.18848000 -1.32612900\nH 0.19486800 2.60580400 0.02935900\nH 0.21702600 1.93204300 -1.58895300\nH 1.64310100 1.05748000 1.53287400\nH 0.69424000 -2.95783300 0.68248800\n"
    },
    {
     "name": "B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nB: Geom-m7001-i1-c1-d1 (paired displaced structure), angstrom\nC -1.79794800 1.97369700 -0.73122000\nC -0.24432300 1.80815900 -0.68763200\nC 0.19093000 0.57795900 0.07489400\nC 1.13009500 0.22346500 1.02842600\nN 1.42680900 -1.13616000 1.27261200\nC 0.58658200 -1.90450100 0.61617200\nS -0.32730100 -1.03534000 -0.56823700\nH -2.11494100 3.09499700 -0.97484000\nH -2.13960700 1.76354100 0.31138000\nH -2.31233300 1.34681000 -1.38421900\nH 0.19622900 2.74259100 -0.21158300\nH 0.20067100 1.69294400 -1.63988300\nH 1.63195900 0.90098900 1.65515500\nH 0.59514000 -3.09596900 0.62365400\n"
    },
    {
     "name": "forces_B.txt",
     "format": "force-table",
     "unit": "eV/angstrom",
     "text": "row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\n1 C 0.845558 3.203896 1.914728\n2 C -0.545429 0.722251 2.007141\n3 C 0.758028 -2.771126 -0.162324\n4 C -0.658867 -1.203233 -0.838856\n5 N -1.926709 0.689101 -0.034319\n6 C 1.285559 -0.916082 -0.722454\n7 S -0.477220 0.745875 0.651559\n8 H 0.793651 -2.366121 0.425090\n9 H -0.043852 0.240934 -0.831441\n10 H -0.628895 -1.211622 -1.204166\n11 H -0.393234 -1.234859 -0.476948\n12 H 0.298948 0.230404 -1.273990\n13 H 0.682832 0.944775 0.499173\n14 H 0.009628 2.925805 0.046808\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-1.8479",
     "unit": "eV"
    },
    {
     "label": "B",
     "value": "0.7856",
     "unit": "eV"
    },
    {
     "label": "C",
     "value": "0.9240",
     "unit": "eV"
    },
    {
     "label": "D",
     "value": "1.8479",
     "unit": "eV"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FP-QM7X-7002",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(B) + λ[r_i(A) − r_i(B)], which starts at B and moves toward A, what is dE/dλ at λ = 0 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7002：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；路径从 B 指向 A，只问 λ=0（即 B 处）方向导数。",
   "inputs": [
    {
     "name": "A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "11\nA: Geom-m7002-i1-c1-opt (DFTB3+MBD optimized reference), angstrom\nC -0.23339200 2.63289300 1.08014100\nC -0.73324800 1.39091300 0.99582400\nC -0.15839100 0.29499200 0.21314000\nC 1.01029900 0.43179100 -0.55062900\nN 1.38293800 -0.71661600 -1.21063100\nN 0.81693100 -1.75986500 -1.18191100\nS -0.91405700 -1.24833300 0.19884300\nH -0.72329700 3.38688300 1.68396900\nH 0.66721000 2.93245100 0.55610600\nH -1.64154900 1.15621400 1.54775000\nH 1.61185500 1.32960900 -0.65238300\n"
    },
    {
     "name": "B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "11\nB: Geom-m7002-i1-c1-d1 (paired displaced structure), angstrom\nC -0.15567600 2.64108700 1.01037800\nC -0.71968400 1.44261300 1.05355400\nC -0.14998100 0.26792200 0.34289500\nC 0.92323900 0.45796600 -0.52602100\nN 1.33499500 -0.66929300 -1.21970900\nN 0.75529400 -1.73117100 -1.05196300\nS -0.87021200 -1.31952600 0.10734500\nH -0.67485100 3.56030800 1.43832400\nH 0.81566200 2.80695700 0.60112300\nH -1.71864600 1.30755400 1.50910600\nH 1.48182300 1.38331000 -0.64920000\n"
    },
    {
     "name": "forces_B.txt",
     "format": "force-table",
     "unit": "eV/angstrom",
     "text": "row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\n1 C -1.145200 1.521469 1.179678\n2 C -0.934678 -1.024476 -0.271237\n3 C -0.230861 -0.221558 -1.529905\n4 C 0.148376 -1.046538 0.181656\n5 N -0.655786 0.023951 1.329184\n6 N -1.181192 1.156503 0.071924\n7 S 2.260652 1.249441 0.138142\n8 H 0.758576 -1.477713 -0.511748\n9 H 0.411803 0.150022 -0.271185\n10 H 0.738116 0.091801 -0.242589\n11 H -0.169807 -0.422901 -0.073920\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-0.4353",
     "unit": "eV"
    },
    {
     "label": "B",
     "value": "-0.3371",
     "unit": "eV"
    },
    {
     "label": "C",
     "value": "0.7672",
     "unit": "eV"
    },
    {
     "label": "D",
     "value": "2.1519",
     "unit": "eV"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FP-QM7X-7035",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7035：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "inputs": [
    {
     "name": "A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\nA: Geom-m7035-i1-c1-opt (DFTB3+MBD optimized reference), angstrom\nC -1.80380500 0.95659800 0.70098600\nC -0.27789200 0.88323200 0.74227000\nS 0.35994300 -0.52042700 -0.32671600\nO -0.30135200 -0.45887900 -1.62866600\nO 1.81958500 -0.53033600 -0.23860400\nC -0.26589700 -2.01364200 0.56500000\nC 0.37481500 2.18420600 0.26745600\nH -2.25778800 0.05188800 1.10126800\nH -2.15688800 1.09261900 -0.31830400\nH -2.15501100 1.79830000 1.29454000\nH 0.05063900 0.67476700 1.77103500\nH -1.35204700 -2.04264100 0.56739700\nH 0.09505200 -2.03404800 1.58988000\nH 0.10154800 -2.89939100 0.05194800\nH 0.08588200 2.41206200 -0.75599700\nH 1.45886200 2.11131700 0.31020500\nH 0.06147400 3.01330700 0.89936800\n"
    },
    {
     "name": "B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\nB: Geom-m7035-i1-c1-d1 (paired displaced structure), angstrom\nC -1.90054000 1.06162000 0.78367700\nC -0.30543800 0.86055700 0.70556600\nS 0.31013800 -0.52561800 -0.36819700\nO -0.20864000 -0.45819100 -1.74158700\nO 1.76362000 -0.43904600 -0.14047200\nC -0.17690600 -2.03001000 0.58767000\nC 0.43120600 2.04947500 0.21788900\nH -2.36545700 -0.01567000 0.92085400\nH -2.45191700 1.69023800 -0.14739600\nH -1.99090600 1.73472300 1.86021400\nH 0.04760300 0.59718600 1.73019300\nH -1.25553000 -2.12983700 0.68653100\nH 0.29382900 -1.91266500 1.67474000\nH 0.20196500 -2.88669500 0.17169600\nH -0.21862200 2.15890300 -0.74993200\nH 1.53028900 1.75514600 0.03655800\nH 0.51675400 2.94660400 0.99535300\n"
    },
    {
     "name": "forces_B.txt",
     "format": "force-table",
     "unit": "eV/angstrom",
     "text": "row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\n1 C -0.070373 0.737622 1.132172\n2 C -1.673942 -0.656673 1.131149\n3 S 1.427460 0.019682 0.365580\n4 O 0.379745 -0.336460 2.258161\n5 O -1.690670 -0.514446 -0.727288\n6 C -0.220627 2.814921 2.870737\n7 C 0.691847 1.292465 -0.806749\n8 H 0.497417 2.467329 -0.184914\n9 H 1.828866 -1.901192 2.592607\n10 H -0.272899 -1.984731 -3.205961\n11 H -0.322017 -0.338699 -0.704442\n12 H -0.071582 0.193863 -0.115941\n13 H -0.964853 -0.034089 -2.459233\n14 H 1.142997 -1.893179 -1.371918\n15 H 1.997691 1.322459 1.310506\n16 H -1.790199 0.580172 -0.174267\n17 H -0.888862 -1.769044 -1.910201\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.7660",
     "unit": "eV"
    },
    {
     "label": "B",
     "value": "5.5319",
     "unit": "eV"
    },
    {
     "label": "C",
     "value": "6.0387",
     "unit": "eV"
    },
    {
     "label": "D",
     "value": "11.4318",
     "unit": "eV"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-NACL",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (Cl = 17, Na = 11). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规立方晶胞 8 个原子（对称展开）；零角度原子序数权重。",
   "inputs": [
    {
     "name": "FA-EXT-NACL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(2 0 0)"
    },
    {
     "label": "B",
     "value": "(1 1 1)"
    },
    {
     "label": "C",
     "value": "(3 1 0)"
    },
    {
     "label": "D",
     "value": "(2 2 0)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-DIAMOND",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of diamond (C, COD 9008564) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (C = 6). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规立方晶胞 8 个原子（对称展开）；同种原子。",
   "inputs": [
    {
     "name": "FA-EXT-DIAMOND-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "diamond (C, COD 9008564); cubic a = 3.56679 angstrom; 8 atoms; element x y z (fractional)\nC 0.00000000 0.00000000 0.00000000\nC 0.00000000 0.50000000 0.50000000\nC 0.25000000 0.25000000 0.25000000\nC 0.25000000 0.75000000 0.75000000\nC 0.50000000 0.00000000 0.50000000\nC 0.50000000 0.50000000 0.00000000\nC 0.75000000 0.25000000 0.75000000\nC 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(3 1 1)"
    },
    {
     "label": "B",
     "value": "(1 1 1)"
    },
    {
     "label": "C",
     "value": "(2 2 0)"
    },
    {
     "label": "D",
     "value": "(2 2 2)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-SALEM2",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, Zn = 30). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "一个常规立方晶胞 204 个原子；只用主占位连接体位点；零角度原子序数权重。",
   "inputs": [
    {
     "name": "FA-EXT-SALEM2-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites); cubic a = 16.83030 angstrom; 204 atoms; element x y z (fractional)\nZn 0.00000000 0.25000000 0.50000000\nZn 0.00000000 0.50000000 0.25000000\nZn 0.00000000 0.50000000 0.75000000\nZn 0.00000000 0.75000000 0.50000000\nZn 0.25000000 0.00000000 0.50000000\nZn 0.25000000 0.50000000 0.00000000\nZn 0.50000000 0.00000000 0.25000000\nZn 0.50000000 0.00000000 0.75000000\nZn 0.50000000 0.25000000 0.00000000\nZn 0.50000000 0.75000000 0.00000000\nZn 0.75000000 0.00000000 0.50000000\nZn 0.75000000 0.50000000 0.00000000\nN 0.03668000 0.31705000 0.41076000\nN 0.03668000 0.41076000 0.31705000\nN 0.03668000 0.58924000 0.68295000\nN 0.03668000 0.68295000 0.58924000\nN 0.08924000 0.18295000 0.53668000\nN 0.08924000 0.46332000 0.81705000\nN 0.08924000 0.53668000 0.18295000\nN 0.08924000 0.81705000 0.46332000\nN 0.18295000 0.08924000 0.53668000\nN 0.18295000 0.46332000 0.91076000\nN 0.18295000 0.53668000 0.08924000\nN 0.18295000 0.91076000 0.46332000\nN 0.31705000 0.03668000 0.41076000\nN 0.31705000 0.41076000 0.03668000\nN 0.31705000 0.58924000 0.96332000\nN 0.31705000 0.96332000 0.58924000\nN 0.41076000 0.03668000 0.31705000\nN 0.41076000 0.31705000 0.03668000\nN 0.41076000 0.68295000 0.96332000\nN 0.41076000 0.96332000 0.68295000\nN 0.46332000 0.08924000 0.81705000\nN 0.46332000 0.18295000 0.91076000\nN 0.46332000 0.81705000 0.08924000\nN 0.46332000 0.91076000 0.18295000\nN 0.53668000 0.08924000 0.18295000\nN 0.53668000 0.18295000 0.08924000\nN 0.53668000 0.81705000 0.91076000\nN 0.53668000 0.91076000 0.81705000\nN 0.58924000 0.03668000 0.68295000\nN 0.58924000 0.31705000 0.96332000\nN 0.58924000 0.68295000 0.03668000\nN 0.58924000 0.96332000 0.31705000\nN 0.68295000 0.03668000 0.58924000\nN 0.68295000 0.41076000 0.96332000\nN 0.68295000 0.58924000 0.03668000\nN 0.68295000 0.96332000 0.41076000\nN 0.81705000 0.08924000 0.46332000\nN 0.81705000 0.46332000 0.08924000\nN 0.81705000 0.53668000 0.91076000\nN 0.81705000 0.91076000 0.53668000\nN 0.91076000 0.18295000 0.46332000\nN 0.91076000 0.46332000 0.18295000\nN 0.91076000 0.53668000 0.81705000\nN 0.91076000 0.81705000 0.53668000\nN 0.96332000 0.31705000 0.58924000\nN 0.96332000 0.41076000 0.68295000\nN 0.96332000 0.58924000 0.31705000\nN 0.96332000 0.68295000 0.41076000\nC 0.00390000 0.37937000 0.37937000\nC 0.00390000 0.62063000 0.62063000\nC 0.12063000 0.12063000 0.50390000\nC 0.12063000 0.49610000 0.87937000\nC 0.12063000 0.50390000 0.12063000\nC 0.12063000 0.87937000 0.49610000\nC 0.37937000 0.00390000 0.37937000\nC 0.37937000 0.37937000 0.00390000\nC 0.37937000 0.62063000 0.99610000\nC 0.37937000 0.99610000 0.62063000\nC 0.49610000 0.12063000 0.87937000\nC 0.49610000 0.87937000 0.12063000\nC 0.50390000 0.12063000 0.12063000\nC 0.50390000 0.87937000 0.87937000\nC 0.62063000 0.00390000 0.62063000\nC 0.62063000 0.37937000 0.99610000\nC 0.62063000 0.62063000 0.00390000\nC 0.62063000 0.99610000 0.37937000\nC 0.87937000 0.12063000 0.49610000\nC 0.87937000 0.49610000 0.12063000\nC 0.87937000 0.50390000 0.87937000\nC 0.87937000 0.87937000 0.50390000\nC 0.99610000 0.37937000 0.62063000\nC 0.99610000 0.62063000 0.37937000\nH 0.04310000 0.40150000 0.59850000\nH 0.04310000 0.59850000 0.40150000\nH 0.09850000 0.09850000 0.45690000\nH 0.09850000 0.45690000 0.09850000\nH 0.09850000 0.54310000 0.90150000\nH 0.09850000 0.90150000 0.54310000\nH 0.40150000 0.04310000 0.59850000\nH 0.40150000 0.40150000 0.95690000\nH 0.40150000 0.59850000 0.04310000\nH 0.40150000 0.95690000 0.40150000\nH 0.45690000 0.09850000 0.09850000\nH 0.45690000 0.90150000 0.90150000\nH 0.54310000 0.09850000 0.90150000\nH 0.54310000 0.90150000 0.09850000\nH 0.59850000 0.04310000 0.40150000\nH 0.59850000 0.40150000 0.04310000\nH 0.59850000 0.59850000 0.95690000\nH 0.59850000 0.95690000 0.59850000\nH 0.90150000 0.09850000 0.54310000\nH 0.90150000 0.45690000 0.90150000\nH 0.90150000 0.54310000 0.09850000\nH 0.90150000 0.90150000 0.45690000\nH 0.95690000 0.40150000 0.40150000\nH 0.95690000 0.59850000 0.59850000\nC 0.10830000 0.31750000 0.37370000\nC 0.10830000 0.37370000 0.31750000\nC 0.10830000 0.62630000 0.68250000\nC 0.10830000 0.68250000 0.62630000\nC 0.12630000 0.18250000 0.60830000\nC 0.12630000 0.39170000 0.81750000\nC 0.12630000 0.60830000 0.18250000\nC 0.12630000 0.81750000 0.39170000\nC 0.18250000 0.12630000 0.60830000\nC 0.18250000 0.39170000 0.87370000\nC 0.18250000 0.60830000 0.12630000\nC 0.18250000 0.87370000 0.39170000\nC 0.31750000 0.10830000 0.37370000\nC 0.31750000 0.37370000 0.10830000\nC 0.31750000 0.62630000 0.89170000\nC 0.31750000 0.89170000 0.62630000\nC 0.37370000 0.10830000 0.31750000\nC 0.37370000 0.31750000 0.10830000\nC 0.37370000 0.68250000 0.89170000\nC 0.37370000 0.89170000 0.68250000\nC 0.39170000 0.12630000 0.81750000\nC 0.39170000 0.18250000 0.87370000\nC 0.39170000 0.81750000 0.12630000\nC 0.39170000 0.87370000 0.18250000\nC 0.60830000 0.12630000 0.18250000\nC 0.60830000 0.18250000 0.12630000\nC 0.60830000 0.81750000 0.87370000\nC 0.60830000 0.87370000 0.81750000\nC 0.62630000 0.10830000 0.68250000\nC 0.62630000 0.31750000 0.89170000\nC 0.62630000 0.68250000 0.10830000\nC 0.62630000 0.89170000 0.31750000\nC 0.68250000 0.10830000 0.62630000\nC 0.68250000 0.37370000 0.89170000\nC 0.68250000 0.62630000 0.10830000\nC 0.68250000 0.89170000 0.37370000\nC 0.81750000 0.12630000 0.39170000\nC 0.81750000 0.39170000 0.12630000\nC 0.81750000 0.60830000 0.87370000\nC 0.81750000 0.87370000 0.60830000\nC 0.87370000 0.18250000 0.39170000\nC 0.87370000 0.39170000 0.18250000\nC 0.87370000 0.60830000 0.81750000\nC 0.87370000 0.81750000 0.60830000\nC 0.89170000 0.31750000 0.62630000\nC 0.89170000 0.37370000 0.68250000\nC 0.89170000 0.62630000 0.31750000\nC 0.89170000 0.68250000 0.37370000\nH 0.11430000 0.21670000 0.65160000\nH 0.11430000 0.34840000 0.78330000\nH 0.11430000 0.65160000 0.21670000\nH 0.11430000 0.78330000 0.34840000\nH 0.15160000 0.28330000 0.38570000\nH 0.15160000 0.38570000 0.28330000\nH 0.15160000 0.61430000 0.71670000\nH 0.15160000 0.71670000 0.61430000\nH 0.21670000 0.11430000 0.65160000\nH 0.21670000 0.34840000 0.88570000\nH 0.21670000 0.65160000 0.11430000\nH 0.21670000 0.88570000 0.34840000\nH 0.28330000 0.15160000 0.38570000\nH 0.28330000 0.38570000 0.15160000\nH 0.28330000 0.61430000 0.84840000\nH 0.28330000 0.84840000 0.61430000\nH 0.34840000 0.11430000 0.78330000\nH 0.34840000 0.21670000 0.88570000\nH 0.34840000 0.78330000 0.11430000\nH 0.34840000 0.88570000 0.21670000\nH 0.38570000 0.15160000 0.28330000\nH 0.38570000 0.28330000 0.15160000\nH 0.38570000 0.71670000 0.84840000\nH 0.38570000 0.84840000 0.71670000\nH 0.61430000 0.15160000 0.71670000\nH 0.61430000 0.28330000 0.84840000\nH 0.61430000 0.71670000 0.15160000\nH 0.61430000 0.84840000 0.28330000\nH 0.65160000 0.11430000 0.21670000\nH 0.65160000 0.21670000 0.11430000\nH 0.65160000 0.78330000 0.88570000\nH 0.65160000 0.88570000 0.78330000\nH 0.71670000 0.15160000 0.61430000\nH 0.71670000 0.38570000 0.84840000\nH 0.71670000 0.61430000 0.15160000\nH 0.71670000 0.84840000 0.38570000\nH 0.78330000 0.11430000 0.34840000\nH 0.78330000 0.34840000 0.11430000\nH 0.78330000 0.65160000 0.88570000\nH 0.78330000 0.88570000 0.65160000\nH 0.84840000 0.28330000 0.61430000\nH 0.84840000 0.38570000 0.71670000\nH 0.84840000 0.61430000 0.28330000\nH 0.84840000 0.71670000 0.38570000\nH 0.88570000 0.21670000 0.34840000\nH 0.88570000 0.34840000 0.21670000\nH 0.88570000 0.65160000 0.78330000\nH 0.88570000 0.78330000 0.65160000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(1 1 1)"
    },
    {
     "label": "B",
     "value": "(2 2 0)"
    },
    {
     "label": "C",
     "value": "(2 0 0)"
    },
    {
     "label": "D",
     "value": "(1 1 0)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-MOF5",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (C = 6, H = 1, O = 8, Zn = 30). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "一个常规立方晶胞 424 个原子；零角度原子序数权重。",
   "inputs": [
    {
     "name": "FA-EXT-MOF5-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "MOF-5 (Zn4O(BDC)3, COD 1516287); cubic a = 25.82470 angstrom; 424 atoms; element x y z (fractional)\nZn 0.20647400 0.20647400 0.29352600\nZn 0.20647400 0.20647400 0.70647400\nZn 0.20647400 0.29352600 0.20647400\nZn 0.20647400 0.29352600 0.79352600\nZn 0.20647400 0.70647400 0.20647400\nZn 0.20647400 0.70647400 0.79352600\nZn 0.20647400 0.79352600 0.29352600\nZn 0.20647400 0.79352600 0.70647400\nZn 0.29352600 0.20647400 0.20647400\nZn 0.29352600 0.20647400 0.79352600\nZn 0.29352600 0.29352600 0.29352600\nZn 0.29352600 0.29352600 0.70647400\nZn 0.29352600 0.70647400 0.29352600\nZn 0.29352600 0.70647400 0.70647400\nZn 0.29352600 0.79352600 0.20647400\nZn 0.29352600 0.79352600 0.79352600\nZn 0.70647400 0.20647400 0.20647400\nZn 0.70647400 0.20647400 0.79352600\nZn 0.70647400 0.29352600 0.29352600\nZn 0.70647400 0.29352600 0.70647400\nZn 0.70647400 0.70647400 0.29352600\nZn 0.70647400 0.70647400 0.70647400\nZn 0.70647400 0.79352600 0.20647400\nZn 0.70647400 0.79352600 0.79352600\nZn 0.79352600 0.20647400 0.29352600\nZn 0.79352600 0.20647400 0.70647400\nZn 0.79352600 0.29352600 0.20647400\nZn 0.79352600 0.29352600 0.79352600\nZn 0.79352600 0.70647400 0.20647400\nZn 0.79352600 0.70647400 0.79352600\nZn 0.79352600 0.79352600 0.29352600\nZn 0.79352600 0.79352600 0.70647400\nO 0.25000000 0.25000000 0.25000000\nO 0.25000000 0.25000000 0.75000000\nO 0.25000000 0.75000000 0.25000000\nO 0.25000000 0.75000000 0.75000000\nO 0.75000000 0.25000000 0.25000000\nO 0.75000000 0.25000000 0.75000000\nO 0.75000000 0.75000000 0.25000000\nO 0.75000000 0.75000000 0.75000000\nO 0.13385000 0.21951000 0.28049000\nO 0.13385000 0.21951000 0.71951000\nO 0.13385000 0.28049000 0.21951000\nO 0.13385000 0.28049000 0.78049000\nO 0.13385000 0.71951000 0.21951000\nO 0.13385000 0.71951000 0.78049000\nO 0.13385000 0.78049000 0.28049000\nO 0.13385000 0.78049000 0.71951000\nO 0.21951000 0.13385000 0.28049000\nO 0.21951000 0.13385000 0.71951000\nO 0.21951000 0.21951000 0.36615000\nO 0.21951000 0.21951000 0.63385000\nO 0.21951000 0.28049000 0.13385000\nO 0.21951000 0.28049000 0.86615000\nO 0.21951000 0.36615000 0.21951000\nO 0.21951000 0.36615000 0.78049000\nO 0.21951000 0.63385000 0.21951000\nO 0.21951000 0.63385000 0.78049000\nO 0.21951000 0.71951000 0.13385000\nO 0.21951000 0.71951000 0.86615000\nO 0.21951000 0.78049000 0.36615000\nO 0.21951000 0.78049000 0.63385000\nO 0.21951000 0.86615000 0.28049000\nO 0.21951000 0.86615000 0.71951000\nO 0.28049000 0.13385000 0.21951000\nO 0.28049000 0.13385000 0.78049000\nO 0.28049000 0.21951000 0.13385000\nO 0.28049000 0.21951000 0.86615000\nO 0.28049000 0.28049000 0.36615000\nO 0.28049000 0.28049000 0.63385000\nO 0.28049000 0.36615000 0.28049000\nO 0.28049000 0.36615000 0.71951000\nO 0.28049000 0.63385000 0.28049000\nO 0.28049000 0.63385000 0.71951000\nO 0.28049000 0.71951000 0.36615000\nO 0.28049000 0.71951000 0.63385000\nO 0.28049000 0.78049000 0.13385000\nO 0.28049000 0.78049000 0.86615000\nO 0.28049000 0.86615000 0.21951000\nO 0.28049000 0.86615000 0.78049000\nO 0.36615000 0.21951000 0.21951000\nO 0.36615000 0.21951000 0.78049000\nO 0.36615000 0.28049000 0.28049000\nO 0.36615000 0.28049000 0.71951000\nO 0.36615000 0.71951000 0.28049000\nO 0.36615000 0.71951000 0.71951000\nO 0.36615000 0.78049000 0.21951000\nO 0.36615000 0.78049000 0.78049000\nO 0.63385000 0.21951000 0.21951000\nO 0.63385000 0.21951000 0.78049000\nO 0.63385000 0.28049000 0.28049000\nO 0.63385000 0.28049000 0.71951000\nO 0.63385000 0.71951000 0.28049000\nO 0.63385000 0.71951000 0.71951000\nO 0.63385000 0.78049000 0.21951000\nO 0.63385000 0.78049000 0.78049000\nO 0.71951000 0.13385000 0.21951000\nO 0.71951000 0.13385000 0.78049000\nO 0.71951000 0.21951000 0.13385000\nO 0.71951000 0.21951000 0.86615000\nO 0.71951000 0.28049000 0.36615000\nO 0.71951000 0.28049000 0.63385000\nO 0.71951000 0.36615000 0.28049000\nO 0.71951000 0.36615000 0.71951000\nO 0.71951000 0.63385000 0.28049000\nO 0.71951000 0.63385000 0.71951000\nO 0.71951000 0.71951000 0.36615000\nO 0.71951000 0.71951000 0.63385000\nO 0.71951000 0.78049000 0.13385000\nO 0.71951000 0.78049000 0.86615000\nO 0.71951000 0.86615000 0.21951000\nO 0.71951000 0.86615000 0.78049000\nO 0.78049000 0.13385000 0.28049000\nO 0.78049000 0.13385000 0.71951000\nO 0.78049000 0.21951000 0.36615000\nO 0.78049000 0.21951000 0.63385000\nO 0.78049000 0.28049000 0.13385000\nO 0.78049000 0.28049000 0.86615000\nO 0.78049000 0.36615000 0.21951000\nO 0.78049000 0.36615000 0.78049000\nO 0.78049000 0.63385000 0.21951000\nO 0.78049000 0.63385000 0.78049000\nO 0.78049000 0.71951000 0.13385000\nO 0.78049000 0.71951000 0.86615000\nO 0.78049000 0.78049000 0.36615000\nO 0.78049000 0.78049000 0.63385000\nO 0.78049000 0.86615000 0.28049000\nO 0.78049000 0.86615000 0.71951000\nO 0.86615000 0.21951000 0.28049000\nO 0.86615000 0.21951000 0.71951000\nO 0.86615000 0.28049000 0.21951000\nO 0.86615000 0.28049000 0.78049000\nO 0.86615000 0.71951000 0.21951000\nO 0.86615000 0.71951000 0.78049000\nO 0.86615000 0.78049000 0.28049000\nO 0.86615000 0.78049000 0.71951000\nC 0.11148000 0.25000000 0.25000000\nC 0.11148000 0.25000000 0.75000000\nC 0.11148000 0.75000000 0.25000000\nC 0.11148000 0.75000000 0.75000000\nC 0.25000000 0.11148000 0.25000000\nC 0.25000000 0.11148000 0.75000000\nC 0.25000000 0.25000000 0.11148000\nC 0.25000000 0.25000000 0.38852000\nC 0.25000000 0.25000000 0.61148000\nC 0.25000000 0.25000000 0.88852000\nC 0.25000000 0.38852000 0.25000000\nC 0.25000000 0.38852000 0.75000000\nC 0.25000000 0.61148000 0.25000000\nC 0.25000000 0.61148000 0.75000000\nC 0.25000000 0.75000000 0.11148000\nC 0.25000000 0.75000000 0.38852000\nC 0.25000000 0.75000000 0.61148000\nC 0.25000000 0.75000000 0.88852000\nC 0.25000000 0.88852000 0.25000000\nC 0.25000000 0.88852000 0.75000000\nC 0.38852000 0.25000000 0.25000000\nC 0.38852000 0.25000000 0.75000000\nC 0.38852000 0.75000000 0.25000000\nC 0.38852000 0.75000000 0.75000000\nC 0.61148000 0.25000000 0.25000000\nC 0.61148000 0.25000000 0.75000000\nC 0.61148000 0.75000000 0.25000000\nC 0.61148000 0.75000000 0.75000000\nC 0.75000000 0.11148000 0.25000000\nC 0.75000000 0.11148000 0.75000000\nC 0.75000000 0.25000000 0.11148000\nC 0.75000000 0.25000000 0.38852000\nC 0.75000000 0.25000000 0.61148000\nC 0.75000000 0.25000000 0.88852000\nC 0.75000000 0.38852000 0.25000000\nC 0.75000000 0.38852000 0.75000000\nC 0.75000000 0.61148000 0.25000000\nC 0.75000000 0.61148000 0.75000000\nC 0.75000000 0.75000000 0.11148000\nC 0.75000000 0.75000000 0.38852000\nC 0.75000000 0.75000000 0.61148000\nC 0.75000000 0.75000000 0.88852000\nC 0.75000000 0.88852000 0.25000000\nC 0.75000000 0.88852000 0.75000000\nC 0.88852000 0.25000000 0.25000000\nC 0.88852000 0.25000000 0.75000000\nC 0.88852000 0.75000000 0.25000000\nC 0.88852000 0.75000000 0.75000000\nC 0.05365000 0.25000000 0.25000000\nC 0.05365000 0.25000000 0.75000000\nC 0.05365000 0.75000000 0.25000000\nC 0.05365000 0.75000000 0.75000000\nC 0.25000000 0.05365000 0.25000000\nC 0.25000000 0.05365000 0.75000000\nC 0.25000000 0.25000000 0.05365000\nC 0.25000000 0.25000000 0.44635000\nC 0.25000000 0.25000000 0.55365000\nC 0.25000000 0.25000000 0.94635000\nC 0.25000000 0.44635000 0.25000000\nC 0.25000000 0.44635000 0.75000000\nC 0.25000000 0.55365000 0.25000000\nC 0.25000000 0.55365000 0.75000000\nC 0.25000000 0.75000000 0.05365000\nC 0.25000000 0.75000000 0.44635000\nC 0.25000000 0.75000000 0.55365000\nC 0.25000000 0.75000000 0.94635000\nC 0.25000000 0.94635000 0.25000000\nC 0.25000000 0.94635000 0.75000000\nC 0.44635000 0.25000000 0.25000000\nC 0.44635000 0.25000000 0.75000000\nC 0.44635000 0.75000000 0.25000000\nC 0.44635000 0.75000000 0.75000000\nC 0.55365000 0.25000000 0.25000000\nC 0.55365000 0.25000000 0.75000000\nC 0.55365000 0.75000000 0.25000000\nC 0.55365000 0.75000000 0.75000000\nC 0.75000000 0.05365000 0.25000000\nC 0.75000000 0.05365000 0.75000000\nC 0.75000000 0.25000000 0.05365000\nC 0.75000000 0.25000000 0.44635000\nC 0.75000000 0.25000000 0.55365000\nC 0.75000000 0.25000000 0.94635000\nC 0.75000000 0.44635000 0.25000000\nC 0.75000000 0.44635000 0.75000000\nC 0.75000000 0.55365000 0.25000000\nC 0.75000000 0.55365000 0.75000000\nC 0.75000000 0.75000000 0.05365000\nC 0.75000000 0.75000000 0.44635000\nC 0.75000000 0.75000000 0.55365000\nC 0.75000000 0.75000000 0.94635000\nC 0.75000000 0.94635000 0.25000000\nC 0.75000000 0.94635000 0.75000000\nC 0.94635000 0.25000000 0.25000000\nC 0.94635000 0.25000000 0.75000000\nC 0.94635000 0.75000000 0.25000000\nC 0.94635000 0.75000000 0.75000000\nC 0.02653000 0.21787000 0.28213000\nC 0.02653000 0.21787000 0.71787000\nC 0.02653000 0.28213000 0.21787000\nC 0.02653000 0.28213000 0.78213000\nC 0.02653000 0.71787000 0.21787000\nC 0.02653000 0.71787000 0.78213000\nC 0.02653000 0.78213000 0.28213000\nC 0.02653000 0.78213000 0.71787000\nC 0.21787000 0.02653000 0.28213000\nC 0.21787000 0.02653000 0.71787000\nC 0.21787000 0.21787000 0.47347000\nC 0.21787000 0.21787000 0.52653000\nC 0.21787000 0.28213000 0.02653000\nC 0.21787000 0.28213000 0.97347000\nC 0.21787000 0.47347000 0.21787000\nC 0.21787000 0.47347000 0.78213000\nC 0.21787000 0.52653000 0.21787000\nC 0.21787000 0.52653000 0.78213000\nC 0.21787000 0.71787000 0.02653000\nC 0.21787000 0.71787000 0.97347000\nC 0.21787000 0.78213000 0.47347000\nC 0.21787000 0.78213000 0.52653000\nC 0.21787000 0.97347000 0.28213000\nC 0.21787000 0.97347000 0.71787000\nC 0.28213000 0.02653000 0.21787000\nC 0.28213000 0.02653000 0.78213000\nC 0.28213000 0.21787000 0.02653000\nC 0.28213000 0.21787000 0.97347000\nC 0.28213000 0.28213000 0.47347000\nC 0.28213000 0.28213000 0.52653000\nC 0.28213000 0.47347000 0.28213000\nC 0.28213000 0.47347000 0.71787000\nC 0.28213000 0.52653000 0.28213000\nC 0.28213000 0.52653000 0.71787000\nC 0.28213000 0.71787000 0.47347000\nC 0.28213000 0.71787000 0.52653000\nC 0.28213000 0.78213000 0.02653000\nC 0.28213000 0.78213000 0.97347000\nC 0.28213000 0.97347000 0.21787000\nC 0.28213000 0.97347000 0.78213000\nC 0.47347000 0.21787000 0.21787000\nC 0.47347000 0.21787000 0.78213000\nC 0.47347000 0.28213000 0.28213000\nC 0.47347000 0.28213000 0.71787000\nC 0.47347000 0.71787000 0.28213000\nC 0.47347000 0.71787000 0.71787000\nC 0.47347000 0.78213000 0.21787000\nC 0.47347000 0.78213000 0.78213000\nC 0.52653000 0.21787000 0.21787000\nC 0.52653000 0.21787000 0.78213000\nC 0.52653000 0.28213000 0.28213000\nC 0.52653000 0.28213000 0.71787000\nC 0.52653000 0.71787000 0.28213000\nC 0.52653000 0.71787000 0.71787000\nC 0.52653000 0.78213000 0.21787000\nC 0.52653000 0.78213000 0.78213000\nC 0.71787000 0.02653000 0.21787000\nC 0.71787000 0.02653000 0.78213000\nC 0.71787000 0.21787000 0.02653000\nC 0.71787000 0.21787000 0.97347000\nC 0.71787000 0.28213000 0.47347000\nC 0.71787000 0.28213000 0.52653000\nC 0.71787000 0.47347000 0.28213000\nC 0.71787000 0.47347000 0.71787000\nC 0.71787000 0.52653000 0.28213000\nC 0.71787000 0.52653000 0.71787000\nC 0.71787000 0.71787000 0.47347000\nC 0.71787000 0.71787000 0.52653000\nC 0.71787000 0.78213000 0.02653000\nC 0.71787000 0.78213000 0.97347000\nC 0.71787000 0.97347000 0.21787000\nC 0.71787000 0.97347000 0.78213000\nC 0.78213000 0.02653000 0.28213000\nC 0.78213000 0.02653000 0.71787000\nC 0.78213000 0.21787000 0.47347000\nC 0.78213000 0.21787000 0.52653000\nC 0.78213000 0.28213000 0.02653000\nC 0.78213000 0.28213000 0.97347000\nC 0.78213000 0.47347000 0.21787000\nC 0.78213000 0.47347000 0.78213000\nC 0.78213000 0.52653000 0.21787000\nC 0.78213000 0.52653000 0.78213000\nC 0.78213000 0.71787000 0.02653000\nC 0.78213000 0.71787000 0.97347000\nC 0.78213000 0.78213000 0.47347000\nC 0.78213000 0.78213000 0.52653000\nC 0.78213000 0.97347000 0.28213000\nC 0.78213000 0.97347000 0.71787000\nC 0.97347000 0.21787000 0.28213000\nC 0.97347000 0.21787000 0.71787000\nC 0.97347000 0.28213000 0.21787000\nC 0.97347000 0.28213000 0.78213000\nC 0.97347000 0.71787000 0.21787000\nC 0.97347000 0.71787000 0.78213000\nC 0.97347000 0.78213000 0.28213000\nC 0.97347000 0.78213000 0.71787000\nH 0.04430000 0.19570000 0.30430000\nH 0.04430000 0.19570000 0.69570000\nH 0.04430000 0.30430000 0.19570000\nH 0.04430000 0.30430000 0.80430000\nH 0.04430000 0.69570000 0.19570000\nH 0.04430000 0.69570000 0.80430000\nH 0.04430000 0.80430000 0.30430000\nH 0.04430000 0.80430000 0.69570000\nH 0.19570000 0.04430000 0.30430000\nH 0.19570000 0.04430000 0.69570000\nH 0.19570000 0.19570000 0.45570000\nH 0.19570000 0.19570000 0.54430000\nH 0.19570000 0.30430000 0.04430000\nH 0.19570000 0.30430000 0.95570000\nH 0.19570000 0.45570000 0.19570000\nH 0.19570000 0.45570000 0.80430000\nH 0.19570000 0.54430000 0.19570000\nH 0.19570000 0.54430000 0.80430000\nH 0.19570000 0.69570000 0.04430000\nH 0.19570000 0.69570000 0.95570000\nH 0.19570000 0.80430000 0.45570000\nH 0.19570000 0.80430000 0.54430000\nH 0.19570000 0.95570000 0.30430000\nH 0.19570000 0.95570000 0.69570000\nH 0.30430000 0.04430000 0.19570000\nH 0.30430000 0.04430000 0.80430000\nH 0.30430000 0.19570000 0.04430000\nH 0.30430000 0.19570000 0.95570000\nH 0.30430000 0.30430000 0.45570000\nH 0.30430000 0.30430000 0.54430000\nH 0.30430000 0.45570000 0.30430000\nH 0.30430000 0.45570000 0.69570000\nH 0.30430000 0.54430000 0.30430000\nH 0.30430000 0.54430000 0.69570000\nH 0.30430000 0.69570000 0.45570000\nH 0.30430000 0.69570000 0.54430000\nH 0.30430000 0.80430000 0.04430000\nH 0.30430000 0.80430000 0.95570000\nH 0.30430000 0.95570000 0.19570000\nH 0.30430000 0.95570000 0.80430000\nH 0.45570000 0.19570000 0.19570000\nH 0.45570000 0.19570000 0.80430000\nH 0.45570000 0.30430000 0.30430000\nH 0.45570000 0.30430000 0.69570000\nH 0.45570000 0.69570000 0.30430000\nH 0.45570000 0.69570000 0.69570000\nH 0.45570000 0.80430000 0.19570000\nH 0.45570000 0.80430000 0.80430000\nH 0.54430000 0.19570000 0.19570000\nH 0.54430000 0.19570000 0.80430000\nH 0.54430000 0.30430000 0.30430000\nH 0.54430000 0.30430000 0.69570000\nH 0.54430000 0.69570000 0.30430000\nH 0.54430000 0.69570000 0.69570000\nH 0.54430000 0.80430000 0.19570000\nH 0.54430000 0.80430000 0.80430000\nH 0.69570000 0.04430000 0.19570000\nH 0.69570000 0.04430000 0.80430000\nH 0.69570000 0.19570000 0.04430000\nH 0.69570000 0.19570000 0.95570000\nH 0.69570000 0.30430000 0.45570000\nH 0.69570000 0.30430000 0.54430000\nH 0.69570000 0.45570000 0.30430000\nH 0.69570000 0.45570000 0.69570000\nH 0.69570000 0.54430000 0.30430000\nH 0.69570000 0.54430000 0.69570000\nH 0.69570000 0.69570000 0.45570000\nH 0.69570000 0.69570000 0.54430000\nH 0.69570000 0.80430000 0.04430000\nH 0.69570000 0.80430000 0.95570000\nH 0.69570000 0.95570000 0.19570000\nH 0.69570000 0.95570000 0.80430000\nH 0.80430000 0.04430000 0.30430000\nH 0.80430000 0.04430000 0.69570000\nH 0.80430000 0.19570000 0.45570000\nH 0.80430000 0.19570000 0.54430000\nH 0.80430000 0.30430000 0.04430000\nH 0.80430000 0.30430000 0.95570000\nH 0.80430000 0.45570000 0.19570000\nH 0.80430000 0.45570000 0.80430000\nH 0.80430000 0.54430000 0.19570000\nH 0.80430000 0.54430000 0.80430000\nH 0.80430000 0.69570000 0.04430000\nH 0.80430000 0.69570000 0.95570000\nH 0.80430000 0.80430000 0.45570000\nH 0.80430000 0.80430000 0.54430000\nH 0.80430000 0.95570000 0.30430000\nH 0.80430000 0.95570000 0.69570000\nH 0.95570000 0.19570000 0.30430000\nH 0.95570000 0.19570000 0.69570000\nH 0.95570000 0.30430000 0.19570000\nH 0.95570000 0.30430000 0.80430000\nH 0.95570000 0.69570000 0.19570000\nH 0.95570000 0.69570000 0.80430000\nH 0.95570000 0.80430000 0.30430000\nH 0.95570000 0.80430000 0.69570000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(2 2 0)"
    },
    {
     "label": "B",
     "value": "(1 1 0)"
    },
    {
     "label": "C",
     "value": "(2 0 0)"
    },
    {
     "label": "D",
     "value": "(3 3 1)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CONF-7050-max_dipole",
   "family": "conformer_target_selection",
   "ability": "design",
   "question": "S0 is a conformer of a neutral C3H9NO2S molecule. You may change it only by rotating about single bonds: the same atoms in the same order, the same bonds and the same configuration at every stereocentre. Goal: obtain the largest total dipole-moment magnitude (PBE0+MBD, at the supplied geometries). All four candidates A–D satisfy the allowed modification. Which candidate best meets the goal?",
   "scope": "QM7-X 分子 7050 同一立体异构体（i1）的 DFTB3+MBD 优化构象；只允许单键旋转；性质为数据集 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\nS0 starting conformer, angstrom\nC -3.15524800 0.41545500 -0.70587900\nC -1.63664900 0.51915200 -0.78761500\nN -1.02441300 -0.15541200 0.36991600\nS 0.98816800 -0.30045000 0.15394600\nO 1.37830400 -1.53866700 0.80253700\nO 1.32789500 -0.01287200 -1.22925800\nC 1.41856900 1.12523200 1.20678200\nH -3.61802500 0.93400000 -1.54264700\nH -3.52664400 0.85749900 0.21570800\nH -3.47736000 -0.62397400 -0.73167300\nH -1.33484500 1.57723200 -0.78674400\nH -1.28523500 0.09013700 -1.74428100\nH -1.35202600 -1.12910000 0.41495100\nH 1.08498600 0.95844100 2.22743900\nH 0.95982800 2.03318700 0.82427600\nH 2.49989700 1.25094400 1.20446800\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\ncandidate A, angstrom\nC -1.67074500 1.44011700 -1.51618900\nC -1.92749900 0.74801200 -0.17854100\nN -1.22280200 -0.53894300 -0.02807400\nS 0.77898800 -0.24945400 0.21808300\nO 1.45484800 -0.69227600 -0.99126200\nO 0.96042900 1.08317900 0.76116600\nC 0.99710000 -1.49605000 1.53265600\nH -2.24541900 2.36101900 -1.58897600\nH -1.95541400 0.79935300 -2.34883800\nH -0.61830100 1.69059800 -1.63212200\nH -3.00567800 0.54817500 -0.06294200\nH -1.64216700 1.40566000 0.65237600\nH -1.30431600 -1.07775200 -0.90008600\nH 0.71457600 -2.48225900 1.17384300\nH 0.39231100 -1.24429600 2.39953500\nH 2.04485800 -1.51633500 1.82760600\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\ncandidate B, angstrom\nC -1.53495800 2.15210900 -0.33953500\nC -1.81764300 0.71691800 -0.76034900\nN -1.29092400 -0.27223800 0.19970300\nS 0.74565800 -0.37352400 0.09326700\nO 1.11747800 -0.71299700 -1.27196600\nO 1.28104200 0.79633500 0.75857800\nC 0.91534400 -1.83848700 1.17176100\nH -2.00285800 2.84781600 -1.03312900\nH -0.46767700 2.35810700 -0.32562800\nH -1.92673900 2.34961900 0.65543300\nH -1.43039600 0.53578300 -1.78129800\nH -2.90616700 0.55349500 -0.81265100\nH -1.60898600 -1.20572200 -0.09140900\nH 0.47559400 -2.71513100 0.70349000\nH 0.43456700 -1.66446300 2.13072100\nH 1.97399200 -2.02739700 1.34012100\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\ncandidate C, angstrom\nC -1.68904700 1.42311600 1.36048400\nC -1.66543800 1.22354100 -0.14974300\nN -1.24603100 -0.13514100 -0.53197800\nS 0.76464000 -0.39706600 -0.33420000\nO 1.17811300 -1.18860900 -1.47935400\nO 1.37461300 0.88417700 -0.02429900\nC 0.71121400 -1.44726400 1.15641400\nH -2.08759900 2.40428300 1.60747500\nH -0.68852000 1.35541300 1.78303400\nH -2.31140900 0.67343700 1.84421100\nH -1.02875100 1.99634900 -0.61933600\nH -2.67844100 1.36796200 -0.55604200\nH -1.40872400 -0.27129700 -1.53772000\nH 0.13100600 -2.34595200 0.96521500\nH 0.27038900 -0.90792000 1.99048600\nH 1.72784100 -1.73414200 1.42001500\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\ncandidate D, angstrom\nC -3.15189200 0.65540400 -0.46587000\nC -1.63053200 0.75848400 -0.51817600\nN -1.02606400 -0.31789400 0.27535000\nS 0.97918900 -0.20788900 0.36028300\nO 1.29519400 1.15347700 0.73642600\nO 1.39879000 -1.35284500 1.14100000\nC 1.42622000 -0.47611600 -1.39905100\nH -3.60917900 1.46075200 -1.03646500\nH -3.50798100 0.71837000 0.55924500\nH -3.49334600 -0.29078300 -0.88197800\nH -1.30673900 1.72457600 -0.10942400\nH -1.29657600 0.73245900 -1.57751000\nH -1.27368600 -1.23921400 -0.10335600\nH 0.94226800 0.25805300 -2.03813400\nH 1.14166700 -1.47439200 -1.72038800\nH 2.50434800 -0.37002600 -1.50481300\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CONF-7206-min_energy",
   "family": "conformer_target_selection",
   "ability": "design",
   "question": "S0 is a conformer of a neutral C3H6O3S molecule. You may change it only by rotating about single bonds: the same atoms in the same order, the same bonds and the same configuration at every stereocentre. Goal: obtain the lowest total PBE0+MBD energy (single-point energies at the supplied geometries). All four candidates A–D satisfy the allowed modification. Which candidate best meets the goal?",
   "scope": "QM7-X 分子 7206 同一立体异构体（i1）的 DFTB3+MBD 优化构象；只允许单键旋转；性质为数据集 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0 starting conformer, angstrom\nC -2.59984500 0.02119800 1.46826400\nC -1.84393700 0.56537500 0.51401500\nC -1.04212700 -0.23176300 -0.47395700\nS 0.77349600 -0.01247000 -0.17616000\nO 1.13067900 1.37924400 -0.40616200\nO 1.14030500 -0.69421300 1.03851300\nO 1.34520000 -0.88256300 -1.42597300\nH -3.15740000 0.64240400 2.15775900\nH -2.67880300 -1.05334800 1.58530100\nH -1.77503500 1.64820400 0.42154000\nH -1.26080800 0.09622200 -1.49608500\nH -1.27886100 -1.29628700 -0.40489200\nH 1.76095200 -0.38627100 -2.14602100\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\ncandidate A, angstrom\nC -2.33377400 1.63674400 0.46468300\nC -1.79626900 0.42311400 0.59895800\nC -1.07330200 -0.29775400 -0.49860800\nS 0.74282900 -0.46335100 -0.14351500\nO 0.91357300 -0.92742900 1.22393700\nO 1.36494300 -1.13894300 -1.25421300\nO 1.19612400 1.08697300 -0.21985900\nH -2.84974100 2.11133800 1.28958800\nH -2.28594800 2.17693500 -0.47356400\nH -1.86219700 -0.09921700 1.55191000\nH -1.19404900 0.21378100 -1.45654600\nH -1.46673200 -1.31339700 -0.61329600\nH 1.19634500 1.58675000 0.60903200\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\ncandidate B, angstrom\nC -1.55594700 1.25943200 1.42557900\nC -2.00216900 0.46121200 0.45665000\nC -1.17883700 -0.31665700 -0.53532000\nS 0.65671700 -0.19741500 -0.39495400\nO 1.22505700 -1.19691900 -1.28902500\nO 1.07053600 1.18160000 -0.45662500\nO 0.88685200 -0.71063400 1.12614000\nH -2.25773900 1.77118600 2.07274000\nH -0.50212100 1.43416200 1.60076900\nH -3.07750200 0.33240900 0.32684800\nH -1.43753700 0.00723700 -1.55121800\nH -1.45458700 -1.37729900 -0.49013300\nH 1.18418000 -1.62533500 1.23489500\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\ncandidate C, angstrom\nC -2.63575600 1.34387000 0.24787300\nC -1.83000100 0.32456400 0.54760900\nC -1.01198900 -0.41940500 -0.46654100\nS 0.81054700 -0.18663600 -0.21635600\nO 1.51444100 -1.14804600 -1.05427400\nO 1.12757200 1.21721000 -0.25709700\nO 0.94441200 -0.68432100 1.32332700\nH -3.20448900 1.84891600 1.01821100\nH -2.74491600 1.69965700 -0.76976900\nH -1.73244800 -0.00855800 1.57968800\nH -1.24791400 -0.08341300 -1.47959500\nH -1.21988400 -1.49421400 -0.42037700\nH 1.35597400 -1.54913100 1.46424600\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\ncandidate D, angstrom\nC -1.56522100 1.19618500 1.57946300\nC -2.01302300 0.39246600 0.61574600\nC -1.18496700 -0.35407200 -0.39583800\nS 0.63863300 -0.16776900 -0.21469700\nO 1.04315700 1.18857900 -0.55369000\nO 1.06847400 -0.79126700 1.01306300\nO 1.08430100 -1.13144000 -1.44933100\nH -2.26167200 1.68360700 2.25065000\nH -0.51147100 1.39429500 1.73294500\nH -3.08655800 0.23228800 0.51017500\nH -1.46812200 -0.03485500 -1.40650100\nH -1.42061400 -1.42359900 -0.34222000\nH 1.54212400 -0.70187300 -2.18645700\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CONF-7095-min_energy",
   "family": "conformer_target_selection",
   "ability": "design",
   "question": "S0 is a conformer of a neutral C4H8N2S molecule. You may change it only by rotating about single bonds: the same atoms in the same order, the same bonds and the same configuration at every stereocentre. Goal: obtain the lowest total PBE0+MBD energy (single-point energies at the supplied geometries). All four candidates A–D satisfy the allowed modification. Which candidate best meets the goal?",
   "scope": "QM7-X 分子 7095 同一立体异构体（i1）的 DFTB3+MBD 优化构象；只允许单键旋转；性质为数据集 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0 starting conformer, angstrom\nC -0.77705200 2.51213300 -0.44065100\nN -1.29744900 1.16597300 -0.32917400\nC -0.56481300 0.04038100 -0.08191900\nS -1.35356400 -1.46316200 0.00993200\nN 0.78720100 0.18713800 0.08078300\nC 1.67513800 -0.85733300 0.34191600\nC 2.99686100 -0.66714100 0.49704700\nH -1.60253200 3.18961700 -0.65161300\nH -0.04328800 2.60564100 -1.25369400\nH -0.29054500 2.84695500 0.48663800\nH -2.29698200 1.03246000 -0.44407600\nH 1.18736500 1.12063200 0.01008000\nH 1.20736600 -1.83817700 0.40989900\nH 3.43996700 0.31819200 0.42513700\nH 3.64660300 -1.50474300 0.69909900\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate A, angstrom\nC -1.10447900 2.00515000 -0.41142900\nN -1.23453800 0.57921200 -0.64515000\nC -0.48257200 -0.43256400 -0.12652500\nS -1.11044500 -2.01716700 -0.13675500\nN 0.76139600 -0.22824100 0.41289900\nC 1.63771700 0.84311600 0.23765800\nC 2.83666400 0.90646600 0.84694600\nH -2.10129600 2.45053200 -0.40113900\nH -0.52648000 2.51423300 -1.19735800\nH -0.62941500 2.20767300 0.55170900\nH -2.12938400 0.27478300 -1.01993600\nH 1.15399000 -1.04495800 0.87773700\nH 1.32343300 1.61607600 -0.45907800\nH 3.16405000 0.13064400 1.52638900\nH 3.50022800 1.73588600 0.65560900\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate B, angstrom\nC -2.36363000 1.13644600 -0.14057800\nN -0.93286800 0.95234900 -0.29542000\nC -0.29705900 -0.17174400 0.12534000\nS -1.13355600 -1.46516000 0.84683700\nN 1.06478900 -0.27618700 -0.03893800\nC 1.93867000 0.64810500 -0.60582700\nC 3.26377200 0.43603500 -0.71545900\nH -2.66388400 2.04350100 -0.66544200\nH -2.64519400 1.23113400 0.91562400\nH -2.90989800 0.28418700 -0.55571200\nH -0.40132900 1.72285900 -0.68912700\nH 1.47597100 -1.14416200 0.29739100\nH 1.49225400 1.57410100 -0.96745000\nH 3.71671000 -0.47998800 -0.36054700\nH 3.89829900 1.18473300 -1.16448600\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate C, angstrom\nC -0.66173500 1.96270100 -0.63421000\nN -1.08597200 0.60960600 -0.33174800\nC -0.38124200 -0.31847800 0.37058900\nS -1.19980000 -1.59861900 1.13701000\nN 0.98428600 -0.20719000 0.52901200\nC 1.93752700 0.29122600 -0.37061600\nC 1.76686000 0.49024500 -1.68985300\nH -1.50579900 2.64129800 -0.48956000\nH -0.31389300 2.07722200 -1.67119500\nH 0.14926000 2.26988800 0.02881000\nH -2.08608000 0.43237300 -0.38105800\nH 1.36097400 -0.80010100 1.26665700\nH 2.91189800 0.46585900 0.09126000\nH 0.83828800 0.25208300 -2.18907100\nH 2.58550000 0.86820000 -2.28431000\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate D, angstrom\nC -2.25710800 1.55965600 -0.54728400\nN -0.83680500 1.53159200 -0.25435100\nC -0.14450800 0.36852200 -0.04668500\nS -0.93861400 -1.12732300 -0.14738100\nN 1.19051700 0.55578400 0.23705100\nC 2.21848300 -0.36685000 0.49696300\nC 2.15581800 -1.70644200 0.51453000\nH -2.55975300 2.59091500 -0.72958000\nH -2.84603600 1.16051700 0.28759200\nH -2.48696300 0.95922100 -1.43390200\nH -0.35466800 2.42292100 -0.17343500\nH 1.49476200 1.52720300 0.26860100\nH 3.16362800 0.14116600 0.70166800\nH 1.23818300 -2.24323600 0.31634100\nH 3.05657100 -2.26248200 0.73676900\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CONF-7032-max_dipole",
   "family": "conformer_target_selection",
   "ability": "design",
   "question": "S0 is a conformer of a neutral C4H10N2S molecule. You may change it only by rotating about single bonds: the same atoms in the same order, the same bonds and the same configuration at every stereocentre. Goal: obtain the largest total dipole-moment magnitude (PBE0+MBD, at the supplied geometries). All four candidates A–D satisfy the allowed modification. Which candidate best meets the goal?",
   "scope": "QM7-X 分子 7032 同一立体异构体（i1）的 DFTB3+MBD 优化构象；只允许单键旋转；性质为数据集 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\nS0 starting conformer, angstrom\nC -1.38400400 -0.65400500 2.73448500\nC -1.87507900 -1.16698100 1.38646300\nC -1.47550700 -0.26842400 0.21115800\nN -0.03080600 -0.26812400 0.02317700\nC 0.64115500 0.44680000 -0.91549600\nS 2.33787900 0.36193500 -1.00864000\nN -0.06625200 1.24288400 -1.77004300\nH -1.68591200 -1.32876200 3.53157000\nH -1.79612800 0.32916200 2.95059000\nH -0.29941000 -0.57364900 2.75768000\nH -2.96567900 -1.24865800 1.40446200\nH -1.49052600 -2.17712600 1.21287100\nH -1.83966800 0.76061300 0.38399100\nH -1.98074900 -0.62064900 -0.70822000\nH 0.52951400 -0.84195000 0.64573700\nH -1.07664600 1.22474100 -1.80653200\nH 0.43915700 1.71765800 -2.50550500\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\ncandidate A, angstrom\nC -1.35857100 -1.41600300 2.37737000\nC -1.77396100 -1.55788500 0.91769200\nC -1.20001600 -0.46440100 0.01257900\nN 0.25609200 -0.55273600 -0.06039100\nC 1.02818400 0.42364900 -0.60143600\nS 0.38218000 1.87117800 -1.21273800\nN 2.37923600 0.18980100 -0.65054500\nH -1.79295200 -2.21032400 2.97967000\nH -1.68952900 -0.46359900 2.78466700\nH -0.27686100 -1.46629600 2.48806900\nH -2.86486400 -1.52924100 0.84809900\nH -1.46696700 -2.54078400 0.54209900\nH -1.47880200 0.53186000 0.38398500\nH -1.63537200 -0.55373800 -0.99826900\nH 0.69152800 -1.41637600 0.25438500\nH 2.79679900 -0.60326100 -0.18041700\nH 2.98102400 0.94129400 -0.95916600\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\ncandidate B, angstrom\nC -1.01045900 -2.10652100 1.72777500\nC -1.61150900 -0.70881500 1.81003900\nC -1.22490700 0.18617700 0.62570800\nN 0.21384100 0.42717700 0.58794300\nC 0.92570100 0.60302800 -0.55497700\nS 0.23687000 0.52605600 -2.10705400\nN 2.26497900 0.86004700 -0.41038700\nH -1.32362300 -2.71118400 2.57557800\nH 0.07703400 -2.06668600 1.72704800\nH -1.32474800 -2.61154500 0.81766100\nH -1.30136600 -0.22925000 2.74600400\nH -2.70193800 -0.78238200 1.84860300\nH -1.77128600 1.14483200 0.69951800\nH -1.51561200 -0.27456700 -0.32574900\nH 0.69077300 0.51809500 1.48242800\nH 2.72240800 0.82238500 0.49150200\nH 2.83373300 0.91963700 -1.24389200\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\ncandidate C, angstrom\nC -3.27146200 -1.54380600 0.94710700\nC -1.75104100 -1.48568600 0.90458300\nC -1.23386800 -0.25639600 0.15282300\nN 0.22361000 -0.24396600 0.13835100\nC 0.99791500 0.71348300 -0.43622200\nS 2.69419400 0.60360100 -0.36516000\nN 0.39231600 1.76274800 -1.06378700\nH -3.60636800 -2.42543300 1.48747700\nH -3.69002200 -1.58549100 -0.05634400\nH -3.68256300 -0.66792200 1.44470900\nH -1.36019000 -2.39041200 0.42767600\nH -1.35322100 -1.47752100 1.92456200\nH -1.62161200 0.66369700 0.62746700\nH -1.62967600 -0.25521000 -0.87966800\nH 0.71191200 -1.00517500 0.60000000\nH -0.61228800 1.83147000 -1.15593900\nH 0.97618200 2.45733600 -1.50906500\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\ncandidate D, angstrom\nC -3.27576200 0.13890200 1.37040500\nC -1.77913300 0.36687200 1.53156300\nC -1.04073500 0.35585400 0.18786700\nN 0.38578200 0.60285600 0.37395700\nC 1.36062000 0.05427300 -0.39711800\nS 1.05098900 -1.04254000 -1.65766800\nN 2.64846900 0.43251600 -0.11644700\nH -3.77518000 0.15865800 2.33605900\nH -3.47509000 -0.82488000 0.90754500\nH -3.72227900 0.90845400 0.74414600\nH -1.35771100 -0.40362600 2.18522300\nH -1.60496300 1.32561600 2.03473700\nH -1.47829100 1.11782000 -0.48319800\nH -1.15443300 -0.61195500 -0.31408300\nH 0.64886500 1.28152900 1.08562800\nH 2.87334100 1.00417100 0.68779800\nH 3.40021000 -0.01815600 -0.62003100\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-QNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule MAJHUB (41 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MAJHUB PBE+vdW-relaxed几何；41 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "QNP007-MAJHUB.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "41\r\n\r\nC      18.53240516      34.43021051      30.47797422 \r\nH      19.38328668      34.37008281      29.78515105 \r\nC      17.47540562      33.44951853      29.95484252 \r\nH      16.84676717      33.01728422      30.73515856 \r\nC      16.63071162      34.22991543      28.92923929 \r\nH      16.68450866      33.79155280      27.92026852 \r\nH      15.57324802      34.21475438      29.25007708 \r\nN      18.11555327      32.22402502      29.29435330 \r\nO      19.16899430      32.36798069      28.68338055 \r\nO      17.48674507      31.17269036      29.40309125 \r\nC      19.01571722      34.19190793      31.88912921 \r\nC      20.36383710      34.37682515      32.24665535 \r\nC      19.90855725      33.81781874      34.54913769 \r\nC      18.56565019      33.62617775      34.22654898 \r\nH      17.84978138      33.33215989      34.99296151 \r\nC      18.13628049      33.81055080      32.91546537 \r\nH      17.08066374      33.67039877      32.68636745 \r\nN      17.20190145      35.57177249      28.92939817 \r\nC      17.86660095      35.82416246      30.18123680 \r\nC      16.36561249      36.61495706      28.36616050 \r\nH      16.92642942      37.55714229      28.32884967 \r\nH      15.42343041      36.77694332      28.92583539 \r\nH      16.10867829      36.34635190      27.33276924 \r\nC      18.94694032      36.93954263      30.10670622 \r\nO      19.64151899      37.19331598      29.14379414 \r\nC      18.92509342      37.64658851      31.41016844 \r\nC      19.85507091      38.54623654      31.93127705 \r\nH      20.74283670      38.81323596      31.35905627 \r\nC      19.61170812      39.07549134      33.19716539 \r\nH      20.31975033      39.77929793      33.63465836 \r\nC      18.46332628      38.71596566      33.92583945 \r\nH      18.30356483      39.14879135      34.91340774 \r\nC      17.53372764      37.81880279      33.40464994 \r\nH      16.64342966      37.52900680      33.96186045 \r\nC      17.77779786      37.28734428      32.13716681 \r\nC      16.99237504      36.28715046      31.38000868 \r\nO      15.86041875      35.89650266      31.62059036 \r\nC      20.80979354      34.19199248      33.55650295 \r\nH      20.26028476      33.67387160      35.57025230 \r\nCl      21.54628014      34.85529835      31.05891692 \r\nH      21.86324051      34.34253245      33.78441315 \r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3.5005",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "8.6066",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "9.0202",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "10.0003",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-QNP008",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule JIMHOC (57 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "JIMHOC PBE+vdW-relaxed几何；57 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "QNP008-JIMHOC.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "57\r\n\r\nC      29.02017577      44.49989876      35.79756574 \r\nC      26.35245204      44.14822419      34.31220168 \r\nC      28.38119805      41.74420657      34.43402701 \r\nC      29.04408868      42.18385502      33.11421989 \r\nC      27.24335256      40.74984674      34.13314366 \r\nC      29.42754681      41.06217798      35.33652013 \r\nC      23.87547265      42.84752254      36.93867527 \r\nO      26.95469318      42.61855095      36.70550757 \r\nSi      27.67776150      43.27869950      35.31756589 \r\nH      29.78745456      44.03396350      36.42925998 \r\nH      26.79623385      44.68866880      33.46484367 \r\nH      25.61024376      43.44289370      33.91706223 \r\nH      28.32957882      42.66886811      32.43327517 \r\nH      29.87793941      42.88129034      33.28010162 \r\nH      29.45446998      41.30845821      32.58414374 \r\nH      26.48926933      41.17677772      33.45657214 \r\nH      27.64687615      39.84877586      33.64209881 \r\nH      26.73032293      40.42810620      35.04958361 \r\nH      28.99562224      40.75184785      36.29810545 \r\nH      29.82356559      40.15856850      34.84396666 \r\nH      30.28407049      41.71877022      35.54602717 \r\nH      23.21931899      43.67050081      36.61188511 \r\nH      24.34133888      42.40339347      36.05094664 \r\nC      26.27961353      43.30774787      37.65102050 \r\nC      24.94403361      43.34032691      37.84680937 \r\nC      28.05799883      43.47342822      39.32204607 \r\nC      23.86453239      43.85600909      40.05559672 \r\nC      21.93967246      42.66621189      40.70042792 \r\nN      24.70919324      44.16086786      39.01026455 \r\nN      26.99778317      44.12504952      38.55097537 \r\nO      23.94157232      44.33876328      41.17634376 \r\nO      22.89585738      42.97408398      39.67299529 \r\nH      26.16164728      44.77305352      40.40057829 \r\nH      28.68947065      44.23063735      39.80228990 \r\nH      27.66323060      42.79196555      40.09895563 \r\nH      28.68390495      42.89093842      38.63652803 \r\nH      23.23470215      42.09101882      37.40811650 \r\nH      21.24447463      41.95563649      40.24319087 \r\nH      22.43063322      42.21412371      41.57129581 \r\nH      21.40601277      43.56942733      41.02249360 \r\nH      24.68290850      46.18574698      37.19257545 \r\nH      25.62729739      47.68706029      37.25636752 \r\nH      26.42968656      46.16066521      36.84285483 \r\nH      28.58822486      45.33704540      36.36067394 \r\nH      29.51420789      44.90723808      34.90432417 \r\nH      25.82097107      44.88053099      34.93463322 \r\nC      25.97481281      44.86673088      39.32057956 \r\nC      25.95190801      46.38517583      38.96606828 \r\nC      24.88188464      47.09220611      39.81330505 \r\nC      25.65533008      46.61062970      37.47636419 \r\nC      27.33658761      46.95978140      39.30905457 \r\nH      23.87321351      46.73564726      39.56800408 \r\nH      25.03860400      46.92562889      40.88690401 \r\nH      24.91112717      48.17436893      39.62327139 \r\nH      28.12470645      46.48599625      38.70883271 \r\nH      27.57854275      46.81520172      40.37252452 \r\nH      27.36150624      48.03950326      39.10780948 \r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "11.8784",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "12.5539",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "14.2784",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "15.3145",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-QNP009",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule KEGPOC (64 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "KEGPOC PBE+vdW-relaxed几何；64 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "QNP009-KEGPOC.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "64\r\n\r\nO      19.86010280      28.28309660      32.76717029 \r\nO      18.64302191      30.24973211      36.66819098 \r\nO      14.17063436      29.25007521      37.95162424 \r\nO      15.95917704      27.85833360      33.65559508 \r\nN      18.88812771      27.97236471      33.70952443 \r\nC      18.41153689      29.04725706      34.22957826 \r\nC      19.02007011      30.32575557      33.66461054 \r\nC      17.29559340      29.03974314      35.18489197 \r\nC      17.41839193      29.69869638      36.42909188 \r\nC      16.36309869      29.75696120      37.33661883 \r\nC      15.14846998      29.14910609      37.00219233 \r\nC      14.97951288      28.49516250      35.77949975 \r\nC      16.05492384      28.44776911      34.87944620 \r\nC      17.09397330      30.62892824      32.04104121 \r\nC      18.86504822      30.89264659      37.91815901 \r\nC      12.90907666      28.65014877      37.67843982 \r\nC      14.71265278      27.29638411      33.26899424 \r\nH      19.45885684      30.60597922      30.83374819 \r\nH      16.44943352      30.24848255      38.30107832 \r\nH      14.03178916      28.03524484      35.52329007 \r\nH      17.21033782      29.58675850      31.74318305 \r\nH      18.72957339      30.19433270      38.75845394 \r\nH      12.29079369      28.84462937      38.56032074 \r\nH      12.43002506      29.09908614      36.79369970 \r\nH      13.00124223      27.56207975      37.53261893 \r\nH      14.87021608      26.89931947      32.26116046 \r\nH      14.41305329      26.47263054      33.93621643 \r\nH      13.91452537      28.05589934      33.24109085 \r\nF      14.93387776      33.45946830      31.32882155 \r\nC      17.94537848      31.16986464      33.01620021 \r\nC      16.08176179      31.39305808      31.46469697 \r\nC      15.92085486      32.70870381      31.88436017 \r\nC      16.73071921      33.27611872      32.85912781 \r\nC      17.74036237      32.49311688      33.41984982 \r\nH      19.47548555      30.89337410      34.48657325 \r\nH      15.41735243      30.98170848      30.70640491 \r\nH      16.56502183      34.30604969      33.17084777 \r\nH      18.38033946      32.92120668      34.19207344 \r\nH      18.19953295      31.76029300      38.05216415 \r\nH      21.19003756      29.39422698      29.49801415 \r\nO      21.86440899      29.72767874      34.53432815 \r\nC      22.47895069      30.35722921      32.23058594 \r\nC      21.56833616      29.90638764      33.37255988 \r\nC      20.13919188      29.73715401      32.76735001 \r\nC      20.37052872      30.25246313      31.32876083 \r\nC      21.12435731      29.14409259      30.56352917 \r\nC      22.51973061      29.14465613      31.24407887 \r\nH      20.61877840      28.17811568      30.64283113 \r\nH      22.72633987      28.20773527      31.77718439 \r\nH      23.33779630      29.28983607      30.52482113 \r\nH      24.38838054      30.07366358      33.19794455 \r\nC      21.48542516      31.33909160      31.50826913 \r\nC      21.09755046      32.54460558      32.37638690 \r\nC      22.00814726      31.88883040      30.17418125 \r\nC      23.83327225      30.86593040      32.67823465 \r\nH      20.82732947      32.27697321      33.40539771 \r\nH      21.93962136      33.24710415      32.44308756 \r\nH      20.24841401      33.08454647      31.93770108 \r\nH      22.42009162      31.12250086      29.50906936 \r\nH      21.19695730      32.39806308      29.63376320 \r\nH      22.79862355      32.63047208      30.35188255 \r\nH      24.43531063      31.19494515      31.82017271 \r\nH      23.74042481      31.70543855      33.37981358 \r\nH      19.90593213      31.22976477      37.89251805 \r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12.2309",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "14.0870",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "15.4271",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "17.1641",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-QNP010",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule KEWGID (48 atoms, angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "KEWGID PBE+vdW-relaxed几何；48 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "QNP010-KEWGID.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "48\r\n\r\nH      11.41449474      27.63253451      23.84217972 \r\nC      11.79033011      31.29439926      22.47104573 \r\nC      11.84957660      28.89168458      22.18174242 \r\nH      12.00962564      28.08901685      21.46330482 \r\nC      12.20884587      30.30185869      20.21449874 \r\nH      12.65423229      29.35506816      19.88726740 \r\nC      13.10708630      31.46734022      19.76180802 \r\nH      13.71414049      31.88770503      20.57192907 \r\nC      12.14141453      32.49228291      19.10608015 \r\nH      12.16622453      33.47706499      19.58785908 \r\nC      10.78624875      31.82410215      19.23075357 \r\nC       9.57745707      32.50653888      19.79908813 \r\nC       9.58688800      32.15840708      18.35093591 \r\nH       9.71416060      32.95339822      17.61775895 \r\nH       8.96975147      31.31430402      18.04521226 \r\nC      13.86894325      31.99164159      17.64555144 \r\nC      14.94145139      33.06012238      17.87571536 \r\nH      14.81599713      33.54457141      18.85260725 \r\nH      14.87439760      33.83334748      17.10059149 \r\nH      15.94084171      32.60901968      17.84062043 \r\nC      13.99535764      31.29059981      16.30660445 \r\nH      14.97090965      30.79616303      16.22746341 \r\nH      13.90421274      32.01761570      15.49091035 \r\nH      13.20148144      30.54169939      16.21098518 \r\nF       9.63452601      33.80860423      20.17854703 \r\nF       8.76436597      31.81806529      20.64438111 \r\nN      12.00504758      30.16109280      21.66705145 \r\nO      11.86784307      32.43688352      22.03731589 \r\nO      13.91184845      30.99558155      18.68298131 \r\nO      12.55504730      32.56201414      17.74091008 \r\nO      10.98195529      30.44600744      19.51021882 \r\nC      11.30072328      29.74345845      24.39087504 \r\nC      11.52317164      28.64622009      23.46965168 \r\nC      11.38223119      32.21263077      24.69610672 \r\nC      10.04902818      32.83279610      24.79102913 \r\nC       9.89395114      33.92265319      25.66455966 \r\nH      10.75481864      34.25596905      26.24206461 \r\nC       8.66071627      34.55197765      25.77862609 \r\nH       8.54125700      35.39530618      26.45814683 \r\nC       7.57430390      34.10439572      25.01919120 \r\nH       6.60852199      34.60230875      25.10660400 \r\nC       7.72353155      33.02359780      24.14828922 \r\nH       6.88010734      32.67897931      23.55135574 \r\nC       8.95534263      32.38530979      24.03566248 \r\nH       9.06612430      31.54777271      23.35069610 \r\nN      11.48267823      31.02061085      23.79057287 \r\nO      10.97787097      29.65836848      25.56717255 \r\nO      12.37783831      32.57076693      25.27248757 \r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3.7192",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "3.9831",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "4.2467",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "6.9250",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-QNP011",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule PEKZAG (70 atoms, angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PEKZAG PBE+vdW-relaxed几何；70 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "QNP011-PEKZAG.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "70\r\n\r\nC       9.86753234      24.00547579      37.72369608 \r\nC      14.14751623      24.04591492      36.36939350 \r\nC      13.64289010      22.73835111      36.40085762 \r\nC      14.49979167      21.63781333      36.34567308 \r\nC      15.87934402      21.82078462      36.25290940 \r\nC      16.39302832      23.11722231      36.18968070 \r\nC      15.53761138      24.21437073      36.23559668 \r\nC      14.75069576      23.55261338      39.67227062 \r\nC      13.79400494      22.66419065      40.15502597 \r\nC      13.25498313      22.83716181      41.43075113 \r\nC      13.69461579      23.90264784      42.21562946 \r\nC      17.79237077      23.61059745      39.51642765 \r\nH       7.94073349      24.15697268      36.75571753 \r\nH       9.48135953      23.48559217      38.60056070 \r\nH      12.56981474      22.57267196      36.46614877 \r\nH      14.08090391      20.63147488      36.37113358 \r\nH      16.54929224      20.96178550      36.21998494 \r\nH      17.46697586      23.27970048      36.11434813 \r\nH      15.16350230      23.39861961      38.67975192 \r\nH      13.47076814      21.83723673      39.52249887 \r\nH      12.50447386      22.14465448      41.81223493 \r\nH      13.29243579      24.04631406      43.21861139 \r\nH      17.22222555      23.05041142      40.25487467 \r\nC      14.14121121      26.60547470      32.97377344 \r\nC      14.02599431      27.98678383      33.13284464 \r\nH      14.40572453      26.18485623      32.00342361 \r\nH      14.20574632      28.65567854      32.29123118 \r\nS      13.43986154      26.14540690      38.18834568 \r\nS      15.31631331      26.76175470      38.54897177 \r\nC      13.25906725      25.27575679      36.45080613 \r\nC      13.57919136      26.25832726      35.31992161 \r\nC      13.92150831      25.75281754      34.05484034 \r\nC      13.67853195      28.50110867      34.38178695 \r\nC      13.45430298      27.64608883      35.46118356 \r\nC      11.76136374      24.96655692      36.52722624 \r\nC      10.88159274      25.34644815      35.50416647 \r\nC       9.52008040      25.05113083      35.58324450 \r\nC       9.00549705      24.38131512      36.69261256 \r\nC      11.22853110      24.29332575      37.64350739 \r\nC      16.22205019      25.59490825      39.87434865 \r\nC      15.20283804      24.63243919      40.44972094 \r\nC      14.65871963      24.78878903      41.73178310 \r\nC      17.39137462      24.90790964      39.16929126 \r\nC      18.17564699      25.61137523      38.24216771 \r\nC      16.75031952      26.60285831      40.90665374 \r\nC      16.43953719      28.54539467      42.34569121 \r\nC      15.96991091      27.68014414      41.35884645 \r\nH      14.01221853      24.67689881      33.91338990 \r\nH      13.58160417      29.57773873      34.52283778 \r\nH      13.17891749      28.06065905      36.42893736 \r\nH      11.26236800      25.87455490      34.63242006 \r\nH       8.85917353      25.35308259      34.77063112 \r\nH      11.88541728      23.99416023      38.45953822 \r\nH      15.95331960      25.21763477      36.17594927 \r\nH      14.99477445      25.60370706      42.36925386 \r\nH      17.90029448      26.62911440      37.96729979 \r\nH      15.81147714      29.37352755      42.67448989 \r\nH      14.98550451      27.84517070      40.92521307 \r\nC      18.92124585      23.02705134      38.93776703 \r\nC      19.68076477      23.73222005      38.00615231 \r\nH      19.20676705      22.01485096      39.22463683 \r\nH      20.56165136      23.27722665      37.55343586 \r\nC      19.30215393      25.03279481      37.66346976 \r\nC      18.01867272      26.42647140      41.48035439 \r\nC      18.48894316      27.29178066      42.46875555 \r\nC      17.70406586      28.35813983      42.90502401 \r\nH      19.88883328      25.60236519      36.94254879 \r\nH      18.64862586      25.60029572      41.15683188 \r\nH      19.47874530      27.12865558      42.89544110 \r\nH      18.07472768      29.03921459      43.67101959 \r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4.1022",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "4.1687",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "4.3877",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "4.6156",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-MNP006",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the Zn sublattice of ZIF-8 (COD 4118891): the 12 zinc atoms of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "ZIF-8 Zn 亚晶格；12 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "MNP006-ZIF8-Zn.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "12\r\nZIF-8 Zn sublattice, one conventional cell, angstrom\r\nZn 0.0 4.207575 8.41515\r\nZn 0.0 8.41515 4.207575\r\nZn 0.0 8.41515 12.622725\r\nZn 0.0 12.622725 8.41515\r\nZn 4.207575 0.0 8.41515\r\nZn 4.207575 8.41515 0.0\r\nZn 8.41515 0.0 4.207575\r\nZn 8.41515 0.0 12.622725\r\nZn 8.41515 4.207575 0.0\r\nZn 8.41515 12.622725 0.0\r\nZn 12.622725 0.0 8.41515\r\nZn 12.622725 8.41515 0.0\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "17.8512",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "18.8168",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "20.6312",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "21.8632",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-MNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the Zn sublattice of MOF-5 (COD 1516287): the 32 zinc atoms of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MOF-5 Zn 亚晶格；32 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "MNP007-MOF5-Zn.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "32\r\nMOF-5 Zn sublattice, one conventional cell, angstrom\r\nZn 5.3321291078 5.3321291078 7.5802208922\r\nZn 5.3321291078 5.3321291078 18.2444791078\r\nZn 5.3321291078 7.5802208922 5.3321291078\r\nZn 5.3321291078 7.5802208922 20.4925708922\r\nZn 5.3321291078 18.2444791078 5.3321291078\r\nZn 5.3321291078 18.2444791078 20.4925708922\r\nZn 5.3321291078 20.4925708922 7.5802208922\r\nZn 5.3321291078 20.4925708922 18.2444791078\r\nZn 7.5802208922 5.3321291078 5.3321291078\r\nZn 7.5802208922 5.3321291078 20.4925708922\r\nZn 7.5802208922 7.5802208922 7.5802208922\r\nZn 7.5802208922 7.5802208922 18.2444791078\r\nZn 7.5802208922 18.2444791078 7.5802208922\r\nZn 7.5802208922 18.2444791078 18.2444791078\r\nZn 7.5802208922 20.4925708922 5.3321291078\r\nZn 7.5802208922 20.4925708922 20.4925708922\r\nZn 18.2444791078 5.3321291078 5.3321291078\r\nZn 18.2444791078 5.3321291078 20.4925708922\r\nZn 18.2444791078 7.5802208922 7.5802208922\r\nZn 18.2444791078 7.5802208922 18.2444791078\r\nZn 18.2444791078 18.2444791078 7.5802208922\r\nZn 18.2444791078 18.2444791078 18.2444791078\r\nZn 18.2444791078 20.4925708922 5.3321291078\r\nZn 18.2444791078 20.4925708922 20.4925708922\r\nZn 20.4925708922 5.3321291078 7.5802208922\r\nZn 20.4925708922 5.3321291078 18.2444791078\r\nZn 20.4925708922 7.5802208922 5.3321291078\r\nZn 20.4925708922 7.5802208922 20.4925708922\r\nZn 20.4925708922 18.2444791078 5.3321291078\r\nZn 20.4925708922 18.2444791078 20.4925708922\r\nZn 20.4925708922 20.4925708922 7.5802208922\r\nZn 20.4925708922 20.4925708922 18.2444791078\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "15.1604",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "23.9459",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "26.2587",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "26.7259",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-MNP010",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full ordered framework of MOF-5 (COD 1516287): all 424 atoms (Zn, O, C, H) of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MOF-5 完整框架；424 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "MNP010-MOF5-full.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "424\r\nMOF-5 full framework, one conventional cell, angstrom\r\nZn 5.3321291078 5.3321291078 7.5802208922\r\nZn 5.3321291078 5.3321291078 18.2444791078\r\nZn 5.3321291078 7.5802208922 5.3321291078\r\nZn 5.3321291078 7.5802208922 20.4925708922\r\nZn 5.3321291078 18.2444791078 5.3321291078\r\nZn 5.3321291078 18.2444791078 20.4925708922\r\nZn 5.3321291078 20.4925708922 7.5802208922\r\nZn 5.3321291078 20.4925708922 18.2444791078\r\nZn 7.5802208922 5.3321291078 5.3321291078\r\nZn 7.5802208922 5.3321291078 20.4925708922\r\nZn 7.5802208922 7.5802208922 7.5802208922\r\nZn 7.5802208922 7.5802208922 18.2444791078\r\nZn 7.5802208922 18.2444791078 7.5802208922\r\nZn 7.5802208922 18.2444791078 18.2444791078\r\nZn 7.5802208922 20.4925708922 5.3321291078\r\nZn 7.5802208922 20.4925708922 20.4925708922\r\nZn 18.2444791078 5.3321291078 5.3321291078\r\nZn 18.2444791078 5.3321291078 20.4925708922\r\nZn 18.2444791078 7.5802208922 7.5802208922\r\nZn 18.2444791078 7.5802208922 18.2444791078\r\nZn 18.2444791078 18.2444791078 7.5802208922\r\nZn 18.2444791078 18.2444791078 18.2444791078\r\nZn 18.2444791078 20.4925708922 5.3321291078\r\nZn 18.2444791078 20.4925708922 20.4925708922\r\nZn 20.4925708922 5.3321291078 7.5802208922\r\nZn 20.4925708922 5.3321291078 18.2444791078\r\nZn 20.4925708922 7.5802208922 5.3321291078\r\nZn 20.4925708922 7.5802208922 20.4925708922\r\nZn 20.4925708922 18.2444791078 5.3321291078\r\nZn 20.4925708922 18.2444791078 20.4925708922\r\nZn 20.4925708922 20.4925708922 7.5802208922\r\nZn 20.4925708922 20.4925708922 18.2444791078\r\nO 6.456175 6.456175 6.456175\r\nO 6.456175 6.456175 19.368525\r\nO 6.456175 19.368525 6.456175\r\nO 6.456175 19.368525 19.368525\r\nO 19.368525 6.456175 6.456175\r\nO 19.368525 6.456175 19.368525\r\nO 19.368525 19.368525 6.456175\r\nO 19.368525 19.368525 19.368525\r\nO 3.456636095 5.668779897 7.243570103\r\nO 3.456636095 5.668779897 18.581129897\r\nO 3.456636095 7.243570103 5.668779897\r\nO 3.456636095 7.243570103 20.155920103\r\nO 3.456636095 18.581129897 5.668779897\r\nO 3.456636095 18.581129897 20.155920103\r\nO 3.456636095 20.155920103 7.243570103\r\nO 3.456636095 20.155920103 18.581129897\r\nO 5.668779897 3.456636095 7.243570103\r\nO 5.668779897 3.456636095 18.581129897\r\nO 5.668779897 5.668779897 9.455713905\r\nO 5.668779897 5.668779897 16.368986095\r\nO 5.668779897 7.243570103 3.456636095\r\nO 5.668779897 7.243570103 22.368063905\r\nO 5.668779897 9.455713905 5.668779897\r\nO 5.668779897 9.455713905 20.155920103\r\nO 5.668779897 16.368986095 5.668779897\r\nO 5.668779897 16.368986095 20.155920103\r\nO 5.668779897 18.581129897 3.456636095\r\nO 5.668779897 18.581129897 22.368063905\r\nO 5.668779897 20.155920103 9.455713905\r\nO 5.668779897 20.155920103 16.368986095\r\nO 5.668779897 22.368063905 7.243570103\r\nO 5.668779897 22.368063905 18.581129897\r\nO 7.243570103 3.456636095 5.668779897\r\nO 7.243570103 3.456636095 20.155920103\r\nO 7.243570103 5.668779897 3.456636095\r\nO 7.243570103 5.668779897 22.368063905\r\nO 7.243570103 7.243570103 9.455713905\r\nO 7.243570103 7.243570103 16.368986095\r\nO 7.243570103 9.455713905 7.243570103\r\nO 7.243570103 9.455713905 18.581129897\r\nO 7.243570103 16.368986095 7.243570103\r\nO 7.243570103 16.368986095 18.581129897\r\nO 7.243570103 18.581129897 9.455713905\r\nO 7.243570103 18.581129897 16.368986095\r\nO 7.243570103 20.155920103 3.456636095\r\nO 7.243570103 20.155920103 22.368063905\r\nO 7.243570103 22.368063905 5.668779897\r\nO 7.243570103 22.368063905 20.155920103\r\nO 9.455713905 5.668779897 5.668779897\r\nO 9.455713905 5.668779897 20.155920103\r\nO 9.455713905 7.243570103 7.243570103\r\nO 9.455713905 7.243570103 18.581129897\r\nO 9.455713905 18.581129897 7.243570103\r\nO 9.455713905 18.581129897 18.581129897\r\nO 9.455713905 20.155920103 5.668779897\r\nO 9.455713905 20.155920103 20.155920103\r\nO 16.368986095 5.668779897 5.668779897\r\nO 16.368986095 5.668779897 20.155920103\r\nO 16.368986095 7.243570103 7.243570103\r\nO 16.368986095 7.243570103 18.581129897\r\nO 16.368986095 18.581129897 7.243570103\r\nO 16.368986095 18.581129897 18.581129897\r\nO 16.368986095 20.155920103 5.668779897\r\nO 16.368986095 20.155920103 20.155920103\r\nO 18.581129897 3.456636095 5.668779897\r\nO 18.581129897 3.456636095 20.155920103\r\nO 18.581129897 5.668779897 3.456636095\r\nO 18.581129897 5.668779897 22.368063905\r\nO 18.581129897 7.243570103 9.455713905\r\nO 18.581129897 7.243570103 16.368986095\r\nO 18.581129897 9.455713905 7.243570103\r\nO 18.581129897 9.455713905 18.581129897\r\nO 18.581129897 16.368986095 7.243570103\r\nO 18.581129897 16.368986095 18.581129897\r\nO 18.581129897 18.581129897 9.455713905\r\nO 18.581129897 18.581129897 16.368986095\r\nO 18.581129897 20.155920103 3.456636095\r\nO 18.581129897 20.155920103 22.368063905\r\nO 18.581129897 22.368063905 5.668779897\r\nO 18.581129897 22.368063905 20.155920103\r\nO 20.155920103 3.456636095 7.243570103\r\nO 20.155920103 3.456636095 18.581129897\r\nO 20.155920103 5.668779897 9.455713905\r\nO 20.155920103 5.668779897 16.368986095\r\nO 20.155920103 7.243570103 3.456636095\r\nO 20.155920103 7.243570103 22.368063905\r\nO 20.155920103 9.455713905 5.668779897\r\nO 20.155920103 9.455713905 20.155920103\r\nO 20.155920103 16.368986095 5.668779897\r\nO 20.155920103 16.368986095 20.155920103\r\nO 20.155920103 18.581129897 3.456636095\r\nO 20.155920103 18.581129897 22.368063905\r\nO 20.155920103 20.155920103 9.455713905\r\nO 20.155920103 20.155920103 16.368986095\r\nO 20.155920103 22.368063905 7.243570103\r\nO 20.155920103 22.368063905 18.581129897\r\nO 22.368063905 5.668779897 7.243570103\r\nO 22.368063905 5.668779897 18.581129897\r\nO 22.368063905 7.243570103 5.668779897\r\nO 22.368063905 7.243570103 20.155920103\r\nO 22.368063905 18.581129897 5.668779897\r\nO 22.368063905 18.581129897 20.155920103\r\nO 22.368063905 20.155920103 7.243570103\r\nO 22.368063905 20.155920103 18.581129897\r\nC 2.878937556 6.456175 6.456175\r\nC 2.878937556 6.456175 19.368525\r\nC 2.878937556 19.368525 6.456175\r\nC 2.878937556 19.368525 19.368525\r\nC 6.456175 2.878937556 6.456175\r\nC 6.456175 2.878937556 19.368525\r\nC 6.456175 6.456175 2.878937556\r\nC 6.456175 6.456175 10.033412444\r\nC 6.456175 6.456175 15.791287556\r\nC 6.456175 6.456175 22.945762444\r\nC 6.456175 10.033412444 6.456175\r\nC 6.456175 10.033412444 19.368525\r\nC 6.456175 15.791287556 6.456175\r\nC 6.456175 15.791287556 19.368525\r\nC 6.456175 19.368525 2.878937556\r\nC 6.456175 19.368525 10.033412444\r\nC 6.456175 19.368525 15.791287556\r\nC 6.456175 19.368525 22.945762444\r\nC 6.456175 22.945762444 6.456175\r\nC 6.456175 22.945762444 19.368525\r\nC 10.033412444 6.456175 6.456175\r\nC 10.033412444 6.456175 19.368525\r\nC 10.033412444 19.368525 6.456175\r\nC 10.033412444 19.368525 19.368525\r\nC 15.791287556 6.456175 6.456175\r\nC 15.791287556 6.456175 19.368525\r\nC 15.791287556 19.368525 6.456175\r\nC 15.791287556 19.368525 19.368525\r\nC 19.368525 2.878937556 6.456175\r\nC 19.368525 2.878937556 19.368525\r\nC 19.368525 6.456175 2.878937556\r\nC 19.368525 6.456175 10.033412444\r\nC 19.368525 6.456175 15.791287556\r\nC 19.368525 6.456175 22.945762444\r\nC 19.368525 10.033412444 6.456175\r\nC 19.368525 10.033412444 19.368525\r\nC 19.368525 15.791287556 6.456175\r\nC 19.368525 15.791287556 19.368525\r\nC 19.368525 19.368525 2.878937556\r\nC 19.368525 19.368525 10.033412444\r\nC 19.368525 19.368525 15.791287556\r\nC 19.368525 19.368525 22.945762444\r\nC 19.368525 22.945762444 6.456175\r\nC 19.368525 22.945762444 19.368525\r\nC 22.945762444 6.456175 6.456175\r\nC 22.945762444 6.456175 19.368525\r\nC 22.945762444 19.368525 6.456175\r\nC 22.945762444 19.368525 19.368525\r\nC 1.385495155 6.456175 6.456175\r\nC 1.385495155 6.456175 19.368525\r\nC 1.385495155 19.368525 6.456175\r\nC 1.385495155 19.368525 19.368525\r\nC 6.456175 1.385495155 6.456175\r\nC 6.456175 1.385495155 19.368525\r\nC 6.456175 6.456175 1.385495155\r\nC 6.456175 6.456175 11.526854845\r\nC 6.456175 6.456175 14.297845155\r\nC 6.456175 6.456175 24.439204845\r\nC 6.456175 11.526854845 6.456175\r\nC 6.456175 11.526854845 19.368525\r\nC 6.456175 14.297845155 6.456175\r\nC 6.456175 14.297845155 19.368525\r\nC 6.456175 19.368525 1.385495155\r\nC 6.456175 19.368525 11.526854845\r\nC 6.456175 19.368525 14.297845155\r\nC 6.456175 19.368525 24.439204845\r\nC 6.456175 24.439204845 6.456175\r\nC 6.456175 24.439204845 19.368525\r\nC 11.526854845 6.456175 6.456175\r\nC 11.526854845 6.456175 19.368525\r\nC 11.526854845 19.368525 6.456175\r\nC 11.526854845 19.368525 19.368525\r\nC 14.297845155 6.456175 6.456175\r\nC 14.297845155 6.456175 19.368525\r\nC 14.297845155 19.368525 6.456175\r\nC 14.297845155 19.368525 19.368525\r\nC 19.368525 1.385495155 6.456175\r\nC 19.368525 1.385495155 19.368525\r\nC 19.368525 6.456175 1.385495155\r\nC 19.368525 6.456175 11.526854845\r\nC 19.368525 6.456175 14.297845155\r\nC 19.368525 6.456175 24.439204845\r\nC 19.368525 11.526854845 6.456175\r\nC 19.368525 11.526854845 19.368525\r\nC 19.368525 14.297845155 6.456175\r\nC 19.368525 14.297845155 19.368525\r\nC 19.368525 19.368525 1.385495155\r\nC 19.368525 19.368525 11.526854845\r\nC 19.368525 19.368525 14.297845155\r\nC 19.368525 19.368525 24.439204845\r\nC 19.368525 24.439204845 6.456175\r\nC 19.368525 24.439204845 19.368525\r\nC 24.439204845 6.456175 6.456175\r\nC 24.439204845 6.456175 19.368525\r\nC 24.439204845 19.368525 6.456175\r\nC 24.439204845 19.368525 19.368525\r\nC 0.685129291 5.626427389 7.285922611\r\nC 0.685129291 5.626427389 18.538777389\r\nC 0.685129291 7.285922611 5.626427389\r\nC 0.685129291 7.285922611 20.198272611\r\nC 0.685129291 18.538777389 5.626427389\r\nC 0.685129291 18.538777389 20.198272611\r\nC 0.685129291 20.198272611 7.285922611\r\nC 0.685129291 20.198272611 18.538777389\r\nC 5.626427389 0.685129291 7.285922611\r\nC 5.626427389 0.685129291 18.538777389\r\nC 5.626427389 5.626427389 12.227220709\r\nC 5.626427389 5.626427389 13.597479291\r\nC 5.626427389 7.285922611 0.685129291\r\nC 5.626427389 7.285922611 25.139570709\r\nC 5.626427389 12.227220709 5.626427389\r\nC 5.626427389 12.227220709 20.198272611\r\nC 5.626427389 13.597479291 5.626427389\r\nC 5.626427389 13.597479291 20.198272611\r\nC 5.626427389 18.538777389 0.685129291\r\nC 5.626427389 18.538777389 25.139570709\r\nC 5.626427389 20.198272611 12.227220709\r\nC 5.626427389 20.198272611 13.597479291\r\nC 5.626427389 25.139570709 7.285922611\r\nC 5.626427389 25.139570709 18.538777389\r\nC 7.285922611 0.685129291 5.626427389\r\nC 7.285922611 0.685129291 20.198272611\r\nC 7.285922611 5.626427389 0.685129291\r\nC 7.285922611 5.626427389 25.139570709\r\nC 7.285922611 7.285922611 12.227220709\r\nC 7.285922611 7.285922611 13.597479291\r\nC 7.285922611 12.227220709 7.285922611\r\nC 7.285922611 12.227220709 18.538777389\r\nC 7.285922611 13.597479291 7.285922611\r\nC 7.285922611 13.597479291 18.538777389\r\nC 7.285922611 18.538777389 12.227220709\r\nC 7.285922611 18.538777389 13.597479291\r\nC 7.285922611 20.198272611 0.685129291\r\nC 7.285922611 20.198272611 25.139570709\r\nC 7.285922611 25.139570709 5.626427389\r\nC 7.285922611 25.139570709 20.198272611\r\nC 12.227220709 5.626427389 5.626427389\r\nC 12.227220709 5.626427389 20.198272611\r\nC 12.227220709 7.285922611 7.285922611\r\nC 12.227220709 7.285922611 18.538777389\r\nC 12.227220709 18.538777389 7.285922611\r\nC 12.227220709 18.538777389 18.538777389\r\nC 12.227220709 20.198272611 5.626427389\r\nC 12.227220709 20.198272611 20.198272611\r\nC 13.597479291 5.626427389 5.626427389\r\nC 13.597479291 5.626427389 20.198272611\r\nC 13.597479291 7.285922611 7.285922611\r\nC 13.597479291 7.285922611 18.538777389\r\nC 13.597479291 18.538777389 7.285922611\r\nC 13.597479291 18.538777389 18.538777389\r\nC 13.597479291 20.198272611 5.626427389\r\nC 13.597479291 20.198272611 20.198272611\r\nC 18.538777389 0.685129291 5.626427389\r\nC 18.538777389 0.685129291 20.198272611\r\nC 18.538777389 5.626427389 0.685129291\r\nC 18.538777389 5.626427389 25.139570709\r\nC 18.538777389 7.285922611 12.227220709\r\nC 18.538777389 7.285922611 13.597479291\r\nC 18.538777389 12.227220709 7.285922611\r\nC 18.538777389 12.227220709 18.538777389\r\nC 18.538777389 13.597479291 7.285922611\r\nC 18.538777389 13.597479291 18.538777389\r\nC 18.538777389 18.538777389 12.227220709\r\nC 18.538777389 18.538777389 13.597479291\r\nC 18.538777389 20.198272611 0.685129291\r\nC 18.538777389 20.198272611 25.139570709\r\nC 18.538777389 25.139570709 5.626427389\r\nC 18.538777389 25.139570709 20.198272611\r\nC 20.198272611 0.685129291 7.285922611\r\nC 20.198272611 0.685129291 18.538777389\r\nC 20.198272611 5.626427389 12.227220709\r\nC 20.198272611 5.626427389 13.597479291\r\nC 20.198272611 7.285922611 0.685129291\r\nC 20.198272611 7.285922611 25.139570709\r\nC 20.198272611 12.227220709 5.626427389\r\nC 20.198272611 12.227220709 20.198272611\r\nC 20.198272611 13.597479291 5.626427389\r\nC 20.198272611 13.597479291 20.198272611\r\nC 20.198272611 18.538777389 0.685129291\r\nC 20.198272611 18.538777389 25.139570709\r\nC 20.198272611 20.198272611 12.227220709\r\nC 20.198272611 20.198272611 13.597479291\r\nC 20.198272611 25.139570709 7.285922611\r\nC 20.198272611 25.139570709 18.538777389\r\nC 25.139570709 5.626427389 7.285922611\r\nC 25.139570709 5.626427389 18.538777389\r\nC 25.139570709 7.285922611 5.626427389\r\nC 25.139570709 7.285922611 20.198272611\r\nC 25.139570709 18.538777389 5.626427389\r\nC 25.139570709 18.538777389 20.198272611\r\nC 25.139570709 20.198272611 7.285922611\r\nC 25.139570709 20.198272611 18.538777389\r\nH 1.14403421 5.05389379 7.85845621\r\nH 1.14403421 5.05389379 17.96624379\r\nH 1.14403421 7.85845621 5.05389379\r\nH 1.14403421 7.85845621 20.77080621\r\nH 1.14403421 17.96624379 5.05389379\r\nH 1.14403421 17.96624379 20.77080621\r\nH 1.14403421 20.77080621 7.85845621\r\nH 1.14403421 20.77080621 17.96624379\r\nH 5.05389379 1.14403421 7.85845621\r\nH 5.05389379 1.14403421 17.96624379\r\nH 5.05389379 5.05389379 11.76831579\r\nH 5.05389379 5.05389379 14.05638421\r\nH 5.05389379 7.85845621 1.14403421\r\nH 5.05389379 7.85845621 24.68066579\r\nH 5.05389379 11.76831579 5.05389379\r\nH 5.05389379 11.76831579 20.77080621\r\nH 5.05389379 14.05638421 5.05389379\r\nH 5.05389379 14.05638421 20.77080621\r\nH 5.05389379 17.96624379 1.14403421\r\nH 5.05389379 17.96624379 24.68066579\r\nH 5.05389379 20.77080621 11.76831579\r\nH 5.05389379 20.77080621 14.05638421\r\nH 5.05389379 24.68066579 7.85845621\r\nH 5.05389379 24.68066579 17.96624379\r\nH 7.85845621 1.14403421 5.05389379\r\nH 7.85845621 1.14403421 20.77080621\r\nH 7.85845621 5.05389379 1.14403421\r\nH 7.85845621 5.05389379 24.68066579\r\nH 7.85845621 7.85845621 11.76831579\r\nH 7.85845621 7.85845621 14.05638421\r\nH 7.85845621 11.76831579 7.85845621\r\nH 7.85845621 11.76831579 17.96624379\r\nH 7.85845621 14.05638421 7.85845621\r\nH 7.85845621 14.05638421 17.96624379\r\nH 7.85845621 17.96624379 11.76831579\r\nH 7.85845621 17.96624379 14.05638421\r\nH 7.85845621 20.77080621 1.14403421\r\nH 7.85845621 20.77080621 24.68066579\r\nH 7.85845621 24.68066579 5.05389379\r\nH 7.85845621 24.68066579 20.77080621\r\nH 11.76831579 5.05389379 5.05389379\r\nH 11.76831579 5.05389379 20.77080621\r\nH 11.76831579 7.85845621 7.85845621\r\nH 11.76831579 7.85845621 17.96624379\r\nH 11.76831579 17.96624379 7.85845621\r\nH 11.76831579 17.96624379 17.96624379\r\nH 11.76831579 20.77080621 5.05389379\r\nH 11.76831579 20.77080621 20.77080621\r\nH 14.05638421 5.05389379 5.05389379\r\nH 14.05638421 5.05389379 20.77080621\r\nH 14.05638421 7.85845621 7.85845621\r\nH 14.05638421 7.85845621 17.96624379\r\nH 14.05638421 17.96624379 7.85845621\r\nH 14.05638421 17.96624379 17.96624379\r\nH 14.05638421 20.77080621 5.05389379\r\nH 14.05638421 20.77080621 20.77080621\r\nH 17.96624379 1.14403421 5.05389379\r\nH 17.96624379 1.14403421 20.77080621\r\nH 17.96624379 5.05389379 1.14403421\r\nH 17.96624379 5.05389379 24.68066579\r\nH 17.96624379 7.85845621 11.76831579\r\nH 17.96624379 7.85845621 14.05638421\r\nH 17.96624379 11.76831579 7.85845621\r\nH 17.96624379 11.76831579 17.96624379\r\nH 17.96624379 14.05638421 7.85845621\r\nH 17.96624379 14.05638421 17.96624379\r\nH 17.96624379 17.96624379 11.76831579\r\nH 17.96624379 17.96624379 14.05638421\r\nH 17.96624379 20.77080621 1.14403421\r\nH 17.96624379 20.77080621 24.68066579\r\nH 17.96624379 24.68066579 5.05389379\r\nH 17.96624379 24.68066579 20.77080621\r\nH 20.77080621 1.14403421 7.85845621\r\nH 20.77080621 1.14403421 17.96624379\r\nH 20.77080621 5.05389379 11.76831579\r\nH 20.77080621 5.05389379 14.05638421\r\nH 20.77080621 7.85845621 1.14403421\r\nH 20.77080621 7.85845621 24.68066579\r\nH 20.77080621 11.76831579 5.05389379\r\nH 20.77080621 11.76831579 20.77080621\r\nH 20.77080621 14.05638421 5.05389379\r\nH 20.77080621 14.05638421 20.77080621\r\nH 20.77080621 17.96624379 1.14403421\r\nH 20.77080621 17.96624379 24.68066579\r\nH 20.77080621 20.77080621 11.76831579\r\nH 20.77080621 20.77080621 14.05638421\r\nH 20.77080621 24.68066579 7.85845621\r\nH 20.77080621 24.68066579 17.96624379\r\nH 24.68066579 5.05389379 7.85845621\r\nH 24.68066579 5.05389379 17.96624379\r\nH 24.68066579 7.85845621 5.05389379\r\nH 24.68066579 7.85845621 20.77080621\r\nH 24.68066579 17.96624379 5.05389379\r\nH 24.68066579 17.96624379 20.77080621\r\nH 24.68066579 20.77080621 7.85845621\r\nH 24.68066579 20.77080621 17.96624379\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12.1302",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "24.4544",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "30.6102",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "42.3563",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-CNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is one vancomycin monomer, PDB 1AA5 chain A (132 atoms, major altLoc/occupancy only; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 vancomycin单体（chain A）；132 个原子，坐标单位 Å，仅主占位/主构象；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "CNP007-1AA5-chainA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "132\r\nVancomycin 1AA5 chainA, major altLoc/occupancy only, angstrom\r\nN 10.127 8.826 -4.03\r\nC 10.446 10.141 -4.639\r\nC 8.858 8.812 -3.244\r\nC 7.715 9.246 -4.189\r\nO 7.547 8.688 -5.252\r\nC 8.552 7.426 -2.726\r\nC 9.587 6.788 -1.78\r\nC 9.125 5.395 -1.392\r\nC 9.835 7.62 -0.583\r\nH 10.887 8.557 -3.424\r\nH 11.271 10.077 -5.126\r\nH 10.533 10.801 -3.948\r\nH 9.74 10.396 -5.238\r\nH 8.925 9.44 -2.494\r\nH 8.44 6.837 -3.489\r\nH 7.701 7.46 -2.261\r\nH 10.432 6.702 -2.269\r\nH 8.972 4.876 -2.185\r\nH 8.311 5.457 -0.888\r\nH 9.801 4.971 -0.858\r\nH 10.127 8.494 -0.855\r\nH 10.515 7.21 -0.043\r\nH 9.025 7.698 -0.073\r\nH 10.062 8.136 -4.764\r\nN 6.894 10.223 -3.742\r\nC 5.824 10.725 -4.588\r\nC 4.491 9.963 -4.459\r\nO 3.547 10.291 -5.161\r\nC 5.544 12.254 -4.376\r\nO 6.731 13.006 -4.505\r\nC 4.868 12.532 -3.066\r\nC 3.489 12.76 -3.038\r\nC 5.577 12.564 -1.859\r\nC 2.836 12.923 -1.83\r\nCL 1.135 13.234 -1.833\r\nC 4.904 12.695 -0.669\r\nC 3.523 12.845 -0.655\r\nO 2.866 12.894 0.557\r\nH 7.005 10.548 -2.953\r\nH 6.123 10.618 -5.515\r\nH 4.935 12.542 -5.088\r\nH 7.083 12.839 -5.227\r\nH 3.009 12.801 -3.834\r\nH 6.505 12.495 -1.863\r\nH 5.375 12.684 0.132\r\nN 4.449 8.963 -3.584\r\nC 3.334 8.009 -3.566\r\nC 2.302 8.294 -2.468\r\nO 1.165 8.692 -2.806\r\nC 3.841 6.575 -3.629\r\nC 4.943 6.227 -2.632\r\nO 5.227 6.979 -1.683\r\nN 5.555 5.076 -2.861\r\nH 5.089 8.874 -3.016\r\nH 2.859 8.152 -4.411\r\nH 3.092 5.978 -3.479\r\nH 4.173 6.406 -4.525\r\nH 5.321 4.591 -3.531\r\nH 6.186 4.813 -2.339\r\nN 2.669 8.1 -1.216\r\nC 1.695 8.107 -0.115\r\nC 1.887 6.862 0.723\r\nO 2.988 6.455 1.041\r\nC 1.72 9.379 0.737\r\nC 1.139 9.408 1.973\r\nC 1.145 10.574 2.737\r\nC 1.693 11.737 2.232\r\nO 1.794 12.903 3.004\r\nC 2.275 11.709 0.977\r\nC 2.29 10.55 0.247\r\nH 3.5 7.966 -1.039\r\nH 0.804 8.049 -0.519\r\nH 0.734 8.641 2.309\r\nH 2.69 10.545 -0.592\r\nN 0.734 6.293 1.15\r\nC 0.718 5.365 2.242\r\nC -0.686 5.468 2.895\r\nO -1.628 5.852 2.205\r\nC 0.93 3.872 1.977\r\nC 1.938 3.204 2.649\r\nC 2.017 1.808 2.682\r\nC 1.043 1.086 1.989\r\nO 1.089 -0.286 2.062\r\nC 0.08 1.751 1.263\r\nC 0.018 3.128 1.238\r\nH -0.005 6.492 0.758\r\nH 1.384 5.656 2.9\r\nH 2.586 3.701 3.094\r\nH 0.476 -0.604 1.619\r\nH -0.543 1.26 0.779\r\nH -0.631 3.558 0.73\r\nN -0.841 5.066 4.156\r\nC 0.153 4.642 5.068\r\nO 0.644 10.625 4.037\r\nC -0.746 8.966 5.056\r\nC 1.622 8.643 5.053\r\nC 0.519 9.416 4.702\r\nC 0.211 6.945 5.959\r\nC -0.899 7.756 5.699\r\nC 1.487 7.428 5.657\r\nC 0.072 5.496 6.406\r\nCL 3.25 9.214 4.691\r\nO -0.998 2.532 5.187\r\nC 0.071 3.128 5.32\r\nO -1.15 5.269 7.029\r\nH -1.648 5.066 4.453\r\nH 1.024 4.823 4.657\r\nH -1.493 9.483 4.859\r\nH -1.747 7.477 5.961\r\nH 2.24 6.923 5.867\r\nH 0.808 5.255 7.006\r\nH -1.198 4.483 7.258\r\nN 1.23 2.52 5.592\r\nO 4.706 1.291 1.808\r\nC 4.329 0.915 3.056\r\nC 3.042 1.139 3.548\r\nC 5.301 0.282 3.852\r\nC 5.003 -0.095 5.14\r\nO 5.881 -0.668 5.984\r\nC 3.708 0.139 5.646\r\nC 2.747 0.764 4.868\r\nC 1.363 1.079 5.448\r\nC 1.094 0.328 6.804\r\nO 0.845 -0.905 6.648\r\nO 1.168 0.946 7.841\r\nH 1.904 2.986 5.854\r\nH 0.691 0.779 4.801\r\nH 4.075 1.65 1.428\r\nH 6.148 0.117 3.505\r\nH 6.605 -0.752 5.609\r\nH 3.497 -0.129 6.511\r\nH 1.007 0.445 8.47\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.4797",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "14.1390",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "18.7763",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "19.5698",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-CNP008",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the second vancomycin monomer of the same asymmetric dimer, PDB 1AA5 chain B (132 atoms, major altLoc/occupancy only; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 vancomycin单体（chain B）；132 个原子，坐标单位 Å，仅主占位/主构象；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "CNP008-1AA5-chainB.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "132\r\nVancomycin 1AA5 chainB, major altLoc/occupancy only, angstrom\r\nN -13.037 5.891 5.853\r\nC -13.354 6.417 7.214\r\nC -11.668 6.227 5.337\r\nC -10.68 5.657 6.376\r\nO -10.897 4.548 6.863\r\nC -11.446 5.565 4.011\r\nC -12.393 6.014 2.858\r\nC -12.226 7.481 2.576\r\nC -12.173 5.19 1.667\r\nH -13.719 6.252 5.204\r\nH -14.244 6.153 7.459\r\nH -13.294 7.375 7.209\r\nH -12.728 6.06 7.849\r\nH -11.56 7.197 5.259\r\nH -11.542 4.607 4.129\r\nH -10.531 5.734 3.736\r\nH -13.316 5.869 3.156\r\nH -12.378 7.981 3.381\r\nH -12.857 7.752 1.906\r\nH -11.334 7.646 2.261\r\nH -12.287 4.264 1.893\r\nH -11.281 5.332 1.34\r\nH -12.805 5.434 0.988\r\nH -13.135 4.887 5.868\r\nN -9.595 6.386 6.606\r\nC -8.669 5.974 7.643\r\nC -7.321 5.484 7.113\r\nO -6.505 5.032 7.901\r\nC -8.491 7.054 8.771\r\nO -9.827 7.384 9.115\r\nC -7.687 8.239 8.256\r\nC -6.305 8.231 8.391\r\nC -8.286 9.252 7.515\r\nC -5.54 9.185 7.786\r\nCL -3.792 9.156 7.959\r\nC -7.501 10.204 6.908\r\nC -6.125 10.166 6.999\r\nO -5.357 11.066 6.297\r\nH -9.442 7.096 6.145\r\nH -9.083 5.2 8.078\r\nH -8.037 6.656 9.543\r\nH -10.213 6.713 9.385\r\nH -5.896 7.568 8.899\r\nH -9.212 9.286 7.431\r\nH -7.906 10.889 6.426\r\nN -7.112 5.548 5.815\r\nC -5.998 4.818 5.152\r\nC -4.911 5.737 4.594\r\nO -3.748 5.59 4.929\r\nC -6.618 3.973 4.021\r\nC -7.785 3.135 4.507\r\nO -8.787 2.996 3.707\r\nN -7.794 2.711 5.722\r\nH -7.638 6.029 5.334\r\nH -5.59 4.213 5.805\r\nH -6.922 4.562 3.313\r\nH -5.939 3.388 3.651\r\nH -7.104 2.825 6.222\r\nH -8.49 2.314 6.034\r\nN -5.305 6.651 3.696\r\nC -4.357 7.502 2.979\r\nC -4.675 7.472 1.489\r\nO -5.801 7.694 1.08\r\nC -4.356 8.956 3.449\r\nC -3.777 9.919 2.663\r\nC -3.797 11.247 3.031\r\nC -4.341 11.623 4.272\r\nO -4.46 12.901 4.633\r\nC -4.877 10.637 5.059\r\nC -4.907 9.32 4.661\r\nH -6.145 6.741 3.537\r\nH -3.457 7.136 3.109\r\nH -3.363 9.671 1.868\r\nH -5.297 8.677 5.207\r\nN -3.61 7.273 0.699\r\nC -3.568 7.559 -0.722\r\nC -2.155 8.154 -0.982\r\nO -1.274 7.96 -0.146\r\nC -3.685 6.352 -1.651\r\nC -4.596 6.395 -2.683\r\nC -4.575 5.431 -3.71\r\nC -3.674 4.397 -3.602\r\nO -3.656 3.446 -4.61\r\nC -2.786 4.305 -2.548\r\nC -2.804 5.296 -1.57\r\nH -2.899 6.953 1.062\r\nH -4.254 8.22 -0.948\r\nH -5.235 7.071 -2.703\r\nH -3.085 2.881 -4.443\r\nH -2.189 3.594 -2.491\r\nH -2.213 5.245 -0.854\r\nN -1.902 8.752 -2.152\r\nC -2.859 9.265 -3.103\r\nO -3.27 12.255 2.245\r\nC -1.886 11.848 0.322\r\nC -4.262 11.822 0.098\r\nC -3.16 11.966 0.892\r\nC -2.897 11.345 -1.809\r\nC -1.763 11.54 -0.991\r\nC -4.142 11.521 -1.24\r\nC -2.749 10.819 -3.21\r\nCL -5.874 11.966 0.776\r\nO -1.604 8.141 -4.814\r\nC -2.725 8.504 -4.422\r\nO -1.529 11.143 -3.827\r\nH -1.073 8.84 -2.362\r\nH -3.75 9.065 -2.748\r\nH -1.128 11.98 0.844\r\nH -0.914 11.456 -1.362\r\nH -4.905 11.435 -1.764\r\nH -3.487 11.157 -3.76\r\nH -1.07 11.583 -3.309\r\nN -3.857 8.19 -5.027\r\nO -6.947 4.049 -3.745\r\nC -6.762 4.9 -4.778\r\nC -5.537 5.58 -4.858\r\nC -7.697 5.012 -5.788\r\nC -7.456 5.863 -6.892\r\nO -8.36 6.001 -7.86\r\nC -6.235 6.54 -6.918\r\nC -5.29 6.418 -5.928\r\nC -3.95 7.169 -6.078\r\nC -3.708 7.803 -7.496\r\nO -3.359 7.033 -8.352\r\nO -3.957 8.963 -7.662\r\nH -4.574 8.603 -4.794\r\nH -3.231 6.521 -5.92\r\nH -7.661 3.657 -3.838\r\nH -8.488 4.525 -5.743\r\nH -9.014 5.537 -7.691\r\nH -6.054 7.1 -7.638\r\nH -3.789 9.17 -8.438\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "19.2646",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "20.8503",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "21.6646",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "24.7607",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-CNP009",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full vancomycin asymmetric dimer, PDB 1AA5 chains A+B (264 atoms: chain A as rows 1–132, chain B as rows 133–264; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 完整不对称二聚体（chain A+B）；264 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "CNP009-1AA5-dimer.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "264\r\nVancomycin 1AA5 dimer, major altLoc/occupancy only, angstrom\r\nN 10.127 8.826 -4.03\r\nC 10.446 10.141 -4.639\r\nC 8.858 8.812 -3.244\r\nC 7.715 9.246 -4.189\r\nO 7.547 8.688 -5.252\r\nC 8.552 7.426 -2.726\r\nC 9.587 6.788 -1.78\r\nC 9.125 5.395 -1.392\r\nC 9.835 7.62 -0.583\r\nH 10.887 8.557 -3.424\r\nH 11.271 10.077 -5.126\r\nH 10.533 10.801 -3.948\r\nH 9.74 10.396 -5.238\r\nH 8.925 9.44 -2.494\r\nH 8.44 6.837 -3.489\r\nH 7.701 7.46 -2.261\r\nH 10.432 6.702 -2.269\r\nH 8.972 4.876 -2.185\r\nH 8.311 5.457 -0.888\r\nH 9.801 4.971 -0.858\r\nH 10.127 8.494 -0.855\r\nH 10.515 7.21 -0.043\r\nH 9.025 7.698 -0.073\r\nH 10.062 8.136 -4.764\r\nN 6.894 10.223 -3.742\r\nC 5.824 10.725 -4.588\r\nC 4.491 9.963 -4.459\r\nO 3.547 10.291 -5.161\r\nC 5.544 12.254 -4.376\r\nO 6.731 13.006 -4.505\r\nC 4.868 12.532 -3.066\r\nC 3.489 12.76 -3.038\r\nC 5.577 12.564 -1.859\r\nC 2.836 12.923 -1.83\r\nCL 1.135 13.234 -1.833\r\nC 4.904 12.695 -0.669\r\nC 3.523 12.845 -0.655\r\nO 2.866 12.894 0.557\r\nH 7.005 10.548 -2.953\r\nH 6.123 10.618 -5.515\r\nH 4.935 12.542 -5.088\r\nH 7.083 12.839 -5.227\r\nH 3.009 12.801 -3.834\r\nH 6.505 12.495 -1.863\r\nH 5.375 12.684 0.132\r\nN 4.449 8.963 -3.584\r\nC 3.334 8.009 -3.566\r\nC 2.302 8.294 -2.468\r\nO 1.165 8.692 -2.806\r\nC 3.841 6.575 -3.629\r\nC 4.943 6.227 -2.632\r\nO 5.227 6.979 -1.683\r\nN 5.555 5.076 -2.861\r\nH 5.089 8.874 -3.016\r\nH 2.859 8.152 -4.411\r\nH 3.092 5.978 -3.479\r\nH 4.173 6.406 -4.525\r\nH 5.321 4.591 -3.531\r\nH 6.186 4.813 -2.339\r\nN 2.669 8.1 -1.216\r\nC 1.695 8.107 -0.115\r\nC 1.887 6.862 0.723\r\nO 2.988 6.455 1.041\r\nC 1.72 9.379 0.737\r\nC 1.139 9.408 1.973\r\nC 1.145 10.574 2.737\r\nC 1.693 11.737 2.232\r\nO 1.794 12.903 3.004\r\nC 2.275 11.709 0.977\r\nC 2.29 10.55 0.247\r\nH 3.5 7.966 -1.039\r\nH 0.804 8.049 -0.519\r\nH 0.734 8.641 2.309\r\nH 2.69 10.545 -0.592\r\nN 0.734 6.293 1.15\r\nC 0.718 5.365 2.242\r\nC -0.686 5.468 2.895\r\nO -1.628 5.852 2.205\r\nC 0.93 3.872 1.977\r\nC 1.938 3.204 2.649\r\nC 2.017 1.808 2.682\r\nC 1.043 1.086 1.989\r\nO 1.089 -0.286 2.062\r\nC 0.08 1.751 1.263\r\nC 0.018 3.128 1.238\r\nH -0.005 6.492 0.758\r\nH 1.384 5.656 2.9\r\nH 2.586 3.701 3.094\r\nH 0.476 -0.604 1.619\r\nH -0.543 1.26 0.779\r\nH -0.631 3.558 0.73\r\nN -0.841 5.066 4.156\r\nC 0.153 4.642 5.068\r\nO 0.644 10.625 4.037\r\nC -0.746 8.966 5.056\r\nC 1.622 8.643 5.053\r\nC 0.519 9.416 4.702\r\nC 0.211 6.945 5.959\r\nC -0.899 7.756 5.699\r\nC 1.487 7.428 5.657\r\nC 0.072 5.496 6.406\r\nCL 3.25 9.214 4.691\r\nO -0.998 2.532 5.187\r\nC 0.071 3.128 5.32\r\nO -1.15 5.269 7.029\r\nH -1.648 5.066 4.453\r\nH 1.024 4.823 4.657\r\nH -1.493 9.483 4.859\r\nH -1.747 7.477 5.961\r\nH 2.24 6.923 5.867\r\nH 0.808 5.255 7.006\r\nH -1.198 4.483 7.258\r\nN 1.23 2.52 5.592\r\nO 4.706 1.291 1.808\r\nC 4.329 0.915 3.056\r\nC 3.042 1.139 3.548\r\nC 5.301 0.282 3.852\r\nC 5.003 -0.095 5.14\r\nO 5.881 -0.668 5.984\r\nC 3.708 0.139 5.646\r\nC 2.747 0.764 4.868\r\nC 1.363 1.079 5.448\r\nC 1.094 0.328 6.804\r\nO 0.845 -0.905 6.648\r\nO 1.168 0.946 7.841\r\nH 1.904 2.986 5.854\r\nH 0.691 0.779 4.801\r\nH 4.075 1.65 1.428\r\nH 6.148 0.117 3.505\r\nH 6.605 -0.752 5.609\r\nH 3.497 -0.129 6.511\r\nH 1.007 0.445 8.47\r\nN -13.037 5.891 5.853\r\nC -13.354 6.417 7.214\r\nC -11.668 6.227 5.337\r\nC -10.68 5.657 6.376\r\nO -10.897 4.548 6.863\r\nC -11.446 5.565 4.011\r\nC -12.393 6.014 2.858\r\nC -12.226 7.481 2.576\r\nC -12.173 5.19 1.667\r\nH -13.719 6.252 5.204\r\nH -14.244 6.153 7.459\r\nH -13.294 7.375 7.209\r\nH -12.728 6.06 7.849\r\nH -11.56 7.197 5.259\r\nH -11.542 4.607 4.129\r\nH -10.531 5.734 3.736\r\nH -13.316 5.869 3.156\r\nH -12.378 7.981 3.381\r\nH -12.857 7.752 1.906\r\nH -11.334 7.646 2.261\r\nH -12.287 4.264 1.893\r\nH -11.281 5.332 1.34\r\nH -12.805 5.434 0.988\r\nH -13.135 4.887 5.868\r\nN -9.595 6.386 6.606\r\nC -8.669 5.974 7.643\r\nC -7.321 5.484 7.113\r\nO -6.505 5.032 7.901\r\nC -8.491 7.054 8.771\r\nO -9.827 7.384 9.115\r\nC -7.687 8.239 8.256\r\nC -6.305 8.231 8.391\r\nC -8.286 9.252 7.515\r\nC -5.54 9.185 7.786\r\nCL -3.792 9.156 7.959\r\nC -7.501 10.204 6.908\r\nC -6.125 10.166 6.999\r\nO -5.357 11.066 6.297\r\nH -9.442 7.096 6.145\r\nH -9.083 5.2 8.078\r\nH -8.037 6.656 9.543\r\nH -10.213 6.713 9.385\r\nH -5.896 7.568 8.899\r\nH -9.212 9.286 7.431\r\nH -7.906 10.889 6.426\r\nN -7.112 5.548 5.815\r\nC -5.998 4.818 5.152\r\nC -4.911 5.737 4.594\r\nO -3.748 5.59 4.929\r\nC -6.618 3.973 4.021\r\nC -7.785 3.135 4.507\r\nO -8.787 2.996 3.707\r\nN -7.794 2.711 5.722\r\nH -7.638 6.029 5.334\r\nH -5.59 4.213 5.805\r\nH -6.922 4.562 3.313\r\nH -5.939 3.388 3.651\r\nH -7.104 2.825 6.222\r\nH -8.49 2.314 6.034\r\nN -5.305 6.651 3.696\r\nC -4.357 7.502 2.979\r\nC -4.675 7.472 1.489\r\nO -5.801 7.694 1.08\r\nC -4.356 8.956 3.449\r\nC -3.777 9.919 2.663\r\nC -3.797 11.247 3.031\r\nC -4.341 11.623 4.272\r\nO -4.46 12.901 4.633\r\nC -4.877 10.637 5.059\r\nC -4.907 9.32 4.661\r\nH -6.145 6.741 3.537\r\nH -3.457 7.136 3.109\r\nH -3.363 9.671 1.868\r\nH -5.297 8.677 5.207\r\nN -3.61 7.273 0.699\r\nC -3.568 7.559 -0.722\r\nC -2.155 8.154 -0.982\r\nO -1.274 7.96 -0.146\r\nC -3.685 6.352 -1.651\r\nC -4.596 6.395 -2.683\r\nC -4.575 5.431 -3.71\r\nC -3.674 4.397 -3.602\r\nO -3.656 3.446 -4.61\r\nC -2.786 4.305 -2.548\r\nC -2.804 5.296 -1.57\r\nH -2.899 6.953 1.062\r\nH -4.254 8.22 -0.948\r\nH -5.235 7.071 -2.703\r\nH -3.085 2.881 -4.443\r\nH -2.189 3.594 -2.491\r\nH -2.213 5.245 -0.854\r\nN -1.902 8.752 -2.152\r\nC -2.859 9.265 -3.103\r\nO -3.27 12.255 2.245\r\nC -1.886 11.848 0.322\r\nC -4.262 11.822 0.098\r\nC -3.16 11.966 0.892\r\nC -2.897 11.345 -1.809\r\nC -1.763 11.54 -0.991\r\nC -4.142 11.521 -1.24\r\nC -2.749 10.819 -3.21\r\nCL -5.874 11.966 0.776\r\nO -1.604 8.141 -4.814\r\nC -2.725 8.504 -4.422\r\nO -1.529 11.143 -3.827\r\nH -1.073 8.84 -2.362\r\nH -3.75 9.065 -2.748\r\nH -1.128 11.98 0.844\r\nH -0.914 11.456 -1.362\r\nH -4.905 11.435 -1.764\r\nH -3.487 11.157 -3.76\r\nH -1.07 11.583 -3.309\r\nN -3.857 8.19 -5.027\r\nO -6.947 4.049 -3.745\r\nC -6.762 4.9 -4.778\r\nC -5.537 5.58 -4.858\r\nC -7.697 5.012 -5.788\r\nC -7.456 5.863 -6.892\r\nO -8.36 6.001 -7.86\r\nC -6.235 6.54 -6.918\r\nC -5.29 6.418 -5.928\r\nC -3.95 7.169 -6.078\r\nC -3.708 7.803 -7.496\r\nO -3.359 7.033 -8.352\r\nO -3.957 8.963 -7.662\r\nH -4.574 8.603 -4.794\r\nH -3.231 6.521 -5.92\r\nH -7.661 3.657 -3.838\r\nH -8.488 4.525 -5.743\r\nH -9.014 5.537 -7.691\r\nH -6.054 7.1 -7.638\r\nH -3.789 9.17 -8.438\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "26.8478",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "28.7192",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "28.8050",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "34.2672",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-CNP011",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full vancomycin asymmetric dimer, PDB 1AA5 chains A+B (264 atoms: chain A as rows 1–132, chain B as rows 133–264; angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 完整二聚体；264 个原子，Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "inputs": [
    {
     "name": "CNP011-1AA5-dimer.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "264\r\nVancomycin 1AA5 dimer, major altLoc/occupancy only, angstrom\r\nN 10.127 8.826 -4.03\r\nC 10.446 10.141 -4.639\r\nC 8.858 8.812 -3.244\r\nC 7.715 9.246 -4.189\r\nO 7.547 8.688 -5.252\r\nC 8.552 7.426 -2.726\r\nC 9.587 6.788 -1.78\r\nC 9.125 5.395 -1.392\r\nC 9.835 7.62 -0.583\r\nH 10.887 8.557 -3.424\r\nH 11.271 10.077 -5.126\r\nH 10.533 10.801 -3.948\r\nH 9.74 10.396 -5.238\r\nH 8.925 9.44 -2.494\r\nH 8.44 6.837 -3.489\r\nH 7.701 7.46 -2.261\r\nH 10.432 6.702 -2.269\r\nH 8.972 4.876 -2.185\r\nH 8.311 5.457 -0.888\r\nH 9.801 4.971 -0.858\r\nH 10.127 8.494 -0.855\r\nH 10.515 7.21 -0.043\r\nH 9.025 7.698 -0.073\r\nH 10.062 8.136 -4.764\r\nN 6.894 10.223 -3.742\r\nC 5.824 10.725 -4.588\r\nC 4.491 9.963 -4.459\r\nO 3.547 10.291 -5.161\r\nC 5.544 12.254 -4.376\r\nO 6.731 13.006 -4.505\r\nC 4.868 12.532 -3.066\r\nC 3.489 12.76 -3.038\r\nC 5.577 12.564 -1.859\r\nC 2.836 12.923 -1.83\r\nCL 1.135 13.234 -1.833\r\nC 4.904 12.695 -0.669\r\nC 3.523 12.845 -0.655\r\nO 2.866 12.894 0.557\r\nH 7.005 10.548 -2.953\r\nH 6.123 10.618 -5.515\r\nH 4.935 12.542 -5.088\r\nH 7.083 12.839 -5.227\r\nH 3.009 12.801 -3.834\r\nH 6.505 12.495 -1.863\r\nH 5.375 12.684 0.132\r\nN 4.449 8.963 -3.584\r\nC 3.334 8.009 -3.566\r\nC 2.302 8.294 -2.468\r\nO 1.165 8.692 -2.806\r\nC 3.841 6.575 -3.629\r\nC 4.943 6.227 -2.632\r\nO 5.227 6.979 -1.683\r\nN 5.555 5.076 -2.861\r\nH 5.089 8.874 -3.016\r\nH 2.859 8.152 -4.411\r\nH 3.092 5.978 -3.479\r\nH 4.173 6.406 -4.525\r\nH 5.321 4.591 -3.531\r\nH 6.186 4.813 -2.339\r\nN 2.669 8.1 -1.216\r\nC 1.695 8.107 -0.115\r\nC 1.887 6.862 0.723\r\nO 2.988 6.455 1.041\r\nC 1.72 9.379 0.737\r\nC 1.139 9.408 1.973\r\nC 1.145 10.574 2.737\r\nC 1.693 11.737 2.232\r\nO 1.794 12.903 3.004\r\nC 2.275 11.709 0.977\r\nC 2.29 10.55 0.247\r\nH 3.5 7.966 -1.039\r\nH 0.804 8.049 -0.519\r\nH 0.734 8.641 2.309\r\nH 2.69 10.545 -0.592\r\nN 0.734 6.293 1.15\r\nC 0.718 5.365 2.242\r\nC -0.686 5.468 2.895\r\nO -1.628 5.852 2.205\r\nC 0.93 3.872 1.977\r\nC 1.938 3.204 2.649\r\nC 2.017 1.808 2.682\r\nC 1.043 1.086 1.989\r\nO 1.089 -0.286 2.062\r\nC 0.08 1.751 1.263\r\nC 0.018 3.128 1.238\r\nH -0.005 6.492 0.758\r\nH 1.384 5.656 2.9\r\nH 2.586 3.701 3.094\r\nH 0.476 -0.604 1.619\r\nH -0.543 1.26 0.779\r\nH -0.631 3.558 0.73\r\nN -0.841 5.066 4.156\r\nC 0.153 4.642 5.068\r\nO 0.644 10.625 4.037\r\nC -0.746 8.966 5.056\r\nC 1.622 8.643 5.053\r\nC 0.519 9.416 4.702\r\nC 0.211 6.945 5.959\r\nC -0.899 7.756 5.699\r\nC 1.487 7.428 5.657\r\nC 0.072 5.496 6.406\r\nCL 3.25 9.214 4.691\r\nO -0.998 2.532 5.187\r\nC 0.071 3.128 5.32\r\nO -1.15 5.269 7.029\r\nH -1.648 5.066 4.453\r\nH 1.024 4.823 4.657\r\nH -1.493 9.483 4.859\r\nH -1.747 7.477 5.961\r\nH 2.24 6.923 5.867\r\nH 0.808 5.255 7.006\r\nH -1.198 4.483 7.258\r\nN 1.23 2.52 5.592\r\nO 4.706 1.291 1.808\r\nC 4.329 0.915 3.056\r\nC 3.042 1.139 3.548\r\nC 5.301 0.282 3.852\r\nC 5.003 -0.095 5.14\r\nO 5.881 -0.668 5.984\r\nC 3.708 0.139 5.646\r\nC 2.747 0.764 4.868\r\nC 1.363 1.079 5.448\r\nC 1.094 0.328 6.804\r\nO 0.845 -0.905 6.648\r\nO 1.168 0.946 7.841\r\nH 1.904 2.986 5.854\r\nH 0.691 0.779 4.801\r\nH 4.075 1.65 1.428\r\nH 6.148 0.117 3.505\r\nH 6.605 -0.752 5.609\r\nH 3.497 -0.129 6.511\r\nH 1.007 0.445 8.47\r\nN -13.037 5.891 5.853\r\nC -13.354 6.417 7.214\r\nC -11.668 6.227 5.337\r\nC -10.68 5.657 6.376\r\nO -10.897 4.548 6.863\r\nC -11.446 5.565 4.011\r\nC -12.393 6.014 2.858\r\nC -12.226 7.481 2.576\r\nC -12.173 5.19 1.667\r\nH -13.719 6.252 5.204\r\nH -14.244 6.153 7.459\r\nH -13.294 7.375 7.209\r\nH -12.728 6.06 7.849\r\nH -11.56 7.197 5.259\r\nH -11.542 4.607 4.129\r\nH -10.531 5.734 3.736\r\nH -13.316 5.869 3.156\r\nH -12.378 7.981 3.381\r\nH -12.857 7.752 1.906\r\nH -11.334 7.646 2.261\r\nH -12.287 4.264 1.893\r\nH -11.281 5.332 1.34\r\nH -12.805 5.434 0.988\r\nH -13.135 4.887 5.868\r\nN -9.595 6.386 6.606\r\nC -8.669 5.974 7.643\r\nC -7.321 5.484 7.113\r\nO -6.505 5.032 7.901\r\nC -8.491 7.054 8.771\r\nO -9.827 7.384 9.115\r\nC -7.687 8.239 8.256\r\nC -6.305 8.231 8.391\r\nC -8.286 9.252 7.515\r\nC -5.54 9.185 7.786\r\nCL -3.792 9.156 7.959\r\nC -7.501 10.204 6.908\r\nC -6.125 10.166 6.999\r\nO -5.357 11.066 6.297\r\nH -9.442 7.096 6.145\r\nH -9.083 5.2 8.078\r\nH -8.037 6.656 9.543\r\nH -10.213 6.713 9.385\r\nH -5.896 7.568 8.899\r\nH -9.212 9.286 7.431\r\nH -7.906 10.889 6.426\r\nN -7.112 5.548 5.815\r\nC -5.998 4.818 5.152\r\nC -4.911 5.737 4.594\r\nO -3.748 5.59 4.929\r\nC -6.618 3.973 4.021\r\nC -7.785 3.135 4.507\r\nO -8.787 2.996 3.707\r\nN -7.794 2.711 5.722\r\nH -7.638 6.029 5.334\r\nH -5.59 4.213 5.805\r\nH -6.922 4.562 3.313\r\nH -5.939 3.388 3.651\r\nH -7.104 2.825 6.222\r\nH -8.49 2.314 6.034\r\nN -5.305 6.651 3.696\r\nC -4.357 7.502 2.979\r\nC -4.675 7.472 1.489\r\nO -5.801 7.694 1.08\r\nC -4.356 8.956 3.449\r\nC -3.777 9.919 2.663\r\nC -3.797 11.247 3.031\r\nC -4.341 11.623 4.272\r\nO -4.46 12.901 4.633\r\nC -4.877 10.637 5.059\r\nC -4.907 9.32 4.661\r\nH -6.145 6.741 3.537\r\nH -3.457 7.136 3.109\r\nH -3.363 9.671 1.868\r\nH -5.297 8.677 5.207\r\nN -3.61 7.273 0.699\r\nC -3.568 7.559 -0.722\r\nC -2.155 8.154 -0.982\r\nO -1.274 7.96 -0.146\r\nC -3.685 6.352 -1.651\r\nC -4.596 6.395 -2.683\r\nC -4.575 5.431 -3.71\r\nC -3.674 4.397 -3.602\r\nO -3.656 3.446 -4.61\r\nC -2.786 4.305 -2.548\r\nC -2.804 5.296 -1.57\r\nH -2.899 6.953 1.062\r\nH -4.254 8.22 -0.948\r\nH -5.235 7.071 -2.703\r\nH -3.085 2.881 -4.443\r\nH -2.189 3.594 -2.491\r\nH -2.213 5.245 -0.854\r\nN -1.902 8.752 -2.152\r\nC -2.859 9.265 -3.103\r\nO -3.27 12.255 2.245\r\nC -1.886 11.848 0.322\r\nC -4.262 11.822 0.098\r\nC -3.16 11.966 0.892\r\nC -2.897 11.345 -1.809\r\nC -1.763 11.54 -0.991\r\nC -4.142 11.521 -1.24\r\nC -2.749 10.819 -3.21\r\nCL -5.874 11.966 0.776\r\nO -1.604 8.141 -4.814\r\nC -2.725 8.504 -4.422\r\nO -1.529 11.143 -3.827\r\nH -1.073 8.84 -2.362\r\nH -3.75 9.065 -2.748\r\nH -1.128 11.98 0.844\r\nH -0.914 11.456 -1.362\r\nH -4.905 11.435 -1.764\r\nH -3.487 11.157 -3.76\r\nH -1.07 11.583 -3.309\r\nN -3.857 8.19 -5.027\r\nO -6.947 4.049 -3.745\r\nC -6.762 4.9 -4.778\r\nC -5.537 5.58 -4.858\r\nC -7.697 5.012 -5.788\r\nC -7.456 5.863 -6.892\r\nO -8.36 6.001 -7.86\r\nC -6.235 6.54 -6.918\r\nC -5.29 6.418 -5.928\r\nC -3.95 7.169 -6.078\r\nC -3.708 7.803 -7.496\r\nO -3.359 7.033 -8.352\r\nO -3.957 8.963 -7.662\r\nH -4.574 8.603 -4.794\r\nH -3.231 6.521 -5.92\r\nH -7.661 3.657 -3.838\r\nH -8.488 4.525 -5.743\r\nH -9.014 5.537 -7.691\r\nH -6.054 7.1 -7.638\r\nH -3.789 9.17 -8.438\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "7.6972",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "7.7547",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "8.2617",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "14.4138",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7029-SAME",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C4H8N2S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7029 同一立体异构体的两个构象。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0, angstrom\nC -3.31187900 0.12536200 0.38631700\nC -1.82775100 0.00960800 0.23706500\nC -1.07745700 1.02521200 -0.22717000\nN 0.32149300 1.05776300 -0.42224900\nC 1.28350100 0.11081200 -0.20909700\nS 1.04454700 -1.45404200 0.39827000\nN 2.56387000 0.51474500 -0.51296600\nH -3.61445000 -0.04585700 1.42105800\nH -3.82424300 -0.62598700 -0.21766300\nH -3.67241500 1.10696800 0.08424900\nH -1.36517200 -0.93239900 0.51704500\nH -1.54390200 1.97163800 -0.50721200\nH 0.66054400 1.94560400 -0.78783300\nH 2.74729000 1.38391300 -0.99840900\nH 3.30356800 -0.17272400 -0.45973400\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nX (rigidly rotated and translated), angstrom\nC 0.03551649 -6.03676548 -2.05051782\nC 0.56541839 -4.73742172 -2.56974655\nC -0.03580128 -3.55209621 -2.34999731\nN 0.47832600 -2.34435689 -2.84560011\nC -0.08911136 -1.11631566 -2.65387009\nS -1.51911225 -0.87127951 -1.77696122\nN 0.56279721 -0.05511365 -3.22606008\nH -0.17509557 -6.73053054 -2.86680036\nH -0.88093798 -5.89068357 -1.48455472\nH 0.76391536 -6.52677881 -1.40142901\nH 1.48576076 -4.77226347 -3.15182937\nH -0.95526904 -3.44899783 -1.77687539\nH 1.33915747 -2.39851772 -3.38819819\nH 1.44683772 -0.16183580 -3.70705844\nH 0.19625995 0.87490256 -3.07487413\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7052-SAME",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C3H8O3S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7052（含一个立体中心）同一立体异构体的两个构象。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0, angstrom\nC 1.73500300 0.10443600 -1.32214600\nC 1.22631800 -0.05297400 0.11317000\nS -0.66185600 -0.11250400 0.22394500\nO -1.04995600 -0.65227300 1.52429500\nO -1.11912500 1.21652600 -0.19684200\nC -1.17662300 -1.33325800 -1.07105900\nO 1.58561600 1.04698400 0.91753100\nH 2.81006300 0.27170000 -1.31473600\nH 1.26763100 0.95573100 -1.81391800\nH 1.53650000 -0.78627700 -1.91497800\nH 1.64479400 -0.95821500 0.58434600\nH -2.25312900 -1.47381500 -1.00323100\nH -0.69432800 -2.29458700 -0.91207200\nH -0.93806500 -0.97117600 -2.06736500\nH 1.17576500 1.85757500 0.57916700\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nX (rigidly rotated and translated), angstrom\nC 2.29374099 -2.33640012 1.76424932\nC 1.99520481 -0.84186571 1.86529272\nS 0.23713320 -0.47733229 1.28700157\nO 0.21917510 -0.71344166 -0.16050422\nO -0.72807760 -1.15142017 2.16088926\nC 0.12031186 1.34136799 1.56991451\nO 2.85111690 -0.06879446 1.04649046\nH 3.31981472 -2.53493598 2.06830073\nH 2.16820326 -2.68966643 0.74212560\nH 1.62791828 -2.90785495 2.40697869\nH 2.11558132 -0.48297035 2.90177578\nH -0.81211661 1.70302561 1.14212919\nH 0.94947164 1.85441793 1.08936256\nH 0.12732206 1.56541018 2.63370466\nH 2.85758824 -0.42652935 0.14599362\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7208-ENAN",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C4H6N2S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7208 的两个立体异构体（两个立体中心均反转）。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nS -2.06724500 -0.00000200 1.07665600\nC -0.64459000 -0.00000600 0.16409700\nN 0.01816500 -1.11407000 -0.27179200\nC 1.25525300 -0.75284800 -0.91904700\nC 1.25526300 0.75287000 -0.91903100\nN 0.01815800 1.11406700 -0.27179900\nC 2.25888900 -0.00000700 -0.06792800\nH -0.25323700 -2.05843800 -0.02563600\nH 1.58506400 -1.37463900 -1.75492900\nH 1.58506100 1.37463900 -1.75494100\nH -0.25323900 2.05843000 -0.02564900\nH 2.12361900 0.00000500 1.00830500\nH 3.28550600 0.00000500 -0.41705000\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nS 0.58495856 -0.67670506 4.02437838\nC 1.85913143 -1.15091597 3.02032453\nN 3.02567626 -1.72934723 3.43869774\nC 3.83924519 -2.11319702 2.31149988\nC 3.07596817 -1.62112084 1.11048454\nN 1.89617742 -1.00115163 1.66142061\nC 3.22163274 -3.11081093 1.35141571\nH 3.20652165 -1.99161262 4.40022917\nH 4.92364341 -2.04700479 2.42900579\nH 3.52999343 -1.14850103 0.23607162\nH 1.11962469 -0.64616248 1.11645048\nH 3.90610057 -3.64150377 0.69897765\nH 2.34946641 -3.66699615 1.67780967\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7111-ENAN",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C3H6O3S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7111 的两个立体异构体中互为镜像的一对构象。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nC 0.80398600 1.25573000 -1.56497500\nS 0.67688600 0.12005400 -0.10663600\nO 1.56063900 -1.01298200 -0.34705400\nO 0.79537400 0.92429400 1.10606800\nC -1.08598700 -0.43970700 -0.24709100\nO -1.46341900 -1.29094300 0.82692100\nC -2.07679300 -0.02002900 0.77224500\nH 1.81884900 1.64262600 -1.62111200\nH 0.12012200 2.09534600 -1.46893600\nH 0.58928500 0.72493200 -2.48911200\nH -1.42224000 -0.78010200 -1.23963000\nH -1.77998100 0.68047800 1.56143000\nH -3.14419200 -0.02305600 0.51498400\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nC -1.75798587 -1.16437493 1.22512614\nS -1.21845332 0.49018122 1.82441291\nO -2.38387000 1.20411402 2.34686727\nO -0.02453077 0.31513542 2.64947989\nC -0.71583260 1.31244373 0.24334699\nO 0.06340142 0.47860396 -0.61001908\nC 0.71513349 1.59015219 -0.02247802\nH -2.02722608 -1.77716517 2.08284617\nH -0.95210409 -1.65155614 0.68236380\nH -2.62398789 -1.07302463 0.57429370\nH -1.49603048 1.89333422 -0.27133482\nH 0.98390627 2.39535658 -0.71730280\nH 1.46397393 1.34624606 0.73899008\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7110-DIAS",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C3H7N1O2S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7110（氮杂环丙烷）两个立体异构体的最低能构象。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nS0, angstrom\nC -1.48785200 0.36135800 1.44991400\nS -0.01832900 -0.36532000 0.60173900\nO 1.16940700 0.36775900 1.04041200\nO -0.09136700 -1.81861100 0.73737600\nC -0.32994800 0.09795900 -1.14813500\nN 0.12718800 1.41911700 -1.57994800\nC 0.84926000 0.25019100 -2.05567800\nH -1.41365100 0.15961700 2.51618400\nH -2.40697000 -0.08371300 1.07711300\nH -1.52677800 1.43750200 1.30172500\nH -1.28873600 -0.22414600 -1.56713700\nH 0.65392500 1.88739400 -0.83485800\nH 1.84421100 0.06976900 -1.64633700\nH 0.72786300 0.01465900 -3.11378400\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nX (rigidly rotated and translated), angstrom\nC 0.14586222 -3.51175185 0.50078506\nS -1.11819904 -3.09469633 1.77576325\nO -2.13514872 -2.24567747 1.15473507\nO -1.50126539 -4.32913528 2.45649920\nC -0.15519986 -2.04346483 2.94607271\nN 1.16682314 -2.56026728 3.31067110\nC 0.12603946 -2.53905785 4.32695530\nH -0.30876551 -4.16321656 -0.24231489\nH 0.98722554 -4.02923626 0.95355390\nH 0.50273402 -2.61320792 0.00415163\nH -0.24302482 -0.96439487 2.78183236\nH 1.83480065 -1.79657701 3.44239778\nH 0.21164299 -1.80039419 5.12644050\nH -0.25831898 -3.51416643 4.62602704\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7043-DIAS",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C3H6O3S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7043 两个立体异构体（双键顺反）的最低能构象。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nC -3.13865600 -0.82920000 0.19364500\nC -1.65077000 -0.78194600 0.25884300\nC -0.90432500 0.22123800 -0.22586500\nS 0.89865300 0.17246300 -0.16300700\nO 1.30716000 -1.01343600 0.57670600\nO 1.42838800 0.46879600 -1.47029400\nO 1.20540800 1.46950200 0.76619500\nH -3.46526200 -1.71029800 -0.36021900\nH -3.55084600 0.05464500 -0.28638600\nH -3.56183900 -0.91167700 1.19559200\nH -1.15263400 -1.62905000 0.73297300\nH -1.36687000 1.07274700 -0.72247700\nH 1.35387500 1.30477100 1.70802800\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nC -0.95747808 -1.87525679 4.09092959\nC -0.74561582 -1.65552607 2.63320388\nC -1.53378502 -2.07234182 1.62921770\nS -3.04519088 -3.05193784 1.81536754\nO -3.57193404 -3.29800639 0.48235108\nO -2.83955297 -4.12850239 2.75374269\nO -4.03033852 -1.98462375 2.54845315\nH -0.11228027 -2.42217167 4.51129409\nH -1.86727195 -2.42732155 4.30449070\nH -0.99936002 -0.91676730 4.61052611\nH 0.15011399 -1.08892704 2.36898142\nH -1.25622022 -1.84235520 0.60224945\nH -4.61251113 -1.46952372 1.97186441\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7082-CONS",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C4H6N2S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7082 与同分子式的 7089。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nC -1.86542100 1.91090200 -0.43964300\nN -0.43168900 1.78815900 -0.32585900\nC 0.11730100 0.64580300 -0.10034900\nC 1.54635300 0.39184900 0.02200300\nC 1.90052800 -0.90041100 0.24933900\nN 0.90707100 -1.82708700 0.50347800\nS -0.80798300 -0.94289900 0.09308500\nH -2.13066100 2.46591500 -1.34796600\nH -2.26879600 2.47469400 0.41169200\nH -2.37270900 0.92967600 -0.46950600\nH 2.26656000 1.19437600 -0.08689600\nH 2.93095500 -1.25387700 0.32067200\nH 0.98213900 -2.74077300 0.05122000\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nC -0.08530786 -1.65099983 -3.12429932\nN 0.40699737 -0.55546874 -2.29440744\nC 1.45536095 0.10077023 -2.69795300\nS 2.17162702 1.46406304 -1.79311479\nC 3.42733920 1.66994253 -3.03616923\nC 3.27547128 0.76058396 -4.02981716\nN 2.20081380 -0.10565901 -3.85743146\nH -1.00315361 -2.05954659 -2.69360604\nH 0.64397905 -2.47341859 -3.19715044\nH -0.31252553 -1.32755882 -4.15312907\nH 4.19116195 2.43055280 -2.96993298\nH 3.89893046 0.65724190 -4.91258514\nH 1.96724149 -0.83558898 -4.52085927\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SREL-7033-CONS",
   "family": "stereo_relationship",
   "ability": "perception",
   "question": "S0.xyz and X.xyz each contain one structure of formula C4H8O2S1 (angstrom). X has been rigidly rotated and translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation about single bonds as the same compound. Which describes X relative to S0?",
   "scope": "QM7-X 分子 7033 与同分子式的 7034。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0, angstrom\nC -3.20608800 0.54471500 -0.33990000\nC -1.72328600 0.66140100 -0.24744400\nC -0.90612900 -0.34240400 0.10242900\nS 0.88367200 -0.08463500 0.24394700\nO 1.17484200 1.31185900 -0.07016800\nO 1.35182200 -0.68166700 1.49148400\nC 1.51283500 -1.12673000 -1.14564700\nH -3.54723000 0.80429400 -1.34294600\nH -3.68470200 1.24330900 0.34768200\nH -3.54904800 -0.46001500 -0.10604200\nH -1.28983600 1.63604100 -0.47666800\nH -1.29815800 -1.32478200 0.36042500\nH 1.13013200 -0.77258000 -2.09905700\nH 1.22390500 -2.16560300 -1.00990800\nH 2.59888300 -1.06994000 -1.16379700\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nX (rigidly rotated and translated), angstrom\nC -0.09301724 -2.11769474 -2.29626532\nC -1.43061076 -1.88341325 -1.65878956\nC -1.60631186 -1.40747909 -0.42124823\nS -2.90692580 -2.34235015 -2.64692967\nO -2.61267196 -3.57419227 -3.37636707\nO -4.08999095 -2.24116205 -1.79636758\nC -2.97074455 -0.96267726 -3.87636568\nH 0.71381222 -1.87852206 -1.60760326\nH 0.02735701 -1.50681134 -3.19262777\nH 0.00506878 -3.15908022 -2.60192757\nH -0.75875524 -1.14920264 0.20497035\nH -2.60179305 -1.28298315 -0.00893939\nH -2.05945700 -0.92930109 -4.46768914\nH -3.10808462 -0.00658155 -3.37845205\nH -3.81133672 -1.13007762 -4.54601476\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "the same compound as S0 (only conformation and/or orientation differ)"
    },
    {
     "label": "B",
     "value": "an enantiomer of S0 (its non-superimposable mirror image)"
    },
    {
     "label": "C",
     "value": "a diastereomer of S0 (a stereoisomer that is not its mirror image)"
    },
    {
     "label": "D",
     "value": "a constitutional isomer of S0 (same formula, different bonding)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SPROP-7082",
   "family": "stereo_property_inference",
   "ability": "inference",
   "question": "S0 and X are two stereoisomers of the same neutral C4H6N2S1 molecule; atom order is shared and X has been rigidly rotated and translated. Each structure is the lowest-energy QM7-X conformer of its configuration. Compare X with S0 by PBE0+MBD total energy and dipole-moment magnitude at the supplied geometries; each difference is at least 0.0434 eV (1 kcal/mol) in energy and 0.10 e·Å in dipole. Which statement is correct?",
   "scope": "QM7-X 分子 7082 两个非对映体各自的数据集最低能构象；性质为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nC -1.86542100 1.91090200 -0.43964300\nN -0.43168900 1.78815900 -0.32585900\nC 0.11730100 0.64580300 -0.10034900\nC 1.54635300 0.39184900 0.02200300\nC 1.90052800 -0.90041100 0.24933900\nN 0.90707100 -1.82708700 0.50347800\nS -0.80798300 -0.94289900 0.09308500\nH -2.13066100 2.46591500 -1.34796600\nH -2.26879600 2.47469400 0.41169200\nH -2.37270900 0.92967600 -0.46950600\nH 2.26656000 1.19437600 -0.08689600\nH 2.93095500 -1.25387700 0.32067200\nH 0.98213900 -2.74077300 0.05122000\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nC -1.47530352 -3.66346094 -0.04792565\nN -1.79464148 -2.25045679 -0.21839221\nC -0.92141451 -1.47194824 -0.77017831\nC 0.41150972 -1.75619061 -1.31392762\nC 1.06899928 -0.68406365 -1.82885304\nN 0.51883930 0.57369778 -1.66402926\nS -1.29982242 0.28491498 -0.97232913\nH -2.29963770 -4.17440220 0.45884701\nH -0.56737855 -3.80907784 0.55361749\nH -1.31423019 -4.16279302 -1.01352724\nH 0.82289181 -2.75888156 -1.31761838\nH 2.05016950 -0.73070785 -2.30577054\nH 0.53319986 1.20969220 -2.46426156\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "X is higher in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "B",
     "value": "X is lower in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "C",
     "value": "X is higher in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "D",
     "value": "X is lower in energy than S0 and has a smaller dipole moment"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SPROP-7089",
   "family": "stereo_property_inference",
   "ability": "inference",
   "question": "S0 and X are two stereoisomers of the same neutral C4H6N2S1 molecule; atom order is shared and X has been rigidly rotated and translated. Each structure is the lowest-energy QM7-X conformer of its configuration. Compare X with S0 by PBE0+MBD total energy and dipole-moment magnitude at the supplied geometries; each difference is at least 0.0434 eV (1 kcal/mol) in energy and 0.10 e·Å in dipole. Which statement is correct?",
   "scope": "QM7-X 分子 7089 两个非对映体各自的数据集最低能构象；性质为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nS0, angstrom\nC -2.42610400 -0.71908400 1.17056500\nN -0.97198400 -0.80963200 1.26335200\nC -0.25801100 -0.22412800 0.34684100\nS 1.52790500 -0.24558100 0.32733800\nC 1.55440400 0.73195100 -1.15863400\nC 0.29494500 1.02339500 -1.56625700\nN -0.70730800 0.50555000 -0.75243400\nH -2.88413100 -1.19783900 2.03996300\nH -2.81418800 -1.22115100 0.27008800\nH -2.77942000 0.32436700 1.13724200\nH 2.47326300 1.03182700 -1.64041500\nH 0.01627300 1.60372100 -2.44045600\nH -1.69464300 0.64412900 -0.93534300\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "13\nX (rigidly rotated and translated), angstrom\nC -0.94653459 1.39620317 -0.21050195\nN -1.00257047 0.15840775 -0.97636245\nC -1.17957713 -0.95033858 -0.32305296\nS -1.37226212 -1.18182568 1.46341028\nC -1.53473315 -2.93877434 1.23448804\nC -1.44538535 -3.27008566 -0.07774284\nN -1.25158900 -2.19281326 -0.93245173\nH -0.79320745 2.24830414 -0.87806402\nH -0.12395296 1.38374536 0.52088462\nH -1.87704481 1.56722475 0.35219206\nH -1.68426065 -3.61759682 2.06116044\nH -1.51041049 -4.26881977 -0.49831512\nH -1.16783692 -2.29072447 -1.93809997\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "X is higher in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "B",
     "value": "X is lower in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "C",
     "value": "X is higher in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "D",
     "value": "X is lower in energy than S0 and has a smaller dipole moment"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SPROP-7110",
   "family": "stereo_property_inference",
   "ability": "inference",
   "question": "S0 and X are two stereoisomers of the same neutral C3H7N1O2S1 molecule; atom order is shared and X has been rigidly rotated and translated. Each structure is the lowest-energy QM7-X conformer of its configuration. Compare X with S0 by PBE0+MBD total energy and dipole-moment magnitude at the supplied geometries; each difference is at least 0.0434 eV (1 kcal/mol) in energy and 0.10 e·Å in dipole. Which statement is correct?",
   "scope": "QM7-X 分子 7110 两个非对映体各自的数据集最低能构象；性质为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nS0, angstrom\nC -1.48785200 0.36135800 1.44991400\nS -0.01832900 -0.36532000 0.60173900\nO 1.16940700 0.36775900 1.04041200\nO -0.09136700 -1.81861100 0.73737600\nC -0.32994800 0.09795900 -1.14813500\nN 0.12718800 1.41911700 -1.57994800\nC 0.84926000 0.25019100 -2.05567800\nH -1.41365100 0.15961700 2.51618400\nH -2.40697000 -0.08371300 1.07711300\nH -1.52677800 1.43750200 1.30172500\nH -1.28873600 -0.22414600 -1.56713700\nH 0.65392500 1.88739400 -0.83485800\nH 1.84421100 0.06976900 -1.64633700\nH 0.72786300 0.01465900 -3.11378400\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nX (rigidly rotated and translated), angstrom\nC -2.89753964 0.42990938 0.64623682\nS -2.33575899 2.03244172 1.36292934\nO -2.92542886 3.11847692 0.57965886\nO -2.52882420 1.97553421 2.80981156\nC -0.52716311 2.00493888 1.00195307\nN 0.15371913 0.74321771 1.30563159\nC 0.45105972 1.90682870 2.12667491\nH -3.96486209 0.32147496 0.82611158\nH -2.37644619 -0.40046228 1.11488008\nH -2.72099119 0.40475154 -0.42594841\nH -0.22748878 2.52811975 0.08786491\nH 0.90120848 0.55923333 0.63170421\nH 1.42501070 2.38344062 1.99865491\nH 0.07672865 1.86792629 3.14959959\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "X is higher in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "B",
     "value": "X is higher in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "C",
     "value": "X is lower in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "D",
     "value": "X is lower in energy than S0 and has a larger dipole moment"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SPROP-7114",
   "family": "stereo_property_inference",
   "ability": "inference",
   "question": "S0 and X are two stereoisomers of the same neutral C3H7N1O2S1 molecule; atom order is shared and X has been rigidly rotated and translated. Each structure is the lowest-energy QM7-X conformer of its configuration. Compare X with S0 by PBE0+MBD total energy and dipole-moment magnitude at the supplied geometries; each difference is at least 0.0434 eV (1 kcal/mol) in energy and 0.10 e·Å in dipole. Which statement is correct?",
   "scope": "QM7-X 分子 7114 两个非对映体各自的数据集最低能构象；性质为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nS0, angstrom\nN -3.07122100 -0.37211700 0.68323900\nC -1.70182600 -0.33053500 0.70965200\nC -0.93098900 0.21594200 -0.26932700\nS 0.85408000 0.22817000 -0.09890000\nO 1.37437100 1.54827000 -0.44759500\nO 1.19276400 -0.38697900 1.18587300\nC 1.38842700 -0.93469000 -1.43395000\nH -3.57351800 -0.62281700 1.52325300\nH -3.56644800 0.17734500 -0.00752700\nH -1.23699000 -0.80852800 1.57209800\nH -1.38005900 0.71640200 -1.12202900\nH 1.04050200 -0.59021700 -2.40399900\nH 1.00416500 -1.93498000 -1.25429200\nH 2.47486100 -0.97774500 -1.45225300\n"
    },
    {
     "name": "X.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nX (rigidly rotated and translated), angstrom\nN 2.39448534 -0.54870396 1.67465922\nC 2.02169934 -0.79056296 0.38553519\nC 0.98934854 -1.58239799 -0.03179208\nS -0.02547286 -2.59451194 1.04625898\nO -0.25342990 -3.89434349 0.42275640\nO 0.50562549 -2.52138890 2.41708640\nC -1.63910110 -1.69355960 1.04245955\nH 3.26609311 -0.07024920 1.85452636\nH 1.98302658 -1.11021270 2.41757967\nH 2.60676896 -0.25430989 -0.36557151\nH 0.81794766 -1.68493391 -1.09752007\nH -2.04110183 -1.63560815 0.03471202\nH -1.52347307 -0.68747471 1.43605385\nH -2.34763924 -2.23204401 1.66738941\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "X is higher in energy than S0 and has a larger dipole moment"
    },
    {
     "label": "B",
     "value": "X is lower in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "C",
     "value": "X is higher in energy than S0 and has a smaller dipole moment"
    },
    {
     "label": "D",
     "value": "X is lower in energy than S0 and has a larger dipole moment"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SDES-7029",
   "family": "stereo_design_selection",
   "ability": "design",
   "question": "S0 is one conformer of a C4H8N2S1 molecule. You may change it only by changing the configuration of its stereo elements (the handedness of stereocentres or the cis/trans arrangement at double bonds): same atoms, same bonds; a change of conformation alone does not count. Goal: a structure whose PBE0+MBD energy (single point at the supplied geometry) is at least 0.0434 eV (1 kcal/mol) lower than that of S0. Candidates A–D have been rigidly rotated and their atom order may differ from S0. Which candidate satisfies both the allowed modification and the goal?",
   "scope": "QM7-X 分子 7029 的立体异构体与构象；构造异构体取同分子式的 7030；能量为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0 starting structure, angstrom\nC -3.51037900 -0.63214400 -0.03014300\nC -2.01460300 -0.58128400 -0.00715500\nC -1.31195500 0.36272100 -0.66587700\nN 0.08722900 0.50456300 -0.71284000\nC 1.04294500 0.13261400 0.19148000\nS 2.68144400 0.34636400 -0.19948500\nN 0.67346400 -0.39191100 1.39722800\nH -3.92362700 -0.52301300 0.97473400\nH -3.86068500 -1.59204900 -0.41211600\nH -3.92525000 0.15583600 -0.65412800\nH -1.51018600 -1.36582900 0.55020200\nH -1.83644700 1.09616900 -1.28223700\nH 0.45027100 0.98903000 -1.53021700\nH -0.26863000 -0.25805200 1.74628400\nH 1.41054500 -0.52393600 2.07868700\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate A (rigidly rotated), angstrom\nC -1.21736087 4.58395260 4.85118354\nC -0.92711588 3.31971780 4.08458276\nC -0.00350192 2.42943098 4.50975218\nN -1.67424627 3.20780908 2.89636977\nC -2.01769773 2.10652931 2.15532063\nS -2.83411463 2.32832731 0.68372888\nN -1.72441595 0.85582514 2.60995228\nH -0.60185415 4.64848056 5.74278289\nH -2.26468078 4.62819060 5.15103801\nH -1.02202165 5.46174205 4.23454883\nH 0.52526489 2.61855091 5.43233482\nH 0.29087178 1.56635368 3.93152283\nH -2.05781824 4.08033490 2.54006700\nH -1.48217893 0.70000500 3.58142980\nH -2.10411431 0.07753146 2.08555687\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate B (rigidly rotated), angstrom\nC -2.77707995 2.80367489 -0.35414860\nC -2.57504568 1.57845385 -1.18989772\nC -3.20476174 1.39363236 -2.36806283\nN -3.09004182 0.28748850 -3.23022618\nC -2.78127959 -1.01619676 -2.95708808\nS -2.61419465 -2.11462777 -4.24112609\nN -2.62364076 -1.42285977 -1.66277509\nH -3.18664605 2.54897210 0.62556736\nH -1.82911576 3.31335012 -0.17629942\nH -3.45686644 3.50403479 -0.83349611\nH -1.86767811 0.84461984 -0.81344989\nH -3.85289391 2.17842858 -2.76424090\nH -3.30101223 0.47171880 -4.20806237\nH -2.99446943 -0.86467164 -0.90237287\nH -2.52999854 -2.41924648 -1.50931488\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate C (rigidly rotated), angstrom\nC 1.47956869 1.02145103 0.42234228\nC 1.62787866 -0.46614362 0.50395156\nC 0.81762149 -1.32160563 1.16319699\nN -0.31519438 -0.94069965 1.89202123\nC -1.17840896 -1.74671168 2.57703389\nS -2.49236813 -1.05307456 3.40120889\nN -0.97792917 -3.09558506 2.59895956\nH 2.35688340 1.52014428 0.83833853\nH 0.60441195 1.38505116 0.95518676\nH 1.39748179 1.34402269 -0.61696363\nH 2.47693827 -0.89270539 -0.02254018\nH 1.03236952 -2.38920960 1.14887757\nH -0.53018047 0.05301147 1.92398372\nH -0.22971896 -3.54836412 2.09130154\nH -1.64662017 -3.66717454 3.09704632\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate D (rigidly rotated), angstrom\nC 0.33592010 0.56588325 -1.82856971\nC -0.47983699 0.15691223 -0.64400887\nC -0.48857154 0.83576202 0.52166133\nN -1.26037934 0.43592623 1.62106835\nC -1.35316415 1.03703510 2.84359366\nS -2.36388003 0.36421172 4.03146491\nN -0.63491316 2.16766738 3.09926240\nH -0.29940976 0.75671548 -2.69562345\nH 1.03223831 -0.22391809 -2.11693254\nH 0.90987919 1.46673729 -1.62350298\nH -1.09244609 -0.73697973 -0.74365340\nH 0.11295457 1.73377635 0.65444923\nH -1.82393688 -0.40299070 1.50270208\nH -0.02823797 2.59898138 2.41493956\nH -0.72564662 2.59334658 4.01169350\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SDES-7033",
   "family": "stereo_design_selection",
   "ability": "design",
   "question": "S0 is one conformer of a C4H8O2S1 molecule. You may change it only by changing the configuration of its stereo elements (the handedness of stereocentres or the cis/trans arrangement at double bonds): same atoms, same bonds; a change of conformation alone does not count. Goal: a structure whose PBE0+MBD energy (single point at the supplied geometry) is at least 0.0434 eV (1 kcal/mol) lower than that of S0. Candidates A–D have been rigidly rotated and their atom order may differ from S0. Which candidate satisfies both the allowed modification and the goal?",
   "scope": "QM7-X 分子 7033 的立体异构体与构象；构造异构体取同分子式的 7034；能量为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nS0 starting structure, angstrom\nC -1.08922200 2.08036200 -0.98917600\nC 0.38108100 1.84437000 -0.86097900\nC 0.97634900 0.77963800 -0.29954200\nS 0.12028700 -0.61499200 0.49176000\nO 1.05422300 -1.23020000 1.42924100\nO -1.21153800 -0.20766900 0.93464500\nC -0.08932100 -1.76954900 -0.93707000\nH -1.28515700 3.04814100 -1.44267600\nH -1.58084100 2.04706600 -0.01831900\nH -1.55963600 1.31738100 -1.61031500\nH 1.03196500 2.62100500 -1.26697900\nH 2.06293700 0.73261000 -0.26065800\nH 0.87609800 -2.04982000 -1.34989700\nH -0.69136700 -1.31310100 -1.71824000\nH -0.59337800 -2.66937300 -0.59156300\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate A (rigidly rotated), angstrom\nC 1.31811837 -2.31180788 3.04128909\nC 0.72036660 -1.31113350 3.96951534\nC -0.22547705 -0.39573200 3.70475802\nS -1.08431846 -0.13215666 2.12308566\nO -1.06717981 -1.34681671 1.31030075\nO -2.34650002 0.53552271 2.42317498\nC 0.02829559 1.10147789 1.31131615\nH 1.19649473 -3.31435559 3.45280812\nH 2.39245932 -2.14021892 2.95157546\nH 0.87398030 -2.28779130 2.05146789\nH 1.11009124 -1.33851593 4.99022129\nH -0.56013957 0.26137538 4.50565509\nH 1.01666360 0.68158363 1.14548772\nH 0.11986415 1.99723621 1.91962845\nH -0.39751843 1.37812686 0.34941943\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate B (rigidly rotated), angstrom\nC 0.18771466 -2.81645005 -4.69730531\nC -0.87138206 -2.44526542 -3.70183772\nC -2.02484330 -1.84378620 -4.01271176\nS -0.50801643 -2.80239139 -1.93917596\nO 0.90540393 -2.52518523 -1.69118627\nO -1.54622885 -2.19097804 -1.11356907\nC -0.74015493 -4.63586218 -1.87934602\nH -0.09357798 -2.50366506 -5.70003796\nH 0.35629093 -3.89469126 -4.70789062\nH 1.13552044 -2.34587246 -4.43700754\nH -2.26583634 -1.59173876 -5.04013723\nH -2.74044361 -1.57987555 -3.24151272\nH -0.05683065 -5.13455349 -2.56169293\nH -1.76099767 -4.90536319 -2.13653971\nH -0.53316139 -4.98142595 -0.86900583\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate C (rigidly rotated), angstrom\nC 0.66975374 -0.18100526 -3.40720248\nC 1.23122845 0.59505418 -2.25985968\nC 1.37357700 0.16663899 -0.99518303\nS 0.95921492 -1.49627831 -0.38937451\nO 1.74867929 -1.73573588 0.81436718\nO 0.97942378 -2.45715735 -1.49033774\nC -0.80149693 -1.26614121 0.12581792\nH 0.72027771 0.39867937 -4.32484185\nH 1.21171704 -1.11340489 -3.55642684\nH -0.37422346 -0.44412094 -3.23363767\nH 1.55740283 1.61343364 -2.47931685\nH 1.80829221 0.83093308 -0.25078184\nH -0.87982502 -0.50654633 0.89905278\nH -1.41776414 -0.97654314 -0.72116402\nH -1.17767979 -2.20609687 0.52343783\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\ncandidate D (rigidly rotated), angstrom\nC 2.46635032 2.58392259 -1.01071590\nC 2.08979830 2.27626847 0.39797960\nC 1.86573271 3.20322602 1.34048979\nS 1.46968631 2.72637557 3.04507793\nO 1.46418708 1.26796527 3.12664293\nO 2.28243475 3.52146224 3.96117692\nC -0.27555565 3.31410271 3.19166194\nH 1.74198175 2.15149303 -1.70220361\nH 3.43450906 2.14163981 -1.24931293\nH 2.52166137 3.65454676 -1.19098815\nH 2.00060065 1.22241948 0.66591947\nH 1.96514374 4.26513259 1.12188718\nH -0.91585355 2.80832296 2.47397128\nH -0.33606600 4.38689437 3.02850777\nH -0.63671580 3.09642156 4.19427505\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SDES-7110",
   "family": "stereo_design_selection",
   "ability": "design",
   "question": "S0 is one conformer of a C3H7N1O2S1 molecule. You may change it only by changing the configuration of its stereo elements (the handedness of stereocentres or the cis/trans arrangement at double bonds): same atoms, same bonds; a change of conformation alone does not count. Goal: a structure whose PBE0+MBD energy (single point at the supplied geometry) is at least 0.0434 eV (1 kcal/mol) lower than that of S0. Candidates A–D have been rigidly rotated and their atom order may differ from S0. Which candidate satisfies both the allowed modification and the goal?",
   "scope": "QM7-X 分子 7110 的立体异构体与构象；构造异构体取同分子式的 7038；能量为 PBE0+MBD 计算值。",
   "inputs": [
    {
     "name": "S0.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nS0 starting structure, angstrom\nC -2.10633800 0.32473300 -0.16658100\nS -0.28303300 0.64182500 -0.13573000\nO 0.19909200 0.64351600 -1.51196500\nO -0.04864200 1.78435800 0.74252700\nC 0.32466400 -0.88433900 0.70178600\nN 1.76963900 -1.07456500 0.57129600\nC 0.88902300 -2.01407400 -0.09785800\nH -2.60547800 1.18211500 -0.61170000\nH -2.49324700 0.18788200 0.83996900\nH -2.33952200 -0.55577100 -0.75970200\nH -0.12173000 -1.10265900 1.67878200\nH 2.16946400 -1.46428900 1.42778900\nH 0.80452100 -3.02192100 0.31547800\nH 0.87935800 -1.95351200 -1.18658600\n"
    },
    {
     "name": "candidate_A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\ncandidate A (rigidly rotated), angstrom\nC 2.45609430 -4.09159197 1.52239138\nS 1.85551443 -2.77235846 2.66514524\nO 1.97206575 -3.26968756 4.03614311\nO 2.48425372 -1.51318451 2.27150259\nC 0.06561255 -2.71121934 2.25733878\nN -0.80984778 -3.65414613 2.95401126\nC -0.88167023 -2.24837804 3.31836360\nH 3.52335382 -4.23241138 1.67816031\nH 2.29266950 -3.80716671 0.48593526\nH 1.94911608 -5.03295075 1.71829403\nH -0.18191958 -2.53414435 1.20569197\nH -0.29057944 -4.18243757 3.66335100\nH -0.47206906 -1.95573308 4.28615772\nH -1.78946729 -1.72476996 3.01580792\n"
    },
    {
     "name": "candidate_B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\ncandidate B (rigidly rotated), angstrom\nC 0.45652719 -1.77751909 -0.61452328\nC 0.27107108 -1.93463521 0.85489142\nC -0.40109724 -1.06726664 1.62789599\nS -0.55540717 -1.31864072 3.40045755\nO 0.24112328 -2.45176002 3.81440000\nO -0.54671959 -0.05005524 4.09228630\nN -2.46382865 -1.94553554 3.48661314\nH 1.51825806 -1.72708145 -0.85898948\nH -0.02957581 -0.88100191 -0.99087592\nH 0.05235280 -2.64195557 -1.14303211\nH 0.72685510 -2.81141060 1.31719252\nH -0.86454889 -0.17650979 1.20794066\nH -2.57672813 -2.77535189 2.90547210\nH -3.07811996 -1.20217694 3.15619007\n"
    },
    {
     "name": "candidate_C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\ncandidate C (rigidly rotated), angstrom\nC -0.51026609 -0.12498847 -2.42398104\nS -0.70392497 -0.28358454 -0.59786519\nO -0.90531016 -1.69696606 -0.27772092\nO 0.37053986 0.47288712 0.04030151\nC -2.30269707 0.58705140 -0.30121697\nN -2.45106898 1.87547650 -0.98364507\nC -2.31657820 1.86937764 0.46493669\nH 0.42948898 -0.58764255 -2.71741209\nH -0.49242255 0.92156975 -2.71566490\nH -1.32253399 -0.62786802 -2.94235971\nH -3.18417251 -0.06121609 -0.25843374\nH -3.42147892 2.02880617 -1.26923791\nH -3.20367566 2.09938160 1.05847257\nH -1.37656787 2.26349841 0.85102145\n"
    },
    {
     "name": "candidate_D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\ncandidate D (rigidly rotated), angstrom\nC -2.48222853 -2.56518755 2.94169172\nS -2.61507494 -0.71953278 2.89867382\nO -2.43079489 -0.22104525 4.25662124\nO -3.80997318 -0.38090438 2.13107682\nC -1.12653449 -0.28349299 1.90166736\nN -0.77930899 1.13590550 1.97853530\nC 0.12850989 0.17256187 2.57331483\nH -3.33693477 -2.96738799 3.48028954\nH -2.48622865 -2.97782471 1.93606542\nH -1.57502507 -2.87956257 3.45120603\nH -1.05294922 -0.76326860 0.91888916\nH -0.43858663 1.48180209 1.07876371\nH 1.07639334 -0.02076996 2.06549343\nH 0.17617837 0.18404144 3.66266591\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "candidate_A.xyz"
    },
    {
     "label": "B",
     "value": "candidate_B.xyz"
    },
    {
     "label": "C",
     "value": "candidate_C.xyz"
    },
    {
     "label": "D",
     "value": "candidate_D.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-7035-SO",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7035, an alkyl methyl sulfone (17 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms S3 (row 3) and O4 (row 4) form one of the two S=O bonds of the sulfonyl group (S3 carries two O atoms and two C atoms). What is this bond length?",
   "scope": "QM7-X 分子 7035 优化几何；只测该结构中的键长，不据此判断键级。",
   "inputs": [
    {
     "name": "QNP002-7035-opt.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "17\r\nQM7-X native coordinates in angstrom (molecule 7035, Geom-m7035-i1-c1-opt)\r\nC -1.803805 0.956598 0.700986\r\nC -0.277892 0.883232 0.74227\r\nS 0.359943 -0.520427 -0.326716\r\nO -0.301352 -0.458879 -1.628666\r\nO 1.819585 -0.530336 -0.238604\r\nC -0.265897 -2.013642 0.565\r\nC 0.374815 2.184206 0.267456\r\nH -2.257788 0.051888 1.101268\r\nH -2.156888 1.092619 -0.318304\r\nH -2.155011 1.7983 1.29454\r\nH 0.050639 0.674767 1.771035\r\nH -1.352047 -2.042641 0.567397\r\nH 0.095052 -2.034048 1.58988\r\nH 0.101548 -2.899391 0.051948\r\nH 0.085882 2.412062 -0.755997\r\nH 1.458862 2.111317 0.310205\r\nH 0.061474 3.013307 0.899368\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.440",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.462",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "1.848",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "1.876",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-7070-CCl",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7070, a dichloro-1H-pyrrole (10 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms Cl1 (row 1) and C2 (row 2) form the bond between a chlorine substituent and its ring carbon. What is this bond length?",
   "scope": "QM7-X 分子 7070 优化几何；只测该结构中的键长。",
   "inputs": [
    {
     "name": "QNP003-7070-opt.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "10\r\nQM7-X native coordinates in angstrom (molecule 7070, Geom-m7070-i1-c1-opt)\r\nCl -2.004459 0.67375 -0.009863\r\nC -0.267314 0.668684 -0.00096\r\nC 0.5696 1.772579 0.00402\r\nN 1.856811 1.298618 0.010338\r\nC 1.860398 -0.073074 0.009508\r\nC 0.536387 -0.480503 0.002457\r\nCl -0.054817 -2.113973 -0.001601\r\nH 0.34946 2.831326 0.003539\r\nH 2.686794 1.87912 0.014959\r\nH 2.77935 -0.643088 0.013879\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.402",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.737",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "1.780",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "2.791",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-7002-NN",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7002 (11 atoms, angstrom); rows are counted from 1 after the two header lines. N6 is terminal and bonded only to N5. In this supplied structure, atoms N5 (row 5) and N6 (row 6) form the nitrogen–nitrogen bond at the end of the N–N=N-type chain (N5 bonded to C4 and N6). What is this bond length?",
   "scope": "QM7-X 分子 7002 优化几何；只测该结构中的键长，不据此判断键级。",
   "inputs": [
    {
     "name": "QNP004-7002-opt.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "11\r\nQM7-X native coordinates in angstrom (molecule 7002, Geom-m7002-i1-c1-opt)\r\nC -0.233392 2.632893 1.080141\r\nC -0.733248 1.390913 0.995824\r\nC -0.158391 0.294992 0.21314\r\nC 1.010299 0.431791 -0.550629\r\nN 1.382938 -0.716616 -1.210631\r\nN 0.816931 -1.759865 -1.181911\r\nS -0.914057 -1.248333 0.198843\r\nH -0.723297 3.386883 1.683969\r\nH 0.66721 2.932451 0.556106\r\nH -1.641549 1.156214 1.54775\r\nH 1.611855 1.329609 -0.652383\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.187",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.376",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "1.420",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "2.289",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-7122-CN",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7122, an amino-substituted chlorofuran (11 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms C5 (row 5) and N7 (row 7) form the bond joining the NH2 group (N7 with two H) to the furan ring carbon C5. What is this bond length?",
   "scope": "QM7-X 分子 7122 优化几何；只测该结构中的键长。",
   "inputs": [
    {
     "name": "QNP006-7122-opt.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "11\r\nQM7-X native coordinates in angstrom (molecule 7122, Geom-m7122-i1-c1-opt)\r\nCl -2.420266 0.367376 0.081827\r\nC -0.685705 0.221908 0.021352\r\nC 0.197748 1.264676 0.010128\r\nO 1.467804 0.755458 -0.041067\r\nC 1.37612 -0.577775 -0.056707\r\nC 0.060119 -0.992887 -0.025013\r\nN 2.575376 -1.295667 -0.157538\r\nH 0.084812 2.339953 0.033725\r\nH -0.321044 -2.002339 -0.032243\r\nH 3.394628 -0.797591 0.174103\r\nH 2.526364 -2.25494 0.166108\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.015",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.336",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "1.401",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "2.537",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-6LYZ-SS",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys6 and Cys127 of hen egg-white lysozyme (PDB 6LYZ, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys6) and SG(Cys127) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "6LYZ 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "inputs": [
    {
     "name": "6LYZ-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "SSBOND   1 CYS A    6    CYS A  127                          1555   1555  2.03\nATOM     43  N   CYS A   6      -6.190  19.989   4.859  1.00  4.10           N\nATOM     44  CA  CYS A   6      -7.588  19.557   4.979  1.00  7.38           C\nATOM     45  C   CYS A   6      -7.979  18.286   5.734  1.00  7.85           C\nATOM     46  O   CYS A   6      -9.009  18.248   6.442  1.00  3.09           O\nATOM     47  CB  CYS A   6      -8.281  19.722   3.493  1.00  8.09           C\nATOM     48  SG  CYS A   6      -9.062  21.202   2.777  1.00  9.87           S\nATOM    976  N   CYS A 127     -11.923  23.014   2.562  1.00  7.45           N\nATOM    977  CA  CYS A 127     -12.328  21.822   3.316  1.00  4.38           C\nATOM    978  C   CYS A 127     -13.810  21.466   3.444  1.00  5.55           C\nATOM    979  O   CYS A 127     -14.658  22.333   3.747  1.00  5.82           O\nATOM    980  CB  CYS A 127     -11.477  21.725   4.558  1.00  1.50           C\nATOM    981  SG  CYS A 127      -9.740  22.242   4.384  1.00 14.60           S\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.821",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "2.031",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "2.100",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "3.045",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ANG-7040-OSO",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7040 (16 atoms, angstrom). Atoms O4–S3–O5 form the O=S=O unit of the sulfonyl group on S3 (O4 = row 4, S3 = row 3, O5 = row 5; rows counted from 1 after the two XYZ header lines). What is the O4–S3–O5 bond angle at S3 in this supplied conformer?",
   "scope": "QM7-X 分子 7040 优化几何；只测该结构中的键角。",
   "inputs": [
    {
     "name": "QNP005-7040-opt.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\r\nQM7-X native coordinates in angstrom (molecule 7040, Geom-m7040-i1-c1-opt)\r\nC -1.77265 0.280127 -1.146552\r\nC -0.247209 0.339636 -1.102341\r\nS 0.380931 -0.135934 0.574068\r\nO -0.232798 -1.36958 1.028974\r\nO 1.812654 0.087645 0.660931\r\nN -0.502155 1.369477 1.604364\r\nC 0.406963 -0.575382 -2.14081\r\nH -2.207035 0.94264 -0.401714\r\nH -2.12945 -0.73033 -0.960239\r\nH -2.128576 0.588782 -2.127483\r\nH 0.082008 1.373946 -1.274672\r\nH -1.104668 0.935496 2.305181\r\nH 0.244727 1.874634 2.083786\r\nH 0.12385 -1.613898 -1.98248\r\nH 1.491545 -0.50468 -2.098485\r\nH 0.086326 -0.288806 -3.140561\r\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "109.47",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "110.43",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "111.01",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "121.96",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-MGO",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of periclase (MgO, COD 1000053). Treat the crystal as infinite and periodic. Around the Mg atom at fractional (0.0000, 0.0000, 0.0000), how many O atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；周期晶体。",
   "inputs": [
    {
     "name": "FA-COORD-MGO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "periclase (MgO, COD 1000053); cubic a = 4.21700 angstrom; 8 atoms; element x y z (fractional)\nMg 0.00000000 0.00000000 0.00000000\nMg 0.00000000 0.50000000 0.50000000\nMg 0.50000000 0.00000000 0.50000000\nMg 0.50000000 0.50000000 0.00000000\nO 0.00000000 0.00000000 0.50000000\nO 0.00000000 0.50000000 0.00000000\nO 0.50000000 0.00000000 0.00000000\nO 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "8 at 3.652 Å"
    },
    {
     "label": "B",
     "value": "3 at 2.109 Å"
    },
    {
     "label": "C",
     "value": "12 at 2.982 Å"
    },
    {
     "label": "D",
     "value": "6 at 2.109 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-CSCL",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of caesium chloride (CsCl, COD 9008789). Treat the crystal as infinite and periodic. Around the Cs atom at fractional (0.0000, 0.0000, 0.0000), how many Cl atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；周期晶体。",
   "inputs": [
    {
     "name": "FA-COORD-CSCL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "caesium chloride (CsCl, COD 9008789); cubic a = 4.12300 angstrom; 2 atoms; element x y z (fractional)\nCs 0.00000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "8 at 3.571 Å"
    },
    {
     "label": "B",
     "value": "1 at 3.571 Å"
    },
    {
     "label": "C",
     "value": "12 at 6.837 Å"
    },
    {
     "label": "D",
     "value": "6 at 4.123 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-SALEM2-ZN",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites). Treat the crystal as infinite and periodic. Around the Zn atom at fractional (0.0000, 0.2500, 0.5000), how many other Zn atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "一个常规立方晶胞 204 个原子；周期晶体；Zn–Zn 壳层体现方钠石拓扑的 4 连接。",
   "inputs": [
    {
     "name": "FA-COORD-SALEM2-ZN-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites); cubic a = 16.83030 angstrom; 204 atoms; element x y z (fractional)\nZn 0.00000000 0.25000000 0.50000000\nZn 0.00000000 0.50000000 0.25000000\nZn 0.00000000 0.50000000 0.75000000\nZn 0.00000000 0.75000000 0.50000000\nZn 0.25000000 0.00000000 0.50000000\nZn 0.25000000 0.50000000 0.00000000\nZn 0.50000000 0.00000000 0.25000000\nZn 0.50000000 0.00000000 0.75000000\nZn 0.50000000 0.25000000 0.00000000\nZn 0.50000000 0.75000000 0.00000000\nZn 0.75000000 0.00000000 0.50000000\nZn 0.75000000 0.50000000 0.00000000\nN 0.03668000 0.31705000 0.41076000\nN 0.03668000 0.41076000 0.31705000\nN 0.03668000 0.58924000 0.68295000\nN 0.03668000 0.68295000 0.58924000\nN 0.08924000 0.18295000 0.53668000\nN 0.08924000 0.46332000 0.81705000\nN 0.08924000 0.53668000 0.18295000\nN 0.08924000 0.81705000 0.46332000\nN 0.18295000 0.08924000 0.53668000\nN 0.18295000 0.46332000 0.91076000\nN 0.18295000 0.53668000 0.08924000\nN 0.18295000 0.91076000 0.46332000\nN 0.31705000 0.03668000 0.41076000\nN 0.31705000 0.41076000 0.03668000\nN 0.31705000 0.58924000 0.96332000\nN 0.31705000 0.96332000 0.58924000\nN 0.41076000 0.03668000 0.31705000\nN 0.41076000 0.31705000 0.03668000\nN 0.41076000 0.68295000 0.96332000\nN 0.41076000 0.96332000 0.68295000\nN 0.46332000 0.08924000 0.81705000\nN 0.46332000 0.18295000 0.91076000\nN 0.46332000 0.81705000 0.08924000\nN 0.46332000 0.91076000 0.18295000\nN 0.53668000 0.08924000 0.18295000\nN 0.53668000 0.18295000 0.08924000\nN 0.53668000 0.81705000 0.91076000\nN 0.53668000 0.91076000 0.81705000\nN 0.58924000 0.03668000 0.68295000\nN 0.58924000 0.31705000 0.96332000\nN 0.58924000 0.68295000 0.03668000\nN 0.58924000 0.96332000 0.31705000\nN 0.68295000 0.03668000 0.58924000\nN 0.68295000 0.41076000 0.96332000\nN 0.68295000 0.58924000 0.03668000\nN 0.68295000 0.96332000 0.41076000\nN 0.81705000 0.08924000 0.46332000\nN 0.81705000 0.46332000 0.08924000\nN 0.81705000 0.53668000 0.91076000\nN 0.81705000 0.91076000 0.53668000\nN 0.91076000 0.18295000 0.46332000\nN 0.91076000 0.46332000 0.18295000\nN 0.91076000 0.53668000 0.81705000\nN 0.91076000 0.81705000 0.53668000\nN 0.96332000 0.31705000 0.58924000\nN 0.96332000 0.41076000 0.68295000\nN 0.96332000 0.58924000 0.31705000\nN 0.96332000 0.68295000 0.41076000\nC 0.00390000 0.37937000 0.37937000\nC 0.00390000 0.62063000 0.62063000\nC 0.12063000 0.12063000 0.50390000\nC 0.12063000 0.49610000 0.87937000\nC 0.12063000 0.50390000 0.12063000\nC 0.12063000 0.87937000 0.49610000\nC 0.37937000 0.00390000 0.37937000\nC 0.37937000 0.37937000 0.00390000\nC 0.37937000 0.62063000 0.99610000\nC 0.37937000 0.99610000 0.62063000\nC 0.49610000 0.12063000 0.87937000\nC 0.49610000 0.87937000 0.12063000\nC 0.50390000 0.12063000 0.12063000\nC 0.50390000 0.87937000 0.87937000\nC 0.62063000 0.00390000 0.62063000\nC 0.62063000 0.37937000 0.99610000\nC 0.62063000 0.62063000 0.00390000\nC 0.62063000 0.99610000 0.37937000\nC 0.87937000 0.12063000 0.49610000\nC 0.87937000 0.49610000 0.12063000\nC 0.87937000 0.50390000 0.87937000\nC 0.87937000 0.87937000 0.50390000\nC 0.99610000 0.37937000 0.62063000\nC 0.99610000 0.62063000 0.37937000\nH 0.04310000 0.40150000 0.59850000\nH 0.04310000 0.59850000 0.40150000\nH 0.09850000 0.09850000 0.45690000\nH 0.09850000 0.45690000 0.09850000\nH 0.09850000 0.54310000 0.90150000\nH 0.09850000 0.90150000 0.54310000\nH 0.40150000 0.04310000 0.59850000\nH 0.40150000 0.40150000 0.95690000\nH 0.40150000 0.59850000 0.04310000\nH 0.40150000 0.95690000 0.40150000\nH 0.45690000 0.09850000 0.09850000\nH 0.45690000 0.90150000 0.90150000\nH 0.54310000 0.09850000 0.90150000\nH 0.54310000 0.90150000 0.09850000\nH 0.59850000 0.04310000 0.40150000\nH 0.59850000 0.40150000 0.04310000\nH 0.59850000 0.59850000 0.95690000\nH 0.59850000 0.95690000 0.59850000\nH 0.90150000 0.09850000 0.54310000\nH 0.90150000 0.45690000 0.90150000\nH 0.90150000 0.54310000 0.09850000\nH 0.90150000 0.90150000 0.45690000\nH 0.95690000 0.40150000 0.40150000\nH 0.95690000 0.59850000 0.59850000\nC 0.10830000 0.31750000 0.37370000\nC 0.10830000 0.37370000 0.31750000\nC 0.10830000 0.62630000 0.68250000\nC 0.10830000 0.68250000 0.62630000\nC 0.12630000 0.18250000 0.60830000\nC 0.12630000 0.39170000 0.81750000\nC 0.12630000 0.60830000 0.18250000\nC 0.12630000 0.81750000 0.39170000\nC 0.18250000 0.12630000 0.60830000\nC 0.18250000 0.39170000 0.87370000\nC 0.18250000 0.60830000 0.12630000\nC 0.18250000 0.87370000 0.39170000\nC 0.31750000 0.10830000 0.37370000\nC 0.31750000 0.37370000 0.10830000\nC 0.31750000 0.62630000 0.89170000\nC 0.31750000 0.89170000 0.62630000\nC 0.37370000 0.10830000 0.31750000\nC 0.37370000 0.31750000 0.10830000\nC 0.37370000 0.68250000 0.89170000\nC 0.37370000 0.89170000 0.68250000\nC 0.39170000 0.12630000 0.81750000\nC 0.39170000 0.18250000 0.87370000\nC 0.39170000 0.81750000 0.12630000\nC 0.39170000 0.87370000 0.18250000\nC 0.60830000 0.12630000 0.18250000\nC 0.60830000 0.18250000 0.12630000\nC 0.60830000 0.81750000 0.87370000\nC 0.60830000 0.87370000 0.81750000\nC 0.62630000 0.10830000 0.68250000\nC 0.62630000 0.31750000 0.89170000\nC 0.62630000 0.68250000 0.10830000\nC 0.62630000 0.89170000 0.31750000\nC 0.68250000 0.10830000 0.62630000\nC 0.68250000 0.37370000 0.89170000\nC 0.68250000 0.62630000 0.10830000\nC 0.68250000 0.89170000 0.37370000\nC 0.81750000 0.12630000 0.39170000\nC 0.81750000 0.39170000 0.12630000\nC 0.81750000 0.60830000 0.87370000\nC 0.81750000 0.87370000 0.60830000\nC 0.87370000 0.18250000 0.39170000\nC 0.87370000 0.39170000 0.18250000\nC 0.87370000 0.60830000 0.81750000\nC 0.87370000 0.81750000 0.60830000\nC 0.89170000 0.31750000 0.62630000\nC 0.89170000 0.37370000 0.68250000\nC 0.89170000 0.62630000 0.31750000\nC 0.89170000 0.68250000 0.37370000\nH 0.11430000 0.21670000 0.65160000\nH 0.11430000 0.34840000 0.78330000\nH 0.11430000 0.65160000 0.21670000\nH 0.11430000 0.78330000 0.34840000\nH 0.15160000 0.28330000 0.38570000\nH 0.15160000 0.38570000 0.28330000\nH 0.15160000 0.61430000 0.71670000\nH 0.15160000 0.71670000 0.61430000\nH 0.21670000 0.11430000 0.65160000\nH 0.21670000 0.34840000 0.88570000\nH 0.21670000 0.65160000 0.11430000\nH 0.21670000 0.88570000 0.34840000\nH 0.28330000 0.15160000 0.38570000\nH 0.28330000 0.38570000 0.15160000\nH 0.28330000 0.61430000 0.84840000\nH 0.28330000 0.84840000 0.61430000\nH 0.34840000 0.11430000 0.78330000\nH 0.34840000 0.21670000 0.88570000\nH 0.34840000 0.78330000 0.11430000\nH 0.34840000 0.88570000 0.21670000\nH 0.38570000 0.15160000 0.28330000\nH 0.38570000 0.28330000 0.15160000\nH 0.38570000 0.71670000 0.84840000\nH 0.38570000 0.84840000 0.71670000\nH 0.61430000 0.15160000 0.71670000\nH 0.61430000 0.28330000 0.84840000\nH 0.61430000 0.71670000 0.15160000\nH 0.61430000 0.84840000 0.28330000\nH 0.65160000 0.11430000 0.21670000\nH 0.65160000 0.21670000 0.11430000\nH 0.65160000 0.78330000 0.88570000\nH 0.65160000 0.88570000 0.78330000\nH 0.71670000 0.15160000 0.61430000\nH 0.71670000 0.38570000 0.84840000\nH 0.71670000 0.61430000 0.15160000\nH 0.71670000 0.84840000 0.38570000\nH 0.78330000 0.11430000 0.34840000\nH 0.78330000 0.34840000 0.11430000\nH 0.78330000 0.65160000 0.88570000\nH 0.78330000 0.88570000 0.65160000\nH 0.84840000 0.28330000 0.61430000\nH 0.84840000 0.38570000 0.71670000\nH 0.84840000 0.61430000 0.28330000\nH 0.84840000 0.71670000 0.38570000\nH 0.88570000 0.21670000 0.34840000\nH 0.88570000 0.34840000 0.21670000\nH 0.88570000 0.65160000 0.78330000\nH 0.88570000 0.78330000 0.65160000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3 at 5.950 Å"
    },
    {
     "label": "B",
     "value": "4 at 5.950 Å"
    },
    {
     "label": "C",
     "value": "2 at 5.950 Å"
    },
    {
     "label": "D",
     "value": "2 at 8.415 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-MOF5-NODE",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Treat the crystal as infinite and periodic. Around the central μ4-O atom of a Zn4O cluster (the O bonded to four Zn) at fractional (0.2500, 0.2500, 0.2500), how many other μ4-O atoms (Zn4O cluster centres) form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "一个常规立方晶胞 424 个原子；周期晶体；节点–节点壳层体现 pcu 网络的 6 连接。",
   "inputs": [
    {
     "name": "FA-COORD-MOF5-NODE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "MOF-5 (Zn4O(BDC)3, COD 1516287); cubic a = 25.82470 angstrom; 424 atoms; element x y z (fractional)\nZn 0.20647400 0.20647400 0.29352600\nZn 0.20647400 0.20647400 0.70647400\nZn 0.20647400 0.29352600 0.20647400\nZn 0.20647400 0.29352600 0.79352600\nZn 0.20647400 0.70647400 0.20647400\nZn 0.20647400 0.70647400 0.79352600\nZn 0.20647400 0.79352600 0.29352600\nZn 0.20647400 0.79352600 0.70647400\nZn 0.29352600 0.20647400 0.20647400\nZn 0.29352600 0.20647400 0.79352600\nZn 0.29352600 0.29352600 0.29352600\nZn 0.29352600 0.29352600 0.70647400\nZn 0.29352600 0.70647400 0.29352600\nZn 0.29352600 0.70647400 0.70647400\nZn 0.29352600 0.79352600 0.20647400\nZn 0.29352600 0.79352600 0.79352600\nZn 0.70647400 0.20647400 0.20647400\nZn 0.70647400 0.20647400 0.79352600\nZn 0.70647400 0.29352600 0.29352600\nZn 0.70647400 0.29352600 0.70647400\nZn 0.70647400 0.70647400 0.29352600\nZn 0.70647400 0.70647400 0.70647400\nZn 0.70647400 0.79352600 0.20647400\nZn 0.70647400 0.79352600 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0.02653000\nC 0.21787000 0.28213000 0.97347000\nC 0.21787000 0.47347000 0.21787000\nC 0.21787000 0.47347000 0.78213000\nC 0.21787000 0.52653000 0.21787000\nC 0.21787000 0.52653000 0.78213000\nC 0.21787000 0.71787000 0.02653000\nC 0.21787000 0.71787000 0.97347000\nC 0.21787000 0.78213000 0.47347000\nC 0.21787000 0.78213000 0.52653000\nC 0.21787000 0.97347000 0.28213000\nC 0.21787000 0.97347000 0.71787000\nC 0.28213000 0.02653000 0.21787000\nC 0.28213000 0.02653000 0.78213000\nC 0.28213000 0.21787000 0.02653000\nC 0.28213000 0.21787000 0.97347000\nC 0.28213000 0.28213000 0.47347000\nC 0.28213000 0.28213000 0.52653000\nC 0.28213000 0.47347000 0.28213000\nC 0.28213000 0.47347000 0.71787000\nC 0.28213000 0.52653000 0.28213000\nC 0.28213000 0.52653000 0.71787000\nC 0.28213000 0.71787000 0.47347000\nC 0.28213000 0.71787000 0.52653000\nC 0.28213000 0.78213000 0.02653000\nC 0.28213000 0.78213000 0.97347000\nC 0.28213000 0.97347000 0.21787000\nC 0.28213000 0.97347000 0.78213000\nC 0.47347000 0.21787000 0.21787000\nC 0.47347000 0.21787000 0.78213000\nC 0.47347000 0.28213000 0.28213000\nC 0.47347000 0.28213000 0.71787000\nC 0.47347000 0.71787000 0.28213000\nC 0.47347000 0.71787000 0.71787000\nC 0.47347000 0.78213000 0.21787000\nC 0.47347000 0.78213000 0.78213000\nC 0.52653000 0.21787000 0.21787000\nC 0.52653000 0.21787000 0.78213000\nC 0.52653000 0.28213000 0.28213000\nC 0.52653000 0.28213000 0.71787000\nC 0.52653000 0.71787000 0.28213000\nC 0.52653000 0.71787000 0.71787000\nC 0.52653000 0.78213000 0.21787000\nC 0.52653000 0.78213000 0.78213000\nC 0.71787000 0.02653000 0.21787000\nC 0.71787000 0.02653000 0.78213000\nC 0.71787000 0.21787000 0.02653000\nC 0.71787000 0.21787000 0.97347000\nC 0.71787000 0.28213000 0.47347000\nC 0.71787000 0.28213000 0.52653000\nC 0.71787000 0.47347000 0.28213000\nC 0.71787000 0.47347000 0.71787000\nC 0.71787000 0.52653000 0.28213000\nC 0.71787000 0.52653000 0.71787000\nC 0.71787000 0.71787000 0.47347000\nC 0.71787000 0.71787000 0.52653000\nC 0.71787000 0.78213000 0.02653000\nC 0.71787000 0.78213000 0.97347000\nC 0.71787000 0.97347000 0.21787000\nC 0.71787000 0.97347000 0.78213000\nC 0.78213000 0.02653000 0.28213000\nC 0.78213000 0.02653000 0.71787000\nC 0.78213000 0.21787000 0.47347000\nC 0.78213000 0.21787000 0.52653000\nC 0.78213000 0.28213000 0.02653000\nC 0.78213000 0.28213000 0.97347000\nC 0.78213000 0.47347000 0.21787000\nC 0.78213000 0.47347000 0.78213000\nC 0.78213000 0.52653000 0.21787000\nC 0.78213000 0.52653000 0.78213000\nC 0.78213000 0.71787000 0.02653000\nC 0.78213000 0.71787000 0.97347000\nC 0.78213000 0.78213000 0.47347000\nC 0.78213000 0.78213000 0.52653000\nC 0.78213000 0.97347000 0.28213000\nC 0.78213000 0.97347000 0.71787000\nC 0.97347000 0.21787000 0.28213000\nC 0.97347000 0.21787000 0.71787000\nC 0.97347000 0.28213000 0.21787000\nC 0.97347000 0.28213000 0.78213000\nC 0.97347000 0.71787000 0.21787000\nC 0.97347000 0.71787000 0.78213000\nC 0.97347000 0.78213000 0.28213000\nC 0.97347000 0.78213000 0.71787000\nH 0.04430000 0.19570000 0.30430000\nH 0.04430000 0.19570000 0.69570000\nH 0.04430000 0.30430000 0.19570000\nH 0.04430000 0.30430000 0.80430000\nH 0.04430000 0.69570000 0.19570000\nH 0.04430000 0.69570000 0.80430000\nH 0.04430000 0.80430000 0.30430000\nH 0.04430000 0.80430000 0.69570000\nH 0.19570000 0.04430000 0.30430000\nH 0.19570000 0.04430000 0.69570000\nH 0.19570000 0.19570000 0.45570000\nH 0.19570000 0.19570000 0.54430000\nH 0.19570000 0.30430000 0.04430000\nH 0.19570000 0.30430000 0.95570000\nH 0.19570000 0.45570000 0.19570000\nH 0.19570000 0.45570000 0.80430000\nH 0.19570000 0.54430000 0.19570000\nH 0.19570000 0.54430000 0.80430000\nH 0.19570000 0.69570000 0.04430000\nH 0.19570000 0.69570000 0.95570000\nH 0.19570000 0.80430000 0.45570000\nH 0.19570000 0.80430000 0.54430000\nH 0.19570000 0.95570000 0.30430000\nH 0.19570000 0.95570000 0.69570000\nH 0.30430000 0.04430000 0.19570000\nH 0.30430000 0.04430000 0.80430000\nH 0.30430000 0.19570000 0.04430000\nH 0.30430000 0.19570000 0.95570000\nH 0.30430000 0.30430000 0.45570000\nH 0.30430000 0.30430000 0.54430000\nH 0.30430000 0.45570000 0.30430000\nH 0.30430000 0.45570000 0.69570000\nH 0.30430000 0.54430000 0.30430000\nH 0.30430000 0.54430000 0.69570000\nH 0.30430000 0.69570000 0.45570000\nH 0.30430000 0.69570000 0.54430000\nH 0.30430000 0.80430000 0.04430000\nH 0.30430000 0.80430000 0.95570000\nH 0.30430000 0.95570000 0.19570000\nH 0.30430000 0.95570000 0.80430000\nH 0.45570000 0.19570000 0.19570000\nH 0.45570000 0.19570000 0.80430000\nH 0.45570000 0.30430000 0.30430000\nH 0.45570000 0.30430000 0.69570000\nH 0.45570000 0.69570000 0.30430000\nH 0.45570000 0.69570000 0.69570000\nH 0.45570000 0.80430000 0.19570000\nH 0.45570000 0.80430000 0.80430000\nH 0.54430000 0.19570000 0.19570000\nH 0.54430000 0.19570000 0.80430000\nH 0.54430000 0.30430000 0.30430000\nH 0.54430000 0.30430000 0.69570000\nH 0.54430000 0.69570000 0.30430000\nH 0.54430000 0.69570000 0.69570000\nH 0.54430000 0.80430000 0.19570000\nH 0.54430000 0.80430000 0.80430000\nH 0.69570000 0.04430000 0.19570000\nH 0.69570000 0.04430000 0.80430000\nH 0.69570000 0.19570000 0.04430000\nH 0.69570000 0.19570000 0.95570000\nH 0.69570000 0.30430000 0.45570000\nH 0.69570000 0.30430000 0.54430000\nH 0.69570000 0.45570000 0.30430000\nH 0.69570000 0.45570000 0.69570000\nH 0.69570000 0.54430000 0.30430000\nH 0.69570000 0.54430000 0.69570000\nH 0.69570000 0.69570000 0.45570000\nH 0.69570000 0.69570000 0.54430000\nH 0.69570000 0.80430000 0.04430000\nH 0.69570000 0.80430000 0.95570000\nH 0.69570000 0.95570000 0.19570000\nH 0.69570000 0.95570000 0.80430000\nH 0.80430000 0.04430000 0.30430000\nH 0.80430000 0.04430000 0.69570000\nH 0.80430000 0.19570000 0.45570000\nH 0.80430000 0.19570000 0.54430000\nH 0.80430000 0.30430000 0.04430000\nH 0.80430000 0.30430000 0.95570000\nH 0.80430000 0.45570000 0.19570000\nH 0.80430000 0.45570000 0.80430000\nH 0.80430000 0.54430000 0.19570000\nH 0.80430000 0.54430000 0.80430000\nH 0.80430000 0.69570000 0.04430000\nH 0.80430000 0.69570000 0.95570000\nH 0.80430000 0.80430000 0.45570000\nH 0.80430000 0.80430000 0.54430000\nH 0.80430000 0.95570000 0.30430000\nH 0.80430000 0.95570000 0.69570000\nH 0.95570000 0.19570000 0.30430000\nH 0.95570000 0.19570000 0.69570000\nH 0.95570000 0.30430000 0.19570000\nH 0.95570000 0.30430000 0.80430000\nH 0.95570000 0.69570000 0.19570000\nH 0.95570000 0.69570000 0.80430000\nH 0.95570000 0.80430000 0.30430000\nH 0.95570000 0.80430000 0.69570000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12 at 3.200 Å"
    },
    {
     "label": "B",
     "value": "12 at 18.261 Å"
    },
    {
     "label": "C",
     "value": "6 at 12.912 Å"
    },
    {
     "label": "D",
     "value": "3 at 12.912 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-NACL",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cl = 17, Na = 11). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-NACL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "13.68",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "15.70",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "22.27",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "27.36",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-CSCL",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of caesium chloride (CsCl, COD 9008789). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cl = 17, Cs = 55). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-CSCL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "caesium chloride (CsCl, COD 9008789); cubic a = 4.12300 angstrom; 2 atoms; element x y z (fractional)\nCs 0.00000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "21.54",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "30.64",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "37.76",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "43.88",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-MGO",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of periclase (MgO, COD 1000053). Use the kinematic structure factor with atomic numbers as angle-independent weights (Mg = 12, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-MGO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "periclase (MgO, COD 1000053); cubic a = 4.21700 angstrom; 8 atoms; element x y z (fractional)\nMg 0.00000000 0.00000000 0.00000000\nMg 0.00000000 0.50000000 0.50000000\nMg 0.50000000 0.00000000 0.50000000\nMg 0.50000000 0.50000000 0.00000000\nO 0.00000000 0.00000000 0.50000000\nO 0.00000000 0.50000000 0.00000000\nO 0.50000000 0.00000000 0.00000000\nO 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "29.94",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "36.89",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "42.86",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "78.51",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-SALEM2",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "204 原子整胞；运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-SALEM2-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites); cubic a = 16.83030 angstrom; 204 atoms; element x y z (fractional)\nZn 0.00000000 0.25000000 0.50000000\nZn 0.00000000 0.50000000 0.25000000\nZn 0.00000000 0.50000000 0.75000000\nZn 0.00000000 0.75000000 0.50000000\nZn 0.25000000 0.00000000 0.50000000\nZn 0.25000000 0.50000000 0.00000000\nZn 0.50000000 0.00000000 0.25000000\nZn 0.50000000 0.00000000 0.75000000\nZn 0.50000000 0.25000000 0.00000000\nZn 0.50000000 0.75000000 0.00000000\nZn 0.75000000 0.00000000 0.50000000\nZn 0.75000000 0.50000000 0.00000000\nN 0.03668000 0.31705000 0.41076000\nN 0.03668000 0.41076000 0.31705000\nN 0.03668000 0.58924000 0.68295000\nN 0.03668000 0.68295000 0.58924000\nN 0.08924000 0.18295000 0.53668000\nN 0.08924000 0.46332000 0.81705000\nN 0.08924000 0.53668000 0.18295000\nN 0.08924000 0.81705000 0.46332000\nN 0.18295000 0.08924000 0.53668000\nN 0.18295000 0.46332000 0.91076000\nN 0.18295000 0.53668000 0.08924000\nN 0.18295000 0.91076000 0.46332000\nN 0.31705000 0.03668000 0.41076000\nN 0.31705000 0.41076000 0.03668000\nN 0.31705000 0.58924000 0.96332000\nN 0.31705000 0.96332000 0.58924000\nN 0.41076000 0.03668000 0.31705000\nN 0.41076000 0.31705000 0.03668000\nN 0.41076000 0.68295000 0.96332000\nN 0.41076000 0.96332000 0.68295000\nN 0.46332000 0.08924000 0.81705000\nN 0.46332000 0.18295000 0.91076000\nN 0.46332000 0.81705000 0.08924000\nN 0.46332000 0.91076000 0.18295000\nN 0.53668000 0.08924000 0.18295000\nN 0.53668000 0.18295000 0.08924000\nN 0.53668000 0.81705000 0.91076000\nN 0.53668000 0.91076000 0.81705000\nN 0.58924000 0.03668000 0.68295000\nN 0.58924000 0.31705000 0.96332000\nN 0.58924000 0.68295000 0.03668000\nN 0.58924000 0.96332000 0.31705000\nN 0.68295000 0.03668000 0.58924000\nN 0.68295000 0.41076000 0.96332000\nN 0.68295000 0.58924000 0.03668000\nN 0.68295000 0.96332000 0.41076000\nN 0.81705000 0.08924000 0.46332000\nN 0.81705000 0.46332000 0.08924000\nN 0.81705000 0.53668000 0.91076000\nN 0.81705000 0.91076000 0.53668000\nN 0.91076000 0.18295000 0.46332000\nN 0.91076000 0.46332000 0.18295000\nN 0.91076000 0.53668000 0.81705000\nN 0.91076000 0.81705000 0.53668000\nN 0.96332000 0.31705000 0.58924000\nN 0.96332000 0.41076000 0.68295000\nN 0.96332000 0.58924000 0.31705000\nN 0.96332000 0.68295000 0.41076000\nC 0.00390000 0.37937000 0.37937000\nC 0.00390000 0.62063000 0.62063000\nC 0.12063000 0.12063000 0.50390000\nC 0.12063000 0.49610000 0.87937000\nC 0.12063000 0.50390000 0.12063000\nC 0.12063000 0.87937000 0.49610000\nC 0.37937000 0.00390000 0.37937000\nC 0.37937000 0.37937000 0.00390000\nC 0.37937000 0.62063000 0.99610000\nC 0.37937000 0.99610000 0.62063000\nC 0.49610000 0.12063000 0.87937000\nC 0.49610000 0.87937000 0.12063000\nC 0.50390000 0.12063000 0.12063000\nC 0.50390000 0.87937000 0.87937000\nC 0.62063000 0.00390000 0.62063000\nC 0.62063000 0.37937000 0.99610000\nC 0.62063000 0.62063000 0.00390000\nC 0.62063000 0.99610000 0.37937000\nC 0.87937000 0.12063000 0.49610000\nC 0.87937000 0.49610000 0.12063000\nC 0.87937000 0.50390000 0.87937000\nC 0.87937000 0.87937000 0.50390000\nC 0.99610000 0.37937000 0.62063000\nC 0.99610000 0.62063000 0.37937000\nH 0.04310000 0.40150000 0.59850000\nH 0.04310000 0.59850000 0.40150000\nH 0.09850000 0.09850000 0.45690000\nH 0.09850000 0.45690000 0.09850000\nH 0.09850000 0.54310000 0.90150000\nH 0.09850000 0.90150000 0.54310000\nH 0.40150000 0.04310000 0.59850000\nH 0.40150000 0.40150000 0.95690000\nH 0.40150000 0.59850000 0.04310000\nH 0.40150000 0.95690000 0.40150000\nH 0.45690000 0.09850000 0.09850000\nH 0.45690000 0.90150000 0.90150000\nH 0.54310000 0.09850000 0.90150000\nH 0.54310000 0.90150000 0.09850000\nH 0.59850000 0.04310000 0.40150000\nH 0.59850000 0.40150000 0.04310000\nH 0.59850000 0.59850000 0.95690000\nH 0.59850000 0.95690000 0.59850000\nH 0.90150000 0.09850000 0.54310000\nH 0.90150000 0.45690000 0.90150000\nH 0.90150000 0.54310000 0.09850000\nH 0.90150000 0.90150000 0.45690000\nH 0.95690000 0.40150000 0.40150000\nH 0.95690000 0.59850000 0.59850000\nC 0.10830000 0.31750000 0.37370000\nC 0.10830000 0.37370000 0.31750000\nC 0.10830000 0.62630000 0.68250000\nC 0.10830000 0.68250000 0.62630000\nC 0.12630000 0.18250000 0.60830000\nC 0.12630000 0.39170000 0.81750000\nC 0.12630000 0.60830000 0.18250000\nC 0.12630000 0.81750000 0.39170000\nC 0.18250000 0.12630000 0.60830000\nC 0.18250000 0.39170000 0.87370000\nC 0.18250000 0.60830000 0.12630000\nC 0.18250000 0.87370000 0.39170000\nC 0.31750000 0.10830000 0.37370000\nC 0.31750000 0.37370000 0.10830000\nC 0.31750000 0.62630000 0.89170000\nC 0.31750000 0.89170000 0.62630000\nC 0.37370000 0.10830000 0.31750000\nC 0.37370000 0.31750000 0.10830000\nC 0.37370000 0.68250000 0.89170000\nC 0.37370000 0.89170000 0.68250000\nC 0.39170000 0.12630000 0.81750000\nC 0.39170000 0.18250000 0.87370000\nC 0.39170000 0.81750000 0.12630000\nC 0.39170000 0.87370000 0.18250000\nC 0.60830000 0.12630000 0.18250000\nC 0.60830000 0.18250000 0.12630000\nC 0.60830000 0.81750000 0.87370000\nC 0.60830000 0.87370000 0.81750000\nC 0.62630000 0.10830000 0.68250000\nC 0.62630000 0.31750000 0.89170000\nC 0.62630000 0.68250000 0.10830000\nC 0.62630000 0.89170000 0.31750000\nC 0.68250000 0.10830000 0.62630000\nC 0.68250000 0.37370000 0.89170000\nC 0.68250000 0.62630000 0.10830000\nC 0.68250000 0.89170000 0.37370000\nC 0.81750000 0.12630000 0.39170000\nC 0.81750000 0.39170000 0.12630000\nC 0.81750000 0.60830000 0.87370000\nC 0.81750000 0.87370000 0.60830000\nC 0.87370000 0.18250000 0.39170000\nC 0.87370000 0.39170000 0.18250000\nC 0.87370000 0.60830000 0.81750000\nC 0.87370000 0.81750000 0.60830000\nC 0.89170000 0.31750000 0.62630000\nC 0.89170000 0.37370000 0.68250000\nC 0.89170000 0.62630000 0.31750000\nC 0.89170000 0.68250000 0.37370000\nH 0.11430000 0.21670000 0.65160000\nH 0.11430000 0.34840000 0.78330000\nH 0.11430000 0.65160000 0.21670000\nH 0.11430000 0.78330000 0.34840000\nH 0.15160000 0.28330000 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3.71",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "5.25",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "7.42",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "9.09",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-MOF5",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, O = 8, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "424 原子整胞；运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-MOF5-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
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0.21787000 0.21787000\nC 0.47347000 0.21787000 0.78213000\nC 0.47347000 0.28213000 0.28213000\nC 0.47347000 0.28213000 0.71787000\nC 0.47347000 0.71787000 0.28213000\nC 0.47347000 0.71787000 0.71787000\nC 0.47347000 0.78213000 0.21787000\nC 0.47347000 0.78213000 0.78213000\nC 0.52653000 0.21787000 0.21787000\nC 0.52653000 0.21787000 0.78213000\nC 0.52653000 0.28213000 0.28213000\nC 0.52653000 0.28213000 0.71787000\nC 0.52653000 0.71787000 0.28213000\nC 0.52653000 0.71787000 0.71787000\nC 0.52653000 0.78213000 0.21787000\nC 0.52653000 0.78213000 0.78213000\nC 0.71787000 0.02653000 0.21787000\nC 0.71787000 0.02653000 0.78213000\nC 0.71787000 0.21787000 0.02653000\nC 0.71787000 0.21787000 0.97347000\nC 0.71787000 0.28213000 0.47347000\nC 0.71787000 0.28213000 0.52653000\nC 0.71787000 0.47347000 0.28213000\nC 0.71787000 0.47347000 0.71787000\nC 0.71787000 0.52653000 0.28213000\nC 0.71787000 0.52653000 0.71787000\nC 0.71787000 0.71787000 0.47347000\nC 0.71787000 0.71787000 0.52653000\nC 0.71787000 0.78213000 0.02653000\nC 0.71787000 0.78213000 0.97347000\nC 0.71787000 0.97347000 0.21787000\nC 0.71787000 0.97347000 0.78213000\nC 0.78213000 0.02653000 0.28213000\nC 0.78213000 0.02653000 0.71787000\nC 0.78213000 0.21787000 0.47347000\nC 0.78213000 0.21787000 0.52653000\nC 0.78213000 0.28213000 0.02653000\nC 0.78213000 0.28213000 0.97347000\nC 0.78213000 0.47347000 0.21787000\nC 0.78213000 0.47347000 0.78213000\nC 0.78213000 0.52653000 0.21787000\nC 0.78213000 0.52653000 0.78213000\nC 0.78213000 0.71787000 0.02653000\nC 0.78213000 0.71787000 0.97347000\nC 0.78213000 0.78213000 0.47347000\nC 0.78213000 0.78213000 0.52653000\nC 0.78213000 0.97347000 0.28213000\nC 0.78213000 0.97347000 0.71787000\nC 0.97347000 0.21787000 0.28213000\nC 0.97347000 0.21787000 0.71787000\nC 0.97347000 0.28213000 0.21787000\nC 0.97347000 0.28213000 0.78213000\nC 0.97347000 0.71787000 0.21787000\nC 0.97347000 0.71787000 0.78213000\nC 0.97347000 0.78213000 0.28213000\nC 0.97347000 0.78213000 0.71787000\nH 0.04430000 0.19570000 0.30430000\nH 0.04430000 0.19570000 0.69570000\nH 0.04430000 0.30430000 0.19570000\nH 0.04430000 0.30430000 0.80430000\nH 0.04430000 0.69570000 0.19570000\nH 0.04430000 0.69570000 0.80430000\nH 0.04430000 0.80430000 0.30430000\nH 0.04430000 0.80430000 0.69570000\nH 0.19570000 0.04430000 0.30430000\nH 0.19570000 0.04430000 0.69570000\nH 0.19570000 0.19570000 0.45570000\nH 0.19570000 0.19570000 0.54430000\nH 0.19570000 0.30430000 0.04430000\nH 0.19570000 0.30430000 0.95570000\nH 0.19570000 0.45570000 0.19570000\nH 0.19570000 0.45570000 0.80430000\nH 0.19570000 0.54430000 0.19570000\nH 0.19570000 0.54430000 0.80430000\nH 0.19570000 0.69570000 0.04430000\nH 0.19570000 0.69570000 0.95570000\nH 0.19570000 0.80430000 0.45570000\nH 0.19570000 0.80430000 0.54430000\nH 0.19570000 0.95570000 0.30430000\nH 0.19570000 0.95570000 0.69570000\nH 0.30430000 0.04430000 0.19570000\nH 0.30430000 0.04430000 0.80430000\nH 0.30430000 0.19570000 0.04430000\nH 0.30430000 0.19570000 0.95570000\nH 0.30430000 0.30430000 0.45570000\nH 0.30430000 0.30430000 0.54430000\nH 0.30430000 0.45570000 0.30430000\nH 0.30430000 0.45570000 0.69570000\nH 0.30430000 0.54430000 0.30430000\nH 0.30430000 0.54430000 0.69570000\nH 0.30430000 0.69570000 0.45570000\nH 0.30430000 0.69570000 0.54430000\nH 0.30430000 0.80430000 0.04430000\nH 0.30430000 0.80430000 0.95570000\nH 0.30430000 0.95570000 0.19570000\nH 0.30430000 0.95570000 0.80430000\nH 0.45570000 0.19570000 0.19570000\nH 0.45570000 0.19570000 0.80430000\nH 0.45570000 0.30430000 0.30430000\nH 0.45570000 0.30430000 0.69570000\nH 0.45570000 0.69570000 0.30430000\nH 0.45570000 0.69570000 0.69570000\nH 0.45570000 0.80430000 0.19570000\nH 0.45570000 0.80430000 0.80430000\nH 0.54430000 0.19570000 0.19570000\nH 0.54430000 0.19570000 0.80430000\nH 0.54430000 0.30430000 0.30430000\nH 0.54430000 0.30430000 0.69570000\nH 0.54430000 0.69570000 0.30430000\nH 0.54430000 0.69570000 0.69570000\nH 0.54430000 0.80430000 0.19570000\nH 0.54430000 0.80430000 0.80430000\nH 0.69570000 0.04430000 0.19570000\nH 0.69570000 0.04430000 0.80430000\nH 0.69570000 0.19570000 0.04430000\nH 0.69570000 0.19570000 0.95570000\nH 0.69570000 0.30430000 0.45570000\nH 0.69570000 0.30430000 0.54430000\nH 0.69570000 0.45570000 0.30430000\nH 0.69570000 0.45570000 0.69570000\nH 0.69570000 0.54430000 0.30430000\nH 0.69570000 0.54430000 0.69570000\nH 0.69570000 0.69570000 0.45570000\nH 0.69570000 0.69570000 0.54430000\nH 0.69570000 0.80430000 0.04430000\nH 0.69570000 0.80430000 0.95570000\nH 0.69570000 0.95570000 0.19570000\nH 0.69570000 0.95570000 0.80430000\nH 0.80430000 0.04430000 0.30430000\nH 0.80430000 0.04430000 0.69570000\nH 0.80430000 0.19570000 0.45570000\nH 0.80430000 0.19570000 0.54430000\nH 0.80430000 0.30430000 0.04430000\nH 0.80430000 0.30430000 0.95570000\nH 0.80430000 0.45570000 0.19570000\nH 0.80430000 0.45570000 0.80430000\nH 0.80430000 0.54430000 0.19570000\nH 0.80430000 0.54430000 0.80430000\nH 0.80430000 0.69570000 0.04430000\nH 0.80430000 0.69570000 0.95570000\nH 0.80430000 0.80430000 0.45570000\nH 0.80430000 0.80430000 0.54430000\nH 0.80430000 0.95570000 0.30430000\nH 0.80430000 0.95570000 0.69570000\nH 0.95570000 0.19570000 0.30430000\nH 0.95570000 0.19570000 0.69570000\nH 0.95570000 0.30430000 0.19570000\nH 0.95570000 0.30430000 0.80430000\nH 0.95570000 0.69570000 0.19570000\nH 0.95570000 0.69570000 0.80430000\nH 0.95570000 0.80430000 0.30430000\nH 0.95570000 0.80430000 0.69570000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.96",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "3.42",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "4.84",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "5.92",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FRET-1EHZ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1EHZ (yeast tRNA-Phe), copied unchanged. Model a FRET donor as a point at atom C1' of nucleotide A76 and an acceptor as a point at atom C1' of nucleotide A35. Assume a Förster radius R0 = 6.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针；R0 为题设值；不代表真实染料位置。",
   "inputs": [
    {
     "name": "1EHZ-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  OP3   G A   1      50.193  51.190  50.534  1.00 99.85           O\nATOM      2  P     G A   1      50.626  49.730  50.573  1.00100.19           P\nATOM      3  OP1   G A   1      49.854  48.893  49.562  1.00100.19           O\nATOM      4  OP2   G A   1      52.137  49.542  50.511  1.00 99.21           O\nATOM      5  O5'   G A   1      50.161  49.136  52.023  1.00 99.82           O\nATOM      6  C5'   G A   1      50.216  49.948  53.210  1.00 98.63           C\nATOM      7  C4'   G A   1      50.968  49.231  54.309  1.00 97.84           C\nATOM      8  O4'   G A   1      50.450  47.888  54.472  1.00 97.10           O\nATOM      9  C3'   G A   1      52.454  49.030  54.074  1.00 98.07           C\nATOM     10  O3'   G A   1      53.203  50.177  54.425  1.00 99.39           O\nATOM     11  C2'   G A   1      52.781  47.831  54.957  1.00 96.96           C\nATOM     12  O2'   G A   1      53.018  48.156  56.313  1.00 96.77           O\nATOM     13  C1'   G A   1      51.502  47.007  54.836  1.00 95.70           C\nATOM     14  N9    G A   1      51.628  45.992  53.798  1.00 93.67           N\nATOM     15  C8    G A   1      51.064  46.007  52.547  1.00 92.60           C\nATOM     16  N7    G A   1      51.379  44.966  51.831  1.00 91.19           N\nATOM     17  C5    G A   1      52.197  44.218  52.658  1.00 91.47           C\nATOM     18  C6    G A   1      52.848  42.992  52.425  1.00 90.68           C\nATOM     19  O6    G A   1      52.826  42.291  51.404  1.00 90.38           O\nATOM     20  N1    G A   1      53.588  42.588  53.534  1.00 90.71           N\nATOM     21  C2    G A   1      53.685  43.282  54.716  1.00 91.21           C\nATOM     22  N2    G A   1      54.452  42.733  55.671  1.00 91.23           N\nATOM     23  N3    G A   1      53.077  44.429  54.946  1.00 91.92           N\nATOM     24  C4    G A   1      52.356  44.836  53.879  1.00 92.62           C\nATOM     25  P     C A   2      54.635  50.420  53.741  1.00100.19           P\nATOM     26  OP1   C A   2      55.145  51.726  54.238  1.00100.19           O\nATOM     27  OP2   C A   2      54.465  50.204  52.269  1.00100.19           O\nATOM     28  O5'   C A   2      55.563  49.261  54.342  1.00 98.27           O\nATOM     29  C5'   C A   2      55.925  49.246  55.742  1.00 95.40           C\nATOM     30  C4'   C A   2      56.836  48.075  56.049  1.00 93.33           C\nATOM     31  O4'   C A   2      56.122  46.828  55.830  1.00 92.18           O\nATOM     32  C3'   C A   2      58.090  47.947  55.197  1.00 92.75           C\nATOM     33  O3'   C A   2      59.174  48.753  55.651  1.00 92.89           O\nATOM     34  C2'   C A   2      58.416  46.463  55.298  1.00 91.81           C\nATOM     35  O2'   C A   2      59.140  46.136  56.466  1.00 91.36           O\nATOM     36  C1'   C A   2      57.022  45.836  55.356  1.00 90.59           C\nATOM     37  N1    C A   2      56.570  45.364  54.029  1.00 88.84           N\nATOM     38  C2    C A   2      57.094  44.157  53.520  1.00 88.64           C\nATOM     39  O2    C A   2      57.921  43.516  54.198  1.00 88.97           O\nATOM     40  N3    C A   2      56.686  43.721  52.301  1.00 87.36           N\nATOM     41  C4    C A   2      55.802  44.437  51.597  1.00 87.11           C\nATOM     42  N4    C A   2      55.430  43.972  50.397  1.00 86.30           N\nATOM     43  C5    C A   2      55.259  45.660  52.089  1.00 86.87           C\nATOM     44  C6    C A   2      55.663  46.080  53.296  1.00 88.01           C\nATOM     45  P     G A   3      60.184  49.419  54.574  1.00 92.31           P\nATOM     46  OP1   G A   3      61.015  50.422  55.295  1.00 92.97           O\nATOM     47  OP2   G A   3      59.371  49.857  53.404  1.00 91.56           O\nATOM     48  O5'   G A   3      61.137  48.219  54.105  1.00 88.57           O\nATOM     49  C5'   G A   3      62.175  47.724  54.969  1.00 83.44           C\nATOM     50  C4'   G A   3      62.769  46.443  54.422  1.00 79.87           C\nATOM     51  O4'   G A   3      61.734  45.427  54.299  1.00 78.36           O\nATOM     52  C3'   G A   3      63.405  46.499  53.040  1.00 78.97           C\nATOM     53  O3'   G A   3      64.741  47.029  53.060  1.00 79.76           O\nATOM     54  C2'   G A   3      63.359  45.032  52.608  1.00 77.19           C\nATOM     55  O2'   G A   3      64.411  44.256  53.155  1.00 77.80           O\nATOM     56  C1'   G A   3      62.018  44.572  53.194  1.00 73.98           C\nATOM     57  N9    G A   3      60.934  44.675  52.202  1.00 68.20           N\nATOM     58  C8    G A   3      60.024  45.702  52.050  1.00 65.03           C\nATOM     59  N7    G A   3      59.252  45.556  51.003  1.00 62.99           N\nATOM     60  C5    G A   3      59.655  44.348  50.447  1.00 59.95           C\nATOM     61  C6    G A   3      59.189  43.675  49.292  1.00 55.65           C\nATOM     62  O6    G A   3      58.287  44.013  48.522  1.00 53.32           O\nATOM     63  N1    G A   3      59.893  42.491  49.072  1.00 54.00           N\nATOM     64  C2    G A   3      60.906  42.006  49.876  1.00 55.46           C\nATOM     65  N2    G A   3      61.512  40.873  49.479  1.00 48.16           N\nATOM     66  N3    G A   3      61.312  42.605  50.983  1.00 56.69           N\nATOM     67  C4    G A   3      60.666  43.774  51.193  1.00 61.76           C\nATOM     68  P     G A   4      65.295  47.868  51.793  1.00 79.34           P\nATOM     69  OP1   G A   4      66.538  48.562  52.246  1.00 80.87           O\nATOM     70  OP2   G A   4      64.193  48.679  51.209  1.00 79.00           O\nATOM     71  O5'   G A   4      65.720  46.752  50.724  1.00 75.17           O\nATOM     72  C5'   G A   4      66.789  45.843  51.019  1.00 68.95           C\nATOM     73  C4'   G A   4      66.749  44.634  50.114  1.00 65.13           C\nATOM     74  O4'   G A   4      65.484  43.939  50.258  1.00 61.83           O\nATOM     75  C3'   G A   4      66.881  44.840  48.611  1.00 62.79           C\nATOM     76  O3'   G A   4      68.230  44.977  48.176  1.00 61.75           O\nATOM     77  C2'   G A   4      66.318  43.538  48.064  1.00 60.58           C\nATOM     78  O2'   G A   4      67.283  42.514  48.122  1.00 59.59           O\nATOM     79  C1'   G A   4      65.192  43.241  49.051  1.00 58.29           C\nATOM     80  N9    G A   4      63.923  43.716  48.500  1.00 53.36           N\nATOM     81  C8    G A   4      63.204  44.843  48.842  1.00 49.19           C\nATOM     82  N7    G A   4      62.140  45.013  48.107  1.00 46.88           N\nATOM     83  C5    G A   4      62.144  43.926  47.243  1.00 45.95           C\nATOM     84  C6    G A   4      61.246  43.573  46.206  1.00 43.95           C\nATOM     85  O6    G A   4      60.182  44.136  45.874  1.00 42.46           O\nATOM     86  N1    G A   4      61.672  42.428  45.540  1.00 40.34           N\nATOM     87  C2    G A   4      62.788  41.686  45.867  1.00 42.60           C\nATOM     88  N2    G A   4      63.034  40.588  45.135  1.00 38.91           N\nATOM     89  N3    G A   4      63.612  41.994  46.850  1.00 44.40           N\nATOM     90  C4    G A   4      63.239  43.117  47.480  1.00 48.65           C\nATOM     91  P     A A   5      68.530  45.722  46.789  1.00 59.03           P\nATOM     92  OP1   A A   5      69.991  45.842  46.548  1.00 60.84           O\nATOM     93  OP2   A A   5      67.685  46.959  46.834  1.00 60.64           O\nATOM     94  O5'   A A   5      67.957  44.735  45.675  1.00 57.14           O\nATOM     95  C5'   A A   5      68.648  43.529  45.323  1.00 53.41           C\nATOM     96  C4'   A A   5      67.927  42.844  44.191  1.00 50.63           C\nATOM     97  O4'   A A   5      66.589  42.480  44.646  1.00 48.70           O\nATOM     98  C3'   A A   5      67.665  43.715  42.964  1.00 50.77           C\nATOM     99  O3'   A A   5      68.747  43.769  42.051  1.00 52.86           O\nATOM    100  C2'   A A   5      66.455  43.024  42.355  1.00 48.94           C\nATOM    101  O2'   A A   5      66.864  41.798  41.731  1.00 48.54           O\nATOM    102  C1'   A A   5      65.646  42.719  43.615  1.00 44.50           C\nATOM    103  N9    A A   5      64.779  43.843  44.021  1.00 42.01           N\nATOM    104  C8    A A   5      64.938  44.803  45.016  1.00 39.75           C\nATOM    105  N7    A A   5      63.925  45.649  45.113  1.00 41.58           N\nATOM    106  C5    A A   5      63.049  45.220  44.115  1.00 38.26           C\nATOM    107  C6    A A   5      61.796  45.688  43.683  1.00 35.83           C\nATOM    108  N6    A A   5      61.110  46.688  44.232  1.00 32.66           N\nATOM    109  N1    A A   5      61.233  45.057  42.644  1.00 35.14           N\nATOM    110  C2    A A   5      61.870  44.017  42.074  1.00 38.97           C\nATOM    111  N3    A A   5      63.024  43.467  42.399  1.00 36.02           N\nATOM    112  C4    A A   5      63.571  44.119  43.437  1.00 39.04           C\nATOM    113  P     U A   6      69.150  45.179  41.392  1.00 55.09           P\nATOM    114  OP1   U A   6      70.511  44.926  40.836  1.00 56.37           O\nATOM    115  OP2   U A   6      68.953  46.283  42.381  1.00 51.00           O\nATOM    116  O5'   U A   6      68.119  45.358  40.184  1.00 50.38           O\nATOM    117  C5'   U A   6      67.912  44.271  39.258  1.00 48.10           C\nATOM    118  C4'   U A   6      66.579  44.400  38.565  1.00 47.17           C\nATOM    119  O4'   U A   6      65.486  44.324  39.513  1.00 46.61           O\nATOM    120  C3'   U A   6      66.344  45.708  37.850  1.00 45.27           C\nATOM    121  O3'   U A   6      66.964  45.696  36.590  1.00 45.77           O\nATOM    122  C2'   U A   6      64.833  45.733  37.727  1.00 45.88           C\nATOM    123  O2'   U A   6      64.431  44.864  36.684  1.00 44.33           O\nATOM    124  C1'   U A   6      64.413  45.113  39.057  1.00 41.32           C\nATOM    125  N1    U A   6      64.065  46.111  40.079  1.00 39.88           N\nATOM    126  C2    U A   6      62.798  46.658  39.977  1.00 36.06           C\nATOM    127  O2    U A   6      62.021  46.333  39.099  1.00 38.25           O\nATOM    128  N3    U A   6      62.487  47.582  40.924  1.00 34.15           N\nATOM    129  C4    U A   6      63.272  48.002  41.975  1.00 37.36           C\nATOM    130  O4    U A   6      62.822  48.829  42.752  1.00 39.30           O\nATOM    131  C5    U A   6      64.583  47.395  42.032  1.00 39.23           C\nATOM    132  C6    U A   6      64.926  46.497  41.084  1.00 35.72           C\nATOM    133  P     U A   7      67.463  47.074  35.969  1.00 44.37           P\nATOM    134  OP1   U A   7      68.318  46.756  34.822  1.00 48.09           O\nATOM    135  OP2   U A   7      67.945  47.948  37.077  1.00 45.68           O\nATOM    136  O5'   U A   7      66.104  47.724  35.455  1.00 40.88           O\nATOM    137  C5'   U A   7      65.285  47.024  34.459  1.00 37.89           C\nATOM    138  C4'   U A   7      64.055  47.852  34.101  1.00 35.74           C\nATOM    139  O4'   U A   7      63.297  48.107  35.326  1.00 38.13           O\nATOM    140  C3'   U A   7      64.317  49.197  33.459  1.00 36.87           C\nATOM    141  O3'   U A   7      63.402  49.394  32.378  1.00 37.45           O\nATOM    142  C2'   U A   7      64.097  50.171  34.624  1.00 36.55           C\nATOM    143  O2'   U A   7      63.595  51.417  34.246  1.00 35.54           O\nATOM    144  C1'   U A   7      63.015  49.475  35.442  1.00 37.23           C\nATOM    145  N1    U A   7      63.056  49.858  36.864  1.00 36.91           N\nATOM    146  C2    U A   7      62.011  50.628  37.343  1.00 34.52           C\nATOM    147  O2    U A   7      61.087  50.966  36.653  1.00 34.65           O\nATOM    148  N3    U A   7      62.112  50.993  38.659  1.00 37.03           N\nATOM    149  C4    U A   7      63.131  50.684  39.541  1.00 40.15           C\nATOM    150  O4    U A   7      63.105  51.143  40.699  1.00 36.62           O\nATOM    151  C5    U A   7      64.179  49.865  38.971  1.00 36.52           C\nATOM    152  C6    U A   7      64.106  49.490  37.691  1.00 36.25           C\nATOM    153  P     U A   8      63.884  49.282  30.858  1.00 36.77           P\nATOM    154  OP1   U A   8      62.852  49.899  29.952  1.00 38.95           O\nATOM    155  OP2   U A   8      64.442  47.955  30.547  1.00 38.70           O\nATOM    156  O5'   U A   8      65.171  50.254  30.733  1.00 35.95           O\nATOM    157  C5'   U A   8      64.994  51.676  30.500  1.00 33.53           C\nATOM    158  C4'   U A   8      66.105  52.236  29.628  1.00 34.33           C\nATOM    159  O4'   U A   8      67.428  52.119  30.261  1.00 31.81           O\nATOM    160  C3'   U A   8      66.269  51.519  28.297  1.00 30.21           C\nATOM    161  O3'   U A   8      65.321  51.887  27.314  1.00 32.41           O\nATOM    162  C2'   U A   8      67.685  51.906  27.900  1.00 31.37           C\nATOM    163  O2'   U A   8      67.743  53.224  27.433  1.00 27.02           O\nATOM    164  C1'   U A   8      68.407  51.830  29.255  1.00 30.28           C\nATOM    165  N1    U A   8      68.914  50.469  29.501  1.00 28.11           N\nATOM    166  C2    U A   8      70.125  50.078  28.931  1.00 29.25           C\nATOM    167  O2    U A   8      70.835  50.819  28.278  1.00 27.81           O\nATOM    168  N3    U A   8      70.481  48.778  29.170  1.00 25.94           N\nATOM    169  C4    U A   8      69.808  47.856  29.922  1.00 27.37           C\nATOM    170  O4    U A   8      70.215  46.704  29.963  1.00 32.58           O\nATOM    171  C5    U A   8      68.612  48.328  30.490  1.00 29.58           C\nATOM    172  C6    U A   8      68.214  49.592  30.265  1.00 30.40           C\nATOM    173  P     A A   9      64.755  50.731  26.311  1.00 32.05           P\nATOM    174  OP1   A A   9      63.287  50.736  26.312  1.00 36.52           O\nATOM    175  OP2   A A   9      65.447  49.415  26.519  1.00 31.33           O\nATOM    176  O5'   A A   9      65.221  51.270  24.948  1.00 28.22           O\nATOM    177  C5'   A A   9      64.646  52.433  24.369  1.00 32.91           C\nATOM    178  C4'   A A   9      64.531  52.215  22.904  1.00 32.49           C\nATOM    179  O4'   A A   9      65.887  52.090  22.406  1.00 35.09           O\nATOM    180  C3'   A A   9      63.820  50.923  22.466  1.00 34.41           C\nATOM    181  O3'   A A   9      63.140  51.180  21.236  1.00 36.11           O\nATOM    182  C2'   A A   9      64.979  49.997  22.155  1.00 32.37           C\nATOM    183  O2'   A A   9      64.686  49.016  21.194  1.00 35.87           O\nATOM    184  C1'   A A   9      65.985  50.969  21.571  1.00 28.79           C\nATOM    185  N9    A A   9      67.376  50.497  21.585  1.00 23.84           N\nATOM    186  C8    A A   9      67.851  49.356  22.159  1.00 25.84           C\nATOM    187  N7    A A   9      69.149  49.195  22.010  1.00 26.83           N\nATOM    188  C5    A A   9      69.527  50.298  21.288  1.00 23.87           C\nATOM    189  C6    A A   9      70.730  50.663  20.793  1.00 30.26           C\nATOM    190  N6    A A   9      71.797  49.922  20.994  1.00 30.95           N\nATOM    191  N1    A A   9      70.817  51.794  20.072  1.00 28.29           N\nATOM    192  C2    A A   9      69.701  52.547  19.932  1.00 32.68           C\nATOM    193  N3    A A   9      68.469  52.287  20.369  1.00 25.13           N\nATOM    194  C4    A A   9      68.446  51.117  21.026  1.00 26.68           C\nATOM    219  P     C A  11      59.474  46.418  23.818  1.00 50.75           P\nATOM    220  OP1   C A  11      58.367  46.417  24.802  1.00 49.46           O\nATOM    221  OP2   C A  11      60.585  47.425  23.967  1.00 44.94           O\nATOM    222  O5'   C A  11      60.064  44.937  23.797  1.00 49.65           O\nATOM    223  C5'   C A  11      59.234  43.814  23.447  1.00 49.66           C\nATOM    224  C4'   C A  11      60.091  42.608  23.221  1.00 50.13           C\nATOM    225  O4'   C A  11      60.886  42.801  22.028  1.00 47.40           O\nATOM    226  C3'   C A  11      61.091  42.406  24.335  1.00 52.64           C\nATOM    227  O3'   C A  11      60.498  41.644  25.372  1.00 54.31           O\nATOM    228  C2'   C A  11      62.252  41.701  23.640  1.00 51.51           C\nATOM    229  O2'   C A  11      62.072  40.314  23.587  1.00 53.58           O\nATOM    230  C1'   C A  11      62.189  42.294  22.230  1.00 48.88           C\nATOM    231  N1    C A  11      63.145  43.397  21.999  1.00 46.21           N\nATOM    232  C2    C A  11      64.484  43.091  21.738  1.00 45.74           C\nATOM    233  O2    C A  11      64.833  41.895  21.708  1.00 47.49           O\nATOM    234  N3    C A  11      65.365  44.106  21.527  1.00 42.07           N\nATOM    235  C4    C A  11      64.941  45.376  21.555  1.00 42.69           C\nATOM    236  N4    C A  11      65.829  46.353  21.301  1.00 38.00           N\nATOM    237  C5    C A  11      63.586  45.709  21.822  1.00 43.75           C\nATOM    238  C6    C A  11      62.732  44.698  22.035  1.00 45.15           C\nATOM    239  P     U A  12      60.976  41.853  26.874  1.00 57.65           P\nATOM    240  OP1   U A  12      60.123  41.039  27.783  1.00 59.26           O\nATOM    241  OP2   U A  12      61.080  43.316  27.117  1.00 59.70           O\nATOM    242  O5'   U A  12      62.441  41.244  26.886  1.00 55.93           O\nATOM    243  C5'   U A  12      62.652  39.837  26.718  1.00 52.43           C\nATOM    244  C4'   U A  12      64.121  39.544  26.594  1.00 48.54           C\nATOM    245  O4'   U A  12      64.635  40.154  25.385  1.00 43.89           O\nATOM    246  C3'   U A  12      65.015  40.119  27.684  1.00 50.30           C\nATOM    247  O3'   U A  12      65.044  39.362  28.898  1.00 48.54           O\nATOM    248  C2'   U A  12      66.384  40.159  27.007  1.00 48.05           C\nATOM    249  O2'   U A  12      67.072  38.922  27.081  1.00 51.04           O\nATOM    250  C1'   U A  12      66.013  40.478  25.565  1.00 47.40           C\nATOM    251  N1    U A  12      66.260  41.889  25.203  1.00 42.96           N\nATOM    252  C2    U A  12      67.565  42.250  24.872  1.00 43.65           C\nATOM    253  O2    U A  12      68.512  41.462  24.914  1.00 41.62           O\nATOM    254  N3    U A  12      67.736  43.577  24.520  1.00 45.49           N\nATOM    255  C4    U A  12      66.755  44.567  24.497  1.00 41.58           C\nATOM    256  O4    U A  12      67.069  45.722  24.203  1.00 41.28           O\nATOM    257  C5    U A  12      65.436  44.114  24.864  1.00 40.07           C\nATOM    258  C6    U A  12      65.241  42.831  25.193  1.00 44.32           C\nATOM    259  P     C A  13      65.498  40.095  30.251  1.00 51.82           P\nATOM    260  OP1   C A  13      65.477  39.159  31.399  1.00 52.57           O\nATOM    261  OP2   C A  13      64.709  41.323  30.314  1.00 51.61           O\nATOM    262  O5'   C A  13      67.010  40.399  29.846  1.00 48.38           O\nATOM    263  C5'   C A  13      67.843  41.283  30.558  1.00 46.61           C\nATOM    264  C4'   C A  13      69.102  41.516  29.762  1.00 43.48           C\nATOM    265  O4'   C A  13      68.818  42.103  28.459  1.00 41.66           O\nATOM    266  C3'   C A  13      70.084  42.477  30.389  1.00 46.01           C\nATOM    267  O3'   C A  13      70.867  41.784  31.351  1.00 49.09           O\nATOM    268  C2'   C A  13      70.925  42.922  29.204  1.00 42.77           C\nATOM    269  O2'   C A  13      71.950  41.978  29.004  1.00 45.11           O\nATOM    270  C1'   C A  13      69.909  42.919  28.054  1.00 39.03           C\nATOM    271  N1    C A  13      69.390  44.256  27.668  1.00 36.14           N\nATOM    272  C2    C A  13      70.236  45.162  26.999  1.00 31.39           C\nATOM    273  O2    C A  13      71.429  44.834  26.781  1.00 33.97           O\nATOM    274  N3    C A  13      69.736  46.376  26.604  1.00 30.71           N\nATOM    275  C4    C A  13      68.478  46.702  26.907  1.00 27.53           C\nATOM    276  N4    C A  13      68.050  47.913  26.576  1.00 29.33           N\nATOM    277  C5    C A  13      67.596  45.795  27.581  1.00 30.21           C\nATOM    278  C6    C A  13      68.085  44.602  27.937  1.00 31.74           C\nATOM    279  P     A A  14      71.499  42.582  32.585  1.00 52.69           P\nATOM    280  OP1   A A  14      71.592  41.647  33.723  1.00 56.81           O\nATOM    281  OP2   A A  14      70.795  43.877  32.732  1.00 54.35           O\nATOM    282  O5'   A A  14      72.996  42.894  32.143  1.00 52.44           O\nATOM    283  C5'   A A  14      73.291  44.004  31.337  1.00 44.62           C\nATOM    284  C4'   A A  14      74.612  43.815  30.626  1.00 38.21           C\nATOM    285  O4'   A A  14      74.372  44.178  29.229  1.00 37.15           O\nATOM    286  C3'   A A  14      75.617  44.841  31.120  1.00 39.31           C\nATOM    287  O3'   A A  14      76.409  44.373  32.214  1.00 35.14           O\nATOM    288  C2'   A A  14      76.410  45.187  29.878  1.00 35.42           C\nATOM    289  O2'   A A  14      77.406  44.222  29.562  1.00 37.00           O\nATOM    290  C1'   A A  14      75.325  45.147  28.805  1.00 32.12           C\nATOM    291  N9    A A  14      74.639  46.437  28.568  1.00 30.32           N\nATOM    292  C8    A A  14      73.332  46.800  28.850  1.00 28.83           C\nATOM    293  N7    A A  14      73.030  48.029  28.495  1.00 27.89           N\nATOM    294  C5    A A  14      74.205  48.496  27.963  1.00 28.40           C\nATOM    295  C6    A A  14      74.551  49.722  27.451  1.00 28.49           C\nATOM    296  N6    A A  14      73.715  50.778  27.422  1.00 27.62           N\nATOM    297  N1    A A  14      75.820  49.867  26.972  1.00 28.90           N\nATOM    298  C2    A A  14      76.658  48.824  27.058  1.00 26.09           C\nATOM    299  N3    A A  14      76.449  47.633  27.546  1.00 34.21           N\nATOM    300  C4    A A  14      75.194  47.523  27.993  1.00 28.42           C\nATOM    301  P     G A  15      76.463  45.227  33.560  1.00 38.35           P\nATOM    302  OP1   G A  15      77.577  44.561  34.373  1.00 36.34           O\nATOM    303  OP2   G A  15      75.020  45.308  34.127  1.00 36.07           O\nATOM    304  O5'   G A  15      76.977  46.682  33.179  1.00 34.17           O\nATOM    305  C5'   G A  15      78.216  46.873  32.475  1.00 37.95           C\nATOM    306  C4'   G A  15      78.274  48.248  31.867  1.00 34.05           C\nATOM    307  O4'   G A  15      77.353  48.424  30.762  1.00 36.42           O\nATOM    308  C3'   G A  15      77.992  49.400  32.793  1.00 41.25           C\nATOM    309  O3'   G A  15      79.176  49.641  33.526  1.00 55.04           O\nATOM    310  C2'   G A  15      77.696  50.528  31.803  1.00 37.22           C\nATOM    311  O2'   G A  15      78.880  51.102  31.276  1.00 33.49           O\nATOM    312  C1'   G A  15      76.941  49.779  30.686  1.00 33.07           C\nATOM    313  N9    G A  15      75.505  49.813  30.961  1.00 30.40           N\nATOM    314  C8    G A  15      74.775  48.836  31.612  1.00 30.39           C\nATOM    315  N7    G A  15      73.537  49.203  31.861  1.00 28.29           N\nATOM    316  C5    G A  15      73.439  50.464  31.298  1.00 27.38           C\nATOM    317  C6    G A  15      72.351  51.383  31.271  1.00 24.88           C\nATOM    318  O6    G A  15      71.261  51.260  31.756  1.00 26.54           O\nATOM    319  N1    G A  15      72.683  52.569  30.607  1.00 23.73           N\nATOM    320  C2    G A  15      73.896  52.858  30.094  1.00 29.75           C\nATOM    321  N2    G A  15      74.047  54.083  29.581  1.00 27.02           N\nATOM    322  N3    G A  15      74.925  52.008  30.089  1.00 28.46           N\nATOM    323  C4    G A  15      74.632  50.842  30.714  1.00 29.28           C\nATOM    364  P     G A  18      81.804  57.491  38.803  1.00 53.35           P\nATOM    365  OP1   G A  18      82.773  58.100  39.715  1.00 56.70           O\nATOM    366  OP2   G A  18      80.724  56.638  39.368  1.00 56.95           O\nATOM    367  O5'   G A  18      81.038  58.580  37.950  1.00 45.07           O\nATOM    368  C5'   G A  18      80.288  58.201  36.778  1.00 37.17           C\nATOM    369  C4'   G A  18      80.100  59.412  35.902  1.00 33.24           C\nATOM    370  O4'   G A  18      79.417  60.430  36.705  1.00 29.49           O\nATOM    371  C3'   G A  18      81.426  60.038  35.456  1.00 29.19           C\nATOM    372  O3'   G A  18      81.313  60.691  34.173  1.00 27.98           O\nATOM    373  C2'   G A  18      81.638  61.165  36.437  1.00 26.61           C\nATOM    374  O2'   G A  18      82.417  62.205  35.773  1.00 31.88           O\nATOM    375  C1'   G A  18      80.191  61.615  36.658  1.00 31.24           C\nATOM    376  N9    G A  18      79.893  62.457  37.818  1.00 25.73           N\nATOM    377  C8    G A  18      80.399  62.361  39.094  1.00 29.39           C\nATOM    378  N7    G A  18      79.992  63.332  39.883  1.00 29.66           N\nATOM    379  C5    G A  18      79.165  64.095  39.074  1.00 26.03           C\nATOM    380  C6    G A  18      78.469  65.259  39.359  1.00 29.73           C\nATOM    381  O6    G A  18      78.491  65.889  40.411  1.00 31.10           O\nATOM    382  N1    G A  18      77.698  65.711  38.257  1.00 25.44           N\nATOM    383  C2    G A  18      77.634  65.077  37.076  1.00 25.15           C\nATOM    384  N2    G A  18      76.850  65.605  36.127  1.00 28.06           N\nATOM    385  N3    G A  18      78.312  63.960  36.797  1.00 31.81           N\nATOM    386  C4    G A  18      79.053  63.539  37.817  1.00 27.46           C\nATOM    387  P     G A  19      81.705  59.935  32.855  1.00 34.61           P\nATOM    388  OP1   G A  19      80.751  58.780  32.632  1.00 31.49           O\nATOM    389  OP2   G A  19      83.185  59.683  32.792  1.00 35.14           O\nATOM    390  O5'   G A  19      81.429  61.065  31.780  1.00 30.92           O\nATOM    391  C5'   G A  19      80.053  61.459  31.456  1.00 35.49           C\nATOM    392  C4'   G A  19      80.105  62.508  30.407  1.00 32.28           C\nATOM    393  O4'   G A  19      80.779  63.631  30.991  1.00 33.92           O\nATOM    394  C3'   G A  19      80.907  62.116  29.171  1.00 34.56           C\nATOM    395  O3'   G A  19      80.389  62.868  28.083  1.00 33.76           O\nATOM    396  C2'   G A  19      82.305  62.679  29.462  1.00 35.83           C\nATOM    397  O2'   G A  19      82.892  63.160  28.284  1.00 36.38           O\nATOM    398  C1'   G A  19      81.965  63.912  30.283  1.00 31.26           C\nATOM    399  N9    G A  19      82.922  64.301  31.303  1.00 34.09           N\nATOM    400  C8    G A  19      83.808  63.510  32.002  1.00 34.35           C\nATOM    401  N7    G A  19      84.330  64.135  33.026  1.00 29.97           N\nATOM    402  C5    G A  19      83.803  65.412  32.954  1.00 30.15           C\nATOM    403  C6    G A  19      83.998  66.553  33.810  1.00 30.28           C\nATOM    404  O6    G A  19      84.715  66.645  34.861  1.00 30.49           O\nATOM    405  N1    G A  19      83.246  67.654  33.362  1.00 30.06           N\nATOM    406  C2    G A  19      82.438  67.667  32.262  1.00 28.68           C\nATOM    407  N2    G A  19      81.753  68.812  32.044  1.00 31.69           N\nATOM    408  N3    G A  19      82.279  66.621  31.443  1.00 33.35           N\nATOM    409  C4    G A  19      82.976  65.537  31.862  1.00 29.77           C\nATOM    410  P     G A  20      79.212  62.270  27.169  1.00 37.57           P\nATOM    411  OP1   G A  20      78.632  63.435  26.460  1.00 37.48           O\nATOM    412  OP2   G A  20      78.418  61.535  28.129  1.00 34.93           O\nATOM    413  O5'   G A  20      79.952  61.358  26.110  1.00 35.27           O\nATOM    414  C5'   G A  20      80.561  61.904  24.945  1.00 34.78           C\nATOM    415  C4'   G A  20      80.529  60.879  23.849  1.00 33.56           C\nATOM    416  O4'   G A  20      81.420  59.808  24.203  1.00 34.69           O\nATOM    417  C3'   G A  20      79.164  60.229  23.679  1.00 34.55           C\nATOM    418  O3'   G A  20      78.373  60.964  22.748  1.00 32.07           O\nATOM    419  C2'   G A  20      79.540  58.879  23.115  1.00 31.94           C\nATOM    420  O2'   G A  20      79.935  59.005  21.776  1.00 29.14           O\nATOM    421  C1'   G A  20      80.836  58.580  23.876  1.00 33.29           C\nATOM    422  N9    G A  20      80.557  57.879  25.128  1.00 28.16           N\nATOM    423  C8    G A  20      80.808  58.309  26.413  1.00 28.17           C\nATOM    424  N7    G A  20      80.362  57.471  27.316  1.00 27.62           N\nATOM    425  C5    G A  20      79.819  56.431  26.576  1.00 26.85           C\nATOM    426  C6    G A  20      79.214  55.251  26.985  1.00 29.07           C\nATOM    427  O6    G A  20      79.010  54.845  28.141  1.00 30.12           O\nATOM    428  N1    G A  20      78.811  54.474  25.894  1.00 26.18           N\nATOM    429  C2    G A  20      78.993  54.795  24.576  1.00 28.16           C\nATOM    430  N2    G A  20      78.546  53.879  23.648  1.00 24.71           N\nATOM    431  N3    G A  20      79.567  55.902  24.177  1.00 25.02           N\nATOM    432  C4    G A  20      79.951  56.671  25.225  1.00 27.86           C\nATOM    433  P     A A  21      76.960  61.541  23.213  1.00 35.97           P\nATOM    434  OP1   A A  21      76.324  62.054  21.989  1.00 35.07           O\nATOM    435  OP2   A A  21      77.193  62.456  24.350  1.00 35.45           O\nATOM    436  O5'   A A  21      76.166  60.289  23.790  1.00 34.57           O\nATOM    437  C5'   A A  21      75.604  59.329  22.914  1.00 33.17           C\nATOM    438  C4'   A A  21      75.622  58.001  23.580  1.00 34.52           C\nATOM    439  O4'   A A  21      74.864  57.958  24.808  1.00 29.25           O\nATOM    440  C3'   A A  21      75.125  56.852  22.735  1.00 33.11           C\nATOM    441  O3'   A A  21      76.250  56.581  21.883  1.00 36.69           O\nATOM    442  C2'   A A  21      74.815  55.806  23.788  1.00 33.65           C\nATOM    443  O2'   A A  21      76.034  55.158  24.220  1.00 30.39           O\nATOM    444  C1'   A A  21      74.304  56.666  24.955  1.00 30.28           C\nATOM    445  N9    A A  21      72.843  56.834  25.065  1.00 28.13           N\nATOM    446  C8    A A  21      72.122  57.968  24.720  1.00 24.90           C\nATOM    447  N7    A A  21      70.828  57.864  24.968  1.00 27.77           N\nATOM    448  C5    A A  21      70.695  56.581  25.516  1.00 25.63           C\nATOM    449  C6    A A  21      69.596  55.872  26.031  1.00 28.10           C\nATOM    450  N6    A A  21      68.327  56.341  26.073  1.00 24.98           N\nATOM    451  N1    A A  21      69.817  54.668  26.536  1.00 27.40           N\nATOM    452  C2    A A  21      71.064  54.186  26.531  1.00 26.83           C\nATOM    453  N3    A A  21      72.169  54.734  26.097  1.00 26.24           N\nATOM    454  C4    A A  21      71.927  55.948  25.580  1.00 28.94           C\nATOM    455  P     G A  22      76.122  55.607  20.624  1.00 36.77           P\nATOM    456  OP1   G A  22      77.347  55.811  19.853  1.00 34.15           O\nATOM    457  OP2   G A  22      74.796  55.966  20.020  1.00 38.21           O\nATOM    458  O5'   G A  22      76.107  54.255  21.420  1.00 39.67           O\nATOM    459  C5'   G A  22      75.588  53.058  20.896  1.00 33.77           C\nATOM    460  C4'   G A  22      76.292  51.916  21.581  1.00 33.57           C\nATOM    461  O4'   G A  22      76.032  51.934  23.018  1.00 28.98           O\nATOM    462  C3'   G A  22      75.794  50.585  21.102  1.00 31.27           C\nATOM    463  O3'   G A  22      76.427  50.216  19.874  1.00 36.07           O\nATOM    464  C2'   G A  22      75.986  49.707  22.315  1.00 30.09           C\nATOM    465  O2'   G A  22      77.321  49.252  22.478  1.00 29.86           O\nATOM    466  C1'   G A  22      75.605  50.671  23.444  1.00 25.75           C\nATOM    467  N9    G A  22      74.157  50.722  23.757  1.00 27.25           N\nATOM    468  C8    G A  22      73.306  51.785  23.618  1.00 27.24           C\nATOM    469  N7    G A  22      72.095  51.529  24.052  1.00 28.94           N\nATOM    470  C5    G A  22      72.147  50.220  24.476  1.00 28.23           C\nATOM    471  C6    G A  22      71.138  49.385  25.011  1.00 28.84           C\nATOM    472  O6    G A  22      69.936  49.648  25.252  1.00 29.10           O\nATOM    473  N1    G A  22      71.624  48.128  25.270  1.00 27.83           N\nATOM    474  C2    G A  22      72.899  47.703  25.050  1.00 30.21           C\nATOM    475  N2    G A  22      73.158  46.409  25.364  1.00 27.00           N\nATOM    476  N3    G A  22      73.837  48.454  24.566  1.00 29.25           N\nATOM    477  C4    G A  22      73.400  49.695  24.288  1.00 25.81           C\nATOM    478  P     A A  23      75.571  49.404  18.784  1.00 38.64           P\nATOM    479  OP1   A A  23      76.230  49.559  17.497  1.00 35.37           O\nATOM    480  OP2   A A  23      74.080  49.759  18.881  1.00 35.35           O\nATOM    481  O5'   A A  23      75.636  47.938  19.332  1.00 37.83           O\nATOM    482  C5'   A A  23      76.912  47.318  19.633  1.00 37.02           C\nATOM    483  C4'   A A  23      76.705  45.975  20.257  1.00 39.13           C\nATOM    484  O4'   A A  23      76.089  46.103  21.547  1.00 38.15           O\nATOM    485  C3'   A A  23      75.794  45.028  19.486  1.00 40.14           C\nATOM    486  O3'   A A  23      76.500  44.368  18.446  1.00 42.27           O\nATOM    487  C2'   A A  23      75.356  44.060  20.563  1.00 39.45           C\nATOM    488  O2'   A A  23      76.423  43.125  20.754  1.00 42.00           O\nATOM    489  C1'   A A  23      75.210  45.010  21.771  1.00 37.98           C\nATOM    490  N9    A A  23      73.858  45.578  21.885  1.00 35.38           N\nATOM    491  C8    A A  23      73.461  46.822  21.439  1.00 35.25           C\nATOM    492  N7    A A  23      72.234  47.140  21.772  1.00 33.59           N\nATOM    493  C5    A A  23      71.772  46.017  22.438  1.00 34.26           C\nATOM    494  C6    A A  23      70.529  45.710  23.019  1.00 32.33           C\nATOM    495  N6    A A  23      69.521  46.594  23.138  1.00 34.94           N\nATOM    496  N1    A A  23      70.368  44.470  23.517  1.00 35.35           N\nATOM    497  C2    A A  23      71.405  43.615  23.470  1.00 31.66           C\nATOM    498  N3    A A  23      72.643  43.811  23.008  1.00 32.48           N\nATOM    499  C4    A A  23      72.758  45.035  22.487  1.00 34.85           C\nATOM    500  P     G A  24      75.691  43.814  17.170  1.00 44.02           P\nATOM    501  OP1   G A  24      76.744  43.269  16.286  1.00 46.42           O\nATOM    502  OP2   G A  24      74.752  44.889  16.691  1.00 43.05           O\nATOM    503  O5'   G A  24      74.795  42.670  17.756  1.00 40.73           O\nATOM    504  C5'   G A  24      75.378  41.492  18.218  1.00 46.30           C\nATOM    505  C4'   G A  24      74.313  40.622  18.747  1.00 47.22           C\nATOM    506  O4'   G A  24      73.799  41.198  19.975  1.00 46.23           O\nATOM    507  C3'   G A  24      73.094  40.484  17.855  1.00 47.23           C\nATOM    508  O3'   G A  24      73.287  39.486  16.850  1.00 51.92           O\nATOM    509  C2'   G A  24      72.056  40.037  18.867  1.00 47.49           C\nATOM    510  O2'   G A  24      72.324  38.676  19.169  1.00 46.29           O\nATOM    511  C1'   G A  24      72.412  40.925  20.073  1.00 45.11           C\nATOM    512  N9    G A  24      71.687  42.195  20.013  1.00 42.04           N\nATOM    513  C8    G A  24      72.126  43.377  19.471  1.00 42.70           C\nATOM    514  N7    G A  24      71.218  44.315  19.472  1.00 40.83           N\nATOM    515  C5    G A  24      70.114  43.715  20.070  1.00 42.41           C\nATOM    516  C6    G A  24      68.831  44.242  20.336  1.00 44.36           C\nATOM    517  O6    G A  24      68.390  45.396  20.057  1.00 44.29           O\nATOM    518  N1    G A  24      68.011  43.299  20.965  1.00 42.61           N\nATOM    519  C2    G A  24      68.390  42.013  21.284  1.00 44.44           C\nATOM    520  N2    G A  24      67.446  41.234  21.843  1.00 42.33           N\nATOM    521  N3    G A  24      69.599  41.521  21.050  1.00 41.16           N\nATOM    522  C4    G A  24      70.396  42.419  20.435  1.00 42.35           C\nATOM    523  P     C A  25      72.660  39.699  15.392  1.00 49.58           P\nATOM    524  OP1   C A  25      73.082  38.530  14.539  1.00 54.65           O\nATOM    525  OP2   C A  25      72.897  41.067  14.886  1.00 47.78           O\nATOM    526  O5'   C A  25      71.110  39.469  15.645  1.00 48.69           O\nATOM    527  C5'   C A  25      70.619  38.180  16.052  1.00 50.80           C\nATOM    528  C4'   C A  25      69.170  38.275  16.491  1.00 50.78           C\nATOM    529  O4'   C A  25      69.098  39.152  17.653  1.00 55.06           O\nATOM    530  C3'   C A  25      68.156  38.899  15.531  1.00 53.87           C\nATOM    531  O3'   C A  25      67.629  38.012  14.533  1.00 52.62           O\nATOM    532  C2'   C A  25      67.045  39.336  16.481  1.00 54.24           C\nATOM    533  O2'   C A  25      66.276  38.238  16.922  1.00 56.92           O\nATOM    534  C1'   C A  25      67.844  39.818  17.685  1.00 51.93           C\nATOM    535  N1    C A  25      68.040  41.263  17.589  1.00 51.02           N\nATOM    536  C2    C A  25      67.005  42.092  18.016  1.00 51.02           C\nATOM    537  O2    C A  25      65.989  41.579  18.475  1.00 49.40           O\nATOM    538  N3    C A  25      67.136  43.428  17.897  1.00 50.42           N\nATOM    539  C4    C A  25      68.240  43.949  17.341  1.00 50.86           C\nATOM    540  N4    C A  25      68.316  45.287  17.212  1.00 46.56           N\nATOM    541  C5    C A  25      69.316  43.129  16.899  1.00 48.98           C\nATOM    542  C6    C A  25      69.185  41.802  17.062  1.00 50.79           C\nATOM    568  P     C A  27      62.860  40.709  10.569  1.00 53.96           P\nATOM    569  OP1   C A  27      61.690  39.909  10.056  1.00 58.78           O\nATOM    570  OP2   C A  27      64.244  40.343  10.165  1.00 54.14           O\nATOM    571  O5'   C A  27      62.614  42.218  10.155  1.00 53.83           O\nATOM    572  C5'   C A  27      61.437  42.899  10.561  1.00 51.71           C\nATOM    573  C4'   C A  27      61.594  44.378  10.321  1.00 53.47           C\nATOM    574  O4'   C A  27      62.476  44.955  11.330  1.00 51.31           O\nATOM    575  C3'   C A  27      62.210  44.814   9.004  1.00 54.38           C\nATOM    576  O3'   C A  27      61.256  44.865   7.943  1.00 60.47           O\nATOM    577  C2'   C A  27      62.693  46.223   9.339  1.00 51.78           C\nATOM    578  O2'   C A  27      61.640  47.167   9.301  1.00 51.18           O\nATOM    579  C1'   C A  27      63.159  46.064  10.787  1.00 48.68           C\nATOM    580  N1    C A  27      64.612  45.818  10.877  1.00 42.59           N\nATOM    581  C2    C A  27      65.472  46.868  10.634  1.00 44.48           C\nATOM    582  O2    C A  27      64.981  47.978  10.348  1.00 42.73           O\nATOM    583  N3    C A  27      66.821  46.659  10.722  1.00 42.28           N\nATOM    584  C4    C A  27      67.275  45.452  11.056  1.00 43.75           C\nATOM    585  N4    C A  27      68.586  45.272  11.180  1.00 44.57           N\nATOM    586  C5    C A  27      66.402  44.364  11.291  1.00 44.20           C\nATOM    587  C6    C A  27      65.095  44.589  11.192  1.00 44.33           C\nATOM    588  P     C A  28      61.715  44.551   6.429  1.00 61.60           P\nATOM    589  OP1   C A  28      60.464  44.441   5.640  1.00 62.15           O\nATOM    590  OP2   C A  28      62.648  43.401   6.479  1.00 61.61           O\nATOM    591  O5'   C A  28      62.553  45.816   5.941  1.00 56.70           O\nATOM    592  C5'   C A  28      61.910  47.047   5.647  1.00 57.75           C\nATOM    593  C4'   C A  28      62.918  48.099   5.246  1.00 58.29           C\nATOM    594  O4'   C A  28      63.719  48.476   6.402  1.00 56.80           O\nATOM    595  C3'   C A  28      63.942  47.721   4.187  1.00 60.32           C\nATOM    596  O3'   C A  28      63.466  47.779   2.838  1.00 64.19           O\nATOM    597  C2'   C A  28      65.056  48.727   4.461  1.00 57.91           C\nATOM    598  O2'   C A  28      64.774  50.025   3.952  1.00 56.60           O\nATOM    599  C1'   C A  28      65.046  48.767   5.987  1.00 56.20           C\nATOM    600  N1    C A  28      65.958  47.725   6.532  1.00 51.41           N\nATOM    601  C2    C A  28      67.338  47.999   6.616  1.00 49.26           C\nATOM    602  O2    C A  28      67.761  49.119   6.240  1.00 45.60           O\nATOM    603  N3    C A  28      68.175  47.034   7.101  1.00 50.25           N\nATOM    604  C4    C A  28      67.676  45.854   7.493  1.00 50.21           C\nATOM    605  N4    C A  28      68.515  44.934   7.978  1.00 50.49           N\nATOM    606  C5    C A  28      66.284  45.560   7.412  1.00 50.83           C\nATOM    607  C6    C A  28      65.473  46.516   6.936  1.00 50.67           C\nATOM    608  P     A A  29      64.134  46.810   1.715  1.00 65.77           P\nATOM    609  OP1   A A  29      63.389  47.109   0.457  1.00 67.04           O\nATOM    610  OP2   A A  29      64.179  45.395   2.219  1.00 63.95           O\nATOM    611  O5'   A A  29      65.641  47.328   1.540  1.00 62.83           O\nATOM    612  C5'   A A  29      65.903  48.647   0.972  1.00 63.87           C\nATOM    613  C4'   A A  29      67.384  49.009   1.027  1.00 63.27           C\nATOM    614  O4'   A A  29      67.815  49.121   2.412  1.00 62.56           O\nATOM    615  C3'   A A  29      68.423  48.084   0.399  1.00 63.00           C\nATOM    616  O3'   A A  29      68.576  48.226  -1.003  1.00 65.01           O\nATOM    617  C2'   A A  29      69.702  48.526   1.092  1.00 61.38           C\nATOM    618  O2'   A A  29      70.234  49.721   0.530  1.00 61.02           O\nATOM    619  C1'   A A  29      69.196  48.789   2.509  1.00 59.63           C\nATOM    620  N9    A A  29      69.335  47.576   3.315  1.00 54.19           N\nATOM    621  C8    A A  29      68.378  46.647   3.653  1.00 54.48           C\nATOM    622  N7    A A  29      68.847  45.630   4.321  1.00 53.76           N\nATOM    623  C5    A A  29      70.198  45.923   4.448  1.00 52.14           C\nATOM    624  C6    A A  29      71.245  45.231   5.038  1.00 50.79           C\nATOM    625  N6    A A  29      71.082  44.066   5.687  1.00 50.54           N\nATOM    626  N1    A A  29      72.481  45.776   4.952  1.00 48.83           N\nATOM    627  C2    A A  29      72.620  46.942   4.329  1.00 48.49           C\nATOM    628  N3    A A  29      71.699  47.698   3.751  1.00 51.37           N\nATOM    629  C4    A A  29      70.502  47.119   3.845  1.00 50.75           C\nATOM    630  P     G A  30      69.148  46.986  -1.875  1.00 63.15           P\nATOM    631  OP1   G A  30      68.830  47.365  -3.277  1.00 64.99           O\nATOM    632  OP2   G A  30      68.659  45.688  -1.323  1.00 61.44           O\nATOM    633  O5'   G A  30      70.738  46.979  -1.648  1.00 64.00           O\nATOM    634  C5'   G A  30      71.552  48.159  -1.889  1.00 63.25           C\nATOM    635  C4'   G A  30      72.933  47.996  -1.281  1.00 63.56           C\nATOM    636  O4'   G A  30      72.830  47.805   0.157  1.00 62.05           O\nATOM    637  C3'   G A  30      73.716  46.785  -1.754  1.00 65.21           C\nATOM    638  O3'   G A  30      74.380  47.055  -2.978  1.00 68.93           O\nATOM    639  C2'   G A  30      74.690  46.532  -0.603  1.00 63.90           C\nATOM    640  O2'   G A  30      75.815  47.379  -0.636  1.00 66.48           O\nATOM    641  C1'   G A  30      73.839  46.903   0.605  1.00 60.48           C\nATOM    642  N9    G A  30      73.204  45.719   1.184  1.00 56.62           N\nATOM    643  C8    G A  30      71.872  45.376   1.155  1.00 55.59           C\nATOM    644  N7    G A  30      71.623  44.235   1.750  1.00 54.28           N\nATOM    645  C5    G A  30      72.868  43.798   2.203  1.00 52.26           C\nATOM    646  C6    G A  30      73.238  42.611   2.909  1.00 51.92           C\nATOM    647  O6    G A  30      72.512  41.677   3.315  1.00 48.72           O\nATOM    648  N1    G A  30      74.614  42.562   3.133  1.00 53.22           N\nATOM    649  C2    G A  30      75.513  43.524   2.738  1.00 52.55           C\nATOM    650  N2    G A  30      76.797  43.282   3.015  1.00 52.61           N\nATOM    651  N3    G A  30      75.180  44.635   2.106  1.00 52.73           N\nATOM    652  C4    G A  30      73.853  44.703   1.866  1.00 53.73           C\nATOM    653  P     A A  31      74.530  45.886  -4.075  1.00 69.42           P\nATOM    654  OP1   A A  31      75.319  46.471  -5.195  1.00 71.00           O\nATOM    655  OP2   A A  31      73.193  45.303  -4.337  1.00 68.84           O\nATOM    656  O5'   A A  31      75.405  44.785  -3.333  1.00 67.81           O\nATOM    657  C5'   A A  31      76.782  45.018  -3.047  1.00 66.34           C\nATOM    658  C4'   A A  31      77.346  43.848  -2.300  1.00 65.86           C\nATOM    659  O4'   A A  31      76.688  43.760  -1.020  1.00 64.48           O\nATOM    660  C3'   A A  31      77.123  42.485  -2.938  1.00 67.80           C\nATOM    661  O3'   A A  31      78.102  42.185  -3.933  1.00 69.43           O\nATOM    662  C2'   A A  31      77.166  41.543  -1.735  1.00 66.49           C\nATOM    663  O2'   A A  31      78.476  41.202  -1.324  1.00 70.09           O\nATOM    664  C1'   A A  31      76.518  42.403  -0.649  1.00 62.06           C\nATOM    665  N9    A A  31      75.083  42.164  -0.541  1.00 56.88           N\nATOM    666  C8    A A  31      74.083  42.881  -1.152  1.00 56.22           C\nATOM    667  N7    A A  31      72.877  42.454  -0.869  1.00 55.69           N\nATOM    668  C5    A A  31      73.093  41.379  -0.019  1.00 52.78           C\nATOM    669  C6    A A  31      72.210  40.498   0.642  1.00 53.56           C\nATOM    670  N6    A A  31      70.867  40.568   0.536  1.00 51.52           N\nATOM    671  N1    A A  31      72.757  39.533   1.428  1.00 53.95           N\nATOM    672  C2    A A  31      74.103  39.473   1.530  1.00 54.22           C\nATOM    673  N3    A A  31      75.027  40.244   0.958  1.00 53.01           N\nATOM    674  C4    A A  31      74.453  41.186   0.189  1.00 54.24           C\nATOM    696  P     U A  33      76.971  35.962  -6.783  1.00 72.91           P\nATOM    697  OP1   U A  33      78.044  35.151  -7.420  1.00 73.35           O\nATOM    698  OP2   U A  33      76.437  37.170  -7.490  1.00 71.97           O\nATOM    699  O5'   U A  33      75.699  35.053  -6.505  1.00 71.09           O\nATOM    700  C5'   U A  33      75.822  33.741  -5.951  1.00 71.16           C\nATOM    701  C4'   U A  33      74.457  33.095  -5.870  1.00 72.48           C\nATOM    702  O4'   U A  33      73.655  33.729  -4.828  1.00 73.47           O\nATOM    703  C3'   U A  33      73.601  33.208  -7.129  1.00 72.70           C\nATOM    704  O3'   U A  33      73.935  32.212  -8.110  1.00 70.79           O\nATOM    705  C2'   U A  33      72.190  33.041  -6.575  1.00 72.85           C\nATOM    706  O2'   U A  33      71.917  31.668  -6.340  1.00 73.80           O\nATOM    707  C1'   U A  33      72.289  33.769  -5.226  1.00 72.04           C\nATOM    708  N1    U A  33      71.847  35.177  -5.291  1.00 69.22           N\nATOM    709  C2    U A  33      70.504  35.476  -4.990  1.00 67.66           C\nATOM    710  O2    U A  33      69.696  34.637  -4.613  1.00 66.73           O\nATOM    711  N3    U A  33      70.155  36.799  -5.139  1.00 64.32           N\nATOM    712  C4    U A  33      70.975  37.841  -5.535  1.00 64.94           C\nATOM    713  O4    U A  33      70.494  38.966  -5.720  1.00 60.96           O\nATOM    714  C5    U A  33      72.339  37.462  -5.787  1.00 65.88           C\nATOM    715  C6    U A  33      72.718  36.181  -5.660  1.00 68.66           C\nATOM    740  P     A A  35      69.287  35.959  -8.637  1.00 69.94           P\nATOM    741  OP1   A A  35      68.963  37.372  -8.988  1.00 66.80           O\nATOM    742  OP2   A A  35      70.613  35.629  -8.027  1.00 67.49           O\nATOM    743  O5'   A A  35      68.138  35.409  -7.674  1.00 69.12           O\nATOM    744  C5'   A A  35      66.791  35.233  -8.158  1.00 71.95           C\nATOM    745  C4'   A A  35      65.999  34.348  -7.216  1.00 73.29           C\nATOM    746  O4'   A A  35      66.330  32.957  -7.426  1.00 71.52           O\nATOM    747  C3'   A A  35      66.228  34.575  -5.733  1.00 75.03           C\nATOM    748  O3'   A A  35      65.477  35.689  -5.246  1.00 79.27           O\nATOM    749  C2'   A A  35      65.806  33.241  -5.122  1.00 73.35           C\nATOM    750  O2'   A A  35      64.415  33.130  -4.902  1.00 73.82           O\nATOM    751  C1'   A A  35      66.202  32.251  -6.217  1.00 69.82           C\nATOM    752  N9    A A  35      67.458  31.568  -5.953  1.00 66.95           N\nATOM    753  C8    A A  35      68.714  31.908  -6.382  1.00 65.90           C\nATOM    754  N7    A A  35      69.650  31.095  -5.969  1.00 63.58           N\nATOM    755  C5    A A  35      68.964  30.158  -5.217  1.00 64.51           C\nATOM    756  C6    A A  35      69.394  29.030  -4.505  1.00 64.64           C\nATOM    757  N6    A A  35      70.676  28.646  -4.442  1.00 64.41           N\nATOM    758  N1    A A  35      68.454  28.302  -3.853  1.00 64.67           N\nATOM    759  C2    A A  35      67.173  28.694  -3.936  1.00 64.93           C\nATOM    760  N3    A A  35      66.650  29.737  -4.582  1.00 64.37           N\nATOM    761  C4    A A  35      67.612  30.435  -5.203  1.00 64.99           C\nATOM    762  P     A A  36      66.113  36.647  -4.115  1.00 81.67           P\nATOM    763  OP1   A A  36      65.045  37.623  -3.738  1.00 81.59           O\nATOM    764  OP2   A A  36      67.432  37.156  -4.600  1.00 82.66           O\nATOM    765  O5'   A A  36      66.374  35.639  -2.911  1.00 83.98           O\nATOM    766  C5'   A A  36      65.302  34.813  -2.451  1.00 87.71           C\nATOM    767  C4'   A A  36      65.801  33.698  -1.565  1.00 90.67           C\nATOM    768  O4'   A A  36      66.568  32.696  -2.288  1.00 89.82           O\nATOM    769  C3'   A A  36      66.712  33.999  -0.388  1.00 92.78           C\nATOM    770  O3'   A A  36      66.031  34.644   0.701  1.00 97.07           O\nATOM    771  C2'   A A  36      67.162  32.587   0.010  1.00 91.11           C\nATOM    772  O2'   A A  36      66.278  31.932   0.896  1.00 92.17           O\nATOM    773  C1'   A A  36      67.143  31.833  -1.328  1.00 88.90           C\nATOM    774  N9    A A  36      68.488  31.414  -1.719  1.00 85.94           N\nATOM    775  C8    A A  36      69.437  32.000  -2.530  1.00 84.74           C\nATOM    776  N7    A A  36      70.588  31.361  -2.537  1.00 83.82           N\nATOM    777  C5    A A  36      70.369  30.267  -1.700  1.00 84.29           C\nATOM    778  C6    A A  36      71.195  29.192  -1.278  1.00 84.05           C\nATOM    779  N6    A A  36      72.462  29.017  -1.673  1.00 85.59           N\nATOM    780  N1    A A  36      70.658  28.283  -0.430  1.00 83.44           N\nATOM    781  C2    A A  36      69.385  28.429  -0.052  1.00 82.14           C\nATOM    782  N3    A A  36      68.512  29.376  -0.383  1.00 82.89           N\nATOM    783  C4    A A  36      69.074  30.277  -1.213  1.00 84.44           C\nATOM    823  P     A A  38      69.075  33.984   6.915  1.00 95.95           P\nATOM    824  OP1   A A  38      68.607  34.325   8.279  1.00 96.86           O\nATOM    825  OP2   A A  38      69.344  35.071   5.940  1.00 96.06           O\nATOM    826  O5'   A A  38      70.393  33.112   7.051  1.00 93.01           O\nATOM    827  C5'   A A  38      70.417  31.929   7.859  1.00 91.33           C\nATOM    828  C4'   A A  38      71.783  31.310   7.804  1.00 90.73           C\nATOM    829  O4'   A A  38      72.019  30.786   6.472  1.00 89.61           O\nATOM    830  C3'   A A  38      72.876  32.339   8.008  1.00 90.95           C\nATOM    831  O3'   A A  38      73.107  32.623   9.369  1.00 92.09           O\nATOM    832  C2'   A A  38      74.046  31.768   7.218  1.00 90.07           C\nATOM    833  O2'   A A  38      74.791  30.775   7.903  1.00 89.63           O\nATOM    834  C1'   A A  38      73.308  31.178   6.015  1.00 88.20           C\nATOM    835  N9    A A  38      73.101  32.188   4.971  1.00 84.93           N\nATOM    836  C8    A A  38      71.911  32.814   4.660  1.00 83.84           C\nATOM    837  N7    A A  38      72.004  33.675   3.679  1.00 82.59           N\nATOM    838  C5    A A  38      73.344  33.617   3.312  1.00 82.67           C\nATOM    839  C6    A A  38      74.081  34.292   2.315  1.00 81.67           C\nATOM    840  N6    A A  38      73.539  35.181   1.471  1.00 80.44           N\nATOM    841  N1    A A  38      75.404  34.015   2.214  1.00 80.84           N\nATOM    842  C2    A A  38      75.938  33.108   3.055  1.00 81.31           C\nATOM    843  N3    A A  38      75.346  32.402   4.026  1.00 82.09           N\nATOM    844  C4    A A  38      74.035  32.708   4.104  1.00 83.08           C\nATOM    886  P     U A  41      80.313  42.447   9.767  1.00 63.29           P\nATOM    887  OP1   U A  41      81.427  42.965  10.609  1.00 65.66           O\nATOM    888  OP2   U A  41      79.049  42.016  10.412  1.00 63.65           O\nATOM    889  O5'   U A  41      79.984  43.552   8.669  1.00 62.24           O\nATOM    890  C5'   U A  41      81.036  44.143   7.918  1.00 56.79           C\nATOM    891  C4'   U A  41      80.498  45.168   6.953  1.00 56.45           C\nATOM    892  O4'   U A  41      79.680  44.526   5.942  1.00 53.37           O\nATOM    893  C3'   U A  41      79.592  46.251   7.508  1.00 54.69           C\nATOM    894  O3'   U A  41      80.283  47.292   8.160  1.00 55.80           O\nATOM    895  C2'   U A  41      78.887  46.737   6.251  1.00 52.98           C\nATOM    896  O2'   U A  41      79.686  47.539   5.407  1.00 54.28           O\nATOM    897  C1'   U A  41      78.651  45.424   5.527  1.00 49.85           C\nATOM    898  N1    U A  41      77.358  44.851   5.928  1.00 45.19           N\nATOM    899  C2    U A  41      76.197  45.430   5.430  1.00 41.52           C\nATOM    900  O2    U A  41      76.190  46.418   4.723  1.00 42.41           O\nATOM    901  N3    U A  41      75.046  44.808   5.803  1.00 41.65           N\nATOM    902  C4    U A  41      74.928  43.710   6.596  1.00 40.75           C\nATOM    903  O4    U A  41      73.826  43.203   6.735  1.00 49.24           O\nATOM    904  C5    U A  41      76.154  43.186   7.099  1.00 43.67           C\nATOM    905  C6    U A  41      77.302  43.767   6.753  1.00 41.90           C\nATOM    906  P     G A  42      79.705  47.861   9.545  1.00 53.54           P\nATOM    907  OP1   G A  42      80.846  48.577  10.148  1.00 56.88           O\nATOM    908  OP2   G A  42      79.060  46.769  10.292  1.00 47.65           O\nATOM    909  O5'   G A  42      78.638  48.930   9.059  1.00 51.64           O\nATOM    910  C5'   G A  42      79.001  49.877   8.054  1.00 51.41           C\nATOM    911  C4'   G A  42      77.769  50.433   7.372  1.00 54.00           C\nATOM    912  O4'   G A  42      77.032  49.365   6.704  1.00 51.14           O\nATOM    913  C3'   G A  42      76.726  51.067   8.272  1.00 53.82           C\nATOM    914  O3'   G A  42      77.060  52.389   8.660  1.00 57.90           O\nATOM    915  C2'   G A  42      75.480  51.029   7.397  1.00 53.12           C\nATOM    916  O2'   G A  42      75.444  52.122   6.489  1.00 55.26           O\nATOM    917  C1'   G A  42      75.657  49.688   6.671  1.00 49.13           C\nATOM    918  N9    G A  42      74.906  48.601   7.302  1.00 44.46           N\nATOM    919  C8    G A  42      75.381  47.535   8.030  1.00 41.11           C\nATOM    920  N7    G A  42      74.431  46.730   8.433  1.00 41.58           N\nATOM    921  C5    G A  42      73.265  47.311   7.951  1.00 42.30           C\nATOM    922  C6    G A  42      71.901  46.887   8.049  1.00 39.56           C\nATOM    923  O6    G A  42      71.457  45.892   8.572  1.00 41.46           O\nATOM    924  N1    G A  42      71.044  47.776   7.421  1.00 40.73           N\nATOM    925  C2    G A  42      71.439  48.906   6.760  1.00 39.14           C\nATOM    926  N2    G A  42      70.481  49.648   6.204  1.00 43.75           N\nATOM    927  N3    G A  42      72.696  49.297   6.643  1.00 42.69           N\nATOM    928  C4    G A  42      73.544  48.463   7.263  1.00 41.15           C\nATOM    929  P     G A  43      76.348  53.024   9.953  1.00 59.25           P\nATOM    930  OP1   G A  43      76.997  54.350  10.246  1.00 56.83           O\nATOM    931  OP2   G A  43      76.330  51.946  10.985  1.00 53.33           O\nATOM    932  O5'   G A  43      74.844  53.245   9.472  1.00 55.31           O\nATOM    933  C5'   G A  43      74.543  54.211   8.454  1.00 54.14           C\nATOM    934  C4'   G A  43      73.059  54.264   8.204  1.00 51.95           C\nATOM    935  O4'   G A  43      72.595  52.976   7.736  1.00 49.20           O\nATOM    936  C3'   G A  43      72.190  54.541   9.414  1.00 53.09           C\nATOM    937  O3'   G A  43      72.143  55.927   9.696  1.00 58.30           O\nATOM    938  C2'   G A  43      70.852  53.982   8.963  1.00 50.69           C\nATOM    939  O2'   G A  43      70.277  54.842   8.008  1.00 55.19           O\nATOM    940  C1'   G A  43      71.295  52.730   8.219  1.00 46.94           C\nATOM    941  N9    G A  43      71.350  51.546   9.071  1.00 44.87           N\nATOM    942  C8    G A  43      72.451  50.993   9.658  1.00 41.57           C\nATOM    943  N7    G A  43      72.182  49.898  10.321  1.00 41.08           N\nATOM    944  C5    G A  43      70.826  49.729  10.161  1.00 40.57           C\nATOM    945  C6    G A  43      69.965  48.713  10.615  1.00 40.78           C\nATOM    946  O6    G A  43      70.230  47.688  11.221  1.00 38.22           O\nATOM    947  N1    G A  43      68.652  48.964  10.259  1.00 41.30           N\nATOM    948  C2    G A  43      68.217  50.037   9.555  1.00 42.51           C\nATOM    949  N2    G A  43      66.869  50.119   9.354  1.00 42.42           N\nATOM    950  N3    G A  43      69.008  50.969   9.090  1.00 44.65           N\nATOM    951  C4    G A  43      70.291  50.756   9.425  1.00 44.20           C\nATOM    952  P     A A  44      71.830  56.434  11.191  1.00 59.72           P\nATOM    953  OP1   A A  44      72.143  57.887  11.179  1.00 60.18           O\nATOM    954  OP2   A A  44      72.477  55.542  12.203  1.00 59.03           O\nATOM    955  O5'   A A  44      70.251  56.220  11.341  1.00 61.19           O\nATOM    956  C5'   A A  44      69.317  56.879  10.465  1.00 59.15           C\nATOM    957  C4'   A A  44      67.971  56.191  10.523  1.00 58.59           C\nATOM    958  O4'   A A  44      68.135  54.794  10.173  1.00 58.70           O\nATOM    959  C3'   A A  44      67.277  56.140  11.871  1.00 58.67           C\nATOM    960  O3'   A A  44      66.523  57.316  12.123  1.00 60.86           O\nATOM    961  C2'   A A  44      66.365  54.931  11.744  1.00 56.86           C\nATOM    962  O2'   A A  44      65.162  55.206  11.061  1.00 56.94           O\nATOM    963  C1'   A A  44      67.208  53.996  10.887  1.00 54.14           C\nATOM    964  N9    A A  44      67.970  53.042  11.685  1.00 47.88           N\nATOM    965  C8    A A  44      69.290  53.122  12.063  1.00 44.83           C\nATOM    966  N7    A A  44      69.697  52.091  12.767  1.00 43.37           N\nATOM    967  C5    A A  44      68.570  51.276  12.856  1.00 41.45           C\nATOM    968  C6    A A  44      68.345  50.029  13.433  1.00 42.09           C\nATOM    969  N6    A A  44      69.278  49.331  14.092  1.00 45.08           N\nATOM    970  N1    A A  44      67.101  49.482  13.313  1.00 42.78           N\nATOM    971  C2    A A  44      66.176  50.170  12.653  1.00 41.91           C\nATOM    972  N3    A A  44      66.268  51.351  12.075  1.00 40.34           N\nATOM    973  C4    A A  44      67.500  51.858  12.203  1.00 45.75           C\nATOM    974  P     G A  45      66.470  57.914  13.620  1.00 58.58           P\nATOM    975  OP1   G A  45      65.444  58.996  13.659  1.00 60.46           O\nATOM    976  OP2   G A  45      67.862  58.228  14.011  1.00 57.19           O\nATOM    977  O5'   G A  45      65.905  56.683  14.444  1.00 57.67           O\nATOM    978  C5'   G A  45      64.533  56.287  14.311  1.00 52.30           C\nATOM    979  C4'   G A  45      64.255  55.158  15.248  1.00 50.49           C\nATOM    980  O4'   G A  45      65.017  54.002  14.829  1.00 50.44           O\nATOM    981  C3'   G A  45      64.685  55.408  16.681  1.00 49.36           C\nATOM    982  O3'   G A  45      63.616  56.059  17.359  1.00 51.42           O\nATOM    983  C2'   G A  45      64.894  53.991  17.190  1.00 48.83           C\nATOM    984  O2'   G A  45      63.645  53.382  17.453  1.00 45.60           O\nATOM    985  C1'   G A  45      65.456  53.277  15.954  1.00 45.24           C\nATOM    986  N9    G A  45      66.920  53.202  15.909  1.00 41.15           N\nATOM    987  C8    G A  45      67.772  54.149  15.386  1.00 40.45           C\nATOM    988  N7    G A  45      69.031  53.833  15.507  1.00 39.19           N\nATOM    989  C5    G A  45      69.014  52.601  16.134  1.00 35.16           C\nATOM    990  C6    G A  45      70.070  51.816  16.551  1.00 38.09           C\nATOM    991  O6    G A  45      71.292  52.028  16.410  1.00 39.62           O\nATOM    992  N1    G A  45      69.636  50.685  17.196  1.00 37.05           N\nATOM    993  C2    G A  45      68.338  50.332  17.390  1.00 38.47           C\nATOM    994  N2    G A  45      68.164  49.150  17.996  1.00 39.48           N\nATOM    995  N3    G A  45      67.301  51.072  17.004  1.00 37.37           N\nATOM    996  C4    G A  45      67.719  52.193  16.390  1.00 36.46           C\nATOM   1021  P     U A  47      61.607  57.698  23.777  1.00 47.19           P\nATOM   1022  OP1   U A  47      60.804  56.464  23.970  1.00 48.54           O\nATOM   1023  OP2   U A  47      61.264  58.639  22.661  1.00 50.14           O\nATOM   1024  O5'   U A  47      61.587  58.598  25.089  1.00 45.96           O\nATOM   1025  C5'   U A  47      62.341  59.800  25.124  1.00 48.85           C\nATOM   1026  C4'   U A  47      62.482  60.255  26.545  1.00 50.43           C\nATOM   1027  O4'   U A  47      61.241  60.814  27.040  1.00 50.06           O\nATOM   1028  C3'   U A  47      62.833  59.116  27.493  1.00 49.46           C\nATOM   1029  O3'   U A  47      63.658  59.705  28.465  1.00 50.38           O\nATOM   1030  C2'   U A  47      61.488  58.710  28.088  1.00 48.84           C\nATOM   1031  O2'   U A  47      61.620  58.065  29.342  1.00 41.07           O\nATOM   1032  C1'   U A  47      60.798  60.075  28.167  1.00 50.55           C\nATOM   1033  N1    U A  47      59.332  60.087  28.149  1.00 54.98           N\nATOM   1034  C2    U A  47      58.686  60.797  29.157  1.00 56.81           C\nATOM   1035  O2    U A  47      59.281  61.400  30.035  1.00 56.24           O\nATOM   1036  N3    U A  47      57.319  60.784  29.079  1.00 58.14           N\nATOM   1037  C4    U A  47      56.552  60.165  28.123  1.00 58.07           C\nATOM   1038  O4    U A  47      55.332  60.325  28.140  1.00 59.44           O\nATOM   1039  C5    U A  47      57.289  59.452  27.121  1.00 57.49           C\nATOM   1040  C6    U A  47      58.613  59.436  27.164  1.00 55.97           C\nATOM   1041  P     C A  48      65.235  59.648  28.260  1.00 51.91           P\nATOM   1042  OP1   C A  48      65.823  60.627  29.208  1.00 48.27           O\nATOM   1043  OP2   C A  48      65.455  59.769  26.780  1.00 53.23           O\nATOM   1044  O5'   C A  48      65.585  58.155  28.696  1.00 48.16           O\nATOM   1045  C5'   C A  48      65.553  57.821  30.068  1.00 37.25           C\nATOM   1046  C4'   C A  48      66.046  56.424  30.251  1.00 33.96           C\nATOM   1047  O4'   C A  48      67.242  56.203  29.430  1.00 33.29           O\nATOM   1048  C3'   C A  48      66.457  56.168  31.682  1.00 32.27           C\nATOM   1049  O3'   C A  48      66.149  54.821  32.011  1.00 29.89           O\nATOM   1050  C2'   C A  48      67.972  56.366  31.634  1.00 27.98           C\nATOM   1051  O2'   C A  48      68.646  55.696  32.665  1.00 27.27           O\nATOM   1052  C1'   C A  48      68.291  55.799  30.245  1.00 27.98           C\nATOM   1053  N1    C A  48      69.554  56.279  29.660  1.00 23.61           N\nATOM   1054  C2    C A  48      70.690  55.421  29.693  1.00 24.90           C\nATOM   1055  O2    C A  48      70.567  54.326  30.181  1.00 24.38           O\nATOM   1056  N3    C A  48      71.884  55.875  29.215  1.00 23.05           N\nATOM   1057  C4    C A  48      71.964  57.127  28.722  1.00 24.65           C\nATOM   1058  N4    C A  48      73.163  57.592  28.288  1.00 21.79           N\nATOM   1059  C5    C A  48      70.843  57.978  28.653  1.00 27.10           C\nATOM   1060  C6    C A  48      69.665  57.518  29.131  1.00 23.05           C\nATOM   1082  P     U A  50      62.421  58.828  32.744  1.00 33.43           P\nATOM   1083  OP1   U A  50      62.480  59.502  31.468  1.00 33.78           O\nATOM   1084  OP2   U A  50      63.651  58.683  33.637  1.00 30.15           O\nATOM   1085  O5'   U A  50      61.374  59.605  33.659  1.00 33.34           O\nATOM   1086  C5'   U A  50      60.011  59.728  33.268  1.00 34.47           C\nATOM   1087  C4'   U A  50      59.218  60.444  34.331  1.00 31.72           C\nATOM   1088  O4'   U A  50      58.928  59.552  35.438  1.00 29.81           O\nATOM   1089  C3'   U A  50      59.871  61.655  34.983  1.00 32.89           C\nATOM   1090  O3'   U A  50      59.731  62.817  34.131  1.00 33.31           O\nATOM   1091  C2'   U A  50      59.066  61.725  36.279  1.00 33.15           C\nATOM   1092  O2'   U A  50      57.727  62.115  35.997  1.00 35.03           O\nATOM   1093  C1'   U A  50      58.966  60.259  36.646  1.00 31.45           C\nATOM   1094  N1    U A  50      60.113  59.812  37.453  1.00 31.52           N\nATOM   1095  C2    U A  50      60.106  60.183  38.793  1.00 30.82           C\nATOM   1096  O2    U A  50      59.256  60.941  39.253  1.00 30.94           O\nATOM   1097  N3    U A  50      61.128  59.648  39.560  1.00 28.21           N\nATOM   1098  C4    U A  50      62.143  58.831  39.099  1.00 27.57           C\nATOM   1099  O4    U A  50      62.938  58.308  39.924  1.00 33.33           O\nATOM   1100  C5    U A  50      62.120  58.581  37.684  1.00 29.31           C\nATOM   1101  C6    U A  50      61.140  59.068  36.927  1.00 31.19           C\nATOM   1102  P     G A  51      60.854  63.992  34.167  1.00 39.01           P\nATOM   1103  OP1   G A  51      60.476  64.987  33.121  1.00 35.87           O\nATOM   1104  OP2   G A  51      62.217  63.402  34.134  1.00 37.91           O\nATOM   1105  O5'   G A  51      60.648  64.595  35.600  1.00 36.58           O\nATOM   1106  C5'   G A  51      59.391  65.231  35.906  1.00 40.92           C\nATOM   1107  C4'   G A  51      59.365  65.668  37.334  1.00 38.83           C\nATOM   1108  O4'   G A  51      59.409  64.501  38.203  1.00 38.03           O\nATOM   1109  C3'   G A  51      60.529  66.527  37.797  1.00 40.34           C\nATOM   1110  O3'   G A  51      60.383  67.887  37.400  1.00 41.89           O\nATOM   1111  C2'   G A  51      60.488  66.292  39.298  1.00 38.39           C\nATOM   1112  O2'   G A  51      59.369  66.938  39.873  1.00 35.78           O\nATOM   1113  C1'   G A  51      60.143  64.799  39.378  1.00 37.87           C\nATOM   1114  N9    G A  51      61.303  63.902  39.460  1.00 32.83           N\nATOM   1115  C8    G A  51      61.915  63.238  38.424  1.00 33.29           C\nATOM   1116  N7    G A  51      62.917  62.483  38.830  1.00 36.76           N\nATOM   1117  C5    G A  51      62.986  62.690  40.208  1.00 35.57           C\nATOM   1118  C6    G A  51      63.913  62.188  41.197  1.00 34.80           C\nATOM   1119  O6    G A  51      64.846  61.404  41.049  1.00 35.08           O\nATOM   1120  N1    G A  51      63.653  62.706  42.466  1.00 36.79           N\nATOM   1121  C2    G A  51      62.620  63.573  42.759  1.00 37.65           C\nATOM   1122  N2    G A  51      62.530  63.985  44.032  1.00 35.39           N\nATOM   1123  N3    G A  51      61.746  64.007  41.868  1.00 36.74           N\nATOM   1124  C4    G A  51      61.996  63.548  40.619  1.00 35.55           C\nATOM   1125  P     U A  52      61.706  68.803  37.121  1.00 42.84           P\nATOM   1126  OP1   U A  52      61.321  70.142  36.563  1.00 41.91           O\nATOM   1127  OP2   U A  52      62.726  68.025  36.369  1.00 41.76           O\nATOM   1128  O5'   U A  52      62.224  68.978  38.598  1.00 36.07           O\nATOM   1129  C5'   U A  52      61.477  69.672  39.558  1.00 34.35           C\nATOM   1130  C4'   U A  52      62.118  69.559  40.905  1.00 33.37           C\nATOM   1131  O4'   U A  52      62.012  68.190  41.401  1.00 32.65           O\nATOM   1132  C3'   U A  52      63.616  69.845  41.000  1.00 33.39           C\nATOM   1133  O3'   U A  52      63.932  71.237  41.043  1.00 39.74           O\nATOM   1134  C2'   U A  52      63.939  69.176  42.335  1.00 30.75           C\nATOM   1135  O2'   U A  52      63.396  69.967  43.391  1.00 32.96           O\nATOM   1136  C1'   U A  52      63.119  67.888  42.237  1.00 31.31           C\nATOM   1137  N1    U A  52      63.946  66.845  41.579  1.00 30.44           N\nATOM   1138  C2    U A  52      64.863  66.182  42.369  1.00 30.06           C\nATOM   1139  O2    U A  52      65.009  66.454  43.550  1.00 29.26           O\nATOM   1140  N3    U A  52      65.623  65.231  41.729  1.00 29.70           N\nATOM   1141  C4    U A  52      65.587  64.922  40.408  1.00 34.08           C\nATOM   1142  O4    U A  52      66.347  64.036  39.967  1.00 34.26           O\nATOM   1143  C5    U A  52      64.622  65.680  39.641  1.00 33.07           C\nATOM   1144  C6    U A  52      63.831  66.587  40.266  1.00 26.53           C\nATOM   1145  P     G A  53      65.414  71.746  40.572  1.00 37.07           P\nATOM   1146  OP1   G A  53      65.308  73.211  40.502  1.00 37.71           O\nATOM   1147  OP2   G A  53      65.813  70.998  39.374  1.00 30.94           O\nATOM   1148  O5'   G A  53      66.393  71.211  41.694  1.00 32.28           O\nATOM   1149  C5'   G A  53      66.229  71.538  43.081  1.00 34.99           C\nATOM   1150  C4'   G A  53      67.174  70.724  43.912  1.00 34.42           C\nATOM   1151  O4'   G A  53      66.864  69.323  43.765  1.00 35.23           O\nATOM   1152  C3'   G A  53      68.665  70.782  43.620  1.00 34.67           C\nATOM   1153  O3'   G A  53      69.247  71.895  44.262  1.00 38.95           O\nATOM   1154  C2'   G A  53      69.164  69.500  44.283  1.00 34.61           C\nATOM   1155  O2'   G A  53      69.182  69.612  45.688  1.00 34.19           O\nATOM   1156  C1'   G A  53      68.019  68.537  43.991  1.00 32.96           C\nATOM   1157  N9    G A  53      68.320  67.761  42.786  1.00 28.24           N\nATOM   1158  C8    G A  53      67.793  67.893  41.556  1.00 31.68           C\nATOM   1159  N7    G A  53      68.284  67.042  40.701  1.00 26.28           N\nATOM   1160  C5    G A  53      69.196  66.319  41.426  1.00 28.92           C\nATOM   1161  C6    G A  53      70.091  65.297  41.013  1.00 25.46           C\nATOM   1162  O6    G A  53      70.220  64.815  39.895  1.00 28.07           O\nATOM   1163  N1    G A  53      70.897  64.869  42.059  1.00 29.47           N\nATOM   1164  C2    G A  53      70.866  65.396  43.328  1.00 26.11           C\nATOM   1165  N2    G A  53      71.750  64.920  44.203  1.00 30.39           N\nATOM   1166  N3    G A  53      70.033  66.332  43.705  1.00 30.28           N\nATOM   1167  C4    G A  53      69.234  66.743  42.708  1.00 26.13           C\nATOM   1209  P     C A  56      79.893  73.323  40.427  1.00 37.81           P\nATOM   1210  OP1   C A  56      81.372  73.714  40.748  1.00 37.74           O\nATOM   1211  OP2   C A  56      78.768  74.121  41.003  1.00 35.29           O\nATOM   1212  O5'   C A  56      79.825  73.304  38.871  1.00 33.59           O\nATOM   1213  C5'   C A  56      79.545  74.494  38.135  1.00 33.82           C\nATOM   1214  C4'   C A  56      79.735  74.239  36.678  1.00 32.83           C\nATOM   1215  O4'   C A  56      81.120  73.946  36.360  1.00 33.52           O\nATOM   1216  C3'   C A  56      78.954  73.036  36.142  1.00 30.99           C\nATOM   1217  O3'   C A  56      77.596  73.405  35.829  1.00 31.77           O\nATOM   1218  C2'   C A  56      79.739  72.659  34.901  1.00 31.94           C\nATOM   1219  O2'   C A  56      79.480  73.400  33.725  1.00 29.83           O\nATOM   1220  C1'   C A  56      81.174  72.955  35.333  1.00 33.49           C\nATOM   1221  N1    C A  56      81.800  71.739  35.857  1.00 29.51           N\nATOM   1222  C2    C A  56      82.298  70.818  34.956  1.00 28.07           C\nATOM   1223  O2    C A  56      82.160  71.013  33.755  1.00 29.82           O\nATOM   1224  N3    C A  56      82.907  69.716  35.412  1.00 27.72           N\nATOM   1225  C4    C A  56      83.035  69.503  36.720  1.00 32.68           C\nATOM   1226  N4    C A  56      83.675  68.399  37.102  1.00 29.93           N\nATOM   1227  C5    C A  56      82.515  70.397  37.674  1.00 30.58           C\nATOM   1228  C6    C A  56      81.894  71.503  37.204  1.00 29.09           C\nATOM   1229  P     G A  57      76.379  72.458  36.349  1.00 32.12           P\nATOM   1230  OP1   G A  57      75.189  73.231  35.952  1.00 34.27           O\nATOM   1231  OP2   G A  57      76.558  72.064  37.745  1.00 22.22           O\nATOM   1232  O5'   G A  57      76.529  71.173  35.451  1.00 28.84           O\nATOM   1233  C5'   G A  57      76.321  71.233  34.052  1.00 30.38           C\nATOM   1234  C4'   G A  57      76.829  69.964  33.385  1.00 32.75           C\nATOM   1235  O4'   G A  57      78.284  69.786  33.566  1.00 34.57           O\nATOM   1236  C3'   G A  57      76.221  68.672  33.883  1.00 29.11           C\nATOM   1237  O3'   G A  57      74.937  68.457  33.239  1.00 27.73           O\nATOM   1238  C2'   G A  57      77.251  67.650  33.423  1.00 28.35           C\nATOM   1239  O2'   G A  57      77.136  67.492  32.013  1.00 34.71           O\nATOM   1240  C1'   G A  57      78.571  68.404  33.655  1.00 32.37           C\nATOM   1241  N9    G A  57      79.153  68.106  34.968  1.00 26.80           N\nATOM   1242  C8    G A  57      79.113  68.840  36.137  1.00 26.67           C\nATOM   1243  N7    G A  57      79.792  68.266  37.110  1.00 27.09           N\nATOM   1244  C5    G A  57      80.280  67.087  36.529  1.00 28.66           C\nATOM   1245  C6    G A  57      81.103  66.037  37.080  1.00 28.50           C\nATOM   1246  O6    G A  57      81.588  65.974  38.203  1.00 28.04           O\nATOM   1247  N1    G A  57      81.358  65.033  36.153  1.00 27.23           N\nATOM   1248  C2    G A  57      80.910  65.036  34.858  1.00 27.75           C\nATOM   1249  N2    G A  57      81.215  63.982  34.112  1.00 25.22           N\nATOM   1250  N3    G A  57      80.185  66.017  34.328  1.00 27.62           N\nATOM   1251  C4    G A  57      79.901  66.989  35.227  1.00 25.05           C\nATOM   1275  P     U A  59      72.617  61.530  31.733  1.00 41.00           P\nATOM   1276  OP1   U A  59      73.971  61.410  31.109  1.00 33.02           O\nATOM   1277  OP2   U A  59      71.557  62.222  31.005  1.00 41.76           O\nATOM   1278  O5'   U A  59      72.130  60.048  31.994  1.00 39.14           O\nATOM   1279  C5'   U A  59      70.719  59.794  32.346  1.00 35.32           C\nATOM   1280  C4'   U A  59      70.618  58.472  33.026  1.00 29.87           C\nATOM   1281  O4'   U A  59      71.242  57.502  32.161  1.00 30.33           O\nATOM   1282  C3'   U A  59      71.352  58.357  34.366  1.00 30.46           C\nATOM   1283  O3'   U A  59      70.546  58.855  35.497  1.00 31.17           O\nATOM   1284  C2'   U A  59      71.629  56.872  34.435  1.00 34.51           C\nATOM   1285  O2'   U A  59      70.529  56.200  35.034  1.00 33.82           O\nATOM   1286  C1'   U A  59      71.808  56.483  32.934  1.00 34.05           C\nATOM   1287  N1    U A  59      73.191  56.244  32.453  1.00 30.28           N\nATOM   1288  C2    U A  59      73.828  55.055  32.883  1.00 33.87           C\nATOM   1289  O2    U A  59      73.232  54.201  33.510  1.00 40.51           O\nATOM   1290  N3    U A  59      75.160  54.920  32.534  1.00 31.37           N\nATOM   1291  C4    U A  59      75.886  55.811  31.767  1.00 33.85           C\nATOM   1292  O4    U A  59      76.986  55.468  31.336  1.00 34.46           O\nATOM   1293  C5    U A  59      75.128  57.004  31.315  1.00 30.62           C\nATOM   1294  C6    U A  59      73.842  57.148  31.666  1.00 24.94           C\nATOM   1295  P     C A  60      71.267  59.539  36.803  1.00 33.56           P\nATOM   1296  OP1   C A  60      70.297  59.837  37.820  1.00 32.77           O\nATOM   1297  OP2   C A  60      72.180  60.638  36.294  1.00 34.80           O\nATOM   1298  O5'   C A  60      72.351  58.459  37.303  1.00 29.47           O\nATOM   1299  C5'   C A  60      71.983  57.223  37.962  1.00 31.76           C\nATOM   1300  C4'   C A  60      73.252  56.436  38.285  1.00 32.79           C\nATOM   1301  O4'   C A  60      74.024  56.360  37.069  1.00 34.84           O\nATOM   1302  C3'   C A  60      74.192  57.080  39.322  1.00 35.07           C\nATOM   1303  O3'   C A  60      74.832  56.043  40.028  1.00 38.94           O\nATOM   1304  C2'   C A  60      75.220  57.789  38.455  1.00 34.97           C\nATOM   1305  O2'   C A  60      76.489  58.039  39.019  1.00 36.28           O\nATOM   1306  C1'   C A  60      75.336  56.786  37.306  1.00 32.64           C\nATOM   1307  N1    C A  60      75.849  57.370  36.090  1.00 32.74           N\nATOM   1308  C2    C A  60      76.958  56.775  35.475  1.00 33.30           C\nATOM   1309  O2    C A  60      77.484  55.783  36.004  1.00 37.02           O\nATOM   1310  N3    C A  60      77.445  57.308  34.368  1.00 27.75           N\nATOM   1311  C4    C A  60      76.919  58.410  33.866  1.00 31.44           C\nATOM   1312  N4    C A  60      77.491  58.943  32.854  1.00 31.16           N\nATOM   1313  C5    C A  60      75.767  59.040  34.441  1.00 31.34           C\nATOM   1314  C6    C A  60      75.274  58.489  35.549  1.00 34.59           C\nATOM   1315  P     C A  61      74.243  55.584  41.447  1.00 42.61           P\nATOM   1316  OP1   C A  61      75.151  54.490  41.830  1.00 44.00           O\nATOM   1317  OP2   C A  61      72.781  55.398  41.440  1.00 37.71           O\nATOM   1318  O5'   C A  61      74.477  56.853  42.390  1.00 39.76           O\nATOM   1319  C5'   C A  61      75.717  57.059  43.037  1.00 43.07           C\nATOM   1320  C4'   C A  61      75.643  58.316  43.840  1.00 39.59           C\nATOM   1321  O4'   C A  61      75.807  59.456  42.959  1.00 37.14           O\nATOM   1322  C3'   C A  61      74.297  58.531  44.524  1.00 38.59           C\nATOM   1323  O3'   C A  61      74.209  57.799  45.784  1.00 39.28           O\nATOM   1324  C2'   C A  61      74.292  60.040  44.702  1.00 37.97           C\nATOM   1325  O2'   C A  61      75.174  60.397  45.747  1.00 38.59           O\nATOM   1326  C1'   C A  61      74.974  60.515  43.421  1.00 36.12           C\nATOM   1327  N1    C A  61      74.069  60.960  42.325  1.00 33.98           N\nATOM   1328  C2    C A  61      73.361  62.180  42.471  1.00 33.04           C\nATOM   1329  O2    C A  61      73.490  62.839  43.524  1.00 35.58           O\nATOM   1330  N3    C A  61      72.551  62.600  41.455  1.00 35.45           N\nATOM   1331  C4    C A  61      72.421  61.838  40.349  1.00 35.34           C\nATOM   1332  N4    C A  61      71.550  62.237  39.373  1.00 32.83           N\nATOM   1333  C5    C A  61      73.147  60.623  40.187  1.00 35.42           C\nATOM   1334  C6    C A  61      73.938  60.221  41.188  1.00 31.03           C\nATOM   1335  P     A A  62      72.777  57.319  46.334  1.00 42.33           P\nATOM   1336  OP1   A A  62      73.023  56.390  47.455  1.00 41.97           O\nATOM   1337  OP2   A A  62      71.960  56.820  45.161  1.00 42.66           O\nATOM   1338  O5'   A A  62      72.104  58.670  46.874  1.00 43.04           O\nATOM   1339  C5'   A A  62      72.719  59.460  47.936  1.00 39.06           C\nATOM   1340  C4'   A A  62      71.882  60.684  48.244  1.00 39.69           C\nATOM   1341  O4'   A A  62      71.968  61.660  47.165  1.00 39.39           O\nATOM   1342  C3'   A A  62      70.391  60.442  48.405  1.00 40.80           C\nATOM   1343  O3'   A A  62      70.103  59.945  49.700  1.00 43.31           O\nATOM   1344  C2'   A A  62      69.808  61.827  48.120  1.00 41.10           C\nATOM   1345  O2'   A A  62      70.016  62.793  49.130  1.00 43.43           O\nATOM   1346  C1'   A A  62      70.711  62.312  46.995  1.00 38.85           C\nATOM   1347  N9    A A  62      70.182  62.021  45.654  1.00 32.58           N\nATOM   1348  C8    A A  62      70.560  61.004  44.827  1.00 33.66           C\nATOM   1349  N7    A A  62      70.002  61.038  43.650  1.00 32.82           N\nATOM   1350  C5    A A  62      69.158  62.140  43.707  1.00 31.78           C\nATOM   1351  C6    A A  62      68.304  62.715  42.759  1.00 29.57           C\nATOM   1352  N6    A A  62      68.170  62.255  41.478  1.00 29.13           N\nATOM   1353  N1    A A  62      67.590  63.788  43.135  1.00 31.96           N\nATOM   1354  C2    A A  62      67.754  64.268  44.373  1.00 33.29           C\nATOM   1355  N3    A A  62      68.548  63.835  45.349  1.00 32.89           N\nATOM   1356  C4    A A  62      69.239  62.747  44.945  1.00 35.51           C\nATOM   1357  P     C A  63      68.913  58.881  49.918  1.00 43.35           P\nATOM   1358  OP1   C A  63      69.009  58.532  51.351  1.00 49.74           O\nATOM   1359  OP2   C A  63      68.970  57.790  48.905  1.00 46.77           O\nATOM   1360  O5'   C A  63      67.599  59.762  49.769  1.00 45.50           O\nATOM   1361  C5'   C A  63      67.371  60.836  50.703  1.00 44.28           C\nATOM   1362  C4'   C A  63      66.263  61.750  50.244  1.00 44.77           C\nATOM   1363  O4'   C A  63      66.669  62.512  49.079  1.00 41.48           O\nATOM   1364  C3'   C A  63      64.958  61.089  49.850  1.00 46.16           C\nATOM   1365  O3'   C A  63      64.160  60.771  51.005  1.00 51.01           O\nATOM   1366  C2'   C A  63      64.325  62.154  48.972  1.00 43.55           C\nATOM   1367  O2'   C A  63      63.764  63.209  49.763  1.00 48.54           O\nATOM   1368  C1'   C A  63      65.541  62.713  48.233  1.00 39.95           C\nATOM   1369  N1    C A  63      65.788  62.041  46.918  1.00 35.72           N\nATOM   1370  C2    C A  63      65.155  62.553  45.793  1.00 32.68           C\nATOM   1371  O2    C A  63      64.440  63.541  45.950  1.00 36.07           O\nATOM   1372  N3    C A  63      65.328  61.946  44.571  1.00 34.10           N\nATOM   1373  C4    C A  63      66.113  60.839  44.485  1.00 31.53           C\nATOM   1374  N4    C A  63      66.253  60.229  43.282  1.00 34.07           N\nATOM   1375  C5    C A  63      66.783  60.308  45.617  1.00 35.81           C\nATOM   1376  C6    C A  63      66.603  60.941  46.809  1.00 36.37           C\nATOM   1377  P     A A  64      63.129  59.542  50.943  1.00 57.75           P\nATOM   1378  OP1   A A  64      62.528  59.402  52.300  1.00 58.22           O\nATOM   1379  OP2   A A  64      63.807  58.359  50.338  1.00 54.03           O\nATOM   1380  O5'   A A  64      62.008  60.100  49.971  1.00 54.48           O\nATOM   1381  C5'   A A  64      61.194  61.198  50.398  1.00 56.10           C\nATOM   1382  C4'   A A  64      60.204  61.569  49.339  1.00 54.58           C\nATOM   1383  O4'   A A  64      60.917  62.255  48.276  1.00 53.92           O\nATOM   1384  C3'   A A  64      59.459  60.433  48.632  1.00 56.48           C\nATOM   1385  O3'   A A  64      58.374  59.780  49.384  1.00 56.71           O\nATOM   1386  C2'   A A  64      59.036  61.152  47.349  1.00 53.00           C\nATOM   1387  O2'   A A  64      57.994  62.076  47.565  1.00 56.42           O\nATOM   1388  C1'   A A  64      60.283  61.983  47.026  1.00 51.87           C\nATOM   1389  N9    A A  64      61.176  61.174  46.178  1.00 45.48           N\nATOM   1390  C8    A A  64      62.220  60.374  46.567  1.00 42.54           C\nATOM   1391  N7    A A  64      62.766  59.702  45.585  1.00 42.30           N\nATOM   1392  C5    A A  64      62.051  60.122  44.466  1.00 40.22           C\nATOM   1393  C6    A A  64      62.152  59.783  43.119  1.00 36.50           C\nATOM   1394  N6    A A  64      63.082  58.963  42.657  1.00 34.41           N\nATOM   1395  N1    A A  64      61.261  60.326  42.262  1.00 37.69           N\nATOM   1396  C2    A A  64      60.346  61.178  42.745  1.00 36.62           C\nATOM   1397  N3    A A  64      60.169  61.600  43.991  1.00 36.71           N\nATOM   1398  C4    A A  64      61.070  61.018  44.815  1.00 39.74           C\nATOM   1399  P     G A  65      58.068  58.186  49.152  1.00 58.45           P\nATOM   1400  OP1   G A  65      57.104  57.682  50.155  1.00 62.97           O\nATOM   1401  OP2   G A  65      59.328  57.423  48.941  1.00 61.74           O\nATOM   1402  O5'   G A  65      57.302  58.169  47.766  1.00 57.06           O\nATOM   1403  C5'   G A  65      56.297  59.121  47.518  1.00 49.45           C\nATOM   1404  C4'   G A  65      55.988  59.170  46.060  1.00 45.91           C\nATOM   1405  O4'   G A  65      57.113  59.757  45.358  1.00 43.81           O\nATOM   1406  C3'   G A  65      55.711  57.868  45.316  1.00 45.00           C\nATOM   1407  O3'   G A  65      54.366  57.370  45.509  1.00 47.48           O\nATOM   1408  C2'   G A  65      55.920  58.322  43.886  1.00 41.79           C\nATOM   1409  O2'   G A  65      54.776  59.084  43.491  1.00 39.93           O\nATOM   1410  C1'   G A  65      57.142  59.262  44.032  1.00 42.23           C\nATOM   1411  N9    G A  65      58.373  58.489  43.875  1.00 39.23           N\nATOM   1412  C8    G A  65      59.245  58.086  44.861  1.00 37.65           C\nATOM   1413  N7    G A  65      60.189  57.305  44.420  1.00 35.71           N\nATOM   1414  C5    G A  65      59.942  57.213  43.050  1.00 38.74           C\nATOM   1415  C6    G A  65      60.647  56.509  42.009  1.00 36.19           C\nATOM   1416  O6    G A  65      61.690  55.776  42.101  1.00 38.10           O\nATOM   1417  N1    G A  65      60.040  56.710  40.766  1.00 37.09           N\nATOM   1418  C2    G A  65      58.920  57.482  40.550  1.00 37.20           C\nATOM   1419  N2    G A  65      58.460  57.534  39.290  1.00 36.90           N\nATOM   1420  N3    G A  65      58.288  58.152  41.498  1.00 33.44           N\nATOM   1421  C4    G A  65      58.838  57.965  42.703  1.00 36.71           C\nATOM   1422  P     A A  66      54.074  55.782  45.410  1.00 48.51           P\nATOM   1423  OP1   A A  66      52.701  55.474  45.862  1.00 50.89           O\nATOM   1424  OP2   A A  66      55.214  55.033  46.008  1.00 48.73           O\nATOM   1425  O5'   A A  66      54.173  55.469  43.863  1.00 45.90           O\nATOM   1426  C5'   A A  66      53.339  56.143  42.940  1.00 46.19           C\nATOM   1427  C4'   A A  66      53.671  55.677  41.542  1.00 46.27           C\nATOM   1428  O4'   A A  66      55.037  56.058  41.206  1.00 44.63           O\nATOM   1429  C3'   A A  66      53.666  54.171  41.354  1.00 44.76           C\nATOM   1430  O3'   A A  66      52.326  53.680  41.155  1.00 46.57           O\nATOM   1431  C2'   A A  66      54.535  54.017  40.112  1.00 42.31           C\nATOM   1432  O2'   A A  66      53.773  54.358  38.980  1.00 44.56           O\nATOM   1433  C1'   A A  66      55.595  55.117  40.311  1.00 40.50           C\nATOM   1434  N9    A A  66      56.838  54.618  40.902  1.00 38.52           N\nATOM   1435  C8    A A  66      57.216  54.722  42.216  1.00 37.83           C\nATOM   1436  N7    A A  66      58.365  54.141  42.488  1.00 38.64           N\nATOM   1437  C5    A A  66      58.784  53.639  41.260  1.00 37.61           C\nATOM   1438  C6    A A  66      59.943  52.898  40.877  1.00 36.94           C\nATOM   1439  N6    A A  66      60.924  52.566  41.728  1.00 34.85           N\nATOM   1440  N1    A A  66      60.042  52.511  39.596  1.00 36.33           N\nATOM   1441  C2    A A  66      59.056  52.850  38.752  1.00 37.97           C\nATOM   1442  N3    A A  66      57.922  53.552  38.986  1.00 38.42           N\nATOM   1443  C4    A A  66      57.850  53.916  40.276  1.00 37.28           C\nATOM   1444  P     A A  67      51.950  52.180  41.620  1.00 46.84           P\nATOM   1445  OP1   A A  67      50.472  52.017  41.466  1.00 50.38           O\nATOM   1446  OP2   A A  67      52.569  51.904  42.938  1.00 43.27           O\nATOM   1447  O5'   A A  67      52.644  51.252  40.553  1.00 44.33           O\nATOM   1448  C5'   A A  67      52.276  51.321  39.167  1.00 45.20           C\nATOM   1449  C4'   A A  67      53.319  50.645  38.320  1.00 43.61           C\nATOM   1450  O4'   A A  67      54.601  51.353  38.446  1.00 42.36           O\nATOM   1451  C3'   A A  67      53.636  49.208  38.725  1.00 41.30           C\nATOM   1452  O3'   A A  67      52.690  48.291  38.163  1.00 46.52           O\nATOM   1453  C2'   A A  67      55.053  49.024  38.157  1.00 42.21           C\nATOM   1454  O2'   A A  67      55.039  48.819  36.759  1.00 41.99           O\nATOM   1455  C1'   A A  67      55.669  50.417  38.391  1.00 41.64           C\nATOM   1456  N9    A A  67      56.441  50.432  39.643  1.00 39.97           N\nATOM   1457  C8    A A  67      56.129  50.866  40.893  1.00 40.04           C\nATOM   1458  N7    A A  67      57.062  50.618  41.788  1.00 37.46           N\nATOM   1459  C5    A A  67      58.077  50.015  41.060  1.00 37.07           C\nATOM   1460  C6    A A  67      59.348  49.481  41.435  1.00 37.10           C\nATOM   1461  N6    A A  67      59.864  49.515  42.677  1.00 37.48           N\nATOM   1462  N1    A A  67      60.076  48.895  40.483  1.00 37.12           N\nATOM   1463  C2    A A  67      59.577  48.842  39.230  1.00 42.46           C\nATOM   1464  N3    A A  67      58.415  49.313  38.758  1.00 39.78           N\nATOM   1465  C4    A A  67      57.712  49.894  39.743  1.00 37.61           C\nATOM   1466  P     U A  68      52.371  46.894  38.917  1.00 42.45           P\nATOM   1467  OP1   U A  68      51.176  46.256  38.300  1.00 49.18           O\nATOM   1468  OP2   U A  68      52.399  47.127  40.381  1.00 41.13           O\nATOM   1469  O5'   U A  68      53.625  45.986  38.529  1.00 44.81           O\nATOM   1470  C5'   U A  68      53.889  45.709  37.150  1.00 43.19           C\nATOM   1471  C4'   U A  68      55.168  44.940  37.012  1.00 43.76           C\nATOM   1472  O4'   U A  68      56.296  45.792  37.351  1.00 42.13           O\nATOM   1473  C3'   U A  68      55.315  43.758  37.955  1.00 41.59           C\nATOM   1474  O3'   U A  68      54.653  42.598  37.490  1.00 42.60           O\nATOM   1475  C2'   U A  68      56.825  43.573  37.996  1.00 38.55           C\nATOM   1476  O2'   U A  68      57.255  43.012  36.776  1.00 36.20           O\nATOM   1477  C1'   U A  68      57.286  45.028  38.018  1.00 40.75           C\nATOM   1478  N1    U A  68      57.451  45.543  39.385  1.00 40.94           N\nATOM   1479  C2    U A  68      58.636  45.212  40.015  1.00 38.74           C\nATOM   1480  O2    U A  68      59.470  44.485  39.490  1.00 38.70           O\nATOM   1481  N3    U A  68      58.804  45.747  41.261  1.00 37.87           N\nATOM   1482  C4    U A  68      57.924  46.564  41.939  1.00 41.13           C\nATOM   1483  O4    U A  68      58.175  46.857  43.097  1.00 38.53           O\nATOM   1484  C5    U A  68      56.693  46.846  41.241  1.00 42.38           C\nATOM   1485  C6    U A  68      56.502  46.326  40.013  1.00 41.40           C\nATOM   1486  P     U A  69      54.151  41.542  38.559  1.00 39.53           P\nATOM   1487  OP1   U A  69      53.485  40.463  37.781  1.00 45.74           O\nATOM   1488  OP2   U A  69      53.441  42.272  39.591  1.00 36.81           O\nATOM   1489  O5'   U A  69      55.409  40.901  39.291  1.00 37.79           O\nATOM   1490  C5'   U A  69      56.364  40.117  38.558  1.00 37.34           C\nATOM   1491  C4'   U A  69      57.582  39.880  39.400  1.00 37.79           C\nATOM   1492  O4'   U A  69      58.241  41.150  39.731  1.00 36.27           O\nATOM   1493  C3'   U A  69      57.300  39.247  40.746  1.00 37.91           C\nATOM   1494  O3'   U A  69      57.092  37.832  40.625  1.00 37.28           O\nATOM   1495  C2'   U A  69      58.553  39.630  41.533  1.00 35.61           C\nATOM   1496  O2'   U A  69      59.645  38.794  41.156  1.00 34.07           O\nATOM   1497  C1'   U A  69      58.796  41.050  41.019  1.00 34.46           C\nATOM   1498  N1    U A  69      58.186  42.082  41.876  1.00 33.94           N\nATOM   1499  C2    U A  69      58.871  42.410  43.052  1.00 34.89           C\nATOM   1500  O2    U A  69      59.947  41.899  43.373  1.00 36.74           O\nATOM   1501  N3    U A  69      58.261  43.334  43.836  1.00 35.12           N\nATOM   1502  C4    U A  69      57.071  43.985  43.603  1.00 37.89           C\nATOM   1503  O4    U A  69      56.665  44.808  44.432  1.00 37.56           O\nATOM   1504  C5    U A  69      56.419  43.627  42.355  1.00 38.56           C\nATOM   1505  C6    U A  69      56.991  42.702  41.549  1.00 35.52           C\nATOM   1506  P     C A  70      56.232  37.065  41.726  1.00 41.13           P\nATOM   1507  OP1   C A  70      55.792  35.757  41.056  1.00 42.55           O\nATOM   1508  OP2   C A  70      55.233  37.976  42.338  1.00 39.43           O\nATOM   1509  O5'   C A  70      57.233  36.693  42.902  1.00 36.56           O\nATOM   1510  C5'   C A  70      58.371  35.817  42.663  1.00 39.97           C\nATOM   1511  C4'   C A  70      59.348  35.925  43.805  1.00 42.01           C\nATOM   1512  O4'   C A  70      59.923  37.260  43.909  1.00 41.84           O\nATOM   1513  C3'   C A  70      58.743  35.702  45.172  1.00 41.90           C\nATOM   1514  O3'   C A  70      58.575  34.329  45.408  1.00 45.51           O\nATOM   1515  C2'   C A  70      59.765  36.355  46.087  1.00 41.68           C\nATOM   1516  O2'   C A  70      60.879  35.486  46.166  1.00 42.55           O\nATOM   1517  C1'   C A  70      60.163  37.591  45.267  1.00 36.50           C\nATOM   1518  N1    C A  70      59.360  38.780  45.597  1.00 39.49           N\nATOM   1519  C2    C A  70      59.805  39.676  46.617  1.00 39.47           C\nATOM   1520  O2    C A  70      60.879  39.451  47.194  1.00 41.25           O\nATOM   1521  N3    C A  70      59.047  40.767  46.935  1.00 37.96           N\nATOM   1522  C4    C A  70      57.901  40.982  46.285  1.00 40.08           C\nATOM   1523  N4    C A  70      57.169  42.038  46.653  1.00 40.99           N\nATOM   1524  C5    C A  70      57.445  40.109  45.229  1.00 39.06           C\nATOM   1525  C6    C A  70      58.187  39.026  44.934  1.00 35.59           C\nATOM   1526  P     G A  71      57.514  33.856  46.509  1.00 51.79           P\nATOM   1527  OP1   G A  71      57.674  32.367  46.524  1.00 50.10           O\nATOM   1528  OP2   G A  71      56.203  34.485  46.254  1.00 46.01           O\nATOM   1529  O5'   G A  71      58.085  34.416  47.884  1.00 49.09           O\nATOM   1530  C5'   G A  71      59.164  33.703  48.505  1.00 56.68           C\nATOM   1531  C4'   G A  71      59.688  34.434  49.701  1.00 58.95           C\nATOM   1532  O4'   G A  71      60.125  35.757  49.305  1.00 57.94           O\nATOM   1533  C3'   G A  71      58.716  34.693  50.839  1.00 63.78           C\nATOM   1534  O3'   G A  71      58.514  33.580  51.699  1.00 70.59           O\nATOM   1535  C2'   G A  71      59.392  35.845  51.559  1.00 63.20           C\nATOM   1536  O2'   G A  71      60.455  35.370  52.375  1.00 64.19           O\nATOM   1537  C1'   G A  71      59.915  36.661  50.374  1.00 59.19           C\nATOM   1538  N9    G A  71      58.897  37.620  49.946  1.00 58.54           N\nATOM   1539  C8    G A  71      58.004  37.488  48.897  1.00 56.09           C\nATOM   1540  N7    G A  71      57.207  38.519  48.769  1.00 54.09           N\nATOM   1541  C5    G A  71      57.597  39.383  49.788  1.00 53.61           C\nATOM   1542  C6    G A  71      57.114  40.666  50.148  1.00 52.69           C\nATOM   1543  O6    G A  71      56.184  41.315  49.653  1.00 52.69           O\nATOM   1544  N1    G A  71      57.827  41.196  51.223  1.00 52.34           N\nATOM   1545  C2    G A  71      58.844  40.566  51.884  1.00 53.05           C\nATOM   1546  N2    G A  71      59.399  41.251  52.885  1.00 55.23           N\nATOM   1547  N3    G A  71      59.291  39.360  51.585  1.00 54.72           N\nATOM   1548  C4    G A  71      58.636  38.835  50.526  1.00 55.38           C\nATOM   1549  P     C A  72      57.094  33.402  52.426  1.00 73.67           P\nATOM   1550  OP1   C A  72      57.177  32.132  53.187  1.00 76.79           O\nATOM   1551  OP2   C A  72      56.011  33.588  51.427  1.00 75.72           O\nATOM   1552  O5'   C A  72      57.017  34.599  53.469  1.00 74.00           O\nATOM   1553  C5'   C A  72      57.817  34.563  54.660  1.00 75.03           C\nATOM   1554  C4'   C A  72      57.653  35.834  55.450  1.00 74.38           C\nATOM   1555  O4'   C A  72      57.964  36.953  54.582  1.00 74.64           O\nATOM   1556  C3'   C A  72      56.261  36.155  55.979  1.00 76.09           C\nATOM   1557  O3'   C A  72      55.932  35.502  57.209  1.00 78.85           O\nATOM   1558  C2'   C A  72      56.302  37.671  56.139  1.00 74.55           C\nATOM   1559  O2'   C A  72      56.872  38.146  57.338  1.00 75.06           O\nATOM   1560  C1'   C A  72      57.184  38.082  54.963  1.00 72.55           C\nATOM   1561  N1    C A  72      56.343  38.502  53.829  1.00 68.80           N\nATOM   1562  C2    C A  72      55.796  39.801  53.838  1.00 66.61           C\nATOM   1563  O2    C A  72      56.063  40.568  54.791  1.00 63.14           O\nATOM   1564  N3    C A  72      54.993  40.180  52.815  1.00 64.67           N\nATOM   1565  C4    C A  72      54.734  39.331  51.818  1.00 64.57           C\nATOM   1566  N4    C A  72      53.935  39.749  50.832  1.00 63.54           N\nATOM   1567  C5    C A  72      55.283  38.015  51.780  1.00 64.77           C\nATOM   1568  C6    C A  72      56.077  37.647  52.792  1.00 67.37           C\nATOM   1569  P     A A  73      54.383  35.178  57.550  1.00 79.81           P\nATOM   1570  OP1   A A  73      54.333  34.483  58.872  1.00 81.24           O\nATOM   1571  OP2   A A  73      53.785  34.517  56.355  1.00 79.38           O\nATOM   1572  O5'   A A  73      53.739  36.617  57.766  1.00 77.14           O\nATOM   1573  C5'   A A  73      54.204  37.443  58.849  1.00 75.83           C\nATOM   1574  C4'   A A  73      53.508  38.772  58.837  1.00 74.32           C\nATOM   1575  O4'   A A  73      53.912  39.514  57.654  1.00 72.81           O\nATOM   1576  C3'   A A  73      51.987  38.727  58.750  1.00 73.77           C\nATOM   1577  O3'   A A  73      51.332  38.492  59.999  1.00 76.93           O\nATOM   1578  C2'   A A  73      51.667  40.101  58.178  1.00 71.67           C\nATOM   1579  O2'   A A  73      51.704  41.127  59.141  1.00 70.42           O\nATOM   1580  C1'   A A  73      52.823  40.304  57.196  1.00 69.17           C\nATOM   1581  N9    A A  73      52.434  39.853  55.856  1.00 64.04           N\nATOM   1582  C8    A A  73      52.792  38.695  55.206  1.00 60.25           C\nATOM   1583  N7    A A  73      52.256  38.571  54.016  1.00 58.41           N\nATOM   1584  C5    A A  73      51.493  39.729  53.869  1.00 57.85           C\nATOM   1585  C6    A A  73      50.683  40.203  52.812  1.00 56.02           C\nATOM   1586  N6    A A  73      50.516  39.541  51.654  1.00 55.49           N\nATOM   1587  N1    A A  73      50.052  41.388  52.979  1.00 53.67           N\nATOM   1588  C2    A A  73      50.233  42.052  54.136  1.00 55.48           C\nATOM   1589  N3    A A  73      50.975  41.713  55.198  1.00 59.62           N\nATOM   1590  C4    A A  73      51.589  40.525  54.993  1.00 59.80           C\nATOM   1591  P     C A  74      49.934  37.680  60.030  1.00 78.48           P\nATOM   1592  OP1   C A  74      49.485  37.580  61.446  1.00 80.11           O\nATOM   1593  OP2   C A  74      50.090  36.441  59.222  1.00 77.06           O\nATOM   1594  O5'   C A  74      48.914  38.636  59.275  1.00 77.54           O\nATOM   1595  C5'   C A  74      48.529  39.898  59.843  1.00 79.25           C\nATOM   1596  C4'   C A  74      47.463  40.541  58.985  1.00 80.49           C\nATOM   1597  O4'   C A  74      48.030  40.879  57.690  1.00 79.75           O\nATOM   1598  C3'   C A  74      46.291  39.627  58.660  1.00 81.62           C\nATOM   1599  O3'   C A  74      45.292  39.640  59.669  1.00 82.15           O\nATOM   1600  C2'   C A  74      45.778  40.187  57.340  1.00 80.42           C\nATOM   1601  O2'   C A  74      44.932  41.302  57.547  1.00 82.05           O\nATOM   1602  C1'   C A  74      47.080  40.621  56.662  1.00 79.08           C\nATOM   1603  N1    C A  74      47.631  39.588  55.748  1.00 76.36           N\nATOM   1604  C2    C A  74      47.204  39.557  54.400  1.00 74.77           C\nATOM   1605  O2    C A  74      46.399  40.404  54.002  1.00 75.12           O\nATOM   1606  N3    C A  74      47.694  38.606  53.571  1.00 73.87           N\nATOM   1607  C4    C A  74      48.588  37.723  54.024  1.00 73.03           C\nATOM   1608  N4    C A  74      49.055  36.813  53.167  1.00 72.80           N\nATOM   1609  C5    C A  74      49.046  37.734  55.376  1.00 73.50           C\nATOM   1610  C6    C A  74      48.543  38.671  56.196  1.00 74.97           C\nATOM   1611  P     C A  75      44.492  38.295  59.994  1.00 83.00           P\nATOM   1612  OP1   C A  75      43.435  38.637  60.974  1.00 84.71           O\nATOM   1613  OP2   C A  75      45.478  37.229  60.303  1.00 81.99           O\nATOM   1614  O5'   C A  75      43.802  37.890  58.618  1.00 84.55           O\nATOM   1615  C5'   C A  75      42.993  38.825  57.874  1.00 85.33           C\nATOM   1616  C4'   C A  75      42.564  38.194  56.568  1.00 86.51           C\nATOM   1617  O4'   C A  75      43.667  38.149  55.630  1.00 84.68           O\nATOM   1618  C3'   C A  75      42.136  36.747  56.733  1.00 88.27           C\nATOM   1619  O3'   C A  75      40.778  36.695  57.104  1.00 95.04           O\nATOM   1620  C2'   C A  75      42.402  36.136  55.366  1.00 85.58           C\nATOM   1621  O2'   C A  75      41.337  36.317  54.459  1.00 84.94           O\nATOM   1622  C1'   C A  75      43.631  36.926  54.915  1.00 82.57           C\nATOM   1623  N1    C A  75      44.883  36.201  55.170  1.00 78.44           N\nATOM   1624  C2    C A  75      45.365  35.327  54.193  1.00 75.98           C\nATOM   1625  O2    C A  75      44.719  35.169  53.149  1.00 74.80           O\nATOM   1626  N3    C A  75      46.512  34.673  54.406  1.00 74.76           N\nATOM   1627  C4    C A  75      47.176  34.846  55.543  1.00 75.41           C\nATOM   1628  N4    C A  75      48.311  34.161  55.705  1.00 75.90           N\nATOM   1629  C5    C A  75      46.709  35.719  56.563  1.00 75.64           C\nATOM   1630  C6    C A  75      45.570  36.373  56.337  1.00 77.27           C\nATOM   1631  P     A A  76      40.334  35.770  58.330  1.00 99.54           P\nATOM   1632  OP1   A A  76      41.267  36.020  59.481  1.00 99.74           O\nATOM   1633  OP2   A A  76      40.226  34.405  57.758  1.00 99.88           O\nATOM   1634  O5'   A A  76      38.872  36.304  58.697  1.00100.19           O\nATOM   1635  C5'   A A  76      38.666  37.596  59.323  1.00100.18           C\nATOM   1636  C4'   A A  76      37.607  38.379  58.569  1.00100.19           C\nATOM   1637  O4'   A A  76      36.479  37.500  58.278  1.00100.19           O\nATOM   1638  C3'   A A  76      37.025  39.585  59.305  1.00100.19           C\nATOM   1639  O3'   A A  76      36.428  40.400  58.274  1.00100.19           O\nATOM   1640  C2'   A A  76      35.785  38.991  59.981  1.00100.19           C\nATOM   1641  O2'   A A  76      34.780  39.945  60.283  1.00100.19           O\nATOM   1642  C1'   A A  76      35.314  37.959  58.950  1.00100.19           C\nATOM   1643  N9    A A  76      34.598  36.785  59.488  1.00100.19           N\nATOM   1644  C8    A A  76      34.399  35.586  58.829  1.00100.19           C\nATOM   1645  N7    A A  76      33.715  34.701  59.522  1.00100.19           N\nATOM   1646  C5    A A  76      33.440  35.352  60.719  1.00100.19           C\nATOM   1647  C6    A A  76      32.739  34.948  61.881  1.00100.19           C\nATOM   1648  N6    A A  76      32.161  33.747  62.024  1.00100.19           N\nATOM   1649  N1    A A  76      32.652  35.835  62.902  1.00100.19           N\nATOM   1650  C2    A A  76      33.230  37.042  62.758  1.00100.19           C\nATOM   1651  N3    A A  76      33.911  37.538  61.720  1.00100.19           N\nATOM   1652  C4    A A  76      33.982  36.637  60.719  1.00100.19           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.246",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.337",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.500",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.754",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FRET-1UBQ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1UBQ (ubiquitin; Lys48 and Lys63 are the two most studied chain-linkage sites), copied unchanged. Model a FRET donor as a point at atom NZ of Lys48 and an acceptor as a point at atom NZ of Lys63. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟短程探针对（R0=2.5 nm）标记在两个赖氨酸 NZ；不代表真实染料。",
   "inputs": [
    {
     "name": "1UBQ-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   MET A   1      27.340  24.430   2.614  1.00  9.67           N\nATOM      2  CA  MET A   1      26.266  25.413   2.842  1.00 10.38           C\nATOM      3  C   MET A   1      26.913  26.639   3.531  1.00  9.62           C\nATOM      4  O   MET A   1      27.886  26.463   4.263  1.00  9.62           O\nATOM      5  CB  MET A   1      25.112  24.880   3.649  1.00 13.77           C\nATOM      6  CG  MET A   1      25.353  24.860   5.134  1.00 16.29           C\nATOM      7  SD  MET A   1      23.930  23.959   5.904  1.00 17.17           S\nATOM      8  CE  MET A   1      24.447  23.984   7.620  1.00 16.11           C\nATOM      9  N   GLN A   2      26.335  27.770   3.258  1.00  9.27           N\nATOM     10  CA  GLN A   2      26.850  29.021   3.898  1.00  9.07           C\nATOM     11  C   GLN A   2      26.100  29.253   5.202  1.00  8.72           C\nATOM     12  O   GLN A   2      24.865  29.024   5.330  1.00  8.22           O\nATOM     13  CB  GLN A   2      26.733  30.148   2.905  1.00 14.46           C\nATOM     14  CG  GLN A   2      26.882  31.546   3.409  1.00 17.01           C\nATOM     15  CD  GLN A   2      26.786  32.562   2.270  1.00 20.10           C\nATOM     16  OE1 GLN A   2      27.783  33.160   1.870  1.00 21.89           O\nATOM     17  NE2 GLN A   2      25.562  32.733   1.806  1.00 19.49           N\nATOM     18  N   ILE A   3      26.849  29.656   6.217  1.00  5.87           N\nATOM     19  CA  ILE A   3      26.235  30.058   7.497  1.00  5.07           C\nATOM     20  C   ILE A   3      26.882  31.428   7.862  1.00  4.01           C\nATOM     21  O   ILE A   3      27.906  31.711   7.264  1.00  4.61           O\nATOM     22  CB  ILE A   3      26.344  29.050   8.645  1.00  6.55           C\nATOM     23  CG1 ILE A   3      27.810  28.748   8.999  1.00  4.72           C\nATOM     24  CG2 ILE A   3      25.491  27.771   8.287  1.00  5.58           C\nATOM     25  CD1 ILE A   3      27.967  28.087  10.417  1.00 10.83           C\nATOM     26  N   PHE A   4      26.214  32.097   8.771  1.00  4.55           N\nATOM     27  CA  PHE A   4      26.772  33.436   9.197  1.00  4.68           C\nATOM     28  C   PHE A   4      27.151  33.362  10.650  1.00  5.30           C\nATOM     29  O   PHE A   4      26.350  32.778  11.395  1.00  5.58           O\nATOM     30  CB  PHE A   4      25.695  34.498   8.946  1.00  4.83           C\nATOM     31  CG  PHE A   4      25.288  34.609   7.499  1.00  7.97           C\nATOM     32  CD1 PHE A   4      24.147  33.966   7.038  1.00  6.69           C\nATOM     33  CD2 PHE A   4      26.136  35.346   6.640  1.00  8.34           C\nATOM     34  CE1 PHE A   4      23.812  34.031   5.677  1.00  9.10           C\nATOM     35  CE2 PHE A   4      25.810  35.392   5.267  1.00 10.61           C\nATOM     36  CZ  PHE A   4      24.620  34.778   4.853  1.00  8.90           C\nATOM     37  N   VAL A   5      28.260  33.943  11.096  1.00  4.44           N\nATOM     38  CA  VAL A   5      28.605  33.965  12.503  1.00  3.87           C\nATOM     39  C   VAL A   5      28.638  35.461  12.900  1.00  4.93           C\nATOM     40  O   VAL A   5      29.522  36.103  12.320  1.00  6.84           O\nATOM     41  CB  VAL A   5      29.963  33.317  12.814  1.00  2.99           C\nATOM     42  CG1 VAL A   5      30.211  33.394  14.304  1.00  5.28           C\nATOM     43  CG2 VAL A   5      29.957  31.838  12.352  1.00  9.13           C\nATOM     44  N   LYS A   6      27.751  35.867  13.740  1.00  6.04           N\nATOM     45  CA  LYS A   6      27.691  37.315  14.143  1.00  6.12           C\nATOM     46  C   LYS A   6      28.469  37.475  15.420  1.00  6.57           C\nATOM     47  O   LYS A   6      28.213  36.753  16.411  1.00  5.76           O\nATOM     48  CB  LYS A   6      26.219  37.684  14.307  1.00  7.45           C\nATOM     49  CG  LYS A   6      25.884  39.139  14.615  1.00 11.12           C\nATOM     50  CD  LYS A   6      24.348  39.296  14.642  1.00 14.54           C\nATOM     51  CE  LYS A   6      23.865  40.723  14.749  1.00 18.84           C\nATOM     52  NZ  LYS A   6      22.375  40.720  14.907  1.00 20.55           N\nATOM     53  N   THR A   7      29.426  38.430  15.446  1.00  7.41           N\nATOM     54  CA  THR A   7      30.225  38.643  16.662  1.00  7.48           C\nATOM     55  C   THR A   7      29.664  39.839  17.434  1.00  8.75           C\nATOM     56  O   THR A   7      28.850  40.565  16.859  1.00  8.58           O\nATOM     57  CB  THR A   7      31.744  38.879  16.299  1.00  9.61           C\nATOM     58  OG1 THR A   7      31.737  40.257  15.824  1.00 11.78           O\nATOM     59  CG2 THR A   7      32.260  37.969  15.171  1.00  9.17           C\nATOM     60  N   LEU A   8      30.132  40.069  18.642  1.00  9.84           N\nATOM     61  CA  LEU A   8      29.607  41.180  19.467  1.00 14.15           C\nATOM     62  C   LEU A   8      30.075  42.538  18.984  1.00 17.37           C\nATOM     63  O   LEU A   8      29.586  43.570  19.483  1.00 17.01           O\nATOM     64  CB  LEU A   8      29.919  40.890  20.938  1.00 16.63           C\nATOM     65  CG  LEU A   8      29.183  39.722  21.581  1.00 18.88           C\nATOM     66  CD1 LEU A   8      29.308  39.750  23.095  1.00 19.31           C\nATOM     67  CD2 LEU A   8      27.700  39.721  21.228  1.00 18.59           C\nATOM     68  N   THR A   9      30.991  42.571  17.998  1.00 18.33           N\nATOM     69  CA  THR A   9      31.422  43.940  17.553  1.00 19.24           C\nATOM     70  C   THR A   9      30.755  44.351  16.277  1.00 19.48           C\nATOM     71  O   THR A   9      31.207  45.268  15.566  1.00 23.14           O\nATOM     72  CB  THR A   9      32.979  43.918  17.445  1.00 18.97           C\nATOM     73  OG1 THR A   9      33.174  43.067  16.265  1.00 20.24           O\nATOM     74  CG2 THR A   9      33.657  43.319  18.672  1.00 19.70           C\nATOM     75  N   GLY A  10      29.721  43.673  15.885  1.00 19.43           N\nATOM     76  CA  GLY A  10      28.978  43.960  14.678  1.00 18.74           C\nATOM     77  C   GLY A  10      29.604  43.507  13.393  1.00 17.62           C\nATOM     78  O   GLY A  10      29.219  43.981  12.301  1.00 19.74           O\nATOM     79  N   LYS A  11      30.563  42.623  13.495  1.00 13.56           N\nATOM     80  CA  LYS A  11      31.191  42.012  12.331  1.00 11.91           C\nATOM     81  C   LYS A  11      30.459  40.666  12.130  1.00 10.18           C\nATOM     82  O   LYS A  11      30.253  39.991  13.133  1.00  9.10           O\nATOM     83  CB  LYS A  11      32.672  41.717  12.505  1.00 13.43           C\nATOM     84  CG  LYS A  11      33.280  41.086  11.227  1.00 16.69           C\nATOM     85  CD  LYS A  11      34.762  40.799  11.470  1.00 17.92           C\nATOM     86  CE  LYS A  11      35.614  40.847  10.240  1.00 20.81           C\nATOM     87  NZ  LYS A  11      35.100  40.073   9.101  1.00 21.93           N\nATOM     88  N   THR A  12      30.163  40.338  10.886  1.00  9.63           N\nATOM     89  CA  THR A  12      29.542  39.020  10.653  1.00  9.85           C\nATOM     90  C   THR A  12      30.494  38.261   9.729  1.00 11.66           C\nATOM     91  O   THR A  12      30.849  38.850   8.706  1.00 12.33           O\nATOM     92  CB  THR A  12      28.113  39.049  10.015  1.00 10.85           C\nATOM     93  OG1 THR A  12      27.280  39.722  10.996  1.00 10.91           O\nATOM     94  CG2 THR A  12      27.588  37.635   9.715  1.00  9.63           C\nATOM     95  N   ILE A  13      30.795  37.015  10.095  1.00 10.42           N\nATOM     96  CA  ILE A  13      31.720  36.289   9.176  1.00 11.84           C\nATOM     97  C   ILE A  13      30.955  35.211   8.459  1.00 10.55           C\nATOM     98  O   ILE A  13      30.025  34.618   9.040  1.00 11.92           O\nATOM     99  CB  ILE A  13      32.995  35.883   9.934  1.00 14.86           C\nATOM    100  CG1 ILE A  13      33.306  34.381   9.840  1.00 14.87           C\nATOM    101  CG2 ILE A  13      33.109  36.381  11.435  1.00 17.08           C\nATOM    102  CD1 ILE A  13      34.535  34.028  10.720  1.00 16.46           C\nATOM    103  N   THR A  14      31.244  34.986   7.197  1.00  9.39           N\nATOM    104  CA  THR A  14      30.505  33.884   6.512  1.00  9.63           C\nATOM    105  C   THR A  14      31.409  32.680   6.446  1.00 11.20           C\nATOM    106  O   THR A  14      32.619  32.812   6.125  1.00 11.63           O\nATOM    107  CB  THR A  14      30.091  34.393   5.078  1.00 10.38           C\nATOM    108  OG1 THR A  14      31.440  34.513   4.487  1.00 16.30           O\nATOM    109  CG2 THR A  14      29.420  35.756   5.119  1.00 11.66           C\nATOM    110  N   LEU A  15      30.884  31.485   6.666  1.00  8.29           N\nATOM    111  CA  LEU A  15      31.677  30.275   6.639  1.00  9.03           C\nATOM    112  C   LEU A  15      31.022  29.288   5.665  1.00  8.59           C\nATOM    113  O   LEU A  15      29.809  29.395   5.545  1.00  7.79           O\nATOM    114  CB  LEU A  15      31.562  29.686   8.045  1.00 11.08           C\nATOM    115  CG  LEU A  15      32.631  29.444   9.060  1.00 15.79           C\nATOM    116  CD1 LEU A  15      33.814  30.390   9.030  1.00 15.88           C\nATOM    117  CD2 LEU A  15      31.945  29.449  10.436  1.00 15.27           C\nATOM    118  N   GLU A  16      31.834  28.412   5.125  1.00 11.04           N\nATOM    119  CA  GLU A  16      31.220  27.341   4.275  1.00 11.50           C\nATOM    120  C   GLU A  16      31.440  26.079   5.080  1.00 10.13           C\nATOM    121  O   GLU A  16      32.576  25.802   5.461  1.00  9.83           O\nATOM    122  CB  GLU A  16      31.827  27.262   2.894  1.00 17.22           C\nATOM    123  CG  GLU A  16      31.363  28.410   1.962  1.00 23.33           C\nATOM    124  CD  GLU A  16      31.671  28.291   0.498  1.00 26.99           C\nATOM    125  OE1 GLU A  16      30.869  28.621  -0.366  1.00 28.86           O\nATOM    126  OE2 GLU A  16      32.835  27.861   0.278  1.00 28.90           O\nATOM    127  N   VAL A  17      30.310  25.458   5.384  1.00  8.99           N\nATOM    128  CA  VAL A  17      30.288  24.245   6.193  1.00  8.85           C\nATOM    129  C   VAL A  17      29.279  23.227   5.641  1.00  8.04           C\nATOM    130  O   VAL A  17      28.478  23.522   4.725  1.00  8.99           O\nATOM    131  CB  VAL A  17      29.903  24.590   7.665  1.00  9.78           C\nATOM    132  CG1 VAL A  17      30.862  25.496   8.389  1.00 12.05           C\nATOM    133  CG2 VAL A  17      28.476  25.135   7.705  1.00 10.54           C\nATOM    134  N   GLU A  18      29.380  22.057   6.232  1.00  7.29           N\nATOM    135  CA  GLU A  18      28.468  20.940   5.980  1.00  7.08           C\nATOM    136  C   GLU A  18      27.819  20.609   7.316  1.00  6.45           C\nATOM    137  O   GLU A  18      28.449  20.674   8.360  1.00  5.28           O\nATOM    138  CB  GLU A  18      29.213  19.697   5.506  1.00 10.28           C\nATOM    139  CG  GLU A  18      29.728  19.755   4.060  1.00 12.65           C\nATOM    140  CD  GLU A  18      28.754  20.061   2.978  1.00 14.15           C\nATOM    141  OE1 GLU A  18      27.546  19.992   2.985  1.00 14.33           O\nATOM    142  OE2 GLU A  18      29.336  20.423   1.904  1.00 18.17           O\nATOM    143  N   PRO A  19      26.559  20.220   7.288  1.00  7.24           N\nATOM    144  CA  PRO A  19      25.829  19.825   8.494  1.00  7.07           C\nATOM    145  C   PRO A  19      26.541  18.732   9.251  1.00  6.65           C\nATOM    146  O   PRO A  19      26.333  18.536  10.457  1.00  6.37           O\nATOM    147  CB  PRO A  19      24.469  19.332   7.952  1.00  7.61           C\nATOM    148  CG  PRO A  19      24.299  20.134   6.704  1.00  8.16           C\nATOM    149  CD  PRO A  19      25.714  20.108   6.073  1.00  7.49           C\nATOM    150  N   SER A  20      27.361  17.959   8.559  1.00  6.80           N\nATOM    151  CA  SER A  20      28.054  16.835   9.210  1.00  6.28           C\nATOM    152  C   SER A  20      29.258  17.318   9.984  1.00  8.45           C\nATOM    153  O   SER A  20      29.930  16.477  10.606  1.00  7.26           O\nATOM    154  CB  SER A  20      28.523  15.820   8.182  1.00  8.57           C\nATOM    155  OG  SER A  20      28.946  16.445   6.967  1.00 11.13           O\nATOM    156  N   ASP A  21      29.599  18.599   9.828  1.00  7.50           N\nATOM    157  CA  ASP A  21      30.796  19.083  10.566  1.00  7.70           C\nATOM    158  C   ASP A  21      30.491  19.162  12.040  1.00  7.08           C\nATOM    159  O   ASP A  21      29.367  19.523  12.441  1.00  8.11           O\nATOM    160  CB  ASP A  21      31.155  20.515  10.048  1.00 11.00           C\nATOM    161  CG  ASP A  21      31.923  20.436   8.755  1.00 15.32           C\nATOM    162  OD1 ASP A  21      32.493  19.374   8.456  1.00 18.03           O\nATOM    163  OD2 ASP A  21      31.838  21.402   7.968  1.00 14.36           O\nATOM    164  N   THR A  22      31.510  18.936  12.852  1.00  5.37           N\nATOM    165  CA  THR A  22      31.398  19.064  14.286  1.00  6.01           C\nATOM    166  C   THR A  22      31.593  20.553  14.655  1.00  8.01           C\nATOM    167  O   THR A  22      32.159  21.311  13.861  1.00  8.11           O\nATOM    168  CB  THR A  22      32.492  18.193  14.995  1.00  8.92           C\nATOM    169  OG1 THR A  22      33.778  18.739  14.516  1.00 10.22           O\nATOM    170  CG2 THR A  22      32.352  16.700  14.630  1.00  9.65           C\nATOM    171  N   ILE A  23      31.113  20.863  15.860  1.00  8.32           N\nATOM    172  CA  ILE A  23      31.288  22.201  16.417  1.00  9.92           C\nATOM    173  C   ILE A  23      32.776  22.519  16.577  1.00 10.01           C\nATOM    174  O   ILE A  23      33.233  23.659  16.384  1.00  8.71           O\nATOM    175  CB  ILE A  23      30.520  22.300  17.764  1.00 10.78           C\nATOM    176  CG1 ILE A  23      29.006  22.043  17.442  1.00 11.38           C\nATOM    177  CG2 ILE A  23      30.832  23.699  18.358  1.00 10.90           C\nATOM    178  CD1 ILE A  23      28.407  22.948  16.366  1.00 12.30           C\nATOM    179  N   GLU A  24      33.548  21.526  16.950  1.00  9.54           N\nATOM    180  CA  GLU A  24      35.031  21.722  17.069  1.00 11.81           C\nATOM    181  C   GLU A  24      35.615  22.190  15.759  1.00 11.14           C\nATOM    182  O   GLU A  24      36.532  23.046  15.724  1.00 10.62           O\nATOM    183  CB  GLU A  24      35.667  20.383  17.447  1.00 19.24           C\nATOM    184  CG  GLU A  24      37.128  20.293  17.872  1.00 27.76           C\nATOM    185  CD  GLU A  24      37.561  18.851  18.082  1.00 32.92           C\nATOM    186  OE1 GLU A  24      37.758  18.024  17.195  1.00 34.80           O\nATOM    187  OE2 GLU A  24      37.628  18.599  19.313  1.00 36.51           O\nATOM    188  N   ASN A  25      35.139  21.624  14.662  1.00  9.43           N\nATOM    189  CA  ASN A  25      35.590  21.945  13.302  1.00 10.96           C\nATOM    190  C   ASN A  25      35.238  23.382  12.920  1.00  9.68           C\nATOM    191  O   ASN A  25      36.066  24.109  12.333  1.00  9.33           O\nATOM    192  CB  ASN A  25      35.064  20.957  12.255  1.00 16.78           C\nATOM    193  CG  ASN A  25      35.541  21.418  10.871  1.00 22.31           C\nATOM    194  OD1 ASN A  25      36.772  21.623  10.676  1.00 25.66           O\nATOM    195  ND2 ASN A  25      34.628  21.595   9.920  1.00 24.70           N\nATOM    196  N   VAL A  26      34.007  23.745  13.250  1.00  6.52           N\nATOM    197  CA  VAL A  26      33.533  25.097  12.978  1.00  5.53           C\nATOM    198  C   VAL A  26      34.441  26.099  13.684  1.00  4.42           C\nATOM    199  O   VAL A  26      34.883  27.090  13.093  1.00  3.40           O\nATOM    200  CB  VAL A  26      32.060  25.257  13.364  1.00  3.86           C\nATOM    201  CG1 VAL A  26      31.684  26.749  13.342  1.00  7.25           C\nATOM    202  CG2 VAL A  26      31.152  24.421  12.477  1.00  8.12           C\nATOM    203  N   LYS A  27      34.734  25.822  14.949  1.00  2.64           N\nATOM    204  CA  LYS A  27      35.596  26.715  15.736  1.00  4.14           C\nATOM    205  C   LYS A  27      36.975  26.826  15.107  1.00  5.58           C\nATOM    206  O   LYS A  27      37.579  27.926  15.159  1.00  4.11           O\nATOM    207  CB  LYS A  27      35.715  26.203  17.172  1.00  3.97           C\nATOM    208  CG  LYS A  27      34.343  26.445  17.898  1.00  7.45           C\nATOM    209  CD  LYS A  27      34.509  26.077  19.360  1.00  9.02           C\nATOM    210  CE  LYS A  27      33.206  26.311  20.122  1.00 12.90           C\nATOM    211  NZ  LYS A  27      33.455  25.910  21.546  1.00 15.47           N\nATOM    212  N   ALA A  28      37.499  25.743  14.571  1.00  6.61           N\nATOM    213  CA  ALA A  28      38.794  25.761  13.880  1.00  7.74           C\nATOM    214  C   ALA A  28      38.728  26.591  12.611  1.00  9.17           C\nATOM    215  O   ALA A  28      39.704  27.346  12.277  1.00 11.45           O\nATOM    216  CB  ALA A  28      39.285  24.336  13.566  1.00  7.68           C\nATOM    217  N   LYS A  29      37.633  26.543  11.867  1.00  8.96           N\nATOM    218  CA  LYS A  29      37.471  27.391  10.668  1.00  7.90           C\nATOM    219  C   LYS A  29      37.441  28.882  11.052  1.00  6.92           C\nATOM    220  O   LYS A  29      38.020  29.772  10.382  1.00  6.87           O\nATOM    221  CB  LYS A  29      36.193  27.058   9.911  1.00 10.28           C\nATOM    222  CG  LYS A  29      36.153  25.620   9.409  1.00 14.94           C\nATOM    223  CD  LYS A  29      34.758  25.280   8.900  1.00 19.69           C\nATOM    224  CE  LYS A  29      34.793  24.264   7.767  1.00 22.63           C\nATOM    225  NZ  LYS A  29      34.914  24.944   6.441  1.00 24.98           N\nATOM    226  N   ILE A  30      36.811  29.170  12.192  1.00  4.57           N\nATOM    227  CA  ILE A  30      36.731  30.570  12.645  1.00  5.58           C\nATOM    228  C   ILE A  30      38.148  30.981  13.069  1.00  7.26           C\nATOM    229  O   ILE A  30      38.544  32.150  12.856  1.00  9.46           O\nATOM    230  CB  ILE A  30      35.708  30.776  13.806  1.00  5.36           C\nATOM    231  CG1 ILE A  30      34.228  30.630  13.319  1.00  2.94           C\nATOM    232  CG2 ILE A  30      35.874  32.138  14.512  1.00  2.78           C\nATOM    233  CD1 ILE A  30      33.284  30.504  14.552  1.00  2.00           C\nATOM    234  N   GLN A  31      38.883  30.110  13.713  1.00  7.06           N\nATOM    235  CA  GLN A  31      40.269  30.508  14.115  1.00  8.67           C\nATOM    236  C   GLN A  31      41.092  30.808  12.851  1.00 10.90           C\nATOM    237  O   GLN A  31      41.828  31.808  12.681  1.00  9.63           O\nATOM    238  CB  GLN A  31      40.996  29.399  14.865  1.00  9.12           C\nATOM    239  CG  GLN A  31      42.445  29.848  15.182  1.00 10.76           C\nATOM    240  CD  GLN A  31      43.090  28.828  16.095  1.00 13.78           C\nATOM    241  OE1 GLN A  31      42.770  27.655  15.906  1.00 14.48           O\nATOM    242  NE2 GLN A  31      43.898  29.252  17.050  1.00 14.76           N\nATOM    243  N   ASP A  32      41.001  29.878  11.931  1.00 10.93           N\nATOM    244  CA  ASP A  32      41.718  30.022  10.643  1.00 14.01           C\nATOM    245  C   ASP A  32      41.399  31.338   9.967  1.00 14.04           C\nATOM    246  O   ASP A  32      42.260  32.036   9.381  1.00 13.39           O\nATOM    247  CB  ASP A  32      41.398  28.780   9.810  1.00 18.01           C\nATOM    248  CG  ASP A  32      42.626  28.557   8.928  1.00 24.33           C\nATOM    249  OD1 ASP A  32      43.666  28.262   9.539  1.00 26.29           O\nATOM    250  OD2 ASP A  32      42.430  28.812   7.728  1.00 25.17           O\nATOM    251  N   LYS A  33      40.117  31.750   9.988  1.00 14.22           N\nATOM    252  CA  LYS A  33      39.808  32.994   9.233  1.00 14.00           C\nATOM    253  C   LYS A  33      39.837  34.271   9.995  1.00 12.37           C\nATOM    254  O   LYS A  33      40.164  35.323   9.345  1.00 12.17           O\nATOM    255  CB  LYS A  33      38.615  32.801   8.320  1.00 18.62           C\nATOM    256  CG  LYS A  33      37.220  32.822   8.827  1.00 24.00           C\nATOM    257  CD  LYS A  33      36.351  33.613   7.838  1.00 27.61           C\nATOM    258  CE  LYS A  33      36.322  32.944   6.477  1.00 27.64           C\nATOM    259  NZ  LYS A  33      35.768  33.945   5.489  1.00 30.06           N\nATOM    260  N   GLU A  34      39.655  34.335  11.285  1.00 10.11           N\nATOM    261  CA  GLU A  34      39.676  35.547  12.072  1.00 10.07           C\nATOM    262  C   GLU A  34      40.675  35.527  13.200  1.00  9.32           C\nATOM    263  O   GLU A  34      40.814  36.528  13.911  1.00 11.61           O\nATOM    264  CB  GLU A  34      38.290  35.814  12.698  1.00 14.77           C\nATOM    265  CG  GLU A  34      37.156  35.985  11.688  1.00 18.75           C\nATOM    266  CD  GLU A  34      37.192  37.361  11.033  1.00 22.28           C\nATOM    267  OE1 GLU A  34      37.519  38.360  11.645  1.00 21.95           O\nATOM    268  OE2 GLU A  34      36.861  37.320   9.822  1.00 25.19           O\nATOM    269  N   GLY A  35      41.317  34.393  13.432  1.00  7.22           N\nATOM    270  CA  GLY A  35      42.345  34.269  14.431  1.00  6.29           C\nATOM    271  C   GLY A  35      41.949  34.076  15.842  1.00  6.93           C\nATOM    272  O   GLY A  35      42.829  34.000  16.739  1.00  7.41           O\nATOM    273  N   ILE A  36      40.642  33.916  16.112  1.00  5.86           N\nATOM    274  CA  ILE A  36      40.226  33.716  17.509  1.00  6.07           C\nATOM    275  C   ILE A  36      40.449  32.278  17.945  1.00  6.36           C\nATOM    276  O   ILE A  36      39.936  31.336  17.315  1.00  6.18           O\nATOM    277  CB  ILE A  36      38.693  34.106  17.595  1.00  7.47           C\nATOM    278  CG1 ILE A  36      38.471  35.546  17.045  1.00  8.52           C\nATOM    279  CG2 ILE A  36      38.146  33.932  19.027  1.00  7.36           C\nATOM    280  CD1 ILE A  36      36.958  35.746  16.680  1.00  9.49           C\nATOM    281  N   PRO A  37      41.189  32.085  19.031  1.00  8.65           N\nATOM    282  CA  PRO A  37      41.461  30.751  19.594  1.00  9.18           C\nATOM    283  C   PRO A  37      40.168  30.026  19.918  1.00  9.85           C\nATOM    284  O   PRO A  37      39.264  30.662  20.521  1.00  8.51           O\nATOM    285  CB  PRO A  37      42.195  31.142  20.913  1.00 11.42           C\nATOM    286  CG  PRO A  37      42.904  32.414  20.553  1.00  9.27           C\nATOM    287  CD  PRO A  37      41.822  33.188  19.813  1.00  8.33           C\nATOM    288  N   PRO A  38      40.059  28.758  19.607  1.00  8.71           N\nATOM    289  CA  PRO A  38      38.817  28.020  19.889  1.00  9.08           C\nATOM    290  C   PRO A  38      38.421  28.048  21.341  1.00  9.28           C\nATOM    291  O   PRO A  38      37.213  28.036  21.704  1.00  6.50           O\nATOM    292  CB  PRO A  38      39.090  26.629  19.325  1.00 10.31           C\nATOM    293  CG  PRO A  38      40.082  26.904  18.198  1.00 10.81           C\nATOM    294  CD  PRO A  38      41.035  27.909  18.879  1.00 12.00           C\nATOM    295  N   ASP A  39      39.374  28.090  22.240  1.00 11.20           N\nATOM    296  CA  ASP A  39      39.063  28.063  23.695  1.00 14.96           C\nATOM    297  C   ASP A  39      38.365  29.335  24.159  1.00 13.99           C\nATOM    298  O   ASP A  39      37.684  29.390  25.221  1.00 13.75           O\nATOM    299  CB  ASP A  39      40.340  27.692  24.468  1.00 24.16           C\nATOM    300  CG  ASP A  39      40.559  28.585  25.675  1.00 31.06           C\nATOM    301  OD1 ASP A  39      40.716  29.809  25.456  1.00 35.55           O\nATOM    302  OD2 ASP A  39      40.549  28.090  26.840  1.00 34.22           O\nATOM    303  N   GLN A  40      38.419  30.373  23.341  1.00 11.60           N\nATOM    304  CA  GLN A  40      37.738  31.637  23.712  1.00 10.76           C\nATOM    305  C   GLN A  40      36.334  31.742  23.087  1.00  8.01           C\nATOM    306  O   GLN A  40      35.574  32.618  23.483  1.00  8.96           O\nATOM    307  CB  GLN A  40      38.528  32.854  23.182  1.00 11.14           C\nATOM    308  CG  GLN A  40      39.919  32.854  23.840  1.00 14.85           C\nATOM    309  CD  GLN A  40      40.760  34.036  23.394  1.00 16.11           C\nATOM    310  OE1 GLN A  40      41.975  34.008  23.624  1.00 20.52           O\nATOM    311  NE2 GLN A  40      40.140  35.007  22.775  1.00 18.16           N\nATOM    312  N   GLN A  41      36.000  30.860  22.172  1.00  6.52           N\nATOM    313  CA  GLN A  41      34.738  30.875  21.473  1.00  3.87           C\nATOM    314  C   GLN A  41      33.589  30.189  22.181  1.00  4.79           C\nATOM    315  O   GLN A  41      33.580  29.009  22.499  1.00  6.34           O\nATOM    316  CB  GLN A  41      34.876  30.237  20.066  1.00  4.20           C\nATOM    317  CG  GLN A  41      36.012  30.860  19.221  1.00  3.20           C\nATOM    318  CD  GLN A  41      36.083  30.194  17.875  1.00  4.89           C\nATOM    319  OE1 GLN A  41      35.048  29.702  17.393  1.00  5.21           O\nATOM    320  NE2 GLN A  41      37.228  30.126  17.233  1.00  7.13           N\nATOM    321  N   ARG A  42      32.478  30.917  22.269  1.00  5.73           N\nATOM    322  CA  ARG A  42      31.200  30.329  22.780  1.00  6.97           C\nATOM    323  C   ARG A  42      30.210  30.509  21.650  1.00  7.15           C\nATOM    324  O   ARG A  42      29.978  31.726  21.269  1.00  7.33           O\nATOM    325  CB  ARG A  42      30.847  30.931  24.118  1.00 13.23           C\nATOM    326  CG  ARG A  42      29.412  30.796  24.598  1.00 21.27           C\nATOM    327  CD  ARG A  42      29.271  31.314  26.016  1.00 26.14           C\nATOM    328  NE  ARG A  42      27.875  31.317  26.443  1.00 32.26           N\nATOM    329  CZ  ARG A  42      27.132  32.423  26.574  1.00 34.32           C\nATOM    330  NH1 ARG A  42      27.630  33.656  26.461  1.00 35.30           N\nATOM    331  NH2 ARG A  42      25.810  32.299  26.732  1.00 36.39           N\nATOM    332  N   LEU A  43      29.694  29.436  21.054  1.00  4.65           N\nATOM    333  CA  LEU A  43      28.762  29.573  19.906  1.00  3.51           C\nATOM    334  C   LEU A  43      27.331  29.317  20.364  1.00  5.56           C\nATOM    335  O   LEU A  43      27.101  28.346  21.097  1.00  4.19           O\nATOM    336  CB  LEU A  43      29.151  28.655  18.755  1.00  3.74           C\nATOM    337  CG  LEU A  43      30.416  28.912  17.980  1.00  6.32           C\nATOM    338  CD1 LEU A  43      30.738  27.693  17.122  1.00  9.55           C\nATOM    339  CD2 LEU A  43      30.205  30.168  17.129  1.00  6.41           C\nATOM    340  N   ILE A  44      26.436  30.232  20.004  1.00  4.58           N\nATOM    341  CA  ILE A  44      25.034  30.170  20.401  1.00  5.55           C\nATOM    342  C   ILE A  44      24.101  30.149  19.196  1.00  5.46           C\nATOM    343  O   ILE A  44      24.196  30.948  18.287  1.00  6.04           O\nATOM    344  CB  ILE A  44      24.639  31.426  21.286  1.00  6.80           C\nATOM    345  CG1 ILE A  44      25.646  31.670  22.421  1.00 10.31           C\nATOM    346  CG2 ILE A  44      23.181  31.309  21.824  1.00  7.39           C\nATOM    347  CD1 ILE A  44      25.778  30.436  23.356  1.00 13.90           C\nATOM    348  N   PHE A  45      23.141  29.187  19.241  1.00  6.75           N\nATOM    349  CA  PHE A  45      22.126  29.062  18.183  1.00  4.70           C\nATOM    350  C   PHE A  45      20.835  28.629  18.904  1.00  6.34           C\nATOM    351  O   PHE A  45      20.821  27.734  19.749  1.00  5.45           O\nATOM    352  CB  PHE A  45      22.494  28.057  17.109  1.00  5.51           C\nATOM    353  CG  PHE A  45      21.447  27.869  16.026  1.00  5.98           C\nATOM    354  CD1 PHE A  45      21.325  28.813  15.005  1.00  6.86           C\nATOM    355  CD2 PHE A  45      20.638  26.735  16.053  1.00  5.87           C\nATOM    356  CE1 PHE A  45      20.369  28.648  14.001  1.00  6.68           C\nATOM    357  CE2 PHE A  45      19.677  26.539  15.051  1.00  6.64           C\nATOM    358  CZ  PHE A  45      19.593  27.465  14.021  1.00  6.84           C\nATOM    359  N   ALA A  46      19.810  29.378  18.578  1.00  6.53           N\nATOM    360  CA  ALA A  46      18.443  29.143  19.083  1.00  7.15           C\nATOM    361  C   ALA A  46      18.453  28.941  20.591  1.00  9.00           C\nATOM    362  O   ALA A  46      17.860  27.994  21.128  1.00 11.15           O\nATOM    363  CB  ALA A  46      17.864  27.977  18.346  1.00  8.99           C\nATOM    364  N   GLY A  47      19.172  29.808  21.243  1.00  9.35           N\nATOM    365  CA  GLY A  47      19.399  29.894  22.655  1.00 11.68           C\nATOM    366  C   GLY A  47      20.083  28.729  23.321  1.00 11.14           C\nATOM    367  O   GLY A  47      19.991  28.584  24.561  1.00 13.93           O\nATOM    368  N   LYS A  48      20.801  27.931  22.578  1.00 10.47           N\nATOM    369  CA  LYS A  48      21.550  26.796  23.133  1.00  8.82           C\nATOM    370  C   LYS A  48      23.046  27.087  22.913  1.00  7.68           C\nATOM    371  O   LYS A  48      23.383  27.627  21.870  1.00  6.47           O\nATOM    372  CB  LYS A  48      21.242  25.519  22.391  1.00  9.74           C\nATOM    373  CG  LYS A  48      19.762  25.077  22.455  1.00 14.14           C\nATOM    374  CD  LYS A  48      19.634  23.885  21.531  1.00 16.32           C\nATOM    375  CE  LYS A  48      18.791  24.221  20.313  1.00 20.04           C\nATOM    376  NZ  LYS A  48      17.440  24.655  20.827  1.00 23.92           N\nATOM    377  N   GLN A  49      23.880  26.727  23.851  1.00  8.89           N\nATOM    378  CA  GLN A  49      25.349  26.872  23.643  1.00  7.18           C\nATOM    379  C   GLN A  49      25.743  25.586  22.922  1.00  8.23           C\nATOM    380  O   GLN A  49      25.325  24.489  23.378  1.00  9.70           O\nATOM    381  CB  GLN A  49      26.070  27.025  24.960  1.00 11.67           C\nATOM    382  CG  GLN A  49      27.553  27.356  24.695  1.00 15.82           C\nATOM    383  CD  GLN A  49      28.262  27.576  26.020  1.00 20.21           C\nATOM    384  OE1 GLN A  49      29.189  26.840  26.335  1.00 23.23           O\nATOM    385  NE2 GLN A  49      27.777  28.585  26.739  1.00 20.67           N\nATOM    386  N   LEU A  50      26.465  25.689  21.833  1.00  6.51           N\nATOM    387  CA  LEU A  50      26.826  24.521  21.012  1.00  7.41           C\nATOM    388  C   LEU A  50      27.994  23.781  21.643  1.00  8.27           C\nATOM    389  O   LEU A  50      28.904  24.444  22.098  1.00  8.34           O\nATOM    390  CB  LEU A  50      27.043  24.992  19.571  1.00  7.13           C\nATOM    391  CG  LEU A  50      25.931  25.844  18.959  1.00  7.53           C\nATOM    392  CD1 LEU A  50      26.203  26.083  17.471  1.00  8.14           C\nATOM    393  CD2 LEU A  50      24.577  25.190  19.079  1.00  9.11           C\nATOM    394  N   GLU A  51      27.942  22.448  21.648  1.00  9.43           N\nATOM    395  CA  GLU A  51      29.015  21.657  22.288  1.00 11.90           C\nATOM    396  C   GLU A  51      29.942  21.106  21.240  1.00 11.49           C\nATOM    397  O   GLU A  51      29.470  20.677  20.190  1.00  9.88           O\nATOM    398  CB  GLU A  51      28.348  20.540  23.066  1.00 16.56           C\nATOM    399  CG  GLU A  51      29.247  19.456  23.705  1.00 26.06           C\nATOM    400  CD  GLU A  51      28.722  19.047  25.066  1.00 29.86           C\nATOM    401  OE1 GLU A  51      29.139  18.132  25.746  1.00 32.13           O\nATOM    402  OE2 GLU A  51      27.777  19.842  25.367  1.00 33.44           O\nATOM    403  N   ASP A  52      31.233  21.090  21.459  1.00 12.71           N\nATOM    404  CA  ASP A  52      32.262  20.670  20.514  1.00 16.56           C\nATOM    405  C   ASP A  52      32.128  19.364  19.750  1.00 15.83           C\nATOM    406  O   ASP A  52      32.546  19.317  18.558  1.00 17.21           O\nATOM    407  CB  ASP A  52      33.638  20.716  21.242  1.00 21.05           C\nATOM    408  CG  ASP A  52      34.174  22.129  21.354  1.00 25.12           C\nATOM    409  OD1 ASP A  52      35.252  22.322  21.958  1.00 28.37           O\nATOM    410  OD2 ASP A  52      33.544  23.086  20.883  1.00 25.82           O\nATOM    411  N   GLY A  53      31.697  18.311  20.406  1.00 15.00           N\nATOM    412  CA  GLY A  53      31.568  16.962  19.825  1.00 11.77           C\nATOM    413  C   GLY A  53      30.320  16.698  19.051  1.00 11.10           C\nATOM    414  O   GLY A  53      30.198  15.657  18.366  1.00 11.25           O\nATOM    415  N   ARG A  54      29.340  17.594  19.076  1.00  8.53           N\nATOM    416  CA  ARG A  54      28.108  17.439  18.276  1.00  9.05           C\nATOM    417  C   ARG A  54      28.375  17.999  16.887  1.00  8.96           C\nATOM    418  O   ARG A  54      29.326  18.786  16.690  1.00 11.60           O\nATOM    419  CB  ARG A  54      26.926  18.191  18.892  1.00  7.97           C\nATOM    420  CG  ARG A  54      26.621  17.799  20.352  1.00  9.62           C\nATOM    421  CD  ARG A  54      26.010  16.370  20.280  1.00 12.20           C\nATOM    422  NE  ARG A  54      26.975  15.521  20.942  1.00 18.23           N\nATOM    423  CZ  ARG A  54      27.603  14.423  20.655  1.00 22.08           C\nATOM    424  NH1 ARG A  54      27.479  13.733  19.537  1.00 23.38           N\nATOM    425  NH2 ARG A  54      28.519  13.967  21.550  1.00 25.50           N\nATOM    426  N   THR A  55      27.510  17.689  15.954  1.00  9.05           N\nATOM    427  CA  THR A  55      27.574  18.192  14.563  1.00  9.03           C\nATOM    428  C   THR A  55      26.482  19.280  14.432  1.00  8.15           C\nATOM    429  O   THR A  55      25.609  19.388  15.287  1.00  5.91           O\nATOM    430  CB  THR A  55      27.299  17.055  13.533  1.00 11.15           C\nATOM    431  OG1 THR A  55      25.925  16.611  13.913  1.00 11.95           O\nATOM    432  CG2 THR A  55      28.236  15.864  13.558  1.00 11.71           C\nATOM    433  N   LEU A  56      26.585  20.063  13.378  1.00  6.91           N\nATOM    434  CA  LEU A  56      25.594  21.109  13.072  1.00  8.29           C\nATOM    435  C   LEU A  56      24.241  20.436  12.857  1.00  8.05           C\nATOM    436  O   LEU A  56      23.264  20.951  13.329  1.00 10.17           O\nATOM    437  CB  LEU A  56      26.084  21.888  11.833  1.00  6.60           C\nATOM    438  CG  LEU A  56      27.426  22.616  11.902  1.00  7.73           C\nATOM    439  CD1 LEU A  56      27.718  23.341  10.578  1.00  9.85           C\nATOM    440  CD2 LEU A  56      27.380  23.721  12.955  1.00  8.64           C\nATOM    441  N   SER A  57      24.240  19.233  12.246  1.00  8.92           N\nATOM    442  CA  SER A  57      22.924  18.583  12.025  1.00  9.00           C\nATOM    443  C   SER A  57      22.229  18.244  13.325  1.00  9.44           C\nATOM    444  O   SER A  57      20.963  18.253  13.395  1.00 10.91           O\nATOM    445  CB  SER A  57      23.059  17.326  11.154  1.00 10.32           C\nATOM    446  OG  SER A  57      23.914  16.395  11.755  1.00 13.59           O\nATOM    447  N   ASP A  58      22.997  17.978  14.366  1.00  9.11           N\nATOM    448  CA  ASP A  58      22.418  17.638  15.693  1.00  7.91           C\nATOM    449  C   ASP A  58      21.460  18.737  16.163  1.00  9.12           C\nATOM    450  O   ASP A  58      20.497  18.506  16.900  1.00  8.61           O\nATOM    451  CB  ASP A  58      23.461  17.331  16.741  1.00  8.41           C\nATOM    452  CG  ASP A  58      24.184  16.016  16.619  1.00 11.50           C\nATOM    453  OD1 ASP A  58      25.303  15.894  17.152  1.00 10.05           O\nATOM    454  OD2 ASP A  58      23.572  15.107  15.975  1.00 11.70           O\nATOM    455  N   TYR A  59      21.846  19.954  15.905  1.00  7.97           N\nATOM    456  CA  TYR A  59      21.079  21.149  16.251  1.00  8.45           C\nATOM    457  C   TYR A  59      20.142  21.590  15.149  1.00 10.98           C\nATOM    458  O   TYR A  59      19.499  22.645  15.321  1.00 12.95           O\nATOM    459  CB  TYR A  59      22.085  22.254  16.581  1.00  7.94           C\nATOM    460  CG  TYR A  59      22.945  21.951  17.785  1.00  6.91           C\nATOM    461  CD1 TYR A  59      24.272  21.544  17.644  1.00  4.59           C\nATOM    462  CD2 TYR A  59      22.437  22.157  19.065  1.00  6.98           C\nATOM    463  CE1 TYR A  59      25.052  21.285  18.776  1.00  5.39           C\nATOM    464  CE2 TYR A  59      23.204  21.907  20.192  1.00  6.52           C\nATOM    465  CZ  TYR A  59      24.517  21.470  20.030  1.00  6.76           C\nATOM    466  OH  TYR A  59      25.248  21.302  21.191  1.00  7.63           O\nATOM    467  N   ASN A  60      19.993  20.884  14.049  1.00 12.38           N\nATOM    468  CA  ASN A  60      19.065  21.352  12.999  1.00 13.94           C\nATOM    469  C   ASN A  60      19.442  22.745  12.510  1.00 14.16           C\nATOM    470  O   ASN A  60      18.571  23.610  12.289  1.00 14.26           O\nATOM    471  CB  ASN A  60      17.586  21.282  13.461  1.00 19.23           C\nATOM    472  CG  ASN A  60      16.576  21.258  12.315  1.00 22.65           C\nATOM    473  OD1 ASN A  60      15.440  21.819  12.378  1.00 25.45           O\nATOM    474  ND2 ASN A  60      16.924  20.586  11.216  1.00 24.09           N\nATOM    475  N   ILE A  61      20.717  22.964  12.260  1.00 11.08           N\nATOM    476  CA  ILE A  61      21.184  24.263  11.690  1.00 11.78           C\nATOM    477  C   ILE A  61      21.110  24.111  10.173  1.00 13.74           C\nATOM    478  O   ILE A  61      21.841  23.198   9.686  1.00 14.60           O\nATOM    479  CB  ILE A  61      22.650  24.516  12.172  1.00 11.80           C\nATOM    480  CG1 ILE A  61      22.662  24.819  13.699  1.00 11.56           C\nATOM    481  CG2 ILE A  61      23.376  25.645  11.409  1.00 13.29           C\nATOM    482  CD1 ILE A  61      24.123  24.981  14.195  1.00 11.42           C\nATOM    483  N   GLN A  62      20.291  24.875   9.507  1.00 13.97           N\nATOM    484  CA  GLN A  62      20.081  24.773   8.033  1.00 15.52           C\nATOM    485  C   GLN A  62      20.822  25.914   7.332  1.00 13.94           C\nATOM    486  O   GLN A  62      21.323  26.830   8.008  1.00 12.15           O\nATOM    487  CB  GLN A  62      18.599  24.736   7.727  1.00 19.53           C\nATOM    488  CG  GLN A  62      17.819  23.434   7.900  1.00 26.38           C\nATOM    489  CD  GLN A  62      16.509  23.529   7.116  1.00 30.61           C\nATOM    490  OE1 GLN A  62      15.446  22.980   7.433  1.00 33.23           O\nATOM    491  NE2 GLN A  62      16.539  24.293   6.009  1.00 32.71           N\nATOM    492  N   LYS A  63      20.924  25.862   6.006  1.00 11.73           N\nATOM    493  CA  LYS A  63      21.656  26.847   5.240  1.00 11.97           C\nATOM    494  C   LYS A  63      21.127  28.240   5.574  1.00 10.41           C\nATOM    495  O   LYS A  63      19.958  28.465   5.842  1.00  9.59           O\nATOM    496  CB  LYS A  63      21.631  26.642   3.731  1.00 13.73           C\nATOM    497  CG  LYS A  63      20.210  26.423   3.175  1.00 16.98           C\nATOM    498  CD  LYS A  63      20.268  26.589   1.656  1.00 20.19           C\nATOM    499  CE  LYS A  63      19.202  25.857   0.891  1.00 23.42           C\nATOM    500  NZ  LYS A  63      17.884  26.544   1.075  1.00 25.97           N\nATOM    501  N   GLU A  64      22.099  29.163   5.605  1.00 10.04           N\nATOM    502  CA  GLU A  64      21.907  30.563   5.881  1.00 10.94           C\nATOM    503  C   GLU A  64      21.466  30.953   7.261  1.00  9.74           C\nATOM    504  O   GLU A  64      21.066  32.112   7.533  1.00  9.42           O\nATOM    505  CB  GLU A  64      21.023  31.223   4.784  1.00 18.31           C\nATOM    506  CG  GLU A  64      21.861  31.342   3.474  1.00 24.16           C\nATOM    507  CD  GLU A  64      21.156  30.726   2.311  1.00 29.00           C\nATOM    508  OE1 GLU A  64      19.942  30.793   2.170  1.00 31.72           O\nATOM    509  OE2 GLU A  64      21.954  30.152   1.535  1.00 32.61           O\nATOM    510  N   SER A  65      21.674  30.034   8.191  1.00  6.85           N\nATOM    511  CA  SER A  65      21.419  30.253   9.620  1.00  6.90           C\nATOM    512  C   SER A  65      22.504  31.228  10.136  1.00  4.72           C\nATOM    513  O   SER A  65      23.579  31.321   9.554  1.00  3.91           O\nATOM    514  CB  SER A  65      21.637  28.923  10.353  1.00  7.28           C\nATOM    515  OG  SER A  65      20.544  28.047  10.059  1.00 10.56           O\nATOM    516  N   THR A  66      22.241  31.873  11.241  1.00  4.48           N\nATOM    517  CA  THR A  66      23.212  32.762  11.891  1.00  3.80           C\nATOM    518  C   THR A  66      23.509  32.224  13.290  1.00  4.60           C\nATOM    519  O   THR A  66      22.544  31.942  14.034  1.00  5.33           O\nATOM    520  CB  THR A  66      22.699  34.267  11.985  1.00  2.85           C\nATOM    521  OG1 THR A  66      22.495  34.690  10.589  1.00  2.15           O\nATOM    522  CG2 THR A  66      23.727  35.131  12.722  1.00  3.40           C\nATOM    523  N   LEU A  67      24.790  32.021  13.618  1.00  4.17           N\nATOM    524  CA  LEU A  67      25.149  31.609  14.980  1.00  3.85           C\nATOM    525  C   LEU A  67      25.698  32.876  15.669  1.00  3.80           C\nATOM    526  O   LEU A  67      26.158  33.730  14.894  1.00  5.54           O\nATOM    527  CB  LEU A  67      26.310  30.594  14.967  1.00  7.18           C\nATOM    528  CG  LEU A  67      26.290  29.480  13.960  1.00  9.67           C\nATOM    529  CD1 LEU A  67      27.393  28.442  14.229  1.00  8.12           C\nATOM    530  CD2 LEU A  67      24.942  28.807  13.952  1.00 11.66           C\nATOM    531  N   HIS A  68      25.621  32.945  16.950  1.00  2.94           N\nATOM    532  CA  HIS A  68      26.179  34.127  17.650  1.00  4.17           C\nATOM    533  C   HIS A  68      27.475  33.651  18.304  1.00  5.32           C\nATOM    534  O   HIS A  68      27.507  32.587  18.958  1.00  7.70           O\nATOM    535  CB  HIS A  68      25.214  34.565  18.780  1.00  5.57           C\nATOM    536  CG  HIS A  68      23.978  35.121  18.126  1.00  9.95           C\nATOM    537  ND1 HIS A  68      23.853  36.432  17.781  1.00 13.74           N\nATOM    538  CD2 HIS A  68      22.824  34.514  17.782  1.00 12.79           C\nATOM    539  CE1 HIS A  68      22.674  36.627  17.200  1.00 14.75           C\nATOM    540  NE2 HIS A  68      22.045  35.455  17.173  1.00 16.30           N\nATOM    541  N   LEU A  69      28.525  34.447  18.189  1.00  5.29           N\nATOM    542  CA  LEU A  69      29.801  34.145  18.829  1.00  3.97           C\nATOM    543  C   LEU A  69      30.052  35.042  20.004  1.00  5.07           C\nATOM    544  O   LEU A  69      30.105  36.305  19.788  1.00  4.34           O\nATOM    545  CB  LEU A  69      30.925  34.304  17.753  1.00  6.08           C\nATOM    546  CG  LEU A  69      32.345  34.183  18.358  1.00  7.37           C\nATOM    547  CD1 LEU A  69      32.555  32.783  18.870  1.00  6.87           C\nATOM    548  CD2 LEU A  69      33.361  34.491  17.245  1.00  9.96           C\nATOM    549  N   VAL A  70      30.124  34.533  21.191  1.00  4.29           N\nATOM    550  CA  VAL A  70      30.479  35.369  22.374  1.00  6.26           C\nATOM    551  C   VAL A  70      31.901  34.910  22.728  1.00  9.22           C\nATOM    552  O   VAL A  70      32.190  33.696  22.635  1.00  9.36           O\nATOM    553  CB  VAL A  70      29.472  35.181  23.498  1.00  8.69           C\nATOM    554  CG1 VAL A  70      29.821  35.957  24.765  1.00  9.76           C\nATOM    555  CG2 VAL A  70      28.049  35.454  23.071  1.00  8.54           C\nATOM    556  N   LEU A  71      32.763  35.831  23.090  1.00 12.71           N\nATOM    557  CA  LEU A  71      34.145  35.472  23.481  1.00 16.06           C\nATOM    558  C   LEU A  71      34.239  35.353  24.979  1.00 18.09           C\nATOM    559  O   LEU A  71      33.707  36.197  25.728  1.00 19.26           O\nATOM    560  CB  LEU A  71      35.114  36.564  22.907  1.00 17.10           C\nATOM    561  CG  LEU A  71      35.926  35.979  21.737  1.00 19.37           C\nATOM    562  CD1 LEU A  71      35.003  35.084  20.920  1.00 17.51           C\nATOM    563  CD2 LEU A  71      36.533  37.087  20.917  1.00 19.57           C\nATOM    564  N   ARG A  72      34.930  34.384  25.451  1.00 21.47           N\nATOM    565  CA  ARG A  72      35.161  34.174  26.896  1.00 25.83           C\nATOM    566  C   ARG A  72      36.671  34.296  27.089  1.00 27.74           C\nATOM    567  O   ARG A  72      37.305  33.233  26.795  1.00 30.65           O\nATOM    568  CB  ARG A  72      34.717  32.760  27.286  1.00 28.49           C\nATOM    569  CG  ARG A  72      35.752  32.054  28.160  1.00 31.79           C\nATOM    570  CD  ARG A  72      35.612  30.577  28.044  1.00 34.05           C\nATOM    571  NE  ARG A  72      35.040  30.252  26.730  1.00 35.08           N\nATOM    572  CZ  ARG A  72      34.338  29.103  26.650  1.00 34.67           C\nATOM    573  NH1 ARG A  72      34.110  28.437  27.768  1.00 35.02           N\nATOM    574  NH2 ARG A  72      34.014  28.657  25.457  1.00 34.97           N\nATOM    575  N   LEU A  73      37.197  35.397  27.513  0.45 28.93           N\nATOM    576  CA  LEU A  73      38.668  35.502  27.680  0.45 30.76           C\nATOM    577  C   LEU A  73      39.076  34.931  29.031  0.45 32.18           C\nATOM    578  O   LEU A  73      38.297  34.946  29.996  0.45 32.31           O\nATOM    579  CB  LEU A  73      39.080  36.941  27.406  0.45 30.53           C\nATOM    580  CG  LEU A  73      39.502  37.340  26.002  0.45 30.16           C\nATOM    581  CD1 LEU A  73      38.684  36.647  24.923  0.45 29.57           C\nATOM    582  CD2 LEU A  73      39.337  38.854  25.862  0.45 29.11           C\nATOM    583  N   ARG A  74      40.294  34.412  29.045  0.45 33.82           N\nATOM    584  CA  ARG A  74      40.873  33.802  30.253  0.45 35.33           C\nATOM    585  C   ARG A  74      41.765  34.829  30.944  0.45 36.22           C\nATOM    586  O   ARG A  74      42.945  34.994  30.583  0.45 36.70           O\nATOM    587  CB  ARG A  74      41.651  32.529  29.923  0.45 36.91           C\nATOM    588  CG  ARG A  74      41.608  31.444  30.989  0.45 38.62           C\nATOM    589  CD  ARG A  74      41.896  30.080  30.456  0.45 39.75           C\nATOM    590  NE  ARG A  74      43.311  29.735  30.563  0.45 41.13           N\nATOM    591  CZ  ARG A  74      44.174  29.905  29.554  0.45 41.91           C\nATOM    592  NH1 ARG A  74      43.754  30.312  28.356  0.45 42.75           N\nATOM    593  NH2 ARG A  74      45.477  29.726  29.763  0.45 41.93           N\nATOM    594  N   GLY A  75      41.165  35.531  31.898  0.25 36.31           N\nATOM    595  CA  GLY A  75      41.845  36.550  32.686  0.25 36.07           C\nATOM    596  C   GLY A  75      41.251  37.941  32.588  0.25 36.16           C\nATOM    597  O   GLY A  75      41.102  38.523  31.500  0.25 36.26           O\nATOM    598  N   GLY A  76      40.946  38.472  33.757  0.25 36.05           N\nATOM    599  CA  GLY A  76      40.373  39.813  33.944  0.25 36.19           C\nATOM    600  C   GLY A  76      40.031  39.992  35.432  0.25 36.20           C\nATOM    601  O   GLY A  76      38.933  40.525  35.687  0.25 36.13           O\nATOM    602  OXT GLY A  76      40.862  39.575  36.251  0.25 36.27           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.007",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.800",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.929",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.962",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FRET-6LYZ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 6LYZ (hen egg-white lysozyme; probes at the two chain termini), copied unchanged. Model a FRET donor as a point at atom CA of Lys1 and an acceptor as a point at atom CA of Leu129. Assume a Förster radius R0 = 2.20 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟短程探针对（R0=2.2 nm）标记在 N、C 端残基 CA；不代表真实染料。",
   "inputs": [
    {
     "name": "6LYZ-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   LYS A   1       3.287  10.092  10.329  1.00  5.89           N\nATOM      2  CA  LYS A   1       2.445  10.457   9.182  1.00  8.16           C\nATOM      3  C   LYS A   1       2.500  11.978   9.038  1.00  8.04           C\nATOM      4  O   LYS A   1       2.588  12.719  10.041  1.00  7.07           O\nATOM      5  CB  LYS A   1       1.006   9.995   9.385  1.00  3.88           C\nATOM      6  CG  LYS A   1       0.016  10.546   8.377  1.00  3.81           C\nATOM      7  CD  LYS A   1      -1.404  10.093   8.699  1.00  2.91           C\nATOM      8  CE  LYS A   1      -2.269  10.030   7.451  1.00  3.97           C\nATOM      9  NZ  LYS A   1      -3.559   9.362   7.735  1.00  2.08           N\nATOM     10  N   VAL A   2       2.441  12.404   7.789  1.00  8.75           N\nATOM     11  CA  VAL A   2       2.396  13.826   7.425  1.00  9.16           C\nATOM     12  C   VAL A   2       1.003  14.071   6.846  1.00  6.43           C\nATOM     13  O   VAL A   2       0.719  13.722   5.679  1.00  4.91           O\nATOM     14  CB  VAL A   2       3.509  14.142   6.435  1.00  7.06           C\nATOM     15  CG1 VAL A   2       3.490  15.586   5.874  1.00  6.53           C\nATOM     16  CG2 VAL A   2       4.864  13.746   6.959  1.00  6.53           C\nATOM     17  N   PHE A   3       0.170  14.674   7.679  1.00  4.25           N\nATOM     18  CA  PHE A   3      -1.200  15.052   7.311  1.00  7.49           C\nATOM     19  C   PHE A   3      -1.320  16.157   6.264  1.00  9.11           C\nATOM     20  O   PHE A   3      -0.422  17.016   6.128  1.00  9.90           O\nATOM     21  CB  PHE A   3      -1.944  15.502   8.553  1.00  6.65           C\nATOM     22  CG  PHE A   3      -2.576  14.509   9.484  1.00  6.92           C\nATOM     23  CD1 PHE A   3      -3.879  14.182   9.312  1.00  5.76           C\nATOM     24  CD2 PHE A   3      -1.854  13.862  10.454  1.00  5.12           C\nATOM     25  CE1 PHE A   3      -4.533  13.235  10.153  1.00  6.10           C\nATOM     26  CE2 PHE A   3      -2.511  12.876  11.267  1.00  7.79           C\nATOM     27  CZ  PHE A   3      -3.823  12.611  11.125  1.00  6.20           C\nATOM     28  N   GLY A   4      -2.434  16.109   5.552  1.00  6.26           N\nATOM     29  CA  GLY A   4      -2.797  17.128   4.559  1.00  3.25           C\nATOM     30  C   GLY A   4      -3.512  18.199   5.385  1.00  8.37           C\nATOM     31  O   GLY A   4      -4.153  17.897   6.414  1.00  7.03           O\nATOM     32  N   ARG A   5      -3.384  19.426   4.904  1.00  5.92           N\nATOM     33  CA  ARG A   5      -3.979  20.606   5.546  1.00  9.92           C\nATOM     34  C   ARG A   5      -5.429  20.277   5.903  1.00  6.90           C\nATOM     35  O   ARG A   5      -5.819  20.286   7.091  1.00  6.48           O\nATOM     36  CB  ARG A   5      -3.936  21.832   4.613  1.00  5.72           C\nATOM     37  CG  ARG A   5      -4.776  23.030   5.096  1.00  5.85           C\nATOM     38  CD  ARG A   5      -4.600  24.202   4.151  1.00  4.80           C\nATOM     39  NE  ARG A   5      -5.720  24.288   3.199  1.00  7.54           N\nATOM     40  CZ  ARG A   5      -6.899  24.879   3.491  1.00  2.10           C\nATOM     41  NH1 ARG A   5      -7.401  24.838   4.733  1.00  4.85           N\nATOM     42  NH2 ARG A   5      -7.553  25.508   2.531  1.00  4.85           N\nATOM     43  N   CYS A   6      -6.190  19.989   4.859  1.00  4.10           N\nATOM     44  CA  CYS A   6      -7.588  19.557   4.979  1.00  7.38           C\nATOM     45  C   CYS A   6      -7.979  18.286   5.734  1.00  7.85           C\nATOM     46  O   CYS A   6      -9.009  18.248   6.442  1.00  3.09           O\nATOM     47  CB  CYS A   6      -8.281  19.722   3.493  1.00  8.09           C\nATOM     48  SG  CYS A   6      -9.062  21.202   2.777  1.00  9.87           S\nATOM     49  N   GLU A   7      -7.139  17.278   5.565  1.00  8.51           N\nATOM     50  CA  GLU A   7      -7.298  15.981   6.233  1.00  8.02           C\nATOM     51  C   GLU A   7      -7.220  16.067   7.758  1.00  8.57           C\nATOM     52  O   GLU A   7      -8.010  15.426   8.481  1.00  3.39           O\nATOM     53  CB  GLU A   7      -6.197  14.974   5.798  1.00  6.73           C\nATOM     54  CG  GLU A   7      -6.331  13.531   6.327  1.00  5.42           C\nATOM     55  CD  GLU A   7      -5.109  12.590   6.005  1.00  3.74           C\nATOM     56  OE1 GLU A   7      -4.252  13.263   5.433  1.00  5.01           O\nATOM     57  OE2 GLU A   7      -5.112  11.432   6.299  1.00  5.01           O\nATOM     58  N   LEU A   8      -6.267  16.871   8.205  1.00  8.39           N\nATOM     59  CA  LEU A   8      -6.065  17.161   9.628  1.00  9.11           C\nATOM     60  C   LEU A   8      -7.166  18.027  10.242  1.00 11.92           C\nATOM     61  O   LEU A   8      -7.585  17.812  11.399  1.00  7.92           O\nATOM     62  CB  LEU A   8      -4.721  17.886   9.834  1.00  8.41           C\nATOM     63  CG  LEU A   8      -4.366  18.337  11.235  1.00  5.23           C\nATOM     64  CD1 LEU A   8      -4.134  17.129  12.110  1.00  4.96           C\nATOM     65  CD2 LEU A   8      -3.132  19.205  11.216  1.00  4.96           C\nATOM     66  N   ALA A   9      -7.610  18.984   9.442  1.00  8.16           N\nATOM     67  CA  ALA A   9      -8.681  19.915   9.821  1.00  6.94           C\nATOM     68  C   ALA A   9      -9.827  18.969  10.168  1.00  7.38           C\nATOM     69  O   ALA A   9     -10.361  18.990  11.298  1.00  5.52           O\nATOM     70  CB  ALA A   9      -9.164  20.763   8.633  1.00  5.53           C\nATOM     71  N   ALA A  10     -10.175  18.158   9.181  1.00  7.04           N\nATOM     72  CA  ALA A  10     -11.227  17.143   9.311  1.00  7.96           C\nATOM     73  C   ALA A  10     -11.176  16.305  10.589  1.00  7.35           C\nATOM     74  O   ALA A  10     -12.198  16.134  11.289  1.00  4.77           O\nATOM     75  CB  ALA A  10     -11.035  16.160   8.147  1.00  3.87           C\nATOM     76  N   ALA A  11      -9.980  15.811  10.862  1.00 11.08           N\nATOM     77  CA  ALA A  11      -9.710  14.962  12.030  1.00 12.72           C\nATOM     78  C   ALA A  11      -9.785  15.588  13.423  1.00  5.13           C\nATOM     79  O   ALA A  11     -10.251  14.950  14.392  1.00  7.19           O\nATOM     80  CB  ALA A  11      -8.262  14.485  11.851  1.00  7.11           C\nATOM     81  N   MET A  12      -9.329  16.826  13.485  1.00  8.97           N\nATOM     82  CA  MET A  12      -9.312  17.616  14.723  1.00  9.03           C\nATOM     83  C   MET A  12     -10.756  17.953  15.082  1.00  7.30           C\nATOM     84  O   MET A  12     -11.133  17.990  16.273  1.00  5.40           O\nATOM     85  CB  MET A  12      -8.477  18.904  14.518  1.00  9.07           C\nATOM     86  CG  MET A  12      -6.997  18.590  14.466  1.00  6.16           C\nATOM     87  SD  MET A  12      -6.008  20.077  14.384  1.00 13.34           S\nATOM     88  CE  MET A  12      -6.223  20.649  16.046  1.00  2.48           C\nATOM     89  N   LYS A  13     -11.532  18.187  14.036  1.00  7.03           N\nATOM     90  CA  LYS A  13     -12.968  18.474  14.148  1.00  5.87           C\nATOM     91  C   LYS A  13     -13.675  17.265  14.762  1.00  7.75           C\nATOM     92  O   LYS A  13     -14.398  17.386  15.774  1.00 11.40           O\nATOM     93  CB  LYS A  13     -13.578  18.782  12.785  1.00  9.06           C\nATOM     94  CG  LYS A  13     -14.585  19.917  12.784  1.00  1.97           C\nATOM     95  CD  LYS A  13     -15.649  19.703  11.711  1.00  4.38           C\nATOM     96  CE  LYS A  13     -16.990  20.284  12.131  1.00  7.61           C\nATOM     97  NZ  LYS A  13     -18.063  19.857  11.205  1.00  3.21           N\nATOM     98  N   ARG A  14     -13.442  16.126  14.130  1.00  4.70           N\nATOM     99  CA  ARG A  14     -14.069  14.856  14.511  1.00  5.29           C\nATOM    100  C   ARG A  14     -13.738  14.623  15.986  1.00  3.62           C\nATOM    101  O   ARG A  14     -14.578  14.120  16.763  1.00  6.44           O\nATOM    102  CB  ARG A  14     -13.543  13.693  13.646  1.00  4.14           C\nATOM    103  CG  ARG A  14     -14.603  12.632  13.292  1.00  2.51           C\nATOM    104  CD  ARG A  14     -14.529  11.475  14.269  1.00  6.09           C\nATOM    105  NE  ARG A  14     -13.260  10.743  14.128  1.00  2.95           N\nATOM    106  CZ  ARG A  14     -12.936   9.668  14.879  1.00  5.57           C\nATOM    107  NH1 ARG A  14     -13.592   9.402  16.018  1.00  4.03           N\nATOM    108  NH2 ARG A  14     -11.963   8.873  14.472  1.00  4.03           N\nATOM    109  N   HIS A  15     -12.517  15.001  16.333  1.00  6.42           N\nATOM    110  CA  HIS A  15     -12.027  14.963  17.717  1.00  5.25           C\nATOM    111  C   HIS A  15     -12.439  16.053  18.704  1.00  7.84           C\nATOM    112  O   HIS A  15     -11.863  16.176  19.807  1.00  3.93           O\nATOM    113  CB  HIS A  15     -10.500  14.983  17.698  1.00  5.38           C\nATOM    114  CG  HIS A  15     -10.099  13.531  17.614  1.00  6.73           C\nATOM    115  ND1 HIS A  15      -9.925  12.883  16.401  1.00  5.16           N\nATOM    116  CD2 HIS A  15      -9.867  12.602  18.576  1.00  6.16           C\nATOM    117  CE1 HIS A  15      -9.607  11.625  16.639  1.00  4.83           C\nATOM    118  NE2 HIS A  15      -9.545  11.445  17.939  1.00  5.50           N\nATOM    119  N   GLY A  16     -13.435  16.816  18.281  1.00  7.58           N\nATOM    120  CA  GLY A  16     -14.018  17.896  19.087  1.00  2.07           C\nATOM    121  C   GLY A  16     -13.264  19.180  19.436  1.00  5.74           C\nATOM    122  O   GLY A  16     -13.628  19.904  20.388  1.00  5.97           O\nATOM    123  N   LEU A  17     -12.229  19.430  18.649  1.00  8.86           N\nATOM    124  CA  LEU A  17     -11.404  20.640  18.766  1.00  7.33           C\nATOM    125  C   LEU A  17     -11.808  21.993  18.180  1.00  8.84           C\nATOM    126  O   LEU A  17     -11.257  23.050  18.558  1.00  7.07           O\nATOM    127  CB  LEU A  17     -10.022  20.399  18.129  1.00  6.46           C\nATOM    128  CG  LEU A  17      -8.921  19.855  19.012  1.00  8.47           C\nATOM    129  CD1 LEU A  17      -7.645  19.743  18.212  1.00  4.23           C\nATOM    130  CD2 LEU A  17      -8.705  20.753  20.205  1.00  4.23           C\nATOM    131  N   ASP A  18     -12.769  21.924  17.272  1.00  8.88           N\nATOM    132  CA  ASP A  18     -13.365  23.109  16.641  1.00  5.31           C\nATOM    133  C   ASP A  18     -14.011  23.782  17.854  1.00  8.68           C\nATOM    134  O   ASP A  18     -14.854  23.178  18.553  1.00  5.17           O\nATOM    135  CB  ASP A  18     -14.345  22.666  15.532  1.00  5.62           C\nATOM    136  CG  ASP A  18     -14.876  23.849  14.764  1.00  3.49           C\nATOM    137  OD1 ASP A  18     -14.236  24.851  14.498  1.00  2.14           O\nATOM    138  OD2 ASP A  18     -15.998  23.736  14.352  1.00  2.14           O\nATOM    139  N   ASN A  19     -13.599  25.023  18.067  1.00  2.91           N\nATOM    140  CA  ASN A  19     -14.080  25.848  19.183  1.00  5.63           C\nATOM    141  C   ASN A  19     -13.907  25.450  20.649  1.00 10.55           C\nATOM    142  O   ASN A  19     -14.552  26.022  21.553  1.00  3.45           O\nATOM    143  CB  ASN A  19     -15.602  26.068  19.046  1.00  4.15           C\nATOM    144  CG  ASN A  19     -15.929  26.923  17.849  1.00  3.82           C\nATOM    145  OD1 ASN A  19     -15.310  28.166  17.816  1.00  2.46           O\nATOM    146  ND2 ASN A  19     -16.720  26.622  16.972  1.00  2.46           N\nATOM    147  N   TYR A  20     -13.032  24.476  20.845  1.00  8.02           N\nATOM    148  CA  TYR A  20     -12.724  23.927  22.172  1.00  4.63           C\nATOM    149  C   TYR A  20     -12.155  25.198  22.804  1.00 10.40           C\nATOM    150  O   TYR A  20     -11.274  25.868  22.223  1.00  5.12           O\nATOM    151  CB  TYR A  20     -11.765  22.735  22.006  1.00  6.49           C\nATOM    152  CG  TYR A  20     -11.572  22.207  23.435  1.00  7.81           C\nATOM    153  CD1 TYR A  20     -12.603  21.432  23.998  1.00  3.62           C\nATOM    154  CD2 TYR A  20     -10.471  22.536  24.179  1.00  5.41           C\nATOM    155  CE1 TYR A  20     -12.436  20.936  25.358  1.00  4.65           C\nATOM    156  CE2 TYR A  20     -10.298  22.057  25.513  1.00  3.82           C\nATOM    157  CZ  TYR A  20     -11.337  21.291  26.058  1.00  3.62           C\nATOM    158  OH  TYR A  20     -11.189  20.843  27.354  1.00  7.77           O\nATOM    159  N   ARG A  21     -12.673  25.493  23.987  1.00  8.37           N\nATOM    160  CA  ARG A  21     -12.261  26.661  24.776  1.00  5.84           C\nATOM    161  C   ARG A  21     -12.277  28.006  24.048  1.00  6.47           C\nATOM    162  O   ARG A  21     -11.682  29.000  24.518  1.00  8.33           O\nATOM    163  CB  ARG A  21     -10.823  26.497  25.309  1.00  4.73           C\nATOM    164  CG  ARG A  21     -10.717  25.690  26.617  1.00  5.83           C\nATOM    165  CD  ARG A  21     -11.771  26.155  27.602  1.00  4.50           C\nATOM    166  NE  ARG A  21     -11.453  25.706  28.967  1.00  2.41           N\nATOM    167  CZ  ARG A  21     -10.858  26.496  29.888  1.00  4.49           C\nATOM    168  NH1 ARG A  21     -10.400  27.712  29.558  1.00  3.53           N\nATOM    169  NH2 ARG A  21     -10.740  26.055  31.127  1.00  3.53           N\nATOM    170  N   GLY A  22     -12.965  28.001  22.918  1.00  8.36           N\nATOM    171  CA  GLY A  22     -13.140  29.194  22.079  1.00  6.98           C\nATOM    172  C   GLY A  22     -12.179  29.513  20.934  1.00  7.65           C\nATOM    173  O   GLY A  22     -12.180  30.635  20.384  1.00  6.83           O\nATOM    174  N   TYR A  23     -11.383  28.508  20.602  1.00  5.84           N\nATOM    175  CA  TYR A  23     -10.435  28.571  19.482  1.00  8.42           C\nATOM    176  C   TYR A  23     -11.080  27.843  18.302  1.00  8.79           C\nATOM    177  O   TYR A  23     -11.314  26.616  18.351  1.00  8.21           O\nATOM    178  CB  TYR A  23      -9.108  27.933  19.921  1.00  6.57           C\nATOM    179  CG  TYR A  23      -8.475  28.799  21.020  1.00  8.04           C\nATOM    180  CD1 TYR A  23      -7.776  29.955  20.628  1.00  5.75           C\nATOM    181  CD2 TYR A  23      -8.515  28.428  22.336  1.00  6.17           C\nATOM    182  CE1 TYR A  23      -7.162  30.779  21.662  1.00  7.27           C\nATOM    183  CE2 TYR A  23      -7.915  29.227  23.357  1.00  7.04           C\nATOM    184  CZ  TYR A  23      -7.220  30.373  22.948  1.00  6.19           C\nATOM    185  OH  TYR A  23      -6.617  31.138  23.924  1.00  8.33           O\nATOM    186  N   SER A  24     -11.345  28.624  17.266  1.00  6.79           N\nATOM    187  CA  SER A  24     -11.779  28.107  15.961  1.00  6.76           C\nATOM    188  C   SER A  24     -10.834  27.005  15.482  1.00  7.90           C\nATOM    189  O   SER A  24      -9.632  26.991  15.825  1.00  4.41           O\nATOM    190  CB  SER A  24     -11.808  29.220  14.937  1.00  6.05           C\nATOM    191  OG  SER A  24     -10.798  29.060  13.944  1.00  6.36           O\nATOM    192  N   LEU A  25     -11.406  26.110  14.692  1.00  9.58           N\nATOM    193  CA  LEU A  25     -10.673  24.992  14.084  1.00  5.23           C\nATOM    194  C   LEU A  25      -9.360  25.444  13.450  1.00  8.56           C\nATOM    195  O   LEU A  25      -8.315  24.771  13.585  1.00  5.58           O\nATOM    196  CB  LEU A  25     -11.540  24.319  13.002  1.00  7.09           C\nATOM    197  CG  LEU A  25     -11.381  22.827  12.790  1.00  8.08           C\nATOM    198  CD1 LEU A  25     -12.160  22.405  11.567  1.00  5.22           C\nATOM    199  CD2 LEU A  25      -9.924  22.468  12.620  1.00  5.22           C\nATOM    200  N   GLY A  26      -9.445  26.582  12.775  1.00  6.38           N\nATOM    201  CA  GLY A  26      -8.312  27.181  12.063  1.00 10.46           C\nATOM    202  C   GLY A  26      -7.108  27.500  12.950  1.00  4.01           C\nATOM    203  O   GLY A  26      -5.941  27.389  12.517  1.00  8.48           O\nATOM    204  N   ASN A  27      -7.428  27.884  14.175  1.00 10.78           N\nATOM    205  CA  ASN A  27      -6.430  28.273  15.179  1.00  6.39           C\nATOM    206  C   ASN A  27      -5.537  27.059  15.431  1.00  7.81           C\nATOM    207  O   ASN A  27      -4.313  27.191  15.646  1.00  7.14           O\nATOM    208  CB  ASN A  27      -7.147  28.740  16.462  1.00  6.98           C\nATOM    209  CG  ASN A  27      -7.357  30.231  16.463  1.00  7.45           C\nATOM    210  OD1 ASN A  27      -6.209  30.997  16.609  1.00  7.95           O\nATOM    211  ND2 ASN A  27      -8.442  30.780  16.404  1.00  7.95           N\nATOM    212  N   TRP A  28      -6.177  25.902  15.390  1.00 10.07           N\nATOM    213  CA  TRP A  28      -5.505  24.609  15.559  1.00  9.13           C\nATOM    214  C   TRP A  28      -4.665  23.983  14.446  1.00  8.18           C\nATOM    215  O   TRP A  28      -3.612  23.361  14.704  1.00  8.37           O\nATOM    216  CB  TRP A  28      -6.554  23.555  15.908  1.00  7.06           C\nATOM    217  CG  TRP A  28      -7.269  23.840  17.280  1.00  6.17           C\nATOM    218  CD1 TRP A  28      -8.523  24.250  17.513  1.00  5.80           C\nATOM    219  CD2 TRP A  28      -6.706  23.650  18.543  1.00  5.29           C\nATOM    220  NE1 TRP A  28      -8.732  24.396  18.940  1.00  8.43           N\nATOM    221  CE2 TRP A  28      -7.674  23.999  19.529  1.00  6.79           C\nATOM    222  CE3 TRP A  28      -5.464  23.219  18.944  1.00  8.14           C\nATOM    223  CZ2 TRP A  28      -7.476  23.935  20.910  1.00  6.38           C\nATOM    224  CZ3 TRP A  28      -5.270  23.172  20.340  1.00  5.52           C\nATOM    225  CH2 TRP A  28      -6.247  23.476  21.275  1.00  3.75           C\nATOM    226  N   VAL A  29      -5.154  24.171  13.232  1.00 10.45           N\nATOM    227  CA  VAL A  29      -4.492  23.682  12.017  1.00  5.01           C\nATOM    228  C   VAL A  29      -3.253  24.561  11.843  1.00  8.46           C\nATOM    229  O   VAL A  29      -2.171  24.079  11.444  1.00  9.72           O\nATOM    230  CB  VAL A  29      -5.451  23.767  10.838  1.00  6.83           C\nATOM    231  CG1 VAL A  29      -4.805  23.514   9.455  1.00  7.13           C\nATOM    232  CG2 VAL A  29      -6.688  22.937  11.054  1.00  7.13           C\nATOM    233  N   CYS A  30      -3.446  25.833  12.153  1.00  8.74           N\nATOM    234  CA  CYS A  30      -2.402  26.857  12.026  1.00  5.64           C\nATOM    235  C   CYS A  30      -1.220  26.541  12.944  1.00  6.38           C\nATOM    236  O   CYS A  30      -0.052  26.500  12.500  1.00  9.03           O\nATOM    237  CB  CYS A  30      -2.789  28.170  12.105  1.00  6.76           C\nATOM    238  SG  CYS A  30      -1.561  29.508  11.989  1.00 19.88           S\nATOM    239  N   ALA A  31      -1.560  26.319  14.203  1.00  8.62           N\nATOM    240  CA  ALA A  31      -0.578  26.085  15.269  1.00  5.98           C\nATOM    241  C   ALA A  31       0.250  24.868  14.857  1.00  5.35           C\nATOM    242  O   ALA A  31       1.495  24.865  14.970  1.00  7.60           O\nATOM    243  CB  ALA A  31      -1.290  25.699  16.574  1.00  8.35           C\nATOM    244  N   ALA A  32      -0.468  23.864  14.383  1.00 11.37           N\nATOM    245  CA  ALA A  32       0.120  22.587  13.962  1.00  6.17           C\nATOM    246  C   ALA A  32       1.052  22.617  12.751  1.00  8.44           C\nATOM    247  O   ALA A  32       2.038  21.851  12.676  1.00  5.84           O\nATOM    248  CB  ALA A  32      -1.064  21.690  13.572  1.00  4.22           C\nATOM    249  N   LYS A  33       0.716  23.508  11.834  1.00 10.59           N\nATOM    250  CA  LYS A  33       1.476  23.709  10.595  1.00  6.52           C\nATOM    251  C   LYS A  33       2.877  24.208  10.953  1.00  8.23           C\nATOM    252  O   LYS A  33       3.895  23.565  10.619  1.00  6.23           O\nATOM    253  CB  LYS A  33       0.788  24.719   9.685  1.00  5.00           C\nATOM    254  CG  LYS A  33       1.691  25.351   8.643  1.00  6.88           C\nATOM    255  CD  LYS A  33       2.002  24.369   7.523  1.00  7.88           C\nATOM    256  CE  LYS A  33       2.857  25.009   6.441  1.00  5.13           C\nATOM    257  NZ  LYS A  33       3.367  23.989   5.500  1.00  5.80           N\nATOM    258  N   PHE A  34       2.888  25.345  11.630  1.00  7.38           N\nATOM    259  CA  PHE A  34       4.120  25.982  12.108  1.00  6.80           C\nATOM    260  C   PHE A  34       4.864  25.384  13.303  1.00  1.66           C\nATOM    261  O   PHE A  34       5.969  25.838  13.669  1.00  7.94           O\nATOM    262  CB  PHE A  34       3.823  27.421  12.484  1.00  6.21           C\nATOM    263  CG  PHE A  34       3.522  28.104  11.182  1.00  8.91           C\nATOM    264  CD1 PHE A  34       2.352  28.770  11.043  1.00  4.64           C\nATOM    265  CD2 PHE A  34       4.430  28.142  10.155  1.00  5.75           C\nATOM    266  CE1 PHE A  34       2.015  29.452   9.839  1.00  6.04           C\nATOM    267  CE2 PHE A  34       4.099  28.870   8.963  1.00  8.97           C\nATOM    268  CZ  PHE A  34       2.905  29.472   8.818  1.00  6.88           C\nATOM    269  N   GLU A  35       4.235  24.371  13.876  1.00  9.16           N\nATOM    270  CA  GLU A  35       4.710  23.725  15.105  1.00  8.15           C\nATOM    271  C   GLU A  35       5.492  22.522  14.577  1.00  6.29           C\nATOM    272  O   GLU A  35       6.672  22.311  14.933  1.00  7.55           O\nATOM    273  CB  GLU A  35       3.529  23.292  16.018  1.00  6.17           C\nATOM    274  CG  GLU A  35       3.781  23.319  17.539  1.00  1.00           C\nATOM    275  CD  GLU A  35       4.672  24.515  18.041  1.00  6.62           C\nATOM    276  OE1 GLU A  35       5.840  24.269  17.743  1.00  5.48           O\nATOM    277  OE2 GLU A  35       4.202  25.453  18.611  1.00  5.48           O\nATOM    278  N   SER A  36       4.811  21.766  13.733  1.00  5.51           N\nATOM    279  CA  SER A  36       5.349  20.531  13.150  1.00  5.96           C\nATOM    280  C   SER A  36       5.269  20.152  11.672  1.00  8.94           C\nATOM    281  O   SER A  36       5.683  19.044  11.266  1.00  9.73           O\nATOM    282  CB  SER A  36       4.713  19.323  13.800  1.00  6.40           C\nATOM    283  OG  SER A  36       3.312  19.255  13.548  1.00  7.12           O\nATOM    284  N   ASN A  37       4.739  21.089  10.903  1.00  8.51           N\nATOM    285  CA  ASN A  37       4.540  20.923   9.459  1.00  7.02           C\nATOM    286  C   ASN A  37       3.675  19.698   9.166  1.00  7.37           C\nATOM    287  O   ASN A  37       3.923  18.949   8.200  1.00  7.84           O\nATOM    288  CB  ASN A  37       5.909  20.785   8.761  1.00  5.55           C\nATOM    289  CG  ASN A  37       5.922  21.493   7.434  1.00  8.03           C\nATOM    290  OD1 ASN A  37       5.145  22.641   7.360  1.00  3.60           O\nATOM    291  ND2 ASN A  37       6.506  21.098   6.441  1.00  3.60           N\nATOM    292  N   PHE A  38       2.674  19.529  10.015  1.00  6.59           N\nATOM    293  CA  PHE A  38       1.700  18.438   9.899  1.00  5.20           C\nATOM    294  C   PHE A  38       2.308  17.037   9.941  1.00  4.72           C\nATOM    295  O   PHE A  38       1.677  16.048   9.512  1.00  4.43           O\nATOM    296  CB  PHE A  38       0.932  18.594   8.602  1.00  7.03           C\nATOM    297  CG  PHE A  38       0.122  19.847   8.439  1.00  6.77           C\nATOM    298  CD1 PHE A  38      -0.399  20.441   9.533  1.00  6.90           C\nATOM    299  CD2 PHE A  38      -0.039  20.452   7.219  1.00  4.81           C\nATOM    300  CE1 PHE A  38      -1.163  21.641   9.445  1.00  4.37           C\nATOM    301  CE2 PHE A  38      -0.772  21.684   7.147  1.00  6.84           C\nATOM    302  CZ  PHE A  38      -1.339  22.228   8.240  1.00  5.94           C\nATOM    303  N   ASN A  39       3.523  16.992  10.465  1.00  9.08           N\nATOM    304  CA  ASN A  39       4.274  15.746  10.644  1.00  9.32           C\nATOM    305  C   ASN A  39       4.246  15.351  12.121  1.00  7.13           C\nATOM    306  O   ASN A  39       4.873  16.009  12.977  1.00  7.23           O\nATOM    307  CB  ASN A  39       5.722  15.938  10.149  1.00  5.83           C\nATOM    308  CG  ASN A  39       6.540  14.689  10.346  1.00  5.38           C\nATOM    309  OD1 ASN A  39       5.832  13.568  10.757  1.00  6.85           O\nATOM    310  ND2 ASN A  39       7.750  14.624  10.225  1.00  6.85           N\nATOM    311  N   THR A  40       3.518  14.276  12.379  1.00  7.69           N\nATOM    312  CA  THR A  40       3.383  13.702  13.723  1.00  5.74           C\nATOM    313  C   THR A  40       4.586  13.021  14.379  1.00  9.13           C\nATOM    314  O   THR A  40       4.616  12.812  15.611  1.00  7.66           O\nATOM    315  CB  THR A  40       2.245  12.666  13.661  1.00  8.62           C\nATOM    316  OG1 THR A  40       2.863  11.502  13.123  1.00  5.62           O\nATOM    317  CG2 THR A  40       1.107  13.112  12.782  1.00  3.71           C\nATOM    318  N   GLN A  41       5.550  12.696  13.533  1.00  9.10           N\nATOM    319  CA  GLN A  41       6.824  12.104  13.957  1.00  8.28           C\nATOM    320  C   GLN A  41       7.901  13.084  14.424  1.00  9.15           C\nATOM    321  O   GLN A  41       8.999  12.677  14.859  1.00  5.64           O\nATOM    322  CB  GLN A  41       7.372  11.303  12.809  1.00  8.35           C\nATOM    323  CG  GLN A  41       6.650  10.047  12.577  1.00  6.00           C\nATOM    324  CD  GLN A  41       7.506   8.891  12.042  1.00  8.19           C\nATOM    325  OE1 GLN A  41       7.565   8.718  10.777  1.00  4.04           O\nATOM    326  NE2 GLN A  41       8.165   8.200  12.872  1.00  4.04           N\nATOM    327  N   ALA A  42       7.552  14.357  14.323  1.00  4.92           N\nATOM    328  CA  ALA A  42       8.427  15.463  14.730  1.00  7.33           C\nATOM    329  C   ALA A  42       8.807  15.523  16.211  1.00  7.56           C\nATOM    330  O   ALA A  42       7.964  15.283  17.103  1.00 10.23           O\nATOM    331  CB  ALA A  42       7.647  16.751  14.435  1.00  7.78           C\nATOM    332  N   THR A  43      10.071  15.848  16.432  1.00  7.52           N\nATOM    333  CA  THR A  43      10.622  16.061  17.776  1.00  6.27           C\nATOM    334  C   THR A  43      11.637  17.199  17.672  1.00 10.16           C\nATOM    335  O   THR A  43      12.218  17.448  16.593  1.00  4.28           O\nATOM    336  CB  THR A  43      11.235  14.726  18.234  1.00  5.70           C\nATOM    337  OG1 THR A  43      12.261  14.469  17.281  1.00  6.25           O\nATOM    338  CG2 THR A  43      10.231  13.604  18.241  1.00  4.23           C\nATOM    339  N   ASN A  44      11.827  17.859  18.804  1.00  6.22           N\nATOM    340  CA  ASN A  44      12.810  18.940  18.949  1.00  7.48           C\nATOM    341  C   ASN A  44      13.223  19.117  20.411  1.00  7.41           C\nATOM    342  O   ASN A  44      12.369  19.302  21.304  1.00  5.52           O\nATOM    343  CB  ASN A  44      12.215  20.256  18.406  1.00  5.16           C\nATOM    344  CG  ASN A  44      12.029  20.200  16.912  1.00  4.50           C\nATOM    345  OD1 ASN A  44      13.198  20.204  16.162  1.00  4.85           O\nATOM    346  ND2 ASN A  44      10.952  20.211  16.342  1.00  4.85           N\nATOM    347  N   ARG A  45      14.530  19.060  20.613  1.00  7.58           N\nATOM    348  CA  ARG A  45      15.147  19.257  21.932  1.00  5.73           C\nATOM    349  C   ARG A  45      15.358  20.739  22.243  1.00 10.12           C\nATOM    350  O   ARG A  45      15.783  21.528  21.371  1.00  3.87           O\nATOM    351  CB  ARG A  45      16.517  18.554  22.017  1.00  5.39           C\nATOM    352  CG  ARG A  45      17.046  18.361  23.450  1.00  6.29           C\nATOM    353  CD  ARG A  45      17.656  16.982  23.599  1.00  4.43           C\nATOM    354  NE  ARG A  45      17.321  16.392  24.904  1.00  2.12           N\nATOM    355  CZ  ARG A  45      17.978  15.339  25.431  1.00  2.48           C\nATOM    356  NH1 ARG A  45      18.859  14.697  24.686  1.00  6.84           N\nATOM    357  NH2 ARG A  45      17.739  14.939  26.688  1.00  6.84           N\nATOM    358  N   ASN A  46      15.059  21.078  23.488  1.00  5.27           N\nATOM    359  CA  ASN A  46      15.139  22.458  23.991  1.00  8.37           C\nATOM    360  C   ASN A  46      16.438  22.403  24.798  1.00  2.50           C\nATOM    361  O   ASN A  46      16.930  21.310  25.152  1.00  4.06           O\nATOM    362  CB  ASN A  46      13.872  22.785  24.804  1.00  2.72           C\nATOM    363  CG  ASN A  46      12.622  22.563  23.993  1.00  6.18           C\nATOM    364  OD1 ASN A  46      11.811  21.517  24.416  1.00  2.77           O\nATOM    365  ND2 ASN A  46      12.323  23.186  22.990  1.00  2.77           N\nATOM    366  N   THR A  47      16.955  23.591  25.071  1.00  3.53           N\nATOM    367  CA  THR A  47      18.089  23.781  25.985  1.00  3.35           C\nATOM    368  C   THR A  47      18.033  23.179  27.389  1.00  3.34           C\nATOM    369  O   THR A  47      19.054  22.698  27.926  1.00  4.53           O\nATOM    370  CB  THR A  47      18.295  25.300  26.142  1.00  5.41           C\nATOM    371  OG1 THR A  47      16.973  25.822  26.222  1.00  5.89           O\nATOM    372  CG2 THR A  47      19.031  25.906  24.978  1.00  4.55           C\nATOM    373  N   ASP A  48      16.833  23.217  27.945  1.00  5.52           N\nATOM    374  CA  ASP A  48      16.589  22.875  29.352  1.00  3.73           C\nATOM    375  C   ASP A  48      16.526  21.351  29.452  1.00  8.35           C\nATOM    376  O   ASP A  48      16.390  20.782  30.557  1.00  7.78           O\nATOM    377  CB  ASP A  48      15.276  23.535  29.824  1.00  4.73           C\nATOM    378  CG  ASP A  48      14.071  22.773  29.335  1.00 10.39           C\nATOM    379  OD1 ASP A  48      14.147  22.307  28.029  1.00  5.66           O\nATOM    380  OD2 ASP A  48      13.049  22.600  29.976  1.00  5.66           O\nATOM    381  N   GLY A  49      16.632  20.730  28.289  1.00  8.09           N\nATOM    382  CA  GLY A  49      16.855  19.284  28.170  1.00  5.02           C\nATOM    383  C   GLY A  49      15.577  18.485  27.913  1.00  5.63           C\nATOM    384  O   GLY A  49      15.623  17.270  27.623  1.00  8.90           O\nATOM    385  N   SER A  50      14.466  19.197  28.022  1.00  6.91           N\nATOM    386  CA  SER A  50      13.145  18.685  27.636  1.00  6.54           C\nATOM    387  C   SER A  50      13.154  18.555  26.113  1.00  8.20           C\nATOM    388  O   SER A  50      14.056  19.080  25.425  1.00  9.56           O\nATOM    389  CB  SER A  50      12.058  19.630  28.098  1.00  7.28           C\nATOM    390  OG  SER A  50      11.849  20.696  27.176  1.00  9.04           O\nATOM    391  N   THR A  51      12.140  17.859  25.625  1.00  5.83           N\nATOM    392  CA  THR A  51      11.971  17.581  24.194  1.00  9.37           C\nATOM    393  C   THR A  51      10.488  17.811  23.903  1.00  5.22           C\nATOM    394  O   THR A  51       9.621  17.618  24.782  1.00 10.11           O\nATOM    395  CB  THR A  51      12.454  16.138  23.951  1.00  5.87           C\nATOM    396  OG1 THR A  51      13.870  16.220  24.073  1.00  5.90           O\nATOM    397  CG2 THR A  51      12.071  15.626  22.589  1.00  3.97           C\nATOM    398  N   ASP A  52      10.237  18.215  22.668  1.00  5.63           N\nATOM    399  CA  ASP A  52       8.885  18.518  22.183  1.00  6.94           C\nATOM    400  C   ASP A  52       8.480  17.351  21.281  1.00  9.14           C\nATOM    401  O   ASP A  52       9.300  16.825  20.499  1.00  9.64           O\nATOM    402  CB  ASP A  52       8.895  19.867  21.433  1.00  6.00           C\nATOM    403  CG  ASP A  52       8.864  21.028  22.391  1.00  7.92           C\nATOM    404  OD1 ASP A  52       8.977  20.936  23.601  1.00  5.30           O\nATOM    405  OD2 ASP A  52       8.778  22.114  21.885  1.00  5.30           O\nATOM    406  N   TYR A  53       7.216  16.983  21.413  1.00  7.53           N\nATOM    407  CA  TYR A  53       6.636  15.841  20.700  1.00  6.01           C\nATOM    408  C   TYR A  53       5.255  15.835  20.044  1.00  7.84           C\nATOM    409  O   TYR A  53       4.249  16.258  20.653  1.00  7.57           O\nATOM    410  CB  TYR A  53       6.580  14.636  21.655  1.00  5.06           C\nATOM    411  CG  TYR A  53       7.876  14.229  22.371  1.00  9.86           C\nATOM    412  CD1 TYR A  53       8.556  13.089  21.907  1.00  7.81           C\nATOM    413  CD2 TYR A  53       8.325  14.899  23.477  1.00  7.89           C\nATOM    414  CE1 TYR A  53       9.781  12.687  22.586  1.00  7.56           C\nATOM    415  CE2 TYR A  53       9.523  14.512  24.151  1.00  5.96           C\nATOM    416  CZ  TYR A  53      10.185  13.372  23.677  1.00  8.81           C\nATOM    417  OH  TYR A  53      11.330  12.977  24.335  1.00  8.66           O\nATOM    418  N   GLY A  54       5.243  15.343  18.816  1.00  8.84           N\nATOM    419  CA  GLY A  54       4.046  15.335  17.966  1.00  6.30           C\nATOM    420  C   GLY A  54       3.699  16.443  16.974  1.00  7.27           C\nATOM    421  O   GLY A  54       4.511  17.358  16.721  1.00  6.69           O\nATOM    422  N   ILE A  55       2.493  16.333  16.441  1.00  6.43           N\nATOM    423  CA  ILE A  55       1.911  17.349  15.555  1.00  4.03           C\nATOM    424  C   ILE A  55       1.722  18.713  16.221  1.00  8.54           C\nATOM    425  O   ILE A  55       1.801  19.770  15.558  1.00 10.00           O\nATOM    426  CB  ILE A  55       0.510  16.931  15.043  1.00  8.31           C\nATOM    427  CG1 ILE A  55       0.118  17.636  13.716  1.00  5.01           C\nATOM    428  CG2 ILE A  55      -0.370  17.234  16.259  1.00  4.29           C\nATOM    429  CD1 ILE A  55       0.371  16.778  12.455  1.00  7.30           C\nATOM    430  N   LEU A  56       1.481  18.652  17.521  1.00  8.46           N\nATOM    431  CA  LEU A  56       1.284  19.842  18.359  1.00  5.81           C\nATOM    432  C   LEU A  56       2.435  20.174  19.310  1.00  7.44           C\nATOM    433  O   LEU A  56       2.329  21.087  20.156  1.00  9.20           O\nATOM    434  CB  LEU A  56       0.019  19.675  19.223  1.00  5.96           C\nATOM    435  CG  LEU A  56      -1.177  20.548  18.907  1.00  7.67           C\nATOM    436  CD1 LEU A  56      -0.984  21.197  17.557  1.00  6.69           C\nATOM    437  CD2 LEU A  56      -2.447  19.731  18.907  1.00  6.69           C\nATOM    438  N   GLN A  57       3.511  19.421  19.139  1.00  7.93           N\nATOM    439  CA  GLN A  57       4.742  19.591  19.921  1.00  5.51           C\nATOM    440  C   GLN A  57       4.622  19.805  21.431  1.00  7.63           C\nATOM    441  O   GLN A  57       5.078  20.834  21.974  1.00 10.99           O\nATOM    442  CB  GLN A  57       5.494  20.766  19.362  1.00  2.73           C\nATOM    443  CG  GLN A  57       6.092  20.502  18.047  1.00  6.64           C\nATOM    444  CD  GLN A  57       7.256  19.501  18.049  1.00  9.13           C\nATOM    445  OE1 GLN A  57       8.421  19.929  18.351  1.00  8.27           O\nATOM    446  NE2 GLN A  57       6.999  18.283  17.812  1.00  8.27           N\nATOM    447  N   ILE A  58       4.010  18.821  22.069  1.00  6.69           N\nATOM    448  CA  ILE A  58       3.805  18.812  23.524  1.00  6.33           C\nATOM    449  C   ILE A  58       5.124  18.505  24.233  1.00  5.54           C\nATOM    450  O   ILE A  58       5.874  17.588  23.832  1.00  8.52           O\nATOM    451  CB  ILE A  58       2.770  17.741  23.951  1.00  8.39           C\nATOM    452  CG1 ILE A  58       1.357  17.995  23.356  1.00  6.57           C\nATOM    453  CG2 ILE A  58       2.882  17.790  25.476  1.00  2.15           C\nATOM    454  CD1 ILE A  58       0.672  16.722  22.809  1.00  4.26           C\nATOM    455  N   ASN A  59       5.370  19.282  25.278  1.00  8.24           N\nATOM    456  CA  ASN A  59       6.598  19.187  26.079  1.00  6.51           C\nATOM    457  C   ASN A  59       6.657  18.098  27.150  1.00  6.39           C\nATOM    458  O   ASN A  59       5.646  17.797  27.821  1.00  1.57           O\nATOM    459  CB  ASN A  59       6.850  20.529  26.799  1.00  5.35           C\nATOM    460  CG  ASN A  59       8.304  20.695  27.156  1.00  7.04           C\nATOM    461  OD1 ASN A  59       8.624  20.463  28.488  1.00  3.38           O\nATOM    462  ND2 ASN A  59       9.173  21.064  26.386  1.00  3.38           N\nATOM    463  N   SER A  60       7.849  17.536  27.285  1.00  7.46           N\nATOM    464  CA  SER A  60       8.135  16.486  28.270  1.00  6.18           C\nATOM    465  C   SER A  60       8.459  16.829  29.725  1.00  7.98           C\nATOM    466  O   SER A  60       8.570  15.936  30.589  1.00  4.07           O\nATOM    467  CB  SER A  60       9.328  15.666  27.832  1.00  7.23           C\nATOM    468  OG  SER A  60      10.549  16.386  27.956  1.00  6.41           O\nATOM    469  N   ARG A  61       8.597  18.126  29.957  1.00  4.65           N\nATOM    470  CA  ARG A  61       8.935  18.674  31.277  1.00  5.48           C\nATOM    471  C   ARG A  61       7.669  18.679  32.136  1.00  4.46           C\nATOM    472  O   ARG A  61       7.734  18.586  33.380  1.00  3.84           O\nATOM    473  CB  ARG A  61       9.490  20.107  31.162  1.00  5.80           C\nATOM    474  CG  ARG A  61       9.442  20.917  32.471  1.00  7.33           C\nATOM    475  CD  ARG A  61      10.786  21.568  32.730  1.00  2.02           C\nATOM    476  NE  ARG A  61      11.028  21.726  34.173  1.00  3.43           N\nATOM    477  CZ  ARG A  61      12.197  22.170  34.684  1.00  2.80           C\nATOM    478  NH1 ARG A  61      13.261  22.214  33.902  1.00  4.98           N\nATOM    479  NH2 ARG A  61      12.286  22.554  35.966  1.00  4.98           N\nATOM    480  N   TRP A  62       6.547  18.783  31.442  1.00  5.29           N\nATOM    481  CA  TRP A  62       5.215  18.747  32.059  1.00  6.39           C\nATOM    482  C   TRP A  62       4.042  17.836  31.698  1.00  4.44           C\nATOM    483  O   TRP A  62       3.345  17.298  32.585  1.00  6.04           O\nATOM    484  CB  TRP A  62       4.583  20.134  31.943  1.00  6.09           C\nATOM    485  CG  TRP A  62       5.548  21.368  32.081  1.00  4.17           C\nATOM    486  CD1 TRP A  62       6.265  21.993  31.136  1.00  2.78           C\nATOM    487  CD2 TRP A  62       5.785  22.088  33.256  1.00  6.50           C\nATOM    488  NE1 TRP A  62       7.026  23.073  31.736  1.00  4.73           N\nATOM    489  CE2 TRP A  62       6.699  23.142  32.967  1.00  3.83           C\nATOM    490  CE3 TRP A  62       5.313  21.940  34.540  1.00  1.93           C\nATOM    491  CZ2 TRP A  62       7.172  24.076  33.893  1.00  0.59           C\nATOM    492  CZ3 TRP A  62       5.807  22.879  35.470  1.00  5.82           C\nATOM    493  CH2 TRP A  62       6.664  23.922  35.148  1.00  2.80           C\nATOM    494  N   TRP A  63       3.858  17.685  30.396  1.00  5.79           N\nATOM    495  CA  TRP A  63       2.811  16.826  29.828  1.00  4.13           C\nATOM    496  C   TRP A  63       2.897  15.321  29.588  1.00  7.49           C\nATOM    497  O   TRP A  63       1.878  14.599  29.652  1.00  5.75           O\nATOM    498  CB  TRP A  63       2.437  17.358  28.444  1.00  2.76           C\nATOM    499  CG  TRP A  63       2.327  18.899  28.741  1.00  7.71           C\nATOM    500  CD1 TRP A  63       3.075  19.908  28.273  1.00  6.23           C\nATOM    501  CD2 TRP A  63       1.350  19.506  29.537  1.00  6.86           C\nATOM    502  NE1 TRP A  63       2.614  21.162  28.840  1.00  5.13           N\nATOM    503  CE2 TRP A  63       1.578  20.913  29.541  1.00  7.94           C\nATOM    504  CE3 TRP A  63       0.296  18.994  30.258  1.00  5.33           C\nATOM    505  CZ2 TRP A  63       0.802  21.854  30.226  1.00  6.15           C\nATOM    506  CZ3 TRP A  63      -0.472  19.949  30.956  1.00  4.58           C\nATOM    507  CH2 TRP A  63      -0.251  21.318  30.905  1.00  5.00           C\nATOM    508  N   CYS A  64       4.119  14.885  29.323  1.00  6.23           N\nATOM    509  CA  CYS A  64       4.418  13.486  28.994  1.00  5.07           C\nATOM    510  C   CYS A  64       5.827  13.025  29.375  1.00  3.87           C\nATOM    511  O   CYS A  64       6.794  13.816  29.342  1.00  3.90           O\nATOM    512  CB  CYS A  64       4.294  13.175  27.342  1.00  5.74           C\nATOM    513  SG  CYS A  64       5.622  13.979  26.390  1.00 16.82           S\nATOM    514  N   ASN A  65       5.903  11.750  29.722  1.00  7.32           N\nATOM    515  CA  ASN A  65       7.171  11.074  30.027  1.00  6.52           C\nATOM    516  C   ASN A  65       7.861  10.440  28.817  1.00  3.90           C\nATOM    517  O   ASN A  65       7.263   9.613  28.095  1.00  9.86           O\nATOM    518  CB  ASN A  65       6.930   9.969  31.078  1.00  2.80           C\nATOM    519  CG  ASN A  65       8.230   9.393  31.577  1.00  4.52           C\nATOM    520  OD1 ASN A  65       9.190  10.051  31.935  1.00  4.94           O\nATOM    521  ND2 ASN A  65       8.264   8.196  31.668  1.00  4.94           N\nATOM    522  N   ASP A  66       9.109  10.845  28.633  1.00  3.36           N\nATOM    523  CA  ASP A  66      10.020  10.221  27.666  1.00  5.57           C\nATOM    524  C   ASP A  66      11.235   9.653  28.403  1.00  7.41           C\nATOM    525  O   ASP A  66      12.226   9.222  27.775  1.00  7.13           O\nATOM    526  CB  ASP A  66      10.454  11.267  26.615  1.00  5.86           C\nATOM    527  CG  ASP A  66      11.270  12.368  27.240  1.00  7.87           C\nATOM    528  OD1 ASP A  66      11.334  12.350  28.628  1.00  8.77           O\nATOM    529  OD2 ASP A  66      11.807  13.272  26.625  1.00  8.77           O\nATOM    530  N   GLY A  67      11.120   9.664  29.722  1.00  5.92           N\nATOM    531  CA  GLY A  67      12.121   9.074  30.620  1.00  6.19           C\nATOM    532  C   GLY A  67      13.574   9.550  30.676  1.00  6.38           C\nATOM    533  O   GLY A  67      14.460   8.855  31.218  1.00  6.50           O\nATOM    534  N   ARG A  68      13.778  10.731  30.114  1.00  4.00           N\nATOM    535  CA  ARG A  68      15.050  11.459  30.212  1.00  6.96           C\nATOM    536  C   ARG A  68      14.960  12.972  30.420  1.00  8.21           C\nATOM    537  O   ARG A  68      15.933  13.716  30.169  1.00  7.11           O\nATOM    538  CB  ARG A  68      15.898  11.276  28.936  1.00  7.03           C\nATOM    539  CG  ARG A  68      15.316  11.957  27.682  1.00  5.43           C\nATOM    540  CD  ARG A  68      16.417  12.212  26.671  1.00  6.18           C\nATOM    541  NE  ARG A  68      15.861  12.668  25.386  1.00  8.14           N\nATOM    542  CZ  ARG A  68      16.611  13.225  24.409  1.00  4.50           C\nATOM    543  NH1 ARG A  68      17.949  13.225  24.485  1.00  6.05           N\nATOM    544  NH2 ARG A  68      16.004  13.766  23.367  1.00  6.05           N\nATOM    545  N   THR A  69      13.789  13.386  30.881  1.00  5.55           N\nATOM    546  CA  THR A  69      13.568  14.735  31.414  1.00  3.36           C\nATOM    547  C   THR A  69      13.175  14.685  32.890  1.00  5.30           C\nATOM    548  O   THR A  69      12.008  14.402  33.238  1.00  6.25           O\nATOM    549  CB  THR A  69      12.474  15.390  30.549  1.00  5.91           C\nATOM    550  OG1 THR A  69      12.802  15.001  29.219  1.00  7.37           O\nATOM    551  CG2 THR A  69      12.465  16.885  30.672  1.00  5.60           C\nATOM    552  N   PRO A  70      14.165  14.968  33.722  1.00  9.20           N\nATOM    553  CA  PRO A  70      14.000  15.011  35.179  1.00  1.75           C\nATOM    554  C   PRO A  70      13.077  15.708  36.179  1.00  4.96           C\nATOM    555  O   PRO A  70      12.640  15.106  37.183  1.00  4.82           O\nATOM    556  CB  PRO A  70      15.371  15.319  35.687  1.00  4.10           C\nATOM    557  CG  PRO A  70      16.308  15.083  34.519  1.00  2.81           C\nATOM    558  CD  PRO A  70      15.472  15.433  33.293  1.00  7.66           C\nATOM    559  N   GLY A  71      12.800  16.960  35.870  1.00  2.27           N\nATOM    560  CA  GLY A  71      11.889  17.797  36.660  1.00  3.74           C\nATOM    561  C   GLY A  71      10.548  17.095  36.451  1.00  8.15           C\nATOM    562  O   GLY A  71       9.658  17.126  37.328  1.00  3.65           O\nATOM    563  N   SER A  72      10.443  16.472  35.290  1.00  4.04           N\nATOM    564  CA  SER A  72       9.195  15.862  34.820  1.00  3.01           C\nATOM    565  C   SER A  72       7.912  15.477  35.556  1.00  6.25           C\nATOM    566  O   SER A  72       7.890  14.518  36.357  1.00  6.37           O\nATOM    567  CB  SER A  72       9.473  14.512  34.199  1.00  4.23           C\nATOM    568  OG  SER A  72       9.506  14.574  32.777  1.00  3.61           O\nATOM    569  N   ARG A  73       6.871  16.234  35.258  1.00  7.96           N\nATOM    570  CA  ARG A  73       5.530  16.009  35.808  1.00  4.66           C\nATOM    571  C   ARG A  73       5.083  15.426  34.469  1.00  5.78           C\nATOM    572  O   ARG A  73       5.563  15.838  33.391  1.00  2.98           O\nATOM    573  CB  ARG A  73       4.895  17.327  36.289  1.00  4.04           C\nATOM    574  CG  ARG A  73       4.908  17.520  37.816  1.00  2.26           C\nATOM    575  CD  ARG A  73       5.304  18.941  38.158  1.00  1.15           C\nATOM    576  NE  ARG A  73       6.050  18.993  39.425  1.00  1.65           N\nATOM    577  CZ  ARG A  73       7.186  19.704  39.588  1.00  3.54           C\nATOM    578  NH1 ARG A  73       7.776  20.306  38.546  1.00  1.25           N\nATOM    579  NH2 ARG A  73       7.710  19.805  40.795  1.00  1.25           N\nATOM    580  N   ASN A  74       4.165  14.479  34.575  1.00  3.26           N\nATOM    581  CA  ASN A  74       3.595  13.783  33.416  1.00  3.30           C\nATOM    582  C   ASN A  74       2.086  13.965  33.577  1.00  7.29           C\nATOM    583  O   ASN A  74       1.339  12.990  33.806  1.00  5.81           O\nATOM    584  CB  ASN A  74       4.044  12.307  33.428  1.00  3.84           C\nATOM    585  CG  ASN A  74       3.302  11.497  32.398  1.00  4.29           C\nATOM    586  OD1 ASN A  74       3.099  10.299  32.467  1.00  5.46           O\nATOM    587  ND2 ASN A  74       2.768  12.220  31.338  1.00  5.46           N\nATOM    588  N   LEU A  75       1.679  15.217  33.447  1.00  6.81           N\nATOM    589  CA  LEU A  75       0.284  15.630  33.645  1.00  5.40           C\nATOM    590  C   LEU A  75      -0.742  15.016  32.694  1.00  5.96           C\nATOM    591  O   LEU A  75      -1.950  14.938  33.010  1.00  7.05           O\nATOM    592  CB  LEU A  75       0.161  17.155  33.497  1.00  4.99           C\nATOM    593  CG  LEU A  75       0.412  18.008  34.722  1.00  4.93           C\nATOM    594  CD1 LEU A  75      -0.389  17.470  35.883  1.00  2.72           C\nATOM    595  CD2 LEU A  75       1.880  18.016  35.068  1.00  2.72           C\nATOM    596  N   CYS A  76      -0.231  14.589  31.551  1.00  5.89           N\nATOM    597  CA  CYS A  76      -1.035  13.954  30.501  1.00  6.31           C\nATOM    598  C   CYS A  76      -1.177  12.452  30.746  1.00 10.24           C\nATOM    599  O   CYS A  76      -2.044  11.780  30.146  1.00  5.94           O\nATOM    600  CB  CYS A  76      -1.300  14.441  29.129  1.00  6.64           C\nATOM    601  SG  CYS A  76      -1.502  16.173  28.624  1.00 16.02           S\nATOM    602  N   ASN A  77      -0.320  11.967  31.631  1.00  5.79           N\nATOM    603  CA  ASN A  77      -0.117  10.529  31.844  1.00  7.20           C\nATOM    604  C   ASN A  77      -0.018   9.734  30.542  1.00  5.54           C\nATOM    605  O   ASN A  77      -0.803   8.791  30.300  1.00  8.35           O\nATOM    606  CB  ASN A  77      -1.279   9.963  32.688  1.00  6.44           C\nATOM    607  CG  ASN A  77      -0.801   9.493  34.036  1.00  4.41           C\nATOM    608  OD1 ASN A  77      -0.102   8.293  34.038  1.00  3.41           O\nATOM    609  ND2 ASN A  77      -1.033  10.053  35.091  1.00  3.41           N\nATOM    610  N   ILE A  78       0.953  10.135  29.739  1.00  5.45           N\nATOM    611  CA  ILE A  78       1.253   9.486  28.457  1.00  4.68           C\nATOM    612  C   ILE A  78       2.780   9.491  28.374  1.00  6.97           C\nATOM    613  O   ILE A  78       3.451  10.415  28.882  1.00  6.38           O\nATOM    614  CB  ILE A  78       0.631  10.254  27.265  1.00  8.06           C\nATOM    615  CG1 ILE A  78       0.124   9.312  26.139  1.00  4.79           C\nATOM    616  CG2 ILE A  78       1.762  11.213  26.889  1.00  4.09           C\nATOM    617  CD1 ILE A  78      -0.732   8.132  26.652  1.00  4.11           C\nATOM    618  N   PRO A  79       3.288   8.456  27.727  1.00  7.99           N\nATOM    619  CA  PRO A  79       4.713   8.330  27.412  1.00  3.81           C\nATOM    620  C   PRO A  79       4.640   9.231  26.179  1.00  9.61           C\nATOM    621  O   PRO A  79       3.689   9.144  25.372  1.00  5.11           O\nATOM    622  CB  PRO A  79       4.921   6.854  27.259  1.00  5.66           C\nATOM    623  CG  PRO A  79       3.592   6.123  27.239  1.00  3.52           C\nATOM    624  CD  PRO A  79       2.569   7.202  27.578  1.00  5.00           C\nATOM    625  N   CYS A  80       5.656  10.072  26.066  1.00  7.25           N\nATOM    626  CA  CYS A  80       5.808  10.997  24.936  1.00  7.22           C\nATOM    627  C   CYS A  80       5.689  10.383  23.542  1.00  9.39           C\nATOM    628  O   CYS A  80       5.102  10.988  22.618  1.00  7.33           O\nATOM    629  CB  CYS A  80       7.115  11.720  25.134  1.00  8.90           C\nATOM    630  SG  CYS A  80       7.226  12.794  26.597  1.00 15.69           S\nATOM    631  N   SER A  81       6.248   9.189  23.429  1.00  9.69           N\nATOM    632  CA  SER A  81       6.261   8.425  22.176  1.00  7.60           C\nATOM    633  C   SER A  81       4.863   8.258  21.581  1.00  6.67           C\nATOM    634  O   SER A  81       4.681   8.280  20.344  1.00  9.20           O\nATOM    635  CB  SER A  81       6.845   7.049  22.404  1.00  7.70           C\nATOM    636  OG  SER A  81       6.167   6.345  23.439  1.00  6.77           O\nATOM    637  N   ALA A  82       3.908   8.100  22.483  1.00  4.97           N\nATOM    638  CA  ALA A  82       2.489   7.969  22.134  1.00  8.23           C\nATOM    639  C   ALA A  82       1.956   9.124  21.287  1.00  7.81           C\nATOM    640  O   ALA A  82       0.979   8.967  20.523  1.00  4.56           O\nATOM    641  CB  ALA A  82       1.689   7.993  23.446  1.00  6.38           C\nATOM    642  N   LEU A  83       2.621  10.258  21.443  1.00  9.73           N\nATOM    643  CA  LEU A  83       2.138  11.547  20.933  1.00  8.38           C\nATOM    644  C   LEU A  83       2.577  11.634  19.471  1.00  8.14           C\nATOM    645  O   LEU A  83       2.140  12.532  18.718  1.00  8.31           O\nATOM    646  CB  LEU A  83       2.726  12.699  21.769  1.00  5.05           C\nATOM    647  CG  LEU A  83       2.205  12.890  23.178  1.00  9.54           C\nATOM    648  CD1 LEU A  83       2.776  14.162  23.757  1.00  6.61           C\nATOM    649  CD2 LEU A  83       0.698  12.954  23.181  1.00  6.61           C\nATOM    650  N   LEU A  84       3.430  10.689  19.107  1.00  7.28           N\nATOM    651  CA  LEU A  84       3.978  10.584  17.749  1.00  7.18           C\nATOM    652  C   LEU A  84       3.378   9.654  16.695  1.00  5.88           C\nATOM    653  O   LEU A  84       3.826   9.627  15.528  1.00  6.40           O\nATOM    654  CB  LEU A  84       5.452  10.142  17.808  1.00  5.54           C\nATOM    655  CG  LEU A  84       6.401  10.950  18.668  1.00  8.53           C\nATOM    656  CD1 LEU A  84       7.811  10.448  18.470  1.00  5.00           C\nATOM    657  CD2 LEU A  84       6.321  12.414  18.312  1.00  5.00           C\nATOM    658  N   SER A  85       2.372   8.917  17.136  1.00  6.53           N\nATOM    659  CA  SER A  85       1.743   7.858  16.338  1.00  7.25           C\nATOM    660  C   SER A  85       0.811   8.628  15.401  1.00  4.02           C\nATOM    661  O   SER A  85       0.515   9.822  15.624  1.00  8.63           O\nATOM    662  CB  SER A  85       1.006   6.889  17.235  1.00  3.82           C\nATOM    663  OG  SER A  85      -0.358   7.258  17.414  1.00  5.20           O\nATOM    664  N   SER A  86       0.370   7.917  14.377  1.00  5.75           N\nATOM    665  CA  SER A  86      -0.493   8.474  13.328  1.00 10.23           C\nATOM    666  C   SER A  86      -1.961   8.775  13.630  1.00 10.38           C\nATOM    667  O   SER A  86      -2.652   9.464  12.847  1.00  2.62           O\nATOM    668  CB  SER A  86      -0.544   7.540  12.138  1.00  5.61           C\nATOM    669  OG  SER A  86       0.714   6.920  11.891  1.00  2.24           O\nATOM    670  N   ASP A  87      -2.397   8.252  14.765  1.00  7.91           N\nATOM    671  CA  ASP A  87      -3.703   8.580  15.349  1.00  7.96           C\nATOM    672  C   ASP A  87      -3.278   9.708  16.290  1.00  7.48           C\nATOM    673  O   ASP A  87      -2.358   9.544  17.119  1.00  5.44           O\nATOM    674  CB  ASP A  87      -4.296   7.326  16.026  1.00  4.77           C\nATOM    675  CG  ASP A  87      -5.651   7.609  16.619  1.00  8.20           C\nATOM    676  OD1 ASP A  87      -5.868   8.414  17.507  1.00  5.17           O\nATOM    677  OD2 ASP A  87      -6.570   7.022  16.116  1.00  5.17           O\nATOM    678  N   ILE A  88      -3.968  10.827  16.137  1.00  7.35           N\nATOM    679  CA  ILE A  88      -3.676  12.058  16.882  1.00  6.31           C\nATOM    680  C   ILE A  88      -4.476  12.191  18.179  1.00 11.89           C\nATOM    681  O   ILE A  88      -4.449  13.246  18.848  1.00  9.48           O\nATOM    682  CB  ILE A  88      -3.999  13.324  16.050  1.00  7.40           C\nATOM    683  CG1 ILE A  88      -5.520  13.503  15.790  1.00  3.39           C\nATOM    684  CG2 ILE A  88      -3.120  13.117  14.814  1.00  5.69           C\nATOM    685  CD1 ILE A  88      -5.893  14.881  15.197  1.00  7.34           C\nATOM    686  N   THR A  89      -5.166  11.108  18.500  1.00  6.35           N\nATOM    687  CA  THR A  89      -6.137  11.073  19.601  1.00  6.05           C\nATOM    688  C   THR A  89      -5.518  11.514  20.928  1.00  6.93           C\nATOM    689  O   THR A  89      -6.071  12.379  21.641  1.00  8.34           O\nATOM    690  CB  THR A  89      -6.676   9.632  19.684  1.00  6.38           C\nATOM    691  OG1 THR A  89      -7.389   9.456  18.464  1.00  7.23           O\nATOM    692  CG2 THR A  89      -7.590   9.426  20.862  1.00  5.18           C\nATOM    693  N   ALA A  90      -4.378  10.908  21.220  1.00  9.43           N\nATOM    694  CA  ALA A  90      -3.609  11.188  22.439  1.00  7.16           C\nATOM    695  C   ALA A  90      -3.093  12.623  22.544  1.00  7.06           C\nATOM    696  O   ALA A  90      -3.062  13.219  23.642  1.00 11.16           O\nATOM    697  CB  ALA A  90      -2.366  10.285  22.407  1.00  4.15           C\nATOM    698  N   SER A  91      -2.704  13.142  21.390  1.00  7.90           N\nATOM    699  CA  SER A  91      -2.271  14.538  21.243  1.00  5.16           C\nATOM    700  C   SER A  91      -3.335  15.615  21.450  1.00  5.99           C\nATOM    701  O   SER A  91      -3.088  16.646  22.107  1.00  6.67           O\nATOM    702  CB  SER A  91      -1.709  14.771  19.858  1.00  9.90           C\nATOM    703  OG  SER A  91      -0.485  14.073  19.653  1.00  5.99           O\nATOM    704  N   VAL A  92      -4.499  15.339  20.885  1.00  7.38           N\nATOM    705  CA  VAL A  92      -5.696  16.168  21.065  1.00  9.47           C\nATOM    706  C   VAL A  92      -6.000  16.144  22.563  1.00  8.29           C\nATOM    707  O   VAL A  92      -6.050  17.201  23.229  1.00  5.11           O\nATOM    708  CB  VAL A  92      -6.839  15.621  20.222  1.00  6.94           C\nATOM    709  CG1 VAL A  92      -8.256  15.940  20.758  1.00  5.20           C\nATOM    710  CG2 VAL A  92      -6.685  15.967  18.764  1.00  5.20           C\nATOM    711  N   ASN A  93      -6.191  14.933  23.056  1.00  6.83           N\nATOM    712  CA  ASN A  93      -6.649  14.687  24.429  1.00  8.22           C\nATOM    713  C   ASN A  93      -5.798  15.516  25.392  1.00  8.44           C\nATOM    714  O   ASN A  93      -6.318  16.114  26.357  1.00  6.51           O\nATOM    715  CB  ASN A  93      -6.543  13.180  24.747  1.00  5.42           C\nATOM    716  CG  ASN A  93      -7.855  12.475  24.517  1.00  6.22           C\nATOM    717  OD1 ASN A  93      -8.905  13.286  24.106  1.00  4.86           O\nATOM    718  ND2 ASN A  93      -8.054  11.291  24.719  1.00  4.86           N\nATOM    719  N   CYS A  94      -4.507  15.530  25.098  1.00  6.26           N\nATOM    720  CA  CYS A  94      -3.491  16.132  25.968  1.00  5.76           C\nATOM    721  C   CYS A  94      -3.460  17.640  25.717  1.00  7.19           C\nATOM    722  O   CYS A  94      -3.312  18.448  26.658  1.00  7.24           O\nATOM    723  CB  CYS A  94      -2.104  15.661  25.614  1.00  7.70           C\nATOM    724  SG  CYS A  94      -0.751  16.286  26.655  1.00 17.52           S\nATOM    725  N   ALA A  95      -3.608  17.978  24.446  1.00  8.04           N\nATOM    726  CA  ALA A  95      -3.642  19.372  23.984  1.00  4.76           C\nATOM    727  C   ALA A  95      -4.806  20.146  24.604  1.00  7.51           C\nATOM    728  O   ALA A  95      -4.728  21.376  24.808  1.00  9.40           O\nATOM    729  CB  ALA A  95      -3.884  19.371  22.467  1.00  8.34           C\nATOM    730  N   LYS A  96      -5.859  19.397  24.892  1.00  5.34           N\nATOM    731  CA  LYS A  96      -7.077  19.930  25.515  1.00  3.69           C\nATOM    732  C   LYS A  96      -6.787  20.418  26.936  1.00  7.22           C\nATOM    733  O   LYS A  96      -7.221  21.518  27.341  1.00  7.12           O\nATOM    734  CB  LYS A  96      -8.173  18.872  25.577  1.00  5.18           C\nATOM    735  CG  LYS A  96      -8.864  18.597  24.253  1.00  6.16           C\nATOM    736  CD  LYS A  96     -10.303  18.152  24.471  1.00  6.55           C\nATOM    737  CE  LYS A  96     -10.943  17.676  23.175  1.00  2.93           C\nATOM    738  NZ  LYS A  96     -11.372  16.265  23.285  1.00  5.32           N\nATOM    739  N   LYS A  97      -6.053  19.583  27.655  1.00  7.90           N\nATOM    740  CA  LYS A  97      -5.564  19.899  29.003  1.00  6.12           C\nATOM    741  C   LYS A  97      -4.650  21.123  29.083  1.00  7.79           C\nATOM    742  O   LYS A  97      -4.714  21.914  30.048  1.00  8.52           O\nATOM    743  CB  LYS A  97      -4.777  18.734  29.592  1.00  3.20           C\nATOM    744  CG  LYS A  97      -5.631  17.629  30.185  1.00  3.57           C\nATOM    745  CD  LYS A  97      -5.012  17.090  31.470  1.00  4.69           C\nATOM    746  CE  LYS A  97      -6.040  16.365  32.325  1.00  5.34           C\nATOM    747  NZ  LYS A  97      -5.848  16.676  33.758  1.00  3.61           N\nATOM    748  N   ILE A  98      -3.822  21.247  28.057  1.00  6.49           N\nATOM    749  CA  ILE A  98      -2.695  22.188  28.043  1.00  7.09           C\nATOM    750  C   ILE A  98      -3.443  23.520  27.957  1.00  8.85           C\nATOM    751  O   ILE A  98      -3.258  24.420  28.803  1.00  0.96           O\nATOM    752  CB  ILE A  98      -1.759  21.946  26.833  1.00 10.99           C\nATOM    753  CG1 ILE A  98      -0.719  20.822  27.091  1.00  5.84           C\nATOM    754  CG2 ILE A  98      -1.197  23.348  26.589  1.00  6.76           C\nATOM    755  CD1 ILE A  98      -0.368  19.997  25.832  1.00  5.68           C\nATOM    756  N   VAL A  99      -4.277  23.605  26.933  1.00  4.98           N\nATOM    757  CA  VAL A  99      -5.126  24.777  26.684  1.00  4.35           C\nATOM    758  C   VAL A  99      -6.220  25.287  27.623  1.00  6.26           C\nATOM    759  O   VAL A  99      -6.579  26.485  27.604  1.00  4.54           O\nATOM    760  CB  VAL A  99      -5.881  24.599  25.374  1.00  4.58           C\nATOM    761  CG1 VAL A  99      -7.242  23.869  25.500  1.00  4.51           C\nATOM    762  CG2 VAL A  99      -5.991  25.888  24.602  1.00  4.51           C\nATOM    763  N   SER A 100      -6.719  24.361  28.426  1.00  6.28           N\nATOM    764  CA  SER A 100      -7.754  24.640  29.429  1.00  6.27           C\nATOM    765  C   SER A 100      -7.148  25.347  30.644  1.00  6.62           C\nATOM    766  O   SER A 100      -7.856  26.042  31.404  1.00  2.15           O\nATOM    767  CB  SER A 100      -8.411  23.354  29.880  1.00  7.28           C\nATOM    768  OG  SER A 100      -9.394  22.901  28.952  1.00  2.06           O\nATOM    769  N   ASP A 101      -5.846  25.151  30.791  1.00  5.73           N\nATOM    770  CA  ASP A 101      -5.195  25.028  32.101  1.00  6.23           C\nATOM    771  C   ASP A 101      -4.688  26.407  32.526  1.00  5.68           C\nATOM    772  O   ASP A 101      -4.196  26.592  33.660  1.00  3.17           O\nATOM    773  CB  ASP A 101      -4.040  24.008  32.010  1.00  2.31           C\nATOM    774  CG  ASP A 101      -4.250  23.038  30.875  1.00  1.84           C\nATOM    775  OD1 ASP A 101      -5.315  22.517  30.592  1.00  1.65           O\nATOM    776  OD2 ASP A 101      -3.289  22.831  30.187  1.00  1.65           O\nATOM    777  N   GLY A 102      -4.827  27.343  31.600  1.00  6.06           N\nATOM    778  CA  GLY A 102      -4.564  28.766  31.850  1.00  6.78           C\nATOM    779  C   GLY A 102      -4.189  29.899  30.893  1.00  4.78           C\nATOM    780  O   GLY A 102      -4.797  30.990  30.915  1.00  4.70           O\nATOM    781  N   ASN A 103      -3.194  29.603  30.071  1.00  6.08           N\nATOM    782  CA  ASN A 103      -2.659  30.551  29.085  1.00  7.32           C\nATOM    783  C   ASN A 103      -3.235  30.404  27.676  1.00  7.20           C\nATOM    784  O   ASN A 103      -2.774  31.062  26.718  1.00  8.07           O\nATOM    785  CB  ASN A 103      -1.126  30.391  28.992  1.00  6.18           C\nATOM    786  CG  ASN A 103      -0.485  30.448  30.354  1.00  3.93           C\nATOM    787  OD1 ASN A 103      -0.597  31.374  31.138  1.00  1.93           O\nATOM    788  ND2 ASN A 103       0.126  29.467  30.680  1.00  1.93           N\nATOM    789  N   GLY A 104      -4.236  29.544  27.590  1.00  6.11           N\nATOM    790  CA  GLY A 104      -4.933  29.247  26.332  1.00  3.96           C\nATOM    791  C   GLY A 104      -3.781  28.789  25.437  1.00  8.85           C\nATOM    792  O   GLY A 104      -2.788  28.199  25.915  1.00  5.70           O\nATOM    793  N   MET A 105      -3.944  29.079  24.156  1.00  7.61           N\nATOM    794  CA  MET A 105      -2.996  28.667  23.113  1.00  5.88           C\nATOM    795  C   MET A 105      -1.664  29.416  23.044  1.00  7.15           C\nATOM    796  O   MET A 105      -0.854  29.206  22.114  1.00  7.92           O\nATOM    797  CB  MET A 105      -3.645  28.821  21.715  1.00  4.34           C\nATOM    798  CG  MET A 105      -4.905  27.990  21.606  1.00  7.08           C\nATOM    799  SD  MET A 105      -5.271  27.559  19.909  1.00 18.17           S\nATOM    800  CE  MET A 105      -3.740  26.779  19.481  1.00  6.97           C\nATOM    801  N   ASN A 106      -1.471  30.270  24.038  1.00  8.68           N\nATOM    802  CA  ASN A 106      -0.252  31.077  24.179  1.00  7.47           C\nATOM    803  C   ASN A 106       0.834  30.083  24.591  1.00  6.72           C\nATOM    804  O   ASN A 106       2.046  30.376  24.498  1.00  7.62           O\nATOM    805  CB  ASN A 106      -0.486  32.190  25.224  1.00  7.62           C\nATOM    806  CG  ASN A 106      -1.276  33.332  24.641  1.00  7.06           C\nATOM    807  OD1 ASN A 106      -0.738  33.911  23.498  1.00  7.11           O\nATOM    808  ND2 ASN A 106      -2.291  33.799  25.129  1.00  7.11           N\nATOM    809  N   ALA A 107       0.368  28.926  25.033  1.00  6.98           N\nATOM    810  CA  ALA A 107       1.231  27.860  25.559  1.00  5.10           C\nATOM    811  C   ALA A 107       2.097  27.357  24.404  1.00  8.17           C\nATOM    812  O   ALA A 107       3.119  26.669  24.616  1.00  5.18           O\nATOM    813  CB  ALA A 107       0.377  26.663  26.009  1.00  7.33           C\nATOM    814  N   TRP A 108       1.665  27.720  23.207  1.00  7.31           N\nATOM    815  CA  TRP A 108       2.358  27.366  21.961  1.00  9.28           C\nATOM    816  C   TRP A 108       3.015  28.582  21.305  1.00  5.67           C\nATOM    817  O   TRP A 108       2.361  29.343  20.558  1.00  7.48           O\nATOM    818  CB  TRP A 108       1.355  26.718  21.008  1.00  6.86           C\nATOM    819  CG  TRP A 108       0.976  25.223  21.328  1.00  5.39           C\nATOM    820  CD1 TRP A 108       1.697  24.108  21.145  1.00  6.33           C\nATOM    821  CD2 TRP A 108      -0.209  24.797  21.936  1.00  7.37           C\nATOM    822  NE1 TRP A 108       0.928  22.954  21.572  1.00  4.99           N\nATOM    823  CE2 TRP A 108      -0.166  23.379  22.073  1.00  7.20           C\nATOM    824  CE3 TRP A 108      -1.317  25.481  22.381  1.00  7.15           C\nATOM    825  CZ2 TRP A 108      -1.172  22.592  22.641  1.00  6.46           C\nATOM    826  CZ3 TRP A 108      -2.333  24.676  22.939  1.00  5.13           C\nATOM    827  CH2 TRP A 108      -2.242  23.301  23.098  1.00  2.03           C\nATOM    828  N   VAL A 109       4.298  28.728  21.599  1.00  8.54           N\nATOM    829  CA  VAL A 109       5.094  29.887  21.171  1.00  9.58           C\nATOM    830  C   VAL A 109       4.820  30.215  19.703  1.00  7.44           C\nATOM    831  O   VAL A 109       4.593  31.388  19.336  1.00  6.20           O\nATOM    832  CB  VAL A 109       6.575  29.603  21.382  1.00  4.40           C\nATOM    833  CG1 VAL A 109       7.011  28.150  21.068  1.00  1.47           C\nATOM    834  CG2 VAL A 109       7.449  30.625  20.703  1.00  1.47           C\nATOM    835  N   ALA A 110       4.844  29.162  18.902  1.00  8.96           N\nATOM    836  CA  ALA A 110       4.474  29.226  17.483  1.00  4.99           C\nATOM    837  C   ALA A 110       3.117  29.809  17.086  1.00  2.95           C\nATOM    838  O   ALA A 110       3.007  30.579  16.107  1.00  6.61           O\nATOM    839  CB  ALA A 110       4.465  27.760  17.017  1.00  4.32           C\nATOM    840  N   TRP A 111       2.117  29.427  17.865  1.00  7.57           N\nATOM    841  CA  TRP A 111       0.732  29.873  17.670  1.00  7.22           C\nATOM    842  C   TRP A 111       0.717  31.377  17.949  1.00  9.33           C\nATOM    843  O   TRP A 111       0.276  32.185  17.103  1.00  8.72           O\nATOM    844  CB  TRP A 111      -0.178  29.073  18.602  1.00  5.03           C\nATOM    845  CG  TRP A 111      -1.496  29.887  18.321  1.00  4.63           C\nATOM    846  CD1 TRP A 111      -2.359  29.778  17.300  1.00  5.21           C\nATOM    847  CD2 TRP A 111      -2.041  30.866  19.157  1.00  8.52           C\nATOM    848  NE1 TRP A 111      -3.421  30.755  17.453  1.00  6.30           N\nATOM    849  CE2 TRP A 111      -3.243  31.351  18.566  1.00  7.60           C\nATOM    850  CE3 TRP A 111      -1.624  31.390  20.359  1.00  6.13           C\nATOM    851  CZ2 TRP A 111      -4.071  32.336  19.114  1.00  5.88           C\nATOM    852  CZ3 TRP A 111      -2.458  32.393  20.896  1.00  5.14           C\nATOM    853  CH2 TRP A 111      -3.647  32.814  20.318  1.00  5.53           C\nATOM    854  N   ARG A 112       1.206  31.713  19.134  1.00  6.14           N\nATOM    855  CA  ARG A 112       1.321  33.104  19.591  1.00  7.16           C\nATOM    856  C   ARG A 112       1.993  34.098  18.643  1.00 13.00           C\nATOM    857  O   ARG A 112       1.458  35.195  18.374  1.00  5.49           O\nATOM    858  CB  ARG A 112       2.129  33.197  20.901  1.00  8.48           C\nATOM    859  CG  ARG A 112       2.323  34.631  21.428  1.00  4.24           C\nATOM    860  CD  ARG A 112       3.227  34.620  22.645  1.00  6.36           C\nATOM    861  NE  ARG A 112       3.352  33.262  23.200  1.00  6.55           N\nATOM    862  CZ  ARG A 112       4.533  32.711  23.554  1.00  1.38           C\nATOM    863  NH1 ARG A 112       5.690  33.338  23.294  1.00  3.69           N\nATOM    864  NH2 ARG A 112       4.535  31.543  24.171  1.00  3.69           N\nATOM    865  N   ASN A 113       3.152  33.682  18.156  1.00  7.37           N\nATOM    866  CA  ASN A 113       3.974  34.485  17.242  1.00  4.17           C\nATOM    867  C   ASN A 113       3.701  34.537  15.738  1.00  4.05           C\nATOM    868  O   ASN A 113       4.036  35.528  15.055  1.00  9.08           O\nATOM    869  CB  ASN A 113       5.448  34.033  17.339  1.00  2.99           C\nATOM    870  CG  ASN A 113       6.091  34.527  18.608  1.00  7.81           C\nATOM    871  OD1 ASN A 113       5.666  35.439  19.295  1.00  6.54           O\nATOM    872  ND2 ASN A 113       7.211  33.819  19.025  1.00  6.54           N\nATOM    873  N   ARG A 114       3.090  33.463  15.264  1.00 10.46           N\nATOM    874  CA  ARG A 114       2.707  33.315  13.854  1.00  8.35           C\nATOM    875  C   ARG A 114       1.272  33.006  13.425  1.00  9.44           C\nATOM    876  O   ARG A 114       0.968  32.904  12.216  1.00  7.58           O\nATOM    877  CB  ARG A 114       3.494  32.174  13.177  1.00  7.04           C\nATOM    878  CG  ARG A 114       4.864  31.879  13.816  1.00  4.86           C\nATOM    879  CD  ARG A 114       5.576  30.787  13.041  1.00  4.76           C\nATOM    880  NE  ARG A 114       5.894  31.230  11.674  1.00 10.02           N\nATOM    881  CZ  ARG A 114       6.600  30.482  10.797  1.00  3.54           C\nATOM    882  NH1 ARG A 114       7.459  29.545  11.227  1.00  4.40           N\nATOM    883  NH2 ARG A 114       6.427  30.680   9.502  1.00  4.40           N\nATOM    884  N   CYS A 115       0.424  32.870  14.433  1.00  3.86           N\nATOM    885  CA  CYS A 115      -0.977  32.469  14.254  1.00  5.72           C\nATOM    886  C   CYS A 115      -1.939  33.510  14.827  1.00  8.42           C\nATOM    887  O   CYS A 115      -2.800  34.059  14.105  1.00 10.34           O\nATOM    888  CB  CYS A 115      -1.473  31.102  14.660  1.00  8.91           C\nATOM    889  SG  CYS A 115      -0.692  29.682  13.829  1.00 17.65           S\nATOM    890  N   LYS A 116      -1.762  33.759  16.116  1.00 13.98           N\nATOM    891  CA  LYS A 116      -2.486  34.814  16.838  1.00  6.58           C\nATOM    892  C   LYS A 116      -2.683  36.087  16.014  1.00  9.01           C\nATOM    893  O   LYS A 116      -1.707  36.766  15.631  1.00  7.10           O\nATOM    894  CB  LYS A 116      -1.752  35.214  18.113  1.00  3.17           C\nATOM    895  CG  LYS A 116      -2.639  35.792  19.199  1.00  5.97           C\nATOM    896  CD  LYS A 116      -2.044  35.546  20.581  1.00  4.24           C\nATOM    897  CE  LYS A 116      -2.520  36.581  21.588  1.00  5.25           C\nATOM    898  NZ  LYS A 116      -1.714  36.521  22.827  1.00  7.60           N\nATOM    899  N   GLY A 117      -3.951  36.379  15.766  1.00  5.56           N\nATOM    900  CA  GLY A 117      -4.378  37.635  15.138  1.00  5.29           C\nATOM    901  C   GLY A 117      -4.172  37.815  13.634  1.00  4.38           C\nATOM    902  O   GLY A 117      -3.896  38.934  13.149  1.00  5.66           O\nATOM    903  N   THR A 118      -4.318  36.702  12.932  1.00  7.50           N\nATOM    904  CA  THR A 118      -4.023  36.614  11.496  1.00  5.50           C\nATOM    905  C   THR A 118      -5.438  36.035  11.459  1.00  8.63           C\nATOM    906  O   THR A 118      -6.058  35.778  12.513  1.00  8.51           O\nATOM    907  CB  THR A 118      -2.752  35.756  11.344  1.00  4.45           C\nATOM    908  OG1 THR A 118      -3.207  34.423  11.555  1.00  7.81           O\nATOM    909  CG2 THR A 118      -1.690  36.117  12.347  1.00  6.13           C\nATOM    910  N   ASP A 119      -5.909  35.841  10.237  1.00  7.42           N\nATOM    911  CA  ASP A 119      -7.293  35.432   9.966  1.00  3.26           C\nATOM    912  C   ASP A 119      -6.909  33.976   9.700  1.00  6.67           C\nATOM    913  O   ASP A 119      -6.432  33.626   8.599  1.00  8.90           O\nATOM    914  CB  ASP A 119      -7.860  36.269   8.799  1.00  3.54           C\nATOM    915  CG  ASP A 119      -8.096  35.418   7.580  1.00  6.73           C\nATOM    916  OD1 ASP A 119      -9.160  35.320   6.994  1.00  1.85           O\nATOM    917  OD2 ASP A 119      -7.128  34.853   7.148  1.00  1.85           O\nATOM    918  N   VAL A 120      -7.134  33.163  10.721  1.00  5.88           N\nATOM    919  CA  VAL A 120      -6.730  31.751  10.726  1.00  6.10           C\nATOM    920  C   VAL A 120      -7.663  30.801   9.977  1.00  5.79           C\nATOM    921  O   VAL A 120      -7.279  29.664   9.623  1.00  5.29           O\nATOM    922  CB  VAL A 120      -6.614  31.252  12.160  1.00  5.76           C\nATOM    923  CG1 VAL A 120      -5.449  31.869  12.972  1.00  4.65           C\nATOM    924  CG2 VAL A 120      -7.927  31.324  12.894  1.00  4.65           C\nATOM    925  N   GLN A 121      -8.870  31.296   9.750  1.00  5.19           N\nATOM    926  CA  GLN A 121      -9.825  30.681   8.823  1.00  6.02           C\nATOM    927  C   GLN A 121      -9.328  30.237   7.452  1.00  6.68           C\nATOM    928  O   GLN A 121      -9.892  29.314   6.827  1.00  5.82           O\nATOM    929  CB  GLN A 121     -10.949  31.655   8.600  1.00  6.94           C\nATOM    930  CG  GLN A 121     -11.879  31.743   9.729  1.00  1.72           C\nATOM    931  CD  GLN A 121     -13.137  32.586   9.474  1.00  0.91           C\nATOM    932  OE1 GLN A 121     -14.225  32.236  10.048  1.00  2.30           O\nATOM    933  NE2 GLN A 121     -13.029  33.623   8.757  1.00  2.30           N\nATOM    934  N   ALA A 122      -8.270  30.906   7.020  1.00  7.87           N\nATOM    935  CA  ALA A 122      -7.629  30.645   5.725  1.00  7.72           C\nATOM    936  C   ALA A 122      -7.007  29.250   5.645  1.00  6.20           C\nATOM    937  O   ALA A 122      -6.693  28.747   4.544  1.00  5.55           O\nATOM    938  CB  ALA A 122      -6.469  31.642   5.564  1.00  2.87           C\nATOM    939  N   TRP A 123      -6.851  28.660   6.819  1.00  5.88           N\nATOM    940  CA  TRP A 123      -6.268  27.322   6.975  1.00  6.99           C\nATOM    941  C   TRP A 123      -7.232  26.167   6.703  1.00  9.22           C\nATOM    942  O   TRP A 123      -6.815  25.056   6.309  1.00  6.32           O\nATOM    943  CB  TRP A 123      -5.714  27.188   8.393  1.00  4.93           C\nATOM    944  CG  TRP A 123      -4.401  28.049   8.492  1.00  6.07           C\nATOM    945  CD1 TRP A 123      -4.165  29.156   9.207  1.00  6.33           C\nATOM    946  CD2 TRP A 123      -3.187  27.756   7.863  1.00  5.36           C\nATOM    947  NE1 TRP A 123      -2.809  29.614   8.969  1.00  6.66           N\nATOM    948  CE2 TRP A 123      -2.238  28.759   8.217  1.00  7.60           C\nATOM    949  CE3 TRP A 123      -2.804  26.736   7.023  1.00  6.01           C\nATOM    950  CZ2 TRP A 123      -0.910  28.801   7.782  1.00  3.84           C\nATOM    951  CZ3 TRP A 123      -1.467  26.796   6.578  1.00  5.99           C\nATOM    952  CH2 TRP A 123      -0.553  27.762   6.976  1.00  5.99           C\nATOM    953  N   ILE A 124      -8.504  26.465   6.917  1.00  8.62           N\nATOM    954  CA  ILE A 124      -9.607  25.561   6.574  1.00  3.57           C\nATOM    955  C   ILE A 124     -10.546  25.869   5.406  1.00  4.85           C\nATOM    956  O   ILE A 124     -11.634  25.266   5.278  1.00  6.08           O\nATOM    957  CB  ILE A 124     -10.605  25.401   7.747  1.00  7.88           C\nATOM    958  CG1 ILE A 124     -11.101  26.762   8.307  1.00  3.94           C\nATOM    959  CG2 ILE A 124      -9.812  24.518   8.711  1.00  5.63           C\nATOM    960  CD1 ILE A 124     -12.219  26.630   9.363  1.00  3.97           C\nATOM    961  N   ARG A 125     -10.094  26.800   4.579  1.00  5.74           N\nATOM    962  CA  ARG A 125     -10.680  27.053   3.257  1.00  7.80           C\nATOM    963  C   ARG A 125     -10.400  25.834   2.377  1.00  4.30           C\nATOM    964  O   ARG A 125      -9.302  25.241   2.427  1.00  5.59           O\nATOM    965  CB  ARG A 125     -10.079  28.318   2.611  1.00  2.09           C\nATOM    966  CG  ARG A 125     -10.882  29.607   2.869  1.00  1.23           C\nATOM    967  CD  ARG A 125     -10.241  30.773   2.143  1.00  2.55           C\nATOM    968  NE  ARG A 125      -9.998  31.898   3.060  1.00  1.58           N\nATOM    969  CZ  ARG A 125      -9.027  32.814   2.868  1.00  1.00           C\nATOM    970  NH1 ARG A 125      -8.153  32.687   1.860  1.00  2.27           N\nATOM    971  NH2 ARG A 125      -8.950  33.847   3.688  1.00  2.27           N\nATOM    972  N   GLY A 126     -11.408  25.495   1.588  1.00  6.66           N\nATOM    973  CA  GLY A 126     -11.354  24.358   0.661  1.00  1.76           C\nATOM    974  C   GLY A 126     -11.981  23.090   1.241  1.00  5.62           C\nATOM    975  O   GLY A 126     -12.497  22.227   0.498  1.00  1.37           O\nATOM    976  N   CYS A 127     -11.923  23.014   2.562  1.00  7.45           N\nATOM    977  CA  CYS A 127     -12.328  21.822   3.316  1.00  4.38           C\nATOM    978  C   CYS A 127     -13.810  21.466   3.444  1.00  5.55           C\nATOM    979  O   CYS A 127     -14.658  22.333   3.747  1.00  5.82           O\nATOM    980  CB  CYS A 127     -11.477  21.725   4.558  1.00  1.50           C\nATOM    981  SG  CYS A 127      -9.740  22.242   4.384  1.00 14.60           S\nATOM    982  N   ARG A 128     -14.081  20.191   3.213  1.00  4.41           N\nATOM    983  CA  ARG A 128     -15.407  19.600   3.434  1.00  2.69           C\nATOM    984  C   ARG A 128     -15.228  19.414   4.941  1.00  7.31           C\nATOM    985  O   ARG A 128     -14.487  18.516   5.396  1.00  1.90           O\nATOM    986  CB  ARG A 128     -15.590  18.312   2.604  1.00  0.35           C\nATOM    987  CG  ARG A 128     -14.719  18.243   1.335  1.00  1.36           C\nATOM    988  CD  ARG A 128     -14.891  16.897   0.658  1.00  3.92           C\nATOM    989  NE  ARG A 128     -13.854  16.681  -0.364  1.00  0.25           N\nATOM    990  CZ  ARG A 128     -13.411  15.458  -0.724  1.00  0.54           C\nATOM    991  NH1 ARG A 128     -13.787  14.365  -0.047  1.00  2.81           N\nATOM    992  NH2 ARG A 128     -12.600  15.351  -1.762  1.00  2.81           N\nATOM    993  N   LEU A 129     -15.920  20.270   5.677  1.00  1.46           N\nATOM    994  CA  LEU A 129     -15.930  20.242   7.145  1.00  6.53           C\nATOM    995  C   LEU A 129     -17.437  20.359   7.380  1.00  8.26           C\nATOM    996  O   LEU A 129     -18.187  20.864   6.516  1.00  4.34           O\nATOM    997  CB  LEU A 129     -15.086  21.404   7.703  1.00  4.41           C\nATOM    998  CG  LEU A 129     -13.595  21.390   7.436  1.00  3.74           C\nATOM    999  CD1 LEU A 129     -12.954  22.586   8.097  1.00  3.02           C\nATOM   1000  CD2 LEU A 129     -12.974  20.117   7.959  1.00  3.02           C\nATOM   1001  OXT LEU A 129     -17.840  19.891   8.551  1.00  4.69           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.000",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.500",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.575",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.930",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-GUIN-6LYZ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of hen egg-white lysozyme (PDB 6LYZ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.60 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "inputs": [
    {
     "name": "6LYZ-heavy-atoms.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1001\n6LYZ chains A, non-hydrogen ATOM records (main alternate location), angstrom\nN 3.28700000 10.09200000 10.32900000\nC 2.44500000 10.45700000 9.18200000\nC 2.50000000 11.97800000 9.03800000\nO 2.58800000 12.71900000 10.04100000\nC 1.00600000 9.99500000 9.38500000\nC 0.01600000 10.54600000 8.37700000\nC -1.40400000 10.09300000 8.69900000\nC -2.26900000 10.03000000 7.45100000\nN -3.55900000 9.36200000 7.73500000\nN 2.44100000 12.40400000 7.78900000\nC 2.39600000 13.82600000 7.42500000\nC 1.00300000 14.07100000 6.84600000\nO 0.71900000 13.72200000 5.67900000\nC 3.50900000 14.14200000 6.43500000\nC 3.49000000 15.58600000 5.87400000\nC 4.86400000 13.74600000 6.95900000\nN 0.17000000 14.67400000 7.67900000\nC -1.20000000 15.05200000 7.31100000\nC -1.32000000 16.15700000 6.26400000\nO -0.42200000 17.01600000 6.12800000\nC -1.94400000 15.50200000 8.55300000\nC -2.57600000 14.50900000 9.48400000\nC -3.87900000 14.18200000 9.31200000\nC -1.85400000 13.86200000 10.45400000\nC -4.53300000 13.23500000 10.15300000\nC -2.51100000 12.87600000 11.26700000\nC -3.82300000 12.61100000 11.12500000\nN -2.43400000 16.10900000 5.55200000\nC -2.79700000 17.12800000 4.55900000\nC -3.51200000 18.19900000 5.38500000\nO -4.15300000 17.89700000 6.41400000\nN -3.38400000 19.42600000 4.90400000\nC -3.97900000 20.60600000 5.54600000\nC -5.42900000 20.27700000 5.90300000\nO -5.81900000 20.28600000 7.09100000\nC -3.93600000 21.83200000 4.61300000\nC -4.77600000 23.03000000 5.09600000\nC -4.60000000 24.20200000 4.15100000\nN -5.72000000 24.28800000 3.19900000\nC -6.89900000 24.87900000 3.49100000\nN -7.40100000 24.83800000 4.73300000\nN -7.55300000 25.50800000 2.53100000\nN -6.19000000 19.98900000 4.85900000\nC -7.58800000 19.55700000 4.97900000\nC -7.97900000 18.28600000 5.73400000\nO -9.00900000 18.24800000 6.44200000\nC -8.28100000 19.72200000 3.49300000\nS -9.06200000 21.20200000 2.77700000\nN -7.13900000 17.27800000 5.56500000\nC -7.29800000 15.98100000 6.23300000\nC -7.22000000 16.06700000 7.75800000\nO -8.01000000 15.42600000 8.48100000\nC -6.19700000 14.97400000 5.79800000\nC -6.33100000 13.53100000 6.32700000\nC -5.10900000 12.59000000 6.00500000\nO -4.25200000 13.26300000 5.43300000\nO -5.11200000 11.43200000 6.29900000\nN -6.26700000 16.87100000 8.20500000\nC -6.06500000 17.16100000 9.62800000\nC -7.16600000 18.02700000 10.24200000\nO -7.58500000 17.81200000 11.39900000\nC -4.72100000 17.88600000 9.83400000\nC -4.36600000 18.33700000 11.23500000\nC -4.13400000 17.12900000 12.11000000\nC -3.13200000 19.20500000 11.21600000\nN -7.61000000 18.98400000 9.44200000\nC -8.68100000 19.91500000 9.82100000\nC -9.82700000 18.96900000 10.16800000\nO -10.36100000 18.99000000 11.29800000\nC -9.16400000 20.76300000 8.63300000\nN -10.17500000 18.15800000 9.18100000\nC -11.22700000 17.14300000 9.31100000\nC -11.17600000 16.30500000 10.58900000\nO -12.19800000 16.13400000 11.28900000\nC -11.03500000 16.16000000 8.14700000\nN -9.98000000 15.81100000 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     "unit": ""
    },
    {
     "label": "B",
     "value": "0.791",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.890",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.913",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-GUIN-1EHZ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of yeast tRNA-Phe (PDB 1EHZ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.40 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "inputs": [
    {
     "name": "1EHZ-heavy-atoms.xyz",
     "format": "xyz",
     "unit": "angstrom",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.449",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.766",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.847",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.875",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-GUIN-1BNA",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of the B-DNA dodecamer duplex (PDB 1BNA, chains AB). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.70 nm⁻¹?",
   "scope": "等权点散射体（两条链）；非实测 SAXS。",
   "inputs": [
    {
     "name": "1BNA-heavy-atoms.xyz",
     "format": "xyz",
     "unit": "angstrom",
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   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1AON",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1AON-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1AON-residue-points.xyz",
     "sha256": "d3587366c916dbd2e00b65dd08078d3c6fff2b4a27f88566b2a14d5961086d70",
     "chars": 197978
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "7.86",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "11.21",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "20.30",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "27.44",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1AON",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1AON-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1AON-residue-points.xyz",
     "sha256": "d3587366c916dbd2e00b65dd08078d3c6fff2b4a27f88566b2a14d5961086d70",
     "chars": 197978
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4.88",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "6.84",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "8.83",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "27.44",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-1AON",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the GroEL–GroES chaperonin complex (PDB 1AON). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.15 nm⁻¹?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1AON-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1AON-residue-points.xyz",
     "sha256": "d3587366c916dbd2e00b65dd08078d3c6fff2b4a27f88566b2a14d5961086d70",
     "chars": 197978
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.349",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.462",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.649",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.704",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1KX5",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "inputs": [
    {
     "name": "1KX5-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1266\n1KX5 nucleosome core particle NCP147: one point per residue (protein CA as C, nucleic-acid P as P), deposited model, angstrom\nP 17.935 138.346 27.497\nP 12.194 138.674 23.960\nP 9.330 136.107 18.600\nP 9.076 132.205 13.158\nP 11.200 126.881 9.610\nP 13.677 120.623 11.069\nP 18.209 117.049 14.993\nP 17.951 113.954 20.920\nP 15.753 112.014 26.487\nP 10.559 109.373 29.505\nP 4.210 108.368 31.043\nP -0.372 105.022 27.943\nP -3.192 101.954 23.260\nP -3.527 97.844 17.906\nP -0.724 94.668 12.685\nP 3.843 90.660 11.284\nP 10.307 88.952 10.935\nP 13.793 86.969 16.563\nP 13.246 84.984 23.007\nP 10.039 80.600 26.758\nP 5.881 76.416 28.940\nP 3.810 69.356 27.548\nP 2.284 64.471 23.186\nP 5.545 60.444 19.592\nP 10.108 58.020 15.543\nP 15.564 57.619 12.510\nP 22.165 58.948 11.216\nP 26.763 63.131 14.504\nP 28.251 65.213 20.755\nP 30.327 62.765 26.471\nP 30.936 57.776 30.916\nP 32.329 51.887 33.053\nP 33.861 45.651 31.658\nP 39.546 42.861 28.655\nP 43.447 42.160 23.258\nP 48.132 44.862 19.258\nP 50.947 50.291 16.429\nP 53.192 56.302 16.900\nP 53.235 62.765 19.536\nP 56.548 64.975 24.811\nP 58.795 64.234 31.228\nP 63.954 61.488 34.367\nP 70.452 59.670 33.687\nP 75.855 59.208 29.902\nP 79.245 60.789 24.818\nP 80.342 62.623 18.390\nP 79.484 67.978 14.621\nP 75.640 73.682 13.426\nP 74.055 79.121 16.577\nP 74.191 83.259 21.870\nP 77.476 85.981 27.067\nP 83.139 88.371 28.911\nP 89.827 88.849 28.114\nP 94.583 90.589 23.712\nP 96.920 94.881 21.271\nP 96.756 96.475 14.286\nP 93.842 100.404 9.983\nP 88.424 102.415 7.040\nP 81.450 102.119 7.509\nP 77.085 105.172 11.513\nP 75.201 108.405 17.429\nP 76.357 114.010 20.618\nP 78.656 120.439 20.712\nP 80.189 125.771 17.282\nP 79.968 129.831 12.048\nP 76.796 131.709 6.735\nP 72.567 130.841 1.860\nP 68.935 126.404 -1.958\nP 63.227 123.325 -0.790\nP 58.581 121.112 3.466\nP 54.734 122.415 9.007\nP 50.881 127.528 10.949\nP 49.306 134.005 11.761\nP 46.776 138.935 8.220\nP 43.498 140.834 2.779\nP 40.540 140.162 -3.320\nP 37.044 136.824 -7.601\nP 35.805 131.129 -11.469\nP 33.170 125.398 -9.787\nP 33.743 120.311 -4.952\nP 28.994 118.938 -0.186\nP 24.643 120.987 4.826\nP 18.547 123.802 5.522\nP 12.713 125.087 2.515\nP 8.537 124.069 -2.259\nP 5.823 121.992 -8.051\nP 5.657 116.671 -11.802\nP 7.193 110.580 -13.184\nP 11.954 105.883 -12.556\nP 14.662 101.259 -8.624\nP 14.742 99.337 -1.972\nP 10.369 97.565 2.845\nP 4.681 94.855 4.393\nP 0.149 90.416 3.178\nP -1.553 85.219 -0.520\nP -1.788 81.453 -5.672\nP 1.147 77.199 -9.892\nP 5.764 75.656 -14.808\nP 12.052 74.040 -14.554\nP 18.493 76.064 -12.857\nP 21.730 74.203 -7.453\nP 21.821 72.729 -0.663\nP 20.465 67.009 2.725\nP 17.087 61.211 4.367\nP 17.911 54.809 2.579\nP 20.231 49.755 -1.349\nP 23.118 47.720 -7.011\nP 28.967 47.538 -9.683\nP 34.718 49.987 -12.343\nP 39.133 55.477 -11.797\nP 42.909 57.267 -6.379\nP 44.460 57.292 0.065\nP 44.643 53.275 5.833\nP 47.440 48.011 8.078\nP 52.589 43.965 6.890\nP 57.107 40.040 3.769\nP 61.688 40.786 -0.992\nP 65.447 43.810 -5.698\nP 66.611 49.335 -8.938\nP 66.729 56.060 -9.031\nP 67.122 61.788 -6.244\nP 67.216 66.162 -0.847\nP 70.970 66.784 4.818\nP 76.388 65.035 8.419\nP 82.500 64.542 8.158\nP 88.511 63.884 5.300\nP 92.098 65.513 -0.178\nP 93.123 68.992 -5.444\nP 91.307 72.323 -11.213\nP 86.548 76.222 -13.912\nP 82.748 81.387 -13.970\nP 78.709 86.450 -11.327\nP 79.759 91.216 -7.072\nP 82.788 93.799 -1.560\nP 88.449 97.586 -1.610\nP 93.318 100.860 -4.636\nP 96.915 103.472 -9.241\nP 96.664 106.634 -15.054\nP 92.426 109.787 -19.244\nP 86.258 109.894 -22.564\nP 80.264 112.279 -21.017\nP 75.173 113.389 -16.960\nP 73.159 116.302 -11.420\nP 74.015 121.040 -6.913\nP 76.052 127.427 -6.192\nP 80.445 132.642 -6.101\nP 81.440 128.440 -23.556\nP 86.794 128.127 -20.487\nP 89.110 124.979 -15.065\nP 89.296 123.670 -8.209\nP 86.311 119.601 -3.877\nP 82.653 113.729 -3.989\nP 77.772 110.009 -7.046\nP 77.124 105.656 -11.821\nP 79.002 102.047 -16.842\nP 83.459 99.033 -20.898\nP 88.961 95.575 -21.580\nP 93.830 92.970 -17.879\nP 96.393 89.955 -12.737\nP 96.121 86.642 -7.064\nP 93.517 85.541 -0.729\nP 88.113 83.468 1.987\nP 80.986 83.498 1.851\nP 77.456 79.891 -2.604\nP 77.347 75.823 -8.305\nP 79.899 70.978 -11.464\nP 82.745 65.046 -12.385\nP 83.963 59.375 -9.614\nP 84.531 55.180 -4.391\nP 81.823 52.679 0.934\nP 77.004 52.043 5.223\nP 71.013 52.391 7.686\nP 65.181 55.985 8.972\nP 61.406 59.416 4.584\nP 59.607 60.402 -1.690\nP 57.412 57.055 -6.733\nP 56.185 51.495 -10.328\nP 54.287 45.078 -10.744\nP 50.550 40.106 -7.939\nP 45.810 38.195 -3.862\nP 41.030 39.816 0.063\nP 37.311 44.136 3.800\nP 35.700 50.498 5.301\nP 34.258 56.377 3.338\nP 34.915 61.924 -0.775\nP 31.589 63.249 -6.360\nP 29.076 61.318 -12.598\nP 23.494 58.097 -14.815\nP 17.114 57.274 -13.359\nP 11.757 58.781 -9.607\nP 8.893 62.168 -4.865\nP 9.018 65.415 1.318\nP 9.973 71.978 2.309\nP 14.594 77.076 2.486\nP 16.751 81.426 -1.836\nP 17.204 84.153 -7.888\nP 14.015 85.921 -13.723\nP 8.365 88.767 -15.030\nP 2.225 90.974 -14.689\nP -1.928 94.445 -12.272\nP -3.486 99.349 -8.358\nP -2.890 103.255 -3.272\nP 0.758 106.690 0.766\nP 6.590 108.002 3.668\nP 13.461 106.527 3.087\nP 17.668 107.965 -1.948\nP 19.383 109.474 -8.374\nP 18.318 113.821 -13.129\nP 18.587 120.572 -14.119\nP 18.102 126.787 -12.179\nP 17.921 131.948 -7.951\nP 21.450 134.574 -3.039\nP 25.771 134.218 1.979\nP 29.192 130.331 6.598\nP 34.396 126.421 6.115\nP 38.511 122.557 2.550\nP 42.132 122.127 -3.401\nP 45.955 125.795 -7.296\nP 49.733 131.221 -8.143\nP 53.006 136.290 -5.798\nP 56.259 139.424 -1.039\nP 59.209 139.550 4.825\nP 62.078 137.013 9.955\nP 62.091 132.184 15.023\nP 63.843 125.864 14.990\nP 62.873 119.915 11.433\nP 67.398 116.865 7.003\nP 72.115 117.058 1.968\nP 78.482 118.805 0.865\nP 84.415 119.965 3.546\nP 88.299 119.613 9.057\nP 90.775 118.158 14.826\nP 89.370 114.444 20.318\nP 87.226 108.849 22.836\nP 81.249 105.033 23.234\nP 79.362 99.406 20.164\nP 78.744 96.593 13.773\nP 82.705 92.829 9.830\nP 88.059 89.051 9.236\nP 91.813 84.740 11.155\nP 93.441 80.651 15.436\nP 91.750 76.964 20.547\nP 89.961 75.479 26.964\nP 83.981 74.699 31.079\nP 77.516 74.424 30.683\nP 71.432 76.475 28.274\nP 67.982 73.961 23.446\nP 67.933 71.497 16.860\nP 69.162 65.163 14.886\nP 70.437 58.372 15.448\nP 69.272 53.106 19.031\nP 67.527 49.435 24.426\nP 63.137 49.294 29.571\nP 57.485 50.853 32.240\nP 51.862 54.393 33.555\nP 48.067 59.793 31.628\nP 44.766 60.672 25.656\nP 43.295 59.424 19.431\nP 41.796 54.668 14.938\nP 38.284 49.105 14.200\nP 33.365 45.581 16.132\nP 27.998 43.956 19.495\nP 23.307 46.250 23.849\nP 20.263 50.741 27.568\nP 19.737 57.356 29.920\nP 21.031 63.646 28.606\nP 21.462 68.553 24.595\nP 21.875 71.805 18.463\nP 18.364 71.482 12.639\nP 12.693 70.125 9.480\nP 6.214 70.247 9.752\nP 0.187 70.697 12.350\nP -3.069 74.578 16.557\nP -3.621 79.585 20.898\nP -1.353 83.621 25.802\nP 4.426 87.096 28.629\nP 9.123 91.511 27.521\nP 13.789 95.307 24.021\nP 13.504 99.112 18.720\nP 10.897 100.679 12.409\nP 5.998 105.188 11.095\nP 2.179 109.996 13.143\nP -1.582 113.567 17.008\nP -0.720 118.379 21.310\nP 3.011 121.415 26.361\nP 9.017 122.013 29.513\nP 15.760 122.112 28.225\nP 21.007 121.663 23.983\nP 23.682 123.030 18.115\nP 23.654 126.912 12.659\nP 22.367 133.131 10.351\nP 19.312 139.004 9.454\nC 106.912 133.801 -29.864\nC 109.230 133.643 -26.850\nC 109.524 131.074 -24.045\nC 108.946 133.453 -21.150\nC 105.457 134.098 -19.767\nC 105.430 130.611 -18.300\nC 109.020 129.421 -17.896\nC 106.945 127.390 -15.475\nC 109.583 124.661 -15.235\nC 108.552 121.287 -16.660\nC 106.963 119.496 -13.711\nC 106.647 119.961 -9.956\nC 103.588 120.999 -8.000\nC 105.766 122.349 -5.205\nC 104.923 125.951 -4.308\nC 108.041 126.995 -2.317\nC 109.881 126.619 -5.630\nC 113.558 126.590 -6.606\nC 114.986 128.245 -3.470\nC 114.696 127.139 0.165\nC 111.398 126.515 1.961\nC 109.456 123.278 1.472\nC 105.917 123.600 2.831\nC 102.787 121.646 1.905\nC 101.474 124.514 -0.221\nC 99.897 123.909 -3.628\nC 96.864 126.039 -4.507\nC 94.641 126.499 -1.457\nC 95.496 128.135 1.866\nC 99.091 127.670 3.103\nC 98.128 130.109 5.856\nC 95.572 129.565 8.626\nC 92.130 131.131 8.350\nC 89.923 131.293 5.264\nC 89.501 129.497 1.943\nC 87.644 131.466 -0.802\nC 84.260 129.756 -1.223\nC 84.907 126.021 -0.687\nC 82.715 123.557 -2.555\nC 79.203 122.811 -1.289\nC 76.405 120.741 -2.797\nC 72.951 122.276 -2.331\nC 70.605 120.956 0.405\nC 68.865 117.965 -1.147\nC 71.537 117.043 -3.674\nC 73.315 114.672 -1.311\nC 70.038 113.349 0.138\nC 69.068 112.375 -3.448\nC 72.482 110.780 -3.992\nC 71.957 108.686 -0.815\nC 68.469 107.582 -1.874\nC 69.969 106.328 -5.157\nC 72.892 104.630 -3.384\nC 70.712 102.796 -0.867\nC 67.972 101.805 -3.286\nC 70.611 100.112 -5.376\nC 72.122 98.053 -2.545\nC 70.691 95.364 -0.273\nC 73.010 95.448 2.744\nC 71.458 95.785 6.186\nC 71.488 99.422 7.325\nC 71.341 99.164 11.123\nC 74.610 98.104 12.851\nC 74.708 94.423 13.794\nC 75.824 94.565 17.440\nC 73.522 97.376 18.535\nC 70.644 95.486 16.893\nC 71.574 92.208 18.520\nC 71.601 93.958 21.905\nC 68.147 95.403 21.374\nC 66.746 92.001 20.408\nC 68.244 90.233 23.454\nC 66.960 92.966 25.756\nC 63.415 92.732 24.395\nC 63.413 88.917 24.570\nC 64.678 88.950 28.194\nC 61.334 90.592 29.065\nC 59.464 87.484 27.913\nC 61.866 84.737 28.987\nC 65.187 85.085 30.796\nC 68.400 83.300 29.918\nC 67.638 82.723 26.270\nC 70.239 82.058 23.632\nC 69.730 82.950 19.937\nC 70.883 81.181 16.814\nC 72.869 83.753 14.791\nC 70.390 83.341 11.900\nC 67.466 84.097 14.298\nC 68.916 87.505 14.950\nC 69.630 88.012 11.244\nC 66.059 86.980 10.332\nC 64.745 89.553 12.810\nC 67.001 92.244 11.363\nC 66.059 91.452 7.746\nC 62.360 91.566 8.728\nC 62.704 94.730 10.842\nC 64.578 96.647 8.186\nC 62.191 95.596 5.410\nC 59.303 96.685 7.648\nC 60.838 100.086 8.375\nC 61.838 100.791 4.810\nC 58.305 99.989 3.540\nC 56.846 102.124 6.346\nC 59.077 105.037 5.291\nC 57.784 104.691 1.725\nC 54.187 105.041 3.061\nC 55.200 107.839 5.458\nC 56.748 109.652 2.444\nC 53.496 109.377 0.474\nC 51.686 110.922 3.496\nC 54.140 113.863 3.646\nC 53.779 114.507 -0.061\nC 50.000 114.255 0.297\nC 50.230 117.204 2.683\nC 52.355 119.116 0.140\nC 55.547 118.610 2.145\nC 58.826 116.905 1.292\nC 59.826 116.476 4.925\nC 58.502 113.431 6.763\nC 57.112 114.073 10.218\nC 55.808 111.897 13.089\nC 52.215 112.641 12.030\nC 53.038 111.040 8.658\nC 54.307 107.864 10.302\nC 51.218 107.898 12.556\nC 48.809 108.339 9.668\nC 50.433 105.502 7.728\nC 50.297 103.136 10.703\nC 46.669 104.022 11.442\nC 45.598 103.317 7.841\nC 47.603 100.101 7.797\nC 45.667 98.972 10.855\nC 48.759 98.930 13.060\nC 47.546 101.783 15.260\nC 43.926 101.353 14.287\nC 90.043 119.832 32.931\nC 86.851 121.146 31.364\nC 88.330 122.502 28.142\nC 86.633 123.237 24.839\nC 82.956 123.245 23.950\nC 83.267 121.259 20.748\nC 86.443 121.052 18.696\nC 90.019 119.790 18.931\nC 91.584 119.459 22.378\nC 90.646 116.589 24.676\nC 87.762 115.831 27.017\nC 85.588 118.213 25.010\nC 82.034 117.292 24.012\nC 81.560 113.790 22.662\nC 83.770 111.754 24.977\nC 81.984 108.753 26.501\nC 83.649 105.417 27.229\nC 81.614 102.328 28.092\nC 79.717 99.750 26.098\nC 76.202 98.936 27.212\nC 75.398 96.706 30.149\nC 72.391 99.027 30.493\nC 72.716 102.147 28.312\nC 71.733 102.980 24.716\nC 70.228 99.779 23.310\nC 67.077 101.159 21.649\nC 69.084 104.371 21.685\nC 71.715 102.344 19.909\nC 69.632 102.384 16.724\nC 71.274 105.586 15.579\nC 69.997 108.654 13.805\nC 72.315 107.749 10.891\nC 70.984 104.202 10.571\nC 67.389 105.539 10.605\nC 68.294 108.119 7.963\nC 69.741 105.318 5.825\nC 66.564 103.243 6.209\nC 64.540 106.302 5.203\nC 66.762 106.862 2.133\nC 66.198 103.313 0.965\nC 62.506 104.147 1.525\nC 62.869 107.144 -0.854\nC 62.771 109.878 1.790\nC 64.606 113.155 0.982\nC 64.047 115.287 4.086\nC 63.544 114.240 7.687\nC 62.045 115.990 10.709\nC 64.152 116.017 13.852\nC 61.384 114.205 15.703\nC 61.350 111.229 13.304\nC 64.209 109.465 15.037\nC 62.519 108.932 18.366\nC 59.287 108.116 16.611\nC 61.044 105.440 14.561\nC 62.650 103.891 17.641\nC 59.228 103.610 19.259\nC 57.769 101.929 16.197\nC 60.723 99.590 15.830\nC 60.485 98.577 19.484\nC 56.767 97.705 19.054\nC 57.514 95.660 15.944\nC 60.248 93.671 17.717\nC 58.219 93.208 20.886\nC 55.439 91.727 18.749\nC 57.575 89.437 16.683\nC 59.878 88.376 19.545\nC 56.954 87.679 21.865\nC 55.597 85.095 19.413\nC 58.999 83.646 18.572\nC 59.705 83.102 22.273\nC 56.249 81.495 22.612\nC 57.302 78.967 19.978\nC 60.691 78.522 21.731\nC 59.046 77.735 25.061\nC 56.477 75.416 23.525\nC 59.378 73.434 22.098\nC 60.933 73.299 25.553\nC 64.034 75.017 24.109\nC 66.298 77.630 25.628\nC 67.522 78.825 22.229\nC 65.457 81.046 19.867\nC 65.846 79.574 16.393\nC 65.526 81.164 12.985\nC 62.427 78.960 12.456\nC 60.820 80.353 15.647\nC 61.312 83.799 14.092\nC 60.089 82.667 10.633\nC 56.914 81.187 12.165\nC 56.320 84.274 14.298\nC 56.740 86.530 11.242\nC 54.394 84.426 9.141\nC 51.547 84.507 11.660\nC 51.956 88.312 11.906\nC 51.456 88.525 8.119\nC 55.121 89.228 7.404\nC 56.332 86.013 5.728\nC 60.103 86.098 5.327\nC 61.946 83.978 2.750\nC 65.562 82.932 3.119\nC 65.723 81.448 6.592\nC 64.050 78.040 6.436\nC 67.153 75.878 6.261\nC 40.565 42.872 34.404\nC 39.740 40.282 31.762\nC 36.505 41.143 29.965\nC 34.098 38.821 31.764\nC 31.308 41.004 33.132\nC 30.887 44.254 35.064\nC 28.289 45.866 37.308\nC 27.490 49.196 38.916\nC 27.789 52.779 37.707\nC 29.711 55.415 39.632\nC 32.011 56.844 36.981\nC 29.074 58.499 35.247\nC 26.946 56.939 32.496\nC 24.884 60.101 32.775\nC 27.899 62.330 33.386\nC 29.043 64.360 30.397\nC 32.666 65.348 29.980\nC 31.335 68.908 30.166\nC 29.902 68.330 33.676\nC 33.113 66.533 34.556\nC 35.162 69.589 33.484\nC 32.727 72.058 35.107\nC 31.698 73.512 31.752\nC 28.593 74.723 29.962\nC 30.063 74.374 26.449\nC 30.053 70.811 24.975\nC 33.309 68.920 25.394\nC 32.060 65.987 23.342\nC 31.147 68.184 20.360\nC 34.385 70.139 20.514\nC 36.315 66.813 20.536\nC 34.412 65.602 17.473\nC 34.871 68.867 15.592\nC 38.640 68.808 16.345\nC 38.800 65.290 14.885\nC 36.610 66.164 11.881\nC 38.724 69.183 10.913\nC 41.987 67.406 10.115\nC 44.106 69.389 12.497\nC 46.302 66.447 13.569\nC 46.329 62.677 13.409\nC 45.493 62.526 17.123\nC 43.597 64.702 19.628\nC 44.290 64.204 23.316\nC 41.434 64.020 25.841\nC 42.348 67.329 27.454\nC 42.427 69.360 24.229\nC 38.655 69.631 23.718\nC 38.211 70.369 27.411\nC 40.675 73.235 27.316\nC 39.262 74.528 24.035\nC 35.610 74.357 25.208\nC 36.581 76.240 28.421\nC 38.264 78.988 26.324\nC 35.294 79.335 23.941\nC 32.943 79.474 26.906\nC 35.094 82.120 28.558\nC 35.210 84.355 25.453\nC 31.480 83.932 24.967\nC 30.886 85.065 28.565\nC 33.109 88.123 28.048\nC 31.354 89.314 24.915\nC 27.904 88.637 26.349\nC 28.740 90.468 29.581\nC 29.797 93.608 27.681\nC 26.974 93.258 25.106\nC 24.276 92.951 27.763\nC 25.780 96.096 29.286\nC 25.441 97.899 25.918\nC 21.802 96.751 25.627\nC 21.113 98.023 29.178\nC 22.865 101.349 28.391\nC 20.498 101.710 25.397\nC 17.492 100.775 27.564\nC 16.942 97.436 25.836\nC 16.564 93.978 27.306\nC 17.296 92.034 24.154\nC 20.824 91.904 22.733\nC 20.901 92.688 18.997\nC 23.925 92.912 16.590\nC 24.367 96.568 17.385\nC 25.065 95.762 21.069\nC 27.619 93.113 20.127\nC 29.389 95.660 17.879\nC 29.319 98.341 20.589\nC 30.709 95.750 23.084\nC 33.501 94.716 20.783\nC 34.597 98.047 19.427\nC 34.593 99.787 22.801\nC 36.771 97.012 24.288\nC 40.457 97.223 23.401\nC 41.169 93.499 23.485\nC 38.001 92.193 21.782\nC 38.440 94.913 19.101\nC 41.912 93.561 18.373\nC 40.784 89.913 18.408\nC 38.023 90.868 15.955\nC 40.028 93.478 14.030\nC 39.318 91.972 10.617\nC 35.792 90.841 11.326\nC 32.572 92.570 10.319\nC 29.522 92.128 12.533\nC 26.504 92.418 10.240\nC 23.992 95.135 11.229\nC 26.486 96.392 13.741\nC 26.979 99.917 12.443\nC 29.980 101.872 13.756\nC 30.897 103.719 16.963\nC 29.778 107.398 17.089\nC 32.933 109.339 16.332\nC 33.372 112.739 14.725\nC 36.893 114.078 14.180\nC 37.487 117.210 16.311\nC 38.436 119.500 13.477\nC 35.027 118.986 11.890\nC 33.022 120.487 14.766\nC 31.950 124.103 14.453\nC 33.281 126.979 16.588\nC 34.996 130.347 16.996\nC 31.307 131.239 16.870\nC 32.157 131.068 13.169\nC 32.495 134.789 12.488\nC 35.784 135.584 10.728\nC 38.201 137.771 12.701\nC 37.201 141.241 11.511\nC 33.456 140.571 11.446\nC 32.898 138.857 8.093\nC 32.947 135.356 6.589\nC 12.119 46.937 21.698\nC 14.616 47.078 18.833\nC 15.702 49.753 16.355\nC 18.851 48.591 14.558\nC 20.195 47.392 12.235\nC 19.094 48.857 8.896\nC 17.631 50.149 6.641\nC 15.661 53.350 7.289\nC 18.740 55.255 8.528\nC 17.667 58.648 7.254\nC 13.944 57.945 7.082\nC 10.914 60.245 7.057\nC 8.588 60.859 4.118\nC 8.637 58.044 1.571\nC 6.066 58.636 -1.175\nC 3.168 59.156 1.242\nC 1.634 56.598 3.632\nC 0.923 58.487 6.859\nC -1.069 57.579 9.973\nC -1.651 60.741 12.007\nC 0.087 64.102 12.441\nC 1.651 65.669 9.352\nC 5.383 66.127 9.920\nC 9.056 65.393 9.220\nC 9.442 65.928 5.459\nC 12.242 63.538 4.456\nC 14.497 64.362 7.397\nC 16.597 67.495 7.003\nC 20.262 66.882 7.771\nC 20.895 68.466 11.156\nC 22.689 71.803 11.269\nC 24.265 72.096 14.698\nC 25.074 75.380 16.452\nC 26.370 76.732 19.725\nC 23.118 78.567 20.371\nC 21.886 76.565 23.388\nC 25.273 76.955 25.059\nC 25.577 80.627 24.197\nC 22.081 80.987 25.708\nC 23.154 79.145 28.895\nC 26.095 81.487 29.355\nC 24.021 84.575 28.653\nC 21.642 83.615 31.509\nC 24.606 83.241 33.871\nC 25.874 86.685 33.176\nC 22.676 88.611 32.460\nC 19.738 86.601 33.876\nC 17.008 88.885 32.526\nC 18.556 89.702 29.153\nC 17.528 88.014 25.953\nC 19.245 87.853 22.530\nC 17.762 88.193 19.020\nC 18.251 85.435 16.459\nC 20.506 87.723 14.358\nC 22.709 88.407 17.393\nC 22.693 84.677 18.093\nC 23.831 84.053 14.469\nC 26.667 86.544 15.121\nC 27.615 84.634 18.353\nC 27.600 81.322 16.493\nC 29.998 82.772 13.866\nC 32.205 84.138 16.638\nC 32.492 80.804 18.417\nC 33.148 78.928 15.152\nC 35.735 81.524 14.020\nC 37.705 81.378 17.300\nC 37.453 77.582 17.343\nC 38.967 77.472 13.824\nC 41.648 80.066 14.632\nC 42.784 78.307 17.799\nC 42.612 74.826 16.222\nC 44.533 75.995 13.136\nC 47.248 77.584 15.283\nC 47.434 74.363 17.408\nC 47.665 72.264 14.214\nC 50.611 74.366 12.939\nC 52.257 74.208 16.355\nC 52.010 70.410 16.392\nC 53.393 70.125 12.831\nC 56.237 72.569 13.515\nC 57.243 70.298 16.390\nC 56.720 67.072 14.471\nC 53.984 65.909 16.843\nC 50.921 64.078 15.625\nC 48.821 64.816 18.705\nC 47.133 68.082 19.604\nC 47.047 68.167 23.390\nC 45.791 70.800 25.795\nC 49.347 72.077 25.690\nC 49.078 72.976 21.970\nC 45.682 74.556 22.673\nC 47.210 76.617 25.484\nC 50.081 77.875 23.356\nC 47.708 78.592 20.415\nC 45.611 80.631 22.874\nC 48.646 82.646 23.973\nC 49.571 83.314 20.345\nC 46.063 84.253 19.270\nC 44.548 86.206 22.138\nC 45.521 89.663 23.271\nC 46.980 90.157 26.759\nC 44.326 89.961 29.465\nC 42.030 87.782 27.413\nC 44.717 85.167 26.880\nC 45.539 85.308 30.601\nC 41.988 84.635 31.746\nC 41.404 82.114 28.918\nC 44.540 80.133 29.914\nC 43.381 80.166 33.575\nC 39.891 78.838 32.701\nC 41.296 76.244 30.290\nC 43.802 74.990 32.861\nC 41.225 74.918 35.607\nC 38.897 72.908 33.402\nC 41.503 70.291 32.434\nC 42.661 69.904 36.025\nC 39.021 69.355 37.150\nC 38.307 66.989 34.294\nC 41.322 64.850 35.202\nC 40.436 64.919 38.916\nC 37.435 62.703 38.242\nC 37.187 58.886 38.127\nC 21.763 182.961 27.355\nC 19.422 185.326 25.504\nC 17.498 186.310 28.646\nC 14.159 185.758 26.897\nC 11.954 182.646 26.915\nC 11.870 179.747 24.451\nC 13.185 176.539 26.059\nC 14.858 175.616 22.766\nC 18.589 175.312 23.511\nC 20.097 171.982 24.574\nC 17.532 169.336 25.607\nC 17.364 167.479 22.302\nC 17.059 170.888 20.683\nC 20.276 172.589 19.538\nC 21.269 169.935 17.013\nC 21.301 166.131 16.874\nC 23.046 163.613 19.127\nC 19.916 161.572 19.831\nC 17.682 159.619 17.413\nC 19.773 156.466 17.802\nC 20.020 152.765 16.996\nC 19.530 150.561 13.960\nC 16.463 151.126 11.784\nC 15.141 147.759 10.587\nC 15.588 143.971 10.525\nC 13.316 142.563 13.236\nC 10.662 140.311 11.708\nC 10.363 142.036 8.335\nC 9.323 145.687 8.598\nC 9.867 146.307 4.852\nC 11.325 149.815 4.990\nC 14.730 148.450 4.115\nC 17.424 147.508 6.595\nC 17.980 143.770 6.885\nC 17.232 141.763 3.725\nC 14.696 138.898 3.966\nC 14.147 135.907 6.291\nC 13.555 132.225 5.242\nC 15.342 129.923 7.748\nC 18.587 128.196 6.718\nC 21.031 126.113 8.732\nC 24.626 127.010 7.936\nC 26.717 124.880 5.522\nC 28.023 121.986 7.570\nC 25.384 122.008 10.296\nC 23.104 119.494 8.564\nC 26.106 117.446 7.403\nC 27.126 117.091 11.092\nC 23.534 116.249 11.964\nC 23.600 113.457 9.333\nC 26.942 112.049 10.650\nC 25.366 111.748 14.119\nC 22.248 110.213 12.696\nC 23.963 107.599 10.586\nC 26.599 106.700 13.154\nC 23.807 105.868 15.613\nC 21.950 103.604 13.203\nC 22.793 100.325 11.509\nC 20.446 100.056 8.542\nC 21.979 99.507 5.102\nC 22.464 102.782 3.228\nC 22.408 101.677 -0.410\nC 18.931 100.847 -1.795\nC 18.369 97.076 -1.918\nC 17.100 96.390 -5.423\nC 19.640 98.680 -7.150\nC 22.438 96.903 -5.209\nC 20.983 93.544 -6.172\nC 21.084 94.421 -9.897\nC 24.714 95.505 -9.646\nC 25.570 92.170 -8.002\nC 23.684 90.259 -10.682\nC 25.286 92.274 -13.501\nC 28.805 91.727 -12.229\nC 28.243 88.052 -11.516\nC 26.658 87.579 -14.906\nC 29.792 88.927 -16.532\nC 31.784 86.210 -14.747\nC 29.353 83.330 -15.311\nC 25.994 83.246 -17.072\nC 22.893 81.540 -15.671\nC 23.572 82.065 -11.953\nC 20.874 82.282 -9.313\nC 21.451 83.833 -5.828\nC 20.201 82.900 -2.407\nC 18.710 86.167 -1.111\nC 20.965 85.981 2.002\nC 24.011 85.775 -0.429\nC 23.054 89.164 -1.769\nC 22.452 90.591 1.728\nC 25.887 89.211 2.795\nC 27.538 90.988 -0.137\nC 25.691 94.205 0.702\nC 26.610 94.070 4.416\nC 30.274 93.451 3.523\nC 30.315 96.092 0.796\nC 28.868 98.777 2.989\nC 31.150 97.995 5.926\nC 34.092 98.114 3.494\nC 33.047 101.505 2.096\nC 32.277 103.051 5.449\nC 35.694 102.001 6.841\nC 37.390 103.300 3.690\nC 35.614 106.657 4.062\nC 36.928 106.808 7.635\nC 40.541 106.342 6.326\nC 39.901 108.770 3.437\nC 38.644 111.410 5.911\nC 41.878 111.005 7.943\nC 43.770 111.656 4.707\nC 41.772 114.830 3.863\nC 42.338 116.060 7.418\nC 46.024 115.263 7.182\nC 46.196 117.665 4.219\nC 44.386 120.380 6.223\nC 41.082 119.884 4.447\nC 37.628 118.847 5.627\nC 36.580 117.855 2.079\nC 37.420 114.355 0.871\nC 38.718 114.115 -2.679\nC 39.670 111.224 -5.030\nC 43.356 111.570 -4.034\nC 42.464 110.900 -0.395\nC 40.699 107.667 -1.374\nC 43.697 106.753 -3.555\nC 46.207 107.406 -0.761\nC 44.215 105.290 1.760\nC 43.899 102.386 -0.700\nC 47.595 102.577 -1.496\nC 48.646 102.539 2.193\nC 46.201 99.666 2.806\nC 47.941 97.685 0.071\nC 44.820 97.528 -2.092\nC 46.587 99.495 -4.801\nC 50.372 99.640 -4.420\nC 5.323 72.575 -10.772\nC 8.363 70.626 -11.930\nC 7.912 70.839 -15.695\nC 9.739 72.942 -18.272\nC 13.183 72.158 -19.672\nC 16.290 73.712 -18.155\nC 19.698 72.607 -19.369\nC 20.856 76.110 -20.258\nC 19.141 77.299 -17.095\nC 15.437 78.124 -17.257\nC 12.766 78.777 -19.862\nC 9.312 78.028 -21.240\nC 8.086 78.711 -24.763\nC 4.593 80.146 -24.702\nC 6.093 83.494 -23.724\nC 6.919 83.243 -20.027\nC 10.635 83.596 -19.270\nC 12.157 86.955 -18.326\nC 15.660 88.415 -17.947\nC 16.257 91.762 -19.612\nC 19.793 92.916 -20.326\nC 21.602 94.259 -17.285\nC 23.749 97.308 -17.865\nC 24.942 100.457 -16.085\nC 23.695 99.286 -12.685\nC 26.716 100.879 -10.962\nC 24.714 104.119 -11.389\nC 22.209 102.544 -9.003\nC 24.799 103.357 -6.340\nC 23.523 106.968 -6.081\nC 25.051 110.221 -4.894\nC 22.672 110.257 -1.855\nC 23.623 106.684 -0.989\nC 27.360 107.413 -1.181\nC 26.849 110.589 0.843\nC 25.097 108.462 3.517\nC 27.961 105.924 3.595\nC 30.475 108.794 3.860\nC 28.411 110.293 6.759\nC 28.463 106.996 8.696\nC 32.219 107.109 7.916\nC 32.292 110.538 9.639\nC 32.796 112.642 6.510\nC 31.432 116.159 6.589\nC 32.248 117.529 3.116\nC 32.614 115.700 -0.185\nC 34.170 116.748 -3.486\nC 32.088 116.272 -6.619\nC 34.464 113.704 -8.097\nC 34.093 111.396 -5.083\nC 30.962 109.721 -6.382\nC 32.399 108.214 -9.538\nC 35.586 107.322 -7.664\nC 33.525 105.455 -5.035\nC 31.572 103.564 -7.694\nC 34.881 102.480 -9.258\nC 36.216 101.265 -5.879\nC 32.994 99.413 -5.078\nC 33.003 97.747 -8.481\nC 36.499 96.413 -7.875\nC 35.524 95.281 -4.386\nC 32.431 93.475 -5.688\nC 34.188 91.937 -8.701\nC 36.789 90.433 -6.386\nC 34.431 88.930 -3.826\nC 31.928 87.731 -6.405\nC 34.728 86.171 -8.514\nC 35.793 83.996 -5.555\nC 32.199 83.275 -4.456\nC 31.292 82.032 -7.904\nC 34.468 79.943 -8.016\nC 33.256 78.223 -4.815\nC 29.767 77.845 -6.384\nC 31.127 76.252 -9.579\nC 33.509 73.956 -7.709\nC 30.518 72.620 -5.811\nC 28.702 72.079 -9.124\nC 25.915 74.422 -8.108\nC 24.161 77.062 -10.201\nC 23.089 79.098 -7.137\nC 25.476 81.339 -5.192\nC 24.947 80.679 -1.496\nC 25.473 82.958 1.454\nC 28.191 80.462 2.415\nC 29.993 80.931 -0.930\nC 30.088 84.692 -0.138\nC 31.191 84.166 3.499\nC 34.084 81.908 2.415\nC 35.066 84.318 -0.325\nC 35.036 87.181 2.158\nC 37.079 85.208 4.635\nC 39.753 84.324 2.122\nC 40.134 87.972 1.273\nC 40.549 88.848 4.929\nC 37.047 90.423 5.231\nC 35.489 87.891 7.654\nC 31.767 88.400 8.014\nC 29.661 87.192 10.929\nC 25.905 86.768 10.759\nC 25.462 84.678 7.636\nC 26.499 81.214 8.619\nC 29.801 79.436 9.015\nC 55.406 35.422 -23.442\nC 52.481 35.056 -21.060\nC 52.905 35.388 -17.299\nC 49.923 37.621 -16.581\nC 49.139 40.971 -14.957\nC 52.723 42.022 -15.756\nC 53.445 41.746 -12.042\nC 56.786 40.081 -12.673\nC 59.938 41.217 -14.480\nC 61.334 44.711 -13.890\nC 59.757 44.480 -10.435\nC 62.023 47.426 -9.621\nC 61.002 51.087 -9.445\nC 60.361 51.185 -13.182\nC 59.523 54.832 -13.784\nC 59.153 57.508 -11.123\nC 55.785 59.229 -11.012\nC 57.511 62.493 -11.888\nC 58.944 60.918 -15.035\nC 55.525 59.577 -16.014\nC 54.065 63.061 -15.496\nC 56.850 64.632 -17.523\nC 57.958 66.593 -14.468\nC 61.195 67.560 -12.798\nC 59.497 68.197 -9.434\nC 59.098 65.137 -7.101\nC 55.562 63.845 -7.329\nC 56.078 61.204 -4.633\nC 57.463 63.717 -2.168\nC 54.530 66.060 -2.925\nC 52.164 63.131 -2.335\nC 53.821 62.361 0.990\nC 53.799 65.995 2.080\nC 50.090 66.328 1.285\nC 49.398 63.219 3.345\nC 51.502 64.308 6.329\nC 50.161 67.835 6.194\nC 46.716 66.822 7.470\nC 44.993 68.619 4.642\nC 42.449 65.837 4.203\nC 41.698 62.229 5.163\nC 42.591 61.050 1.669\nC 44.681 62.361 -1.229\nC 43.840 61.308 -4.784\nC 46.623 60.142 -7.104\nC 46.355 63.026 -9.549\nC 46.524 65.722 -6.822\nC 50.285 65.523 -6.190\nC 50.903 65.442 -9.947\nC 48.798 68.543 -10.616\nC 50.387 70.320 -7.649\nC 53.955 69.310 -8.482\nC 53.388 70.686 -11.980\nC 52.143 74.005 -10.617\nC 55.085 74.300 -8.226\nC 57.529 73.540 -11.057\nC 55.821 76.043 -13.384\nC 55.964 78.838 -10.814\nC 59.587 78.086 -10.061\nC 60.368 78.276 -13.787\nC 58.550 81.608 -14.125\nC 60.532 83.229 -11.334\nC 63.868 81.682 -12.323\nC 63.339 82.843 -15.913\nC 62.748 86.401 -14.714\nC 65.519 86.402 -12.085\nC 67.933 84.981 -14.648\nC 66.978 87.826 -16.998\nC 67.632 90.246 -14.136\nC 71.047 88.733 -13.394\nC 71.820 89.039 -17.092\nC 70.751 92.725 -17.140\nC 73.075 93.368 -14.221\nC 76.036 91.720 -15.963\nC 75.953 88.614 -13.767\nC 75.673 84.894 -14.457\nC 74.717 83.880 -10.911\nC 71.239 84.638 -9.522\nC 71.390 86.199 -6.022\nC 68.480 87.388 -3.791\nC 68.592 90.842 -5.419\nC 67.730 89.307 -8.796\nC 64.792 87.389 -7.343\nC 63.519 90.585 -5.759\nC 63.948 92.548 -8.994\nC 62.143 89.784 -10.907\nC 59.177 89.595 -8.541\nC 58.702 93.270 -7.927\nC 58.885 94.242 -11.609\nC 56.310 91.571 -12.422\nC 52.752 92.663 -11.664\nC 51.415 89.152 -10.990\nC 54.392 87.748 -9.054\nC 54.444 90.929 -7.062\nC 50.800 90.373 -6.096\nC 51.264 86.685 -5.307\nC 54.235 87.642 -3.075\nC 52.612 90.871 -1.901\nC 53.029 89.954 1.744\nC 56.407 88.243 1.406\nC 59.889 89.621 2.228\nC 62.816 88.350 0.178\nC 65.845 88.613 2.476\nC 68.779 90.636 1.049\nC 66.454 91.696 -1.730\nC 66.558 95.464 -1.317\nC 63.883 97.603 -3.048\nC 63.231 98.845 -6.596\nC 64.824 102.176 -7.526\nC 61.990 104.699 -7.188\nC 62.120 108.398 -6.301\nC 58.866 110.343 -6.059\nC 58.876 112.952 -8.856\nC 58.198 115.891 -6.542\nC 61.506 115.221 -4.815\nC 63.618 115.643 -7.976\nC 65.699 118.830 -8.461\nC 64.079 122.155 -9.442\nC 60.978 122.617 -7.260\nC 58.971 119.689 -8.620\nC 59.434 118.253 -12.100\nC 59.945 114.529 -12.740\nC 61.700 115.081 -16.070\nC 64.143 112.307 -16.980\nC 64.051 110.472 -20.309\nC 66.560 107.680 -19.713\nC 64.416 105.210 -17.772\nC 61.381 107.489 -17.525\nC 101.384 41.308 27.496\nC 100.254 43.716 24.777\nC 102.259 45.306 21.964\nC 99.984 48.318 21.481\nC 98.049 47.087 18.401\nC 96.993 50.712 17.918\nC 98.718 54.049 18.700\nC 97.280 56.974 20.664\nC 96.073 59.397 17.991\nC 92.345 59.024 18.554\nC 90.266 55.915 19.206\nC 90.787 52.172 18.772\nC 88.654 49.550 17.026\nC 85.702 47.911 18.777\nC 85.929 44.227 17.842\nC 83.968 44.266 14.579\nC 82.818 47.128 12.355\nC 79.407 48.222 11.073\nC 78.205 47.906 7.473\nC 75.275 50.235 8.160\nC 73.774 52.303 11.003\nC 76.771 53.558 12.997\nC 78.431 53.982 9.614\nC 77.108 57.521 9.214\nC 73.346 57.797 9.859\nC 73.292 59.346 13.340\nC 73.392 63.124 12.863\nC 71.902 62.174 9.526\nC 68.425 63.383 10.471\nC 67.429 63.969 6.853\nC 66.485 67.572 6.147\nC 64.966 67.631 2.659\nC 64.417 70.626 0.382\nC 63.535 71.480 -3.199\nC 67.048 72.687 -3.966\nC 68.014 69.914 -6.419\nC 64.721 70.207 -8.268\nC 64.866 74.034 -8.402\nC 68.388 73.569 -9.785\nC 67.125 71.276 -12.555\nC 64.500 73.809 -13.611\nC 67.041 76.615 -13.677\nC 69.039 74.555 -16.177\nC 66.047 74.141 -18.461\nC 65.332 77.891 -18.483\nC 68.882 79.314 -18.165\nC 71.513 76.626 -18.973\nC 74.429 78.951 -18.258\nC 73.142 80.589 -15.082\nC 73.943 79.594 -11.543\nC 72.257 80.472 -8.244\nC 73.796 81.382 -4.927\nC 73.020 79.429 -1.760\nC 71.142 82.372 -0.228\nC 69.096 82.641 -3.437\nC 68.400 78.924 -3.436\nC 67.122 79.184 0.156\nC 64.746 81.965 -0.988\nC 63.537 79.552 -3.692\nC 63.098 76.710 -1.208\nC 61.013 79.066 1.018\nC 59.015 80.074 -2.075\nC 58.089 76.572 -3.110\nC 57.255 75.624 0.494\nC 55.076 78.723 0.849\nC 53.088 78.132 -2.327\nC 52.694 74.455 -1.492\nC 51.204 75.383 1.903\nC 48.870 78.038 0.477\nC 47.606 75.802 -2.300\nC 47.260 72.764 -0.038\nC 45.570 74.847 2.655\nC 43.099 76.264 0.135\nC 42.465 72.746 -1.244\nC 41.887 71.514 2.282\nC 39.251 74.168 3.072\nC 37.559 73.582 -0.286\nC 37.140 69.861 0.407\nC 35.980 70.534 3.965\nC 33.447 73.110 2.771\nC 32.049 70.518 0.388\nC 32.060 67.715 2.953\nC 34.623 65.685 1.012\nC 37.353 63.727 2.715\nC 39.499 63.635 -0.429\nC 41.770 66.257 -1.999\nC 41.823 65.483 -5.706\nC 43.327 67.340 -8.674\nC 40.009 69.210 -8.965\nC 40.547 70.845 -5.519\nC 44.126 71.680 -6.443\nC 42.872 73.297 -9.643\nC 40.194 75.378 -7.935\nC 42.660 76.324 -5.158\nC 45.089 77.490 -7.852\nC 42.387 79.626 -9.483\nC 41.562 81.241 -6.116\nC 45.187 81.831 -5.111\nC 47.008 82.868 -8.240\nC 46.605 86.173 -10.168\nC 45.025 86.023 -13.630\nC 47.643 84.945 -16.169\nC 49.682 83.017 -13.641\nC 46.580 80.939 -12.837\nC 45.790 80.184 -16.499\nC 49.283 78.822 -17.187\nC 49.456 77.029 -13.840\nC 46.149 75.354 -14.673\nC 47.391 74.500 -18.192\nC 50.563 72.946 -16.764\nC 48.698 71.012 -14.086\nC 46.174 69.631 -16.540\nC 48.998 68.620 -18.885\nC 50.936 66.714 -16.234\nC 47.836 64.815 -15.108\nC 46.956 63.899 -18.707\nC 50.480 62.738 -19.533\nC 50.706 60.873 -16.213\nC 47.362 59.236 -16.981\nC 48.161 58.152 -20.541\nC 51.333 56.771 -18.961\nC 52.226 53.084 -18.567\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.61",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "3.57",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "10.29",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "16.87",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1KX5",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "inputs": [
    {
     "name": "1KX5-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1266\n1KX5 nucleosome core particle NCP147: one point per residue (protein CA as C, nucleic-acid P as P), deposited model, angstrom\nP 17.935 138.346 27.497\nP 12.194 138.674 23.960\nP 9.330 136.107 18.600\nP 9.076 132.205 13.158\nP 11.200 126.881 9.610\nP 13.677 120.623 11.069\nP 18.209 117.049 14.993\nP 17.951 113.954 20.920\nP 15.753 112.014 26.487\nP 10.559 109.373 29.505\nP 4.210 108.368 31.043\nP -0.372 105.022 27.943\nP -3.192 101.954 23.260\nP -3.527 97.844 17.906\nP -0.724 94.668 12.685\nP 3.843 90.660 11.284\nP 10.307 88.952 10.935\nP 13.793 86.969 16.563\nP 13.246 84.984 23.007\nP 10.039 80.600 26.758\nP 5.881 76.416 28.940\nP 3.810 69.356 27.548\nP 2.284 64.471 23.186\nP 5.545 60.444 19.592\nP 10.108 58.020 15.543\nP 15.564 57.619 12.510\nP 22.165 58.948 11.216\nP 26.763 63.131 14.504\nP 28.251 65.213 20.755\nP 30.327 62.765 26.471\nP 30.936 57.776 30.916\nP 32.329 51.887 33.053\nP 33.861 45.651 31.658\nP 39.546 42.861 28.655\nP 43.447 42.160 23.258\nP 48.132 44.862 19.258\nP 50.947 50.291 16.429\nP 53.192 56.302 16.900\nP 53.235 62.765 19.536\nP 56.548 64.975 24.811\nP 58.795 64.234 31.228\nP 63.954 61.488 34.367\nP 70.452 59.670 33.687\nP 75.855 59.208 29.902\nP 79.245 60.789 24.818\nP 80.342 62.623 18.390\nP 79.484 67.978 14.621\nP 75.640 73.682 13.426\nP 74.055 79.121 16.577\nP 74.191 83.259 21.870\nP 77.476 85.981 27.067\nP 83.139 88.371 28.911\nP 89.827 88.849 28.114\nP 94.583 90.589 23.712\nP 96.920 94.881 21.271\nP 96.756 96.475 14.286\nP 93.842 100.404 9.983\nP 88.424 102.415 7.040\nP 81.450 102.119 7.509\nP 77.085 105.172 11.513\nP 75.201 108.405 17.429\nP 76.357 114.010 20.618\nP 78.656 120.439 20.712\nP 80.189 125.771 17.282\nP 79.968 129.831 12.048\nP 76.796 131.709 6.735\nP 72.567 130.841 1.860\nP 68.935 126.404 -1.958\nP 63.227 123.325 -0.790\nP 58.581 121.112 3.466\nP 54.734 122.415 9.007\nP 50.881 127.528 10.949\nP 49.306 134.005 11.761\nP 46.776 138.935 8.220\nP 43.498 140.834 2.779\nP 40.540 140.162 -3.320\nP 37.044 136.824 -7.601\nP 35.805 131.129 -11.469\nP 33.170 125.398 -9.787\nP 33.743 120.311 -4.952\nP 28.994 118.938 -0.186\nP 24.643 120.987 4.826\nP 18.547 123.802 5.522\nP 12.713 125.087 2.515\nP 8.537 124.069 -2.259\nP 5.823 121.992 -8.051\nP 5.657 116.671 -11.802\nP 7.193 110.580 -13.184\nP 11.954 105.883 -12.556\nP 14.662 101.259 -8.624\nP 14.742 99.337 -1.972\nP 10.369 97.565 2.845\nP 4.681 94.855 4.393\nP 0.149 90.416 3.178\nP -1.553 85.219 -0.520\nP -1.788 81.453 -5.672\nP 1.147 77.199 -9.892\nP 5.764 75.656 -14.808\nP 12.052 74.040 -14.554\nP 18.493 76.064 -12.857\nP 21.730 74.203 -7.453\nP 21.821 72.729 -0.663\nP 20.465 67.009 2.725\nP 17.087 61.211 4.367\nP 17.911 54.809 2.579\nP 20.231 49.755 -1.349\nP 23.118 47.720 -7.011\nP 28.967 47.538 -9.683\nP 34.718 49.987 -12.343\nP 39.133 55.477 -11.797\nP 42.909 57.267 -6.379\nP 44.460 57.292 0.065\nP 44.643 53.275 5.833\nP 47.440 48.011 8.078\nP 52.589 43.965 6.890\nP 57.107 40.040 3.769\nP 61.688 40.786 -0.992\nP 65.447 43.810 -5.698\nP 66.611 49.335 -8.938\nP 66.729 56.060 -9.031\nP 67.122 61.788 -6.244\nP 67.216 66.162 -0.847\nP 70.970 66.784 4.818\nP 76.388 65.035 8.419\nP 82.500 64.542 8.158\nP 88.511 63.884 5.300\nP 92.098 65.513 -0.178\nP 93.123 68.992 -5.444\nP 91.307 72.323 -11.213\nP 86.548 76.222 -13.912\nP 82.748 81.387 -13.970\nP 78.709 86.450 -11.327\nP 79.759 91.216 -7.072\nP 82.788 93.799 -1.560\nP 88.449 97.586 -1.610\nP 93.318 100.860 -4.636\nP 96.915 103.472 -9.241\nP 96.664 106.634 -15.054\nP 92.426 109.787 -19.244\nP 86.258 109.894 -22.564\nP 80.264 112.279 -21.017\nP 75.173 113.389 -16.960\nP 73.159 116.302 -11.420\nP 74.015 121.040 -6.913\nP 76.052 127.427 -6.192\nP 80.445 132.642 -6.101\nP 81.440 128.440 -23.556\nP 86.794 128.127 -20.487\nP 89.110 124.979 -15.065\nP 89.296 123.670 -8.209\nP 86.311 119.601 -3.877\nP 82.653 113.729 -3.989\nP 77.772 110.009 -7.046\nP 77.124 105.656 -11.821\nP 79.002 102.047 -16.842\nP 83.459 99.033 -20.898\nP 88.961 95.575 -21.580\nP 93.830 92.970 -17.879\nP 96.393 89.955 -12.737\nP 96.121 86.642 -7.064\nP 93.517 85.541 -0.729\nP 88.113 83.468 1.987\nP 80.986 83.498 1.851\nP 77.456 79.891 -2.604\nP 77.347 75.823 -8.305\nP 79.899 70.978 -11.464\nP 82.745 65.046 -12.385\nP 83.963 59.375 -9.614\nP 84.531 55.180 -4.391\nP 81.823 52.679 0.934\nP 77.004 52.043 5.223\nP 71.013 52.391 7.686\nP 65.181 55.985 8.972\nP 61.406 59.416 4.584\nP 59.607 60.402 -1.690\nP 57.412 57.055 -6.733\nP 56.185 51.495 -10.328\nP 54.287 45.078 -10.744\nP 50.550 40.106 -7.939\nP 45.810 38.195 -3.862\nP 41.030 39.816 0.063\nP 37.311 44.136 3.800\nP 35.700 50.498 5.301\nP 34.258 56.377 3.338\nP 34.915 61.924 -0.775\nP 31.589 63.249 -6.360\nP 29.076 61.318 -12.598\nP 23.494 58.097 -14.815\nP 17.114 57.274 -13.359\nP 11.757 58.781 -9.607\nP 8.893 62.168 -4.865\nP 9.018 65.415 1.318\nP 9.973 71.978 2.309\nP 14.594 77.076 2.486\nP 16.751 81.426 -1.836\nP 17.204 84.153 -7.888\nP 14.015 85.921 -13.723\nP 8.365 88.767 -15.030\nP 2.225 90.974 -14.689\nP -1.928 94.445 -12.272\nP -3.486 99.349 -8.358\nP -2.890 103.255 -3.272\nP 0.758 106.690 0.766\nP 6.590 108.002 3.668\nP 13.461 106.527 3.087\nP 17.668 107.965 -1.948\nP 19.383 109.474 -8.374\nP 18.318 113.821 -13.129\nP 18.587 120.572 -14.119\nP 18.102 126.787 -12.179\nP 17.921 131.948 -7.951\nP 21.450 134.574 -3.039\nP 25.771 134.218 1.979\nP 29.192 130.331 6.598\nP 34.396 126.421 6.115\nP 38.511 122.557 2.550\nP 42.132 122.127 -3.401\nP 45.955 125.795 -7.296\nP 49.733 131.221 -8.143\nP 53.006 136.290 -5.798\nP 56.259 139.424 -1.039\nP 59.209 139.550 4.825\nP 62.078 137.013 9.955\nP 62.091 132.184 15.023\nP 63.843 125.864 14.990\nP 62.873 119.915 11.433\nP 67.398 116.865 7.003\nP 72.115 117.058 1.968\nP 78.482 118.805 0.865\nP 84.415 119.965 3.546\nP 88.299 119.613 9.057\nP 90.775 118.158 14.826\nP 89.370 114.444 20.318\nP 87.226 108.849 22.836\nP 81.249 105.033 23.234\nP 79.362 99.406 20.164\nP 78.744 96.593 13.773\nP 82.705 92.829 9.830\nP 88.059 89.051 9.236\nP 91.813 84.740 11.155\nP 93.441 80.651 15.436\nP 91.750 76.964 20.547\nP 89.961 75.479 26.964\nP 83.981 74.699 31.079\nP 77.516 74.424 30.683\nP 71.432 76.475 28.274\nP 67.982 73.961 23.446\nP 67.933 71.497 16.860\nP 69.162 65.163 14.886\nP 70.437 58.372 15.448\nP 69.272 53.106 19.031\nP 67.527 49.435 24.426\nP 63.137 49.294 29.571\nP 57.485 50.853 32.240\nP 51.862 54.393 33.555\nP 48.067 59.793 31.628\nP 44.766 60.672 25.656\nP 43.295 59.424 19.431\nP 41.796 54.668 14.938\nP 38.284 49.105 14.200\nP 33.365 45.581 16.132\nP 27.998 43.956 19.495\nP 23.307 46.250 23.849\nP 20.263 50.741 27.568\nP 19.737 57.356 29.920\nP 21.031 63.646 28.606\nP 21.462 68.553 24.595\nP 21.875 71.805 18.463\nP 18.364 71.482 12.639\nP 12.693 70.125 9.480\nP 6.214 70.247 9.752\nP 0.187 70.697 12.350\nP -3.069 74.578 16.557\nP -3.621 79.585 20.898\nP -1.353 83.621 25.802\nP 4.426 87.096 28.629\nP 9.123 91.511 27.521\nP 13.789 95.307 24.021\nP 13.504 99.112 18.720\nP 10.897 100.679 12.409\nP 5.998 105.188 11.095\nP 2.179 109.996 13.143\nP -1.582 113.567 17.008\nP -0.720 118.379 21.310\nP 3.011 121.415 26.361\nP 9.017 122.013 29.513\nP 15.760 122.112 28.225\nP 21.007 121.663 23.983\nP 23.682 123.030 18.115\nP 23.654 126.912 12.659\nP 22.367 133.131 10.351\nP 19.312 139.004 9.454\nC 106.912 133.801 -29.864\nC 109.230 133.643 -26.850\nC 109.524 131.074 -24.045\nC 108.946 133.453 -21.150\nC 105.457 134.098 -19.767\nC 105.430 130.611 -18.300\nC 109.020 129.421 -17.896\nC 106.945 127.390 -15.475\nC 109.583 124.661 -15.235\nC 108.552 121.287 -16.660\nC 106.963 119.496 -13.711\nC 106.647 119.961 -9.956\nC 103.588 120.999 -8.000\nC 105.766 122.349 -5.205\nC 104.923 125.951 -4.308\nC 108.041 126.995 -2.317\nC 109.881 126.619 -5.630\nC 113.558 126.590 -6.606\nC 114.986 128.245 -3.470\nC 114.696 127.139 0.165\nC 111.398 126.515 1.961\nC 109.456 123.278 1.472\nC 105.917 123.600 2.831\nC 102.787 121.646 1.905\nC 101.474 124.514 -0.221\nC 99.897 123.909 -3.628\nC 96.864 126.039 -4.507\nC 94.641 126.499 -1.457\nC 95.496 128.135 1.866\nC 99.091 127.670 3.103\nC 98.128 130.109 5.856\nC 95.572 129.565 8.626\nC 92.130 131.131 8.350\nC 89.923 131.293 5.264\nC 89.501 129.497 1.943\nC 87.644 131.466 -0.802\nC 84.260 129.756 -1.223\nC 84.907 126.021 -0.687\nC 82.715 123.557 -2.555\nC 79.203 122.811 -1.289\nC 76.405 120.741 -2.797\nC 72.951 122.276 -2.331\nC 70.605 120.956 0.405\nC 68.865 117.965 -1.147\nC 71.537 117.043 -3.674\nC 73.315 114.672 -1.311\nC 70.038 113.349 0.138\nC 69.068 112.375 -3.448\nC 72.482 110.780 -3.992\nC 71.957 108.686 -0.815\nC 68.469 107.582 -1.874\nC 69.969 106.328 -5.157\nC 72.892 104.630 -3.384\nC 70.712 102.796 -0.867\nC 67.972 101.805 -3.286\nC 70.611 100.112 -5.376\nC 72.122 98.053 -2.545\nC 70.691 95.364 -0.273\nC 73.010 95.448 2.744\nC 71.458 95.785 6.186\nC 71.488 99.422 7.325\nC 71.341 99.164 11.123\nC 74.610 98.104 12.851\nC 74.708 94.423 13.794\nC 75.824 94.565 17.440\nC 73.522 97.376 18.535\nC 70.644 95.486 16.893\nC 71.574 92.208 18.520\nC 71.601 93.958 21.905\nC 68.147 95.403 21.374\nC 66.746 92.001 20.408\nC 68.244 90.233 23.454\nC 66.960 92.966 25.756\nC 63.415 92.732 24.395\nC 63.413 88.917 24.570\nC 64.678 88.950 28.194\nC 61.334 90.592 29.065\nC 59.464 87.484 27.913\nC 61.866 84.737 28.987\nC 65.187 85.085 30.796\nC 68.400 83.300 29.918\nC 67.638 82.723 26.270\nC 70.239 82.058 23.632\nC 69.730 82.950 19.937\nC 70.883 81.181 16.814\nC 72.869 83.753 14.791\nC 70.390 83.341 11.900\nC 67.466 84.097 14.298\nC 68.916 87.505 14.950\nC 69.630 88.012 11.244\nC 66.059 86.980 10.332\nC 64.745 89.553 12.810\nC 67.001 92.244 11.363\nC 66.059 91.452 7.746\nC 62.360 91.566 8.728\nC 62.704 94.730 10.842\nC 64.578 96.647 8.186\nC 62.191 95.596 5.410\nC 59.303 96.685 7.648\nC 60.838 100.086 8.375\nC 61.838 100.791 4.810\nC 58.305 99.989 3.540\nC 56.846 102.124 6.346\nC 59.077 105.037 5.291\nC 57.784 104.691 1.725\nC 54.187 105.041 3.061\nC 55.200 107.839 5.458\nC 56.748 109.652 2.444\nC 53.496 109.377 0.474\nC 51.686 110.922 3.496\nC 54.140 113.863 3.646\nC 53.779 114.507 -0.061\nC 50.000 114.255 0.297\nC 50.230 117.204 2.683\nC 52.355 119.116 0.140\nC 55.547 118.610 2.145\nC 58.826 116.905 1.292\nC 59.826 116.476 4.925\nC 58.502 113.431 6.763\nC 57.112 114.073 10.218\nC 55.808 111.897 13.089\nC 52.215 112.641 12.030\nC 53.038 111.040 8.658\nC 54.307 107.864 10.302\nC 51.218 107.898 12.556\nC 48.809 108.339 9.668\nC 50.433 105.502 7.728\nC 50.297 103.136 10.703\nC 46.669 104.022 11.442\nC 45.598 103.317 7.841\nC 47.603 100.101 7.797\nC 45.667 98.972 10.855\nC 48.759 98.930 13.060\nC 47.546 101.783 15.260\nC 43.926 101.353 14.287\nC 90.043 119.832 32.931\nC 86.851 121.146 31.364\nC 88.330 122.502 28.142\nC 86.633 123.237 24.839\nC 82.956 123.245 23.950\nC 83.267 121.259 20.748\nC 86.443 121.052 18.696\nC 90.019 119.790 18.931\nC 91.584 119.459 22.378\nC 90.646 116.589 24.676\nC 87.762 115.831 27.017\nC 85.588 118.213 25.010\nC 82.034 117.292 24.012\nC 81.560 113.790 22.662\nC 83.770 111.754 24.977\nC 81.984 108.753 26.501\nC 83.649 105.417 27.229\nC 81.614 102.328 28.092\nC 79.717 99.750 26.098\nC 76.202 98.936 27.212\nC 75.398 96.706 30.149\nC 72.391 99.027 30.493\nC 72.716 102.147 28.312\nC 71.733 102.980 24.716\nC 70.228 99.779 23.310\nC 67.077 101.159 21.649\nC 69.084 104.371 21.685\nC 71.715 102.344 19.909\nC 69.632 102.384 16.724\nC 71.274 105.586 15.579\nC 69.997 108.654 13.805\nC 72.315 107.749 10.891\nC 70.984 104.202 10.571\nC 67.389 105.539 10.605\nC 68.294 108.119 7.963\nC 69.741 105.318 5.825\nC 66.564 103.243 6.209\nC 64.540 106.302 5.203\nC 66.762 106.862 2.133\nC 66.198 103.313 0.965\nC 62.506 104.147 1.525\nC 62.869 107.144 -0.854\nC 62.771 109.878 1.790\nC 64.606 113.155 0.982\nC 64.047 115.287 4.086\nC 63.544 114.240 7.687\nC 62.045 115.990 10.709\nC 64.152 116.017 13.852\nC 61.384 114.205 15.703\nC 61.350 111.229 13.304\nC 64.209 109.465 15.037\nC 62.519 108.932 18.366\nC 59.287 108.116 16.611\nC 61.044 105.440 14.561\nC 62.650 103.891 17.641\nC 59.228 103.610 19.259\nC 57.769 101.929 16.197\nC 60.723 99.590 15.830\nC 60.485 98.577 19.484\nC 56.767 97.705 19.054\nC 57.514 95.660 15.944\nC 60.248 93.671 17.717\nC 58.219 93.208 20.886\nC 55.439 91.727 18.749\nC 57.575 89.437 16.683\nC 59.878 88.376 19.545\nC 56.954 87.679 21.865\nC 55.597 85.095 19.413\nC 58.999 83.646 18.572\nC 59.705 83.102 22.273\nC 56.249 81.495 22.612\nC 57.302 78.967 19.978\nC 60.691 78.522 21.731\nC 59.046 77.735 25.061\nC 56.477 75.416 23.525\nC 59.378 73.434 22.098\nC 60.933 73.299 25.553\nC 64.034 75.017 24.109\nC 66.298 77.630 25.628\nC 67.522 78.825 22.229\nC 65.457 81.046 19.867\nC 65.846 79.574 16.393\nC 65.526 81.164 12.985\nC 62.427 78.960 12.456\nC 60.820 80.353 15.647\nC 61.312 83.799 14.092\nC 60.089 82.667 10.633\nC 56.914 81.187 12.165\nC 56.320 84.274 14.298\nC 56.740 86.530 11.242\nC 54.394 84.426 9.141\nC 51.547 84.507 11.660\nC 51.956 88.312 11.906\nC 51.456 88.525 8.119\nC 55.121 89.228 7.404\nC 56.332 86.013 5.728\nC 60.103 86.098 5.327\nC 61.946 83.978 2.750\nC 65.562 82.932 3.119\nC 65.723 81.448 6.592\nC 64.050 78.040 6.436\nC 67.153 75.878 6.261\nC 40.565 42.872 34.404\nC 39.740 40.282 31.762\nC 36.505 41.143 29.965\nC 34.098 38.821 31.764\nC 31.308 41.004 33.132\nC 30.887 44.254 35.064\nC 28.289 45.866 37.308\nC 27.490 49.196 38.916\nC 27.789 52.779 37.707\nC 29.711 55.415 39.632\nC 32.011 56.844 36.981\nC 29.074 58.499 35.247\nC 26.946 56.939 32.496\nC 24.884 60.101 32.775\nC 27.899 62.330 33.386\nC 29.043 64.360 30.397\nC 32.666 65.348 29.980\nC 31.335 68.908 30.166\nC 29.902 68.330 33.676\nC 33.113 66.533 34.556\nC 35.162 69.589 33.484\nC 32.727 72.058 35.107\nC 31.698 73.512 31.752\nC 28.593 74.723 29.962\nC 30.063 74.374 26.449\nC 30.053 70.811 24.975\nC 33.309 68.920 25.394\nC 32.060 65.987 23.342\nC 31.147 68.184 20.360\nC 34.385 70.139 20.514\nC 36.315 66.813 20.536\nC 34.412 65.602 17.473\nC 34.871 68.867 15.592\nC 38.640 68.808 16.345\nC 38.800 65.290 14.885\nC 36.610 66.164 11.881\nC 38.724 69.183 10.913\nC 41.987 67.406 10.115\nC 44.106 69.389 12.497\nC 46.302 66.447 13.569\nC 46.329 62.677 13.409\nC 45.493 62.526 17.123\nC 43.597 64.702 19.628\nC 44.290 64.204 23.316\nC 41.434 64.020 25.841\nC 42.348 67.329 27.454\nC 42.427 69.360 24.229\nC 38.655 69.631 23.718\nC 38.211 70.369 27.411\nC 40.675 73.235 27.316\nC 39.262 74.528 24.035\nC 35.610 74.357 25.208\nC 36.581 76.240 28.421\nC 38.264 78.988 26.324\nC 35.294 79.335 23.941\nC 32.943 79.474 26.906\nC 35.094 82.120 28.558\nC 35.210 84.355 25.453\nC 31.480 83.932 24.967\nC 30.886 85.065 28.565\nC 33.109 88.123 28.048\nC 31.354 89.314 24.915\nC 27.904 88.637 26.349\nC 28.740 90.468 29.581\nC 29.797 93.608 27.681\nC 26.974 93.258 25.106\nC 24.276 92.951 27.763\nC 25.780 96.096 29.286\nC 25.441 97.899 25.918\nC 21.802 96.751 25.627\nC 21.113 98.023 29.178\nC 22.865 101.349 28.391\nC 20.498 101.710 25.397\nC 17.492 100.775 27.564\nC 16.942 97.436 25.836\nC 16.564 93.978 27.306\nC 17.296 92.034 24.154\nC 20.824 91.904 22.733\nC 20.901 92.688 18.997\nC 23.925 92.912 16.590\nC 24.367 96.568 17.385\nC 25.065 95.762 21.069\nC 27.619 93.113 20.127\nC 29.389 95.660 17.879\nC 29.319 98.341 20.589\nC 30.709 95.750 23.084\nC 33.501 94.716 20.783\nC 34.597 98.047 19.427\nC 34.593 99.787 22.801\nC 36.771 97.012 24.288\nC 40.457 97.223 23.401\nC 41.169 93.499 23.485\nC 38.001 92.193 21.782\nC 38.440 94.913 19.101\nC 41.912 93.561 18.373\nC 40.784 89.913 18.408\nC 38.023 90.868 15.955\nC 40.028 93.478 14.030\nC 39.318 91.972 10.617\nC 35.792 90.841 11.326\nC 32.572 92.570 10.319\nC 29.522 92.128 12.533\nC 26.504 92.418 10.240\nC 23.992 95.135 11.229\nC 26.486 96.392 13.741\nC 26.979 99.917 12.443\nC 29.980 101.872 13.756\nC 30.897 103.719 16.963\nC 29.778 107.398 17.089\nC 32.933 109.339 16.332\nC 33.372 112.739 14.725\nC 36.893 114.078 14.180\nC 37.487 117.210 16.311\nC 38.436 119.500 13.477\nC 35.027 118.986 11.890\nC 33.022 120.487 14.766\nC 31.950 124.103 14.453\nC 33.281 126.979 16.588\nC 34.996 130.347 16.996\nC 31.307 131.239 16.870\nC 32.157 131.068 13.169\nC 32.495 134.789 12.488\nC 35.784 135.584 10.728\nC 38.201 137.771 12.701\nC 37.201 141.241 11.511\nC 33.456 140.571 11.446\nC 32.898 138.857 8.093\nC 32.947 135.356 6.589\nC 12.119 46.937 21.698\nC 14.616 47.078 18.833\nC 15.702 49.753 16.355\nC 18.851 48.591 14.558\nC 20.195 47.392 12.235\nC 19.094 48.857 8.896\nC 17.631 50.149 6.641\nC 15.661 53.350 7.289\nC 18.740 55.255 8.528\nC 17.667 58.648 7.254\nC 13.944 57.945 7.082\nC 10.914 60.245 7.057\nC 8.588 60.859 4.118\nC 8.637 58.044 1.571\nC 6.066 58.636 -1.175\nC 3.168 59.156 1.242\nC 1.634 56.598 3.632\nC 0.923 58.487 6.859\nC -1.069 57.579 9.973\nC -1.651 60.741 12.007\nC 0.087 64.102 12.441\nC 1.651 65.669 9.352\nC 5.383 66.127 9.920\nC 9.056 65.393 9.220\nC 9.442 65.928 5.459\nC 12.242 63.538 4.456\nC 14.497 64.362 7.397\nC 16.597 67.495 7.003\nC 20.262 66.882 7.771\nC 20.895 68.466 11.156\nC 22.689 71.803 11.269\nC 24.265 72.096 14.698\nC 25.074 75.380 16.452\nC 26.370 76.732 19.725\nC 23.118 78.567 20.371\nC 21.886 76.565 23.388\nC 25.273 76.955 25.059\nC 25.577 80.627 24.197\nC 22.081 80.987 25.708\nC 23.154 79.145 28.895\nC 26.095 81.487 29.355\nC 24.021 84.575 28.653\nC 21.642 83.615 31.509\nC 24.606 83.241 33.871\nC 25.874 86.685 33.176\nC 22.676 88.611 32.460\nC 19.738 86.601 33.876\nC 17.008 88.885 32.526\nC 18.556 89.702 29.153\nC 17.528 88.014 25.953\nC 19.245 87.853 22.530\nC 17.762 88.193 19.020\nC 18.251 85.435 16.459\nC 20.506 87.723 14.358\nC 22.709 88.407 17.393\nC 22.693 84.677 18.093\nC 23.831 84.053 14.469\nC 26.667 86.544 15.121\nC 27.615 84.634 18.353\nC 27.600 81.322 16.493\nC 29.998 82.772 13.866\nC 32.205 84.138 16.638\nC 32.492 80.804 18.417\nC 33.148 78.928 15.152\nC 35.735 81.524 14.020\nC 37.705 81.378 17.300\nC 37.453 77.582 17.343\nC 38.967 77.472 13.824\nC 41.648 80.066 14.632\nC 42.784 78.307 17.799\nC 42.612 74.826 16.222\nC 44.533 75.995 13.136\nC 47.248 77.584 15.283\nC 47.434 74.363 17.408\nC 47.665 72.264 14.214\nC 50.611 74.366 12.939\nC 52.257 74.208 16.355\nC 52.010 70.410 16.392\nC 53.393 70.125 12.831\nC 56.237 72.569 13.515\nC 57.243 70.298 16.390\nC 56.720 67.072 14.471\nC 53.984 65.909 16.843\nC 50.921 64.078 15.625\nC 48.821 64.816 18.705\nC 47.133 68.082 19.604\nC 47.047 68.167 23.390\nC 45.791 70.800 25.795\nC 49.347 72.077 25.690\nC 49.078 72.976 21.970\nC 45.682 74.556 22.673\nC 47.210 76.617 25.484\nC 50.081 77.875 23.356\nC 47.708 78.592 20.415\nC 45.611 80.631 22.874\nC 48.646 82.646 23.973\nC 49.571 83.314 20.345\nC 46.063 84.253 19.270\nC 44.548 86.206 22.138\nC 45.521 89.663 23.271\nC 46.980 90.157 26.759\nC 44.326 89.961 29.465\nC 42.030 87.782 27.413\nC 44.717 85.167 26.880\nC 45.539 85.308 30.601\nC 41.988 84.635 31.746\nC 41.404 82.114 28.918\nC 44.540 80.133 29.914\nC 43.381 80.166 33.575\nC 39.891 78.838 32.701\nC 41.296 76.244 30.290\nC 43.802 74.990 32.861\nC 41.225 74.918 35.607\nC 38.897 72.908 33.402\nC 41.503 70.291 32.434\nC 42.661 69.904 36.025\nC 39.021 69.355 37.150\nC 38.307 66.989 34.294\nC 41.322 64.850 35.202\nC 40.436 64.919 38.916\nC 37.435 62.703 38.242\nC 37.187 58.886 38.127\nC 21.763 182.961 27.355\nC 19.422 185.326 25.504\nC 17.498 186.310 28.646\nC 14.159 185.758 26.897\nC 11.954 182.646 26.915\nC 11.870 179.747 24.451\nC 13.185 176.539 26.059\nC 14.858 175.616 22.766\nC 18.589 175.312 23.511\nC 20.097 171.982 24.574\nC 17.532 169.336 25.607\nC 17.364 167.479 22.302\nC 17.059 170.888 20.683\nC 20.276 172.589 19.538\nC 21.269 169.935 17.013\nC 21.301 166.131 16.874\nC 23.046 163.613 19.127\nC 19.916 161.572 19.831\nC 17.682 159.619 17.413\nC 19.773 156.466 17.802\nC 20.020 152.765 16.996\nC 19.530 150.561 13.960\nC 16.463 151.126 11.784\nC 15.141 147.759 10.587\nC 15.588 143.971 10.525\nC 13.316 142.563 13.236\nC 10.662 140.311 11.708\nC 10.363 142.036 8.335\nC 9.323 145.687 8.598\nC 9.867 146.307 4.852\nC 11.325 149.815 4.990\nC 14.730 148.450 4.115\nC 17.424 147.508 6.595\nC 17.980 143.770 6.885\nC 17.232 141.763 3.725\nC 14.696 138.898 3.966\nC 14.147 135.907 6.291\nC 13.555 132.225 5.242\nC 15.342 129.923 7.748\nC 18.587 128.196 6.718\nC 21.031 126.113 8.732\nC 24.626 127.010 7.936\nC 26.717 124.880 5.522\nC 28.023 121.986 7.570\nC 25.384 122.008 10.296\nC 23.104 119.494 8.564\nC 26.106 117.446 7.403\nC 27.126 117.091 11.092\nC 23.534 116.249 11.964\nC 23.600 113.457 9.333\nC 26.942 112.049 10.650\nC 25.366 111.748 14.119\nC 22.248 110.213 12.696\nC 23.963 107.599 10.586\nC 26.599 106.700 13.154\nC 23.807 105.868 15.613\nC 21.950 103.604 13.203\nC 22.793 100.325 11.509\nC 20.446 100.056 8.542\nC 21.979 99.507 5.102\nC 22.464 102.782 3.228\nC 22.408 101.677 -0.410\nC 18.931 100.847 -1.795\nC 18.369 97.076 -1.918\nC 17.100 96.390 -5.423\nC 19.640 98.680 -7.150\nC 22.438 96.903 -5.209\nC 20.983 93.544 -6.172\nC 21.084 94.421 -9.897\nC 24.714 95.505 -9.646\nC 25.570 92.170 -8.002\nC 23.684 90.259 -10.682\nC 25.286 92.274 -13.501\nC 28.805 91.727 -12.229\nC 28.243 88.052 -11.516\nC 26.658 87.579 -14.906\nC 29.792 88.927 -16.532\nC 31.784 86.210 -14.747\nC 29.353 83.330 -15.311\nC 25.994 83.246 -17.072\nC 22.893 81.540 -15.671\nC 23.572 82.065 -11.953\nC 20.874 82.282 -9.313\nC 21.451 83.833 -5.828\nC 20.201 82.900 -2.407\nC 18.710 86.167 -1.111\nC 20.965 85.981 2.002\nC 24.011 85.775 -0.429\nC 23.054 89.164 -1.769\nC 22.452 90.591 1.728\nC 25.887 89.211 2.795\nC 27.538 90.988 -0.137\nC 25.691 94.205 0.702\nC 26.610 94.070 4.416\nC 30.274 93.451 3.523\nC 30.315 96.092 0.796\nC 28.868 98.777 2.989\nC 31.150 97.995 5.926\nC 34.092 98.114 3.494\nC 33.047 101.505 2.096\nC 32.277 103.051 5.449\nC 35.694 102.001 6.841\nC 37.390 103.300 3.690\nC 35.614 106.657 4.062\nC 36.928 106.808 7.635\nC 40.541 106.342 6.326\nC 39.901 108.770 3.437\nC 38.644 111.410 5.911\nC 41.878 111.005 7.943\nC 43.770 111.656 4.707\nC 41.772 114.830 3.863\nC 42.338 116.060 7.418\nC 46.024 115.263 7.182\nC 46.196 117.665 4.219\nC 44.386 120.380 6.223\nC 41.082 119.884 4.447\nC 37.628 118.847 5.627\nC 36.580 117.855 2.079\nC 37.420 114.355 0.871\nC 38.718 114.115 -2.679\nC 39.670 111.224 -5.030\nC 43.356 111.570 -4.034\nC 42.464 110.900 -0.395\nC 40.699 107.667 -1.374\nC 43.697 106.753 -3.555\nC 46.207 107.406 -0.761\nC 44.215 105.290 1.760\nC 43.899 102.386 -0.700\nC 47.595 102.577 -1.496\nC 48.646 102.539 2.193\nC 46.201 99.666 2.806\nC 47.941 97.685 0.071\nC 44.820 97.528 -2.092\nC 46.587 99.495 -4.801\nC 50.372 99.640 -4.420\nC 5.323 72.575 -10.772\nC 8.363 70.626 -11.930\nC 7.912 70.839 -15.695\nC 9.739 72.942 -18.272\nC 13.183 72.158 -19.672\nC 16.290 73.712 -18.155\nC 19.698 72.607 -19.369\nC 20.856 76.110 -20.258\nC 19.141 77.299 -17.095\nC 15.437 78.124 -17.257\nC 12.766 78.777 -19.862\nC 9.312 78.028 -21.240\nC 8.086 78.711 -24.763\nC 4.593 80.146 -24.702\nC 6.093 83.494 -23.724\nC 6.919 83.243 -20.027\nC 10.635 83.596 -19.270\nC 12.157 86.955 -18.326\nC 15.660 88.415 -17.947\nC 16.257 91.762 -19.612\nC 19.793 92.916 -20.326\nC 21.602 94.259 -17.285\nC 23.749 97.308 -17.865\nC 24.942 100.457 -16.085\nC 23.695 99.286 -12.685\nC 26.716 100.879 -10.962\nC 24.714 104.119 -11.389\nC 22.209 102.544 -9.003\nC 24.799 103.357 -6.340\nC 23.523 106.968 -6.081\nC 25.051 110.221 -4.894\nC 22.672 110.257 -1.855\nC 23.623 106.684 -0.989\nC 27.360 107.413 -1.181\nC 26.849 110.589 0.843\nC 25.097 108.462 3.517\nC 27.961 105.924 3.595\nC 30.475 108.794 3.860\nC 28.411 110.293 6.759\nC 28.463 106.996 8.696\nC 32.219 107.109 7.916\nC 32.292 110.538 9.639\nC 32.796 112.642 6.510\nC 31.432 116.159 6.589\nC 32.248 117.529 3.116\nC 32.614 115.700 -0.185\nC 34.170 116.748 -3.486\nC 32.088 116.272 -6.619\nC 34.464 113.704 -8.097\nC 34.093 111.396 -5.083\nC 30.962 109.721 -6.382\nC 32.399 108.214 -9.538\nC 35.586 107.322 -7.664\nC 33.525 105.455 -5.035\nC 31.572 103.564 -7.694\nC 34.881 102.480 -9.258\nC 36.216 101.265 -5.879\nC 32.994 99.413 -5.078\nC 33.003 97.747 -8.481\nC 36.499 96.413 -7.875\nC 35.524 95.281 -4.386\nC 32.431 93.475 -5.688\nC 34.188 91.937 -8.701\nC 36.789 90.433 -6.386\nC 34.431 88.930 -3.826\nC 31.928 87.731 -6.405\nC 34.728 86.171 -8.514\nC 35.793 83.996 -5.555\nC 32.199 83.275 -4.456\nC 31.292 82.032 -7.904\nC 34.468 79.943 -8.016\nC 33.256 78.223 -4.815\nC 29.767 77.845 -6.384\nC 31.127 76.252 -9.579\nC 33.509 73.956 -7.709\nC 30.518 72.620 -5.811\nC 28.702 72.079 -9.124\nC 25.915 74.422 -8.108\nC 24.161 77.062 -10.201\nC 23.089 79.098 -7.137\nC 25.476 81.339 -5.192\nC 24.947 80.679 -1.496\nC 25.473 82.958 1.454\nC 28.191 80.462 2.415\nC 29.993 80.931 -0.930\nC 30.088 84.692 -0.138\nC 31.191 84.166 3.499\nC 34.084 81.908 2.415\nC 35.066 84.318 -0.325\nC 35.036 87.181 2.158\nC 37.079 85.208 4.635\nC 39.753 84.324 2.122\nC 40.134 87.972 1.273\nC 40.549 88.848 4.929\nC 37.047 90.423 5.231\nC 35.489 87.891 7.654\nC 31.767 88.400 8.014\nC 29.661 87.192 10.929\nC 25.905 86.768 10.759\nC 25.462 84.678 7.636\nC 26.499 81.214 8.619\nC 29.801 79.436 9.015\nC 55.406 35.422 -23.442\nC 52.481 35.056 -21.060\nC 52.905 35.388 -17.299\nC 49.923 37.621 -16.581\nC 49.139 40.971 -14.957\nC 52.723 42.022 -15.756\nC 53.445 41.746 -12.042\nC 56.786 40.081 -12.673\nC 59.938 41.217 -14.480\nC 61.334 44.711 -13.890\nC 59.757 44.480 -10.435\nC 62.023 47.426 -9.621\nC 61.002 51.087 -9.445\nC 60.361 51.185 -13.182\nC 59.523 54.832 -13.784\nC 59.153 57.508 -11.123\nC 55.785 59.229 -11.012\nC 57.511 62.493 -11.888\nC 58.944 60.918 -15.035\nC 55.525 59.577 -16.014\nC 54.065 63.061 -15.496\nC 56.850 64.632 -17.523\nC 57.958 66.593 -14.468\nC 61.195 67.560 -12.798\nC 59.497 68.197 -9.434\nC 59.098 65.137 -7.101\nC 55.562 63.845 -7.329\nC 56.078 61.204 -4.633\nC 57.463 63.717 -2.168\nC 54.530 66.060 -2.925\nC 52.164 63.131 -2.335\nC 53.821 62.361 0.990\nC 53.799 65.995 2.080\nC 50.090 66.328 1.285\nC 49.398 63.219 3.345\nC 51.502 64.308 6.329\nC 50.161 67.835 6.194\nC 46.716 66.822 7.470\nC 44.993 68.619 4.642\nC 42.449 65.837 4.203\nC 41.698 62.229 5.163\nC 42.591 61.050 1.669\nC 44.681 62.361 -1.229\nC 43.840 61.308 -4.784\nC 46.623 60.142 -7.104\nC 46.355 63.026 -9.549\nC 46.524 65.722 -6.822\nC 50.285 65.523 -6.190\nC 50.903 65.442 -9.947\nC 48.798 68.543 -10.616\nC 50.387 70.320 -7.649\nC 53.955 69.310 -8.482\nC 53.388 70.686 -11.980\nC 52.143 74.005 -10.617\nC 55.085 74.300 -8.226\nC 57.529 73.540 -11.057\nC 55.821 76.043 -13.384\nC 55.964 78.838 -10.814\nC 59.587 78.086 -10.061\nC 60.368 78.276 -13.787\nC 58.550 81.608 -14.125\nC 60.532 83.229 -11.334\nC 63.868 81.682 -12.323\nC 63.339 82.843 -15.913\nC 62.748 86.401 -14.714\nC 65.519 86.402 -12.085\nC 67.933 84.981 -14.648\nC 66.978 87.826 -16.998\nC 67.632 90.246 -14.136\nC 71.047 88.733 -13.394\nC 71.820 89.039 -17.092\nC 70.751 92.725 -17.140\nC 73.075 93.368 -14.221\nC 76.036 91.720 -15.963\nC 75.953 88.614 -13.767\nC 75.673 84.894 -14.457\nC 74.717 83.880 -10.911\nC 71.239 84.638 -9.522\nC 71.390 86.199 -6.022\nC 68.480 87.388 -3.791\nC 68.592 90.842 -5.419\nC 67.730 89.307 -8.796\nC 64.792 87.389 -7.343\nC 63.519 90.585 -5.759\nC 63.948 92.548 -8.994\nC 62.143 89.784 -10.907\nC 59.177 89.595 -8.541\nC 58.702 93.270 -7.927\nC 58.885 94.242 -11.609\nC 56.310 91.571 -12.422\nC 52.752 92.663 -11.664\nC 51.415 89.152 -10.990\nC 54.392 87.748 -9.054\nC 54.444 90.929 -7.062\nC 50.800 90.373 -6.096\nC 51.264 86.685 -5.307\nC 54.235 87.642 -3.075\nC 52.612 90.871 -1.901\nC 53.029 89.954 1.744\nC 56.407 88.243 1.406\nC 59.889 89.621 2.228\nC 62.816 88.350 0.178\nC 65.845 88.613 2.476\nC 68.779 90.636 1.049\nC 66.454 91.696 -1.730\nC 66.558 95.464 -1.317\nC 63.883 97.603 -3.048\nC 63.231 98.845 -6.596\nC 64.824 102.176 -7.526\nC 61.990 104.699 -7.188\nC 62.120 108.398 -6.301\nC 58.866 110.343 -6.059\nC 58.876 112.952 -8.856\nC 58.198 115.891 -6.542\nC 61.506 115.221 -4.815\nC 63.618 115.643 -7.976\nC 65.699 118.830 -8.461\nC 64.079 122.155 -9.442\nC 60.978 122.617 -7.260\nC 58.971 119.689 -8.620\nC 59.434 118.253 -12.100\nC 59.945 114.529 -12.740\nC 61.700 115.081 -16.070\nC 64.143 112.307 -16.980\nC 64.051 110.472 -20.309\nC 66.560 107.680 -19.713\nC 64.416 105.210 -17.772\nC 61.381 107.489 -17.525\nC 101.384 41.308 27.496\nC 100.254 43.716 24.777\nC 102.259 45.306 21.964\nC 99.984 48.318 21.481\nC 98.049 47.087 18.401\nC 96.993 50.712 17.918\nC 98.718 54.049 18.700\nC 97.280 56.974 20.664\nC 96.073 59.397 17.991\nC 92.345 59.024 18.554\nC 90.266 55.915 19.206\nC 90.787 52.172 18.772\nC 88.654 49.550 17.026\nC 85.702 47.911 18.777\nC 85.929 44.227 17.842\nC 83.968 44.266 14.579\nC 82.818 47.128 12.355\nC 79.407 48.222 11.073\nC 78.205 47.906 7.473\nC 75.275 50.235 8.160\nC 73.774 52.303 11.003\nC 76.771 53.558 12.997\nC 78.431 53.982 9.614\nC 77.108 57.521 9.214\nC 73.346 57.797 9.859\nC 73.292 59.346 13.340\nC 73.392 63.124 12.863\nC 71.902 62.174 9.526\nC 68.425 63.383 10.471\nC 67.429 63.969 6.853\nC 66.485 67.572 6.147\nC 64.966 67.631 2.659\nC 64.417 70.626 0.382\nC 63.535 71.480 -3.199\nC 67.048 72.687 -3.966\nC 68.014 69.914 -6.419\nC 64.721 70.207 -8.268\nC 64.866 74.034 -8.402\nC 68.388 73.569 -9.785\nC 67.125 71.276 -12.555\nC 64.500 73.809 -13.611\nC 67.041 76.615 -13.677\nC 69.039 74.555 -16.177\nC 66.047 74.141 -18.461\nC 65.332 77.891 -18.483\nC 68.882 79.314 -18.165\nC 71.513 76.626 -18.973\nC 74.429 78.951 -18.258\nC 73.142 80.589 -15.082\nC 73.943 79.594 -11.543\nC 72.257 80.472 -8.244\nC 73.796 81.382 -4.927\nC 73.020 79.429 -1.760\nC 71.142 82.372 -0.228\nC 69.096 82.641 -3.437\nC 68.400 78.924 -3.436\nC 67.122 79.184 0.156\nC 64.746 81.965 -0.988\nC 63.537 79.552 -3.692\nC 63.098 76.710 -1.208\nC 61.013 79.066 1.018\nC 59.015 80.074 -2.075\nC 58.089 76.572 -3.110\nC 57.255 75.624 0.494\nC 55.076 78.723 0.849\nC 53.088 78.132 -2.327\nC 52.694 74.455 -1.492\nC 51.204 75.383 1.903\nC 48.870 78.038 0.477\nC 47.606 75.802 -2.300\nC 47.260 72.764 -0.038\nC 45.570 74.847 2.655\nC 43.099 76.264 0.135\nC 42.465 72.746 -1.244\nC 41.887 71.514 2.282\nC 39.251 74.168 3.072\nC 37.559 73.582 -0.286\nC 37.140 69.861 0.407\nC 35.980 70.534 3.965\nC 33.447 73.110 2.771\nC 32.049 70.518 0.388\nC 32.060 67.715 2.953\nC 34.623 65.685 1.012\nC 37.353 63.727 2.715\nC 39.499 63.635 -0.429\nC 41.770 66.257 -1.999\nC 41.823 65.483 -5.706\nC 43.327 67.340 -8.674\nC 40.009 69.210 -8.965\nC 40.547 70.845 -5.519\nC 44.126 71.680 -6.443\nC 42.872 73.297 -9.643\nC 40.194 75.378 -7.935\nC 42.660 76.324 -5.158\nC 45.089 77.490 -7.852\nC 42.387 79.626 -9.483\nC 41.562 81.241 -6.116\nC 45.187 81.831 -5.111\nC 47.008 82.868 -8.240\nC 46.605 86.173 -10.168\nC 45.025 86.023 -13.630\nC 47.643 84.945 -16.169\nC 49.682 83.017 -13.641\nC 46.580 80.939 -12.837\nC 45.790 80.184 -16.499\nC 49.283 78.822 -17.187\nC 49.456 77.029 -13.840\nC 46.149 75.354 -14.673\nC 47.391 74.500 -18.192\nC 50.563 72.946 -16.764\nC 48.698 71.012 -14.086\nC 46.174 69.631 -16.540\nC 48.998 68.620 -18.885\nC 50.936 66.714 -16.234\nC 47.836 64.815 -15.108\nC 46.956 63.899 -18.707\nC 50.480 62.738 -19.533\nC 50.706 60.873 -16.213\nC 47.362 59.236 -16.981\nC 48.161 58.152 -20.541\nC 51.333 56.771 -18.961\nC 52.226 53.084 -18.567\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.61",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "3.57",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "3.90",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "20.44",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-1KX5",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the nucleosome core particle (PDB 1KX5). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.25 nm⁻¹?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "inputs": [
    {
     "name": "1KX5-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1266\n1KX5 nucleosome core particle NCP147: one point per residue (protein CA as C, nucleic-acid P as P), deposited model, angstrom\nP 17.935 138.346 27.497\nP 12.194 138.674 23.960\nP 9.330 136.107 18.600\nP 9.076 132.205 13.158\nP 11.200 126.881 9.610\nP 13.677 120.623 11.069\nP 18.209 117.049 14.993\nP 17.951 113.954 20.920\nP 15.753 112.014 26.487\nP 10.559 109.373 29.505\nP 4.210 108.368 31.043\nP -0.372 105.022 27.943\nP -3.192 101.954 23.260\nP -3.527 97.844 17.906\nP -0.724 94.668 12.685\nP 3.843 90.660 11.284\nP 10.307 88.952 10.935\nP 13.793 86.969 16.563\nP 13.246 84.984 23.007\nP 10.039 80.600 26.758\nP 5.881 76.416 28.940\nP 3.810 69.356 27.548\nP 2.284 64.471 23.186\nP 5.545 60.444 19.592\nP 10.108 58.020 15.543\nP 15.564 57.619 12.510\nP 22.165 58.948 11.216\nP 26.763 63.131 14.504\nP 28.251 65.213 20.755\nP 30.327 62.765 26.471\nP 30.936 57.776 30.916\nP 32.329 51.887 33.053\nP 33.861 45.651 31.658\nP 39.546 42.861 28.655\nP 43.447 42.160 23.258\nP 48.132 44.862 19.258\nP 50.947 50.291 16.429\nP 53.192 56.302 16.900\nP 53.235 62.765 19.536\nP 56.548 64.975 24.811\nP 58.795 64.234 31.228\nP 63.954 61.488 34.367\nP 70.452 59.670 33.687\nP 75.855 59.208 29.902\nP 79.245 60.789 24.818\nP 80.342 62.623 18.390\nP 79.484 67.978 14.621\nP 75.640 73.682 13.426\nP 74.055 79.121 16.577\nP 74.191 83.259 21.870\nP 77.476 85.981 27.067\nP 83.139 88.371 28.911\nP 89.827 88.849 28.114\nP 94.583 90.589 23.712\nP 96.920 94.881 21.271\nP 96.756 96.475 14.286\nP 93.842 100.404 9.983\nP 88.424 102.415 7.040\nP 81.450 102.119 7.509\nP 77.085 105.172 11.513\nP 75.201 108.405 17.429\nP 76.357 114.010 20.618\nP 78.656 120.439 20.712\nP 80.189 125.771 17.282\nP 79.968 129.831 12.048\nP 76.796 131.709 6.735\nP 72.567 130.841 1.860\nP 68.935 126.404 -1.958\nP 63.227 123.325 -0.790\nP 58.581 121.112 3.466\nP 54.734 122.415 9.007\nP 50.881 127.528 10.949\nP 49.306 134.005 11.761\nP 46.776 138.935 8.220\nP 43.498 140.834 2.779\nP 40.540 140.162 -3.320\nP 37.044 136.824 -7.601\nP 35.805 131.129 -11.469\nP 33.170 125.398 -9.787\nP 33.743 120.311 -4.952\nP 28.994 118.938 -0.186\nP 24.643 120.987 4.826\nP 18.547 123.802 5.522\nP 12.713 125.087 2.515\nP 8.537 124.069 -2.259\nP 5.823 121.992 -8.051\nP 5.657 116.671 -11.802\nP 7.193 110.580 -13.184\nP 11.954 105.883 -12.556\nP 14.662 101.259 -8.624\nP 14.742 99.337 -1.972\nP 10.369 97.565 2.845\nP 4.681 94.855 4.393\nP 0.149 90.416 3.178\nP -1.553 85.219 -0.520\nP -1.788 81.453 -5.672\nP 1.147 77.199 -9.892\nP 5.764 75.656 -14.808\nP 12.052 74.040 -14.554\nP 18.493 76.064 -12.857\nP 21.730 74.203 -7.453\nP 21.821 72.729 -0.663\nP 20.465 67.009 2.725\nP 17.087 61.211 4.367\nP 17.911 54.809 2.579\nP 20.231 49.755 -1.349\nP 23.118 47.720 -7.011\nP 28.967 47.538 -9.683\nP 34.718 49.987 -12.343\nP 39.133 55.477 -11.797\nP 42.909 57.267 -6.379\nP 44.460 57.292 0.065\nP 44.643 53.275 5.833\nP 47.440 48.011 8.078\nP 52.589 43.965 6.890\nP 57.107 40.040 3.769\nP 61.688 40.786 -0.992\nP 65.447 43.810 -5.698\nP 66.611 49.335 -8.938\nP 66.729 56.060 -9.031\nP 67.122 61.788 -6.244\nP 67.216 66.162 -0.847\nP 70.970 66.784 4.818\nP 76.388 65.035 8.419\nP 82.500 64.542 8.158\nP 88.511 63.884 5.300\nP 92.098 65.513 -0.178\nP 93.123 68.992 -5.444\nP 91.307 72.323 -11.213\nP 86.548 76.222 -13.912\nP 82.748 81.387 -13.970\nP 78.709 86.450 -11.327\nP 79.759 91.216 -7.072\nP 82.788 93.799 -1.560\nP 88.449 97.586 -1.610\nP 93.318 100.860 -4.636\nP 96.915 103.472 -9.241\nP 96.664 106.634 -15.054\nP 92.426 109.787 -19.244\nP 86.258 109.894 -22.564\nP 80.264 112.279 -21.017\nP 75.173 113.389 -16.960\nP 73.159 116.302 -11.420\nP 74.015 121.040 -6.913\nP 76.052 127.427 -6.192\nP 80.445 132.642 -6.101\nP 81.440 128.440 -23.556\nP 86.794 128.127 -20.487\nP 89.110 124.979 -15.065\nP 89.296 123.670 -8.209\nP 86.311 119.601 -3.877\nP 82.653 113.729 -3.989\nP 77.772 110.009 -7.046\nP 77.124 105.656 -11.821\nP 79.002 102.047 -16.842\nP 83.459 99.033 -20.898\nP 88.961 95.575 -21.580\nP 93.830 92.970 -17.879\nP 96.393 89.955 -12.737\nP 96.121 86.642 -7.064\nP 93.517 85.541 -0.729\nP 88.113 83.468 1.987\nP 80.986 83.498 1.851\nP 77.456 79.891 -2.604\nP 77.347 75.823 -8.305\nP 79.899 70.978 -11.464\nP 82.745 65.046 -12.385\nP 83.963 59.375 -9.614\nP 84.531 55.180 -4.391\nP 81.823 52.679 0.934\nP 77.004 52.043 5.223\nP 71.013 52.391 7.686\nP 65.181 55.985 8.972\nP 61.406 59.416 4.584\nP 59.607 60.402 -1.690\nP 57.412 57.055 -6.733\nP 56.185 51.495 -10.328\nP 54.287 45.078 -10.744\nP 50.550 40.106 -7.939\nP 45.810 38.195 -3.862\nP 41.030 39.816 0.063\nP 37.311 44.136 3.800\nP 35.700 50.498 5.301\nP 34.258 56.377 3.338\nP 34.915 61.924 -0.775\nP 31.589 63.249 -6.360\nP 29.076 61.318 -12.598\nP 23.494 58.097 -14.815\nP 17.114 57.274 -13.359\nP 11.757 58.781 -9.607\nP 8.893 62.168 -4.865\nP 9.018 65.415 1.318\nP 9.973 71.978 2.309\nP 14.594 77.076 2.486\nP 16.751 81.426 -1.836\nP 17.204 84.153 -7.888\nP 14.015 85.921 -13.723\nP 8.365 88.767 -15.030\nP 2.225 90.974 -14.689\nP -1.928 94.445 -12.272\nP -3.486 99.349 -8.358\nP -2.890 103.255 -3.272\nP 0.758 106.690 0.766\nP 6.590 108.002 3.668\nP 13.461 106.527 3.087\nP 17.668 107.965 -1.948\nP 19.383 109.474 -8.374\nP 18.318 113.821 -13.129\nP 18.587 120.572 -14.119\nP 18.102 126.787 -12.179\nP 17.921 131.948 -7.951\nP 21.450 134.574 -3.039\nP 25.771 134.218 1.979\nP 29.192 130.331 6.598\nP 34.396 126.421 6.115\nP 38.511 122.557 2.550\nP 42.132 122.127 -3.401\nP 45.955 125.795 -7.296\nP 49.733 131.221 -8.143\nP 53.006 136.290 -5.798\nP 56.259 139.424 -1.039\nP 59.209 139.550 4.825\nP 62.078 137.013 9.955\nP 62.091 132.184 15.023\nP 63.843 125.864 14.990\nP 62.873 119.915 11.433\nP 67.398 116.865 7.003\nP 72.115 117.058 1.968\nP 78.482 118.805 0.865\nP 84.415 119.965 3.546\nP 88.299 119.613 9.057\nP 90.775 118.158 14.826\nP 89.370 114.444 20.318\nP 87.226 108.849 22.836\nP 81.249 105.033 23.234\nP 79.362 99.406 20.164\nP 78.744 96.593 13.773\nP 82.705 92.829 9.830\nP 88.059 89.051 9.236\nP 91.813 84.740 11.155\nP 93.441 80.651 15.436\nP 91.750 76.964 20.547\nP 89.961 75.479 26.964\nP 83.981 74.699 31.079\nP 77.516 74.424 30.683\nP 71.432 76.475 28.274\nP 67.982 73.961 23.446\nP 67.933 71.497 16.860\nP 69.162 65.163 14.886\nP 70.437 58.372 15.448\nP 69.272 53.106 19.031\nP 67.527 49.435 24.426\nP 63.137 49.294 29.571\nP 57.485 50.853 32.240\nP 51.862 54.393 33.555\nP 48.067 59.793 31.628\nP 44.766 60.672 25.656\nP 43.295 59.424 19.431\nP 41.796 54.668 14.938\nP 38.284 49.105 14.200\nP 33.365 45.581 16.132\nP 27.998 43.956 19.495\nP 23.307 46.250 23.849\nP 20.263 50.741 27.568\nP 19.737 57.356 29.920\nP 21.031 63.646 28.606\nP 21.462 68.553 24.595\nP 21.875 71.805 18.463\nP 18.364 71.482 12.639\nP 12.693 70.125 9.480\nP 6.214 70.247 9.752\nP 0.187 70.697 12.350\nP -3.069 74.578 16.557\nP -3.621 79.585 20.898\nP -1.353 83.621 25.802\nP 4.426 87.096 28.629\nP 9.123 91.511 27.521\nP 13.789 95.307 24.021\nP 13.504 99.112 18.720\nP 10.897 100.679 12.409\nP 5.998 105.188 11.095\nP 2.179 109.996 13.143\nP -1.582 113.567 17.008\nP -0.720 118.379 21.310\nP 3.011 121.415 26.361\nP 9.017 122.013 29.513\nP 15.760 122.112 28.225\nP 21.007 121.663 23.983\nP 23.682 123.030 18.115\nP 23.654 126.912 12.659\nP 22.367 133.131 10.351\nP 19.312 139.004 9.454\nC 106.912 133.801 -29.864\nC 109.230 133.643 -26.850\nC 109.524 131.074 -24.045\nC 108.946 133.453 -21.150\nC 105.457 134.098 -19.767\nC 105.430 130.611 -18.300\nC 109.020 129.421 -17.896\nC 106.945 127.390 -15.475\nC 109.583 124.661 -15.235\nC 108.552 121.287 -16.660\nC 106.963 119.496 -13.711\nC 106.647 119.961 -9.956\nC 103.588 120.999 -8.000\nC 105.766 122.349 -5.205\nC 104.923 125.951 -4.308\nC 108.041 126.995 -2.317\nC 109.881 126.619 -5.630\nC 113.558 126.590 -6.606\nC 114.986 128.245 -3.470\nC 114.696 127.139 0.165\nC 111.398 126.515 1.961\nC 109.456 123.278 1.472\nC 105.917 123.600 2.831\nC 102.787 121.646 1.905\nC 101.474 124.514 -0.221\nC 99.897 123.909 -3.628\nC 96.864 126.039 -4.507\nC 94.641 126.499 -1.457\nC 95.496 128.135 1.866\nC 99.091 127.670 3.103\nC 98.128 130.109 5.856\nC 95.572 129.565 8.626\nC 92.130 131.131 8.350\nC 89.923 131.293 5.264\nC 89.501 129.497 1.943\nC 87.644 131.466 -0.802\nC 84.260 129.756 -1.223\nC 84.907 126.021 -0.687\nC 82.715 123.557 -2.555\nC 79.203 122.811 -1.289\nC 76.405 120.741 -2.797\nC 72.951 122.276 -2.331\nC 70.605 120.956 0.405\nC 68.865 117.965 -1.147\nC 71.537 117.043 -3.674\nC 73.315 114.672 -1.311\nC 70.038 113.349 0.138\nC 69.068 112.375 -3.448\nC 72.482 110.780 -3.992\nC 71.957 108.686 -0.815\nC 68.469 107.582 -1.874\nC 69.969 106.328 -5.157\nC 72.892 104.630 -3.384\nC 70.712 102.796 -0.867\nC 67.972 101.805 -3.286\nC 70.611 100.112 -5.376\nC 72.122 98.053 -2.545\nC 70.691 95.364 -0.273\nC 73.010 95.448 2.744\nC 71.458 95.785 6.186\nC 71.488 99.422 7.325\nC 71.341 99.164 11.123\nC 74.610 98.104 12.851\nC 74.708 94.423 13.794\nC 75.824 94.565 17.440\nC 73.522 97.376 18.535\nC 70.644 95.486 16.893\nC 71.574 92.208 18.520\nC 71.601 93.958 21.905\nC 68.147 95.403 21.374\nC 66.746 92.001 20.408\nC 68.244 90.233 23.454\nC 66.960 92.966 25.756\nC 63.415 92.732 24.395\nC 63.413 88.917 24.570\nC 64.678 88.950 28.194\nC 61.334 90.592 29.065\nC 59.464 87.484 27.913\nC 61.866 84.737 28.987\nC 65.187 85.085 30.796\nC 68.400 83.300 29.918\nC 67.638 82.723 26.270\nC 70.239 82.058 23.632\nC 69.730 82.950 19.937\nC 70.883 81.181 16.814\nC 72.869 83.753 14.791\nC 70.390 83.341 11.900\nC 67.466 84.097 14.298\nC 68.916 87.505 14.950\nC 69.630 88.012 11.244\nC 66.059 86.980 10.332\nC 64.745 89.553 12.810\nC 67.001 92.244 11.363\nC 66.059 91.452 7.746\nC 62.360 91.566 8.728\nC 62.704 94.730 10.842\nC 64.578 96.647 8.186\nC 62.191 95.596 5.410\nC 59.303 96.685 7.648\nC 60.838 100.086 8.375\nC 61.838 100.791 4.810\nC 58.305 99.989 3.540\nC 56.846 102.124 6.346\nC 59.077 105.037 5.291\nC 57.784 104.691 1.725\nC 54.187 105.041 3.061\nC 55.200 107.839 5.458\nC 56.748 109.652 2.444\nC 53.496 109.377 0.474\nC 51.686 110.922 3.496\nC 54.140 113.863 3.646\nC 53.779 114.507 -0.061\nC 50.000 114.255 0.297\nC 50.230 117.204 2.683\nC 52.355 119.116 0.140\nC 55.547 118.610 2.145\nC 58.826 116.905 1.292\nC 59.826 116.476 4.925\nC 58.502 113.431 6.763\nC 57.112 114.073 10.218\nC 55.808 111.897 13.089\nC 52.215 112.641 12.030\nC 53.038 111.040 8.658\nC 54.307 107.864 10.302\nC 51.218 107.898 12.556\nC 48.809 108.339 9.668\nC 50.433 105.502 7.728\nC 50.297 103.136 10.703\nC 46.669 104.022 11.442\nC 45.598 103.317 7.841\nC 47.603 100.101 7.797\nC 45.667 98.972 10.855\nC 48.759 98.930 13.060\nC 47.546 101.783 15.260\nC 43.926 101.353 14.287\nC 90.043 119.832 32.931\nC 86.851 121.146 31.364\nC 88.330 122.502 28.142\nC 86.633 123.237 24.839\nC 82.956 123.245 23.950\nC 83.267 121.259 20.748\nC 86.443 121.052 18.696\nC 90.019 119.790 18.931\nC 91.584 119.459 22.378\nC 90.646 116.589 24.676\nC 87.762 115.831 27.017\nC 85.588 118.213 25.010\nC 82.034 117.292 24.012\nC 81.560 113.790 22.662\nC 83.770 111.754 24.977\nC 81.984 108.753 26.501\nC 83.649 105.417 27.229\nC 81.614 102.328 28.092\nC 79.717 99.750 26.098\nC 76.202 98.936 27.212\nC 75.398 96.706 30.149\nC 72.391 99.027 30.493\nC 72.716 102.147 28.312\nC 71.733 102.980 24.716\nC 70.228 99.779 23.310\nC 67.077 101.159 21.649\nC 69.084 104.371 21.685\nC 71.715 102.344 19.909\nC 69.632 102.384 16.724\nC 71.274 105.586 15.579\nC 69.997 108.654 13.805\nC 72.315 107.749 10.891\nC 70.984 104.202 10.571\nC 67.389 105.539 10.605\nC 68.294 108.119 7.963\nC 69.741 105.318 5.825\nC 66.564 103.243 6.209\nC 64.540 106.302 5.203\nC 66.762 106.862 2.133\nC 66.198 103.313 0.965\nC 62.506 104.147 1.525\nC 62.869 107.144 -0.854\nC 62.771 109.878 1.790\nC 64.606 113.155 0.982\nC 64.047 115.287 4.086\nC 63.544 114.240 7.687\nC 62.045 115.990 10.709\nC 64.152 116.017 13.852\nC 61.384 114.205 15.703\nC 61.350 111.229 13.304\nC 64.209 109.465 15.037\nC 62.519 108.932 18.366\nC 59.287 108.116 16.611\nC 61.044 105.440 14.561\nC 62.650 103.891 17.641\nC 59.228 103.610 19.259\nC 57.769 101.929 16.197\nC 60.723 99.590 15.830\nC 60.485 98.577 19.484\nC 56.767 97.705 19.054\nC 57.514 95.660 15.944\nC 60.248 93.671 17.717\nC 58.219 93.208 20.886\nC 55.439 91.727 18.749\nC 57.575 89.437 16.683\nC 59.878 88.376 19.545\nC 56.954 87.679 21.865\nC 55.597 85.095 19.413\nC 58.999 83.646 18.572\nC 59.705 83.102 22.273\nC 56.249 81.495 22.612\nC 57.302 78.967 19.978\nC 60.691 78.522 21.731\nC 59.046 77.735 25.061\nC 56.477 75.416 23.525\nC 59.378 73.434 22.098\nC 60.933 73.299 25.553\nC 64.034 75.017 24.109\nC 66.298 77.630 25.628\nC 67.522 78.825 22.229\nC 65.457 81.046 19.867\nC 65.846 79.574 16.393\nC 65.526 81.164 12.985\nC 62.427 78.960 12.456\nC 60.820 80.353 15.647\nC 61.312 83.799 14.092\nC 60.089 82.667 10.633\nC 56.914 81.187 12.165\nC 56.320 84.274 14.298\nC 56.740 86.530 11.242\nC 54.394 84.426 9.141\nC 51.547 84.507 11.660\nC 51.956 88.312 11.906\nC 51.456 88.525 8.119\nC 55.121 89.228 7.404\nC 56.332 86.013 5.728\nC 60.103 86.098 5.327\nC 61.946 83.978 2.750\nC 65.562 82.932 3.119\nC 65.723 81.448 6.592\nC 64.050 78.040 6.436\nC 67.153 75.878 6.261\nC 40.565 42.872 34.404\nC 39.740 40.282 31.762\nC 36.505 41.143 29.965\nC 34.098 38.821 31.764\nC 31.308 41.004 33.132\nC 30.887 44.254 35.064\nC 28.289 45.866 37.308\nC 27.490 49.196 38.916\nC 27.789 52.779 37.707\nC 29.711 55.415 39.632\nC 32.011 56.844 36.981\nC 29.074 58.499 35.247\nC 26.946 56.939 32.496\nC 24.884 60.101 32.775\nC 27.899 62.330 33.386\nC 29.043 64.360 30.397\nC 32.666 65.348 29.980\nC 31.335 68.908 30.166\nC 29.902 68.330 33.676\nC 33.113 66.533 34.556\nC 35.162 69.589 33.484\nC 32.727 72.058 35.107\nC 31.698 73.512 31.752\nC 28.593 74.723 29.962\nC 30.063 74.374 26.449\nC 30.053 70.811 24.975\nC 33.309 68.920 25.394\nC 32.060 65.987 23.342\nC 31.147 68.184 20.360\nC 34.385 70.139 20.514\nC 36.315 66.813 20.536\nC 34.412 65.602 17.473\nC 34.871 68.867 15.592\nC 38.640 68.808 16.345\nC 38.800 65.290 14.885\nC 36.610 66.164 11.881\nC 38.724 69.183 10.913\nC 41.987 67.406 10.115\nC 44.106 69.389 12.497\nC 46.302 66.447 13.569\nC 46.329 62.677 13.409\nC 45.493 62.526 17.123\nC 43.597 64.702 19.628\nC 44.290 64.204 23.316\nC 41.434 64.020 25.841\nC 42.348 67.329 27.454\nC 42.427 69.360 24.229\nC 38.655 69.631 23.718\nC 38.211 70.369 27.411\nC 40.675 73.235 27.316\nC 39.262 74.528 24.035\nC 35.610 74.357 25.208\nC 36.581 76.240 28.421\nC 38.264 78.988 26.324\nC 35.294 79.335 23.941\nC 32.943 79.474 26.906\nC 35.094 82.120 28.558\nC 35.210 84.355 25.453\nC 31.480 83.932 24.967\nC 30.886 85.065 28.565\nC 33.109 88.123 28.048\nC 31.354 89.314 24.915\nC 27.904 88.637 26.349\nC 28.740 90.468 29.581\nC 29.797 93.608 27.681\nC 26.974 93.258 25.106\nC 24.276 92.951 27.763\nC 25.780 96.096 29.286\nC 25.441 97.899 25.918\nC 21.802 96.751 25.627\nC 21.113 98.023 29.178\nC 22.865 101.349 28.391\nC 20.498 101.710 25.397\nC 17.492 100.775 27.564\nC 16.942 97.436 25.836\nC 16.564 93.978 27.306\nC 17.296 92.034 24.154\nC 20.824 91.904 22.733\nC 20.901 92.688 18.997\nC 23.925 92.912 16.590\nC 24.367 96.568 17.385\nC 25.065 95.762 21.069\nC 27.619 93.113 20.127\nC 29.389 95.660 17.879\nC 29.319 98.341 20.589\nC 30.709 95.750 23.084\nC 33.501 94.716 20.783\nC 34.597 98.047 19.427\nC 34.593 99.787 22.801\nC 36.771 97.012 24.288\nC 40.457 97.223 23.401\nC 41.169 93.499 23.485\nC 38.001 92.193 21.782\nC 38.440 94.913 19.101\nC 41.912 93.561 18.373\nC 40.784 89.913 18.408\nC 38.023 90.868 15.955\nC 40.028 93.478 14.030\nC 39.318 91.972 10.617\nC 35.792 90.841 11.326\nC 32.572 92.570 10.319\nC 29.522 92.128 12.533\nC 26.504 92.418 10.240\nC 23.992 95.135 11.229\nC 26.486 96.392 13.741\nC 26.979 99.917 12.443\nC 29.980 101.872 13.756\nC 30.897 103.719 16.963\nC 29.778 107.398 17.089\nC 32.933 109.339 16.332\nC 33.372 112.739 14.725\nC 36.893 114.078 14.180\nC 37.487 117.210 16.311\nC 38.436 119.500 13.477\nC 35.027 118.986 11.890\nC 33.022 120.487 14.766\nC 31.950 124.103 14.453\nC 33.281 126.979 16.588\nC 34.996 130.347 16.996\nC 31.307 131.239 16.870\nC 32.157 131.068 13.169\nC 32.495 134.789 12.488\nC 35.784 135.584 10.728\nC 38.201 137.771 12.701\nC 37.201 141.241 11.511\nC 33.456 140.571 11.446\nC 32.898 138.857 8.093\nC 32.947 135.356 6.589\nC 12.119 46.937 21.698\nC 14.616 47.078 18.833\nC 15.702 49.753 16.355\nC 18.851 48.591 14.558\nC 20.195 47.392 12.235\nC 19.094 48.857 8.896\nC 17.631 50.149 6.641\nC 15.661 53.350 7.289\nC 18.740 55.255 8.528\nC 17.667 58.648 7.254\nC 13.944 57.945 7.082\nC 10.914 60.245 7.057\nC 8.588 60.859 4.118\nC 8.637 58.044 1.571\nC 6.066 58.636 -1.175\nC 3.168 59.156 1.242\nC 1.634 56.598 3.632\nC 0.923 58.487 6.859\nC -1.069 57.579 9.973\nC -1.651 60.741 12.007\nC 0.087 64.102 12.441\nC 1.651 65.669 9.352\nC 5.383 66.127 9.920\nC 9.056 65.393 9.220\nC 9.442 65.928 5.459\nC 12.242 63.538 4.456\nC 14.497 64.362 7.397\nC 16.597 67.495 7.003\nC 20.262 66.882 7.771\nC 20.895 68.466 11.156\nC 22.689 71.803 11.269\nC 24.265 72.096 14.698\nC 25.074 75.380 16.452\nC 26.370 76.732 19.725\nC 23.118 78.567 20.371\nC 21.886 76.565 23.388\nC 25.273 76.955 25.059\nC 25.577 80.627 24.197\nC 22.081 80.987 25.708\nC 23.154 79.145 28.895\nC 26.095 81.487 29.355\nC 24.021 84.575 28.653\nC 21.642 83.615 31.509\nC 24.606 83.241 33.871\nC 25.874 86.685 33.176\nC 22.676 88.611 32.460\nC 19.738 86.601 33.876\nC 17.008 88.885 32.526\nC 18.556 89.702 29.153\nC 17.528 88.014 25.953\nC 19.245 87.853 22.530\nC 17.762 88.193 19.020\nC 18.251 85.435 16.459\nC 20.506 87.723 14.358\nC 22.709 88.407 17.393\nC 22.693 84.677 18.093\nC 23.831 84.053 14.469\nC 26.667 86.544 15.121\nC 27.615 84.634 18.353\nC 27.600 81.322 16.493\nC 29.998 82.772 13.866\nC 32.205 84.138 16.638\nC 32.492 80.804 18.417\nC 33.148 78.928 15.152\nC 35.735 81.524 14.020\nC 37.705 81.378 17.300\nC 37.453 77.582 17.343\nC 38.967 77.472 13.824\nC 41.648 80.066 14.632\nC 42.784 78.307 17.799\nC 42.612 74.826 16.222\nC 44.533 75.995 13.136\nC 47.248 77.584 15.283\nC 47.434 74.363 17.408\nC 47.665 72.264 14.214\nC 50.611 74.366 12.939\nC 52.257 74.208 16.355\nC 52.010 70.410 16.392\nC 53.393 70.125 12.831\nC 56.237 72.569 13.515\nC 57.243 70.298 16.390\nC 56.720 67.072 14.471\nC 53.984 65.909 16.843\nC 50.921 64.078 15.625\nC 48.821 64.816 18.705\nC 47.133 68.082 19.604\nC 47.047 68.167 23.390\nC 45.791 70.800 25.795\nC 49.347 72.077 25.690\nC 49.078 72.976 21.970\nC 45.682 74.556 22.673\nC 47.210 76.617 25.484\nC 50.081 77.875 23.356\nC 47.708 78.592 20.415\nC 45.611 80.631 22.874\nC 48.646 82.646 23.973\nC 49.571 83.314 20.345\nC 46.063 84.253 19.270\nC 44.548 86.206 22.138\nC 45.521 89.663 23.271\nC 46.980 90.157 26.759\nC 44.326 89.961 29.465\nC 42.030 87.782 27.413\nC 44.717 85.167 26.880\nC 45.539 85.308 30.601\nC 41.988 84.635 31.746\nC 41.404 82.114 28.918\nC 44.540 80.133 29.914\nC 43.381 80.166 33.575\nC 39.891 78.838 32.701\nC 41.296 76.244 30.290\nC 43.802 74.990 32.861\nC 41.225 74.918 35.607\nC 38.897 72.908 33.402\nC 41.503 70.291 32.434\nC 42.661 69.904 36.025\nC 39.021 69.355 37.150\nC 38.307 66.989 34.294\nC 41.322 64.850 35.202\nC 40.436 64.919 38.916\nC 37.435 62.703 38.242\nC 37.187 58.886 38.127\nC 21.763 182.961 27.355\nC 19.422 185.326 25.504\nC 17.498 186.310 28.646\nC 14.159 185.758 26.897\nC 11.954 182.646 26.915\nC 11.870 179.747 24.451\nC 13.185 176.539 26.059\nC 14.858 175.616 22.766\nC 18.589 175.312 23.511\nC 20.097 171.982 24.574\nC 17.532 169.336 25.607\nC 17.364 167.479 22.302\nC 17.059 170.888 20.683\nC 20.276 172.589 19.538\nC 21.269 169.935 17.013\nC 21.301 166.131 16.874\nC 23.046 163.613 19.127\nC 19.916 161.572 19.831\nC 17.682 159.619 17.413\nC 19.773 156.466 17.802\nC 20.020 152.765 16.996\nC 19.530 150.561 13.960\nC 16.463 151.126 11.784\nC 15.141 147.759 10.587\nC 15.588 143.971 10.525\nC 13.316 142.563 13.236\nC 10.662 140.311 11.708\nC 10.363 142.036 8.335\nC 9.323 145.687 8.598\nC 9.867 146.307 4.852\nC 11.325 149.815 4.990\nC 14.730 148.450 4.115\nC 17.424 147.508 6.595\nC 17.980 143.770 6.885\nC 17.232 141.763 3.725\nC 14.696 138.898 3.966\nC 14.147 135.907 6.291\nC 13.555 132.225 5.242\nC 15.342 129.923 7.748\nC 18.587 128.196 6.718\nC 21.031 126.113 8.732\nC 24.626 127.010 7.936\nC 26.717 124.880 5.522\nC 28.023 121.986 7.570\nC 25.384 122.008 10.296\nC 23.104 119.494 8.564\nC 26.106 117.446 7.403\nC 27.126 117.091 11.092\nC 23.534 116.249 11.964\nC 23.600 113.457 9.333\nC 26.942 112.049 10.650\nC 25.366 111.748 14.119\nC 22.248 110.213 12.696\nC 23.963 107.599 10.586\nC 26.599 106.700 13.154\nC 23.807 105.868 15.613\nC 21.950 103.604 13.203\nC 22.793 100.325 11.509\nC 20.446 100.056 8.542\nC 21.979 99.507 5.102\nC 22.464 102.782 3.228\nC 22.408 101.677 -0.410\nC 18.931 100.847 -1.795\nC 18.369 97.076 -1.918\nC 17.100 96.390 -5.423\nC 19.640 98.680 -7.150\nC 22.438 96.903 -5.209\nC 20.983 93.544 -6.172\nC 21.084 94.421 -9.897\nC 24.714 95.505 -9.646\nC 25.570 92.170 -8.002\nC 23.684 90.259 -10.682\nC 25.286 92.274 -13.501\nC 28.805 91.727 -12.229\nC 28.243 88.052 -11.516\nC 26.658 87.579 -14.906\nC 29.792 88.927 -16.532\nC 31.784 86.210 -14.747\nC 29.353 83.330 -15.311\nC 25.994 83.246 -17.072\nC 22.893 81.540 -15.671\nC 23.572 82.065 -11.953\nC 20.874 82.282 -9.313\nC 21.451 83.833 -5.828\nC 20.201 82.900 -2.407\nC 18.710 86.167 -1.111\nC 20.965 85.981 2.002\nC 24.011 85.775 -0.429\nC 23.054 89.164 -1.769\nC 22.452 90.591 1.728\nC 25.887 89.211 2.795\nC 27.538 90.988 -0.137\nC 25.691 94.205 0.702\nC 26.610 94.070 4.416\nC 30.274 93.451 3.523\nC 30.315 96.092 0.796\nC 28.868 98.777 2.989\nC 31.150 97.995 5.926\nC 34.092 98.114 3.494\nC 33.047 101.505 2.096\nC 32.277 103.051 5.449\nC 35.694 102.001 6.841\nC 37.390 103.300 3.690\nC 35.614 106.657 4.062\nC 36.928 106.808 7.635\nC 40.541 106.342 6.326\nC 39.901 108.770 3.437\nC 38.644 111.410 5.911\nC 41.878 111.005 7.943\nC 43.770 111.656 4.707\nC 41.772 114.830 3.863\nC 42.338 116.060 7.418\nC 46.024 115.263 7.182\nC 46.196 117.665 4.219\nC 44.386 120.380 6.223\nC 41.082 119.884 4.447\nC 37.628 118.847 5.627\nC 36.580 117.855 2.079\nC 37.420 114.355 0.871\nC 38.718 114.115 -2.679\nC 39.670 111.224 -5.030\nC 43.356 111.570 -4.034\nC 42.464 110.900 -0.395\nC 40.699 107.667 -1.374\nC 43.697 106.753 -3.555\nC 46.207 107.406 -0.761\nC 44.215 105.290 1.760\nC 43.899 102.386 -0.700\nC 47.595 102.577 -1.496\nC 48.646 102.539 2.193\nC 46.201 99.666 2.806\nC 47.941 97.685 0.071\nC 44.820 97.528 -2.092\nC 46.587 99.495 -4.801\nC 50.372 99.640 -4.420\nC 5.323 72.575 -10.772\nC 8.363 70.626 -11.930\nC 7.912 70.839 -15.695\nC 9.739 72.942 -18.272\nC 13.183 72.158 -19.672\nC 16.290 73.712 -18.155\nC 19.698 72.607 -19.369\nC 20.856 76.110 -20.258\nC 19.141 77.299 -17.095\nC 15.437 78.124 -17.257\nC 12.766 78.777 -19.862\nC 9.312 78.028 -21.240\nC 8.086 78.711 -24.763\nC 4.593 80.146 -24.702\nC 6.093 83.494 -23.724\nC 6.919 83.243 -20.027\nC 10.635 83.596 -19.270\nC 12.157 86.955 -18.326\nC 15.660 88.415 -17.947\nC 16.257 91.762 -19.612\nC 19.793 92.916 -20.326\nC 21.602 94.259 -17.285\nC 23.749 97.308 -17.865\nC 24.942 100.457 -16.085\nC 23.695 99.286 -12.685\nC 26.716 100.879 -10.962\nC 24.714 104.119 -11.389\nC 22.209 102.544 -9.003\nC 24.799 103.357 -6.340\nC 23.523 106.968 -6.081\nC 25.051 110.221 -4.894\nC 22.672 110.257 -1.855\nC 23.623 106.684 -0.989\nC 27.360 107.413 -1.181\nC 26.849 110.589 0.843\nC 25.097 108.462 3.517\nC 27.961 105.924 3.595\nC 30.475 108.794 3.860\nC 28.411 110.293 6.759\nC 28.463 106.996 8.696\nC 32.219 107.109 7.916\nC 32.292 110.538 9.639\nC 32.796 112.642 6.510\nC 31.432 116.159 6.589\nC 32.248 117.529 3.116\nC 32.614 115.700 -0.185\nC 34.170 116.748 -3.486\nC 32.088 116.272 -6.619\nC 34.464 113.704 -8.097\nC 34.093 111.396 -5.083\nC 30.962 109.721 -6.382\nC 32.399 108.214 -9.538\nC 35.586 107.322 -7.664\nC 33.525 105.455 -5.035\nC 31.572 103.564 -7.694\nC 34.881 102.480 -9.258\nC 36.216 101.265 -5.879\nC 32.994 99.413 -5.078\nC 33.003 97.747 -8.481\nC 36.499 96.413 -7.875\nC 35.524 95.281 -4.386\nC 32.431 93.475 -5.688\nC 34.188 91.937 -8.701\nC 36.789 90.433 -6.386\nC 34.431 88.930 -3.826\nC 31.928 87.731 -6.405\nC 34.728 86.171 -8.514\nC 35.793 83.996 -5.555\nC 32.199 83.275 -4.456\nC 31.292 82.032 -7.904\nC 34.468 79.943 -8.016\nC 33.256 78.223 -4.815\nC 29.767 77.845 -6.384\nC 31.127 76.252 -9.579\nC 33.509 73.956 -7.709\nC 30.518 72.620 -5.811\nC 28.702 72.079 -9.124\nC 25.915 74.422 -8.108\nC 24.161 77.062 -10.201\nC 23.089 79.098 -7.137\nC 25.476 81.339 -5.192\nC 24.947 80.679 -1.496\nC 25.473 82.958 1.454\nC 28.191 80.462 2.415\nC 29.993 80.931 -0.930\nC 30.088 84.692 -0.138\nC 31.191 84.166 3.499\nC 34.084 81.908 2.415\nC 35.066 84.318 -0.325\nC 35.036 87.181 2.158\nC 37.079 85.208 4.635\nC 39.753 84.324 2.122\nC 40.134 87.972 1.273\nC 40.549 88.848 4.929\nC 37.047 90.423 5.231\nC 35.489 87.891 7.654\nC 31.767 88.400 8.014\nC 29.661 87.192 10.929\nC 25.905 86.768 10.759\nC 25.462 84.678 7.636\nC 26.499 81.214 8.619\nC 29.801 79.436 9.015\nC 55.406 35.422 -23.442\nC 52.481 35.056 -21.060\nC 52.905 35.388 -17.299\nC 49.923 37.621 -16.581\nC 49.139 40.971 -14.957\nC 52.723 42.022 -15.756\nC 53.445 41.746 -12.042\nC 56.786 40.081 -12.673\nC 59.938 41.217 -14.480\nC 61.334 44.711 -13.890\nC 59.757 44.480 -10.435\nC 62.023 47.426 -9.621\nC 61.002 51.087 -9.445\nC 60.361 51.185 -13.182\nC 59.523 54.832 -13.784\nC 59.153 57.508 -11.123\nC 55.785 59.229 -11.012\nC 57.511 62.493 -11.888\nC 58.944 60.918 -15.035\nC 55.525 59.577 -16.014\nC 54.065 63.061 -15.496\nC 56.850 64.632 -17.523\nC 57.958 66.593 -14.468\nC 61.195 67.560 -12.798\nC 59.497 68.197 -9.434\nC 59.098 65.137 -7.101\nC 55.562 63.845 -7.329\nC 56.078 61.204 -4.633\nC 57.463 63.717 -2.168\nC 54.530 66.060 -2.925\nC 52.164 63.131 -2.335\nC 53.821 62.361 0.990\nC 53.799 65.995 2.080\nC 50.090 66.328 1.285\nC 49.398 63.219 3.345\nC 51.502 64.308 6.329\nC 50.161 67.835 6.194\nC 46.716 66.822 7.470\nC 44.993 68.619 4.642\nC 42.449 65.837 4.203\nC 41.698 62.229 5.163\nC 42.591 61.050 1.669\nC 44.681 62.361 -1.229\nC 43.840 61.308 -4.784\nC 46.623 60.142 -7.104\nC 46.355 63.026 -9.549\nC 46.524 65.722 -6.822\nC 50.285 65.523 -6.190\nC 50.903 65.442 -9.947\nC 48.798 68.543 -10.616\nC 50.387 70.320 -7.649\nC 53.955 69.310 -8.482\nC 53.388 70.686 -11.980\nC 52.143 74.005 -10.617\nC 55.085 74.300 -8.226\nC 57.529 73.540 -11.057\nC 55.821 76.043 -13.384\nC 55.964 78.838 -10.814\nC 59.587 78.086 -10.061\nC 60.368 78.276 -13.787\nC 58.550 81.608 -14.125\nC 60.532 83.229 -11.334\nC 63.868 81.682 -12.323\nC 63.339 82.843 -15.913\nC 62.748 86.401 -14.714\nC 65.519 86.402 -12.085\nC 67.933 84.981 -14.648\nC 66.978 87.826 -16.998\nC 67.632 90.246 -14.136\nC 71.047 88.733 -13.394\nC 71.820 89.039 -17.092\nC 70.751 92.725 -17.140\nC 73.075 93.368 -14.221\nC 76.036 91.720 -15.963\nC 75.953 88.614 -13.767\nC 75.673 84.894 -14.457\nC 74.717 83.880 -10.911\nC 71.239 84.638 -9.522\nC 71.390 86.199 -6.022\nC 68.480 87.388 -3.791\nC 68.592 90.842 -5.419\nC 67.730 89.307 -8.796\nC 64.792 87.389 -7.343\nC 63.519 90.585 -5.759\nC 63.948 92.548 -8.994\nC 62.143 89.784 -10.907\nC 59.177 89.595 -8.541\nC 58.702 93.270 -7.927\nC 58.885 94.242 -11.609\nC 56.310 91.571 -12.422\nC 52.752 92.663 -11.664\nC 51.415 89.152 -10.990\nC 54.392 87.748 -9.054\nC 54.444 90.929 -7.062\nC 50.800 90.373 -6.096\nC 51.264 86.685 -5.307\nC 54.235 87.642 -3.075\nC 52.612 90.871 -1.901\nC 53.029 89.954 1.744\nC 56.407 88.243 1.406\nC 59.889 89.621 2.228\nC 62.816 88.350 0.178\nC 65.845 88.613 2.476\nC 68.779 90.636 1.049\nC 66.454 91.696 -1.730\nC 66.558 95.464 -1.317\nC 63.883 97.603 -3.048\nC 63.231 98.845 -6.596\nC 64.824 102.176 -7.526\nC 61.990 104.699 -7.188\nC 62.120 108.398 -6.301\nC 58.866 110.343 -6.059\nC 58.876 112.952 -8.856\nC 58.198 115.891 -6.542\nC 61.506 115.221 -4.815\nC 63.618 115.643 -7.976\nC 65.699 118.830 -8.461\nC 64.079 122.155 -9.442\nC 60.978 122.617 -7.260\nC 58.971 119.689 -8.620\nC 59.434 118.253 -12.100\nC 59.945 114.529 -12.740\nC 61.700 115.081 -16.070\nC 64.143 112.307 -16.980\nC 64.051 110.472 -20.309\nC 66.560 107.680 -19.713\nC 64.416 105.210 -17.772\nC 61.381 107.489 -17.525\nC 101.384 41.308 27.496\nC 100.254 43.716 24.777\nC 102.259 45.306 21.964\nC 99.984 48.318 21.481\nC 98.049 47.087 18.401\nC 96.993 50.712 17.918\nC 98.718 54.049 18.700\nC 97.280 56.974 20.664\nC 96.073 59.397 17.991\nC 92.345 59.024 18.554\nC 90.266 55.915 19.206\nC 90.787 52.172 18.772\nC 88.654 49.550 17.026\nC 85.702 47.911 18.777\nC 85.929 44.227 17.842\nC 83.968 44.266 14.579\nC 82.818 47.128 12.355\nC 79.407 48.222 11.073\nC 78.205 47.906 7.473\nC 75.275 50.235 8.160\nC 73.774 52.303 11.003\nC 76.771 53.558 12.997\nC 78.431 53.982 9.614\nC 77.108 57.521 9.214\nC 73.346 57.797 9.859\nC 73.292 59.346 13.340\nC 73.392 63.124 12.863\nC 71.902 62.174 9.526\nC 68.425 63.383 10.471\nC 67.429 63.969 6.853\nC 66.485 67.572 6.147\nC 64.966 67.631 2.659\nC 64.417 70.626 0.382\nC 63.535 71.480 -3.199\nC 67.048 72.687 -3.966\nC 68.014 69.914 -6.419\nC 64.721 70.207 -8.268\nC 64.866 74.034 -8.402\nC 68.388 73.569 -9.785\nC 67.125 71.276 -12.555\nC 64.500 73.809 -13.611\nC 67.041 76.615 -13.677\nC 69.039 74.555 -16.177\nC 66.047 74.141 -18.461\nC 65.332 77.891 -18.483\nC 68.882 79.314 -18.165\nC 71.513 76.626 -18.973\nC 74.429 78.951 -18.258\nC 73.142 80.589 -15.082\nC 73.943 79.594 -11.543\nC 72.257 80.472 -8.244\nC 73.796 81.382 -4.927\nC 73.020 79.429 -1.760\nC 71.142 82.372 -0.228\nC 69.096 82.641 -3.437\nC 68.400 78.924 -3.436\nC 67.122 79.184 0.156\nC 64.746 81.965 -0.988\nC 63.537 79.552 -3.692\nC 63.098 76.710 -1.208\nC 61.013 79.066 1.018\nC 59.015 80.074 -2.075\nC 58.089 76.572 -3.110\nC 57.255 75.624 0.494\nC 55.076 78.723 0.849\nC 53.088 78.132 -2.327\nC 52.694 74.455 -1.492\nC 51.204 75.383 1.903\nC 48.870 78.038 0.477\nC 47.606 75.802 -2.300\nC 47.260 72.764 -0.038\nC 45.570 74.847 2.655\nC 43.099 76.264 0.135\nC 42.465 72.746 -1.244\nC 41.887 71.514 2.282\nC 39.251 74.168 3.072\nC 37.559 73.582 -0.286\nC 37.140 69.861 0.407\nC 35.980 70.534 3.965\nC 33.447 73.110 2.771\nC 32.049 70.518 0.388\nC 32.060 67.715 2.953\nC 34.623 65.685 1.012\nC 37.353 63.727 2.715\nC 39.499 63.635 -0.429\nC 41.770 66.257 -1.999\nC 41.823 65.483 -5.706\nC 43.327 67.340 -8.674\nC 40.009 69.210 -8.965\nC 40.547 70.845 -5.519\nC 44.126 71.680 -6.443\nC 42.872 73.297 -9.643\nC 40.194 75.378 -7.935\nC 42.660 76.324 -5.158\nC 45.089 77.490 -7.852\nC 42.387 79.626 -9.483\nC 41.562 81.241 -6.116\nC 45.187 81.831 -5.111\nC 47.008 82.868 -8.240\nC 46.605 86.173 -10.168\nC 45.025 86.023 -13.630\nC 47.643 84.945 -16.169\nC 49.682 83.017 -13.641\nC 46.580 80.939 -12.837\nC 45.790 80.184 -16.499\nC 49.283 78.822 -17.187\nC 49.456 77.029 -13.840\nC 46.149 75.354 -14.673\nC 47.391 74.500 -18.192\nC 50.563 72.946 -16.764\nC 48.698 71.012 -14.086\nC 46.174 69.631 -16.540\nC 48.998 68.620 -18.885\nC 50.936 66.714 -16.234\nC 47.836 64.815 -15.108\nC 46.956 63.899 -18.707\nC 50.480 62.738 -19.533\nC 50.706 60.873 -16.213\nC 47.362 59.236 -16.981\nC 48.161 58.152 -20.541\nC 51.333 56.771 -18.961\nC 52.226 53.084 -18.567\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.387",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.728",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.854",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.868",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1A34",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "inputs": [
    {
     "name": "1A34-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1A34-capsid-CA.xyz",
     "sha256": "7b54ce07230e83764053971e3fb1d2f7280bc00b28b0d2af09cb6f23dab35ab0",
     "chars": 212598
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "9.48",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "17.30",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "18.95",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "28.60",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1A34",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "inputs": [
    {
     "name": "1A34-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1A34-capsid-CA.xyz",
     "sha256": "7b54ce07230e83764053971e3fb1d2f7280bc00b28b0d2af09cb6f23dab35ab0",
     "chars": 212598
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "7.34",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "9.48",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "18.95",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "28.60",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-1A34",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms (60 copies) of the satellite tobacco mosaic virus capsid (PDB 1A34). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.14 nm⁻¹?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "inputs": [
    {
     "name": "1A34-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1A34-capsid-CA.xyz",
     "sha256": "7b54ce07230e83764053971e3fb1d2f7280bc00b28b0d2af09cb6f23dab35ab0",
     "chars": 212598
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.348",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.703",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.839",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.889",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-CAPS-1A34",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite tobacco mosaic virus capsid (PDB 1A34), generated with the 60 deposited icosahedral operators; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "inputs": [
    {
     "name": "1A34-subunit-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1A34 STMV capsid: CA centroid of each of the 60 capsid-protein copies; columns: component copy x y z (angstrom)\nCP 01 34.979 54.486 27.863\nCP 02 56.868 40.957 7.555\nCP 03 47.202 46.931 -23.194\nCP 04 19.340 64.151 -21.889\nCP 05 11.785 68.820 9.665\nCP 06 7.555 56.868 40.957\nCP 07 -23.194 47.202 46.931\nCP 08 -21.889 19.340 64.151\nCP 09 9.665 11.785 68.820\nCP 10 27.863 34.979 54.486\nCP 11 -23.194 -47.202 -46.931\nCP 12 -21.889 -19.340 -64.151\nCP 13 9.665 -11.785 -68.820\nCP 14 27.863 -34.979 -54.486\nCP 15 7.555 -56.868 -40.957\nCP 16 -19.340 -64.151 -21.889\nCP 17 -11.785 -68.820 9.665\nCP 18 -34.979 -54.486 27.863\nCP 19 -56.868 -40.957 7.555\nCP 20 -47.202 -46.931 -23.194\nCP 21 64.151 -21.889 19.340\nCP 22 68.820 9.665 11.785\nCP 23 54.486 27.863 34.979\nCP 24 40.957 7.555 56.868\nCP 25 46.931 -23.194 47.202\nCP 26 47.202 -46.931 23.194\nCP 27 19.340 -64.151 21.889\nCP 28 11.785 -68.820 -9.665\nCP 29 34.979 -54.486 -27.863\nCP 30 56.868 -40.957 -7.555\nCP 31 -56.868 40.957 -7.555\nCP 32 -47.202 46.931 23.194\nCP 33 -19.340 64.151 21.889\nCP 34 -11.785 68.820 -9.665\nCP 35 -34.979 54.486 -27.863\nCP 36 -54.486 27.863 -34.979\nCP 37 -40.957 7.555 -56.868\nCP 38 -46.931 -23.194 -47.202\nCP 39 -64.151 -21.889 -19.340\nCP 40 -68.820 9.665 -11.785\nCP 41 46.931 23.194 -47.202\nCP 42 64.151 21.889 -19.340\nCP 43 68.820 -9.665 -11.785\nCP 44 54.486 -27.863 -34.979\nCP 45 40.957 -7.555 -56.868\nCP 46 21.889 19.340 -64.151\nCP 47 -9.665 11.785 -68.820\nCP 48 -27.863 34.979 -54.486\nCP 49 -7.555 56.868 -40.957\nCP 50 23.194 47.202 -46.931\nCP 51 -27.863 -34.979 54.486\nCP 52 -7.555 -56.868 40.957\nCP 53 23.194 -47.202 46.931\nCP 54 21.889 -19.340 64.151\nCP 55 -9.665 -11.785 68.820\nCP 56 -40.957 -7.555 56.868\nCP 57 -46.931 23.194 47.202\nCP 58 -64.151 21.889 19.340\nCP 59 -68.820 -9.665 11.785\nCP 60 -54.486 -27.863 34.979\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0",
     "unit": ""
    },
    {
     "label": "B",
     "value": "10",
     "unit": ""
    },
    {
     "label": "C",
     "value": "12",
     "unit": ""
    },
    {
     "label": "D",
     "value": "60",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-6CGR",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "56.86",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "113.70",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "125.17",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "188.01",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-6CGR",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "31.02",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "53.74",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "125.17",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "188.01",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-T-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "13",
     "unit": ""
    },
    {
     "label": "B",
     "value": "16",
     "unit": ""
    },
    {
     "label": "C",
     "value": "19",
     "unit": ""
    },
    {
     "label": "D",
     "value": "21",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-CAPS-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "150",
     "unit": ""
    },
    {
     "label": "B",
     "value": "160",
     "unit": ""
    },
    {
     "label": "C",
     "value": "162",
     "unit": ""
    },
    {
     "label": "D",
     "value": "192",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-HEX-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "150",
     "unit": ""
    },
    {
     "label": "B",
     "value": "160",
     "unit": ""
    },
    {
     "label": "C",
     "value": "162",
     "unit": ""
    },
    {
     "label": "D",
     "value": "900",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-7ARQ",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "17.65",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "29.62",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "33.87",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "41.47",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-7ARQ",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.59",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "8.70",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "9.39",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "41.47",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-7ARQ-SCAF",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "11.91",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "23.81",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "28.58",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "32.42",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-7ARQ-SCAF",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.44",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "8.56",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "9.22",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "40.59",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-7ARQ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.12 nm⁻¹?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.252",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.281",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.655",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.812",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-7ARQ-018",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.180 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.418",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.551",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.626",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.646",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-7ARQ-030",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.300 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.000",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.137",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.272",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.371",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-7ARQ-050",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.025",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.089",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.150",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.159",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-7ARQ-030",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.30. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.30? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.217",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.250",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.289",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.344",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-7ARQ-SCAF-020",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.20. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.20? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "inputs": [
    {
     "name": "7ARQ-nucleotide-points.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/7ARQ-nucleotide-points.txt",
     "sha256": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89",
     "chars": 107707
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.224",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.262",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.341",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.417",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-6CGR",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.035 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.029",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.066",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.257",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.308",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-6CGR",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "inputs": [
    {
     "name": "6CGR-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6CGR-chain-centroids.txt",
     "sha256": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33",
     "chars": 108192
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.0041",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.0155",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.0259",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.0465",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-SHELL-X",
   "family": "superlattice_shell",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. For the particle nearest the centroid of all particles, how many particles form its nearest-neighbour shell, and at what centre-to-centre distance? Distances are rounded to 0.01 nm.",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-X-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (X-linker), nanometres\nAu 12.847380 -0.299070 -83.444804\nAu -9.428681 41.727890 -72.787796\nAu -9.116806 13.587162 -72.638921\nAu -8.804932 -14.553566 -72.490047\nAu -8.493058 -42.694294 -72.341172\nAu 29.905357 42.195845 -66.733502\nAu 30.217232 14.055117 -66.584627\nAu 30.529106 -14.085611 -66.435753\nAu 30.840980 -42.226339 -66.286878\nAu -31.080992 27.473393 -61.833038\nAu -30.769118 -0.667335 -61.684163\nAu -30.457244 -28.808063 -61.535289\nAu 7.941171 56.082076 -55.927619\nAu 8.253046 27.941348 -55.778744\nAu 8.564920 -0.199380 -55.629870\nAu 8.876794 -28.340108 -55.480995\nAu 9.188668 -56.480836 -55.332121\nAu -53.045178 41.359624 -51.027155\nAu -52.733304 13.218896 -50.878280\nAu -52.421430 -14.921832 -50.729406\nAu -52.109556 -43.062560 -50.580531\nAu 47.587084 28.409303 -49.724450\nAu 47.898958 0.268575 -49.575576\nAu 48.210832 -27.872153 -49.426701\nAu -14.023015 69.968307 -45.121736\nAu -13.711140 41.827579 -44.972861\nAu -13.399266 13.686851 -44.823986\nAu -13.087392 -14.453876 -44.675112\nAu -12.775518 -42.594604 -44.526237\nAu -12.463644 -70.735332 -44.377363\nAu -74.385616 -1.035600 -39.923523\nAu 25.311023 70.436263 -39.067442\nAu 25.622898 42.295535 -38.918567\nAu 25.934772 14.154807 -38.769693\nAu 26.246646 -13.985921 -38.620818\nAu 26.558520 -42.126649 -38.471944\nAu 26.870394 -70.267377 -38.323069\nAu -35.675326 55.713811 -34.166978\nAu -35.363452 27.573083 -34.018103\nAu -35.051578 -0.567645 -33.869229\nAu -34.739704 -28.708373 -33.720354\nAu -34.427830 -56.849101 -33.571480\nAu 64.956936 42.763490 -32.864273\nAu 65.268810 14.622762 -32.715399\nAu 65.580684 -13.517966 -32.566524\nAu 65.892558 -41.658694 -32.417650\nAu 3.658712 56.181766 -28.112684\nAu 3.970586 28.041038 -27.963809\nAu 4.282460 -0.099690 -27.814935\nAu 4.594334 -28.240418 -27.666060\nAu 4.906208 -56.381146 -27.517186\nAu -57.327638 41.459314 -23.212220\nAu -57.015764 13.318586 -23.063345\nAu -56.703890 -14.822142 -22.914471\nAu -56.392016 -42.962870 -22.765596\nAu 42.992750 56.649721 -22.058390\nAu 43.304624 28.508993 -21.909516\nAu 43.616498 0.368265 -21.760641\nAu 43.928372 -27.772463 -21.611766\nAu 44.240246 -55.913191 -21.462892\nAu -18.305474 70.067997 -17.306801\nAu -17.993600 41.927269 -17.157926\nAu -17.681726 13.786541 -17.009052\nAu -17.369852 -14.354187 -16.860177\nAu -17.057978 -42.494915 -16.711303\nAu -16.746104 -70.635642 -16.562428\nAu 82.950536 0.836220 -15.706347\nAu -78.979950 27.204818 -12.257462\nAu -78.668076 -0.935910 -12.108588\nAu -78.356202 -29.076638 -11.959713\nAu 21.028564 70.535953 -11.252507\nAu 21.340438 42.395225 -11.103632\nAu 21.652312 14.254497 -10.954758\nAu 21.964186 -13.886231 -10.805883\nAu 22.276060 -42.026959 -10.657009\nAu 22.587934 -70.167687 -10.508134\nAu -39.957786 55.813501 -6.352043\nAu -39.645912 27.672773 -6.203168\nAu -39.334038 -0.467955 -6.054294\nAu -39.022164 -28.608683 -5.905419\nAu -38.710290 -56.749411 -5.756545\nAu 60.674476 42.863180 -5.049338\nAu 60.986350 14.722452 -4.900464\nAu 61.298224 -13.418276 -4.751589\nAu 61.610098 -41.559004 -4.602715\nAu -0.935622 84.422184 -0.446624\nAu -0.623748 56.281456 -0.297749\nAu -0.311874 28.140728 -0.148875\nAu 0.000000 0.000000 0.000000\nAu 0.311874 -28.140728 0.148875\nAu 0.623748 -56.281456 0.297749\nAu 0.935622 -84.422184 0.446624\nAu -61.610098 41.559004 4.602715\nAu -61.298224 13.418276 4.751589\nAu -60.986350 -14.722452 4.900464\nAu -60.674476 -42.863180 5.049338\nAu 38.710290 56.749411 5.756545\nAu 39.022164 28.608683 5.905419\nAu 39.334038 0.467955 6.054294\nAu 39.645912 -27.672773 6.203168\nAu 39.957786 -55.813501 6.352043\nAu -22.587934 70.167687 10.508134\nAu -22.276060 42.026959 10.657009\nAu -21.964186 13.886231 10.805883\nAu -21.652312 -14.254497 10.954758\nAu -21.340438 -42.395225 11.103632\nAu -21.028564 -70.535953 11.252507\nAu 78.356202 29.076638 11.959713\nAu 78.668076 0.935910 12.108588\nAu 78.979950 -27.204818 12.257462\nAu -82.950536 -0.836220 15.706347\nAu 16.746104 70.635642 16.562428\nAu 17.057978 42.494915 16.711303\nAu 17.369852 14.354187 16.860177\nAu 17.681726 -13.786541 17.009052\nAu 17.993600 -41.927269 17.157926\nAu 18.305474 -70.067997 17.306801\nAu -44.240246 55.913191 21.462892\nAu -43.928372 27.772463 21.611766\nAu -43.616498 -0.368265 21.760641\nAu -43.304624 -28.508993 21.909516\nAu -42.992750 -56.649721 22.058390\nAu 56.392016 42.962870 22.765596\nAu 56.703890 14.822142 22.914471\nAu 57.015764 -13.318586 23.063345\nAu 57.327638 -41.459314 23.212220\nAu -4.906208 56.381146 27.517186\nAu -4.594334 28.240418 27.666060\nAu -4.282460 0.099690 27.814935\nAu -3.970586 -28.041038 27.963809\nAu -3.658712 -56.181766 28.112684\nAu -65.892558 41.658694 32.417650\nAu -65.580684 13.517966 32.566524\nAu -65.268810 -14.622762 32.715399\nAu -64.956936 -42.763490 32.864273\nAu 34.427830 56.849101 33.571480\nAu 34.739704 28.708373 33.720354\nAu 35.051578 0.567645 33.869229\nAu 35.363452 -27.573083 34.018103\nAu 35.675326 -55.713811 34.166978\nAu -26.870394 70.267377 38.323069\nAu -26.558520 42.126649 38.471944\nAu -26.246646 13.985921 38.620818\nAu -25.934772 -14.154807 38.769693\nAu -25.622898 -42.295535 38.918567\nAu -25.311023 -70.436263 39.067442\nAu 74.385616 1.035600 39.923523\nAu 12.463644 70.735332 44.377363\nAu 12.775518 42.594604 44.526237\nAu 13.087392 14.453876 44.675112\nAu 13.399266 -13.686851 44.823986\nAu 13.711140 -41.827579 44.972861\nAu 14.023015 -69.968307 45.121736\nAu -48.210832 27.872153 49.426701\nAu -47.898958 -0.268575 49.575576\nAu -47.587084 -28.409303 49.724450\nAu 52.109556 43.062560 50.580531\nAu 52.421430 14.921832 50.729406\nAu 52.733304 -13.218896 50.878280\nAu 53.045178 -41.359624 51.027155\nAu -9.188668 56.480836 55.332121\nAu -8.876794 28.340108 55.480995\nAu -8.564920 0.199380 55.629870\nAu -8.253046 -27.941348 55.778744\nAu -7.941171 -56.082076 55.927619\nAu 30.457244 28.808063 61.535289\nAu 30.769118 0.667335 61.684163\nAu 31.080992 -27.473393 61.833038\nAu -30.840980 42.226339 66.286878\nAu -30.529106 14.085611 66.435753\nAu -30.217232 -14.055117 66.584627\nAu -29.905357 -42.195845 66.733502\nAu 8.493058 42.694294 72.341172\nAu 8.804932 14.553566 72.490047\nAu 9.116806 -13.587162 72.638921\nAu 9.428681 -41.727890 72.787796\nAu -12.847380 0.299070 83.444804\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6 at 39.80 nm"
    },
    {
     "label": "B",
     "value": "8 at 28.14 nm"
    },
    {
     "label": "C",
     "value": "5 at 28.14 nm"
    },
    {
     "label": "D",
     "value": "12 at 28.14 nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-EDGE-26",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of this particle lattice, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-26-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (26-linker), nanometres\nAu -31.516436 -8.760683 -116.406463\nAu 24.823795 -49.051954 -107.694870\nAu 7.093954 -12.915774 -105.614197\nAu -10.635887 23.220407 -103.533524\nAu -28.365728 59.356587 -101.452851\nAu 45.704344 -17.070864 -94.821931\nAu 27.974503 19.065317 -92.741258\nAu -24.161665 -73.957726 -92.557921\nAu 10.244662 55.201497 -90.660585\nAu -41.891506 -37.821545 -90.477248\nAu -59.621347 -1.685365 -88.396575\nAu -77.351188 34.450815 -86.315902\nAu 84.314734 -21.225954 -84.029665\nAu 66.584893 14.910226 -81.948992\nAu 14.448725 -78.112816 -81.765655\nAu 48.855052 51.046407 -79.868319\nAu -3.281116 -41.976636 -79.684982\nAu 31.125210 87.182587 -77.787646\nAu -21.010957 -5.840455 -77.604309\nAu -38.740799 30.295725 -75.523636\nAu -56.470640 66.431905 -73.442963\nAu 53.059115 -82.267907 -70.973388\nAu 87.465441 46.891316 -69.076052\nAu 35.329274 -46.131726 -68.892716\nAu 17.599433 -9.995546 -66.812043\nAu -0.130409 26.140635 -64.731370\nAu -52.266576 -66.882408 -64.548033\nAu -17.860250 62.276815 -62.650697\nAu -69.996417 -30.746227 -62.467360\nAu -35.590091 98.412995 -60.570024\nAu -87.726259 5.389953 -60.386687\nAu 73.939664 -50.286816 -58.100449\nAu 56.209823 -14.150636 -56.019776\nAu 4.073655 -107.173678 -55.836440\nAu 38.479981 21.985544 -53.939103\nAu -13.656186 -71.037498 -53.755767\nAu 20.750140 58.121725 -51.858430\nAu -31.386027 -34.901318 -51.675094\nAu 3.020299 94.257905 -49.777758\nAu -49.115869 1.234863 -49.594421\nAu -66.845710 37.371043 -47.513748\nAu -84.575551 73.507223 -45.433075\nAu 94.820213 -18.305726 -45.227510\nAu 77.090371 17.830454 -43.146837\nAu 24.954204 -75.192588 -42.963500\nAu 59.360530 53.966634 -41.066164\nAu 7.224363 -39.056408 -40.882827\nAu 41.630689 90.102815 -38.985491\nAu -10.505479 -2.920228 -38.802154\nAu -62.641646 -95.943270 -38.618818\nAu -28.235320 33.215953 -36.721481\nAu -80.371488 -59.807090 -36.538145\nAu -45.965161 69.352133 -34.640809\nAu -98.101329 -23.670909 -34.457472\nAu -115.831170 12.465271 -32.376799\nAu 115.700761 13.675364 -32.354571\nAu 63.564594 -79.347679 -32.171234\nAu 97.970920 49.811544 -30.273898\nAu 45.834752 -43.211498 -30.090561\nAu 80.241079 85.947724 -28.193225\nAu 28.104911 -7.075318 -28.009888\nAu -24.031256 -100.098360 -27.826551\nAu 10.375070 29.060862 -25.929215\nAu -41.761098 -63.962180 -25.745878\nAu -7.354771 65.197043 -23.848542\nAu -59.490939 -27.826000 -23.665205\nAu -25.084612 101.333223 -21.767869\nAu -77.220780 8.310181 -21.584533\nAu -94.950621 44.446361 -19.503860\nAu 84.445142 -47.366589 -19.298295\nAu 66.715301 -11.230408 -17.217622\nAu 14.579134 -104.253451 -17.034285\nAu 48.985460 24.905772 -15.136949\nAu -3.150708 -68.117270 -14.953612\nAu 31.255619 61.041952 -13.056276\nAu -20.880549 -31.981090 -12.872939\nAu 13.525778 97.178133 -10.975603\nAu -38.610390 4.155090 -10.792266\nAu -56.340231 40.291271 -8.711593\nAu -108.476399 -52.731772 -8.528256\nAu -74.070072 76.427451 -6.630920\nAu 105.325691 -15.385499 -6.425356\nAu 53.189524 -108.408541 -6.242019\nAu 87.595850 20.750682 -4.344683\nAu 35.459682 -72.272361 -4.161346\nAu 69.866009 56.886862 -2.264010\nAu 17.729841 -36.136180 -2.080673\nAu 52.136168 93.023042 -0.183337\nAu 0.000000 0.000000 0.000000\nAu -52.136168 -93.023042 0.183337\nAu -17.729841 36.136180 2.080673\nAu -69.866009 -56.886862 2.264010\nAu -35.459682 72.272361 4.161346\nAu -87.595850 -20.750682 4.344683\nAu -53.189524 108.408541 6.242019\nAu -105.325691 15.385499 6.425356\nAu 74.070072 -76.427451 6.630920\nAu 108.476399 52.731772 8.528256\nAu 56.340231 -40.291271 8.711593\nAu 38.610390 -4.155090 10.792266\nAu -13.525778 -97.178133 10.975603\nAu 20.880549 31.981090 12.872939\nAu -31.255619 -61.041952 13.056276\nAu 3.150708 68.117270 14.953612\nAu -48.985460 -24.905772 15.136949\nAu -14.579134 104.253451 17.034285\nAu -66.715301 11.230408 17.217622\nAu -84.445142 47.366589 19.298295\nAu 94.950621 -44.446361 19.503860\nAu 77.220780 -8.310181 21.584533\nAu 25.084612 -101.333223 21.767869\nAu 59.490939 27.826000 23.665205\nAu 7.354771 -65.197043 23.848542\nAu 41.761098 63.962180 25.745878\nAu -10.375070 -29.060862 25.929215\nAu 24.031256 100.098360 27.826551\nAu -28.104911 7.075318 28.009888\nAu -80.241079 -85.947724 28.193225\nAu -45.834752 43.211498 30.090561\nAu -97.970920 -49.811544 30.273898\nAu -63.564594 79.347679 32.171234\nAu -115.700761 -13.675364 32.354571\nAu 115.831170 -12.465271 32.376799\nAu 98.101329 23.670909 34.457472\nAu 45.965161 -69.352133 34.640809\nAu 80.371488 59.807090 36.538145\nAu 28.235320 -33.215953 36.721481\nAu 62.641646 95.943270 38.618818\nAu 10.505479 2.920228 38.802154\nAu -41.630689 -90.102815 38.985491\nAu -7.224363 39.056408 40.882827\nAu -59.360530 -53.966634 41.066164\nAu -24.954204 75.192588 42.963500\nAu -77.090371 -17.830454 43.146837\nAu -94.820213 18.305726 45.227510\nAu 84.575551 -73.507223 45.433075\nAu 66.845710 -37.371043 47.513748\nAu 49.115869 -1.234863 49.594421\nAu -3.020299 -94.257905 49.777758\nAu 31.386027 34.901318 51.675094\nAu -20.750140 -58.121725 51.858430\nAu 13.656186 71.037498 53.755767\nAu -38.479981 -21.985544 53.939103\nAu -4.073655 107.173678 55.836440\nAu -56.209823 14.150636 56.019776\nAu -73.939664 50.286816 58.100449\nAu 87.726259 -5.389953 60.386687\nAu 35.590091 -98.412995 60.570024\nAu 69.996417 30.746227 62.467360\nAu 17.860250 -62.276815 62.650697\nAu 52.266576 66.882408 64.548033\nAu 0.130409 -26.140635 64.731370\nAu -17.599433 9.995546 66.812043\nAu -35.329274 46.131726 68.892716\nAu -87.465441 -46.891316 69.076052\nAu -53.059115 82.267907 70.973388\nAu 56.470640 -66.431905 73.442963\nAu 38.740799 -30.295725 75.523636\nAu 21.010957 5.840455 77.604309\nAu -31.125210 -87.182587 77.787646\nAu 3.281116 41.976636 79.684982\nAu -48.855052 -51.046407 79.868319\nAu -14.448725 78.112816 81.765655\nAu -66.584893 -14.910226 81.948992\nAu -84.314734 21.225954 84.029665\nAu 77.351188 -34.450815 86.315902\nAu 59.621347 1.685365 88.396575\nAu 41.891506 37.821545 90.477248\nAu -10.244662 -55.201497 90.660585\nAu 24.161665 73.957726 92.557921\nAu -27.974503 -19.065317 92.741258\nAu -45.704344 17.070864 94.821931\nAu 28.365728 -59.356587 101.452851\nAu 10.635887 -23.220407 103.533524\nAu -7.093954 12.915774 105.614197\nAu -24.823795 49.051954 107.694870\nAu 31.516436 8.760683 116.406463\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "32.91",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "40.31",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "57.00",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "69.81",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-EDGE-52",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of this particle lattice, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-52-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (52-linker), nanometres\nAu 40.455306 7.080778 -157.217209\nAu -3.771172 -55.301846 -152.746536\nAu -12.765956 -1.889623 -152.655494\nAu -21.760739 51.522601 -152.564452\nAu -65.987217 -10.860023 -148.093778\nAu 83.749600 -68.079951 -121.470756\nAu 74.754817 -14.667728 -121.379714\nAu 65.760034 38.744495 -121.288672\nAu 56.765251 92.156718 -121.197630\nAu 30.528339 -77.050352 -116.909041\nAu 21.533556 -23.638128 -116.817999\nAu 12.538772 29.774095 -116.726957\nAu 3.543989 83.186318 -116.635915\nAu -22.692922 -86.020752 -112.347325\nAu -31.687706 -32.608529 -112.256283\nAu -40.682489 20.803694 -112.165241\nAu -49.677272 74.215918 -112.074199\nAu -75.914184 -94.991152 -107.785610\nAu -84.908967 -41.578929 -107.694568\nAu -93.903750 11.833294 -107.603526\nAu -102.898534 65.245517 -107.512484\nAu 109.054328 -36.416234 -85.542220\nAu 100.059545 16.995989 -85.451178\nAu 91.064762 70.408212 -85.360136\nAu 64.827850 -98.798857 -81.071546\nAu 55.833067 -45.386634 -80.980504\nAu 46.838284 8.025589 -80.889462\nAu 37.843500 61.437812 -80.798420\nAu 28.848717 114.850035 -80.707378\nAu 11.606589 -107.769258 -76.509831\nAu 2.611806 -54.357034 -76.418789\nAu -6.382978 -0.944811 -76.327747\nAu -15.377761 52.467412 -76.236705\nAu -24.372544 105.879635 -76.145663\nAu -41.614673 -116.739658 -71.948115\nAu -50.609456 -63.327435 -71.857073\nAu -59.604239 -9.915212 -71.766031\nAu -68.599023 43.497012 -71.674989\nAu -77.593806 96.909235 -71.583947\nAu -103.830717 -72.297835 -67.295358\nAu -112.825501 -18.885612 -67.204316\nAu -121.820284 34.526611 -67.113274\nAu 143.353840 -58.164740 -49.704725\nAu 134.359056 -4.752517 -49.613683\nAu 125.364273 48.659707 -49.522641\nAu 116.369490 102.071930 -49.431599\nAu 99.127362 -120.547363 -45.234052\nAu 90.132578 -67.135140 -45.143010\nAu 81.137795 -13.722917 -45.051968\nAu 72.143012 39.689306 -44.960926\nAu 63.148228 93.101530 -44.869884\nAu 54.153445 146.513753 -44.778842\nAu 45.906100 -129.517763 -40.672336\nAu 36.911317 -76.105540 -40.581294\nAu 27.916533 -22.693317 -40.490252\nAu 18.921750 30.718906 -40.399210\nAu 9.926967 84.131129 -40.308168\nAu 0.932184 137.543352 -40.217126\nAu -7.315161 -138.488164 -36.110621\nAu -16.309945 -85.075941 -36.019579\nAu -25.304728 -31.663717 -35.928537\nAu -34.299511 21.748506 -35.837495\nAu -43.294295 75.160729 -35.746453\nAu -52.289078 128.572952 -35.655411\nAu -60.536423 -147.458564 -31.548905\nAu -69.531206 -94.046341 -31.457863\nAu -78.525989 -40.634118 -31.366821\nAu -87.520773 12.778106 -31.275779\nAu -96.515556 66.190329 -31.184737\nAu -105.510339 119.602552 -31.093695\nAu -122.752468 -103.016741 -26.896148\nAu -131.747251 -49.604518 -26.805106\nAu -140.742034 3.807705 -26.714064\nAu -149.736817 57.219928 -26.623022\nAu 159.663784 26.911201 -13.685146\nAu 124.432089 -88.883646 -9.305515\nAu 115.437306 -35.471423 -9.214473\nAu 106.442523 17.940801 -9.123431\nAu 97.447740 71.353024 -9.032389\nAu 88.452956 124.765247 -8.941347\nAu 71.210828 -97.854046 -4.743799\nAu 62.216045 -44.441823 -4.652757\nAu 53.221261 8.970400 -4.561715\nAu 44.226478 62.382623 -4.470674\nAu 35.231695 115.794847 -4.379632\nAu 26.984350 -160.236670 -0.273126\nAu 17.989567 -106.824446 -0.182084\nAu 8.994783 -53.412223 -0.091042\nAu 0.000000 0.000000 0.000000\nAu -8.994783 53.412223 0.091042\nAu -17.989567 106.824446 0.182084\nAu -26.984350 160.236670 0.273126\nAu -35.231695 -115.794847 4.379632\nAu -44.226478 -62.382623 4.470674\nAu -53.221261 -8.970400 4.561715\nAu -62.216045 44.441823 4.652757\nAu -71.210828 97.854046 4.743799\nAu -88.452956 -124.765247 8.941347\nAu -97.447740 -71.353024 9.032389\nAu -106.442523 -17.940801 9.123431\nAu -115.437306 35.471423 9.214473\nAu -124.432089 88.883646 9.305515\nAu -159.663784 -26.911201 13.685146\nAu 149.736817 -57.219928 26.623022\nAu 140.742034 -3.807705 26.714064\nAu 131.747251 49.604518 26.805106\nAu 122.752468 103.016741 26.896148\nAu 105.510339 -119.602552 31.093695\nAu 96.515556 -66.190329 31.184737\nAu 87.520773 -12.778106 31.275779\nAu 78.525989 40.634118 31.366821\nAu 69.531206 94.046341 31.457863\nAu 60.536423 147.458564 31.548905\nAu 52.289078 -128.572952 35.655411\nAu 43.294295 -75.160729 35.746453\nAu 34.299511 -21.748506 35.837495\nAu 25.304728 31.663717 35.928537\nAu 16.309945 85.075941 36.019579\nAu 7.315161 138.488164 36.110621\nAu -0.932184 -137.543352 40.217126\nAu -9.926967 -84.131129 40.308168\nAu -18.921750 -30.718906 40.399210\nAu -27.916533 22.693317 40.490252\nAu -36.911317 76.105540 40.581294\nAu -45.906100 129.517763 40.672336\nAu -54.153445 -146.513753 44.778842\nAu -63.148228 -93.101530 44.869884\nAu -72.143012 -39.689306 44.960926\nAu -81.137795 13.722917 45.051968\nAu -90.132578 67.135140 45.143010\nAu -99.127362 120.547363 45.234052\nAu -116.369490 -102.071930 49.431599\nAu -125.364273 -48.659707 49.522641\nAu -134.359056 4.752517 49.613683\nAu -143.353840 58.164740 49.704725\nAu 121.820284 -34.526611 67.113274\nAu 112.825501 18.885612 67.204316\nAu 103.830717 72.297835 67.295358\nAu 77.593806 -96.909235 71.583947\nAu 68.599023 -43.497012 71.674989\nAu 59.604239 9.915212 71.766031\nAu 50.609456 63.327435 71.857073\nAu 41.614673 116.739658 71.948115\nAu 24.372544 -105.879635 76.145663\nAu 15.377761 -52.467412 76.236705\nAu 6.382978 0.944811 76.327747\nAu -2.611806 54.357034 76.418789\nAu -11.606589 107.769258 76.509831\nAu -28.848717 -114.850035 80.707378\nAu -37.843500 -61.437812 80.798420\nAu -46.838284 -8.025589 80.889462\nAu -55.833067 45.386634 80.980504\nAu -64.827850 98.798857 81.071546\nAu -91.064762 -70.408212 85.360136\nAu -100.059545 -16.995989 85.451178\nAu -109.054328 36.416234 85.542220\nAu 102.898534 -65.245517 107.512484\nAu 93.903750 -11.833294 107.603526\nAu 84.908967 41.578929 107.694568\nAu 75.914184 94.991152 107.785610\nAu 49.677272 -74.215918 112.074199\nAu 40.682489 -20.803694 112.165241\nAu 31.687706 32.608529 112.256283\nAu 22.692922 86.020752 112.347325\nAu -3.543989 -83.186318 116.635915\nAu -12.538772 -29.774095 116.726957\nAu -21.533556 23.638128 116.817999\nAu -30.528339 77.050352 116.909041\nAu -56.765251 -92.156718 121.197630\nAu -65.760034 -38.744495 121.288672\nAu -74.754817 14.667728 121.379714\nAu -83.749600 68.079951 121.470756\nAu 65.987217 10.860023 148.093778\nAu 21.760739 -51.522601 152.564452\nAu 12.765956 1.889623 152.655494\nAu 3.771172 55.301846 152.746536\nAu -40.455306 -7.080778 157.217209\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "38.30",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "44.23",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "54.16",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "76.60",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-D111-39",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the spacing between adjacent close-packed (most densely populated) lattice planes of the particles, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-39-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (39-linker), nanometres\nAu -4.439877 -39.787717 -137.478544\nAu 31.780205 34.493440 -135.289860\nAu -47.740372 11.906255 -134.470157\nAu 30.609209 -11.330874 -121.990010\nAu -48.911368 -33.918059 -121.170307\nAu -12.691286 40.363098 -118.981623\nAu 29.438213 -57.155188 -108.690161\nAu -50.082364 -79.742374 -107.870458\nAu 65.658295 17.125969 -106.501477\nAu -13.862282 -5.461216 -105.681773\nAu -93.382859 -28.048402 -104.862070\nAu 22.357800 68.819941 -103.493089\nAu -57.162777 46.232756 -102.673386\nAu 28.267216 -102.979503 -95.390311\nAu 64.487298 -28.698345 -93.201627\nAu -15.033279 -51.285531 -92.381924\nAu 100.707380 45.582812 -91.012943\nAu 21.186803 22.995627 -90.193240\nAu -58.333774 0.408441 -89.373537\nAu 57.406885 97.276784 -88.004556\nAu -22.113692 74.689599 -87.184852\nAu -101.634269 52.102413 -86.365149\nAu 63.316302 -74.522659 -79.901778\nAu -16.204275 -97.109845 -79.082075\nAu 99.536384 -0.241502 -77.713094\nAu 20.015807 -22.828687 -76.893390\nAu -59.504770 -45.415873 -76.073687\nAu 56.235889 51.452470 -74.704706\nAu -23.284688 28.865284 -73.885003\nAu -102.805265 6.278099 -73.065300\nAu 12.935394 103.146442 -71.696319\nAu -66.585183 80.559256 -70.876616\nAu 98.365388 -46.065816 -64.413244\nAu 18.844811 -68.653002 -63.593541\nAu -60.675766 -91.240187 -62.773838\nAu 55.064893 5.628156 -61.404857\nAu -24.455684 -16.959030 -60.585154\nAu -103.976261 -39.546215 -59.765450\nAu 91.284975 79.909313 -59.216173\nAu 11.764398 57.322128 -58.396469\nAu -67.756179 34.734942 -57.576766\nAu -31.536097 109.016100 -55.388082\nAu 97.194392 -91.890131 -51.113395\nAu 17.673815 -114.477316 -50.293692\nAu 133.414474 -17.608973 -48.924711\nAu 53.893897 -40.196159 -48.105007\nAu -25.626680 -62.783344 -47.285304\nAu -105.147257 -85.370529 -46.465601\nAu 90.113979 34.084999 -45.916323\nAu 10.593402 11.497813 -45.096620\nAu -68.927175 -11.089372 -44.276917\nAu 46.813484 85.778971 -42.907936\nAu -32.707093 63.191785 -42.088232\nAu -112.227670 40.604600 -41.268529\nAu 3.512989 137.472943 -39.899548\nAu -76.007588 114.885757 -39.079845\nAu 52.722900 -86.020473 -34.805158\nAu -26.797676 -108.607658 -33.985455\nAu 88.942982 -11.739316 -32.616474\nAu 9.422405 -34.326501 -31.796770\nAu -70.098171 -56.913686 -30.977067\nAu 125.163064 62.541842 -30.427790\nAu 45.642487 39.954656 -29.608086\nAu -33.878090 17.367471 -28.788383\nAu -113.398666 -5.219714 -27.968680\nAu 81.862569 114.235814 -27.419402\nAu 2.341992 91.648628 -26.599699\nAu -77.178585 69.061443 -25.779996\nAu 51.551904 -131.844787 -21.505309\nAu 87.771986 -57.563630 -19.316624\nAu 8.251409 -80.150815 -18.496921\nAu -71.269168 -102.738000 -17.677218\nAu 123.992068 16.717528 -17.127940\nAu 44.471491 -5.869658 -16.308237\nAu -35.049086 -28.456843 -15.488534\nAu -114.569663 -51.044028 -14.668830\nAu 80.691573 68.411500 -14.119553\nAu 1.170996 45.824314 -13.299849\nAu -78.349581 23.237129 -12.480146\nAu 37.391078 120.105472 -11.111165\nAu -42.129499 97.518286 -10.291462\nAu -121.650076 74.931101 -9.471759\nAu 86.600990 -103.387944 -6.016775\nAu 7.080413 -125.975129 -5.197072\nAu 122.821072 -29.106787 -3.828091\nAu 43.300495 -51.693972 -3.008387\nAu -36.220082 -74.281157 -2.188684\nAu 79.520577 22.587185 -0.819703\nAu 0.000000 0.000000 0.000000\nAu -79.520577 -22.587185 0.819703\nAu 36.220082 74.281157 2.188684\nAu -43.300495 51.693972 3.008387\nAu -122.821072 29.106787 3.828091\nAu -7.080413 125.975129 5.197072\nAu -86.600990 103.387944 6.016775\nAu 121.650076 -74.931101 9.471759\nAu 42.129499 -97.518286 10.291462\nAu -37.391078 -120.105472 11.111165\nAu 78.349581 -23.237129 12.480146\nAu -1.170996 -45.824314 13.299849\nAu -80.691573 -68.411500 14.119553\nAu 114.569663 51.044028 14.668830\nAu 35.049086 28.456843 15.488534\nAu -44.471491 5.869658 16.308237\nAu -123.992068 -16.717528 17.127940\nAu 71.269168 102.738000 17.677218\nAu -8.251409 80.150815 18.496921\nAu -87.771986 57.563630 19.316624\nAu -51.551904 131.844787 21.505309\nAu 77.178585 -69.061443 25.779996\nAu -2.341992 -91.648628 26.599699\nAu -81.862569 -114.235814 27.419402\nAu 113.398666 5.219714 27.968680\nAu 33.878090 -17.367471 28.788383\nAu -45.642487 -39.954656 29.608086\nAu -125.163064 -62.541842 30.427790\nAu 70.098171 56.913686 30.977067\nAu -9.422405 34.326501 31.796770\nAu -88.942982 11.739316 32.616474\nAu 26.797676 108.607658 33.985455\nAu -52.722900 86.020473 34.805158\nAu 76.007588 -114.885757 39.079845\nAu -3.512989 -137.472943 39.899548\nAu 112.227670 -40.604600 41.268529\nAu 32.707093 -63.191785 42.088232\nAu -46.813484 -85.778971 42.907936\nAu 68.927175 11.089372 44.276917\nAu -10.593402 -11.497813 45.096620\nAu -90.113979 -34.084999 45.916323\nAu 105.147257 85.370529 46.465601\nAu 25.626680 62.783344 47.285304\nAu -53.893897 40.196159 48.105007\nAu -133.414474 17.608973 48.924711\nAu -17.673815 114.477316 50.293692\nAu -97.194392 91.890131 51.113395\nAu 31.536097 -109.016100 55.388082\nAu 67.756179 -34.734942 57.576766\nAu -11.764398 -57.322128 58.396469\nAu -91.284975 -79.909313 59.216173\nAu 103.976261 39.546215 59.765450\nAu 24.455684 16.959030 60.585154\nAu -55.064893 -5.628156 61.404857\nAu 60.675766 91.240187 62.773838\nAu -18.844811 68.653002 63.593541\nAu -98.365388 46.065816 64.413244\nAu 66.585183 -80.559256 70.876616\nAu -12.935394 -103.146442 71.696319\nAu 102.805265 -6.278099 73.065300\nAu 23.284688 -28.865284 73.885003\nAu -56.235889 -51.452470 74.704706\nAu 59.504770 45.415873 76.073687\nAu -20.015807 22.828687 76.893390\nAu -99.536384 0.241502 77.713094\nAu 16.204275 97.109845 79.082075\nAu -63.316302 74.522659 79.901778\nAu 101.634269 -52.102413 86.365149\nAu 22.113692 -74.689599 87.184852\nAu -57.406885 -97.276784 88.004556\nAu 58.333774 -0.408441 89.373537\nAu -21.186803 -22.995627 90.193240\nAu -100.707380 -45.582812 91.012943\nAu 15.033279 51.285531 92.381924\nAu -64.487298 28.698345 93.201627\nAu -28.267216 102.979503 95.390311\nAu 57.162777 -46.232756 102.673386\nAu -22.357800 -68.819941 103.493089\nAu 93.382859 28.048402 104.862070\nAu 13.862282 5.461216 105.681773\nAu -65.658295 -17.125969 106.501477\nAu 50.082364 79.742374 107.870458\nAu -29.438213 57.155188 108.690161\nAu 12.691286 -40.363098 118.981623\nAu 48.911368 33.918059 121.170307\nAu -30.609209 11.330874 121.990010\nAu 47.740372 -11.906255 134.470157\nAu -31.780205 -34.493440 135.289860\nAu 4.439877 39.787717 137.478544\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "38.97",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "41.34",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "47.73",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "67.50",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-QSTAR-X",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what q (in nm⁻¹, q = 4π sinθ/λ) does the first (lowest-q) Bragg reflection with nonzero intensity appear?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-X-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (X-linker), nanometres\nAu 12.847380 -0.299070 -83.444804\nAu -9.428681 41.727890 -72.787796\nAu -9.116806 13.587162 -72.638921\nAu -8.804932 -14.553566 -72.490047\nAu -8.493058 -42.694294 -72.341172\nAu 29.905357 42.195845 -66.733502\nAu 30.217232 14.055117 -66.584627\nAu 30.529106 -14.085611 -66.435753\nAu 30.840980 -42.226339 -66.286878\nAu -31.080992 27.473393 -61.833038\nAu -30.769118 -0.667335 -61.684163\nAu -30.457244 -28.808063 -61.535289\nAu 7.941171 56.082076 -55.927619\nAu 8.253046 27.941348 -55.778744\nAu 8.564920 -0.199380 -55.629870\nAu 8.876794 -28.340108 -55.480995\nAu 9.188668 -56.480836 -55.332121\nAu -53.045178 41.359624 -51.027155\nAu -52.733304 13.218896 -50.878280\nAu -52.421430 -14.921832 -50.729406\nAu -52.109556 -43.062560 -50.580531\nAu 47.587084 28.409303 -49.724450\nAu 47.898958 0.268575 -49.575576\nAu 48.210832 -27.872153 -49.426701\nAu -14.023015 69.968307 -45.121736\nAu -13.711140 41.827579 -44.972861\nAu -13.399266 13.686851 -44.823986\nAu -13.087392 -14.453876 -44.675112\nAu -12.775518 -42.594604 -44.526237\nAu -12.463644 -70.735332 -44.377363\nAu -74.385616 -1.035600 -39.923523\nAu 25.311023 70.436263 -39.067442\nAu 25.622898 42.295535 -38.918567\nAu 25.934772 14.154807 -38.769693\nAu 26.246646 -13.985921 -38.620818\nAu 26.558520 -42.126649 -38.471944\nAu 26.870394 -70.267377 -38.323069\nAu -35.675326 55.713811 -34.166978\nAu -35.363452 27.573083 -34.018103\nAu -35.051578 -0.567645 -33.869229\nAu -34.739704 -28.708373 -33.720354\nAu -34.427830 -56.849101 -33.571480\nAu 64.956936 42.763490 -32.864273\nAu 65.268810 14.622762 -32.715399\nAu 65.580684 -13.517966 -32.566524\nAu 65.892558 -41.658694 -32.417650\nAu 3.658712 56.181766 -28.112684\nAu 3.970586 28.041038 -27.963809\nAu 4.282460 -0.099690 -27.814935\nAu 4.594334 -28.240418 -27.666060\nAu 4.906208 -56.381146 -27.517186\nAu -57.327638 41.459314 -23.212220\nAu -57.015764 13.318586 -23.063345\nAu -56.703890 -14.822142 -22.914471\nAu -56.392016 -42.962870 -22.765596\nAu 42.992750 56.649721 -22.058390\nAu 43.304624 28.508993 -21.909516\nAu 43.616498 0.368265 -21.760641\nAu 43.928372 -27.772463 -21.611766\nAu 44.240246 -55.913191 -21.462892\nAu -18.305474 70.067997 -17.306801\nAu -17.993600 41.927269 -17.157926\nAu -17.681726 13.786541 -17.009052\nAu -17.369852 -14.354187 -16.860177\nAu -17.057978 -42.494915 -16.711303\nAu -16.746104 -70.635642 -16.562428\nAu 82.950536 0.836220 -15.706347\nAu -78.979950 27.204818 -12.257462\nAu -78.668076 -0.935910 -12.108588\nAu -78.356202 -29.076638 -11.959713\nAu 21.028564 70.535953 -11.252507\nAu 21.340438 42.395225 -11.103632\nAu 21.652312 14.254497 -10.954758\nAu 21.964186 -13.886231 -10.805883\nAu 22.276060 -42.026959 -10.657009\nAu 22.587934 -70.167687 -10.508134\nAu -39.957786 55.813501 -6.352043\nAu -39.645912 27.672773 -6.203168\nAu -39.334038 -0.467955 -6.054294\nAu -39.022164 -28.608683 -5.905419\nAu -38.710290 -56.749411 -5.756545\nAu 60.674476 42.863180 -5.049338\nAu 60.986350 14.722452 -4.900464\nAu 61.298224 -13.418276 -4.751589\nAu 61.610098 -41.559004 -4.602715\nAu -0.935622 84.422184 -0.446624\nAu -0.623748 56.281456 -0.297749\nAu -0.311874 28.140728 -0.148875\nAu 0.000000 0.000000 0.000000\nAu 0.311874 -28.140728 0.148875\nAu 0.623748 -56.281456 0.297749\nAu 0.935622 -84.422184 0.446624\nAu -61.610098 41.559004 4.602715\nAu -61.298224 13.418276 4.751589\nAu -60.986350 -14.722452 4.900464\nAu -60.674476 -42.863180 5.049338\nAu 38.710290 56.749411 5.756545\nAu 39.022164 28.608683 5.905419\nAu 39.334038 0.467955 6.054294\nAu 39.645912 -27.672773 6.203168\nAu 39.957786 -55.813501 6.352043\nAu -22.587934 70.167687 10.508134\nAu -22.276060 42.026959 10.657009\nAu -21.964186 13.886231 10.805883\nAu -21.652312 -14.254497 10.954758\nAu -21.340438 -42.395225 11.103632\nAu -21.028564 -70.535953 11.252507\nAu 78.356202 29.076638 11.959713\nAu 78.668076 0.935910 12.108588\nAu 78.979950 -27.204818 12.257462\nAu -82.950536 -0.836220 15.706347\nAu 16.746104 70.635642 16.562428\nAu 17.057978 42.494915 16.711303\nAu 17.369852 14.354187 16.860177\nAu 17.681726 -13.786541 17.009052\nAu 17.993600 -41.927269 17.157926\nAu 18.305474 -70.067997 17.306801\nAu -44.240246 55.913191 21.462892\nAu -43.928372 27.772463 21.611766\nAu -43.616498 -0.368265 21.760641\nAu -43.304624 -28.508993 21.909516\nAu -42.992750 -56.649721 22.058390\nAu 56.392016 42.962870 22.765596\nAu 56.703890 14.822142 22.914471\nAu 57.015764 -13.318586 23.063345\nAu 57.327638 -41.459314 23.212220\nAu -4.906208 56.381146 27.517186\nAu -4.594334 28.240418 27.666060\nAu -4.282460 0.099690 27.814935\nAu -3.970586 -28.041038 27.963809\nAu -3.658712 -56.181766 28.112684\nAu -65.892558 41.658694 32.417650\nAu -65.580684 13.517966 32.566524\nAu -65.268810 -14.622762 32.715399\nAu -64.956936 -42.763490 32.864273\nAu 34.427830 56.849101 33.571480\nAu 34.739704 28.708373 33.720354\nAu 35.051578 0.567645 33.869229\nAu 35.363452 -27.573083 34.018103\nAu 35.675326 -55.713811 34.166978\nAu -26.870394 70.267377 38.323069\nAu -26.558520 42.126649 38.471944\nAu -26.246646 13.985921 38.620818\nAu -25.934772 -14.154807 38.769693\nAu -25.622898 -42.295535 38.918567\nAu -25.311023 -70.436263 39.067442\nAu 74.385616 1.035600 39.923523\nAu 12.463644 70.735332 44.377363\nAu 12.775518 42.594604 44.526237\nAu 13.087392 14.453876 44.675112\nAu 13.399266 -13.686851 44.823986\nAu 13.711140 -41.827579 44.972861\nAu 14.023015 -69.968307 45.121736\nAu -48.210832 27.872153 49.426701\nAu -47.898958 -0.268575 49.575576\nAu -47.587084 -28.409303 49.724450\nAu 52.109556 43.062560 50.580531\nAu 52.421430 14.921832 50.729406\nAu 52.733304 -13.218896 50.878280\nAu 53.045178 -41.359624 51.027155\nAu -9.188668 56.480836 55.332121\nAu -8.876794 28.340108 55.480995\nAu -8.564920 0.199380 55.629870\nAu -8.253046 -27.941348 55.778744\nAu -7.941171 -56.082076 55.927619\nAu 30.457244 28.808063 61.535289\nAu 30.769118 0.667335 61.684163\nAu 31.080992 -27.473393 61.833038\nAu -30.840980 42.226339 66.286878\nAu -30.529106 14.085611 66.435753\nAu -30.217232 -14.055117 66.584627\nAu -29.905357 -42.195845 66.733502\nAu 8.493058 42.694294 72.341172\nAu 8.804932 14.553566 72.490047\nAu 9.116806 -13.587162 72.638921\nAu 9.428681 -41.727890 72.787796\nAu -12.847380 0.299070 83.444804\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.1579",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.2233",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.2734",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.3157",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-Q200-13",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what q (in nm⁻¹, q = 4π sinθ/λ) does the second distinct Bragg reflection with nonzero intensity appear?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-13-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (13-linker), nanometres\nAu -20.586254 -13.158215 -94.253448\nAu 18.591315 27.073863 -91.662500\nAu 9.017075 -3.285277 -85.333079\nAu -24.179019 42.073197 -84.414845\nAu -0.557165 -33.644416 -79.003657\nAu -33.753259 11.714058 -78.085423\nAu 38.620404 6.587661 -76.412709\nAu 5.424310 51.946136 -75.494476\nAu -10.131405 -64.003556 -72.674235\nAu -43.327499 -18.645082 -71.756002\nAu 29.046164 -23.771478 -70.083287\nAu -4.149930 21.586996 -69.165054\nAu 68.223733 16.460600 -67.492339\nAu 35.027639 61.819074 -66.574106\nAu -52.901738 -49.004221 -65.426580\nAu 19.471925 -54.130618 -63.753866\nAu -13.724169 -8.772143 -62.835632\nAu -46.920264 36.586331 -61.917399\nAu 58.649493 -13.898540 -61.162918\nAu 25.453399 31.459934 -60.244684\nAu -7.742695 76.818409 -59.326451\nAu -23.298409 -39.131283 -56.506210\nAu -56.494503 6.227191 -55.587977\nAu 49.075254 -44.257679 -54.833496\nAu 15.879160 1.100795 -53.915263\nAu -17.316934 46.459269 -52.997029\nAu 55.056729 41.332873 -51.324315\nAu -32.872649 -69.490423 -50.176789\nAu -66.068743 -24.131948 -49.258555\nAu 39.501014 -74.616819 -48.504074\nAu 6.304920 -29.258345 -47.585841\nAu -26.891174 16.100130 -46.667607\nAu 78.678583 -34.384741 -45.913126\nAu -60.087268 61.458604 -45.749374\nAu 45.482489 10.973733 -44.994893\nAu 12.286395 56.332207 -44.076660\nAu -3.269320 -59.617484 -41.256419\nAu -36.465414 -14.259010 -40.338186\nAu -69.661508 31.099464 -39.419952\nAu 35.908249 -19.385406 -38.665471\nAu 2.712155 25.973068 -37.747238\nAu -30.483939 71.331542 -36.829004\nAu 75.085818 20.846671 -36.074523\nAu 41.889724 66.205146 -35.156290\nAu -12.843560 -89.976624 -34.926997\nAu -46.039654 -44.618150 -34.008764\nAu -79.235748 0.740325 -33.090531\nAu 26.334009 -49.744546 -32.336050\nAu -6.862085 -4.386072 -31.417816\nAu -40.058179 40.972403 -30.499583\nAu 65.511578 -9.512468 -29.745102\nAu 32.315484 35.846006 -28.826868\nAu -0.880610 81.204480 -27.908635\nAu -55.613893 -74.977289 -27.679342\nAu -88.809987 -29.618815 -26.761109\nAu 16.759770 -80.103686 -26.006628\nAu -16.436324 -34.745211 -25.088394\nAu -49.632419 10.613263 -24.170161\nAu 55.937338 -39.871608 -23.415680\nAu 22.741244 5.486867 -22.497446\nAu -10.454850 50.845341 -21.579213\nAu 95.114907 0.360470 -20.824732\nAu 61.918813 45.718944 -19.906499\nAu 28.722719 91.077419 -18.988265\nAu -26.010564 -65.104351 -18.758973\nAu -59.206658 -19.745877 -17.840739\nAu 46.363099 -70.230747 -17.086258\nAu -92.402752 25.612598 -16.922506\nAu 13.167005 -24.872273 -16.168025\nAu -20.029089 20.486201 -15.249791\nAu 85.540668 -29.998669 -14.495310\nAu -53.225183 65.844676 -14.331558\nAu 52.344574 15.359805 -13.577077\nAu 19.148479 60.718279 -12.658843\nAu -68.780898 -50.105016 -11.511317\nAu 3.592765 -55.231413 -9.838603\nAu -29.603329 -9.872938 -8.920370\nAu 75.966428 -60.357809 -8.165889\nAu -62.799423 35.485536 -8.002136\nAu 42.770334 -14.999335 -7.247655\nAu 9.574240 30.359140 -6.329422\nAu -23.621854 75.717614 -5.411188\nAu 81.947903 25.232743 -4.656707\nAu 48.751809 70.591217 -3.738474\nAu -5.981475 -85.590552 -3.509181\nAu -39.177569 -40.232078 -2.590948\nAu -72.373663 5.126396 -1.672714\nAu 33.196094 -45.358474 -0.918233\nAu 0.000000 0.000000 0.000000\nAu -33.196094 45.358474 0.918233\nAu 72.373663 -5.126396 1.672714\nAu 39.177569 40.232078 2.590948\nAu 5.981475 85.590552 3.509181\nAu -48.751809 -70.591217 3.738474\nAu -81.947903 -25.232743 4.656707\nAu 23.621854 -75.717614 5.411188\nAu -9.574240 -30.359140 6.329422\nAu -42.770334 14.999335 7.247655\nAu 62.799423 -35.485536 8.002136\nAu -75.966428 60.357809 8.165889\nAu 29.603329 9.872938 8.920370\nAu -3.592765 55.231413 9.838603\nAu 68.780898 50.105016 11.511317\nAu -19.148479 -60.718279 12.658843\nAu -52.344574 -15.359805 13.577077\nAu 53.225183 -65.844676 14.331558\nAu -85.540668 29.998669 14.495310\nAu 20.029089 -20.486201 15.249791\nAu -13.167005 24.872273 16.168025\nAu 92.402752 -25.612598 16.922506\nAu -46.363099 70.230747 17.086258\nAu 59.206658 19.745877 17.840739\nAu 26.010564 65.104351 18.758973\nAu -28.722719 -91.077419 18.988265\nAu -61.918813 -45.718944 19.906499\nAu -95.114907 -0.360470 20.824732\nAu 10.454850 -50.845341 21.579213\nAu -22.741244 -5.486867 22.497446\nAu -55.937338 39.871608 23.415680\nAu 49.632419 -10.613263 24.170161\nAu 16.436324 34.745211 25.088394\nAu -16.759770 80.103686 26.006628\nAu 88.809987 29.618815 26.761109\nAu 55.613893 74.977289 27.679342\nAu 0.880610 -81.204480 27.908635\nAu -32.315484 -35.846006 28.826868\nAu -65.511578 9.512468 29.745102\nAu 40.058179 -40.972403 30.499583\nAu 6.862085 4.386072 31.417816\nAu -26.334009 49.744546 32.336050\nAu 79.235748 -0.740325 33.090531\nAu 46.039654 44.618150 34.008764\nAu 12.843560 89.976624 34.926997\nAu -41.889724 -66.205146 35.156290\nAu -75.085818 -20.846671 36.074523\nAu 30.483939 -71.331542 36.829004\nAu -2.712155 -25.973068 37.747238\nAu -35.908249 19.385406 38.665471\nAu 69.661508 -31.099464 39.419952\nAu 36.465414 14.259010 40.338186\nAu 3.269320 59.617484 41.256419\nAu -12.286395 -56.332207 44.076660\nAu -45.482489 -10.973733 44.994893\nAu 60.087268 -61.458604 45.749374\nAu -78.678583 34.384741 45.913126\nAu 26.891174 -16.100130 46.667607\nAu -6.304920 29.258345 47.585841\nAu -39.501014 74.616819 48.504074\nAu 66.068743 24.131948 49.258555\nAu 32.872649 69.490423 50.176789\nAu -55.056729 -41.332873 51.324315\nAu 17.316934 -46.459269 52.997029\nAu -15.879160 -1.100795 53.915263\nAu -49.075254 44.257679 54.833496\nAu 56.494503 -6.227191 55.587977\nAu 23.298409 39.131283 56.506210\nAu 7.742695 -76.818409 59.326451\nAu -25.453399 -31.459934 60.244684\nAu -58.649493 13.898540 61.162918\nAu 46.920264 -36.586331 61.917399\nAu 13.724169 8.772143 62.835632\nAu -19.471925 54.130618 63.753866\nAu 52.901738 49.004221 65.426580\nAu -35.027639 -61.819074 66.574106\nAu -68.223733 -16.460600 67.492339\nAu 4.149930 -21.586996 69.165054\nAu -29.046164 23.771478 70.083287\nAu 43.327499 18.645082 71.756002\nAu 10.131405 64.003556 72.674235\nAu -5.424310 -51.946136 75.494476\nAu -38.620404 -6.587661 76.412709\nAu 33.753259 -11.714058 78.085423\nAu 0.557165 33.644416 79.003657\nAu 24.179019 -42.073197 84.414845\nAu -9.017075 3.285277 85.333079\nAu -18.591315 -27.073863 91.662500\nAu 20.586254 13.158215 94.253448\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.0436",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.1369",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.2371",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.2738",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-GOLD-52",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Each particle is a solid gold sphere with a core diameter of 10.3 nm and the DNA shell contains no gold. Treating the lattice as perfect and infinite, what percentage of the total volume is gold?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-52-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (52-linker), nanometres\nAu 40.455306 7.080778 -157.217209\nAu -3.771172 -55.301846 -152.746536\nAu -12.765956 -1.889623 -152.655494\nAu -21.760739 51.522601 -152.564452\nAu -65.987217 -10.860023 -148.093778\nAu 83.749600 -68.079951 -121.470756\nAu 74.754817 -14.667728 -121.379714\nAu 65.760034 38.744495 -121.288672\nAu 56.765251 92.156718 -121.197630\nAu 30.528339 -77.050352 -116.909041\nAu 21.533556 -23.638128 -116.817999\nAu 12.538772 29.774095 -116.726957\nAu 3.543989 83.186318 -116.635915\nAu -22.692922 -86.020752 -112.347325\nAu -31.687706 -32.608529 -112.256283\nAu -40.682489 20.803694 -112.165241\nAu -49.677272 74.215918 -112.074199\nAu -75.914184 -94.991152 -107.785610\nAu -84.908967 -41.578929 -107.694568\nAu -93.903750 11.833294 -107.603526\nAu -102.898534 65.245517 -107.512484\nAu 109.054328 -36.416234 -85.542220\nAu 100.059545 16.995989 -85.451178\nAu 91.064762 70.408212 -85.360136\nAu 64.827850 -98.798857 -81.071546\nAu 55.833067 -45.386634 -80.980504\nAu 46.838284 8.025589 -80.889462\nAu 37.843500 61.437812 -80.798420\nAu 28.848717 114.850035 -80.707378\nAu 11.606589 -107.769258 -76.509831\nAu 2.611806 -54.357034 -76.418789\nAu -6.382978 -0.944811 -76.327747\nAu -15.377761 52.467412 -76.236705\nAu -24.372544 105.879635 -76.145663\nAu -41.614673 -116.739658 -71.948115\nAu -50.609456 -63.327435 -71.857073\nAu -59.604239 -9.915212 -71.766031\nAu -68.599023 43.497012 -71.674989\nAu -77.593806 96.909235 -71.583947\nAu -103.830717 -72.297835 -67.295358\nAu -112.825501 -18.885612 -67.204316\nAu -121.820284 34.526611 -67.113274\nAu 143.353840 -58.164740 -49.704725\nAu 134.359056 -4.752517 -49.613683\nAu 125.364273 48.659707 -49.522641\nAu 116.369490 102.071930 -49.431599\nAu 99.127362 -120.547363 -45.234052\nAu 90.132578 -67.135140 -45.143010\nAu 81.137795 -13.722917 -45.051968\nAu 72.143012 39.689306 -44.960926\nAu 63.148228 93.101530 -44.869884\nAu 54.153445 146.513753 -44.778842\nAu 45.906100 -129.517763 -40.672336\nAu 36.911317 -76.105540 -40.581294\nAu 27.916533 -22.693317 -40.490252\nAu 18.921750 30.718906 -40.399210\nAu 9.926967 84.131129 -40.308168\nAu 0.932184 137.543352 -40.217126\nAu -7.315161 -138.488164 -36.110621\nAu -16.309945 -85.075941 -36.019579\nAu -25.304728 -31.663717 -35.928537\nAu -34.299511 21.748506 -35.837495\nAu -43.294295 75.160729 -35.746453\nAu -52.289078 128.572952 -35.655411\nAu -60.536423 -147.458564 -31.548905\nAu -69.531206 -94.046341 -31.457863\nAu -78.525989 -40.634118 -31.366821\nAu -87.520773 12.778106 -31.275779\nAu -96.515556 66.190329 -31.184737\nAu -105.510339 119.602552 -31.093695\nAu -122.752468 -103.016741 -26.896148\nAu -131.747251 -49.604518 -26.805106\nAu -140.742034 3.807705 -26.714064\nAu -149.736817 57.219928 -26.623022\nAu 159.663784 26.911201 -13.685146\nAu 124.432089 -88.883646 -9.305515\nAu 115.437306 -35.471423 -9.214473\nAu 106.442523 17.940801 -9.123431\nAu 97.447740 71.353024 -9.032389\nAu 88.452956 124.765247 -8.941347\nAu 71.210828 -97.854046 -4.743799\nAu 62.216045 -44.441823 -4.652757\nAu 53.221261 8.970400 -4.561715\nAu 44.226478 62.382623 -4.470674\nAu 35.231695 115.794847 -4.379632\nAu 26.984350 -160.236670 -0.273126\nAu 17.989567 -106.824446 -0.182084\nAu 8.994783 -53.412223 -0.091042\nAu 0.000000 0.000000 0.000000\nAu -8.994783 53.412223 0.091042\nAu -17.989567 106.824446 0.182084\nAu -26.984350 160.236670 0.273126\nAu -35.231695 -115.794847 4.379632\nAu -44.226478 -62.382623 4.470674\nAu -53.221261 -8.970400 4.561715\nAu -62.216045 44.441823 4.652757\nAu -71.210828 97.854046 4.743799\nAu -88.452956 -124.765247 8.941347\nAu -97.447740 -71.353024 9.032389\nAu -106.442523 -17.940801 9.123431\nAu -115.437306 35.471423 9.214473\nAu -124.432089 88.883646 9.305515\nAu -159.663784 -26.911201 13.685146\nAu 149.736817 -57.219928 26.623022\nAu 140.742034 -3.807705 26.714064\nAu 131.747251 49.604518 26.805106\nAu 122.752468 103.016741 26.896148\nAu 105.510339 -119.602552 31.093695\nAu 96.515556 -66.190329 31.184737\nAu 87.520773 -12.778106 31.275779\nAu 78.525989 40.634118 31.366821\nAu 69.531206 94.046341 31.457863\nAu 60.536423 147.458564 31.548905\nAu 52.289078 -128.572952 35.655411\nAu 43.294295 -75.160729 35.746453\nAu 34.299511 -21.748506 35.837495\nAu 25.304728 31.663717 35.928537\nAu 16.309945 85.075941 36.019579\nAu 7.315161 138.488164 36.110621\nAu -0.932184 -137.543352 40.217126\nAu -9.926967 -84.131129 40.308168\nAu -18.921750 -30.718906 40.399210\nAu -27.916533 22.693317 40.490252\nAu -36.911317 76.105540 40.581294\nAu -45.906100 129.517763 40.672336\nAu -54.153445 -146.513753 44.778842\nAu -63.148228 -93.101530 44.869884\nAu -72.143012 -39.689306 44.960926\nAu -81.137795 13.722917 45.051968\nAu -90.132578 67.135140 45.143010\nAu -99.127362 120.547363 45.234052\nAu -116.369490 -102.071930 49.431599\nAu -125.364273 -48.659707 49.522641\nAu -134.359056 4.752517 49.613683\nAu -143.353840 58.164740 49.704725\nAu 121.820284 -34.526611 67.113274\nAu 112.825501 18.885612 67.204316\nAu 103.830717 72.297835 67.295358\nAu 77.593806 -96.909235 71.583947\nAu 68.599023 -43.497012 71.674989\nAu 59.604239 9.915212 71.766031\nAu 50.609456 63.327435 71.857073\nAu 41.614673 116.739658 71.948115\nAu 24.372544 -105.879635 76.145663\nAu 15.377761 -52.467412 76.236705\nAu 6.382978 0.944811 76.327747\nAu -2.611806 54.357034 76.418789\nAu -11.606589 107.769258 76.509831\nAu -28.848717 -114.850035 80.707378\nAu -37.843500 -61.437812 80.798420\nAu -46.838284 -8.025589 80.889462\nAu -55.833067 45.386634 80.980504\nAu -64.827850 98.798857 81.071546\nAu -91.064762 -70.408212 85.360136\nAu -100.059545 -16.995989 85.451178\nAu -109.054328 36.416234 85.542220\nAu 102.898534 -65.245517 107.512484\nAu 93.903750 -11.833294 107.603526\nAu 84.908967 41.578929 107.694568\nAu 75.914184 94.991152 107.785610\nAu 49.677272 -74.215918 112.074199\nAu 40.682489 -20.803694 112.165241\nAu 31.687706 32.608529 112.256283\nAu 22.692922 86.020752 112.347325\nAu -3.543989 -83.186318 116.635915\nAu -12.538772 -29.774095 116.726957\nAu -21.533556 23.638128 116.817999\nAu -30.528339 77.050352 116.909041\nAu -56.765251 -92.156718 121.197630\nAu -65.760034 -38.744495 121.288672\nAu -74.754817 14.667728 121.379714\nAu -83.749600 68.079951 121.470756\nAu 65.987217 10.860023 148.093778\nAu 21.760739 -51.522601 152.564452\nAu 12.765956 1.889623 152.655494\nAu 3.771172 55.301846 152.746536\nAu -40.455306 -7.080778 157.217209\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.509",
     "unit": "%"
    },
    {
     "label": "B",
     "value": "1.440",
     "unit": "%"
    },
    {
     "label": "C",
     "value": "2.037",
     "unit": "%"
    },
    {
     "label": "D",
     "value": "4.074",
     "unit": "%"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-DES-QSTAR",
   "family": "superlattice_design",
   "ability": "design",
   "question": "The four XYZ files list the gold-nanoparticle centres (nm) of model crystallites of DNA-linked gold-nanoparticle superlattices assembled with four different duplex DNA linkers; each file is named after its linker and was built from that linker's published SAXS unit-cell size. Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. You must choose one linker for a new superlattice such that its first Bragg reflection (lowest q with nonzero intensity, identical point scatterers, q = 4π sinθ/λ) is closest to q = 0.19 nm⁻¹. Which linker should you choose?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-13-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (13-linker), nanometres\nAu -20.586254 -13.158215 -94.253448\nAu 18.591315 27.073863 -91.662500\nAu 9.017075 -3.285277 -85.333079\nAu -24.179019 42.073197 -84.414845\nAu -0.557165 -33.644416 -79.003657\nAu -33.753259 11.714058 -78.085423\nAu 38.620404 6.587661 -76.412709\nAu 5.424310 51.946136 -75.494476\nAu -10.131405 -64.003556 -72.674235\nAu -43.327499 -18.645082 -71.756002\nAu 29.046164 -23.771478 -70.083287\nAu -4.149930 21.586996 -69.165054\nAu 68.223733 16.460600 -67.492339\nAu 35.027639 61.819074 -66.574106\nAu -52.901738 -49.004221 -65.426580\nAu 19.471925 -54.130618 -63.753866\nAu -13.724169 -8.772143 -62.835632\nAu -46.920264 36.586331 -61.917399\nAu 58.649493 -13.898540 -61.162918\nAu 25.453399 31.459934 -60.244684\nAu -7.742695 76.818409 -59.326451\nAu -23.298409 -39.131283 -56.506210\nAu -56.494503 6.227191 -55.587977\nAu 49.075254 -44.257679 -54.833496\nAu 15.879160 1.100795 -53.915263\nAu -17.316934 46.459269 -52.997029\nAu 55.056729 41.332873 -51.324315\nAu -32.872649 -69.490423 -50.176789\nAu -66.068743 -24.131948 -49.258555\nAu 39.501014 -74.616819 -48.504074\nAu 6.304920 -29.258345 -47.585841\nAu -26.891174 16.100130 -46.667607\nAu 78.678583 -34.384741 -45.913126\nAu -60.087268 61.458604 -45.749374\nAu 45.482489 10.973733 -44.994893\nAu 12.286395 56.332207 -44.076660\nAu -3.269320 -59.617484 -41.256419\nAu -36.465414 -14.259010 -40.338186\nAu -69.661508 31.099464 -39.419952\nAu 35.908249 -19.385406 -38.665471\nAu 2.712155 25.973068 -37.747238\nAu -30.483939 71.331542 -36.829004\nAu 75.085818 20.846671 -36.074523\nAu 41.889724 66.205146 -35.156290\nAu -12.843560 -89.976624 -34.926997\nAu -46.039654 -44.618150 -34.008764\nAu -79.235748 0.740325 -33.090531\nAu 26.334009 -49.744546 -32.336050\nAu -6.862085 -4.386072 -31.417816\nAu -40.058179 40.972403 -30.499583\nAu 65.511578 -9.512468 -29.745102\nAu 32.315484 35.846006 -28.826868\nAu -0.880610 81.204480 -27.908635\nAu -55.613893 -74.977289 -27.679342\nAu -88.809987 -29.618815 -26.761109\nAu 16.759770 -80.103686 -26.006628\nAu -16.436324 -34.745211 -25.088394\nAu -49.632419 10.613263 -24.170161\nAu 55.937338 -39.871608 -23.415680\nAu 22.741244 5.486867 -22.497446\nAu -10.454850 50.845341 -21.579213\nAu 95.114907 0.360470 -20.824732\nAu 61.918813 45.718944 -19.906499\nAu 28.722719 91.077419 -18.988265\nAu -26.010564 -65.104351 -18.758973\nAu -59.206658 -19.745877 -17.840739\nAu 46.363099 -70.230747 -17.086258\nAu -92.402752 25.612598 -16.922506\nAu 13.167005 -24.872273 -16.168025\nAu -20.029089 20.486201 -15.249791\nAu 85.540668 -29.998669 -14.495310\nAu -53.225183 65.844676 -14.331558\nAu 52.344574 15.359805 -13.577077\nAu 19.148479 60.718279 -12.658843\nAu -68.780898 -50.105016 -11.511317\nAu 3.592765 -55.231413 -9.838603\nAu -29.603329 -9.872938 -8.920370\nAu 75.966428 -60.357809 -8.165889\nAu -62.799423 35.485536 -8.002136\nAu 42.770334 -14.999335 -7.247655\nAu 9.574240 30.359140 -6.329422\nAu -23.621854 75.717614 -5.411188\nAu 81.947903 25.232743 -4.656707\nAu 48.751809 70.591217 -3.738474\nAu -5.981475 -85.590552 -3.509181\nAu -39.177569 -40.232078 -2.590948\nAu -72.373663 5.126396 -1.672714\nAu 33.196094 -45.358474 -0.918233\nAu 0.000000 0.000000 0.000000\nAu -33.196094 45.358474 0.918233\nAu 72.373663 -5.126396 1.672714\nAu 39.177569 40.232078 2.590948\nAu 5.981475 85.590552 3.509181\nAu -48.751809 -70.591217 3.738474\nAu -81.947903 -25.232743 4.656707\nAu 23.621854 -75.717614 5.411188\nAu -9.574240 -30.359140 6.329422\nAu -42.770334 14.999335 7.247655\nAu 62.799423 -35.485536 8.002136\nAu -75.966428 60.357809 8.165889\nAu 29.603329 9.872938 8.920370\nAu -3.592765 55.231413 9.838603\nAu 68.780898 50.105016 11.511317\nAu -19.148479 -60.718279 12.658843\nAu -52.344574 -15.359805 13.577077\nAu 53.225183 -65.844676 14.331558\nAu -85.540668 29.998669 14.495310\nAu 20.029089 -20.486201 15.249791\nAu -13.167005 24.872273 16.168025\nAu 92.402752 -25.612598 16.922506\nAu -46.363099 70.230747 17.086258\nAu 59.206658 19.745877 17.840739\nAu 26.010564 65.104351 18.758973\nAu -28.722719 -91.077419 18.988265\nAu -61.918813 -45.718944 19.906499\nAu -95.114907 -0.360470 20.824732\nAu 10.454850 -50.845341 21.579213\nAu -22.741244 -5.486867 22.497446\nAu -55.937338 39.871608 23.415680\nAu 49.632419 -10.613263 24.170161\nAu 16.436324 34.745211 25.088394\nAu -16.759770 80.103686 26.006628\nAu 88.809987 29.618815 26.761109\nAu 55.613893 74.977289 27.679342\nAu 0.880610 -81.204480 27.908635\nAu -32.315484 -35.846006 28.826868\nAu -65.511578 9.512468 29.745102\nAu 40.058179 -40.972403 30.499583\nAu 6.862085 4.386072 31.417816\nAu -26.334009 49.744546 32.336050\nAu 79.235748 -0.740325 33.090531\nAu 46.039654 44.618150 34.008764\nAu 12.843560 89.976624 34.926997\nAu -41.889724 -66.205146 35.156290\nAu -75.085818 -20.846671 36.074523\nAu 30.483939 -71.331542 36.829004\nAu -2.712155 -25.973068 37.747238\nAu -35.908249 19.385406 38.665471\nAu 69.661508 -31.099464 39.419952\nAu 36.465414 14.259010 40.338186\nAu 3.269320 59.617484 41.256419\nAu -12.286395 -56.332207 44.076660\nAu -45.482489 -10.973733 44.994893\nAu 60.087268 -61.458604 45.749374\nAu -78.678583 34.384741 45.913126\nAu 26.891174 -16.100130 46.667607\nAu -6.304920 29.258345 47.585841\nAu -39.501014 74.616819 48.504074\nAu 66.068743 24.131948 49.258555\nAu 32.872649 69.490423 50.176789\nAu -55.056729 -41.332873 51.324315\nAu 17.316934 -46.459269 52.997029\nAu -15.879160 -1.100795 53.915263\nAu -49.075254 44.257679 54.833496\nAu 56.494503 -6.227191 55.587977\nAu 23.298409 39.131283 56.506210\nAu 7.742695 -76.818409 59.326451\nAu -25.453399 -31.459934 60.244684\nAu -58.649493 13.898540 61.162918\nAu 46.920264 -36.586331 61.917399\nAu 13.724169 8.772143 62.835632\nAu -19.471925 54.130618 63.753866\nAu 52.901738 49.004221 65.426580\nAu -35.027639 -61.819074 66.574106\nAu -68.223733 -16.460600 67.492339\nAu 4.149930 -21.586996 69.165054\nAu -29.046164 23.771478 70.083287\nAu 43.327499 18.645082 71.756002\nAu 10.131405 64.003556 72.674235\nAu -5.424310 -51.946136 75.494476\nAu -38.620404 -6.587661 76.412709\nAu 33.753259 -11.714058 78.085423\nAu 0.557165 33.644416 79.003657\nAu 24.179019 -42.073197 84.414845\nAu -9.017075 3.285277 85.333079\nAu -18.591315 -27.073863 91.662500\nAu 20.586254 13.158215 94.253448\n"
    },
    {
     "name": "Au-FCC-26-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (26-linker), nanometres\nAu -31.516436 -8.760683 -116.406463\nAu 24.823795 -49.051954 -107.694870\nAu 7.093954 -12.915774 -105.614197\nAu -10.635887 23.220407 -103.533524\nAu -28.365728 59.356587 -101.452851\nAu 45.704344 -17.070864 -94.821931\nAu 27.974503 19.065317 -92.741258\nAu -24.161665 -73.957726 -92.557921\nAu 10.244662 55.201497 -90.660585\nAu -41.891506 -37.821545 -90.477248\nAu -59.621347 -1.685365 -88.396575\nAu -77.351188 34.450815 -86.315902\nAu 84.314734 -21.225954 -84.029665\nAu 66.584893 14.910226 -81.948992\nAu 14.448725 -78.112816 -81.765655\nAu 48.855052 51.046407 -79.868319\nAu -3.281116 -41.976636 -79.684982\nAu 31.125210 87.182587 -77.787646\nAu -21.010957 -5.840455 -77.604309\nAu -38.740799 30.295725 -75.523636\nAu -56.470640 66.431905 -73.442963\nAu 53.059115 -82.267907 -70.973388\nAu 87.465441 46.891316 -69.076052\nAu 35.329274 -46.131726 -68.892716\nAu 17.599433 -9.995546 -66.812043\nAu -0.130409 26.140635 -64.731370\nAu -52.266576 -66.882408 -64.548033\nAu -17.860250 62.276815 -62.650697\nAu -69.996417 -30.746227 -62.467360\nAu -35.590091 98.412995 -60.570024\nAu -87.726259 5.389953 -60.386687\nAu 73.939664 -50.286816 -58.100449\nAu 56.209823 -14.150636 -56.019776\nAu 4.073655 -107.173678 -55.836440\nAu 38.479981 21.985544 -53.939103\nAu -13.656186 -71.037498 -53.755767\nAu 20.750140 58.121725 -51.858430\nAu -31.386027 -34.901318 -51.675094\nAu 3.020299 94.257905 -49.777758\nAu -49.115869 1.234863 -49.594421\nAu -66.845710 37.371043 -47.513748\nAu -84.575551 73.507223 -45.433075\nAu 94.820213 -18.305726 -45.227510\nAu 77.090371 17.830454 -43.146837\nAu 24.954204 -75.192588 -42.963500\nAu 59.360530 53.966634 -41.066164\nAu 7.224363 -39.056408 -40.882827\nAu 41.630689 90.102815 -38.985491\nAu -10.505479 -2.920228 -38.802154\nAu -62.641646 -95.943270 -38.618818\nAu -28.235320 33.215953 -36.721481\nAu -80.371488 -59.807090 -36.538145\nAu -45.965161 69.352133 -34.640809\nAu -98.101329 -23.670909 -34.457472\nAu -115.831170 12.465271 -32.376799\nAu 115.700761 13.675364 -32.354571\nAu 63.564594 -79.347679 -32.171234\nAu 97.970920 49.811544 -30.273898\nAu 45.834752 -43.211498 -30.090561\nAu 80.241079 85.947724 -28.193225\nAu 28.104911 -7.075318 -28.009888\nAu -24.031256 -100.098360 -27.826551\nAu 10.375070 29.060862 -25.929215\nAu -41.761098 -63.962180 -25.745878\nAu -7.354771 65.197043 -23.848542\nAu -59.490939 -27.826000 -23.665205\nAu -25.084612 101.333223 -21.767869\nAu -77.220780 8.310181 -21.584533\nAu -94.950621 44.446361 -19.503860\nAu 84.445142 -47.366589 -19.298295\nAu 66.715301 -11.230408 -17.217622\nAu 14.579134 -104.253451 -17.034285\nAu 48.985460 24.905772 -15.136949\nAu -3.150708 -68.117270 -14.953612\nAu 31.255619 61.041952 -13.056276\nAu -20.880549 -31.981090 -12.872939\nAu 13.525778 97.178133 -10.975603\nAu -38.610390 4.155090 -10.792266\nAu -56.340231 40.291271 -8.711593\nAu -108.476399 -52.731772 -8.528256\nAu -74.070072 76.427451 -6.630920\nAu 105.325691 -15.385499 -6.425356\nAu 53.189524 -108.408541 -6.242019\nAu 87.595850 20.750682 -4.344683\nAu 35.459682 -72.272361 -4.161346\nAu 69.866009 56.886862 -2.264010\nAu 17.729841 -36.136180 -2.080673\nAu 52.136168 93.023042 -0.183337\nAu 0.000000 0.000000 0.000000\nAu -52.136168 -93.023042 0.183337\nAu -17.729841 36.136180 2.080673\nAu -69.866009 -56.886862 2.264010\nAu -35.459682 72.272361 4.161346\nAu -87.595850 -20.750682 4.344683\nAu -53.189524 108.408541 6.242019\nAu -105.325691 15.385499 6.425356\nAu 74.070072 -76.427451 6.630920\nAu 108.476399 52.731772 8.528256\nAu 56.340231 -40.291271 8.711593\nAu 38.610390 -4.155090 10.792266\nAu -13.525778 -97.178133 10.975603\nAu 20.880549 31.981090 12.872939\nAu -31.255619 -61.041952 13.056276\nAu 3.150708 68.117270 14.953612\nAu -48.985460 -24.905772 15.136949\nAu -14.579134 104.253451 17.034285\nAu -66.715301 11.230408 17.217622\nAu -84.445142 47.366589 19.298295\nAu 94.950621 -44.446361 19.503860\nAu 77.220780 -8.310181 21.584533\nAu 25.084612 -101.333223 21.767869\nAu 59.490939 27.826000 23.665205\nAu 7.354771 -65.197043 23.848542\nAu 41.761098 63.962180 25.745878\nAu -10.375070 -29.060862 25.929215\nAu 24.031256 100.098360 27.826551\nAu -28.104911 7.075318 28.009888\nAu -80.241079 -85.947724 28.193225\nAu -45.834752 43.211498 30.090561\nAu -97.970920 -49.811544 30.273898\nAu -63.564594 79.347679 32.171234\nAu -115.700761 -13.675364 32.354571\nAu 115.831170 -12.465271 32.376799\nAu 98.101329 23.670909 34.457472\nAu 45.965161 -69.352133 34.640809\nAu 80.371488 59.807090 36.538145\nAu 28.235320 -33.215953 36.721481\nAu 62.641646 95.943270 38.618818\nAu 10.505479 2.920228 38.802154\nAu -41.630689 -90.102815 38.985491\nAu -7.224363 39.056408 40.882827\nAu -59.360530 -53.966634 41.066164\nAu -24.954204 75.192588 42.963500\nAu -77.090371 -17.830454 43.146837\nAu -94.820213 18.305726 45.227510\nAu 84.575551 -73.507223 45.433075\nAu 66.845710 -37.371043 47.513748\nAu 49.115869 -1.234863 49.594421\nAu -3.020299 -94.257905 49.777758\nAu 31.386027 34.901318 51.675094\nAu -20.750140 -58.121725 51.858430\nAu 13.656186 71.037498 53.755767\nAu -38.479981 -21.985544 53.939103\nAu -4.073655 107.173678 55.836440\nAu -56.209823 14.150636 56.019776\nAu -73.939664 50.286816 58.100449\nAu 87.726259 -5.389953 60.386687\nAu 35.590091 -98.412995 60.570024\nAu 69.996417 30.746227 62.467360\nAu 17.860250 -62.276815 62.650697\nAu 52.266576 66.882408 64.548033\nAu 0.130409 -26.140635 64.731370\nAu -17.599433 9.995546 66.812043\nAu -35.329274 46.131726 68.892716\nAu -87.465441 -46.891316 69.076052\nAu -53.059115 82.267907 70.973388\nAu 56.470640 -66.431905 73.442963\nAu 38.740799 -30.295725 75.523636\nAu 21.010957 5.840455 77.604309\nAu -31.125210 -87.182587 77.787646\nAu 3.281116 41.976636 79.684982\nAu -48.855052 -51.046407 79.868319\nAu -14.448725 78.112816 81.765655\nAu -66.584893 -14.910226 81.948992\nAu -84.314734 21.225954 84.029665\nAu 77.351188 -34.450815 86.315902\nAu 59.621347 1.685365 88.396575\nAu 41.891506 37.821545 90.477248\nAu -10.244662 -55.201497 90.660585\nAu 24.161665 73.957726 92.557921\nAu -27.974503 -19.065317 92.741258\nAu -45.704344 17.070864 94.821931\nAu 28.365728 -59.356587 101.452851\nAu 10.635887 -23.220407 103.533524\nAu -7.093954 12.915774 105.614197\nAu -24.823795 49.051954 107.694870\nAu 31.516436 8.760683 116.406463\n"
    },
    {
     "name": "Au-FCC-39-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (39-linker), nanometres\nAu -4.439877 -39.787717 -137.478544\nAu 31.780205 34.493440 -135.289860\nAu -47.740372 11.906255 -134.470157\nAu 30.609209 -11.330874 -121.990010\nAu -48.911368 -33.918059 -121.170307\nAu -12.691286 40.363098 -118.981623\nAu 29.438213 -57.155188 -108.690161\nAu -50.082364 -79.742374 -107.870458\nAu 65.658295 17.125969 -106.501477\nAu -13.862282 -5.461216 -105.681773\nAu -93.382859 -28.048402 -104.862070\nAu 22.357800 68.819941 -103.493089\nAu -57.162777 46.232756 -102.673386\nAu 28.267216 -102.979503 -95.390311\nAu 64.487298 -28.698345 -93.201627\nAu -15.033279 -51.285531 -92.381924\nAu 100.707380 45.582812 -91.012943\nAu 21.186803 22.995627 -90.193240\nAu -58.333774 0.408441 -89.373537\nAu 57.406885 97.276784 -88.004556\nAu -22.113692 74.689599 -87.184852\nAu -101.634269 52.102413 -86.365149\nAu 63.316302 -74.522659 -79.901778\nAu -16.204275 -97.109845 -79.082075\nAu 99.536384 -0.241502 -77.713094\nAu 20.015807 -22.828687 -76.893390\nAu -59.504770 -45.415873 -76.073687\nAu 56.235889 51.452470 -74.704706\nAu -23.284688 28.865284 -73.885003\nAu -102.805265 6.278099 -73.065300\nAu 12.935394 103.146442 -71.696319\nAu -66.585183 80.559256 -70.876616\nAu 98.365388 -46.065816 -64.413244\nAu 18.844811 -68.653002 -63.593541\nAu -60.675766 -91.240187 -62.773838\nAu 55.064893 5.628156 -61.404857\nAu -24.455684 -16.959030 -60.585154\nAu -103.976261 -39.546215 -59.765450\nAu 91.284975 79.909313 -59.216173\nAu 11.764398 57.322128 -58.396469\nAu -67.756179 34.734942 -57.576766\nAu -31.536097 109.016100 -55.388082\nAu 97.194392 -91.890131 -51.113395\nAu 17.673815 -114.477316 -50.293692\nAu 133.414474 -17.608973 -48.924711\nAu 53.893897 -40.196159 -48.105007\nAu -25.626680 -62.783344 -47.285304\nAu -105.147257 -85.370529 -46.465601\nAu 90.113979 34.084999 -45.916323\nAu 10.593402 11.497813 -45.096620\nAu -68.927175 -11.089372 -44.276917\nAu 46.813484 85.778971 -42.907936\nAu -32.707093 63.191785 -42.088232\nAu -112.227670 40.604600 -41.268529\nAu 3.512989 137.472943 -39.899548\nAu -76.007588 114.885757 -39.079845\nAu 52.722900 -86.020473 -34.805158\nAu -26.797676 -108.607658 -33.985455\nAu 88.942982 -11.739316 -32.616474\nAu 9.422405 -34.326501 -31.796770\nAu -70.098171 -56.913686 -30.977067\nAu 125.163064 62.541842 -30.427790\nAu 45.642487 39.954656 -29.608086\nAu -33.878090 17.367471 -28.788383\nAu -113.398666 -5.219714 -27.968680\nAu 81.862569 114.235814 -27.419402\nAu 2.341992 91.648628 -26.599699\nAu -77.178585 69.061443 -25.779996\nAu 51.551904 -131.844787 -21.505309\nAu 87.771986 -57.563630 -19.316624\nAu 8.251409 -80.150815 -18.496921\nAu -71.269168 -102.738000 -17.677218\nAu 123.992068 16.717528 -17.127940\nAu 44.471491 -5.869658 -16.308237\nAu -35.049086 -28.456843 -15.488534\nAu -114.569663 -51.044028 -14.668830\nAu 80.691573 68.411500 -14.119553\nAu 1.170996 45.824314 -13.299849\nAu -78.349581 23.237129 -12.480146\nAu 37.391078 120.105472 -11.111165\nAu -42.129499 97.518286 -10.291462\nAu -121.650076 74.931101 -9.471759\nAu 86.600990 -103.387944 -6.016775\nAu 7.080413 -125.975129 -5.197072\nAu 122.821072 -29.106787 -3.828091\nAu 43.300495 -51.693972 -3.008387\nAu -36.220082 -74.281157 -2.188684\nAu 79.520577 22.587185 -0.819703\nAu 0.000000 0.000000 0.000000\nAu -79.520577 -22.587185 0.819703\nAu 36.220082 74.281157 2.188684\nAu -43.300495 51.693972 3.008387\nAu -122.821072 29.106787 3.828091\nAu -7.080413 125.975129 5.197072\nAu -86.600990 103.387944 6.016775\nAu 121.650076 -74.931101 9.471759\nAu 42.129499 -97.518286 10.291462\nAu -37.391078 -120.105472 11.111165\nAu 78.349581 -23.237129 12.480146\nAu -1.170996 -45.824314 13.299849\nAu -80.691573 -68.411500 14.119553\nAu 114.569663 51.044028 14.668830\nAu 35.049086 28.456843 15.488534\nAu -44.471491 5.869658 16.308237\nAu -123.992068 -16.717528 17.127940\nAu 71.269168 102.738000 17.677218\nAu -8.251409 80.150815 18.496921\nAu -87.771986 57.563630 19.316624\nAu -51.551904 131.844787 21.505309\nAu 77.178585 -69.061443 25.779996\nAu -2.341992 -91.648628 26.599699\nAu -81.862569 -114.235814 27.419402\nAu 113.398666 5.219714 27.968680\nAu 33.878090 -17.367471 28.788383\nAu -45.642487 -39.954656 29.608086\nAu -125.163064 -62.541842 30.427790\nAu 70.098171 56.913686 30.977067\nAu -9.422405 34.326501 31.796770\nAu -88.942982 11.739316 32.616474\nAu 26.797676 108.607658 33.985455\nAu -52.722900 86.020473 34.805158\nAu 76.007588 -114.885757 39.079845\nAu -3.512989 -137.472943 39.899548\nAu 112.227670 -40.604600 41.268529\nAu 32.707093 -63.191785 42.088232\nAu -46.813484 -85.778971 42.907936\nAu 68.927175 11.089372 44.276917\nAu -10.593402 -11.497813 45.096620\nAu -90.113979 -34.084999 45.916323\nAu 105.147257 85.370529 46.465601\nAu 25.626680 62.783344 47.285304\nAu -53.893897 40.196159 48.105007\nAu -133.414474 17.608973 48.924711\nAu -17.673815 114.477316 50.293692\nAu -97.194392 91.890131 51.113395\nAu 31.536097 -109.016100 55.388082\nAu 67.756179 -34.734942 57.576766\nAu -11.764398 -57.322128 58.396469\nAu -91.284975 -79.909313 59.216173\nAu 103.976261 39.546215 59.765450\nAu 24.455684 16.959030 60.585154\nAu -55.064893 -5.628156 61.404857\nAu 60.675766 91.240187 62.773838\nAu -18.844811 68.653002 63.593541\nAu -98.365388 46.065816 64.413244\nAu 66.585183 -80.559256 70.876616\nAu -12.935394 -103.146442 71.696319\nAu 102.805265 -6.278099 73.065300\nAu 23.284688 -28.865284 73.885003\nAu -56.235889 -51.452470 74.704706\nAu 59.504770 45.415873 76.073687\nAu -20.015807 22.828687 76.893390\nAu -99.536384 0.241502 77.713094\nAu 16.204275 97.109845 79.082075\nAu -63.316302 74.522659 79.901778\nAu 101.634269 -52.102413 86.365149\nAu 22.113692 -74.689599 87.184852\nAu -57.406885 -97.276784 88.004556\nAu 58.333774 -0.408441 89.373537\nAu -21.186803 -22.995627 90.193240\nAu -100.707380 -45.582812 91.012943\nAu 15.033279 51.285531 92.381924\nAu -64.487298 28.698345 93.201627\nAu -28.267216 102.979503 95.390311\nAu 57.162777 -46.232756 102.673386\nAu -22.357800 -68.819941 103.493089\nAu 93.382859 28.048402 104.862070\nAu 13.862282 5.461216 105.681773\nAu -65.658295 -17.125969 106.501477\nAu 50.082364 79.742374 107.870458\nAu -29.438213 57.155188 108.690161\nAu 12.691286 -40.363098 118.981623\nAu 48.911368 33.918059 121.170307\nAu -30.609209 11.330874 121.990010\nAu 47.740372 -11.906255 134.470157\nAu -31.780205 -34.493440 135.289860\nAu 4.439877 39.787717 137.478544\n"
    },
    {
     "name": "Au-FCC-52-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (52-linker), nanometres\nAu 40.455306 7.080778 -157.217209\nAu -3.771172 -55.301846 -152.746536\nAu -12.765956 -1.889623 -152.655494\nAu -21.760739 51.522601 -152.564452\nAu -65.987217 -10.860023 -148.093778\nAu 83.749600 -68.079951 -121.470756\nAu 74.754817 -14.667728 -121.379714\nAu 65.760034 38.744495 -121.288672\nAu 56.765251 92.156718 -121.197630\nAu 30.528339 -77.050352 -116.909041\nAu 21.533556 -23.638128 -116.817999\nAu 12.538772 29.774095 -116.726957\nAu 3.543989 83.186318 -116.635915\nAu -22.692922 -86.020752 -112.347325\nAu -31.687706 -32.608529 -112.256283\nAu -40.682489 20.803694 -112.165241\nAu -49.677272 74.215918 -112.074199\nAu -75.914184 -94.991152 -107.785610\nAu -84.908967 -41.578929 -107.694568\nAu -93.903750 11.833294 -107.603526\nAu -102.898534 65.245517 -107.512484\nAu 109.054328 -36.416234 -85.542220\nAu 100.059545 16.995989 -85.451178\nAu 91.064762 70.408212 -85.360136\nAu 64.827850 -98.798857 -81.071546\nAu 55.833067 -45.386634 -80.980504\nAu 46.838284 8.025589 -80.889462\nAu 37.843500 61.437812 -80.798420\nAu 28.848717 114.850035 -80.707378\nAu 11.606589 -107.769258 -76.509831\nAu 2.611806 -54.357034 -76.418789\nAu -6.382978 -0.944811 -76.327747\nAu -15.377761 52.467412 -76.236705\nAu -24.372544 105.879635 -76.145663\nAu -41.614673 -116.739658 -71.948115\nAu -50.609456 -63.327435 -71.857073\nAu -59.604239 -9.915212 -71.766031\nAu -68.599023 43.497012 -71.674989\nAu -77.593806 96.909235 -71.583947\nAu -103.830717 -72.297835 -67.295358\nAu -112.825501 -18.885612 -67.204316\nAu -121.820284 34.526611 -67.113274\nAu 143.353840 -58.164740 -49.704725\nAu 134.359056 -4.752517 -49.613683\nAu 125.364273 48.659707 -49.522641\nAu 116.369490 102.071930 -49.431599\nAu 99.127362 -120.547363 -45.234052\nAu 90.132578 -67.135140 -45.143010\nAu 81.137795 -13.722917 -45.051968\nAu 72.143012 39.689306 -44.960926\nAu 63.148228 93.101530 -44.869884\nAu 54.153445 146.513753 -44.778842\nAu 45.906100 -129.517763 -40.672336\nAu 36.911317 -76.105540 -40.581294\nAu 27.916533 -22.693317 -40.490252\nAu 18.921750 30.718906 -40.399210\nAu 9.926967 84.131129 -40.308168\nAu 0.932184 137.543352 -40.217126\nAu -7.315161 -138.488164 -36.110621\nAu -16.309945 -85.075941 -36.019579\nAu -25.304728 -31.663717 -35.928537\nAu -34.299511 21.748506 -35.837495\nAu -43.294295 75.160729 -35.746453\nAu -52.289078 128.572952 -35.655411\nAu -60.536423 -147.458564 -31.548905\nAu -69.531206 -94.046341 -31.457863\nAu -78.525989 -40.634118 -31.366821\nAu -87.520773 12.778106 -31.275779\nAu -96.515556 66.190329 -31.184737\nAu -105.510339 119.602552 -31.093695\nAu -122.752468 -103.016741 -26.896148\nAu -131.747251 -49.604518 -26.805106\nAu -140.742034 3.807705 -26.714064\nAu -149.736817 57.219928 -26.623022\nAu 159.663784 26.911201 -13.685146\nAu 124.432089 -88.883646 -9.305515\nAu 115.437306 -35.471423 -9.214473\nAu 106.442523 17.940801 -9.123431\nAu 97.447740 71.353024 -9.032389\nAu 88.452956 124.765247 -8.941347\nAu 71.210828 -97.854046 -4.743799\nAu 62.216045 -44.441823 -4.652757\nAu 53.221261 8.970400 -4.561715\nAu 44.226478 62.382623 -4.470674\nAu 35.231695 115.794847 -4.379632\nAu 26.984350 -160.236670 -0.273126\nAu 17.989567 -106.824446 -0.182084\nAu 8.994783 -53.412223 -0.091042\nAu 0.000000 0.000000 0.000000\nAu -8.994783 53.412223 0.091042\nAu -17.989567 106.824446 0.182084\nAu -26.984350 160.236670 0.273126\nAu -35.231695 -115.794847 4.379632\nAu -44.226478 -62.382623 4.470674\nAu -53.221261 -8.970400 4.561715\nAu -62.216045 44.441823 4.652757\nAu -71.210828 97.854046 4.743799\nAu -88.452956 -124.765247 8.941347\nAu -97.447740 -71.353024 9.032389\nAu -106.442523 -17.940801 9.123431\nAu -115.437306 35.471423 9.214473\nAu -124.432089 88.883646 9.305515\nAu -159.663784 -26.911201 13.685146\nAu 149.736817 -57.219928 26.623022\nAu 140.742034 -3.807705 26.714064\nAu 131.747251 49.604518 26.805106\nAu 122.752468 103.016741 26.896148\nAu 105.510339 -119.602552 31.093695\nAu 96.515556 -66.190329 31.184737\nAu 87.520773 -12.778106 31.275779\nAu 78.525989 40.634118 31.366821\nAu 69.531206 94.046341 31.457863\nAu 60.536423 147.458564 31.548905\nAu 52.289078 -128.572952 35.655411\nAu 43.294295 -75.160729 35.746453\nAu 34.299511 -21.748506 35.837495\nAu 25.304728 31.663717 35.928537\nAu 16.309945 85.075941 36.019579\nAu 7.315161 138.488164 36.110621\nAu -0.932184 -137.543352 40.217126\nAu -9.926967 -84.131129 40.308168\nAu -18.921750 -30.718906 40.399210\nAu -27.916533 22.693317 40.490252\nAu -36.911317 76.105540 40.581294\nAu -45.906100 129.517763 40.672336\nAu -54.153445 -146.513753 44.778842\nAu -63.148228 -93.101530 44.869884\nAu -72.143012 -39.689306 44.960926\nAu -81.137795 13.722917 45.051968\nAu -90.132578 67.135140 45.143010\nAu -99.127362 120.547363 45.234052\nAu -116.369490 -102.071930 49.431599\nAu -125.364273 -48.659707 49.522641\nAu -134.359056 4.752517 49.613683\nAu -143.353840 58.164740 49.704725\nAu 121.820284 -34.526611 67.113274\nAu 112.825501 18.885612 67.204316\nAu 103.830717 72.297835 67.295358\nAu 77.593806 -96.909235 71.583947\nAu 68.599023 -43.497012 71.674989\nAu 59.604239 9.915212 71.766031\nAu 50.609456 63.327435 71.857073\nAu 41.614673 116.739658 71.948115\nAu 24.372544 -105.879635 76.145663\nAu 15.377761 -52.467412 76.236705\nAu 6.382978 0.944811 76.327747\nAu -2.611806 54.357034 76.418789\nAu -11.606589 107.769258 76.509831\nAu -28.848717 -114.850035 80.707378\nAu -37.843500 -61.437812 80.798420\nAu -46.838284 -8.025589 80.889462\nAu -55.833067 45.386634 80.980504\nAu -64.827850 98.798857 81.071546\nAu -91.064762 -70.408212 85.360136\nAu -100.059545 -16.995989 85.451178\nAu -109.054328 36.416234 85.542220\nAu 102.898534 -65.245517 107.512484\nAu 93.903750 -11.833294 107.603526\nAu 84.908967 41.578929 107.694568\nAu 75.914184 94.991152 107.785610\nAu 49.677272 -74.215918 112.074199\nAu 40.682489 -20.803694 112.165241\nAu 31.687706 32.608529 112.256283\nAu 22.692922 86.020752 112.347325\nAu -3.543989 -83.186318 116.635915\nAu -12.538772 -29.774095 116.726957\nAu -21.533556 23.638128 116.817999\nAu -30.528339 77.050352 116.909041\nAu -56.765251 -92.156718 121.197630\nAu -65.760034 -38.744495 121.288672\nAu -74.754817 14.667728 121.379714\nAu -83.749600 68.079951 121.470756\nAu 65.987217 10.860023 148.093778\nAu 21.760739 -51.522601 152.564452\nAu 12.765956 1.889623 152.655494\nAu 3.771172 55.301846 152.746536\nAu -40.455306 -7.080778 157.217209\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "13-linker (Au-FCC-13-linker.xyz)"
    },
    {
     "label": "B",
     "value": "26-linker (Au-FCC-26-linker.xyz)"
    },
    {
     "label": "C",
     "value": "39-linker (Au-FCC-39-linker.xyz)"
    },
    {
     "label": "D",
     "value": "52-linker (Au-FCC-52-linker.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-DES-NN",
   "family": "superlattice_design",
   "ability": "design",
   "question": "The four XYZ files list the gold-nanoparticle centres (nm) of model crystallites of DNA-linked gold-nanoparticle superlattices assembled with four different duplex DNA linkers; each file is named after its linker and was built from that linker's published SAXS unit-cell size. Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. You must choose one linker for a new superlattice such that the centre-to-centre nearest-neighbour spacing of the particles is closest to 45 nm. Which linker should you choose?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-13-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (13-linker), nanometres\nAu -20.586254 -13.158215 -94.253448\nAu 18.591315 27.073863 -91.662500\nAu 9.017075 -3.285277 -85.333079\nAu -24.179019 42.073197 -84.414845\nAu -0.557165 -33.644416 -79.003657\nAu -33.753259 11.714058 -78.085423\nAu 38.620404 6.587661 -76.412709\nAu 5.424310 51.946136 -75.494476\nAu -10.131405 -64.003556 -72.674235\nAu -43.327499 -18.645082 -71.756002\nAu 29.046164 -23.771478 -70.083287\nAu -4.149930 21.586996 -69.165054\nAu 68.223733 16.460600 -67.492339\nAu 35.027639 61.819074 -66.574106\nAu -52.901738 -49.004221 -65.426580\nAu 19.471925 -54.130618 -63.753866\nAu -13.724169 -8.772143 -62.835632\nAu -46.920264 36.586331 -61.917399\nAu 58.649493 -13.898540 -61.162918\nAu 25.453399 31.459934 -60.244684\nAu -7.742695 76.818409 -59.326451\nAu -23.298409 -39.131283 -56.506210\nAu -56.494503 6.227191 -55.587977\nAu 49.075254 -44.257679 -54.833496\nAu 15.879160 1.100795 -53.915263\nAu -17.316934 46.459269 -52.997029\nAu 55.056729 41.332873 -51.324315\nAu -32.872649 -69.490423 -50.176789\nAu -66.068743 -24.131948 -49.258555\nAu 39.501014 -74.616819 -48.504074\nAu 6.304920 -29.258345 -47.585841\nAu -26.891174 16.100130 -46.667607\nAu 78.678583 -34.384741 -45.913126\nAu -60.087268 61.458604 -45.749374\nAu 45.482489 10.973733 -44.994893\nAu 12.286395 56.332207 -44.076660\nAu -3.269320 -59.617484 -41.256419\nAu -36.465414 -14.259010 -40.338186\nAu -69.661508 31.099464 -39.419952\nAu 35.908249 -19.385406 -38.665471\nAu 2.712155 25.973068 -37.747238\nAu -30.483939 71.331542 -36.829004\nAu 75.085818 20.846671 -36.074523\nAu 41.889724 66.205146 -35.156290\nAu -12.843560 -89.976624 -34.926997\nAu -46.039654 -44.618150 -34.008764\nAu -79.235748 0.740325 -33.090531\nAu 26.334009 -49.744546 -32.336050\nAu -6.862085 -4.386072 -31.417816\nAu -40.058179 40.972403 -30.499583\nAu 65.511578 -9.512468 -29.745102\nAu 32.315484 35.846006 -28.826868\nAu -0.880610 81.204480 -27.908635\nAu -55.613893 -74.977289 -27.679342\nAu -88.809987 -29.618815 -26.761109\nAu 16.759770 -80.103686 -26.006628\nAu -16.436324 -34.745211 -25.088394\nAu -49.632419 10.613263 -24.170161\nAu 55.937338 -39.871608 -23.415680\nAu 22.741244 5.486867 -22.497446\nAu -10.454850 50.845341 -21.579213\nAu 95.114907 0.360470 -20.824732\nAu 61.918813 45.718944 -19.906499\nAu 28.722719 91.077419 -18.988265\nAu -26.010564 -65.104351 -18.758973\nAu -59.206658 -19.745877 -17.840739\nAu 46.363099 -70.230747 -17.086258\nAu -92.402752 25.612598 -16.922506\nAu 13.167005 -24.872273 -16.168025\nAu -20.029089 20.486201 -15.249791\nAu 85.540668 -29.998669 -14.495310\nAu -53.225183 65.844676 -14.331558\nAu 52.344574 15.359805 -13.577077\nAu 19.148479 60.718279 -12.658843\nAu -68.780898 -50.105016 -11.511317\nAu 3.592765 -55.231413 -9.838603\nAu -29.603329 -9.872938 -8.920370\nAu 75.966428 -60.357809 -8.165889\nAu -62.799423 35.485536 -8.002136\nAu 42.770334 -14.999335 -7.247655\nAu 9.574240 30.359140 -6.329422\nAu -23.621854 75.717614 -5.411188\nAu 81.947903 25.232743 -4.656707\nAu 48.751809 70.591217 -3.738474\nAu -5.981475 -85.590552 -3.509181\nAu -39.177569 -40.232078 -2.590948\nAu -72.373663 5.126396 -1.672714\nAu 33.196094 -45.358474 -0.918233\nAu 0.000000 0.000000 0.000000\nAu -33.196094 45.358474 0.918233\nAu 72.373663 -5.126396 1.672714\nAu 39.177569 40.232078 2.590948\nAu 5.981475 85.590552 3.509181\nAu -48.751809 -70.591217 3.738474\nAu -81.947903 -25.232743 4.656707\nAu 23.621854 -75.717614 5.411188\nAu -9.574240 -30.359140 6.329422\nAu -42.770334 14.999335 7.247655\nAu 62.799423 -35.485536 8.002136\nAu -75.966428 60.357809 8.165889\nAu 29.603329 9.872938 8.920370\nAu -3.592765 55.231413 9.838603\nAu 68.780898 50.105016 11.511317\nAu -19.148479 -60.718279 12.658843\nAu -52.344574 -15.359805 13.577077\nAu 53.225183 -65.844676 14.331558\nAu -85.540668 29.998669 14.495310\nAu 20.029089 -20.486201 15.249791\nAu -13.167005 24.872273 16.168025\nAu 92.402752 -25.612598 16.922506\nAu -46.363099 70.230747 17.086258\nAu 59.206658 19.745877 17.840739\nAu 26.010564 65.104351 18.758973\nAu -28.722719 -91.077419 18.988265\nAu -61.918813 -45.718944 19.906499\nAu -95.114907 -0.360470 20.824732\nAu 10.454850 -50.845341 21.579213\nAu -22.741244 -5.486867 22.497446\nAu -55.937338 39.871608 23.415680\nAu 49.632419 -10.613263 24.170161\nAu 16.436324 34.745211 25.088394\nAu -16.759770 80.103686 26.006628\nAu 88.809987 29.618815 26.761109\nAu 55.613893 74.977289 27.679342\nAu 0.880610 -81.204480 27.908635\nAu -32.315484 -35.846006 28.826868\nAu -65.511578 9.512468 29.745102\nAu 40.058179 -40.972403 30.499583\nAu 6.862085 4.386072 31.417816\nAu -26.334009 49.744546 32.336050\nAu 79.235748 -0.740325 33.090531\nAu 46.039654 44.618150 34.008764\nAu 12.843560 89.976624 34.926997\nAu -41.889724 -66.205146 35.156290\nAu -75.085818 -20.846671 36.074523\nAu 30.483939 -71.331542 36.829004\nAu -2.712155 -25.973068 37.747238\nAu -35.908249 19.385406 38.665471\nAu 69.661508 -31.099464 39.419952\nAu 36.465414 14.259010 40.338186\nAu 3.269320 59.617484 41.256419\nAu -12.286395 -56.332207 44.076660\nAu -45.482489 -10.973733 44.994893\nAu 60.087268 -61.458604 45.749374\nAu -78.678583 34.384741 45.913126\nAu 26.891174 -16.100130 46.667607\nAu -6.304920 29.258345 47.585841\nAu -39.501014 74.616819 48.504074\nAu 66.068743 24.131948 49.258555\nAu 32.872649 69.490423 50.176789\nAu -55.056729 -41.332873 51.324315\nAu 17.316934 -46.459269 52.997029\nAu -15.879160 -1.100795 53.915263\nAu -49.075254 44.257679 54.833496\nAu 56.494503 -6.227191 55.587977\nAu 23.298409 39.131283 56.506210\nAu 7.742695 -76.818409 59.326451\nAu -25.453399 -31.459934 60.244684\nAu -58.649493 13.898540 61.162918\nAu 46.920264 -36.586331 61.917399\nAu 13.724169 8.772143 62.835632\nAu -19.471925 54.130618 63.753866\nAu 52.901738 49.004221 65.426580\nAu -35.027639 -61.819074 66.574106\nAu -68.223733 -16.460600 67.492339\nAu 4.149930 -21.586996 69.165054\nAu -29.046164 23.771478 70.083287\nAu 43.327499 18.645082 71.756002\nAu 10.131405 64.003556 72.674235\nAu -5.424310 -51.946136 75.494476\nAu -38.620404 -6.587661 76.412709\nAu 33.753259 -11.714058 78.085423\nAu 0.557165 33.644416 79.003657\nAu 24.179019 -42.073197 84.414845\nAu -9.017075 3.285277 85.333079\nAu -18.591315 -27.073863 91.662500\nAu 20.586254 13.158215 94.253448\n"
    },
    {
     "name": "Au-FCC-26-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (26-linker), nanometres\nAu -31.516436 -8.760683 -116.406463\nAu 24.823795 -49.051954 -107.694870\nAu 7.093954 -12.915774 -105.614197\nAu -10.635887 23.220407 -103.533524\nAu -28.365728 59.356587 -101.452851\nAu 45.704344 -17.070864 -94.821931\nAu 27.974503 19.065317 -92.741258\nAu -24.161665 -73.957726 -92.557921\nAu 10.244662 55.201497 -90.660585\nAu -41.891506 -37.821545 -90.477248\nAu -59.621347 -1.685365 -88.396575\nAu -77.351188 34.450815 -86.315902\nAu 84.314734 -21.225954 -84.029665\nAu 66.584893 14.910226 -81.948992\nAu 14.448725 -78.112816 -81.765655\nAu 48.855052 51.046407 -79.868319\nAu -3.281116 -41.976636 -79.684982\nAu 31.125210 87.182587 -77.787646\nAu -21.010957 -5.840455 -77.604309\nAu -38.740799 30.295725 -75.523636\nAu -56.470640 66.431905 -73.442963\nAu 53.059115 -82.267907 -70.973388\nAu 87.465441 46.891316 -69.076052\nAu 35.329274 -46.131726 -68.892716\nAu 17.599433 -9.995546 -66.812043\nAu -0.130409 26.140635 -64.731370\nAu -52.266576 -66.882408 -64.548033\nAu -17.860250 62.276815 -62.650697\nAu -69.996417 -30.746227 -62.467360\nAu -35.590091 98.412995 -60.570024\nAu -87.726259 5.389953 -60.386687\nAu 73.939664 -50.286816 -58.100449\nAu 56.209823 -14.150636 -56.019776\nAu 4.073655 -107.173678 -55.836440\nAu 38.479981 21.985544 -53.939103\nAu -13.656186 -71.037498 -53.755767\nAu 20.750140 58.121725 -51.858430\nAu -31.386027 -34.901318 -51.675094\nAu 3.020299 94.257905 -49.777758\nAu -49.115869 1.234863 -49.594421\nAu -66.845710 37.371043 -47.513748\nAu -84.575551 73.507223 -45.433075\nAu 94.820213 -18.305726 -45.227510\nAu 77.090371 17.830454 -43.146837\nAu 24.954204 -75.192588 -42.963500\nAu 59.360530 53.966634 -41.066164\nAu 7.224363 -39.056408 -40.882827\nAu 41.630689 90.102815 -38.985491\nAu -10.505479 -2.920228 -38.802154\nAu -62.641646 -95.943270 -38.618818\nAu -28.235320 33.215953 -36.721481\nAu -80.371488 -59.807090 -36.538145\nAu -45.965161 69.352133 -34.640809\nAu -98.101329 -23.670909 -34.457472\nAu -115.831170 12.465271 -32.376799\nAu 115.700761 13.675364 -32.354571\nAu 63.564594 -79.347679 -32.171234\nAu 97.970920 49.811544 -30.273898\nAu 45.834752 -43.211498 -30.090561\nAu 80.241079 85.947724 -28.193225\nAu 28.104911 -7.075318 -28.009888\nAu -24.031256 -100.098360 -27.826551\nAu 10.375070 29.060862 -25.929215\nAu -41.761098 -63.962180 -25.745878\nAu -7.354771 65.197043 -23.848542\nAu -59.490939 -27.826000 -23.665205\nAu -25.084612 101.333223 -21.767869\nAu -77.220780 8.310181 -21.584533\nAu -94.950621 44.446361 -19.503860\nAu 84.445142 -47.366589 -19.298295\nAu 66.715301 -11.230408 -17.217622\nAu 14.579134 -104.253451 -17.034285\nAu 48.985460 24.905772 -15.136949\nAu -3.150708 -68.117270 -14.953612\nAu 31.255619 61.041952 -13.056276\nAu -20.880549 -31.981090 -12.872939\nAu 13.525778 97.178133 -10.975603\nAu -38.610390 4.155090 -10.792266\nAu -56.340231 40.291271 -8.711593\nAu -108.476399 -52.731772 -8.528256\nAu -74.070072 76.427451 -6.630920\nAu 105.325691 -15.385499 -6.425356\nAu 53.189524 -108.408541 -6.242019\nAu 87.595850 20.750682 -4.344683\nAu 35.459682 -72.272361 -4.161346\nAu 69.866009 56.886862 -2.264010\nAu 17.729841 -36.136180 -2.080673\nAu 52.136168 93.023042 -0.183337\nAu 0.000000 0.000000 0.000000\nAu -52.136168 -93.023042 0.183337\nAu -17.729841 36.136180 2.080673\nAu -69.866009 -56.886862 2.264010\nAu -35.459682 72.272361 4.161346\nAu -87.595850 -20.750682 4.344683\nAu -53.189524 108.408541 6.242019\nAu -105.325691 15.385499 6.425356\nAu 74.070072 -76.427451 6.630920\nAu 108.476399 52.731772 8.528256\nAu 56.340231 -40.291271 8.711593\nAu 38.610390 -4.155090 10.792266\nAu -13.525778 -97.178133 10.975603\nAu 20.880549 31.981090 12.872939\nAu -31.255619 -61.041952 13.056276\nAu 3.150708 68.117270 14.953612\nAu -48.985460 -24.905772 15.136949\nAu -14.579134 104.253451 17.034285\nAu -66.715301 11.230408 17.217622\nAu -84.445142 47.366589 19.298295\nAu 94.950621 -44.446361 19.503860\nAu 77.220780 -8.310181 21.584533\nAu 25.084612 -101.333223 21.767869\nAu 59.490939 27.826000 23.665205\nAu 7.354771 -65.197043 23.848542\nAu 41.761098 63.962180 25.745878\nAu -10.375070 -29.060862 25.929215\nAu 24.031256 100.098360 27.826551\nAu -28.104911 7.075318 28.009888\nAu -80.241079 -85.947724 28.193225\nAu -45.834752 43.211498 30.090561\nAu -97.970920 -49.811544 30.273898\nAu -63.564594 79.347679 32.171234\nAu -115.700761 -13.675364 32.354571\nAu 115.831170 -12.465271 32.376799\nAu 98.101329 23.670909 34.457472\nAu 45.965161 -69.352133 34.640809\nAu 80.371488 59.807090 36.538145\nAu 28.235320 -33.215953 36.721481\nAu 62.641646 95.943270 38.618818\nAu 10.505479 2.920228 38.802154\nAu -41.630689 -90.102815 38.985491\nAu -7.224363 39.056408 40.882827\nAu -59.360530 -53.966634 41.066164\nAu -24.954204 75.192588 42.963500\nAu -77.090371 -17.830454 43.146837\nAu -94.820213 18.305726 45.227510\nAu 84.575551 -73.507223 45.433075\nAu 66.845710 -37.371043 47.513748\nAu 49.115869 -1.234863 49.594421\nAu -3.020299 -94.257905 49.777758\nAu 31.386027 34.901318 51.675094\nAu -20.750140 -58.121725 51.858430\nAu 13.656186 71.037498 53.755767\nAu -38.479981 -21.985544 53.939103\nAu -4.073655 107.173678 55.836440\nAu -56.209823 14.150636 56.019776\nAu -73.939664 50.286816 58.100449\nAu 87.726259 -5.389953 60.386687\nAu 35.590091 -98.412995 60.570024\nAu 69.996417 30.746227 62.467360\nAu 17.860250 -62.276815 62.650697\nAu 52.266576 66.882408 64.548033\nAu 0.130409 -26.140635 64.731370\nAu -17.599433 9.995546 66.812043\nAu -35.329274 46.131726 68.892716\nAu -87.465441 -46.891316 69.076052\nAu -53.059115 82.267907 70.973388\nAu 56.470640 -66.431905 73.442963\nAu 38.740799 -30.295725 75.523636\nAu 21.010957 5.840455 77.604309\nAu -31.125210 -87.182587 77.787646\nAu 3.281116 41.976636 79.684982\nAu -48.855052 -51.046407 79.868319\nAu -14.448725 78.112816 81.765655\nAu -66.584893 -14.910226 81.948992\nAu -84.314734 21.225954 84.029665\nAu 77.351188 -34.450815 86.315902\nAu 59.621347 1.685365 88.396575\nAu 41.891506 37.821545 90.477248\nAu -10.244662 -55.201497 90.660585\nAu 24.161665 73.957726 92.557921\nAu -27.974503 -19.065317 92.741258\nAu -45.704344 17.070864 94.821931\nAu 28.365728 -59.356587 101.452851\nAu 10.635887 -23.220407 103.533524\nAu -7.093954 12.915774 105.614197\nAu -24.823795 49.051954 107.694870\nAu 31.516436 8.760683 116.406463\n"
    },
    {
     "name": "Au-FCC-39-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (39-linker), nanometres\nAu -4.439877 -39.787717 -137.478544\nAu 31.780205 34.493440 -135.289860\nAu -47.740372 11.906255 -134.470157\nAu 30.609209 -11.330874 -121.990010\nAu -48.911368 -33.918059 -121.170307\nAu -12.691286 40.363098 -118.981623\nAu 29.438213 -57.155188 -108.690161\nAu -50.082364 -79.742374 -107.870458\nAu 65.658295 17.125969 -106.501477\nAu -13.862282 -5.461216 -105.681773\nAu -93.382859 -28.048402 -104.862070\nAu 22.357800 68.819941 -103.493089\nAu -57.162777 46.232756 -102.673386\nAu 28.267216 -102.979503 -95.390311\nAu 64.487298 -28.698345 -93.201627\nAu -15.033279 -51.285531 -92.381924\nAu 100.707380 45.582812 -91.012943\nAu 21.186803 22.995627 -90.193240\nAu -58.333774 0.408441 -89.373537\nAu 57.406885 97.276784 -88.004556\nAu -22.113692 74.689599 -87.184852\nAu -101.634269 52.102413 -86.365149\nAu 63.316302 -74.522659 -79.901778\nAu -16.204275 -97.109845 -79.082075\nAu 99.536384 -0.241502 -77.713094\nAu 20.015807 -22.828687 -76.893390\nAu -59.504770 -45.415873 -76.073687\nAu 56.235889 51.452470 -74.704706\nAu -23.284688 28.865284 -73.885003\nAu -102.805265 6.278099 -73.065300\nAu 12.935394 103.146442 -71.696319\nAu -66.585183 80.559256 -70.876616\nAu 98.365388 -46.065816 -64.413244\nAu 18.844811 -68.653002 -63.593541\nAu -60.675766 -91.240187 -62.773838\nAu 55.064893 5.628156 -61.404857\nAu -24.455684 -16.959030 -60.585154\nAu -103.976261 -39.546215 -59.765450\nAu 91.284975 79.909313 -59.216173\nAu 11.764398 57.322128 -58.396469\nAu -67.756179 34.734942 -57.576766\nAu -31.536097 109.016100 -55.388082\nAu 97.194392 -91.890131 -51.113395\nAu 17.673815 -114.477316 -50.293692\nAu 133.414474 -17.608973 -48.924711\nAu 53.893897 -40.196159 -48.105007\nAu -25.626680 -62.783344 -47.285304\nAu -105.147257 -85.370529 -46.465601\nAu 90.113979 34.084999 -45.916323\nAu 10.593402 11.497813 -45.096620\nAu -68.927175 -11.089372 -44.276917\nAu 46.813484 85.778971 -42.907936\nAu -32.707093 63.191785 -42.088232\nAu -112.227670 40.604600 -41.268529\nAu 3.512989 137.472943 -39.899548\nAu -76.007588 114.885757 -39.079845\nAu 52.722900 -86.020473 -34.805158\nAu -26.797676 -108.607658 -33.985455\nAu 88.942982 -11.739316 -32.616474\nAu 9.422405 -34.326501 -31.796770\nAu -70.098171 -56.913686 -30.977067\nAu 125.163064 62.541842 -30.427790\nAu 45.642487 39.954656 -29.608086\nAu -33.878090 17.367471 -28.788383\nAu -113.398666 -5.219714 -27.968680\nAu 81.862569 114.235814 -27.419402\nAu 2.341992 91.648628 -26.599699\nAu -77.178585 69.061443 -25.779996\nAu 51.551904 -131.844787 -21.505309\nAu 87.771986 -57.563630 -19.316624\nAu 8.251409 -80.150815 -18.496921\nAu -71.269168 -102.738000 -17.677218\nAu 123.992068 16.717528 -17.127940\nAu 44.471491 -5.869658 -16.308237\nAu -35.049086 -28.456843 -15.488534\nAu -114.569663 -51.044028 -14.668830\nAu 80.691573 68.411500 -14.119553\nAu 1.170996 45.824314 -13.299849\nAu -78.349581 23.237129 -12.480146\nAu 37.391078 120.105472 -11.111165\nAu -42.129499 97.518286 -10.291462\nAu -121.650076 74.931101 -9.471759\nAu 86.600990 -103.387944 -6.016775\nAu 7.080413 -125.975129 -5.197072\nAu 122.821072 -29.106787 -3.828091\nAu 43.300495 -51.693972 -3.008387\nAu -36.220082 -74.281157 -2.188684\nAu 79.520577 22.587185 -0.819703\nAu 0.000000 0.000000 0.000000\nAu -79.520577 -22.587185 0.819703\nAu 36.220082 74.281157 2.188684\nAu -43.300495 51.693972 3.008387\nAu -122.821072 29.106787 3.828091\nAu -7.080413 125.975129 5.197072\nAu -86.600990 103.387944 6.016775\nAu 121.650076 -74.931101 9.471759\nAu 42.129499 -97.518286 10.291462\nAu -37.391078 -120.105472 11.111165\nAu 78.349581 -23.237129 12.480146\nAu -1.170996 -45.824314 13.299849\nAu -80.691573 -68.411500 14.119553\nAu 114.569663 51.044028 14.668830\nAu 35.049086 28.456843 15.488534\nAu -44.471491 5.869658 16.308237\nAu -123.992068 -16.717528 17.127940\nAu 71.269168 102.738000 17.677218\nAu -8.251409 80.150815 18.496921\nAu -87.771986 57.563630 19.316624\nAu -51.551904 131.844787 21.505309\nAu 77.178585 -69.061443 25.779996\nAu -2.341992 -91.648628 26.599699\nAu -81.862569 -114.235814 27.419402\nAu 113.398666 5.219714 27.968680\nAu 33.878090 -17.367471 28.788383\nAu -45.642487 -39.954656 29.608086\nAu -125.163064 -62.541842 30.427790\nAu 70.098171 56.913686 30.977067\nAu -9.422405 34.326501 31.796770\nAu -88.942982 11.739316 32.616474\nAu 26.797676 108.607658 33.985455\nAu -52.722900 86.020473 34.805158\nAu 76.007588 -114.885757 39.079845\nAu -3.512989 -137.472943 39.899548\nAu 112.227670 -40.604600 41.268529\nAu 32.707093 -63.191785 42.088232\nAu -46.813484 -85.778971 42.907936\nAu 68.927175 11.089372 44.276917\nAu -10.593402 -11.497813 45.096620\nAu -90.113979 -34.084999 45.916323\nAu 105.147257 85.370529 46.465601\nAu 25.626680 62.783344 47.285304\nAu -53.893897 40.196159 48.105007\nAu -133.414474 17.608973 48.924711\nAu -17.673815 114.477316 50.293692\nAu -97.194392 91.890131 51.113395\nAu 31.536097 -109.016100 55.388082\nAu 67.756179 -34.734942 57.576766\nAu -11.764398 -57.322128 58.396469\nAu -91.284975 -79.909313 59.216173\nAu 103.976261 39.546215 59.765450\nAu 24.455684 16.959030 60.585154\nAu -55.064893 -5.628156 61.404857\nAu 60.675766 91.240187 62.773838\nAu -18.844811 68.653002 63.593541\nAu -98.365388 46.065816 64.413244\nAu 66.585183 -80.559256 70.876616\nAu -12.935394 -103.146442 71.696319\nAu 102.805265 -6.278099 73.065300\nAu 23.284688 -28.865284 73.885003\nAu -56.235889 -51.452470 74.704706\nAu 59.504770 45.415873 76.073687\nAu -20.015807 22.828687 76.893390\nAu -99.536384 0.241502 77.713094\nAu 16.204275 97.109845 79.082075\nAu -63.316302 74.522659 79.901778\nAu 101.634269 -52.102413 86.365149\nAu 22.113692 -74.689599 87.184852\nAu -57.406885 -97.276784 88.004556\nAu 58.333774 -0.408441 89.373537\nAu -21.186803 -22.995627 90.193240\nAu -100.707380 -45.582812 91.012943\nAu 15.033279 51.285531 92.381924\nAu -64.487298 28.698345 93.201627\nAu -28.267216 102.979503 95.390311\nAu 57.162777 -46.232756 102.673386\nAu -22.357800 -68.819941 103.493089\nAu 93.382859 28.048402 104.862070\nAu 13.862282 5.461216 105.681773\nAu -65.658295 -17.125969 106.501477\nAu 50.082364 79.742374 107.870458\nAu -29.438213 57.155188 108.690161\nAu 12.691286 -40.363098 118.981623\nAu 48.911368 33.918059 121.170307\nAu -30.609209 11.330874 121.990010\nAu 47.740372 -11.906255 134.470157\nAu -31.780205 -34.493440 135.289860\nAu 4.439877 39.787717 137.478544\n"
    },
    {
     "name": "Au-FCC-52-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (52-linker), nanometres\nAu 40.455306 7.080778 -157.217209\nAu -3.771172 -55.301846 -152.746536\nAu -12.765956 -1.889623 -152.655494\nAu -21.760739 51.522601 -152.564452\nAu -65.987217 -10.860023 -148.093778\nAu 83.749600 -68.079951 -121.470756\nAu 74.754817 -14.667728 -121.379714\nAu 65.760034 38.744495 -121.288672\nAu 56.765251 92.156718 -121.197630\nAu 30.528339 -77.050352 -116.909041\nAu 21.533556 -23.638128 -116.817999\nAu 12.538772 29.774095 -116.726957\nAu 3.543989 83.186318 -116.635915\nAu -22.692922 -86.020752 -112.347325\nAu -31.687706 -32.608529 -112.256283\nAu -40.682489 20.803694 -112.165241\nAu -49.677272 74.215918 -112.074199\nAu -75.914184 -94.991152 -107.785610\nAu -84.908967 -41.578929 -107.694568\nAu -93.903750 11.833294 -107.603526\nAu -102.898534 65.245517 -107.512484\nAu 109.054328 -36.416234 -85.542220\nAu 100.059545 16.995989 -85.451178\nAu 91.064762 70.408212 -85.360136\nAu 64.827850 -98.798857 -81.071546\nAu 55.833067 -45.386634 -80.980504\nAu 46.838284 8.025589 -80.889462\nAu 37.843500 61.437812 -80.798420\nAu 28.848717 114.850035 -80.707378\nAu 11.606589 -107.769258 -76.509831\nAu 2.611806 -54.357034 -76.418789\nAu -6.382978 -0.944811 -76.327747\nAu -15.377761 52.467412 -76.236705\nAu -24.372544 105.879635 -76.145663\nAu -41.614673 -116.739658 -71.948115\nAu -50.609456 -63.327435 -71.857073\nAu -59.604239 -9.915212 -71.766031\nAu -68.599023 43.497012 -71.674989\nAu -77.593806 96.909235 -71.583947\nAu -103.830717 -72.297835 -67.295358\nAu -112.825501 -18.885612 -67.204316\nAu -121.820284 34.526611 -67.113274\nAu 143.353840 -58.164740 -49.704725\nAu 134.359056 -4.752517 -49.613683\nAu 125.364273 48.659707 -49.522641\nAu 116.369490 102.071930 -49.431599\nAu 99.127362 -120.547363 -45.234052\nAu 90.132578 -67.135140 -45.143010\nAu 81.137795 -13.722917 -45.051968\nAu 72.143012 39.689306 -44.960926\nAu 63.148228 93.101530 -44.869884\nAu 54.153445 146.513753 -44.778842\nAu 45.906100 -129.517763 -40.672336\nAu 36.911317 -76.105540 -40.581294\nAu 27.916533 -22.693317 -40.490252\nAu 18.921750 30.718906 -40.399210\nAu 9.926967 84.131129 -40.308168\nAu 0.932184 137.543352 -40.217126\nAu -7.315161 -138.488164 -36.110621\nAu -16.309945 -85.075941 -36.019579\nAu -25.304728 -31.663717 -35.928537\nAu -34.299511 21.748506 -35.837495\nAu -43.294295 75.160729 -35.746453\nAu -52.289078 128.572952 -35.655411\nAu -60.536423 -147.458564 -31.548905\nAu -69.531206 -94.046341 -31.457863\nAu -78.525989 -40.634118 -31.366821\nAu -87.520773 12.778106 -31.275779\nAu -96.515556 66.190329 -31.184737\nAu -105.510339 119.602552 -31.093695\nAu -122.752468 -103.016741 -26.896148\nAu -131.747251 -49.604518 -26.805106\nAu -140.742034 3.807705 -26.714064\nAu -149.736817 57.219928 -26.623022\nAu 159.663784 26.911201 -13.685146\nAu 124.432089 -88.883646 -9.305515\nAu 115.437306 -35.471423 -9.214473\nAu 106.442523 17.940801 -9.123431\nAu 97.447740 71.353024 -9.032389\nAu 88.452956 124.765247 -8.941347\nAu 71.210828 -97.854046 -4.743799\nAu 62.216045 -44.441823 -4.652757\nAu 53.221261 8.970400 -4.561715\nAu 44.226478 62.382623 -4.470674\nAu 35.231695 115.794847 -4.379632\nAu 26.984350 -160.236670 -0.273126\nAu 17.989567 -106.824446 -0.182084\nAu 8.994783 -53.412223 -0.091042\nAu 0.000000 0.000000 0.000000\nAu -8.994783 53.412223 0.091042\nAu -17.989567 106.824446 0.182084\nAu -26.984350 160.236670 0.273126\nAu -35.231695 -115.794847 4.379632\nAu -44.226478 -62.382623 4.470674\nAu -53.221261 -8.970400 4.561715\nAu -62.216045 44.441823 4.652757\nAu -71.210828 97.854046 4.743799\nAu -88.452956 -124.765247 8.941347\nAu -97.447740 -71.353024 9.032389\nAu -106.442523 -17.940801 9.123431\nAu -115.437306 35.471423 9.214473\nAu -124.432089 88.883646 9.305515\nAu -159.663784 -26.911201 13.685146\nAu 149.736817 -57.219928 26.623022\nAu 140.742034 -3.807705 26.714064\nAu 131.747251 49.604518 26.805106\nAu 122.752468 103.016741 26.896148\nAu 105.510339 -119.602552 31.093695\nAu 96.515556 -66.190329 31.184737\nAu 87.520773 -12.778106 31.275779\nAu 78.525989 40.634118 31.366821\nAu 69.531206 94.046341 31.457863\nAu 60.536423 147.458564 31.548905\nAu 52.289078 -128.572952 35.655411\nAu 43.294295 -75.160729 35.746453\nAu 34.299511 -21.748506 35.837495\nAu 25.304728 31.663717 35.928537\nAu 16.309945 85.075941 36.019579\nAu 7.315161 138.488164 36.110621\nAu -0.932184 -137.543352 40.217126\nAu -9.926967 -84.131129 40.308168\nAu -18.921750 -30.718906 40.399210\nAu -27.916533 22.693317 40.490252\nAu -36.911317 76.105540 40.581294\nAu -45.906100 129.517763 40.672336\nAu -54.153445 -146.513753 44.778842\nAu -63.148228 -93.101530 44.869884\nAu -72.143012 -39.689306 44.960926\nAu -81.137795 13.722917 45.051968\nAu -90.132578 67.135140 45.143010\nAu -99.127362 120.547363 45.234052\nAu -116.369490 -102.071930 49.431599\nAu -125.364273 -48.659707 49.522641\nAu -134.359056 4.752517 49.613683\nAu -143.353840 58.164740 49.704725\nAu 121.820284 -34.526611 67.113274\nAu 112.825501 18.885612 67.204316\nAu 103.830717 72.297835 67.295358\nAu 77.593806 -96.909235 71.583947\nAu 68.599023 -43.497012 71.674989\nAu 59.604239 9.915212 71.766031\nAu 50.609456 63.327435 71.857073\nAu 41.614673 116.739658 71.948115\nAu 24.372544 -105.879635 76.145663\nAu 15.377761 -52.467412 76.236705\nAu 6.382978 0.944811 76.327747\nAu -2.611806 54.357034 76.418789\nAu -11.606589 107.769258 76.509831\nAu -28.848717 -114.850035 80.707378\nAu -37.843500 -61.437812 80.798420\nAu -46.838284 -8.025589 80.889462\nAu -55.833067 45.386634 80.980504\nAu -64.827850 98.798857 81.071546\nAu -91.064762 -70.408212 85.360136\nAu -100.059545 -16.995989 85.451178\nAu -109.054328 36.416234 85.542220\nAu 102.898534 -65.245517 107.512484\nAu 93.903750 -11.833294 107.603526\nAu 84.908967 41.578929 107.694568\nAu 75.914184 94.991152 107.785610\nAu 49.677272 -74.215918 112.074199\nAu 40.682489 -20.803694 112.165241\nAu 31.687706 32.608529 112.256283\nAu 22.692922 86.020752 112.347325\nAu -3.543989 -83.186318 116.635915\nAu -12.538772 -29.774095 116.726957\nAu -21.533556 23.638128 116.817999\nAu -30.528339 77.050352 116.909041\nAu -56.765251 -92.156718 121.197630\nAu -65.760034 -38.744495 121.288672\nAu -74.754817 14.667728 121.379714\nAu -83.749600 68.079951 121.470756\nAu 65.987217 10.860023 148.093778\nAu 21.760739 -51.522601 152.564452\nAu 12.765956 1.889623 152.655494\nAu 3.771172 55.301846 152.746536\nAu -40.455306 -7.080778 157.217209\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "13-linker (Au-FCC-13-linker.xyz)"
    },
    {
     "label": "B",
     "value": "52-linker (Au-FCC-52-linker.xyz)"
    },
    {
     "label": "C",
     "value": "39-linker (Au-FCC-39-linker.xyz)"
    },
    {
     "label": "D",
     "value": "26-linker (Au-FCC-26-linker.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SL-DES-GOLD",
   "family": "superlattice_design",
   "ability": "design",
   "question": "The four XYZ files list the gold-nanoparticle centres (nm) of model crystallites of DNA-linked gold-nanoparticle superlattices assembled with four different duplex DNA linkers; each file is named after its linker and was built from that linker's published SAXS unit-cell size. Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. You must choose one linker for a new superlattice such that the nearest-neighbour spacing is as large as possible while at least 1.0 % of the volume is gold (solid gold cores of diameter 10.3 nm; perfect infinite lattice). Which linker should you choose?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "inputs": [
    {
     "name": "Au-FCC-X-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (X-linker), nanometres\nAu 12.847380 -0.299070 -83.444804\nAu -9.428681 41.727890 -72.787796\nAu -9.116806 13.587162 -72.638921\nAu -8.804932 -14.553566 -72.490047\nAu -8.493058 -42.694294 -72.341172\nAu 29.905357 42.195845 -66.733502\nAu 30.217232 14.055117 -66.584627\nAu 30.529106 -14.085611 -66.435753\nAu 30.840980 -42.226339 -66.286878\nAu -31.080992 27.473393 -61.833038\nAu -30.769118 -0.667335 -61.684163\nAu -30.457244 -28.808063 -61.535289\nAu 7.941171 56.082076 -55.927619\nAu 8.253046 27.941348 -55.778744\nAu 8.564920 -0.199380 -55.629870\nAu 8.876794 -28.340108 -55.480995\nAu 9.188668 -56.480836 -55.332121\nAu -53.045178 41.359624 -51.027155\nAu -52.733304 13.218896 -50.878280\nAu -52.421430 -14.921832 -50.729406\nAu -52.109556 -43.062560 -50.580531\nAu 47.587084 28.409303 -49.724450\nAu 47.898958 0.268575 -49.575576\nAu 48.210832 -27.872153 -49.426701\nAu -14.023015 69.968307 -45.121736\nAu -13.711140 41.827579 -44.972861\nAu -13.399266 13.686851 -44.823986\nAu -13.087392 -14.453876 -44.675112\nAu -12.775518 -42.594604 -44.526237\nAu -12.463644 -70.735332 -44.377363\nAu -74.385616 -1.035600 -39.923523\nAu 25.311023 70.436263 -39.067442\nAu 25.622898 42.295535 -38.918567\nAu 25.934772 14.154807 -38.769693\nAu 26.246646 -13.985921 -38.620818\nAu 26.558520 -42.126649 -38.471944\nAu 26.870394 -70.267377 -38.323069\nAu -35.675326 55.713811 -34.166978\nAu -35.363452 27.573083 -34.018103\nAu -35.051578 -0.567645 -33.869229\nAu -34.739704 -28.708373 -33.720354\nAu -34.427830 -56.849101 -33.571480\nAu 64.956936 42.763490 -32.864273\nAu 65.268810 14.622762 -32.715399\nAu 65.580684 -13.517966 -32.566524\nAu 65.892558 -41.658694 -32.417650\nAu 3.658712 56.181766 -28.112684\nAu 3.970586 28.041038 -27.963809\nAu 4.282460 -0.099690 -27.814935\nAu 4.594334 -28.240418 -27.666060\nAu 4.906208 -56.381146 -27.517186\nAu -57.327638 41.459314 -23.212220\nAu -57.015764 13.318586 -23.063345\nAu -56.703890 -14.822142 -22.914471\nAu -56.392016 -42.962870 -22.765596\nAu 42.992750 56.649721 -22.058390\nAu 43.304624 28.508993 -21.909516\nAu 43.616498 0.368265 -21.760641\nAu 43.928372 -27.772463 -21.611766\nAu 44.240246 -55.913191 -21.462892\nAu -18.305474 70.067997 -17.306801\nAu -17.993600 41.927269 -17.157926\nAu -17.681726 13.786541 -17.009052\nAu -17.369852 -14.354187 -16.860177\nAu -17.057978 -42.494915 -16.711303\nAu -16.746104 -70.635642 -16.562428\nAu 82.950536 0.836220 -15.706347\nAu -78.979950 27.204818 -12.257462\nAu -78.668076 -0.935910 -12.108588\nAu -78.356202 -29.076638 -11.959713\nAu 21.028564 70.535953 -11.252507\nAu 21.340438 42.395225 -11.103632\nAu 21.652312 14.254497 -10.954758\nAu 21.964186 -13.886231 -10.805883\nAu 22.276060 -42.026959 -10.657009\nAu 22.587934 -70.167687 -10.508134\nAu -39.957786 55.813501 -6.352043\nAu -39.645912 27.672773 -6.203168\nAu -39.334038 -0.467955 -6.054294\nAu -39.022164 -28.608683 -5.905419\nAu -38.710290 -56.749411 -5.756545\nAu 60.674476 42.863180 -5.049338\nAu 60.986350 14.722452 -4.900464\nAu 61.298224 -13.418276 -4.751589\nAu 61.610098 -41.559004 -4.602715\nAu -0.935622 84.422184 -0.446624\nAu -0.623748 56.281456 -0.297749\nAu -0.311874 28.140728 -0.148875\nAu 0.000000 0.000000 0.000000\nAu 0.311874 -28.140728 0.148875\nAu 0.623748 -56.281456 0.297749\nAu 0.935622 -84.422184 0.446624\nAu -61.610098 41.559004 4.602715\nAu -61.298224 13.418276 4.751589\nAu -60.986350 -14.722452 4.900464\nAu -60.674476 -42.863180 5.049338\nAu 38.710290 56.749411 5.756545\nAu 39.022164 28.608683 5.905419\nAu 39.334038 0.467955 6.054294\nAu 39.645912 -27.672773 6.203168\nAu 39.957786 -55.813501 6.352043\nAu -22.587934 70.167687 10.508134\nAu -22.276060 42.026959 10.657009\nAu -21.964186 13.886231 10.805883\nAu -21.652312 -14.254497 10.954758\nAu -21.340438 -42.395225 11.103632\nAu -21.028564 -70.535953 11.252507\nAu 78.356202 29.076638 11.959713\nAu 78.668076 0.935910 12.108588\nAu 78.979950 -27.204818 12.257462\nAu -82.950536 -0.836220 15.706347\nAu 16.746104 70.635642 16.562428\nAu 17.057978 42.494915 16.711303\nAu 17.369852 14.354187 16.860177\nAu 17.681726 -13.786541 17.009052\nAu 17.993600 -41.927269 17.157926\nAu 18.305474 -70.067997 17.306801\nAu -44.240246 55.913191 21.462892\nAu -43.928372 27.772463 21.611766\nAu -43.616498 -0.368265 21.760641\nAu -43.304624 -28.508993 21.909516\nAu -42.992750 -56.649721 22.058390\nAu 56.392016 42.962870 22.765596\nAu 56.703890 14.822142 22.914471\nAu 57.015764 -13.318586 23.063345\nAu 57.327638 -41.459314 23.212220\nAu -4.906208 56.381146 27.517186\nAu -4.594334 28.240418 27.666060\nAu -4.282460 0.099690 27.814935\nAu -3.970586 -28.041038 27.963809\nAu -3.658712 -56.181766 28.112684\nAu -65.892558 41.658694 32.417650\nAu -65.580684 13.517966 32.566524\nAu -65.268810 -14.622762 32.715399\nAu -64.956936 -42.763490 32.864273\nAu 34.427830 56.849101 33.571480\nAu 34.739704 28.708373 33.720354\nAu 35.051578 0.567645 33.869229\nAu 35.363452 -27.573083 34.018103\nAu 35.675326 -55.713811 34.166978\nAu -26.870394 70.267377 38.323069\nAu -26.558520 42.126649 38.471944\nAu -26.246646 13.985921 38.620818\nAu -25.934772 -14.154807 38.769693\nAu -25.622898 -42.295535 38.918567\nAu -25.311023 -70.436263 39.067442\nAu 74.385616 1.035600 39.923523\nAu 12.463644 70.735332 44.377363\nAu 12.775518 42.594604 44.526237\nAu 13.087392 14.453876 44.675112\nAu 13.399266 -13.686851 44.823986\nAu 13.711140 -41.827579 44.972861\nAu 14.023015 -69.968307 45.121736\nAu -48.210832 27.872153 49.426701\nAu -47.898958 -0.268575 49.575576\nAu -47.587084 -28.409303 49.724450\nAu 52.109556 43.062560 50.580531\nAu 52.421430 14.921832 50.729406\nAu 52.733304 -13.218896 50.878280\nAu 53.045178 -41.359624 51.027155\nAu -9.188668 56.480836 55.332121\nAu -8.876794 28.340108 55.480995\nAu -8.564920 0.199380 55.629870\nAu -8.253046 -27.941348 55.778744\nAu -7.941171 -56.082076 55.927619\nAu 30.457244 28.808063 61.535289\nAu 30.769118 0.667335 61.684163\nAu 31.080992 -27.473393 61.833038\nAu -30.840980 42.226339 66.286878\nAu -30.529106 14.085611 66.435753\nAu -30.217232 -14.055117 66.584627\nAu -29.905357 -42.195845 66.733502\nAu 8.493058 42.694294 72.341172\nAu 8.804932 14.553566 72.490047\nAu 9.116806 -13.587162 72.638921\nAu 9.428681 -41.727890 72.787796\nAu -12.847380 0.299070 83.444804\n"
    },
    {
     "name": "Au-FCC-13-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (13-linker), nanometres\nAu -20.586254 -13.158215 -94.253448\nAu 18.591315 27.073863 -91.662500\nAu 9.017075 -3.285277 -85.333079\nAu -24.179019 42.073197 -84.414845\nAu -0.557165 -33.644416 -79.003657\nAu -33.753259 11.714058 -78.085423\nAu 38.620404 6.587661 -76.412709\nAu 5.424310 51.946136 -75.494476\nAu -10.131405 -64.003556 -72.674235\nAu -43.327499 -18.645082 -71.756002\nAu 29.046164 -23.771478 -70.083287\nAu -4.149930 21.586996 -69.165054\nAu 68.223733 16.460600 -67.492339\nAu 35.027639 61.819074 -66.574106\nAu -52.901738 -49.004221 -65.426580\nAu 19.471925 -54.130618 -63.753866\nAu -13.724169 -8.772143 -62.835632\nAu -46.920264 36.586331 -61.917399\nAu 58.649493 -13.898540 -61.162918\nAu 25.453399 31.459934 -60.244684\nAu -7.742695 76.818409 -59.326451\nAu -23.298409 -39.131283 -56.506210\nAu -56.494503 6.227191 -55.587977\nAu 49.075254 -44.257679 -54.833496\nAu 15.879160 1.100795 -53.915263\nAu -17.316934 46.459269 -52.997029\nAu 55.056729 41.332873 -51.324315\nAu -32.872649 -69.490423 -50.176789\nAu -66.068743 -24.131948 -49.258555\nAu 39.501014 -74.616819 -48.504074\nAu 6.304920 -29.258345 -47.585841\nAu -26.891174 16.100130 -46.667607\nAu 78.678583 -34.384741 -45.913126\nAu -60.087268 61.458604 -45.749374\nAu 45.482489 10.973733 -44.994893\nAu 12.286395 56.332207 -44.076660\nAu -3.269320 -59.617484 -41.256419\nAu -36.465414 -14.259010 -40.338186\nAu -69.661508 31.099464 -39.419952\nAu 35.908249 -19.385406 -38.665471\nAu 2.712155 25.973068 -37.747238\nAu -30.483939 71.331542 -36.829004\nAu 75.085818 20.846671 -36.074523\nAu 41.889724 66.205146 -35.156290\nAu -12.843560 -89.976624 -34.926997\nAu -46.039654 -44.618150 -34.008764\nAu -79.235748 0.740325 -33.090531\nAu 26.334009 -49.744546 -32.336050\nAu -6.862085 -4.386072 -31.417816\nAu -40.058179 40.972403 -30.499583\nAu 65.511578 -9.512468 -29.745102\nAu 32.315484 35.846006 -28.826868\nAu -0.880610 81.204480 -27.908635\nAu -55.613893 -74.977289 -27.679342\nAu -88.809987 -29.618815 -26.761109\nAu 16.759770 -80.103686 -26.006628\nAu -16.436324 -34.745211 -25.088394\nAu -49.632419 10.613263 -24.170161\nAu 55.937338 -39.871608 -23.415680\nAu 22.741244 5.486867 -22.497446\nAu -10.454850 50.845341 -21.579213\nAu 95.114907 0.360470 -20.824732\nAu 61.918813 45.718944 -19.906499\nAu 28.722719 91.077419 -18.988265\nAu -26.010564 -65.104351 -18.758973\nAu -59.206658 -19.745877 -17.840739\nAu 46.363099 -70.230747 -17.086258\nAu -92.402752 25.612598 -16.922506\nAu 13.167005 -24.872273 -16.168025\nAu -20.029089 20.486201 -15.249791\nAu 85.540668 -29.998669 -14.495310\nAu -53.225183 65.844676 -14.331558\nAu 52.344574 15.359805 -13.577077\nAu 19.148479 60.718279 -12.658843\nAu -68.780898 -50.105016 -11.511317\nAu 3.592765 -55.231413 -9.838603\nAu -29.603329 -9.872938 -8.920370\nAu 75.966428 -60.357809 -8.165889\nAu -62.799423 35.485536 -8.002136\nAu 42.770334 -14.999335 -7.247655\nAu 9.574240 30.359140 -6.329422\nAu -23.621854 75.717614 -5.411188\nAu 81.947903 25.232743 -4.656707\nAu 48.751809 70.591217 -3.738474\nAu -5.981475 -85.590552 -3.509181\nAu -39.177569 -40.232078 -2.590948\nAu -72.373663 5.126396 -1.672714\nAu 33.196094 -45.358474 -0.918233\nAu 0.000000 0.000000 0.000000\nAu -33.196094 45.358474 0.918233\nAu 72.373663 -5.126396 1.672714\nAu 39.177569 40.232078 2.590948\nAu 5.981475 85.590552 3.509181\nAu -48.751809 -70.591217 3.738474\nAu -81.947903 -25.232743 4.656707\nAu 23.621854 -75.717614 5.411188\nAu -9.574240 -30.359140 6.329422\nAu -42.770334 14.999335 7.247655\nAu 62.799423 -35.485536 8.002136\nAu -75.966428 60.357809 8.165889\nAu 29.603329 9.872938 8.920370\nAu -3.592765 55.231413 9.838603\nAu 68.780898 50.105016 11.511317\nAu -19.148479 -60.718279 12.658843\nAu -52.344574 -15.359805 13.577077\nAu 53.225183 -65.844676 14.331558\nAu -85.540668 29.998669 14.495310\nAu 20.029089 -20.486201 15.249791\nAu -13.167005 24.872273 16.168025\nAu 92.402752 -25.612598 16.922506\nAu -46.363099 70.230747 17.086258\nAu 59.206658 19.745877 17.840739\nAu 26.010564 65.104351 18.758973\nAu -28.722719 -91.077419 18.988265\nAu -61.918813 -45.718944 19.906499\nAu -95.114907 -0.360470 20.824732\nAu 10.454850 -50.845341 21.579213\nAu -22.741244 -5.486867 22.497446\nAu -55.937338 39.871608 23.415680\nAu 49.632419 -10.613263 24.170161\nAu 16.436324 34.745211 25.088394\nAu -16.759770 80.103686 26.006628\nAu 88.809987 29.618815 26.761109\nAu 55.613893 74.977289 27.679342\nAu 0.880610 -81.204480 27.908635\nAu -32.315484 -35.846006 28.826868\nAu -65.511578 9.512468 29.745102\nAu 40.058179 -40.972403 30.499583\nAu 6.862085 4.386072 31.417816\nAu -26.334009 49.744546 32.336050\nAu 79.235748 -0.740325 33.090531\nAu 46.039654 44.618150 34.008764\nAu 12.843560 89.976624 34.926997\nAu -41.889724 -66.205146 35.156290\nAu -75.085818 -20.846671 36.074523\nAu 30.483939 -71.331542 36.829004\nAu -2.712155 -25.973068 37.747238\nAu -35.908249 19.385406 38.665471\nAu 69.661508 -31.099464 39.419952\nAu 36.465414 14.259010 40.338186\nAu 3.269320 59.617484 41.256419\nAu -12.286395 -56.332207 44.076660\nAu -45.482489 -10.973733 44.994893\nAu 60.087268 -61.458604 45.749374\nAu -78.678583 34.384741 45.913126\nAu 26.891174 -16.100130 46.667607\nAu -6.304920 29.258345 47.585841\nAu -39.501014 74.616819 48.504074\nAu 66.068743 24.131948 49.258555\nAu 32.872649 69.490423 50.176789\nAu -55.056729 -41.332873 51.324315\nAu 17.316934 -46.459269 52.997029\nAu -15.879160 -1.100795 53.915263\nAu -49.075254 44.257679 54.833496\nAu 56.494503 -6.227191 55.587977\nAu 23.298409 39.131283 56.506210\nAu 7.742695 -76.818409 59.326451\nAu -25.453399 -31.459934 60.244684\nAu -58.649493 13.898540 61.162918\nAu 46.920264 -36.586331 61.917399\nAu 13.724169 8.772143 62.835632\nAu -19.471925 54.130618 63.753866\nAu 52.901738 49.004221 65.426580\nAu -35.027639 -61.819074 66.574106\nAu -68.223733 -16.460600 67.492339\nAu 4.149930 -21.586996 69.165054\nAu -29.046164 23.771478 70.083287\nAu 43.327499 18.645082 71.756002\nAu 10.131405 64.003556 72.674235\nAu -5.424310 -51.946136 75.494476\nAu -38.620404 -6.587661 76.412709\nAu 33.753259 -11.714058 78.085423\nAu 0.557165 33.644416 79.003657\nAu 24.179019 -42.073197 84.414845\nAu -9.017075 3.285277 85.333079\nAu -18.591315 -27.073863 91.662500\nAu 20.586254 13.158215 94.253448\n"
    },
    {
     "name": "Au-FCC-26-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (26-linker), nanometres\nAu -31.516436 -8.760683 -116.406463\nAu 24.823795 -49.051954 -107.694870\nAu 7.093954 -12.915774 -105.614197\nAu -10.635887 23.220407 -103.533524\nAu -28.365728 59.356587 -101.452851\nAu 45.704344 -17.070864 -94.821931\nAu 27.974503 19.065317 -92.741258\nAu -24.161665 -73.957726 -92.557921\nAu 10.244662 55.201497 -90.660585\nAu -41.891506 -37.821545 -90.477248\nAu -59.621347 -1.685365 -88.396575\nAu -77.351188 34.450815 -86.315902\nAu 84.314734 -21.225954 -84.029665\nAu 66.584893 14.910226 -81.948992\nAu 14.448725 -78.112816 -81.765655\nAu 48.855052 51.046407 -79.868319\nAu -3.281116 -41.976636 -79.684982\nAu 31.125210 87.182587 -77.787646\nAu -21.010957 -5.840455 -77.604309\nAu -38.740799 30.295725 -75.523636\nAu -56.470640 66.431905 -73.442963\nAu 53.059115 -82.267907 -70.973388\nAu 87.465441 46.891316 -69.076052\nAu 35.329274 -46.131726 -68.892716\nAu 17.599433 -9.995546 -66.812043\nAu -0.130409 26.140635 -64.731370\nAu -52.266576 -66.882408 -64.548033\nAu -17.860250 62.276815 -62.650697\nAu -69.996417 -30.746227 -62.467360\nAu -35.590091 98.412995 -60.570024\nAu -87.726259 5.389953 -60.386687\nAu 73.939664 -50.286816 -58.100449\nAu 56.209823 -14.150636 -56.019776\nAu 4.073655 -107.173678 -55.836440\nAu 38.479981 21.985544 -53.939103\nAu -13.656186 -71.037498 -53.755767\nAu 20.750140 58.121725 -51.858430\nAu -31.386027 -34.901318 -51.675094\nAu 3.020299 94.257905 -49.777758\nAu -49.115869 1.234863 -49.594421\nAu -66.845710 37.371043 -47.513748\nAu -84.575551 73.507223 -45.433075\nAu 94.820213 -18.305726 -45.227510\nAu 77.090371 17.830454 -43.146837\nAu 24.954204 -75.192588 -42.963500\nAu 59.360530 53.966634 -41.066164\nAu 7.224363 -39.056408 -40.882827\nAu 41.630689 90.102815 -38.985491\nAu -10.505479 -2.920228 -38.802154\nAu -62.641646 -95.943270 -38.618818\nAu -28.235320 33.215953 -36.721481\nAu -80.371488 -59.807090 -36.538145\nAu -45.965161 69.352133 -34.640809\nAu -98.101329 -23.670909 -34.457472\nAu -115.831170 12.465271 -32.376799\nAu 115.700761 13.675364 -32.354571\nAu 63.564594 -79.347679 -32.171234\nAu 97.970920 49.811544 -30.273898\nAu 45.834752 -43.211498 -30.090561\nAu 80.241079 85.947724 -28.193225\nAu 28.104911 -7.075318 -28.009888\nAu -24.031256 -100.098360 -27.826551\nAu 10.375070 29.060862 -25.929215\nAu -41.761098 -63.962180 -25.745878\nAu -7.354771 65.197043 -23.848542\nAu -59.490939 -27.826000 -23.665205\nAu -25.084612 101.333223 -21.767869\nAu -77.220780 8.310181 -21.584533\nAu -94.950621 44.446361 -19.503860\nAu 84.445142 -47.366589 -19.298295\nAu 66.715301 -11.230408 -17.217622\nAu 14.579134 -104.253451 -17.034285\nAu 48.985460 24.905772 -15.136949\nAu -3.150708 -68.117270 -14.953612\nAu 31.255619 61.041952 -13.056276\nAu -20.880549 -31.981090 -12.872939\nAu 13.525778 97.178133 -10.975603\nAu -38.610390 4.155090 -10.792266\nAu -56.340231 40.291271 -8.711593\nAu -108.476399 -52.731772 -8.528256\nAu -74.070072 76.427451 -6.630920\nAu 105.325691 -15.385499 -6.425356\nAu 53.189524 -108.408541 -6.242019\nAu 87.595850 20.750682 -4.344683\nAu 35.459682 -72.272361 -4.161346\nAu 69.866009 56.886862 -2.264010\nAu 17.729841 -36.136180 -2.080673\nAu 52.136168 93.023042 -0.183337\nAu 0.000000 0.000000 0.000000\nAu -52.136168 -93.023042 0.183337\nAu -17.729841 36.136180 2.080673\nAu -69.866009 -56.886862 2.264010\nAu -35.459682 72.272361 4.161346\nAu -87.595850 -20.750682 4.344683\nAu -53.189524 108.408541 6.242019\nAu -105.325691 15.385499 6.425356\nAu 74.070072 -76.427451 6.630920\nAu 108.476399 52.731772 8.528256\nAu 56.340231 -40.291271 8.711593\nAu 38.610390 -4.155090 10.792266\nAu -13.525778 -97.178133 10.975603\nAu 20.880549 31.981090 12.872939\nAu -31.255619 -61.041952 13.056276\nAu 3.150708 68.117270 14.953612\nAu -48.985460 -24.905772 15.136949\nAu -14.579134 104.253451 17.034285\nAu -66.715301 11.230408 17.217622\nAu -84.445142 47.366589 19.298295\nAu 94.950621 -44.446361 19.503860\nAu 77.220780 -8.310181 21.584533\nAu 25.084612 -101.333223 21.767869\nAu 59.490939 27.826000 23.665205\nAu 7.354771 -65.197043 23.848542\nAu 41.761098 63.962180 25.745878\nAu -10.375070 -29.060862 25.929215\nAu 24.031256 100.098360 27.826551\nAu -28.104911 7.075318 28.009888\nAu -80.241079 -85.947724 28.193225\nAu -45.834752 43.211498 30.090561\nAu -97.970920 -49.811544 30.273898\nAu -63.564594 79.347679 32.171234\nAu -115.700761 -13.675364 32.354571\nAu 115.831170 -12.465271 32.376799\nAu 98.101329 23.670909 34.457472\nAu 45.965161 -69.352133 34.640809\nAu 80.371488 59.807090 36.538145\nAu 28.235320 -33.215953 36.721481\nAu 62.641646 95.943270 38.618818\nAu 10.505479 2.920228 38.802154\nAu -41.630689 -90.102815 38.985491\nAu -7.224363 39.056408 40.882827\nAu -59.360530 -53.966634 41.066164\nAu -24.954204 75.192588 42.963500\nAu -77.090371 -17.830454 43.146837\nAu -94.820213 18.305726 45.227510\nAu 84.575551 -73.507223 45.433075\nAu 66.845710 -37.371043 47.513748\nAu 49.115869 -1.234863 49.594421\nAu -3.020299 -94.257905 49.777758\nAu 31.386027 34.901318 51.675094\nAu -20.750140 -58.121725 51.858430\nAu 13.656186 71.037498 53.755767\nAu -38.479981 -21.985544 53.939103\nAu -4.073655 107.173678 55.836440\nAu -56.209823 14.150636 56.019776\nAu -73.939664 50.286816 58.100449\nAu 87.726259 -5.389953 60.386687\nAu 35.590091 -98.412995 60.570024\nAu 69.996417 30.746227 62.467360\nAu 17.860250 -62.276815 62.650697\nAu 52.266576 66.882408 64.548033\nAu 0.130409 -26.140635 64.731370\nAu -17.599433 9.995546 66.812043\nAu -35.329274 46.131726 68.892716\nAu -87.465441 -46.891316 69.076052\nAu -53.059115 82.267907 70.973388\nAu 56.470640 -66.431905 73.442963\nAu 38.740799 -30.295725 75.523636\nAu 21.010957 5.840455 77.604309\nAu -31.125210 -87.182587 77.787646\nAu 3.281116 41.976636 79.684982\nAu -48.855052 -51.046407 79.868319\nAu -14.448725 78.112816 81.765655\nAu -66.584893 -14.910226 81.948992\nAu -84.314734 21.225954 84.029665\nAu 77.351188 -34.450815 86.315902\nAu 59.621347 1.685365 88.396575\nAu 41.891506 37.821545 90.477248\nAu -10.244662 -55.201497 90.660585\nAu 24.161665 73.957726 92.557921\nAu -27.974503 -19.065317 92.741258\nAu -45.704344 17.070864 94.821931\nAu 28.365728 -59.356587 101.452851\nAu 10.635887 -23.220407 103.533524\nAu -7.093954 12.915774 105.614197\nAu -24.823795 49.051954 107.694870\nAu 31.516436 8.760683 116.406463\n"
    },
    {
     "name": "Au-FCC-39-linker.xyz",
     "format": "xyz",
     "unit": "nm",
     "text": "177\nAu nanoparticle centres of a model DNA-linked superlattice crystallite (39-linker), nanometres\nAu -4.439877 -39.787717 -137.478544\nAu 31.780205 34.493440 -135.289860\nAu -47.740372 11.906255 -134.470157\nAu 30.609209 -11.330874 -121.990010\nAu -48.911368 -33.918059 -121.170307\nAu -12.691286 40.363098 -118.981623\nAu 29.438213 -57.155188 -108.690161\nAu -50.082364 -79.742374 -107.870458\nAu 65.658295 17.125969 -106.501477\nAu -13.862282 -5.461216 -105.681773\nAu -93.382859 -28.048402 -104.862070\nAu 22.357800 68.819941 -103.493089\nAu -57.162777 46.232756 -102.673386\nAu 28.267216 -102.979503 -95.390311\nAu 64.487298 -28.698345 -93.201627\nAu -15.033279 -51.285531 -92.381924\nAu 100.707380 45.582812 -91.012943\nAu 21.186803 22.995627 -90.193240\nAu -58.333774 0.408441 -89.373537\nAu 57.406885 97.276784 -88.004556\nAu -22.113692 74.689599 -87.184852\nAu -101.634269 52.102413 -86.365149\nAu 63.316302 -74.522659 -79.901778\nAu -16.204275 -97.109845 -79.082075\nAu 99.536384 -0.241502 -77.713094\nAu 20.015807 -22.828687 -76.893390\nAu -59.504770 -45.415873 -76.073687\nAu 56.235889 51.452470 -74.704706\nAu -23.284688 28.865284 -73.885003\nAu -102.805265 6.278099 -73.065300\nAu 12.935394 103.146442 -71.696319\nAu -66.585183 80.559256 -70.876616\nAu 98.365388 -46.065816 -64.413244\nAu 18.844811 -68.653002 -63.593541\nAu -60.675766 -91.240187 -62.773838\nAu 55.064893 5.628156 -61.404857\nAu -24.455684 -16.959030 -60.585154\nAu -103.976261 -39.546215 -59.765450\nAu 91.284975 79.909313 -59.216173\nAu 11.764398 57.322128 -58.396469\nAu -67.756179 34.734942 -57.576766\nAu -31.536097 109.016100 -55.388082\nAu 97.194392 -91.890131 -51.113395\nAu 17.673815 -114.477316 -50.293692\nAu 133.414474 -17.608973 -48.924711\nAu 53.893897 -40.196159 -48.105007\nAu -25.626680 -62.783344 -47.285304\nAu -105.147257 -85.370529 -46.465601\nAu 90.113979 34.084999 -45.916323\nAu 10.593402 11.497813 -45.096620\nAu -68.927175 -11.089372 -44.276917\nAu 46.813484 85.778971 -42.907936\nAu -32.707093 63.191785 -42.088232\nAu -112.227670 40.604600 -41.268529\nAu 3.512989 137.472943 -39.899548\nAu -76.007588 114.885757 -39.079845\nAu 52.722900 -86.020473 -34.805158\nAu -26.797676 -108.607658 -33.985455\nAu 88.942982 -11.739316 -32.616474\nAu 9.422405 -34.326501 -31.796770\nAu -70.098171 -56.913686 -30.977067\nAu 125.163064 62.541842 -30.427790\nAu 45.642487 39.954656 -29.608086\nAu -33.878090 17.367471 -28.788383\nAu -113.398666 -5.219714 -27.968680\nAu 81.862569 114.235814 -27.419402\nAu 2.341992 91.648628 -26.599699\nAu -77.178585 69.061443 -25.779996\nAu 51.551904 -131.844787 -21.505309\nAu 87.771986 -57.563630 -19.316624\nAu 8.251409 -80.150815 -18.496921\nAu -71.269168 -102.738000 -17.677218\nAu 123.992068 16.717528 -17.127940\nAu 44.471491 -5.869658 -16.308237\nAu -35.049086 -28.456843 -15.488534\nAu -114.569663 -51.044028 -14.668830\nAu 80.691573 68.411500 -14.119553\nAu 1.170996 45.824314 -13.299849\nAu -78.349581 23.237129 -12.480146\nAu 37.391078 120.105472 -11.111165\nAu -42.129499 97.518286 -10.291462\nAu -121.650076 74.931101 -9.471759\nAu 86.600990 -103.387944 -6.016775\nAu 7.080413 -125.975129 -5.197072\nAu 122.821072 -29.106787 -3.828091\nAu 43.300495 -51.693972 -3.008387\nAu -36.220082 -74.281157 -2.188684\nAu 79.520577 22.587185 -0.819703\nAu 0.000000 0.000000 0.000000\nAu -79.520577 -22.587185 0.819703\nAu 36.220082 74.281157 2.188684\nAu -43.300495 51.693972 3.008387\nAu -122.821072 29.106787 3.828091\nAu -7.080413 125.975129 5.197072\nAu -86.600990 103.387944 6.016775\nAu 121.650076 -74.931101 9.471759\nAu 42.129499 -97.518286 10.291462\nAu -37.391078 -120.105472 11.111165\nAu 78.349581 -23.237129 12.480146\nAu -1.170996 -45.824314 13.299849\nAu -80.691573 -68.411500 14.119553\nAu 114.569663 51.044028 14.668830\nAu 35.049086 28.456843 15.488534\nAu -44.471491 5.869658 16.308237\nAu -123.992068 -16.717528 17.127940\nAu 71.269168 102.738000 17.677218\nAu -8.251409 80.150815 18.496921\nAu -87.771986 57.563630 19.316624\nAu -51.551904 131.844787 21.505309\nAu 77.178585 -69.061443 25.779996\nAu -2.341992 -91.648628 26.599699\nAu -81.862569 -114.235814 27.419402\nAu 113.398666 5.219714 27.968680\nAu 33.878090 -17.367471 28.788383\nAu -45.642487 -39.954656 29.608086\nAu -125.163064 -62.541842 30.427790\nAu 70.098171 56.913686 30.977067\nAu -9.422405 34.326501 31.796770\nAu -88.942982 11.739316 32.616474\nAu 26.797676 108.607658 33.985455\nAu -52.722900 86.020473 34.805158\nAu 76.007588 -114.885757 39.079845\nAu -3.512989 -137.472943 39.899548\nAu 112.227670 -40.604600 41.268529\nAu 32.707093 -63.191785 42.088232\nAu -46.813484 -85.778971 42.907936\nAu 68.927175 11.089372 44.276917\nAu -10.593402 -11.497813 45.096620\nAu -90.113979 -34.084999 45.916323\nAu 105.147257 85.370529 46.465601\nAu 25.626680 62.783344 47.285304\nAu -53.893897 40.196159 48.105007\nAu -133.414474 17.608973 48.924711\nAu -17.673815 114.477316 50.293692\nAu -97.194392 91.890131 51.113395\nAu 31.536097 -109.016100 55.388082\nAu 67.756179 -34.734942 57.576766\nAu -11.764398 -57.322128 58.396469\nAu -91.284975 -79.909313 59.216173\nAu 103.976261 39.546215 59.765450\nAu 24.455684 16.959030 60.585154\nAu -55.064893 -5.628156 61.404857\nAu 60.675766 91.240187 62.773838\nAu -18.844811 68.653002 63.593541\nAu -98.365388 46.065816 64.413244\nAu 66.585183 -80.559256 70.876616\nAu -12.935394 -103.146442 71.696319\nAu 102.805265 -6.278099 73.065300\nAu 23.284688 -28.865284 73.885003\nAu -56.235889 -51.452470 74.704706\nAu 59.504770 45.415873 76.073687\nAu -20.015807 22.828687 76.893390\nAu -99.536384 0.241502 77.713094\nAu 16.204275 97.109845 79.082075\nAu -63.316302 74.522659 79.901778\nAu 101.634269 -52.102413 86.365149\nAu 22.113692 -74.689599 87.184852\nAu -57.406885 -97.276784 88.004556\nAu 58.333774 -0.408441 89.373537\nAu -21.186803 -22.995627 90.193240\nAu -100.707380 -45.582812 91.012943\nAu 15.033279 51.285531 92.381924\nAu -64.487298 28.698345 93.201627\nAu -28.267216 102.979503 95.390311\nAu 57.162777 -46.232756 102.673386\nAu -22.357800 -68.819941 103.493089\nAu 93.382859 28.048402 104.862070\nAu 13.862282 5.461216 105.681773\nAu -65.658295 -17.125969 106.501477\nAu 50.082364 79.742374 107.870458\nAu -29.438213 57.155188 108.690161\nAu 12.691286 -40.363098 118.981623\nAu 48.911368 33.918059 121.170307\nAu -30.609209 11.330874 121.990010\nAu 47.740372 -11.906255 134.470157\nAu -31.780205 -34.493440 135.289860\nAu 4.439877 39.787717 137.478544\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "39-linker (Au-FCC-39-linker.xyz)"
    },
    {
     "label": "B",
     "value": "X-linker (Au-FCC-X-linker.xyz)"
    },
    {
     "label": "C",
     "value": "13-linker (Au-FCC-13-linker.xyz)"
    },
    {
     "label": "D",
     "value": "26-linker (Au-FCC-26-linker.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-DIAM-S8",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the sphere diameter, in nm?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S8.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model polystyrene opal crystallite (touching spheres, FCC), nanometres\nsphere -291.730930 -0.319684 -554.488832\nsphere -94.787591 -303.398018 -539.935050\nsphere -106.720862 -94.980179 -533.776808\nsphere -118.654132 113.437660 -527.618566\nsphere -130.587402 321.855499 -521.460325\nsphere 78.289207 -189.640673 -513.064784\nsphere 66.355936 18.777166 -506.906542\nsphere 54.422666 227.195005 -500.748301\nsphere 263.299275 -284.301168 -492.352760\nsphere 251.366004 -75.883329 -486.194518\nsphere 239.432734 132.534510 -480.036277\nsphere 227.499464 340.952349 -473.878035\nsphere 424.442802 37.874016 -459.324253\nsphere -421.278593 -221.362195 -407.538990\nsphere -433.211864 -12.944356 -401.380748\nsphere -445.145134 195.473483 -395.222506\nsphere -236.268525 -316.022689 -386.826966\nsphere -248.201796 -107.604850 -380.668724\nsphere -260.135066 100.812989 -374.510482\nsphere -272.068336 309.230828 -368.352241\nsphere -51.258457 -410.683184 -366.114942\nsphere -63.191727 -202.265345 -359.956700\nsphere -75.124998 6.152494 -353.798458\nsphere -87.058268 214.570333 -347.640217\nsphere 133.751611 -505.343679 -345.402918\nsphere -98.991539 422.988172 -341.481975\nsphere 121.818341 -296.925840 -339.244676\nsphere 109.885070 -88.508001 -333.086434\nsphere 97.951800 119.909838 -326.928193\nsphere 86.018529 328.327677 -320.769951\nsphere 306.828409 -391.586334 -318.532652\nsphere 74.085259 536.745516 -314.611709\nsphere 294.895138 -183.168495 -312.374410\nsphere 282.961868 25.249344 -306.216169\nsphere 271.028598 233.667183 -300.057927\nsphere 259.095327 442.085022 -293.899685\nsphere 479.905207 -277.828990 -291.662386\nsphere 467.971936 -69.411151 -285.504145\nsphere 456.038666 139.006688 -279.345903\nsphere 444.105395 347.424527 -273.187661\nsphere -574.692798 -25.569028 -248.272664\nsphere -377.749459 -328.647361 -233.718881\nsphere -389.682730 -120.229522 -227.560640\nsphere -401.616000 88.188317 -221.402398\nsphere 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-111.684036\nsphere 499.567800 31.721522 -105.525795\nsphere 487.634530 240.139361 -99.367553\nsphere -519.230393 -341.272033 -80.610797\nsphere -531.163664 -132.854194 -74.452555\nsphere -543.096934 75.563645 -68.294314\nsphere -555.030204 283.981484 -62.136072\nsphere -334.220325 -435.932528 -59.898773\nsphere -346.153595 -227.514689 -53.740531\nsphere -358.086866 -19.096850 -47.582290\nsphere -370.020136 189.320989 -41.424048\nsphere -149.210257 -530.593022 -39.186749\nsphere -381.953407 397.738828 -35.265806\nsphere -161.143527 -322.175183 -33.028507\nsphere -173.076798 -113.757344 -26.870266\nsphere -185.010068 94.660495 -20.712024\nsphere 35.799811 -625.253517 -18.474725\nsphere -196.943339 303.078334 -14.553782\nsphere 23.866541 -416.835678 -12.316483\nsphere -208.876609 511.496173 -8.395541\nsphere 11.933270 -208.417839 -6.158242\nsphere 0.000000 0.000000 0.000000\nsphere -11.933270 208.417839 6.158242\nsphere 208.876609 -511.496173 8.395541\nsphere -23.866541 416.835678 12.316483\nsphere 196.943339 -303.078334 14.553782\nsphere -35.799811 625.253517 18.474725\nsphere 185.010068 -94.660495 20.712024\nsphere 173.076798 113.757344 26.870266\nsphere 161.143527 322.175183 33.028507\nsphere 381.953407 -397.738828 35.265806\nsphere 149.210257 530.593022 39.186749\nsphere 370.020136 -189.320989 41.424048\nsphere 358.086866 19.096850 47.582290\nsphere 346.153595 227.514689 53.740531\nsphere 334.220325 435.932528 59.898773\nsphere 555.030204 -283.981484 62.136072\nsphere 543.096934 -75.563645 68.294314\nsphere 531.163664 132.854194 74.452555\nsphere 519.230393 341.272033 80.610797\nsphere -487.634530 -240.139361 99.367553\nsphere -499.567800 -31.721522 105.525795\nsphere -511.501070 176.696317 111.684036\nsphere -290.691191 -543.217694 113.921335\nsphere -302.624461 -334.799855 120.079577\nsphere -314.557732 -126.382016 126.237819\nsphere -326.491002 82.035823 132.396060\nsphere -338.424273 290.453662 138.554302\nsphere -117.614393 -429.460350 140.791601\nsphere -350.357543 498.871501 144.712544\nsphere -129.547664 -221.042511 146.949843\nsphere -141.480934 -12.624672 153.108084\nsphere -153.414204 195.793167 159.266326\nsphere 67.395675 -524.120844 161.503625\nsphere -165.347475 404.211006 165.424568\nsphere 55.462405 -315.703005 167.661867\nsphere 43.529134 -107.285166 173.820108\nsphere 31.595864 101.132673 179.978350\nsphere 19.662593 309.550512 186.136592\nsphere 240.472473 -410.363500 188.373891\nsphere 7.729323 517.968351 192.294833\nsphere 228.539202 -201.945661 194.532132\nsphere 216.605932 6.472178 200.690374\nsphere 204.672661 214.890017 206.848616\nsphere 192.739391 423.307856 213.006857\nsphere 413.549270 -296.606156 215.244156\nsphere 401.616000 -88.188317 221.402398\nsphere 389.682730 120.229522 227.560640\nsphere 377.749459 328.647361 233.718881\nsphere 574.692798 25.569028 248.272664\nsphere -444.105395 -347.424527 273.187661\nsphere -456.038666 -139.006688 279.345903\nsphere -467.971936 69.411151 285.504145\nsphere -479.905207 277.828990 291.662386\nsphere -259.095327 -442.085022 293.899685\nsphere -271.028598 -233.667183 300.057927\nsphere -282.961868 -25.249344 306.216169\nsphere -294.895138 183.168495 312.374410\nsphere -74.085259 -536.745516 314.611709\nsphere -306.828409 391.586334 318.532652\nsphere -86.018529 -328.327677 320.769951\nsphere -97.951800 -119.909838 326.928193\nsphere -109.885070 88.508001 333.086434\nsphere -121.818341 296.925840 339.244676\nsphere 98.991539 -422.988172 341.481975\nsphere -133.751611 505.343679 345.402918\nsphere 87.058268 -214.570333 347.640217\nsphere 75.124998 -6.152494 353.798458\nsphere 63.191727 202.265345 359.956700\nsphere 51.258457 410.683184 366.114942\nsphere 272.068336 -309.230828 368.352241\nsphere 260.135066 -100.812989 374.510482\nsphere 248.201796 107.604850 380.668724\nsphere 236.268525 316.022689 386.826966\nsphere 445.145134 -195.473483 395.222506\nsphere 433.211864 12.944356 401.380748\nsphere 421.278593 221.362195 407.538990\nsphere -424.442802 -37.874016 459.324253\nsphere -227.499464 -340.952349 473.878035\nsphere -239.432734 -132.534510 480.036277\nsphere -251.366004 75.883329 486.194518\nsphere -263.299275 284.301168 492.352760\nsphere -54.422666 -227.195005 500.748301\nsphere -66.355936 -18.777166 506.906542\nsphere -78.289207 189.640673 513.064784\nsphere 130.587402 -321.855499 521.460325\nsphere 118.654132 -113.437660 527.618566\nsphere 106.720862 94.980179 533.776808\nsphere 94.787591 303.398018 539.935050\nsphere 291.730930 0.319684 554.488832\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "104.4",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "147.7",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "170.5",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "208.8",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-D111-S2",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the spacing between adjacent close-packed (most densely populated) planes of sphere centres, in nm?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S2.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model polystyrene opal crystallite (touching spheres, FCC), nanometres\nsphere -291.265806 -488.072069 -951.275010\nsphere 347.478078 -451.599248 -950.416416\nsphere 17.597579 -286.190636 -934.278511\nsphere -312.282920 -120.782025 -918.140605\nsphere 326.460964 -84.309204 -917.282011\nsphere -642.163419 44.626587 -902.002700\nsphere -3.419535 81.099408 -901.144106\nsphere 635.324349 117.572228 -900.285511\nsphere -333.300034 246.508020 -885.006200\nsphere 305.443850 282.980840 -884.147606\nsphere -24.436648 448.389452 -868.009701\nsphere -354.317147 613.798064 -851.871795\nsphere 284.426737 650.270884 -851.013201\nsphere 156.720408 -858.080035 -683.455651\nsphere -173.160091 -692.671423 -667.317745\nsphere 465.583793 -656.198603 -666.459151\nsphere -503.040589 -527.262811 -651.179840\nsphere 135.703295 -490.789991 -650.321246\nsphere 774.447179 -454.317171 -649.462651\nsphere -832.921088 -361.854199 -635.041935\nsphere -194.177204 -325.381379 -634.183340\nsphere 444.566680 -288.908559 -633.324746\nsphere -524.057703 -159.972767 -618.045435\nsphere 114.686181 -123.499947 -617.186841\nsphere 753.430065 -87.027127 -616.328246\nsphere -853.938202 5.435845 -601.907529\nsphere -215.194318 41.908665 -601.048935\nsphere 423.549566 78.381485 -600.190341\nsphere -545.074817 207.317277 -584.911030\nsphere 93.669067 243.790097 -584.052436\nsphere 732.412951 280.262918 -583.193841\nsphere -874.955316 372.725889 -568.773124\nsphere -236.211432 409.198709 -567.914530\nsphere 402.532452 445.671529 -567.055936\nsphere -566.091930 574.607321 -551.776625\nsphere 72.651954 611.080141 -550.918031\nsphere 711.395838 647.552962 -550.059436\nsphere -257.228545 776.488753 -534.780125\nsphere 381.515339 812.961574 -533.921531\nsphere 51.634840 978.370186 -517.783626\nsphere -55.054375 -897.270778 -383.360480\nsphere 583.689509 -860.797958 -382.501886\nsphere -384.934874 -731.862166 -367.222575\nsphere 253.809010 -695.389346 -366.363981\nsphere 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-329.880499 165.408612 16.137905\nsphere 308.863385 201.881432 16.996500\nsphere 947.607269 238.354253 17.855094\nsphere -659.760998 330.817224 32.275811\nsphere -21.017114 367.290044 33.134405\nsphere 617.726770 403.762864 33.992999\nsphere -989.641497 496.225836 48.413716\nsphere -350.897612 532.698656 49.272310\nsphere 287.846272 569.171476 50.130905\nsphere 926.590156 605.644297 50.989499\nsphere -680.778111 698.107268 65.410216\nsphere -42.034227 734.580088 66.268810\nsphere 596.709657 771.052909 67.127404\nsphere -371.914726 899.988700 82.406715\nsphere 266.829158 936.461521 83.265310\nsphere -63.051341 1101.870132 99.403215\nsphere -478.603941 -975.652263 216.829861\nsphere 160.139943 -939.179443 217.688455\nsphere -169.740556 -773.770831 233.826360\nsphere 469.003328 -737.298011 234.684955\nsphere -499.621055 -608.362219 249.964266\nsphere 139.122829 -571.889399 250.822860\nsphere 777.866713 -535.416578 251.681454\nsphere -829.501553 -442.953607 266.102171\nsphere -190.757669 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "301.6",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "319.9",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "369.4",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "522.4",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-EDGE-SIO2",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of the sphere lattice, in nm?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "inputs": [
    {
     "name": "opal-SiO2-266.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model silica opal crystallite (touching spheres, FCC), nanometres\nsphere -170.963234 82.041989 -775.141719\nsphere 230.913169 -141.920379 -750.560933\nsphere -70.726366 -362.512736 -707.379882\nsphere 82.537994 71.802875 -695.214950\nsphere -219.101541 -148.789482 -652.033899\nsphere -65.837182 285.526130 -639.868967\nsphere 182.774862 -372.751850 -627.453113\nsphere 336.039221 61.563762 -615.288181\nsphere -367.476716 64.933773 -596.687915\nsphere -214.212357 499.249384 -584.522984\nsphere 34.399686 -159.028595 -572.107129\nsphere 187.664045 275.287017 -559.942198\nsphere 436.276089 -382.990963 -547.526343\nsphere -515.851891 278.657027 -541.341932\nsphere 589.540448 51.324649 -535.361412\nsphere -267.239848 -379.620953 -528.926078\nsphere -113.975489 54.694659 -516.761146\nsphere 39.288870 489.010271 -504.596214\nsphere 134.636554 -603.583320 -504.345292\nsphere 287.900913 -169.267709 -492.180360\nsphere 441.165272 265.047903 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18.600265\nsphere 401.876402 -223.962368 24.580786\nsphere -550.251578 437.685622 30.765197\nsphere -454.903893 -654.907969 31.016120\nsphere 555.140761 210.353244 36.745718\nsphere -301.639534 -220.592357 43.181051\nsphere -148.375175 213.723254 55.345983\nsphere 4.889184 648.038866 67.510915\nsphere 100.236868 -444.554725 67.761837\nsphere 253.501227 -10.239113 79.926769\nsphere -603.279069 -441.184715 86.362103\nsphere 406.765586 424.076498 92.091701\nsphere -450.014710 -6.869103 98.527035\nsphere 655.377629 -234.201481 104.507555\nsphere -296.750351 427.446509 110.691966\nsphere -201.402666 -665.147083 110.942889\nsphere -48.138307 -230.831471 123.107821\nsphere 105.126052 203.484141 135.272752\nsphere -751.654244 -227.461460 141.708086\nsphere 258.390411 637.799753 147.437684\nsphere 353.738095 -454.793839 147.688607\nsphere -598.389885 206.854152 153.873018\nsphere 507.002454 -20.478227 159.853538\nsphere -445.125526 641.169763 166.037950\nsphere -349.777842 -451.423828 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338.307342\nsphere -546.291324 -468.532044 344.742676\nsphere 463.753331 396.729169 350.472274\nsphere -393.026965 -34.216432 356.907608\nsphere -239.762606 400.099179 369.072540\nsphere -144.414922 -692.494412 369.323462\nsphere 8.849437 -258.178800 381.488394\nsphere 162.113796 176.136811 393.653326\nsphere 315.378155 610.452423 405.818257\nsphere 410.725840 -482.141168 406.069180\nsphere -541.402140 179.506822 412.253591\nsphere 563.990199 -47.825556 418.234111\nsphere -292.790097 -478.771158 424.669445\nsphere -139.525738 -44.455546 436.834377\nsphere 13.738621 389.860066 448.999309\nsphere 262.350664 -268.417914 461.415163\nsphere 415.615023 165.897698 473.580095\nsphere -441.165272 -265.047903 480.015428\nsphere -287.900913 169.267709 492.180360\nsphere -134.636554 603.583320 504.345292\nsphere -39.288870 -489.010271 504.596214\nsphere 113.975489 -54.694659 516.761146\nsphere 267.239848 379.620953 528.926078\nsphere -589.540448 -51.324649 535.361412\nsphere 515.851891 -278.657027 541.341932\nsphere -436.276089 382.990963 547.526343\nsphere -187.664045 -275.287017 559.942198\nsphere -34.399686 159.028595 572.107129\nsphere 214.212357 -499.249384 584.522984\nsphere 367.476716 -64.933773 596.687915\nsphere -336.039221 -61.563762 615.288181\nsphere -182.774862 372.751850 627.453113\nsphere 65.837182 -285.526130 639.868967\nsphere 219.101541 148.789482 652.033899\nsphere -82.537994 -71.802875 695.214950\nsphere 70.726366 362.512736 707.379882\nsphere -230.913169 141.920379 750.560933\nsphere 170.963234 -82.041989 775.141719\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "266.0",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "376.2",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "460.7",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "532.0",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-PEAK-S3",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.00; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. Light is incident along the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S3.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model polystyrene opal crystallite (touching spheres, FCC), nanometres\nsphere -31.492035 -79.245422 -1021.938430\nsphere 212.413201 331.343276 -946.954067\nsphere -116.197509 238.804739 -929.651777\nsphere -444.808219 146.266203 -912.349487\nsphere 532.826145 -159.163882 -861.622248\nsphere 204.215435 -251.702419 -844.319958\nsphere -200.902984 556.854901 -837.365124\nsphere -124.395275 -344.240956 -827.017667\nsphere -453.005986 -436.779493 -809.715377\nsphere 448.120671 158.886279 -769.335595\nsphere 119.509960 66.347742 -752.033304\nsphere -209.100750 -26.190795 -734.731014\nsphere -537.711460 -118.729331 -717.428724\nsphere 363.415196 476.936441 -677.048942\nsphere 439.922904 -424.159416 -666.701485\nsphere 34.804486 384.397904 -659.746651\nsphere 111.312194 -516.697953 -649.399195\nsphere -293.806224 291.859367 -642.444361\nsphere -217.298516 -609.236490 -632.096905\nsphere -622.416934 199.320830 -625.142071\nsphere 683.828140 -13.570718 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "407.5",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "705.8",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "802.1",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "815.0",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-PEAK-S7-WATER",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.33; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. Light is incident along the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。 空隙充水（n = 1.33）是模型假设（论文模拟了周围介质折射率的影响），不是实测条件。",
   "inputs": [
    {
     "name": "opal-PS-S7.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model polystyrene opal crystallite (touching spheres, FCC), nanometres\nsphere 116.852492 -29.852346 -663.406249\nsphere -200.341316 -32.382119 -643.014987\nsphere -37.595916 -183.292066 -607.558249\nsphere -40.642426 319.055452 -592.625793\nsphere 125.149484 -334.202013 -572.101512\nsphere 122.102974 168.145505 -557.169055\nsphere -192.044324 -336.731787 -551.710250\nsphere -195.090834 165.615731 -536.777793\nsphere 284.848375 17.235558 -521.712317\nsphere -32.345433 14.705784 -501.321056\nsphere 447.593775 -133.674389 -486.255580\nsphere -349.539241 12.176010 -480.929794\nsphere 130.399967 -136.204163 -465.864318\nsphere 127.353457 366.143355 -450.931862\nsphere -186.793841 -138.733937 -445.473056\nsphere -189.840351 363.613581 -430.540600\nsphere 293.145367 -287.114109 -430.407580\nsphere -503.987649 -141.263710 -425.081794\nsphere 290.098858 215.233408 -415.475124\nsphere -24.048441 -289.643883 -410.016318\nsphere -27.094951 212.703634 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450.931862\nsphere -130.399967 136.204163 465.864318\nsphere 349.539241 -12.176010 480.929794\nsphere -447.593775 133.674389 486.255580\nsphere 32.345433 -14.705784 501.321056\nsphere -284.848375 -17.235558 521.712317\nsphere 195.090834 -165.615731 536.777793\nsphere 192.044324 336.731787 551.710250\nsphere -122.102974 -168.145505 557.169055\nsphere -125.149484 334.202013 572.101512\nsphere 40.642426 -319.055452 592.625793\nsphere 37.595916 183.292066 607.558249\nsphere 200.341316 32.382119 643.014987\nsphere -116.852492 29.852346 663.406249\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "560.4",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "583.6",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "686.3",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "970.6",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-PEAK-SIO2-30",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface, and use an effective refractive index of 1.35 for the film. Light is incident from air at 30° from the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "inputs": [
    {
     "name": "opal-SiO2-266.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model silica opal crystallite (touching spheres, FCC), nanometres\nsphere -170.963234 82.041989 -775.141719\nsphere 230.913169 -141.920379 -750.560933\nsphere -70.726366 -362.512736 -707.379882\nsphere 82.537994 71.802875 -695.214950\nsphere -219.101541 -148.789482 -652.033899\nsphere -65.837182 285.526130 -639.868967\nsphere 182.774862 -372.751850 -627.453113\nsphere 336.039221 61.563762 -615.288181\nsphere -367.476716 64.933773 -596.687915\nsphere -214.212357 499.249384 -584.522984\nsphere 34.399686 -159.028595 -572.107129\nsphere 187.664045 275.287017 -559.942198\nsphere 436.276089 -382.990963 -547.526343\nsphere -515.851891 278.657027 -541.341932\nsphere 589.540448 51.324649 -535.361412\nsphere -267.239848 -379.620953 -528.926078\nsphere -113.975489 54.694659 -516.761146\nsphere 39.288870 489.010271 -504.596214\nsphere 134.636554 -603.583320 -504.345292\nsphere 287.900913 -169.267709 -492.180360\nsphere 441.165272 265.047903 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18.600265\nsphere 401.876402 -223.962368 24.580786\nsphere -550.251578 437.685622 30.765197\nsphere -454.903893 -654.907969 31.016120\nsphere 555.140761 210.353244 36.745718\nsphere -301.639534 -220.592357 43.181051\nsphere -148.375175 213.723254 55.345983\nsphere 4.889184 648.038866 67.510915\nsphere 100.236868 -444.554725 67.761837\nsphere 253.501227 -10.239113 79.926769\nsphere -603.279069 -441.184715 86.362103\nsphere 406.765586 424.076498 92.091701\nsphere -450.014710 -6.869103 98.527035\nsphere 655.377629 -234.201481 104.507555\nsphere -296.750351 427.446509 110.691966\nsphere -201.402666 -665.147083 110.942889\nsphere -48.138307 -230.831471 123.107821\nsphere 105.126052 203.484141 135.272752\nsphere -751.654244 -227.461460 141.708086\nsphere 258.390411 637.799753 147.437684\nsphere 353.738095 -454.793839 147.688607\nsphere -598.389885 206.854152 153.873018\nsphere 507.002454 -20.478227 159.853538\nsphere -445.125526 641.169763 166.037950\nsphere -349.777842 -451.423828 166.288872\nsphere 660.266813 413.837385 172.018470\nsphere -196.513483 -17.108216 178.453804\nsphere -43.249123 417.207396 190.618736\nsphere 52.098561 -675.386196 190.869658\nsphere 205.362920 -241.070584 203.034590\nsphere 358.627279 193.245028 215.199522\nsphere -498.153017 -237.700574 221.634855\nsphere 607.239322 -465.032952 227.615376\nsphere -344.888658 196.615038 233.799787\nsphere 760.503681 -30.717340 239.780308\nsphere -191.624299 630.930650 245.964719\nsphere -96.276615 -461.662941 246.215641\nsphere 56.987745 -27.347330 258.380573\nsphere 210.252104 406.968282 270.545505\nsphere 305.599788 -685.625309 270.796427\nsphere -646.528192 -23.977319 276.980838\nsphere 458.864147 -251.309697 282.961359\nsphere -493.263833 410.338293 289.145770\nsphere 612.128506 183.005914 295.126291\nsphere -244.651790 -247.939687 301.561624\nsphere -91.387431 186.375925 313.726556\nsphere 61.876928 620.691537 325.891488\nsphere 157.224612 -471.902055 326.142410\nsphere 310.488972 -37.586443 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541.341932\nsphere -436.276089 382.990963 547.526343\nsphere -187.664045 -275.287017 559.942198\nsphere -34.399686 159.028595 572.107129\nsphere 214.212357 -499.249384 584.522984\nsphere 367.476716 -64.933773 596.687915\nsphere -336.039221 -61.563762 615.288181\nsphere -182.774862 372.751850 627.453113\nsphere 65.837182 -285.526130 639.868967\nsphere 219.101541 148.789482 652.033899\nsphere -82.537994 -71.802875 695.214950\nsphere 70.726366 362.512736 707.379882\nsphere -230.913169 141.920379 750.560933\nsphere 170.963234 -82.041989 775.141719\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "507.8",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "544.7",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "586.4",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "667.1",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-ANGLE-SIO2",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface, and use an effective refractive index of 1.35 for the film. At what angle of incidence from the film normal, in degrees (light incident from air), does the first-order Bragg reflection from the close-packed planes occur at a vacuum wavelength of 500 nm?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "inputs": [
    {
     "name": "opal-SiO2-266.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model silica opal crystallite (touching spheres, FCC), nanometres\nsphere -170.963234 82.041989 -775.141719\nsphere 230.913169 -141.920379 -750.560933\nsphere -70.726366 -362.512736 -707.379882\nsphere 82.537994 71.802875 -695.214950\nsphere -219.101541 -148.789482 -652.033899\nsphere -65.837182 285.526130 -639.868967\nsphere 182.774862 -372.751850 -627.453113\nsphere 336.039221 61.563762 -615.288181\nsphere -367.476716 64.933773 -596.687915\nsphere -214.212357 499.249384 -584.522984\nsphere 34.399686 -159.028595 -572.107129\nsphere 187.664045 275.287017 -559.942198\nsphere 436.276089 -382.990963 -547.526343\nsphere -515.851891 278.657027 -541.341932\nsphere 589.540448 51.324649 -535.361412\nsphere -267.239848 -379.620953 -528.926078\nsphere -113.975489 54.694659 -516.761146\nsphere 39.288870 489.010271 -504.596214\nsphere 134.636554 -603.583320 -504.345292\nsphere 287.900913 -169.267709 -492.180360\nsphere 441.165272 265.047903 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18.600265\nsphere 401.876402 -223.962368 24.580786\nsphere -550.251578 437.685622 30.765197\nsphere -454.903893 -654.907969 31.016120\nsphere 555.140761 210.353244 36.745718\nsphere -301.639534 -220.592357 43.181051\nsphere -148.375175 213.723254 55.345983\nsphere 4.889184 648.038866 67.510915\nsphere 100.236868 -444.554725 67.761837\nsphere 253.501227 -10.239113 79.926769\nsphere -603.279069 -441.184715 86.362103\nsphere 406.765586 424.076498 92.091701\nsphere -450.014710 -6.869103 98.527035\nsphere 655.377629 -234.201481 104.507555\nsphere -296.750351 427.446509 110.691966\nsphere -201.402666 -665.147083 110.942889\nsphere -48.138307 -230.831471 123.107821\nsphere 105.126052 203.484141 135.272752\nsphere -751.654244 -227.461460 141.708086\nsphere 258.390411 637.799753 147.437684\nsphere 353.738095 -454.793839 147.688607\nsphere -598.389885 206.854152 153.873018\nsphere 507.002454 -20.478227 159.853538\nsphere -445.125526 641.169763 166.037950\nsphere -349.777842 -451.423828 166.288872\nsphere 660.266813 413.837385 172.018470\nsphere -196.513483 -17.108216 178.453804\nsphere -43.249123 417.207396 190.618736\nsphere 52.098561 -675.386196 190.869658\nsphere 205.362920 -241.070584 203.034590\nsphere 358.627279 193.245028 215.199522\nsphere -498.153017 -237.700574 221.634855\nsphere 607.239322 -465.032952 227.615376\nsphere -344.888658 196.615038 233.799787\nsphere 760.503681 -30.717340 239.780308\nsphere -191.624299 630.930650 245.964719\nsphere -96.276615 -461.662941 246.215641\nsphere 56.987745 -27.347330 258.380573\nsphere 210.252104 406.968282 270.545505\nsphere 305.599788 -685.625309 270.796427\nsphere -646.528192 -23.977319 276.980838\nsphere 458.864147 -251.309697 282.961359\nsphere -493.263833 410.338293 289.145770\nsphere 612.128506 183.005914 295.126291\nsphere -244.651790 -247.939687 301.561624\nsphere -91.387431 186.375925 313.726556\nsphere 61.876928 620.691537 325.891488\nsphere 157.224612 -471.902055 326.142410\nsphere 310.488972 -37.586443 338.307342\nsphere -546.291324 -468.532044 344.742676\nsphere 463.753331 396.729169 350.472274\nsphere -393.026965 -34.216432 356.907608\nsphere -239.762606 400.099179 369.072540\nsphere -144.414922 -692.494412 369.323462\nsphere 8.849437 -258.178800 381.488394\nsphere 162.113796 176.136811 393.653326\nsphere 315.378155 610.452423 405.818257\nsphere 410.725840 -482.141168 406.069180\nsphere -541.402140 179.506822 412.253591\nsphere 563.990199 -47.825556 418.234111\nsphere -292.790097 -478.771158 424.669445\nsphere -139.525738 -44.455546 436.834377\nsphere 13.738621 389.860066 448.999309\nsphere 262.350664 -268.417914 461.415163\nsphere 415.615023 165.897698 473.580095\nsphere -441.165272 -265.047903 480.015428\nsphere -287.900913 169.267709 492.180360\nsphere -134.636554 603.583320 504.345292\nsphere -39.288870 -489.010271 504.596214\nsphere 113.975489 -54.694659 516.761146\nsphere 267.239848 379.620953 528.926078\nsphere -589.540448 -51.324649 535.361412\nsphere 515.851891 -278.657027 541.341932\nsphere -436.276089 382.990963 547.526343\nsphere -187.664045 -275.287017 559.942198\nsphere -34.399686 159.028595 572.107129\nsphere 214.212357 -499.249384 584.522984\nsphere 367.476716 -64.933773 596.687915\nsphere -336.039221 -61.563762 615.288181\nsphere -182.774862 372.751850 627.453113\nsphere 65.837182 -285.526130 639.868967\nsphere 219.101541 148.789482 652.033899\nsphere -82.537994 -71.802875 695.214950\nsphere 70.726366 362.512736 707.379882\nsphere -230.913169 141.920379 750.560933\nsphere 170.963234 -82.041989 775.141719\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "29.8",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "31.5",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "44.9",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "75.7",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-DES-540",
   "family": "opal_design",
   "ability": "design",
   "question": "The four files list the sphere centres (nm) of model opal crystallites made from four different polystyrene sphere batches (files named by sample; each built from that sample's published sphere diameter; neighbouring spheres touch). Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.00; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. You must choose one sample for a new film such that its first-order normal-incidence Bragg reflection from the close-packed planes is closest to 540 nm. Which sample should you choose?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S5.xyz",
     "format": "sphere-centres",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "S8 (opal-PS-S8.xyz)"
    },
    {
     "label": "B",
     "value": "S5 (opal-PS-S5.xyz)"
    },
    {
     "label": "C",
     "value": "S6 (opal-PS-S6.xyz)"
    },
    {
     "label": "D",
     "value": "S7 (opal-PS-S7.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-DES-820",
   "family": "opal_design",
   "ability": "design",
   "question": "The four files list the sphere centres (nm) of model opal crystallites made from four different polystyrene sphere batches (files named by sample; each built from that sample's published sphere diameter; neighbouring spheres touch). Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.00; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. You must choose one sample for a new film such that its first-order normal-incidence Bragg reflection from the close-packed planes is closest to 820 nm. Which sample should you choose?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S2.xyz",
     "format": "sphere-centres",
     "unit": "nm",
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     "format": "sphere-centres",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "S3 (opal-PS-S3.xyz)"
    },
    {
     "label": "B",
     "value": "S4 (opal-PS-S4.xyz)"
    },
    {
     "label": "C",
     "value": "S2 (opal-PS-S2.xyz)"
    },
    {
     "label": "D",
     "value": "S5 (opal-PS-S5.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-OP-DES-BELOW700",
   "family": "opal_design",
   "ability": "design",
   "question": "The four files list the sphere centres (nm) of model opal crystallites made from four different polystyrene sphere batches (files named by sample; each built from that sample's published sphere diameter; neighbouring spheres touch). Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.00; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. You must choose one sample for a new film such that the spheres are as large as possible while its first-order normal-incidence Bragg reflection from the close-packed planes stays below 700 nm. Which sample should you choose?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "inputs": [
    {
     "name": "opal-PS-S4.xyz",
     "format": "sphere-centres",
     "unit": "nm",
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    },
    {
     "name": "opal-PS-S7.xyz",
     "format": "sphere-centres",
     "unit": "nm",
     "text": "177\nSphere centres of a model polystyrene opal crystallite (touching spheres, FCC), nanometres\nsphere 116.852492 -29.852346 -663.406249\nsphere -200.341316 -32.382119 -643.014987\nsphere -37.595916 -183.292066 -607.558249\nsphere -40.642426 319.055452 -592.625793\nsphere 125.149484 -334.202013 -572.101512\nsphere 122.102974 168.145505 -557.169055\nsphere -192.044324 -336.731787 -551.710250\nsphere -195.090834 165.615731 -536.777793\nsphere 284.848375 17.235558 -521.712317\nsphere -32.345433 14.705784 -501.321056\nsphere 447.593775 -133.674389 -486.255580\nsphere -349.539241 12.176010 -480.929794\nsphere 130.399967 -136.204163 -465.864318\nsphere 127.353457 366.143355 -450.931862\nsphere -186.793841 -138.733937 -445.473056\nsphere -189.840351 363.613581 -430.540600\nsphere 293.145367 -287.114109 -430.407580\nsphere -503.987649 -141.263710 -425.081794\nsphere 290.098858 215.233408 -415.475124\nsphere -24.048441 -289.643883 -410.016318\nsphere -27.094951 212.703634 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450.931862\nsphere -130.399967 136.204163 465.864318\nsphere 349.539241 -12.176010 480.929794\nsphere -447.593775 133.674389 486.255580\nsphere 32.345433 -14.705784 501.321056\nsphere -284.848375 -17.235558 521.712317\nsphere 195.090834 -165.615731 536.777793\nsphere 192.044324 336.731787 551.710250\nsphere -122.102974 -168.145505 557.169055\nsphere -125.149484 334.202013 572.101512\nsphere 40.642426 -319.055452 592.625793\nsphere 37.595916 183.292066 607.558249\nsphere 200.341316 32.382119 643.014987\nsphere -116.852492 29.852346 663.406249\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "S4 (opal-PS-S4.xyz)"
    },
    {
     "label": "B",
     "value": "S5 (opal-PS-S5.xyz)"
    },
    {
     "label": "C",
     "value": "S6 (opal-PS-S6.xyz)"
    },
    {
     "label": "D",
     "value": "S7 (opal-PS-S7.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-PERIOD-K079",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the moiré period (the moiré lattice constant), in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-K079-AA-map.txt",
     "text": "19\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K079), nanometres\nAA 11.509010 -33.776251\nAA -5.993788 -30.315736\nAA -23.496586 -26.855221\nAA 23.257304 -20.348641\nAA 5.754505 -16.888126\nAA -11.748293 -13.427610\nAA -29.251092 -9.967095\nAA 35.005597 -6.921030\nAA 17.502798 -3.460515\nAA 0.000000 0.000000\nAA -17.502798 3.460515\nAA -35.005597 6.921030\nAA 29.251092 9.967095\nAA 11.748293 13.427610\nAA -5.754505 16.888126\nAA -23.257304 20.348641\nAA 23.496586 26.855221\nAA 5.993788 30.315736\nAA -11.509010 33.776251\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "15.45",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "17.84",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "30.90",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "35.68",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-AREA-M2",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the area of one moiré unit cell, in nm²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-M2-AA-map.txt",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M2), nanometres\nAA 10.250049 -38.945026\nAA -2.700753 -35.413122\nAA -15.651555 -31.881219\nAA 19.784168 -29.495254\nAA -28.602357 -28.349316\nAA 6.833366 -25.963350\nAA -6.117436 -22.431447\nAA 29.318287 -20.045482\nAA -19.068238 -18.899544\nAA 16.367485 -16.513578\nAA -32.019040 -15.367641\nAA 3.416683 -12.981675\nAA 38.852406 -10.595710\nAA -9.534119 -9.449772\nAA 25.901604 -7.063807\nAA -22.484921 -5.917869\nAA 12.950802 -3.531903\nAA -35.435723 -2.385965\nAA -0.000000 0.000000\nAA 35.435723 2.385965\nAA -12.950802 3.531903\nAA 22.484921 5.917869\nAA -25.901604 7.063807\nAA 9.534119 9.449772\nAA -38.852406 10.595710\nAA -3.416683 12.981675\nAA 32.019040 15.367641\nAA -16.367485 16.513578\nAA 19.068238 18.899544\nAA -29.318287 20.045482\nAA 6.117436 22.431447\nAA -6.833366 25.963350\nAA 28.602357 28.349316\nAA -19.784168 29.495254\nAA 15.651555 31.881219\nAA 2.700753 35.413122\nAA -10.250049 38.945026\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "52.0",
     "unit": "nm^2"
    },
    {
     "label": "B",
     "value": "156.1",
     "unit": "nm^2"
    },
    {
     "label": "C",
     "value": "180.2",
     "unit": "nm^2"
    },
    {
     "label": "D",
     "value": "312.1",
     "unit": "nm^2"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-PERIOD-D1",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the moiré period (the moiré lattice constant), in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-D1-AA-map.txt",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample D1), nanometres\nAA 13.799125 -36.640384\nAA 0.922103 -34.517117\nAA -11.954919 -32.393851\nAA -24.831941 -30.270585\nAA 22.076439 -26.550189\nAA 9.199417 -24.426923\nAA -3.677605 -22.303656\nAA -16.554627 -20.180390\nAA -29.431649 -18.057123\nAA 30.353752 -16.459994\nAA 17.476730 -14.336728\nAA 4.599708 -12.213461\nAA -8.277314 -10.090195\nAA -21.154335 -7.966929\nAA 38.631066 -6.369799\nAA -34.031357 -5.843662\nAA 25.754044 -4.246533\nAA 12.877022 -2.123266\nAA -0.000000 0.000000\nAA -12.877022 2.123266\nAA -25.754044 4.246533\nAA 34.031357 5.843662\nAA -38.631066 6.369799\nAA 21.154335 7.966929\nAA 8.277314 10.090195\nAA -4.599708 12.213461\nAA -17.476730 14.336728\nAA -30.353752 16.459994\nAA 29.431649 18.057123\nAA 16.554627 20.180390\nAA 3.677605 22.303656\nAA -9.199417 24.426923\nAA -22.076439 26.550189\nAA 24.831941 30.270585\nAA 11.954919 32.393851\nAA -0.922103 34.517117\nAA -13.799125 36.640384\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "7.53",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "11.30",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "13.05",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "22.60",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-ATOMS-K110",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The XYZ file lists all carbon atoms of both layers of a model twisted bilayer graphene near an AA-stacked site (angstrom; rigid twist, layer spacing 3.35 Å; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. Assuming the two layers are unstrained and rigidly twisted, what is the moiré period (the moiré lattice constant) of this bilayer, in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-K110-atoms.xyz",
     "text": "962\nCarbon atoms of both layers of a model rigid twisted bilayer graphene near an AA site (sample K110), angstrom\nC -0.304561 -19.881611 0.000000\nC -3.109445 -19.432801 0.000000\nC 3.395883 -19.228073 0.000000\nC -4.511886 -19.208396 0.000000\nC 1.993441 -19.003668 0.000000\nC -0.811442 -18.554858 0.000000\nC 5.693886 -18.350130 0.000000\nC -2.213884 -18.330453 0.000000\nC 4.291444 -18.125725 0.000000\nC -5.018767 -17.881644 0.000000\nC 1.486561 -17.676915 0.000000\nC -6.421208 -17.657239 0.000000\nC 7.991888 -17.472187 0.000000\nC 0.084119 -17.452511 0.000000\nC 6.589447 -17.247782 0.000000\nC -9.226092 -17.208429 0.000000\nC -2.720764 -17.003701 0.000000\nC 3.784563 -16.798973 0.000000\nC -4.123206 -16.779296 0.000000\nC 10.289891 -16.594244 0.000000\nC 2.382122 -16.574568 0.000000\nC 8.887449 -16.369839 0.000000\nC -6.928089 -16.330486 0.000000\nC -0.422761 -16.125758 0.000000\nC -8.330530 -16.106082 0.000000\nC 6.082566 -15.921030 0.000000\nC -1.825203 -15.901353 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3.350000\nC -15.661684 5.924733 3.350000\nC 1.558187 5.991565 3.350000\nC -7.754994 6.056869 3.350000\nC 18.778057 6.058397 3.350000\nC 9.464876 6.123701 3.350000\nC -9.161485 6.254310 3.350000\nC -18.474666 6.319614 3.350000\nC 8.058385 6.321141 3.350000\nC -1.254796 6.386446 3.350000\nC 15.965075 6.453277 3.350000\nC -2.661287 6.583886 3.350000\nC -11.974468 6.649190 3.350000\nC 14.558584 6.650718 3.350000\nC 5.245403 6.716022 3.350000\nC -13.380959 6.846630 3.350000\nC 3.838912 6.913462 3.350000\nC -5.474269 6.978766 3.350000\nC 11.745601 7.045598 3.350000\nC -6.880760 7.176206 3.350000\nC -16.193941 7.241511 3.350000\nC 10.339110 7.243038 3.350000\nC 1.025929 7.308342 3.350000\nC 18.245800 7.375174 3.350000\nC -17.600432 7.438951 3.350000\nC -0.380562 7.505783 3.350000\nC -9.693743 7.571087 3.350000\nC 16.839308 7.572614 3.350000\nC 7.526128 7.637919 3.350000\nC -11.100234 7.768527 3.350000\nC 6.119637 7.835359 3.350000\nC -3.193544 7.900663 3.350000\nC 14.026326 7.967495 3.350000\nC -4.600035 8.098103 3.350000\nC -13.913216 8.163407 3.350000\nC 12.619835 8.164935 3.350000\nC 3.306654 8.230239 3.350000\nC -15.319707 8.360848 3.350000\nC 1.900163 8.427679 3.350000\nC -7.413018 8.492984 3.350000\nC 9.806853 8.559815 3.350000\nC -8.819509 8.690424 3.350000\nC 8.400362 8.757256 3.350000\nC -0.912819 8.822560 3.350000\nC 16.307051 8.889392 3.350000\nC -2.319310 9.020000 3.350000\nC -11.632491 9.085304 3.350000\nC 14.900560 9.086832 3.350000\nC 5.587379 9.152136 3.350000\nC -13.038982 9.282744 3.350000\nC 4.180888 9.349576 3.350000\nC -5.132293 9.414880 3.350000\nC 12.087578 9.481712 3.350000\nC -6.538784 9.612321 3.350000\nC -15.851965 9.677625 3.350000\nC 10.681086 9.679152 3.350000\nC 1.367906 9.744457 3.350000\nC -17.258456 9.875065 3.350000\nC -0.038585 9.941897 3.350000\nC -9.351766 10.007201 3.350000\nC 17.181285 10.008729 3.350000\nC 7.868104 10.074033 3.350000\nC -10.758257 10.204641 3.350000\nC 6.461613 10.271473 3.350000\nC -2.851568 10.336777 3.350000\nC 14.368303 10.403609 3.350000\nC -4.258059 10.534217 3.350000\nC -13.571240 10.599521 3.350000\nC 12.961811 10.601049 3.350000\nC 3.648631 10.666353 3.350000\nC -14.977731 10.796962 3.350000\nC 2.242140 10.863794 3.350000\nC -7.071041 10.929098 3.350000\nC 10.148829 10.995930 3.350000\nC -8.477532 11.126538 3.350000\nC 8.742338 11.193370 3.350000\nC -0.570843 11.258674 3.350000\nC -1.977334 11.456114 3.350000\nC -11.290515 11.521418 3.350000\nC 15.242536 11.522946 3.350000\nC 5.929356 11.588250 3.350000\nC -12.697006 11.718858 3.350000\nC 4.522865 11.785690 3.350000\nC -4.790316 11.850994 3.350000\nC 12.429554 11.917826 3.350000\nC -6.196807 12.048435 3.350000\nC -15.509988 12.113739 3.350000\nC 11.023063 12.115267 3.350000\nC 1.709882 12.180571 3.350000\nC 0.303391 12.378011 3.350000\nC -9.009790 12.443315 3.350000\nC 8.210081 12.510147 3.350000\nC -10.416281 12.640755 3.350000\nC 6.803589 12.707587 3.350000\nC -2.509591 12.772891 3.350000\nC 14.710279 12.839723 3.350000\nC -3.916082 12.970331 3.350000\nC -13.229263 13.035636 3.350000\nC 13.303788 13.037163 3.350000\nC 3.990607 13.102467 3.350000\nC -14.635754 13.233076 3.350000\nC 2.584116 13.299908 3.350000\nC -6.729065 13.365212 3.350000\nC 10.490806 13.432044 3.350000\nC -8.135556 13.562652 3.350000\nC 9.084314 13.629484 3.350000\nC -0.228866 13.694788 3.350000\nC -1.635357 13.892228 3.350000\nC -10.948538 13.957532 3.350000\nC 6.271332 14.024364 3.350000\nC -12.355029 14.154973 3.350000\nC 4.864841 14.221804 3.350000\nC -4.448340 14.287109 3.350000\nC 12.771531 14.353940 3.350000\nC -5.854831 14.484549 3.350000\nC 11.365039 14.551381 3.350000\nC 2.051859 14.616685 3.350000\nC 0.645367 14.814125 3.350000\nC -8.667813 14.879429 3.350000\nC 8.552057 14.946261 3.350000\nC -10.074304 15.076869 3.350000\nC 7.145566 15.143701 3.350000\nC -2.167615 15.209005 3.350000\nC -3.574106 15.406446 3.350000\nC 4.332584 15.538582 3.350000\nC 2.926092 15.736022 3.350000\nC -6.387088 15.801326 3.350000\nC 10.832782 15.868158 3.350000\nC -7.793579 15.998766 3.350000\nC 9.426291 16.065598 3.350000\nC 0.113110 16.130902 3.350000\nC -1.293381 16.328342 3.350000\nC -10.606562 16.393647 3.350000\nC 6.613309 16.460478 3.350000\nC 5.206817 16.657919 3.350000\nC -4.106363 16.723223 3.350000\nC -5.512854 16.920663 3.350000\nC 2.393835 17.052799 3.350000\nC 0.987344 17.250239 3.350000\nC -8.325837 17.315543 3.350000\nC 8.894034 17.382375 3.350000\nC 7.487542 17.579815 3.350000\nC -1.825638 17.645120 3.350000\nC -3.232130 17.842560 3.350000\nC 4.674560 17.974696 3.350000\nC 3.268069 18.172136 3.350000\nC -6.045112 18.237440 3.350000\nC -7.451603 18.434880 3.350000\nC 0.455087 18.567016 3.350000\nC -0.951405 18.764457 3.350000\nC 5.548794 19.094033 3.350000\nC -3.764387 19.159337 3.350000\nC 2.735812 19.488913 3.350000\nC 1.329320 19.686353 3.350000\n",
     "format": "xyz",
     "unit": "angstrom"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12.81",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "17.45",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "22.19",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "25.63",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-NFULL-M1",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the superlattice density n_s, the carrier density that completely fills one set of spin- and valley-degenerate moiré bands, in units of 10¹² cm⁻²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-M1-AA-map.txt",
     "text": "55\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M1), nanometres\nAA 6.481066 -43.328528\nAA -14.471768 -41.351342\nAA 17.528247 -38.268558\nAA -3.424587 -36.291372\nAA -24.377420 -34.314187\nAA 28.575428 -33.208589\nAA 7.622595 -31.231403\nAA -13.330239 -29.254217\nAA -34.283073 -27.277031\nAA 18.669776 -26.171434\nAA -2.283058 -24.194248\nAA -23.235891 -22.217062\nAA 29.716957 -21.111465\nAA 8.764124 -19.134279\nAA -12.188710 -17.157093\nAA 40.764139 -16.051496\nAA -33.141544 -15.179907\nAA 19.811305 -14.074310\nAA -1.141529 -12.097124\nAA -22.094363 -10.119938\nAA 30.858486 -9.014341\nAA -43.047196 -8.142752\nAA 9.905652 -7.037155\nAA -11.047181 -5.059969\nAA 41.905667 -3.954372\nAA -32.000015 -3.082783\nAA 20.952834 -1.977186\nAA 0.000000 0.000000\nAA -20.952834 1.977186\nAA 32.000015 3.082783\nAA -41.905667 3.954372\nAA 11.047181 5.059969\nAA -9.905652 7.037155\nAA 43.047196 8.142752\nAA -30.858486 9.014341\nAA 22.094363 10.119938\nAA 1.141529 12.097124\nAA -19.811305 14.074310\nAA 33.141544 15.179907\nAA -40.764139 16.051496\nAA 12.188710 17.157093\nAA -8.764124 19.134279\nAA -29.716957 21.111465\nAA 23.235891 22.217062\nAA 2.283058 24.194248\nAA -18.669776 26.171434\nAA 34.283073 27.277031\nAA 13.330239 29.254217\nAA -7.622595 31.231403\nAA -28.575428 33.208589\nAA 24.377420 34.314187\nAA 3.424587 36.291372\nAA -17.528247 38.268558\nAA 14.471768 41.351342\nAA -6.481066 43.328528\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.782",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "B",
     "value": "3.128",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "C",
     "value": "6.257",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "D",
     "value": "9.385",
     "unit": "10^12 cm^-2"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-NHALF-K079",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What carrier density corresponds to half filling of one set of spin- and valley-degenerate moiré bands (where correlated insulators appear), in units of 10¹² cm⁻²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-K079-AA-map.txt",
     "text": "19\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K079), nanometres\nAA 11.509010 -33.776251\nAA -5.993788 -30.315736\nAA -23.496586 -26.855221\nAA 23.257304 -20.348641\nAA 5.754505 -16.888126\nAA -11.748293 -13.427610\nAA -29.251092 -9.967095\nAA 35.005597 -6.921030\nAA 17.502798 -3.460515\nAA 0.000000 0.000000\nAA -17.502798 3.460515\nAA -35.005597 6.921030\nAA 29.251092 9.967095\nAA 11.748293 13.427610\nAA -5.754505 16.888126\nAA -23.257304 20.348641\nAA 23.496586 26.855221\nAA 5.993788 30.315736\nAA -11.509010 33.776251\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.363",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "B",
     "value": "0.628",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "C",
     "value": "0.725",
     "unit": "10^12 cm^-2"
    },
    {
     "label": "D",
     "value": "1.451",
     "unit": "10^12 cm^-2"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-TWIST-D1",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. The graphene lattice constant is 0.246 nm. What twist angle between the two layers produces this moiré pattern, in degrees?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-D1-AA-map.txt",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample D1), nanometres\nAA 13.799125 -36.640384\nAA 0.922103 -34.517117\nAA -11.954919 -32.393851\nAA -24.831941 -30.270585\nAA 22.076439 -26.550189\nAA 9.199417 -24.426923\nAA -3.677605 -22.303656\nAA -16.554627 -20.180390\nAA -29.431649 -18.057123\nAA 30.353752 -16.459994\nAA 17.476730 -14.336728\nAA 4.599708 -12.213461\nAA -8.277314 -10.090195\nAA -21.154335 -7.966929\nAA 38.631066 -6.369799\nAA -34.031357 -5.843662\nAA 25.754044 -4.246533\nAA 12.877022 -2.123266\nAA -0.000000 0.000000\nAA -12.877022 2.123266\nAA -25.754044 4.246533\nAA 34.031357 5.843662\nAA -38.631066 6.369799\nAA 21.154335 7.966929\nAA 8.277314 10.090195\nAA -4.599708 12.213461\nAA -17.476730 14.336728\nAA -30.353752 16.459994\nAA 29.431649 18.057123\nAA 16.554627 20.180390\nAA 3.677605 22.303656\nAA -9.199417 24.426923\nAA -22.076439 26.550189\nAA 24.831941 30.270585\nAA 11.954919 32.393851\nAA -0.922103 34.517117\nAA -13.799125 36.640384\n",
     "format": "aa-site-map",
     "unit": "nm"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.019",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "0.540",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "0.624",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "1.080",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-DES-HALF",
   "family": "moire_design",
   "ability": "design",
   "question": "The four files list the centres of the AA-stacked regions (nm) of model twisted bilayer graphene samples (files named by sample; each built from that sample's published twist angle; rigid twist without relaxation or strain). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport) or Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. You must choose one sample such that half filling of one set of spin- and valley-degenerate moiré bands occurs at a carrier density closest to 1.3 × 10¹² cm⁻². Which sample should you choose?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-M2-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M2), nanometres\nAA 10.250049 -38.945026\nAA -2.700753 -35.413122\nAA -15.651555 -31.881219\nAA 19.784168 -29.495254\nAA -28.602357 -28.349316\nAA 6.833366 -25.963350\nAA -6.117436 -22.431447\nAA 29.318287 -20.045482\nAA -19.068238 -18.899544\nAA 16.367485 -16.513578\nAA -32.019040 -15.367641\nAA 3.416683 -12.981675\nAA 38.852406 -10.595710\nAA -9.534119 -9.449772\nAA 25.901604 -7.063807\nAA -22.484921 -5.917869\nAA 12.950802 -3.531903\nAA -35.435723 -2.385965\nAA -0.000000 0.000000\nAA 35.435723 2.385965\nAA -12.950802 3.531903\nAA 22.484921 5.917869\nAA -25.901604 7.063807\nAA 9.534119 9.449772\nAA -38.852406 10.595710\nAA -3.416683 12.981675\nAA 32.019040 15.367641\nAA -16.367485 16.513578\nAA 19.068238 18.899544\nAA -29.318287 20.045482\nAA 6.117436 22.431447\nAA -6.833366 25.963350\nAA 28.602357 28.349316\nAA -19.784168 29.495254\nAA 15.651555 31.881219\nAA 2.700753 35.413122\nAA -10.250049 38.945026\n"
    },
    {
     "name": "TBG-D1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample D1), nanometres\nAA 13.799125 -36.640384\nAA 0.922103 -34.517117\nAA -11.954919 -32.393851\nAA -24.831941 -30.270585\nAA 22.076439 -26.550189\nAA 9.199417 -24.426923\nAA -3.677605 -22.303656\nAA -16.554627 -20.180390\nAA -29.431649 -18.057123\nAA 30.353752 -16.459994\nAA 17.476730 -14.336728\nAA 4.599708 -12.213461\nAA -8.277314 -10.090195\nAA -21.154335 -7.966929\nAA 38.631066 -6.369799\nAA -34.031357 -5.843662\nAA 25.754044 -4.246533\nAA 12.877022 -2.123266\nAA -0.000000 0.000000\nAA -12.877022 2.123266\nAA -25.754044 4.246533\nAA 34.031357 5.843662\nAA -38.631066 6.369799\nAA 21.154335 7.966929\nAA 8.277314 10.090195\nAA -4.599708 12.213461\nAA -17.476730 14.336728\nAA -30.353752 16.459994\nAA 29.431649 18.057123\nAA 16.554627 20.180390\nAA 3.677605 22.303656\nAA -9.199417 24.426923\nAA -22.076439 26.550189\nAA 24.831941 30.270585\nAA 11.954919 32.393851\nAA -0.922103 34.517117\nAA -13.799125 36.640384\n"
    },
    {
     "name": "TBG-K110-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "43\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K110), nanometres\nAA 21.338895 -38.921932\nAA -0.849520 -38.431462\nAA -23.037935 -37.940991\nAA 10.386274 -32.271453\nAA -11.802141 -31.780983\nAA 21.622068 -26.111445\nAA -0.566347 -25.620974\nAA -22.754761 -25.130504\nAA 32.857862 -19.951437\nAA 10.669447 -19.460966\nAA -11.518967 -18.970495\nAA -33.707382 -18.480025\nAA 21.905241 -13.300958\nAA -0.283173 -12.810487\nAA -22.471588 -12.320017\nAA 33.141035 -7.140950\nAA 10.952621 -6.650479\nAA -11.235794 -6.160008\nAA -33.424209 -5.669538\nAA 44.376829 -0.980941\nAA 22.188415 -0.490471\nAA 0.000000 -0.000000\nAA -22.188415 0.490471\nAA -44.376829 0.980941\nAA 33.424209 5.669538\nAA 11.235794 6.160008\nAA -10.952621 6.650479\nAA -33.141035 7.140950\nAA 22.471588 12.320017\nAA 0.283173 12.810487\nAA -21.905241 13.300958\nAA 33.707382 18.480025\nAA 11.518967 18.970495\nAA -10.669447 19.460966\nAA -32.857862 19.951437\nAA 22.754761 25.130504\nAA 0.566347 25.620974\nAA -21.622068 26.111445\nAA 11.802141 31.780983\nAA -10.386274 32.271453\nAA 23.037935 37.940991\nAA 0.849520 38.431462\nAA -21.338895 38.921932\n"
    },
    {
     "name": "TBG-M1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "55\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M1), nanometres\nAA 6.481066 -43.328528\nAA -14.471768 -41.351342\nAA 17.528247 -38.268558\nAA -3.424587 -36.291372\nAA -24.377420 -34.314187\nAA 28.575428 -33.208589\nAA 7.622595 -31.231403\nAA -13.330239 -29.254217\nAA -34.283073 -27.277031\nAA 18.669776 -26.171434\nAA -2.283058 -24.194248\nAA -23.235891 -22.217062\nAA 29.716957 -21.111465\nAA 8.764124 -19.134279\nAA -12.188710 -17.157093\nAA 40.764139 -16.051496\nAA -33.141544 -15.179907\nAA 19.811305 -14.074310\nAA -1.141529 -12.097124\nAA -22.094363 -10.119938\nAA 30.858486 -9.014341\nAA -43.047196 -8.142752\nAA 9.905652 -7.037155\nAA -11.047181 -5.059969\nAA 41.905667 -3.954372\nAA -32.000015 -3.082783\nAA 20.952834 -1.977186\nAA 0.000000 0.000000\nAA -20.952834 1.977186\nAA 32.000015 3.082783\nAA -41.905667 3.954372\nAA 11.047181 5.059969\nAA -9.905652 7.037155\nAA 43.047196 8.142752\nAA -30.858486 9.014341\nAA 22.094363 10.119938\nAA 1.141529 12.097124\nAA -19.811305 14.074310\nAA 33.141544 15.179907\nAA -40.764139 16.051496\nAA 12.188710 17.157093\nAA -8.764124 19.134279\nAA -29.716957 21.111465\nAA 23.235891 22.217062\nAA 2.283058 24.194248\nAA -18.669776 26.171434\nAA 34.283073 27.277031\nAA 13.330239 29.254217\nAA -7.622595 31.231403\nAA -28.575428 33.208589\nAA 24.377420 34.314187\nAA 3.424587 36.291372\nAA -17.528247 38.268558\nAA 14.471768 41.351342\nAA -6.481066 43.328528\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "D1 (TBG-D1-AA-map.txt)"
    },
    {
     "label": "B",
     "value": "K110 (TBG-K110-AA-map.txt)"
    },
    {
     "label": "C",
     "value": "M1 (TBG-M1-AA-map.txt)"
    },
    {
     "label": "D",
     "value": "M2 (TBG-M2-AA-map.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-DES-PERIOD",
   "family": "moire_design",
   "ability": "design",
   "question": "The four files list the centres of the AA-stacked regions (nm) of model twisted bilayer graphene samples (files named by sample; each built from that sample's published twist angle; rigid twist without relaxation or strain). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport) or Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. You must choose one sample such that the moiré period is closest to 13.5 nm. Which sample should you choose?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-K079-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "19\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K079), nanometres\nAA 11.509010 -33.776251\nAA -5.993788 -30.315736\nAA -23.496586 -26.855221\nAA 23.257304 -20.348641\nAA 5.754505 -16.888126\nAA -11.748293 -13.427610\nAA -29.251092 -9.967095\nAA 35.005597 -6.921030\nAA 17.502798 -3.460515\nAA 0.000000 0.000000\nAA -17.502798 3.460515\nAA -35.005597 6.921030\nAA 29.251092 9.967095\nAA 11.748293 13.427610\nAA -5.754505 16.888126\nAA -23.257304 20.348641\nAA 23.496586 26.855221\nAA 5.993788 30.315736\nAA -11.509010 33.776251\n"
    },
    {
     "name": "TBG-M2-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M2), nanometres\nAA 10.250049 -38.945026\nAA -2.700753 -35.413122\nAA -15.651555 -31.881219\nAA 19.784168 -29.495254\nAA -28.602357 -28.349316\nAA 6.833366 -25.963350\nAA -6.117436 -22.431447\nAA 29.318287 -20.045482\nAA -19.068238 -18.899544\nAA 16.367485 -16.513578\nAA -32.019040 -15.367641\nAA 3.416683 -12.981675\nAA 38.852406 -10.595710\nAA -9.534119 -9.449772\nAA 25.901604 -7.063807\nAA -22.484921 -5.917869\nAA 12.950802 -3.531903\nAA -35.435723 -2.385965\nAA -0.000000 0.000000\nAA 35.435723 2.385965\nAA -12.950802 3.531903\nAA 22.484921 5.917869\nAA -25.901604 7.063807\nAA 9.534119 9.449772\nAA -38.852406 10.595710\nAA -3.416683 12.981675\nAA 32.019040 15.367641\nAA -16.367485 16.513578\nAA 19.068238 18.899544\nAA -29.318287 20.045482\nAA 6.117436 22.431447\nAA -6.833366 25.963350\nAA 28.602357 28.349316\nAA -19.784168 29.495254\nAA 15.651555 31.881219\nAA 2.700753 35.413122\nAA -10.250049 38.945026\n"
    },
    {
     "name": "TBG-D1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample D1), nanometres\nAA 13.799125 -36.640384\nAA 0.922103 -34.517117\nAA -11.954919 -32.393851\nAA -24.831941 -30.270585\nAA 22.076439 -26.550189\nAA 9.199417 -24.426923\nAA -3.677605 -22.303656\nAA -16.554627 -20.180390\nAA -29.431649 -18.057123\nAA 30.353752 -16.459994\nAA 17.476730 -14.336728\nAA 4.599708 -12.213461\nAA -8.277314 -10.090195\nAA -21.154335 -7.966929\nAA 38.631066 -6.369799\nAA -34.031357 -5.843662\nAA 25.754044 -4.246533\nAA 12.877022 -2.123266\nAA -0.000000 0.000000\nAA -12.877022 2.123266\nAA -25.754044 4.246533\nAA 34.031357 5.843662\nAA -38.631066 6.369799\nAA 21.154335 7.966929\nAA 8.277314 10.090195\nAA -4.599708 12.213461\nAA -17.476730 14.336728\nAA -30.353752 16.459994\nAA 29.431649 18.057123\nAA 16.554627 20.180390\nAA 3.677605 22.303656\nAA -9.199417 24.426923\nAA -22.076439 26.550189\nAA 24.831941 30.270585\nAA 11.954919 32.393851\nAA -0.922103 34.517117\nAA -13.799125 36.640384\n"
    },
    {
     "name": "TBG-M1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "55\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M1), nanometres\nAA 6.481066 -43.328528\nAA -14.471768 -41.351342\nAA 17.528247 -38.268558\nAA -3.424587 -36.291372\nAA -24.377420 -34.314187\nAA 28.575428 -33.208589\nAA 7.622595 -31.231403\nAA -13.330239 -29.254217\nAA -34.283073 -27.277031\nAA 18.669776 -26.171434\nAA -2.283058 -24.194248\nAA -23.235891 -22.217062\nAA 29.716957 -21.111465\nAA 8.764124 -19.134279\nAA -12.188710 -17.157093\nAA 40.764139 -16.051496\nAA -33.141544 -15.179907\nAA 19.811305 -14.074310\nAA -1.141529 -12.097124\nAA -22.094363 -10.119938\nAA 30.858486 -9.014341\nAA -43.047196 -8.142752\nAA 9.905652 -7.037155\nAA -11.047181 -5.059969\nAA 41.905667 -3.954372\nAA -32.000015 -3.082783\nAA 20.952834 -1.977186\nAA 0.000000 0.000000\nAA -20.952834 1.977186\nAA 32.000015 3.082783\nAA -41.905667 3.954372\nAA 11.047181 5.059969\nAA -9.905652 7.037155\nAA 43.047196 8.142752\nAA -30.858486 9.014341\nAA 22.094363 10.119938\nAA 1.141529 12.097124\nAA -19.811305 14.074310\nAA 33.141544 15.179907\nAA -40.764139 16.051496\nAA 12.188710 17.157093\nAA -8.764124 19.134279\nAA -29.716957 21.111465\nAA 23.235891 22.217062\nAA 2.283058 24.194248\nAA -18.669776 26.171434\nAA 34.283073 27.277031\nAA 13.330239 29.254217\nAA -7.622595 31.231403\nAA -28.575428 33.208589\nAA 24.377420 34.314187\nAA 3.424587 36.291372\nAA -17.528247 38.268558\nAA 14.471768 41.351342\nAA -6.481066 43.328528\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "M2 (TBG-M2-AA-map.txt)"
    },
    {
     "label": "B",
     "value": "D1 (TBG-D1-AA-map.txt)"
    },
    {
     "label": "C",
     "value": "M1 (TBG-M1-AA-map.txt)"
    },
    {
     "label": "D",
     "value": "K079 (TBG-K079-AA-map.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-MO-DES-FULL",
   "family": "moire_design",
   "ability": "design",
   "question": "The four files list the centres of the AA-stacked regions (nm) of model twisted bilayer graphene samples (files named by sample; each built from that sample's published twist angle; rigid twist without relaxation or strain). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport) or Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. You must choose one sample such that the superlattice density n_s (complete filling of one set of spin- and valley-degenerate moiré bands) is closest to 2.8 × 10¹² cm⁻². Which sample should you choose?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "inputs": [
    {
     "name": "TBG-K079-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "19\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K079), nanometres\nAA 11.509010 -33.776251\nAA -5.993788 -30.315736\nAA -23.496586 -26.855221\nAA 23.257304 -20.348641\nAA 5.754505 -16.888126\nAA -11.748293 -13.427610\nAA -29.251092 -9.967095\nAA 35.005597 -6.921030\nAA 17.502798 -3.460515\nAA 0.000000 0.000000\nAA -17.502798 3.460515\nAA -35.005597 6.921030\nAA 29.251092 9.967095\nAA 11.748293 13.427610\nAA -5.754505 16.888126\nAA -23.257304 20.348641\nAA 23.496586 26.855221\nAA 5.993788 30.315736\nAA -11.509010 33.776251\n"
    },
    {
     "name": "TBG-D1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "37\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample D1), nanometres\nAA 13.799125 -36.640384\nAA 0.922103 -34.517117\nAA -11.954919 -32.393851\nAA -24.831941 -30.270585\nAA 22.076439 -26.550189\nAA 9.199417 -24.426923\nAA -3.677605 -22.303656\nAA -16.554627 -20.180390\nAA -29.431649 -18.057123\nAA 30.353752 -16.459994\nAA 17.476730 -14.336728\nAA 4.599708 -12.213461\nAA -8.277314 -10.090195\nAA -21.154335 -7.966929\nAA 38.631066 -6.369799\nAA -34.031357 -5.843662\nAA 25.754044 -4.246533\nAA 12.877022 -2.123266\nAA -0.000000 0.000000\nAA -12.877022 2.123266\nAA -25.754044 4.246533\nAA 34.031357 5.843662\nAA -38.631066 6.369799\nAA 21.154335 7.966929\nAA 8.277314 10.090195\nAA -4.599708 12.213461\nAA -17.476730 14.336728\nAA -30.353752 16.459994\nAA 29.431649 18.057123\nAA 16.554627 20.180390\nAA 3.677605 22.303656\nAA -9.199417 24.426923\nAA -22.076439 26.550189\nAA 24.831941 30.270585\nAA 11.954919 32.393851\nAA -0.922103 34.517117\nAA -13.799125 36.640384\n"
    },
    {
     "name": "TBG-K110-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "43\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample K110), nanometres\nAA 21.338895 -38.921932\nAA -0.849520 -38.431462\nAA -23.037935 -37.940991\nAA 10.386274 -32.271453\nAA -11.802141 -31.780983\nAA 21.622068 -26.111445\nAA -0.566347 -25.620974\nAA -22.754761 -25.130504\nAA 32.857862 -19.951437\nAA 10.669447 -19.460966\nAA -11.518967 -18.970495\nAA -33.707382 -18.480025\nAA 21.905241 -13.300958\nAA -0.283173 -12.810487\nAA -22.471588 -12.320017\nAA 33.141035 -7.140950\nAA 10.952621 -6.650479\nAA -11.235794 -6.160008\nAA -33.424209 -5.669538\nAA 44.376829 -0.980941\nAA 22.188415 -0.490471\nAA 0.000000 -0.000000\nAA -22.188415 0.490471\nAA -44.376829 0.980941\nAA 33.424209 5.669538\nAA 11.235794 6.160008\nAA -10.952621 6.650479\nAA -33.141035 7.140950\nAA 22.471588 12.320017\nAA 0.283173 12.810487\nAA -21.905241 13.300958\nAA 33.707382 18.480025\nAA 11.518967 18.970495\nAA -10.669447 19.460966\nAA -32.857862 19.951437\nAA 22.754761 25.130504\nAA 0.566347 25.620974\nAA -21.622068 26.111445\nAA 11.802141 31.780983\nAA -10.386274 32.271453\nAA 23.037935 37.940991\nAA 0.849520 38.431462\nAA -21.338895 38.921932\n"
    },
    {
     "name": "TBG-M1-AA-map.txt",
     "format": "aa-site-map",
     "unit": "nm",
     "text": "55\nAA-stacked region centres of a model rigid twisted bilayer graphene (sample M1), nanometres\nAA 6.481066 -43.328528\nAA -14.471768 -41.351342\nAA 17.528247 -38.268558\nAA -3.424587 -36.291372\nAA -24.377420 -34.314187\nAA 28.575428 -33.208589\nAA 7.622595 -31.231403\nAA -13.330239 -29.254217\nAA -34.283073 -27.277031\nAA 18.669776 -26.171434\nAA -2.283058 -24.194248\nAA -23.235891 -22.217062\nAA 29.716957 -21.111465\nAA 8.764124 -19.134279\nAA -12.188710 -17.157093\nAA 40.764139 -16.051496\nAA -33.141544 -15.179907\nAA 19.811305 -14.074310\nAA -1.141529 -12.097124\nAA -22.094363 -10.119938\nAA 30.858486 -9.014341\nAA -43.047196 -8.142752\nAA 9.905652 -7.037155\nAA -11.047181 -5.059969\nAA 41.905667 -3.954372\nAA -32.000015 -3.082783\nAA 20.952834 -1.977186\nAA 0.000000 0.000000\nAA -20.952834 1.977186\nAA 32.000015 3.082783\nAA -41.905667 3.954372\nAA 11.047181 5.059969\nAA -9.905652 7.037155\nAA 43.047196 8.142752\nAA -30.858486 9.014341\nAA 22.094363 10.119938\nAA 1.141529 12.097124\nAA -19.811305 14.074310\nAA 33.141544 15.179907\nAA -40.764139 16.051496\nAA 12.188710 17.157093\nAA -8.764124 19.134279\nAA -29.716957 21.111465\nAA 23.235891 22.217062\nAA 2.283058 24.194248\nAA -18.669776 26.171434\nAA 34.283073 27.277031\nAA 13.330239 29.254217\nAA -7.622595 31.231403\nAA -28.575428 33.208589\nAA 24.377420 34.314187\nAA 3.424587 36.291372\nAA -17.528247 38.268558\nAA 14.471768 41.351342\nAA -6.481066 43.328528\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "M1 (TBG-M1-AA-map.txt)"
    },
    {
     "label": "B",
     "value": "K110 (TBG-K110-AA-map.txt)"
    },
    {
     "label": "C",
     "value": "K079 (TBG-K079-AA-map.txt)"
    },
    {
     "label": "D",
     "value": "D1 (TBG-D1-AA-map.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-6NCL",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Select all points labelled Vp54. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "inputs": [
    {
     "name": "6NCL-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6NCL-chain-centroids.txt",
     "sha256": "c6d287cb481dedef6b45a18df13b34af9cec25669a44157c445959a58ed42be5",
     "chars": 244799
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "172.64",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "174.36",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "200.11",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "279.00",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-T-6NCL",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. In this capsid the major capsid protein Vp54 forms trimeric pseudo-hexameric capsomers, and the 12 pentamers at the vertices are formed by a different protein. What is the triangulation number T of the icosahedral shell?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "inputs": [
    {
     "name": "6NCL-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6NCL-chain-centroids.txt",
     "sha256": "c6d287cb481dedef6b45a18df13b34af9cec25669a44157c445959a58ed42be5",
     "chars": 244799
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "28",
     "unit": ""
    },
    {
     "label": "B",
     "value": "84",
     "unit": ""
    },
    {
     "label": "C",
     "value": "168",
     "unit": ""
    },
    {
     "label": "D",
     "value": "169",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-6NCL",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Select all points labelled Vp54. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "inputs": [
    {
     "name": "6NCL-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "url": "assets/families/assemblies/6NCL-chain-centroids.txt",
     "sha256": "c6d287cb481dedef6b45a18df13b34af9cec25669a44157c445959a58ed42be5",
     "chars": 244799
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.0029",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.0107",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.0167",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.0180",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SS-1UBQ-43",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 42–44 of chain A from PDB entry 1UBQ (ubiquitin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of Leu43 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does Leu43 adopt?",
   "scope": "只含残基 42–44 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "1UBQ-A43-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    321  N   ARG A  42      32.478  30.917  22.269  1.00  5.73           N\nATOM    322  CA  ARG A  42      31.200  30.329  22.780  1.00  6.97           C\nATOM    323  C   ARG A  42      30.210  30.509  21.650  1.00  7.15           C\nATOM    324  O   ARG A  42      29.978  31.726  21.269  1.00  7.33           O\nATOM    325  CB  ARG A  42      30.847  30.931  24.118  1.00 13.23           C\nATOM    326  CG  ARG A  42      29.412  30.796  24.598  1.00 21.27           C\nATOM    327  CD  ARG A  42      29.271  31.314  26.016  1.00 26.14           C\nATOM    328  NE  ARG A  42      27.875  31.317  26.443  1.00 32.26           N\nATOM    329  CZ  ARG A  42      27.132  32.423  26.574  1.00 34.32           C\nATOM    330  NH1 ARG A  42      27.630  33.656  26.461  1.00 35.30           N\nATOM    331  NH2 ARG A  42      25.810  32.299  26.732  1.00 36.39           N\nATOM    332  N   LEU A  43      29.694  29.436  21.054  1.00  4.65           N\nATOM    333  CA  LEU A  43      28.762  29.573  19.906  1.00  3.51           C\nATOM    334  C   LEU A  43      27.331  29.317  20.364  1.00  5.56           C\nATOM    335  O   LEU A  43      27.101  28.346  21.097  1.00  4.19           O\nATOM    336  CB  LEU A  43      29.151  28.655  18.755  1.00  3.74           C\nATOM    337  CG  LEU A  43      30.416  28.912  17.980  1.00  6.32           C\nATOM    338  CD1 LEU A  43      30.738  27.693  17.122  1.00  9.55           C\nATOM    339  CD2 LEU A  43      30.205  30.168  17.129  1.00  6.41           C\nATOM    340  N   ILE A  44      26.436  30.232  20.004  1.00  4.58           N\nATOM    341  CA  ILE A  44      25.034  30.170  20.401  1.00  5.55           C\nATOM    342  C   ILE A  44      24.101  30.149  19.196  1.00  5.46           C\nATOM    343  O   ILE A  44      24.196  30.948  18.287  1.00  6.04           O\nATOM    344  CB  ILE A  44      24.639  31.426  21.286  1.00  6.80           C\nATOM    345  CG1 ILE A  44      25.646  31.670  22.421  1.00 10.31           C\nATOM    346  CG2 ILE A  44      23.181  31.309  21.824  1.00  7.39           C\nATOM    347  CD1 ILE A  44      25.778  30.436  23.356  1.00 13.90           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "right-handed α-helix"
    },
    {
     "label": "B",
     "value": "left-handed α-helix"
    },
    {
     "label": "C",
     "value": "β-strand"
    },
    {
     "label": "D",
     "value": "polyproline II"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SS-6LYZ-90",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 89–91 of chain A from PDB entry 6LYZ (hen egg-white lysozyme, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of Ala90 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does Ala90 adopt?",
   "scope": "只含残基 89–91 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "6LYZ-A90-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    686  N   THR A  89      -5.166  11.108  18.500  1.00  6.35           N\nATOM    687  CA  THR A  89      -6.137  11.073  19.601  1.00  6.05           C\nATOM    688  C   THR A  89      -5.518  11.514  20.928  1.00  6.93           C\nATOM    689  O   THR A  89      -6.071  12.379  21.641  1.00  8.34           O\nATOM    690  CB  THR A  89      -6.676   9.632  19.684  1.00  6.38           C\nATOM    691  OG1 THR A  89      -7.389   9.456  18.464  1.00  7.23           O\nATOM    692  CG2 THR A  89      -7.590   9.426  20.862  1.00  5.18           C\nATOM    693  N   ALA A  90      -4.378  10.908  21.220  1.00  9.43           N\nATOM    694  CA  ALA A  90      -3.609  11.188  22.439  1.00  7.16           C\nATOM    695  C   ALA A  90      -3.093  12.623  22.544  1.00  7.06           C\nATOM    696  O   ALA A  90      -3.062  13.219  23.642  1.00 11.16           O\nATOM    697  CB  ALA A  90      -2.366  10.285  22.407  1.00  4.15           C\nATOM    698  N   SER A  91      -2.704  13.142  21.390  1.00  7.90           N\nATOM    699  CA  SER A  91      -2.271  14.538  21.243  1.00  5.16           C\nATOM    700  C   SER A  91      -3.335  15.615  21.450  1.00  5.99           C\nATOM    701  O   SER A  91      -3.088  16.646  22.107  1.00  6.67           O\nATOM    702  CB  SER A  91      -1.709  14.771  19.858  1.00  9.90           C\nATOM    703  OG  SER A  91      -0.485  14.073  19.653  1.00  5.99           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "β-strand"
    },
    {
     "label": "B",
     "value": "polyproline II"
    },
    {
     "label": "C",
     "value": "left-handed α-helix"
    },
    {
     "label": "D",
     "value": "right-handed α-helix"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-SS-1CRN-34",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 33–35 of chain A from PDB entry 1CRN (crambin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of Ile34 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does Ile34 adopt?",
   "scope": "只含残基 33–35 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "1CRN-A34-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    230  N   ILE A  33       9.793  13.410   9.173  1.00  6.02           N\nATOM    231  CA  ILE A  33      10.280  14.760   8.823  1.00  5.24           C\nATOM    232  C   ILE A  33      11.346  14.658   7.743  1.00  5.16           C\nATOM    233  O   ILE A  33      11.971  13.583   7.552  1.00  7.19           O\nATOM    234  CB  ILE A  33      10.790  15.535  10.085  1.00  5.49           C\nATOM    235  CG1 ILE A  33      12.059  14.803  10.671  1.00  6.85           C\nATOM    236  CG2 ILE A  33       9.684  15.686  11.138  1.00  6.45           C\nATOM    237  CD1 ILE A  33      12.733  15.676  11.781  1.00  8.94           C\nATOM    238  N   ILE A  34      11.490  15.773   7.038  1.00  5.52           N\nATOM    239  CA  ILE A  34      12.552  15.877   6.036  1.00  6.82           C\nATOM    240  C   ILE A  34      13.590  16.917   6.560  1.00  6.92           C\nATOM    241  O   ILE A  34      13.168  18.006   6.945  1.00  9.22           O\nATOM    242  CB  ILE A  34      11.987  16.360   4.681  1.00  8.11           C\nATOM    243  CG1 ILE A  34      10.914  15.338   4.163  1.00  9.59           C\nATOM    244  CG2 ILE A  34      13.131  16.517   3.629  1.00  9.73           C\nATOM    245  CD1 ILE A  34      10.151  16.024   2.938  1.00 13.41           C\nATOM    246  N   ILE A  35      14.856  16.493   6.536  1.00  7.06           N\nATOM    247  CA  ILE A  35      15.930  17.454   6.941  1.00  7.52           C\nATOM    248  C   ILE A  35      16.913  17.550   5.819  1.00  6.63           C\nATOM    249  O   ILE A  35      17.097  16.660   4.970  1.00  7.90           O\nATOM    250  CB  ILE A  35      16.622  16.995   8.285  1.00  8.07           C\nATOM    251  CG1 ILE A  35      17.360  15.651   8.067  1.00  9.41           C\nATOM    252  CG2 ILE A  35      15.592  16.974   9.434  1.00  9.46           C\nATOM    253  CD1 ILE A  35      18.298  15.206   9.219  1.00  9.85           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "β-strand"
    },
    {
     "label": "B",
     "value": "polyproline II"
    },
    {
     "label": "C",
     "value": "right-handed α-helix"
    },
    {
     "label": "D",
     "value": "left-handed α-helix"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HG-EV1",
   "family": "binding_evidence_choice",
   "ability": "inference",
   "question": "The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at pH 7.40 and 298.15 K; all complexes are 1:1. Which guest binds WP6 most strongly, i.e. has the most negative measured binding free energy?",
   "scope": "主体与客体为 SAMPL9 提供的 3D 结构；答案依据实测 ITC 结合自由能（1× PBS，pH 7.40，298.15 K，1:1），证据只在审核侧。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    },
    {
     "name": "WP6-G12.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "50\nSAMPL9 WP6 guest G12 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.157 0.304 -1.041\nC -1.914 -1.454 -1.374\nC 0.565 0.036 -3.431\nC -1.195 -1.724 -3.761\nC -1.624 0.059 -1.451\nC 0.796 -0.460 -1.985\nC -0.972 -2.227 -2.319\nC -0.901 -0.211 -3.851\nC -1.801 0.586 -2.888\nC 0.505 -1.972 -1.961\nC -3.850 -0.818 -2.810\nC -3.343 0.530 -4.836\nC -4.037 1.659 -2.733\nC 0.386 -1.585 0.491\nC 2.331 -2.786 -0.484\nC 0.100 -3.879 -0.419\nN -3.225 0.491 -3.307\nN 0.823 -2.542 -0.624\nH 0.066 1.378 -1.084\nH 0.000 0.001 0.000\nH -1.796 -1.803 -0.342\nH -2.957 -1.661 -1.639\nH 0.802 1.104 -3.502\nH 1.244 -0.484 -4.119\nH -0.536 -2.269 -4.449\nH -2.220 -1.942 -4.082\nH -2.286 0.600 -0.764\nH 1.837 -0.267 -1.700\nH -1.195 -3.299 -2.272\nH -1.044 0.135 -4.882\nH -1.559 1.654 -2.935\nH 1.164 -2.500 -2.661\nH -4.890 -0.839 -3.143\nH -3.283 -1.644 -3.244\nH -3.786 -0.827 -1.721\nH -4.402 0.458 -5.091\nH -2.920 1.476 -5.180\nH -2.785 -0.318 -5.236\nH -5.070 1.543 -3.068\nH -3.970 1.609 -1.645\nH -3.603 2.586 -3.111\nH 0.640 -2.047 1.447\nH 0.924 -0.645 0.354\nH -0.692 -1.437 0.401\nH 2.511 -3.202 0.509\nH 2.630 -3.488 -1.264\nH 2.837 -1.826 -0.605\nH 0.365 -4.254 0.571\nH -0.974 -3.693 -0.494\nH 0.435 -4.564 -1.200\n"
    },
    {
     "name": "WP6-G6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "27\nSAMPL9 WP6 guest G6 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.296 0.887 -0.571\nC -0.095 0.684 -2.073\nC -1.701 1.342 -0.172\nC -0.091 -0.773 -2.535\nC -2.830 0.323 -0.342\nC -1.185 -1.689 -1.988\nC -3.180 0.003 -1.797\nC -2.639 -1.335 -2.305\nN -2.845 -1.383 -3.783\nH 0.001 0.000 0.000\nH 0.390 1.684 -0.255\nH -0.812 1.271 -2.654\nH 0.887 1.098 -2.341\nH -1.667 1.619 0.890\nH -1.955 2.263 -0.713\nH -0.100 -0.795 -3.631\nH 0.873 -1.212 -2.243\nH -2.622 -0.586 0.233\nH -3.722 0.766 0.120\nH -0.991 -2.697 -2.381\nH -1.065 -1.797 -0.904\nH -4.276 -0.047 -1.870\nH -2.895 0.832 -2.453\nH -3.272 -2.138 -1.906\nH -2.077 -1.882 -4.235\nH -2.888 -0.437 -4.168\nH -3.720 -1.863 -4.006\n"
    },
    {
     "name": "WP6-G7.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "21\nSAMPL9 WP6 guest G7 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.575 0.875 -0.327\nC -1.927 0.419 -0.867\nC -0.727 1.845 0.841\nC -2.806 -0.172 0.235\nC -1.600 1.260 1.951\nC -2.951 0.750 1.446\nN -3.809 1.914 1.079\nH -0.000 0.000 0.000\nH 0.001 1.352 -1.128\nH -2.438 1.265 -1.341\nH -1.772 -0.331 -1.651\nH 0.263 2.087 1.246\nH -1.157 2.788 0.483\nH -3.791 -0.428 -0.173\nH -2.358 -1.117 0.570\nH -1.063 0.421 2.413\nH -1.742 2.005 2.743\nH -3.486 0.235 2.252\nH -3.242 2.758 0.973\nH -4.510 2.085 1.804\nH -4.294 1.737 0.196\n"
    },
    {
     "name": "WP6-G1.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "39\nSAMPL9 WP6 guest G1 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.463 -0.861 0.499\nC -1.792 -1.167 -0.213\nC 0.531 -2.029 0.475\nC -2.611 -2.325 0.379\nC 1.833 -1.767 1.244\nC -3.179 -2.034 1.775\nC 1.723 -1.579 2.765\nC -3.315 -3.274 2.675\nC 1.682 -2.861 3.616\nC -2.007 -4.029 2.976\nC 0.497 -3.813 3.411\nC -0.881 -3.155 3.546\nN -1.159 -2.874 4.982\nH -0.000 -0.000 -0.000\nH -0.666 -0.538 1.523\nH -2.408 -0.259 -0.215\nH -1.578 -1.399 -1.264\nH 0.066 -2.941 0.844\nH 0.793 -2.231 -0.571\nH -3.456 -2.524 -0.293\nH -2.013 -3.238 0.361\nH 2.535 -2.584 1.037\nH 2.290 -0.861 0.825\nH -2.601 -1.267 2.296\nH -4.178 -1.595 1.650\nH 2.625 -1.037 3.080\nH 0.893 -0.916 3.025\nH -3.774 -2.965 3.621\nH -4.018 -3.975 2.208\nH 2.606 -3.426 3.437\nH 1.716 -2.565 4.672\nH -2.225 -4.856 3.664\nH -1.664 -4.510 2.053\nH 0.599 -4.276 2.423\nH 0.583 -4.644 4.124\nH -0.874 -2.185 3.063\nH -1.612 -3.676 5.427\nH -1.776 -2.063 5.078\nH -0.290 -2.677 5.486\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G7: cyclohexylammonium (WP6-G7.xyz)"
    },
    {
     "label": "B",
     "value": "G1: cyclododecylammonium (WP6-G1.xyz)"
    },
    {
     "label": "C",
     "value": "G12: trimethyl-[6-(trimethylammonio)-2-adamantyl]ammonium (WP6-G12.xyz)"
    },
    {
     "label": "D",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HG-EV2",
   "family": "binding_evidence_choice",
   "ability": "inference",
   "question": "The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at pH 7.40 and 298.15 K; all complexes are 1:1. Which guest binds WP6 most strongly, i.e. has the most negative measured binding free energy?",
   "scope": "主体与客体为 SAMPL9 提供的 3D 结构；答案依据实测 ITC 结合自由能（1× PBS，pH 7.40，298.15 K，1:1），证据只在审核侧。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    },
    {
     "name": "WP6-G10.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "42\nSAMPL9 WP6 guest G10 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.178 1.286 5.191\nC 0.509 1.750 6.313\nC 1.300 -0.621 5.073\nC 1.988 -0.157 6.194\nC 0.217 0.100 4.572\nC 1.593 1.028 6.814\nC -1.755 -1.829 4.982\nC -2.895 0.101 3.909\nC -2.326 -1.910 2.565\nC 0.527 0.424 9.323\nC 2.815 -0.548 9.292\nC 2.386 1.583 10.496\nC -0.522 -0.399 3.365\nC 2.329 1.525 8.012\nN -1.875 -1.009 3.705\nN 2.021 0.763 9.254\nH -1.022 1.854 4.808\nH 0.196 2.675 6.788\nH 1.616 -1.545 4.595\nH 2.831 -0.726 6.579\nH -1.018 -2.615 4.806\nH -1.431 -1.159 5.780\nH -2.737 -2.253 5.200\nH -2.960 0.670 2.980\nH -3.852 -0.365 4.151\nH -2.546 0.729 4.731\nH -2.403 -1.297 1.665\nH -1.577 -2.695 2.442\nH -3.296 -2.332 2.836\nH -0.030 1.362 9.295\nH 0.287 -0.202 8.462\nH 0.349 -0.110 10.258\nH 3.876 -0.298 9.243\nH 2.575 -1.056 10.228\nH 2.512 -1.148 8.432\nH 3.450 1.820 10.439\nH 1.781 2.492 10.487\nH 2.167 0.974 11.375\nH -0.713 0.412 2.654\nH 0.050 -1.173 2.843\nH 3.417 1.462 7.874\nH 2.088 2.575 8.228\n"
    },
    {
     "name": "WP6-G4.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "20\nSAMPL9 WP6 guest G4 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 0.369 0.356 1.870\nC 1.296 -1.352 -0.497\nC 1.348 1.697 -0.696\nC -1.326 0.232 -0.686\nN -2.118 -0.894 -0.129\nSi 0.409 0.225 -0.002\nH -0.143 1.268 2.192\nH -0.155 -0.495 2.315\nH 1.381 0.378 2.286\nH 1.336 -1.458 -1.586\nH 2.325 -1.361 -0.124\nH 0.789 -2.234 -0.096\nH 1.394 1.658 -1.789\nH 0.868 2.640 -0.417\nH 2.376 1.724 -0.321\nH -1.863 1.148 -0.425\nH -1.336 0.111 -1.773\nH -1.707 -1.808 -0.362\nH -2.200 -0.839 0.896\nH -3.075 -0.889 -0.507\n"
    },
    {
     "name": "WP6-G9.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "30\nSAMPL9 WP6 guest G9 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.513 0.790 -0.563\nC -2.718 1.898 -1.022\nC -0.991 1.720 -2.845\nC -2.607 -0.584 -0.677\nC -0.887 -0.762 -2.496\nC -3.092 0.343 -2.963\nC -2.018 0.769 -0.242\nC -0.286 0.589 -2.073\nC -2.497 1.692 -2.531\nC -2.395 -0.792 -2.189\nN -3.171 2.784 -3.277\nO -2.943 -2.046 -2.565\nH -0.076 1.744 -0.243\nH 0.000 0.000 0.000\nH -3.789 1.899 -0.785\nH -2.316 2.868 -0.702\nH -0.554 2.686 -2.561\nH -0.818 1.592 -3.921\nH -2.140 -1.403 -0.115\nH -3.677 -0.632 -0.437\nH -0.716 -0.937 -3.566\nH -0.381 -1.586 -1.977\nH -4.174 0.309 -2.775\nH -2.971 0.185 -4.044\nH -2.171 0.911 0.833\nH 0.787 0.603 -2.292\nH -2.485 3.439 -3.667\nH -3.799 3.313 -2.663\nH -3.727 2.409 -4.052\nH -2.793 -2.144 -3.520\n"
    },
    {
     "name": "WP6-G5.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "56\nSAMPL9 WP6 guest G5 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -1.578 0.689 0.408\nC -0.531 -1.591 0.597\nC -0.591 -0.414 -1.628\nC 0.607 0.407 1.623\nC 0.546 1.584 -0.601\nC 1.597 -0.697 -0.413\nC -1.373 -0.665 -0.315\nC -0.220 1.360 0.726\nC 0.826 -0.931 0.897\nC 0.766 0.236 -1.308\nC -2.727 -1.313 -0.621\nC -0.444 2.697 1.439\nC 2.984 -1.211 2.097\nC 1.860 -3.183 1.085\nC 0.885 -2.092 3.094\nC 2.864 1.119 -2.305\nC 0.705 1.399 -3.504\nC 1.741 -0.852 -3.319\nN 1.620 -1.833 1.772\nN 1.501 0.470 -2.578\nH -2.186 1.357 -0.218\nH -2.143 0.534 1.337\nH -1.074 -1.788 1.531\nH -0.381 -2.562 0.105\nH -0.442 -1.363 -2.159\nH -1.177 0.235 -2.292\nH 1.572 0.870 1.868\nH 0.082 0.243 2.574\nH -0.022 2.265 -1.248\nH 1.510 2.069 -0.397\nH 2.578 -0.249 -0.202\nH 1.779 -1.653 -0.923\nH -2.571 -2.262 -1.127\nH -3.310 -0.654 -1.261\nH -3.267 -1.484 0.307\nH 0.516 3.159 1.658\nH -0.982 2.529 2.369\nH -1.025 3.358 0.801\nH 3.525 -1.909 2.739\nH 3.512 -1.054 1.155\nH 2.806 -0.264 2.610\nH 2.445 -3.805 1.766\nH 0.887 -3.632 0.881\nH 2.407 -2.994 0.160\nH 1.507 -2.756 3.697\nH 0.741 -1.130 3.591\nH -0.073 -2.559 2.858\nH 3.361 1.269 -3.265\nH 2.686 2.072 -1.803\nH 3.436 0.441 -1.669\nH 1.286 1.538 -4.418\nH -0.252 0.920 -3.716\nH 0.562 2.348 -2.982\nH 2.282 -0.626 -4.239\nH 2.330 -1.499 -2.666\nH 0.767 -1.296 -3.534\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G4: trimethylsilylmethylammonium (WP6-G4.xyz)"
    },
    {
     "label": "B",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)"
    },
    {
     "label": "C",
     "value": "G9: (3-hydroxy-1-adamantyl)ammonium (WP6-G9.xyz)"
    },
    {
     "label": "D",
     "value": "G10: trimethyl-[[4-[(trimethylammonio)methyl]phenyl]methyl]ammonium (WP6-G10.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HG-EV3",
   "family": "binding_evidence_choice",
   "ability": "inference",
   "question": "The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at pH 7.40 and 298.15 K; all complexes are 1:1. Which guest binds WP6 most strongly, i.e. has the most negative measured binding free energy?",
   "scope": "主体与客体为 SAMPL9 提供的 3D 结构；答案依据实测 ITC 结合自由能（1× PBS，pH 7.40，298.15 K，1:1），证据只在审核侧。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    },
    {
     "name": "WP6-G3.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "22\nSAMPL9 WP6 guest G3 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 0.938 0.359 0.436\nC 1.176 1.850 0.149\nC 1.980 1.356 2.327\nC -0.363 0.943 2.501\nC 0.935 0.298 1.974\nC 1.254 2.464 1.559\nC -0.159 2.430 2.169\nN -0.207 3.235 3.414\nH -0.000 0.000 0.000\nH 1.758 -0.239 0.023\nH 2.122 1.984 -0.387\nH 0.375 2.285 -0.457\nH 2.062 1.541 3.402\nH 2.973 1.132 1.923\nH -1.253 0.537 2.009\nH -0.465 0.768 3.578\nH 1.120 -0.701 2.373\nH 1.734 3.445 1.574\nH -0.932 2.829 1.505\nH -0.212 2.630 4.242\nH -1.052 3.817 3.442\nH 0.607 3.856 3.481\n"
    },
    {
     "name": "WP6-G11.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "20\nSAMPL9 WP6 guest G11 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.038 -0.221 1.073\nC 2.355 0.472 1.257\nC 1.785 -1.934 0.892\nC 1.335 -0.814 3.133\nC 1.345 -0.640 1.599\nN 2.653 -1.236 3.666\nH -0.793 -0.985 1.294\nH -0.368 0.715 1.537\nH -0.030 -0.059 -0.010\nH 3.360 0.217 1.614\nH 2.068 1.423 1.719\nH 2.418 0.633 0.175\nH 2.768 -2.272 1.235\nH 1.078 -2.748 1.085\nH 1.838 -1.791 -0.194\nH 0.619 -1.581 3.445\nH 1.085 0.124 3.641\nH 2.541 -1.866 4.467\nH 3.200 -0.425 3.976\nH 3.198 -1.729 2.950\n"
    },
    {
     "name": "WP6-G8.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "36\nSAMPL9 WP6 guest G8 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 2.262 -2.258 -2.188\nC 0.999 -2.684 -1.778\nC 3.119 -1.639 -1.277\nC 0.592 -2.491 -0.458\nC 2.712 -1.445 0.043\nC 1.448 -1.871 0.453\nC -0.610 -0.045 0.907\nC 1.338 0.778 2.212\nC 1.011 -1.662 1.873\nC 0.359 -0.747 4.558\nC -0.522 -0.399 3.365\nC -0.406 -0.818 5.872\nN 0.304 -0.332 2.089\nO 1.647 -0.171 7.214\nO -0.239 -1.269 8.362\nO 1.180 -2.559 6.813\nS 0.662 -1.251 7.210\nH 2.580 -2.410 -3.215\nH 0.333 -3.168 -2.486\nH 4.103 -1.308 -1.596\nH -0.394 -2.826 -0.147\nH 3.386 -0.962 0.745\nH -1.339 -0.856 0.844\nH -1.102 0.912 1.090\nH 0.009 -0.003 0.009\nH 1.977 0.545 3.066\nH 1.914 0.802 1.285\nH 0.803 1.717 2.367\nH 0.314 -2.445 2.191\nH 1.867 -1.679 2.556\nH 0.833 -1.717 4.365\nH 1.176 -0.019 4.644\nH -1.012 0.573 3.483\nH -1.282 -1.170 3.205\nH -1.191 -1.578 5.835\nH -0.855 0.144 6.135\n"
    },
    {
     "name": "WP6-G5.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "56\nSAMPL9 WP6 guest G5 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -1.578 0.689 0.408\nC -0.531 -1.591 0.597\nC -0.591 -0.414 -1.628\nC 0.607 0.407 1.623\nC 0.546 1.584 -0.601\nC 1.597 -0.697 -0.413\nC -1.373 -0.665 -0.315\nC -0.220 1.360 0.726\nC 0.826 -0.931 0.897\nC 0.766 0.236 -1.308\nC -2.727 -1.313 -0.621\nC -0.444 2.697 1.439\nC 2.984 -1.211 2.097\nC 1.860 -3.183 1.085\nC 0.885 -2.092 3.094\nC 2.864 1.119 -2.305\nC 0.705 1.399 -3.504\nC 1.741 -0.852 -3.319\nN 1.620 -1.833 1.772\nN 1.501 0.470 -2.578\nH -2.186 1.357 -0.218\nH -2.143 0.534 1.337\nH -1.074 -1.788 1.531\nH -0.381 -2.562 0.105\nH -0.442 -1.363 -2.159\nH -1.177 0.235 -2.292\nH 1.572 0.870 1.868\nH 0.082 0.243 2.574\nH -0.022 2.265 -1.248\nH 1.510 2.069 -0.397\nH 2.578 -0.249 -0.202\nH 1.779 -1.653 -0.923\nH -2.571 -2.262 -1.127\nH -3.310 -0.654 -1.261\nH -3.267 -1.484 0.307\nH 0.516 3.159 1.658\nH -0.982 2.529 2.369\nH -1.025 3.358 0.801\nH 3.525 -1.909 2.739\nH 3.512 -1.054 1.155\nH 2.806 -0.264 2.610\nH 2.445 -3.805 1.766\nH 0.887 -3.632 0.881\nH 2.407 -2.994 0.160\nH 1.507 -2.756 3.697\nH 0.741 -1.130 3.591\nH -0.073 -2.559 2.858\nH 3.361 1.269 -3.265\nH 2.686 2.072 -1.803\nH 3.436 0.441 -1.669\nH 1.286 1.538 -4.418\nH -0.252 0.920 -3.716\nH 0.562 2.348 -2.982\nH 2.282 -0.626 -4.239\nH 2.330 -1.499 -2.666\nH 0.767 -1.296 -3.534\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G3: norbornan-2-ylammonium (WP6-G3.xyz)"
    },
    {
     "label": "B",
     "value": "G8: 3-[benzyl(dimethyl)ammonio]propane-1-sulfonate (WP6-G8.xyz)"
    },
    {
     "label": "C",
     "value": "G11: 2,2-dimethylpropylammonium (WP6-G11.xyz)"
    },
    {
     "label": "D",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HG-DES1",
   "family": "binding_design_choice",
   "ability": "design",
   "question": "The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at pH 7.40 and 298.15 K; all complexes are 1:1. You start from guest G7 (cyclohexylammonium), whose measured binding free energy to WP6 under these conditions is -6.97 kcal/mol, and want a replacement guest that binds WP6 at least 2.0 kcal/mol more strongly (measured ΔG ≤ -8.97 kcal/mol). Exactly one of the four candidates achieves this in the measured data. Which one?",
   "scope": "主体与客体为 SAMPL9 提供的 3D 结构；答案依据实测 ITC 结合自由能（1× PBS，pH 7.40，298.15 K，1:1），证据只在审核侧。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    },
    {
     "name": "WP6-G2.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "46\nSAMPL9 WP6 guest G2 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 2.034 -2.522 1.835\nC 0.591 -0.492 2.208\nC -0.009 -3.610 -0.014\nC -1.400 -1.539 0.331\nC 2.681 -2.313 3.199\nC 1.237 -0.282 3.572\nC -0.657 -3.818 -1.378\nC -2.048 -1.747 -1.033\nC 0.610 -1.963 1.785\nC 0.009 -2.135 0.392\nC 3.616 -0.006 2.766\nC 3.157 -0.755 5.071\nC -3.044 -4.024 -0.578\nC -2.559 -3.313 -2.889\nN 2.662 -0.841 3.621\nN -2.067 -3.224 -1.438\nH 2.651 -2.072 1.049\nH 2.009 -3.598 1.621\nH -0.448 -0.142 2.256\nH 1.085 0.131 1.453\nH -0.522 -4.212 0.745\nH 1.020 -3.988 -0.055\nH -1.348 -0.462 0.533\nH -2.031 -1.964 1.120\nH 2.134 -2.876 3.966\nH 3.724 -2.647 3.197\nH 1.287 0.783 3.826\nH 0.660 -0.801 4.347\nH -0.064 -3.323 -2.157\nH -0.733 -4.884 -1.621\nH -3.083 -1.387 -1.038\nH -1.485 -1.207 -1.805\nH -0.010 -2.533 2.491\nH 0.645 -1.589 -0.318\nH 3.558 1.027 3.114\nH 4.622 -0.409 2.898\nH 3.293 -0.089 1.727\nH 3.143 0.295 5.367\nH 2.481 -1.347 5.690\nH 4.172 -1.157 5.102\nH -4.026 -3.553 -0.662\nH -3.065 -5.047 -0.959\nH -2.683 -3.996 0.452\nH -3.564 -2.889 -2.927\nH -1.868 -2.743 -3.512\nH -2.567 -4.367 -3.175\n"
    },
    {
     "name": "WP6-G6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "27\nSAMPL9 WP6 guest G6 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.296 0.887 -0.571\nC -0.095 0.684 -2.073\nC -1.701 1.342 -0.172\nC -0.091 -0.773 -2.535\nC -2.830 0.323 -0.342\nC -1.185 -1.689 -1.988\nC -3.180 0.003 -1.797\nC -2.639 -1.335 -2.305\nN -2.845 -1.383 -3.783\nH 0.001 0.000 0.000\nH 0.390 1.684 -0.255\nH -0.812 1.271 -2.654\nH 0.887 1.098 -2.341\nH -1.667 1.619 0.890\nH -1.955 2.263 -0.713\nH -0.100 -0.795 -3.631\nH 0.873 -1.212 -2.243\nH -2.622 -0.586 0.233\nH -3.722 0.766 0.120\nH -0.991 -2.697 -2.381\nH -1.065 -1.797 -0.904\nH -4.276 -0.047 -1.870\nH -2.895 0.832 -2.453\nH -3.272 -2.138 -1.906\nH -2.077 -1.882 -4.235\nH -2.888 -0.437 -4.168\nH -3.720 -1.863 -4.006\n"
    },
    {
     "name": "WP6-G3.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "22\nSAMPL9 WP6 guest G3 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 0.938 0.359 0.436\nC 1.176 1.850 0.149\nC 1.980 1.356 2.327\nC -0.363 0.943 2.501\nC 0.935 0.298 1.974\nC 1.254 2.464 1.559\nC -0.159 2.430 2.169\nN -0.207 3.235 3.414\nH -0.000 0.000 0.000\nH 1.758 -0.239 0.023\nH 2.122 1.984 -0.387\nH 0.375 2.285 -0.457\nH 2.062 1.541 3.402\nH 2.973 1.132 1.923\nH -1.253 0.537 2.009\nH -0.465 0.768 3.578\nH 1.120 -0.701 2.373\nH 1.734 3.445 1.574\nH -0.932 2.829 1.505\nH -0.212 2.630 4.242\nH -1.052 3.817 3.442\nH 0.607 3.856 3.481\n"
    },
    {
     "name": "WP6-G1.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "39\nSAMPL9 WP6 guest G1 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.463 -0.861 0.499\nC -1.792 -1.167 -0.213\nC 0.531 -2.029 0.475\nC -2.611 -2.325 0.379\nC 1.833 -1.767 1.244\nC -3.179 -2.034 1.775\nC 1.723 -1.579 2.765\nC -3.315 -3.274 2.675\nC 1.682 -2.861 3.616\nC -2.007 -4.029 2.976\nC 0.497 -3.813 3.411\nC -0.881 -3.155 3.546\nN -1.159 -2.874 4.982\nH -0.000 -0.000 -0.000\nH -0.666 -0.538 1.523\nH -2.408 -0.259 -0.215\nH -1.578 -1.399 -1.264\nH 0.066 -2.941 0.844\nH 0.793 -2.231 -0.571\nH -3.456 -2.524 -0.293\nH -2.013 -3.238 0.361\nH 2.535 -2.584 1.037\nH 2.290 -0.861 0.825\nH -2.601 -1.267 2.296\nH -4.178 -1.595 1.650\nH 2.625 -1.037 3.080\nH 0.893 -0.916 3.025\nH -3.774 -2.965 3.621\nH -4.018 -3.975 2.208\nH 2.606 -3.426 3.437\nH 1.716 -2.565 4.672\nH -2.225 -4.856 3.664\nH -1.664 -4.510 2.053\nH 0.599 -4.276 2.423\nH 0.583 -4.644 4.124\nH -0.874 -2.185 3.063\nH -1.612 -3.676 5.427\nH -1.776 -2.063 5.078\nH -0.290 -2.677 5.486\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G1: cyclododecylammonium (WP6-G1.xyz)"
    },
    {
     "label": "B",
     "value": "G2: 4-(1,1-dimethylpiperidin-1-ium-4-yl)-1,1-dimethyl-piperidin-1-ium (WP6-G2.xyz)"
    },
    {
     "label": "C",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)"
    },
    {
     "label": "D",
     "value": "G3: norbornan-2-ylammonium (WP6-G3.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HG-DES2",
   "family": "binding_design_choice",
   "ability": "design",
   "question": "The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at pH 7.40 and 298.15 K; all complexes are 1:1. You start from guest G13 (1-methyl-4-(1-methylpyridin-1-ium-4-yl)pyridin-1-ium), whose measured binding free energy to WP6 under these conditions is -8.47 kcal/mol, and want a replacement guest that binds WP6 at least 1.8 kcal/mol more strongly (measured ΔG ≤ -10.27 kcal/mol). Exactly one of the four candidates achieves this in the measured data. Which one?",
   "scope": "主体与客体为 SAMPL9 提供的 3D 结构；答案依据实测 ITC 结合自由能（1× PBS，pH 7.40，298.15 K，1:1），证据只在审核侧。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    },
    {
     "name": "WP6-G12.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "50\nSAMPL9 WP6 guest G12 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.157 0.304 -1.041\nC -1.914 -1.454 -1.374\nC 0.565 0.036 -3.431\nC -1.195 -1.724 -3.761\nC -1.624 0.059 -1.451\nC 0.796 -0.460 -1.985\nC -0.972 -2.227 -2.319\nC -0.901 -0.211 -3.851\nC -1.801 0.586 -2.888\nC 0.505 -1.972 -1.961\nC -3.850 -0.818 -2.810\nC -3.343 0.530 -4.836\nC -4.037 1.659 -2.733\nC 0.386 -1.585 0.491\nC 2.331 -2.786 -0.484\nC 0.100 -3.879 -0.419\nN -3.225 0.491 -3.307\nN 0.823 -2.542 -0.624\nH 0.066 1.378 -1.084\nH 0.000 0.001 0.000\nH -1.796 -1.803 -0.342\nH -2.957 -1.661 -1.639\nH 0.802 1.104 -3.502\nH 1.244 -0.484 -4.119\nH -0.536 -2.269 -4.449\nH -2.220 -1.942 -4.082\nH -2.286 0.600 -0.764\nH 1.837 -0.267 -1.700\nH -1.195 -3.299 -2.272\nH -1.044 0.135 -4.882\nH -1.559 1.654 -2.935\nH 1.164 -2.500 -2.661\nH -4.890 -0.839 -3.143\nH -3.283 -1.644 -3.244\nH -3.786 -0.827 -1.721\nH -4.402 0.458 -5.091\nH -2.920 1.476 -5.180\nH -2.785 -0.318 -5.236\nH -5.070 1.543 -3.068\nH -3.970 1.609 -1.645\nH -3.603 2.586 -3.111\nH 0.640 -2.047 1.447\nH 0.924 -0.645 0.354\nH -0.692 -1.437 0.401\nH 2.511 -3.202 0.509\nH 2.630 -3.488 -1.264\nH 2.837 -1.826 -0.605\nH 0.365 -4.254 0.571\nH -0.974 -3.693 -0.494\nH 0.435 -4.564 -1.200\n"
    },
    {
     "name": "WP6-G10.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "42\nSAMPL9 WP6 guest G10 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.178 1.286 5.191\nC 0.509 1.750 6.313\nC 1.300 -0.621 5.073\nC 1.988 -0.157 6.194\nC 0.217 0.100 4.572\nC 1.593 1.028 6.814\nC -1.755 -1.829 4.982\nC -2.895 0.101 3.909\nC -2.326 -1.910 2.565\nC 0.527 0.424 9.323\nC 2.815 -0.548 9.292\nC 2.386 1.583 10.496\nC -0.522 -0.399 3.365\nC 2.329 1.525 8.012\nN -1.875 -1.009 3.705\nN 2.021 0.763 9.254\nH -1.022 1.854 4.808\nH 0.196 2.675 6.788\nH 1.616 -1.545 4.595\nH 2.831 -0.726 6.579\nH -1.018 -2.615 4.806\nH -1.431 -1.159 5.780\nH -2.737 -2.253 5.200\nH -2.960 0.670 2.980\nH -3.852 -0.365 4.151\nH -2.546 0.729 4.731\nH -2.403 -1.297 1.665\nH -1.577 -2.695 2.442\nH -3.296 -2.332 2.836\nH -0.030 1.362 9.295\nH 0.287 -0.202 8.462\nH 0.349 -0.110 10.258\nH 3.876 -0.298 9.243\nH 2.575 -1.056 10.228\nH 2.512 -1.148 8.432\nH 3.450 1.820 10.439\nH 1.781 2.492 10.487\nH 2.167 0.974 11.375\nH -0.713 0.412 2.654\nH 0.050 -1.173 2.843\nH 3.417 1.462 7.874\nH 2.088 2.575 8.228\n"
    },
    {
     "name": "WP6-G5.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "56\nSAMPL9 WP6 guest G5 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -1.578 0.689 0.408\nC -0.531 -1.591 0.597\nC -0.591 -0.414 -1.628\nC 0.607 0.407 1.623\nC 0.546 1.584 -0.601\nC 1.597 -0.697 -0.413\nC -1.373 -0.665 -0.315\nC -0.220 1.360 0.726\nC 0.826 -0.931 0.897\nC 0.766 0.236 -1.308\nC -2.727 -1.313 -0.621\nC -0.444 2.697 1.439\nC 2.984 -1.211 2.097\nC 1.860 -3.183 1.085\nC 0.885 -2.092 3.094\nC 2.864 1.119 -2.305\nC 0.705 1.399 -3.504\nC 1.741 -0.852 -3.319\nN 1.620 -1.833 1.772\nN 1.501 0.470 -2.578\nH -2.186 1.357 -0.218\nH -2.143 0.534 1.337\nH -1.074 -1.788 1.531\nH -0.381 -2.562 0.105\nH -0.442 -1.363 -2.159\nH -1.177 0.235 -2.292\nH 1.572 0.870 1.868\nH 0.082 0.243 2.574\nH -0.022 2.265 -1.248\nH 1.510 2.069 -0.397\nH 2.578 -0.249 -0.202\nH 1.779 -1.653 -0.923\nH -2.571 -2.262 -1.127\nH -3.310 -0.654 -1.261\nH -3.267 -1.484 0.307\nH 0.516 3.159 1.658\nH -0.982 2.529 2.369\nH -1.025 3.358 0.801\nH 3.525 -1.909 2.739\nH 3.512 -1.054 1.155\nH 2.806 -0.264 2.610\nH 2.445 -3.805 1.766\nH 0.887 -3.632 0.881\nH 2.407 -2.994 0.160\nH 1.507 -2.756 3.697\nH 0.741 -1.130 3.591\nH -0.073 -2.559 2.858\nH 3.361 1.269 -3.265\nH 2.686 2.072 -1.803\nH 3.436 0.441 -1.669\nH 1.286 1.538 -4.418\nH -0.252 0.920 -3.716\nH 0.562 2.348 -2.982\nH 2.282 -0.626 -4.239\nH 2.330 -1.499 -2.666\nH 0.767 -1.296 -3.534\n"
    },
    {
     "name": "WP6-G6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "27\nSAMPL9 WP6 guest G6 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.296 0.887 -0.571\nC -0.095 0.684 -2.073\nC -1.701 1.342 -0.172\nC -0.091 -0.773 -2.535\nC -2.830 0.323 -0.342\nC -1.185 -1.689 -1.988\nC -3.180 0.003 -1.797\nC -2.639 -1.335 -2.305\nN -2.845 -1.383 -3.783\nH 0.001 0.000 0.000\nH 0.390 1.684 -0.255\nH -0.812 1.271 -2.654\nH 0.887 1.098 -2.341\nH -1.667 1.619 0.890\nH -1.955 2.263 -0.713\nH -0.100 -0.795 -3.631\nH 0.873 -1.212 -2.243\nH -2.622 -0.586 0.233\nH -3.722 0.766 0.120\nH -0.991 -2.697 -2.381\nH -1.065 -1.797 -0.904\nH -4.276 -0.047 -1.870\nH -2.895 0.832 -2.453\nH -3.272 -2.138 -1.906\nH -2.077 -1.882 -4.235\nH -2.888 -0.437 -4.168\nH -3.720 -1.863 -4.006\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)"
    },
    {
     "label": "B",
     "value": "G10: trimethyl-[[4-[(trimethylammonio)methyl]phenyl]methyl]ammonium (WP6-G10.xyz)"
    },
    {
     "label": "C",
     "value": "G12: trimethyl-[6-(trimethylammonio)-2-adamantyl]ammonium (WP6-G12.xyz)"
    },
    {
     "label": "D",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QD-PEAK-C",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. At what wavelength, in nm, is its first excitonic absorption peak?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "inputs": [
    {
     "name": "CdSe-QD-C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1026\nModel zinc-blende CdSe nanocrystal CdSe-QD-C (spherical cut, no ligands), angstrom\nCd 3.4442 -4.5926 -17.8874\nCd -0.7707 -3.9752 -17.3075\nCd 6.2088 -1.3849 -17.1454\nCd -4.9857 -3.3578 -16.7277\nCd 1.9938 -0.7674 -16.5655\nCd 8.9733 1.8229 -16.4034\nCd -9.2006 -2.7404 -16.1478\nCd -2.2211 -0.1500 -15.9857\nCd 4.7584 2.4403 -15.8235\nCd -6.4361 0.4674 -15.4058\nCd 0.5434 3.0578 -15.2437\nCd 3.3136 -7.9744 -15.2360\nCd 7.5229 5.6481 -15.0815\nCd -10.6510 1.0849 -14.8260\nCd -3.6715 3.6752 -14.6638\nCd -0.9014 -7.3570 -14.6561\nCd 3.3080 6.2656 -14.5016\nCd 6.0781 -4.7666 -14.4940\nCd -7.8865 4.2926 -14.0840\nCd -5.1163 -6.7395 -14.0763\nCd -0.9070 6.8830 -13.9218\nCd 1.8632 -4.1492 -13.9141\nCd 6.0725 9.4733 -13.7596\nCd 8.8427 -1.5588 -13.7519\nCd -12.1014 4.9101 -13.5041\nCd -9.3312 -6.1221 -13.4964\nCd -5.1219 7.5004 -13.3419\nCd -2.3517 -3.5317 -13.3343\nCd 1.8576 10.0908 -13.1798\nCd 4.6278 -0.9414 -13.1721\nCd 11.6072 1.6490 -13.0099\nCd -9.3368 8.1178 -12.7621\nCd -6.5667 -2.9143 -12.7544\nCd -2.3574 10.7082 -12.5999\nCd 0.4128 -0.3240 -12.5922\nCd 3.1830 -11.3561 -12.5846\nCd 4.6221 13.2985 -12.4378\nCd 7.3923 2.2664 -12.4301\nCd 10.1625 -8.7658 -12.4224\nCd -10.7816 -2.2969 -12.1746\nCd -6.5723 11.3256 -12.0201\nCd -3.8021 0.2935 -12.0124\nCd -1.0320 -10.7387 -12.0047\nCd 0.4072 13.9160 -11.8579\nCd 3.1774 2.8838 -11.8502\nCd 5.9475 -8.1483 -11.8425\nCd 10.1569 5.4742 -11.6881\nCd 12.9270 -5.5580 -11.6804\nCd -8.0171 0.9109 -11.4325\nCd -5.2469 -10.1213 -11.4249\nCd -3.8077 14.5334 -11.2781\nCd -1.0376 3.5012 -11.2704\nCd 1.7326 -7.5309 -11.2627\nCd 5.9419 6.0916 -11.1082\nCd 8.7121 -4.9406 -11.1005\nCd -12.2320 1.5283 -10.8527\nCd -9.4619 -9.5038 -10.8450\nCd -5.2525 4.1187 -10.6905\nCd -2.4824 -6.9135 -10.6828\nCd 1.7270 6.7090 -10.5284\nCd 4.4971 -4.3231 -10.5207\nCd 8.7065 9.2994 -10.3662\nCd 11.4766 -1.7328 -10.3585\nCd -9.4675 4.7361 -10.1107\nCd -6.6973 -6.2961 -10.1030\nCd -2.4880 7.3265 -9.9485\nCd 0.2822 -3.7057 -9.9408\nCd 3.0523 -14.7379 -9.9331\nCd 4.4915 9.9168 -9.7864\nCd 7.2617 -1.1153 -9.7787\nCd 10.0318 -12.1475 -9.7710\nCd 14.2412 1.4750 -9.6165\nCd -13.6824 5.3535 -9.5308\nCd -10.9123 -5.6786 -9.5231\nCd -6.7029 7.9439 -9.3687\nCd -3.9328 -3.0883 -9.3610\nCd -1.1626 -14.1204 -9.3533\nCd 0.2766 10.5342 -9.2065\nCd 3.0467 -0.4979 -9.1988\nCd 5.8169 -11.5301 -9.1911\nCd 7.2561 13.1246 -9.0443\nCd 10.0262 2.0924 -9.0367\nCd 12.7964 -8.9397 -9.0290\nCd -15.1272 -5.0612 -8.9433\nCd -10.9179 8.5613 -8.7888\nCd -8.1477 -2.4708 -8.7811\nCd -5.3775 -13.5030 -8.7734\nCd -3.9384 11.1517 -8.6267\nCd -1.1682 0.1195 -8.6190\nCd 1.6020 -10.9126 -8.6113\nCd 3.0411 13.7420 -8.4645\nCd 5.8113 2.7099 -8.4568\nCd 8.5815 -8.3223 -8.4491\nCd 12.7908 5.3002 -8.2946\nCd 15.5610 -5.7319 -8.2870\nCd -12.3626 -1.8534 -8.2013\nCd -9.5925 -12.8856 -8.1936\nCd -8.1533 11.7691 -8.0468\nCd -5.3831 0.7369 -8.0391\nCd -2.6130 -10.2952 -8.0314\nCd -1.1738 14.3595 -7.8846\nCd 1.5963 3.3273 -7.8770\nCd 4.3665 -7.7049 -7.8693\nCd 8.5758 5.9176 -7.7148\nCd 11.3460 -5.1145 -7.7071\nCd -16.5776 -1.2360 -7.6214\nCd -9.5981 1.3544 -7.4593\nCd -6.8279 -9.6778 -7.4516\nCd -5.3888 14.9769 -7.3048\nCd -2.6186 3.9447 -7.2971\nCd 0.1516 -7.0874 -7.2894\nCd 4.3609 6.5351 -7.1349\nCd 7.1311 -4.4971 -7.1273\nCd 11.3404 9.1254 -6.9728\nCd 14.1106 -1.9067 -6.9651\nCd -13.8130 1.9718 -6.8794\nCd -11.0429 -9.0604 -6.8717\nCd -6.8335 4.5622 -6.7173\nCd -4.0634 -6.4700 -6.7096\nCd -1.2932 -17.5022 -6.7019\nCd 0.1460 7.1525 -6.5551\nCd 2.9161 -3.8797 -6.5474\nCd 5.6863 -14.9118 -6.5397\nCd 7.1255 9.7429 -6.3929\nCd 9.8956 -1.2893 -6.3852\nCd 12.6658 -12.3215 -6.3776\nCd -15.2578 -8.4429 -6.2919\nCd 16.8751 1.3010 -6.2231\nCd -11.0485 5.1796 -6.1374\nCd -8.2783 -5.8526 -6.1297\nCd -5.5082 -16.8847 -6.1220\nCd -4.0690 7.7699 -5.9752\nCd -1.2988 -3.2622 -5.9676\nCd 1.4713 -14.2944 -5.9599\nCd 2.9105 10.3603 -5.8131\nCd 5.6807 -0.6719 -5.8054\nCd 8.4508 -11.7040 -5.7977\nCd 9.8900 12.9506 -5.6509\nCd 12.6602 1.9185 -5.6432\nCd 15.4303 -9.1137 -5.6355\nCd -15.2634 5.7970 -5.5576\nCd -12.4933 -5.2351 -5.5499\nCd -8.2839 8.3874 -5.3954\nCd -5.5138 -2.6448 -5.3877\nCd -2.7436 -13.6770 -5.3800\nCd -1.3044 10.9777 -5.2332\nCd 1.4657 -0.0544 -5.2255\nCd 4.2359 -11.0866 -5.2179\nCd 5.6751 13.5681 -5.0711\nCd 8.4452 2.5359 -5.0634\nCd 11.2154 -8.4963 -5.0557\nCd -16.7082 -4.6177 -4.9700\nCd 15.4247 5.1263 -4.9012\nCd -12.4989 9.0048 -4.8155\nCd -9.7287 -2.0274 -4.8079\nCd -6.9586 -13.0595 -4.8002\nCd -5.5194 11.5951 -4.6534\nCd -2.7492 0.5630 -4.6457\nCd 0.0209 -10.4692 -4.6380\nCd 1.4601 14.1855 -4.4912\nCd 4.2303 3.1533 -4.4835\nCd 7.0004 -7.8788 -4.4758\nCd 11.2098 5.7437 -4.3214\nCd 13.9799 -5.2885 -4.3137\nCd -13.9437 -1.4099 -4.2280\nCd -11.1735 -12.4421 -4.2203\nCd -9.7343 12.2126 -4.0735\nCd -6.9642 1.1804 -4.0658\nCd -4.1940 -9.8517 -4.0582\nCd -2.7548 14.8029 -3.9114\nCd 0.0153 3.7708 -3.9037\nCd 2.7855 -7.2614 -3.8960\nCd 4.2247 17.3933 -3.7492\nCd 6.9948 6.3611 -3.7415\nCd 9.7650 -4.6710 -3.7338\nCd -18.1586 -0.7925 -3.6482\nCd 13.9743 8.9515 -3.5793\nCd 16.7445 -2.0807 -3.5717\nCd -11.1791 1.7978 -3.4860\nCd -8.4089 -9.2343 -3.4783\nCd -6.9698 15.4204 -3.3315\nCd -4.1996 4.3882 -3.3238\nCd -1.4294 -6.6440 -3.3161\nCd 1.3407 -17.6761 -3.3085\nCd 0.0097 18.0107 -3.1693\nCd 2.7799 6.9785 -3.1617\nCd 5.5500 -4.0536 -3.1540\nCd 8.3202 -15.0858 -3.1463\nCd 9.7594 9.5689 -2.9995\nCd 12.5295 -1.4633 -2.9918\nCd -15.3941 2.4153 -2.9061\nCd -12.6239 -8.6169 -2.8985\nCd -8.4146 5.0056 -2.7440\nCd -5.6444 -6.0265 -2.7363\nCd -2.8742 -17.0587 -2.7286\nCd -1.4351 7.5960 -2.5818\nCd 1.3351 -3.4362 -2.5741\nCd 4.1053 -14.4683 -2.5664\nCd 5.5444 10.1863 -2.4196\nCd 8.3146 -0.8458 -2.4120\nCd 11.0848 -11.8780 -2.4043\nCd -16.8388 -7.9995 -2.3186\nCd 12.5239 12.7767 -2.2575\nCd 15.2941 1.7445 -2.2498\nCd -12.6295 5.6231 -2.1641\nCd -9.8593 -5.4091 -2.1564\nCd -7.0892 -16.4413 -2.1488\nCd -5.6500 8.2134 -2.0020\nCd -2.8798 -2.8188 -1.9943\nCd -0.1097 -13.8509 -1.9866\nCd 1.3295 10.8038 -1.8398\nCd 4.0997 -0.2284 -1.8321\nCd 6.8698 -11.2606 -1.8244\nCd 8.3090 13.3941 -1.6776\nCd 11.0792 2.3620 -1.6699\nCd 13.8493 -8.6702 -1.6623\nCd -16.8444 6.2405 -1.5843\nCd -14.0743 -4.7917 -1.5766\nCd 18.0587 4.9523 -1.5078\nCd -9.8649 8.8308 -1.4221\nCd -7.0948 -2.2013 -1.4144\nCd -4.3246 -13.2335 -1.4067\nCd -2.8854 11.4212 -1.2599\nCd -0.1153 0.3890 -1.2523\nCd 2.6549 -10.6431 -1.2446\nCd 4.0940 14.0115 -1.0978\nCd 6.8642 2.9794 -1.0901\nCd 9.6344 -8.0528 -1.0824\nCd -18.2892 -4.1742 -0.9967\nCd 13.8437 5.5697 -0.9279\nCd 16.6139 -5.4624 -0.9203\nCd -14.0799 9.4483 -0.8423\nCd -11.3097 -1.5839 -0.8346\nCd -8.5396 -12.6161 -0.8269\nCd -7.1004 12.0386 -0.6801\nCd -4.3302 1.0065 -0.6724\nCd -1.5601 -10.0257 -0.6647\nCd -0.1209 14.6290 -0.5179\nCd 2.6493 3.5968 -0.5102\nCd 5.4194 -7.4354 -0.5026\nCd 6.8586 17.2193 -0.3558\nCd 9.6288 6.1872 -0.3481\nCd 12.3989 -4.8450 -0.3404\nCd -15.5247 -0.9665 -0.2547\nCd -12.7545 -11.9986 -0.2470\nCd 16.6083 8.7775 -0.1859\nCd -11.3153 12.6560 -0.1002\nCd -8.5452 1.6239 -0.0926\nCd -5.7750 -9.4083 -0.0849\nCd -4.3358 15.2464 0.0619\nCd -1.5657 4.2142 0.0696\nCd 1.2045 -6.8179 0.0773\nCd 3.9746 -17.8501 0.0850\nCd 2.6437 17.8368 0.2241\nCd 5.4138 6.8046 0.2318\nCd 8.1840 -4.2276 0.2394\nCd 10.9541 -15.2597 0.2471\nCd 12.3933 9.3949 0.3939\nCd 15.1635 -1.6372 0.4016\nCd -12.7601 2.2413 0.4873\nCd -9.9900 -8.7908 0.4950\nCd -8.5508 15.8638 0.6418\nCd -5.7806 4.8317 0.6494\nCd -3.0105 -6.2005 0.6571\nCd -0.2403 -17.2327 0.6648\nCd -1.5713 18.4542 0.8039\nCd 1.1989 7.4220 0.8116\nCd 3.9690 -3.6101 0.8193\nCd 6.7392 -14.6423 0.8270\nCd 8.1784 10.0124 0.9738\nCd 10.9485 -1.0198 0.9815\nCd 13.7187 -12.0519 0.9891\nCd -16.9751 2.8587 1.0671\nCd -14.2049 -8.1734 1.0748\nCd 17.9280 1.5706 1.1436\nCd -9.9956 5.4491 1.2293\nCd -7.2254 -5.5831 1.2370\nCd -4.4552 -16.6152 1.2447\nCd -3.0161 8.0394 1.3915\nCd -0.2459 -2.9927 1.3991\nCd 2.5243 -14.0249 1.4068\nCd 3.9634 10.6298 1.5536\nCd 6.7336 -0.4024 1.5613\nCd 9.5037 -11.4345 1.5690\nCd 10.9429 13.2202 1.7158\nCd 13.7131 2.1880 1.7235\nCd 16.4832 -8.8442 1.7312\nCd -14.2105 6.0665 1.8091\nCd -11.4404 -4.9656 1.8168\nCd -8.6702 -15.9978 1.8245\nCd -7.2310 8.6569 1.9713\nCd -4.4609 -2.3753 1.9790\nCd -1.6907 -13.4074 1.9867\nCd -0.2515 11.2472 2.1335\nCd 2.5186 0.2151 2.1412\nCd 5.2888 -10.8171 2.1488\nCd 6.7280 13.8376 2.2956\nCd 9.4981 2.8054 2.3033\nCd 12.2683 -8.2267 2.3110\nCd -15.6553 -4.3482 2.3967\nCd 16.4776 5.3958 2.4655\nCd -11.4460 9.2743 2.5512\nCd -8.6758 -1.7579 2.5588\nCd -5.9056 -12.7900 2.5665\nCd -4.4665 11.8647 2.7133\nCd -1.6963 0.8325 2.7210\nCd 1.0739 -10.1997 2.7287\nCd 2.5130 14.4550 2.8755\nCd 5.2832 3.4229 2.8832\nCd 8.0534 -7.6093 2.8909\nCd 12.2627 6.0132 3.0453\nCd 15.0329 -5.0190 3.0530\nCd -15.6609 9.8917 3.1310\nCd -12.8907 -1.1404 3.1387\nCd -10.1206 -12.1726 3.1464\nCd -8.6814 12.4821 3.2932\nCd -5.9112 1.4499 3.3009\nCd -3.1411 -9.5822 3.3085\nCd -1.7019 15.0724 3.4553\nCd 1.0683 4.0403 3.4630\nCd 3.8384 -6.9919 3.4707\nCd 5.2776 17.6628 3.6175\nCd 8.0477 6.6306 3.6252\nCd 10.8179 -4.4015 3.6329\nCd -17.1057 -0.5230 3.7185\nCd -14.3355 -11.5552 3.7262\nCd 15.0272 9.2210 3.7874\nCd 17.7974 -1.8112 3.7950\nCd -12.8963 13.0995 3.8730\nCd -10.1262 2.0674 3.8807\nCd -7.3560 -8.9648 3.8884\nCd -5.9169 15.6899 4.0352\nCd -3.1467 4.6577 4.0429\nCd -0.3765 -6.3744 4.0506\nCd 2.3936 -17.4066 4.0582\nCd 1.0626 18.2802 4.1974\nCd 3.8328 7.2481 4.2050\nCd 6.6030 -3.7841 4.2127\nCd 9.3731 -14.8163 4.2204\nCd 10.8123 9.8384 4.3672\nCd 13.5825 -1.1937 4.3749\nCd -14.3411 2.6848 4.4606\nCd -11.5710 -8.3474 4.4682\nCd -7.3616 5.2751 4.6227\nCd -4.5915 -5.7570 4.6304\nCd -1.8213 -16.7892 4.6381\nCd -0.3821 7.8655 4.7849\nCd 2.3880 -3.1667 4.7926\nCd 5.1582 -14.1988 4.8003\nCd 6.5974 10.4558 4.9471\nCd 9.3675 -0.5763 4.9547\nCd 12.1377 -11.6085 4.9624\nCd -15.7859 -7.7299 5.0481\nCd 16.3470 2.0140 5.1169\nCd -11.5766 5.8926 5.2026\nCd -8.8064 -5.1396 5.2103\nCd -6.0363 -16.1717 5.2179\nCd -4.5971 8.4829 5.3647\nCd -1.8269 -2.5492 5.3724\nCd 0.9432 -13.5814 5.3801\nCd 2.3824 11.0733 5.5269\nCd 5.1526 0.0411 5.5346\nCd 7.9227 -10.9910 5.5423\nCd 9.3619 13.6636 5.6891\nCd 12.1321 2.6315 5.6968\nCd 14.9022 -8.4007 5.7044\nCd -15.7915 6.5100 5.7824\nCd -13.0214 -4.5222 5.7901\nCd -8.8120 9.1004 5.9446\nCd -6.0419 -1.9318 5.9523\nCd -3.2717 -12.9640 5.9600\nCd -1.8325 11.6907 6.1068\nCd 0.9376 0.6585 6.1144\nCd 3.7078 -10.3736 6.1221\nCd 5.1470 14.2811 6.2689\nCd 7.9171 3.2489 6.2766\nCd 10.6873 -7.7833 6.2843\nCd -17.2363 -3.9047 6.3700\nCd 14.8966 5.8392 6.4388\nCd -13.0270 9.7178 6.5244\nCd -10.2568 -1.3144 6.5321\nCd -7.4866 -12.3465 6.5398\nCd -6.0475 12.3081 6.6866\nCd -3.2773 1.2760 6.6943\nCd -0.5072 -9.7562 6.7020\nCd 0.9320 14.8985 6.8488\nCd 3.7022 3.8663 6.8565\nCd 6.4723 -7.1658 6.8641\nCd 10.6817 6.4567 7.0186\nCd 13.4518 -4.5755 7.0263\nCd -14.4718 -0.6969 7.1120\nCd -11.7016 -11.7291 7.1197\nCd -10.2624 12.9256 7.2665\nCd -7.4923 1.8934 7.2741\nCd -4.7221 -9.1388 7.2818\nCd -3.2829 15.5159 7.4286\nCd -0.5128 4.4838 7.4363\nCd 2.2574 -6.5484 7.4440\nCd 6.4667 7.0741 7.5985\nCd 9.2369 -3.9581 7.6062\nCd 13.4462 9.6645 7.7606\nCd 16.2164 -1.3677 7.7683\nCd -11.7072 2.5108 7.8540\nCd -8.9370 -8.5213 7.8617\nCd -4.7277 5.1012 8.0162\nCd -1.9575 -5.9310 8.0238\nCd 0.8126 -16.9631 8.0315\nCd 2.2518 7.6915 8.1783\nCd 5.0220 -3.3406 8.1860\nCd 7.7921 -14.3728 8.1937\nCd 9.2313 10.2819 8.3405\nCd 12.0015 -0.7503 8.3482\nCd -15.9221 3.1283 8.4338\nCd -13.1520 -7.9039 8.4415\nCd -8.9426 5.7186 8.5960\nCd -6.1725 -5.3135 8.6037\nCd -3.4023 -16.3457 8.6114\nCd -1.9632 8.3090 8.7582\nCd 0.8070 -2.7232 8.7659\nCd 3.5772 -13.7554 8.7735\nCd 5.0163 10.8993 8.9203\nCd 7.7865 -0.1328 8.9280\nCd 10.5567 -11.1650 8.9357\nCd 14.7660 2.4575 9.0902\nCd -13.1576 6.3360 9.1759\nCd -10.3874 -4.6961 9.1835\nCd -6.1781 8.9264 9.3380\nCd -3.4079 -2.1058 9.3457\nCd -0.6378 -13.1379 9.3534\nCd 0.8014 11.5167 9.5002\nCd 3.5716 0.4846 9.5079\nCd 6.3417 -10.5476 9.5155\nCd 7.7809 14.1071 9.6623\nCd 10.5511 3.0749 9.6700\nCd 13.3212 -7.9572 9.6777\nCd -14.6024 -4.0787 9.7634\nCd -10.3930 9.5438 9.9179\nCd -7.6229 -1.4883 9.9256\nCd -4.8527 -12.5205 9.9332\nCd -3.4135 12.1342 10.0800\nCd -0.6434 1.1020 10.0877\nCd 2.1268 -9.9301 10.0954\nCd 3.5660 14.7245 10.2422\nCd 6.3361 3.6924 10.2499\nCd 9.1063 -7.3398 10.2576\nCd 13.3156 6.2827 10.4120\nCd -11.8378 -0.8709 10.5054\nCd -9.0677 -11.9031 10.5131\nCd -7.6285 12.7516 10.6599\nCd -4.8583 1.7194 10.6676\nCd -2.0882 -9.3127 10.6752\nCd -0.6490 15.3420 10.8220\nCd 2.1212 4.3098 10.8297\nCd 4.8913 -6.7224 10.8374\nCd 9.1007 6.9002 10.9919\nCd 11.8708 -4.1320 10.9996\nCd -9.0733 2.3369 11.2474\nCd -6.3031 -8.6953 11.2551\nCd -2.0938 4.9272 11.4096\nCd 0.6764 -6.1049 11.4173\nCd 4.8857 7.5176 11.5717\nCd 7.6559 -3.5146 11.5794\nCd 14.6354 -0.9242 11.7416\nCd -13.2882 2.9543 11.8273\nCd -10.5181 -8.0779 11.8349\nCd -6.3087 5.5447 11.9894\nCd -3.5386 -5.4875 11.9971\nCd 0.6708 8.1350 12.1516\nCd 3.4409 -2.8971 12.1593\nCd 7.6503 10.7254 12.3138\nCd 10.4204 -0.3068 12.3214\nCd -10.5237 6.1621 12.5693\nCd -7.7535 -4.8701 12.5770\nCd -3.5442 8.7524 12.7314\nCd -0.7740 -2.2797 12.7391\nCd 1.9962 -13.3119 12.7468\nCd 3.4353 11.3428 12.8936\nCd 6.2055 0.3106 12.9013\nCd 13.1850 2.9010 13.0635\nCd -11.9684 -4.2526 13.1568\nCd -7.7591 9.3699 13.3113\nCd -4.9889 -1.6623 13.3190\nCd -2.2188 -12.6945 13.3267\nCd -0.7796 11.9602 13.4735\nCd 1.9905 0.9281 13.4811\nCd 4.7607 -10.1041 13.4888\nCd 8.9700 3.5184 13.6433\nCd -9.2039 -1.0449 13.8988\nCd -2.2244 1.5455 14.0610\nCd 0.5458 -9.4867 14.0687\nCd 4.7551 4.1358 14.2232\nCd 7.5253 -6.8963 14.2308\nCd -6.4393 2.1629 14.6408\nCd -3.6692 -8.8692 14.6485\nCd 0.5402 4.7533 14.8030\nCd 3.3103 -6.2789 14.8107\nCd 7.5197 7.3436 14.9652\nCd 10.2898 -3.6885 14.9729\nCd -10.6543 2.7803 15.2207\nCd -3.6748 5.3707 15.3829\nCd -0.9046 -5.6615 15.3905\nCd 3.3047 7.9611 15.5450\nCd 6.0749 -3.0711 15.5527\nCd -7.8897 5.9881 15.9627\nCd -5.1196 -5.0440 15.9704\nCd -0.9102 8.5785 16.1249\nCd 1.8599 -2.4537 16.1326\nCd 8.8394 0.1367 16.2947\nCd -2.3550 -1.8362 16.7124\nCd 4.6245 0.7541 16.8746\nCd -6.5700 -1.2188 17.2923\nCd 0.4095 1.3715 17.4544\nCd -3.8054 1.9890 18.0343\nSe 3.8054 -1.9890 -18.0343\nSe -0.4095 -1.3715 -17.4544\nSe 6.5700 1.2188 -17.2923\nSe -4.6245 -0.7541 -16.8746\nSe 2.3550 1.8362 -16.7124\nSe -8.8394 -0.1367 -16.2947\nSe -1.8599 2.4537 -16.1326\nSe 0.9102 -8.5785 -16.1249\nSe 5.1196 5.0440 -15.9704\nSe 7.8897 -5.9881 -15.9627\nSe -6.0749 3.0711 -15.5527\nSe -3.3047 -7.9611 -15.5450\nSe 0.9046 5.6615 -15.3905\nSe 3.6748 -5.3707 -15.3829\nSe 10.6543 -2.7803 -15.2207\nSe -10.2898 3.6885 -14.9729\nSe -7.5197 -7.3436 -14.9652\nSe -3.3103 6.2789 -14.8107\nSe -0.5402 -4.7533 -14.8030\nSe 3.6692 8.8692 -14.6485\nSe 6.4393 -2.1629 -14.6408\nSe -7.5253 6.8963 -14.2308\nSe -4.7551 -4.1358 -14.2232\nSe -0.5458 9.4867 -14.0687\nSe 2.2244 -1.5455 -14.0610\nSe 9.2039 1.0449 -13.8988\nSe -8.9700 -3.5184 -13.6433\nSe -4.7607 10.1041 -13.4888\nSe -1.9905 -0.9281 -13.4811\nSe 0.7796 -11.9602 -13.4735\nSe 2.2188 12.6945 -13.3267\nSe 4.9889 1.6623 -13.3190\nSe 7.7591 -9.3699 -13.3113\nSe 11.9684 4.2526 -13.1568\nSe -13.1850 -2.9010 -13.0635\nSe -6.2055 -0.3106 -12.9013\nSe -3.4353 -11.3428 -12.8936\nSe -1.9962 13.3119 -12.7468\nSe 0.7740 2.2797 -12.7391\nSe 3.5442 -8.7524 -12.7314\nSe 7.7535 4.8701 -12.5770\nSe 10.5237 -6.1621 -12.5693\nSe -10.4204 0.3068 -12.3214\nSe -7.6503 -10.7254 -12.3138\nSe -3.4409 2.8971 -12.1593\nSe -0.6708 -8.1350 -12.1516\nSe 3.5386 5.4875 -11.9971\nSe 6.3087 -5.5447 -11.9894\nSe 10.5181 8.0779 -11.8349\nSe 13.2882 -2.9543 -11.8273\nSe -14.6354 0.9242 -11.7416\nSe -7.6559 3.5146 -11.5794\nSe -4.8857 -7.5176 -11.5717\nSe -0.6764 6.1049 -11.4173\nSe 2.0938 -4.9272 -11.4096\nSe 6.3031 8.6953 -11.2551\nSe 9.0733 -2.3369 -11.2474\nSe -11.8708 4.1320 -10.9996\nSe -9.1007 -6.9002 -10.9919\nSe -4.8913 6.7224 -10.8374\nSe -2.1212 -4.3098 -10.8297\nSe 0.6490 -15.3420 -10.8220\nSe 2.0882 9.3127 -10.6752\nSe 4.8583 -1.7194 -10.6676\nSe 7.6285 -12.7516 -10.6599\nSe 9.0677 11.9031 -10.5131\nSe 11.8378 0.8709 -10.5054\nSe -13.3156 -6.2827 -10.4120\nSe -9.1063 7.3398 -10.2576\nSe -6.3361 -3.6924 -10.2499\nSe -3.5660 -14.7245 -10.2422\nSe -2.1268 9.9301 -10.0954\nSe 0.6434 -1.1020 -10.0877\nSe 3.4135 -12.1342 -10.0800\nSe 4.8527 12.5205 -9.9332\nSe 7.6229 1.4883 -9.9256\nSe 10.3930 -9.5438 -9.9179\nSe 14.6024 4.0787 -9.7634\nSe -13.3212 7.9572 -9.6777\nSe -10.5511 -3.0749 -9.6700\nSe -7.7809 -14.1071 -9.6623\nSe -6.3417 10.5476 -9.5155\nSe -3.5716 -0.4846 -9.5079\nSe -0.8014 -11.5167 -9.5002\nSe 0.6378 13.1379 -9.3534\nSe 3.4079 2.1058 -9.3457\nSe 6.1781 -8.9264 -9.3380\nSe 10.3874 4.6961 -9.1835\nSe 13.1576 -6.3360 -9.1759\nSe -14.7660 -2.4575 -9.0902\nSe -10.5567 11.1650 -8.9357\nSe -7.7865 0.1328 -8.9280\nSe -5.0163 -10.8993 -8.9203\nSe -3.5772 13.7554 -8.7735\nSe -0.8070 2.7232 -8.7659\nSe 1.9632 -8.3090 -8.7582\nSe 3.4023 16.3457 -8.6114\nSe 6.1725 5.3135 -8.6037\nSe 8.9426 -5.7186 -8.5960\nSe 13.1520 7.9039 -8.4415\nSe 15.9221 -3.1283 -8.4338\nSe -12.0015 0.7503 -8.3482\nSe -9.2313 -10.2819 -8.3405\nSe -7.7921 14.3728 -8.1937\nSe -5.0220 3.3406 -8.1860\nSe -2.2518 -7.6915 -8.1783\nSe -0.8126 16.9631 -8.0315\nSe 1.9575 5.9310 -8.0238\nSe 4.7277 -5.1012 -8.0162\nSe 8.9370 8.5213 -7.8617\nSe 11.7072 -2.5108 -7.8540\nSe -16.2164 1.3677 -7.7683\nSe -13.4462 -9.6645 -7.7606\nSe -9.2369 3.9581 -7.6062\nSe -6.4667 -7.0741 -7.5985\nSe -2.2574 6.5484 -7.4440\nSe 0.5128 -4.4838 -7.4363\nSe 3.2829 -15.5159 -7.4286\nSe 4.7221 9.1388 -7.2818\nSe 7.4923 -1.8934 -7.2741\nSe 10.2624 -12.9256 -7.2665\nSe 11.7016 11.7291 -7.1197\nSe 14.4718 0.6969 -7.1120\nSe -13.4518 4.5755 -7.0263\nSe -10.6817 -6.4567 -7.0186\nSe -6.4723 7.1658 -6.8641\nSe -3.7022 -3.8663 -6.8565\nSe -0.9320 -14.8985 -6.8488\nSe 0.5072 9.7562 -6.7020\nSe 3.2773 -1.2760 -6.6943\nSe 6.0475 -12.3081 -6.6866\nSe 7.4866 12.3465 -6.5398\nSe 10.2568 1.3144 -6.5321\nSe 13.0270 -9.7178 -6.5244\nSe -14.8966 -5.8392 -6.4388\nSe 17.2363 3.9047 -6.3700\nSe -10.6873 7.7833 -6.2843\nSe -7.9171 -3.2489 -6.2766\nSe -5.1470 -14.2811 -6.2689\nSe -3.7078 10.3736 -6.1221\nSe -0.9376 -0.6585 -6.1144\nSe 1.8325 -11.6907 -6.1068\nSe 3.2717 12.9640 -5.9600\nSe 6.0419 1.9318 -5.9523\nSe 8.8120 -9.1004 -5.9446\nSe 13.0214 4.5222 -5.7901\nSe 15.7915 -6.5100 -5.7824\nSe -14.9022 8.4007 -5.7044\nSe -12.1321 -2.6315 -5.6968\nSe -9.3619 -13.6636 -5.6891\nSe -7.9227 10.9910 -5.5423\nSe -5.1526 -0.0411 -5.5346\nSe -2.3824 -11.0733 -5.5269\nSe -0.9432 13.5814 -5.3801\nSe 1.8269 2.5492 -5.3724\nSe 4.5971 -8.4829 -5.3647\nSe 6.0363 16.1717 -5.2179\nSe 8.8064 5.1396 -5.2103\nSe 11.5766 -5.8926 -5.2026\nSe -16.3470 -2.0140 -5.1169\nSe 15.7859 7.7299 -5.0481\nSe -12.1377 11.6085 -4.9624\nSe -9.3675 0.5763 -4.9547\nSe -6.5974 -10.4558 -4.9471\nSe -5.1582 14.1988 -4.8003\nSe -2.3880 3.1667 -4.7926\nSe 0.3821 -7.8655 -4.7849\nSe 1.8213 16.7892 -4.6381\nSe 4.5915 5.7570 -4.6304\nSe 7.3616 -5.2751 -4.6227\nSe 11.5710 8.3474 -4.4682\nSe 14.3411 -2.6848 -4.4606\nSe -13.5825 1.1937 -4.3749\nSe -10.8123 -9.8384 -4.3672\nSe -9.3731 14.8163 -4.2204\nSe -6.6030 3.7841 -4.2127\nSe -3.8328 -7.2481 -4.2050\nSe -1.0626 -18.2802 -4.1974\nSe -2.3936 17.4066 -4.0582\nSe 0.3765 6.3744 -4.0506\nSe 3.1467 -4.6577 -4.0429\nSe 5.9169 -15.6899 -4.0352\nSe 7.3560 8.9648 -3.8884\nSe 10.1262 -2.0674 -3.8807\nSe 12.8963 -13.0995 -3.8730\nSe -17.7974 1.8112 -3.7950\nSe -15.0272 -9.2210 -3.7874\nSe 14.3355 11.5552 -3.7262\nSe 17.1057 0.5230 -3.7185\nSe -10.8179 4.4015 -3.6329\nSe -8.0477 -6.6306 -3.6252\nSe -5.2776 -17.6628 -3.6175\nSe -3.8384 6.9919 -3.4707\nSe -1.0683 -4.0403 -3.4630\nSe 1.7019 -15.0724 -3.4553\nSe 3.1411 9.5822 -3.3085\nSe 5.9112 -1.4499 -3.3009\nSe 8.6814 -12.4821 -3.2932\nSe 10.1206 12.1726 -3.1464\nSe 12.8907 1.1404 -3.1387\nSe 15.6609 -9.8917 -3.1310\nSe -15.0329 5.0190 -3.0530\nSe -12.2627 -6.0132 -3.0453\nSe -8.0534 7.6093 -2.8909\nSe -5.2832 -3.4229 -2.8832\nSe -2.5130 -14.4550 -2.8755\nSe -1.0739 10.1997 -2.7287\nSe 1.6963 -0.8325 -2.7210\nSe 4.4665 -11.8647 -2.7133\nSe 5.9056 12.7900 -2.5665\nSe 8.6758 1.7579 -2.5588\nSe 11.4460 -9.2743 -2.5512\nSe -16.4776 -5.3958 -2.4655\nSe 15.6553 4.3482 -2.3967\nSe -12.2683 8.2267 -2.3110\nSe -9.4981 -2.8054 -2.3033\nSe -6.7280 -13.8376 -2.2956\nSe -5.2888 10.8171 -2.1488\nSe -2.5186 -0.2151 -2.1412\nSe 0.2515 -11.2472 -2.1335\nSe 1.6907 13.4074 -1.9867\nSe 4.4609 2.3753 -1.9790\nSe 7.2310 -8.6569 -1.9713\nSe 8.6702 15.9978 -1.8245\nSe 11.4404 4.9656 -1.8168\nSe 14.2105 -6.0665 -1.8091\nSe -16.4832 8.8442 -1.7312\nSe -13.7131 -2.1880 -1.7235\nSe -10.9429 -13.2202 -1.7158\nSe -9.5037 11.4345 -1.5690\nSe -6.7336 0.4024 -1.5613\nSe -3.9634 -10.6298 -1.5536\nSe -2.5243 14.0249 -1.4068\nSe 0.2459 2.9927 -1.3991\nSe 3.0161 -8.0394 -1.3915\nSe 4.4552 16.6152 -1.2447\nSe 7.2254 5.5831 -1.2370\nSe 9.9956 -5.4491 -1.2293\nSe -17.9280 -1.5706 -1.1436\nSe 14.2049 8.1734 -1.0748\nSe 16.9751 -2.8587 -1.0671\nSe -13.7187 12.0519 -0.9891\nSe -10.9485 1.0198 -0.9815\nSe -8.1784 -10.0124 -0.9738\nSe -6.7392 14.6423 -0.8270\nSe -3.9690 3.6101 -0.8193\nSe -1.1989 -7.4220 -0.8116\nSe 1.5713 -18.4542 -0.8039\nSe 0.2403 17.2327 -0.6648\nSe 3.0105 6.2005 -0.6571\nSe 5.7806 -4.8317 -0.6494\nSe 8.5508 -15.8638 -0.6418\nSe 9.9900 8.7908 -0.4950\nSe 12.7601 -2.2413 -0.4873\nSe -15.1635 1.6372 -0.4016\nSe -12.3933 -9.3949 -0.3939\nSe -10.9541 15.2597 -0.2471\nSe -8.1840 4.2276 -0.2394\nSe -5.4138 -6.8046 -0.2318\nSe -2.6437 -17.8368 -0.2241\nSe -3.9746 17.8501 -0.0850\nSe -1.2045 6.8179 -0.0773\nSe 1.5657 -4.2142 -0.0696\nSe 4.3358 -15.2464 -0.0619\nSe 5.7750 9.4083 0.0849\nSe 8.5452 -1.6239 0.0926\nSe 11.3153 -12.6560 0.1002\nSe -16.6083 -8.7775 0.1859\nSe 12.7545 11.9986 0.2470\nSe 15.5247 0.9665 0.2547\nSe -12.3989 4.8450 0.3404\nSe -9.6288 -6.1872 0.3481\nSe -6.8586 -17.2193 0.3558\nSe -5.4194 7.4354 0.5026\nSe -2.6493 -3.5968 0.5102\nSe 0.1209 -14.6290 0.5179\nSe 1.5601 10.0257 0.6647\nSe 4.3302 -1.0065 0.6724\nSe 7.1004 -12.0386 0.6801\nSe 8.5396 12.6161 0.8269\nSe 11.3097 1.5839 0.8346\nSe 14.0799 -9.4483 0.8423\nSe -16.6139 5.4624 0.9203\nSe -13.8437 -5.5697 0.9279\nSe 18.2892 4.1742 0.9967\nSe -9.6344 8.0528 1.0824\nSe -6.8642 -2.9794 1.0901\nSe -4.0940 -14.0115 1.0978\nSe -2.6549 10.6431 1.2446\nSe 0.1153 -0.3890 1.2523\nSe 2.8854 -11.4212 1.2599\nSe 4.3246 13.2335 1.4067\nSe 7.0948 2.2013 1.4144\nSe 9.8649 -8.8308 1.4221\nSe -18.0587 -4.9523 1.5078\nSe 14.0743 4.7917 1.5766\nSe 16.8444 -6.2405 1.5843\nSe -13.8493 8.6702 1.6623\nSe -11.0792 -2.3620 1.6699\nSe -8.3090 -13.3941 1.6776\nSe -6.8698 11.2606 1.8244\nSe -4.0997 0.2284 1.8321\nSe -1.3295 -10.8038 1.8398\nSe 0.1097 13.8509 1.9866\nSe 2.8798 2.8188 1.9943\nSe 5.6500 -8.2134 2.0020\nSe 7.0892 16.4413 2.1488\nSe 9.8593 5.4091 2.1564\nSe 12.6295 -5.6231 2.1641\nSe -15.2941 -1.7445 2.2498\nSe -12.5239 -12.7767 2.2575\nSe 16.8388 7.9995 2.3186\nSe -11.0848 11.8780 2.4043\nSe -8.3146 0.8458 2.4120\nSe -5.5444 -10.1863 2.4196\nSe -4.1053 14.4683 2.5664\nSe -1.3351 3.4362 2.5741\nSe 1.4351 -7.5960 2.5818\nSe 2.8742 17.0587 2.7286\nSe 5.6444 6.0265 2.7363\nSe 8.4146 -5.0056 2.7440\nSe 12.6239 8.6169 2.8985\nSe 15.3941 -2.4153 2.9061\nSe -12.5295 1.4633 2.9918\nSe -9.7594 -9.5689 2.9995\nSe -8.3202 15.0858 3.1463\nSe -5.5500 4.0536 3.1540\nSe -2.7799 -6.9785 3.1617\nSe -0.0097 -18.0107 3.1693\nSe -1.3407 17.6761 3.3085\nSe 1.4294 6.6440 3.3161\nSe 4.1996 -4.3882 3.3238\nSe 6.9698 -15.4204 3.3315\nSe 8.4089 9.2343 3.4783\nSe 11.1791 -1.7978 3.4860\nSe -16.7445 2.0807 3.5717\nSe -13.9743 -8.9515 3.5793\nSe 18.1586 0.7925 3.6482\nSe -9.7650 4.6710 3.7338\nSe -6.9948 -6.3611 3.7415\nSe -4.2247 -17.3933 3.7492\nSe -2.7855 7.2614 3.8960\nSe -0.0153 -3.7708 3.9037\nSe 2.7548 -14.8029 3.9114\nSe 4.1940 9.8517 4.0582\nSe 6.9642 -1.1804 4.0658\nSe 9.7343 -12.2126 4.0735\nSe 11.1735 12.4421 4.2203\nSe 13.9437 1.4099 4.2280\nSe -13.9799 5.2885 4.3137\nSe -11.2098 -5.7437 4.3214\nSe -7.0004 7.8788 4.4758\nSe -4.2303 -3.1533 4.4835\nSe -1.4601 -14.1855 4.4912\nSe -0.0209 10.4692 4.6380\nSe 2.7492 -0.5630 4.6457\nSe 5.5194 -11.5951 4.6534\nSe 6.9586 13.0595 4.8002\nSe 9.7287 2.0274 4.8079\nSe 12.4989 -9.0048 4.8155\nSe -15.4247 -5.1263 4.9012\nSe 16.7082 4.6177 4.9700\nSe -11.2154 8.4963 5.0557\nSe -8.4452 -2.5359 5.0634\nSe -5.6751 -13.5681 5.0711\nSe -4.2359 11.0866 5.2179\nSe -1.4657 0.0544 5.2255\nSe 1.3044 -10.9777 5.2332\nSe 2.7436 13.6770 5.3800\nSe 5.5138 2.6448 5.3877\nSe 8.2839 -8.3874 5.3954\nSe 12.4933 5.2351 5.5499\nSe 15.2634 -5.7970 5.5576\nSe -15.4303 9.1137 5.6355\nSe -12.6602 -1.9185 5.6432\nSe -9.8900 -12.9506 5.6509\nSe -8.4508 11.7040 5.7977\nSe -5.6807 0.6719 5.8054\nSe -2.9105 -10.3603 5.8131\nSe -1.4713 14.2944 5.9599\nSe 1.2988 3.2622 5.9676\nSe 4.0690 -7.7699 5.9752\nSe 5.5082 16.8847 6.1220\nSe 8.2783 5.8526 6.1297\nSe 11.0485 -5.1796 6.1374\nSe -16.8751 -1.3010 6.2231\nSe 15.2578 8.4429 6.2919\nSe -12.6658 12.3215 6.3776\nSe -9.8956 1.2893 6.3852\nSe -7.1255 -9.7429 6.3929\nSe -5.6863 14.9118 6.5397\nSe -2.9161 3.8797 6.5474\nSe -0.1460 -7.1525 6.5551\nSe 1.2932 17.5022 6.7019\nSe 4.0634 6.4700 6.7096\nSe 6.8335 -4.5622 6.7173\nSe 11.0429 9.0604 6.8717\nSe 13.8130 -1.9718 6.8794\nSe -14.1106 1.9067 6.9651\nSe -11.3404 -9.1254 6.9728\nSe -7.1311 4.4971 7.1273\nSe -4.3609 -6.5351 7.1349\nSe -0.1516 7.0874 7.2894\nSe 2.6186 -3.9447 7.2971\nSe 5.3888 -14.9769 7.3048\nSe 6.8279 9.6778 7.4516\nSe 9.5981 -1.3544 7.4593\nSe 16.5776 1.2360 7.6214\nSe -11.3460 5.1145 7.7071\nSe -8.5758 -5.9176 7.7148\nSe -4.3665 7.7049 7.8693\nSe -1.5963 -3.3273 7.8770\nSe 1.1738 -14.3595 7.8846\nSe 2.6130 10.2952 8.0314\nSe 5.3831 -0.7369 8.0391\nSe 8.1533 -11.7691 8.0468\nSe 9.5925 12.8856 8.1936\nSe 12.3626 1.8534 8.2013\nSe -15.5610 5.7319 8.2870\nSe -12.7908 -5.3002 8.2946\nSe -8.5815 8.3223 8.4491\nSe -5.8113 -2.7099 8.4568\nSe -3.0411 -13.7420 8.4645\nSe -1.6020 10.9126 8.6113\nSe 1.1682 -0.1195 8.6190\nSe 3.9384 -11.1517 8.6267\nSe 5.3775 13.5030 8.7734\nSe 8.1477 2.4708 8.7811\nSe 10.9179 -8.5613 8.7888\nSe 15.1272 5.0612 8.9433\nSe -12.7964 8.9397 9.0290\nSe -10.0262 -2.0924 9.0367\nSe -7.2561 -13.1246 9.0443\nSe -5.8169 11.5301 9.1911\nSe -3.0467 0.4979 9.1988\nSe -0.2766 -10.5342 9.2065\nSe 1.1626 14.1204 9.3533\nSe 3.9328 3.0883 9.3610\nSe 6.7029 -7.9439 9.3687\nSe 10.9123 5.6786 9.5231\nSe 13.6824 -5.3535 9.5308\nSe -14.2412 -1.4750 9.6165\nSe -10.0318 12.1475 9.7710\nSe -7.2617 1.1153 9.7787\nSe -4.4915 -9.9168 9.7864\nSe -3.0523 14.7379 9.9331\nSe -0.2822 3.7057 9.9408\nSe 2.4880 -7.3265 9.9485\nSe 6.6973 6.2961 10.1030\nSe 9.4675 -4.7361 10.1107\nSe -11.4766 1.7328 10.3585\nSe -8.7065 -9.2994 10.3662\nSe -4.4971 4.3231 10.5207\nSe -1.7270 -6.7090 10.5284\nSe 2.4824 6.9135 10.6828\nSe 5.2525 -4.1187 10.6905\nSe 9.4619 9.5038 10.8450\nSe 12.2320 -1.5283 10.8527\nSe -8.7121 4.9406 11.1005\nSe -5.9419 -6.0916 11.1082\nSe -1.7326 7.5309 11.2627\nSe 1.0376 -3.5012 11.2704\nSe 3.8077 -14.5334 11.2781\nSe 5.2469 10.1213 11.4249\nSe 8.0171 -0.9109 11.4325\nSe -12.9270 5.5580 11.6804\nSe -10.1569 -5.4742 11.6881\nSe -5.9475 8.1483 11.8425\nSe -3.1774 -2.8838 11.8502\nSe -0.4072 -13.9160 11.8579\nSe 1.0320 10.7387 12.0047\nSe 3.8021 -0.2935 12.0124\nSe 6.5723 -11.3256 12.0201\nSe 10.7816 2.2969 12.1746\nSe -10.1625 8.7658 12.4224\nSe -7.3923 -2.2664 12.4301\nSe -4.6221 -13.2985 12.4378\nSe -3.1830 11.3561 12.5846\nSe -0.4128 0.3240 12.5922\nSe 2.3574 -10.7082 12.5999\nSe 6.5667 2.9143 12.7544\nSe 9.3368 -8.1178 12.7621\nSe -11.6072 -1.6490 13.0099\nSe -4.6278 0.9414 13.1721\nSe -1.8576 -10.0908 13.1798\nSe 2.3517 3.5317 13.3343\nSe 5.1219 -7.5004 13.3419\nSe 9.3312 6.1221 13.4964\nSe 12.1014 -4.9101 13.5041\nSe -8.8427 1.5588 13.7519\nSe -6.0725 -9.4733 13.7596\nSe -1.8632 4.1492 13.9141\nSe 0.9070 -6.8830 13.9218\nSe 5.1163 6.7395 14.0763\nSe 7.8865 -4.2926 14.0840\nSe -6.0781 4.7666 14.4940\nSe -3.3080 -6.2656 14.5016\nSe 0.9014 7.3570 14.6561\nSe 3.6715 -3.6752 14.6638\nSe 10.6510 -1.0849 14.8260\nSe -7.5229 -5.6481 15.0815\nSe -3.3136 7.9744 15.2360\nSe -0.5434 -3.0578 15.2437\nSe 6.4361 -0.4674 15.4058\nSe -4.7584 -2.4403 15.8235\nSe 2.2211 0.1500 15.9857\nSe 9.2006 2.7404 16.1478\nSe -8.9733 -1.8229 16.4034\nSe -1.9938 0.7674 16.5655\nSe 4.9857 3.3578 16.7277\nSe -6.2088 1.3849 17.1454\nSe 0.7707 3.9752 17.3075\nSe -3.4442 4.5926 17.8874\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "440.2",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "545.2",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "578.1",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "631.4",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QD-EPS-E",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. What is its molar extinction coefficient at the first excitonic peak, in units of 10⁵ M⁻¹ cm⁻¹?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "inputs": [
    {
     "name": "CdSe-QD-E.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/qdots/CdSe-QD-E.xyz",
     "sha256": "a88b7448c3660bfa12c4a124a26b721b8914d43ceb6ef8af3d22810dcf7b95e3",
     "chars": 61608
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.092",
     "unit": "1e5 M^-1 cm^-1"
    },
    {
     "label": "B",
     "value": "4.132",
     "unit": "1e5 M^-1 cm^-1"
    },
    {
     "label": "C",
     "value": "7.250",
     "unit": "1e5 M^-1 cm^-1"
    },
    {
     "label": "D",
     "value": "17.251",
     "unit": "1e5 M^-1 cm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QD-CONC-B",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. A dilute solution of these nanocrystals has an absorbance of 0.25 at the first excitonic peak in a 1.0 cm cuvette. What is the nanocrystal concentration, in µM (Beer–Lambert law)?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "inputs": [
    {
     "name": "CdSe-QD-B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "690\nModel zinc-blende CdSe nanocrystal CdSe-QD-B (spherical cut, no ligands), angstrom\nCd -3.6668 0.8745 -15.9853\nCd 0.1799 -3.8240 -15.6794\nCd -3.3708 5.0990 -15.2439\nCd 0.4759 0.4004 -14.9380\nCd 4.3226 -4.2981 -14.6321\nCd 0.7719 4.6249 -14.1967\nCd -6.6716 -1.4548 -13.9781\nCd 4.6186 -0.0736 -13.8908\nCd -2.8249 -6.1533 -13.6722\nCd 1.0679 8.8494 -13.4553\nCd -6.3756 2.7696 -13.2368\nCd 4.9146 4.1508 -13.1494\nCd -2.5289 -1.9289 -12.9309\nCd 8.7612 -0.5477 -12.8435\nCd 1.3178 -6.6274 -12.6249\nCd -6.0796 6.9941 -12.4955\nCd 5.2106 8.3753 -12.4081\nCd -2.2329 2.2956 -12.1895\nCd 9.0572 3.6768 -12.1021\nCd -9.6763 -3.7842 -11.9710\nCd 1.6138 -2.4029 -11.8836\nCd -5.8297 -8.4827 -11.6651\nCd 5.4604 -7.1014 -11.5777\nCd -1.9369 6.5200 -11.4482\nCd -9.3803 0.4403 -11.2296\nCd 1.9098 1.8215 -11.1423\nCd -5.5337 -4.2582 -10.9237\nCd 5.7565 -2.8770 -10.8363\nCd -1.6409 10.7445 -10.7068\nCd -1.6870 -8.9567 -10.6178\nCd 9.6031 -7.5755 -10.5304\nCd -9.0843 4.6647 -10.4883\nCd 2.2058 6.0460 -10.4009\nCd -5.2377 -0.0338 -10.1824\nCd 6.0525 1.3475 -10.0950\nCd -1.3910 -4.7323 -9.8765\nCd 9.8991 -3.3510 -9.7891\nCd -8.7883 8.8892 -9.7470\nCd 2.5018 10.2704 -9.6596\nCd 2.4557 -9.4308 -9.5705\nCd -4.9417 4.1907 -9.4410\nCd 6.3485 5.5719 -9.3537\nCd -12.3851 -1.8890 -9.2225\nCd -1.0950 -0.5078 -9.1351\nCd 10.1951 0.8734 -9.0477\nCd -8.5385 -6.5876 -8.9166\nCd 2.7517 -5.2063 -8.8292\nCd -4.6457 8.4151 -8.6997\nCd 6.6445 9.7964 -8.6123\nCd -4.6918 -11.2861 -8.6106\nCd 6.5983 -9.9048 -8.5233\nCd -12.0891 2.3354 -8.4812\nCd -0.7990 3.7166 -8.3938\nCd 10.4911 5.0979 -8.3064\nCd -8.2425 -2.3631 -8.1752\nCd 3.0477 -0.9819 -8.0878\nCd 14.3378 0.3994 -8.0005\nCd -4.3497 12.6396 -7.9584\nCd -4.3958 -7.0616 -7.8693\nCd 6.8943 -5.6804 -7.7819\nCd -11.7931 6.5599 -7.7398\nCd -0.5030 7.9411 -7.6524\nCd 10.7871 9.3223 -7.5651\nCd -0.5491 -11.7601 -7.5634\nCd -7.9465 1.8614 -7.4339\nCd 3.3437 3.2426 -7.3465\nCd -4.0998 -2.8372 -7.1280\nCd 7.1903 -1.4559 -7.0406\nCd -0.2070 12.1655 -6.9111\nCd -11.5433 -8.9169 -6.9094\nCd -0.2531 -7.5357 -6.8220\nCd 11.0370 -6.1544 -6.7347\nCd -7.6505 6.0858 -6.6926\nCd 3.6397 7.4670 -6.6052\nCd 3.5935 -12.2342 -6.5161\nCd -15.0939 0.0061 -6.4740\nCd -3.8038 1.3873 -6.3866\nCd 7.4863 2.7685 -6.2992\nCd -11.2473 -4.6924 -6.1681\nCd 0.0429 -3.3112 -6.0807\nCd 11.3330 -1.9300 -5.9933\nCd -7.3545 10.3103 -5.9512\nCd 3.9357 11.6915 -5.8638\nCd -7.4006 -9.3909 -5.8622\nCd 3.8895 -8.0097 -5.7748\nCd -14.7979 4.2305 -5.7327\nCd -3.5078 5.6118 -5.6453\nCd 7.7823 6.9930 -5.5579\nCd -3.5539 -14.0894 -5.5562\nCd 7.7362 -12.7082 -5.4688\nCd -10.9513 -0.4680 -5.4267\nCd 0.3389 0.9132 -5.3394\nCd 11.6290 2.2945 -5.2520\nCd -7.1046 -5.1665 -5.1208\nCd 4.1855 -3.7853 -5.0334\nCd 15.4757 -2.4040 -4.9460\nCd -3.2118 9.8362 -4.9039\nCd 8.0783 11.2174 -4.8166\nCd -3.2579 -9.8650 -4.8149\nCd 8.0322 -8.4838 -4.7275\nCd -10.6552 3.7565 -4.6854\nCd 0.6349 5.1377 -4.5980\nCd 11.9250 6.5189 -4.5106\nCd 0.5888 -14.5635 -4.5090\nCd -6.8086 -0.9420 -4.3795\nCd 4.4815 0.4392 -4.2921\nCd 15.7717 1.8204 -4.2047\nCd -2.9158 14.0607 -4.1626\nCd -14.2520 -7.0218 -4.1609\nCd -2.9619 -5.6405 -4.0735\nCd 8.3282 -4.2593 -3.9862\nCd -10.3592 7.9809 -3.9441\nCd 0.9309 9.3622 -3.8567\nCd -10.4054 -11.7203 -3.8550\nCd 0.8848 -10.3390 -3.7676\nCd 12.1749 -8.9578 -3.6802\nCd -6.5126 3.2824 -3.6381\nCd 4.7775 4.6636 -3.5508\nCd 4.7314 -15.0376 -3.4617\nCd -13.9560 -2.7973 -3.4196\nCd -2.6659 -1.4161 -3.3322\nCd 8.6242 -0.0349 -3.2448\nCd -10.0632 12.2054 -3.2027\nCd 1.2269 13.5866 -3.1153\nCd -10.1094 -7.4958 -3.1137\nCd 1.1808 -6.1146 -3.0263\nCd 12.4709 -4.7334 -2.9389\nCd -6.2166 7.5069 -2.8968\nCd 5.0736 8.8881 -2.8094\nCd -6.2627 -12.1943 -2.8077\nCd 5.0274 -10.8131 -2.7204\nCd -13.6600 1.4271 -2.6783\nCd -2.3699 2.8084 -2.5909\nCd 8.9202 4.1896 -2.5035\nCd -9.8134 -3.2714 -2.3723\nCd 1.4768 -1.8901 -2.2849\nCd 12.7669 -0.5089 -2.1976\nCd -5.9206 11.7313 -2.1555\nCd 5.3696 13.1126 -2.0681\nCd -5.9667 -7.9699 -2.0664\nCd 5.3234 -6.5886 -1.9790\nCd -13.3640 5.6516 -1.9369\nCd -2.0739 7.0328 -1.8495\nCd 9.2162 8.4140 -1.7621\nCd -2.1200 -12.6684 -1.7605\nCd 9.1701 -11.2872 -1.6731\nCd -9.5174 0.9531 -1.6310\nCd 1.7728 2.3343 -1.5436\nCd 13.0629 3.7155 -1.4562\nCd -5.6707 -3.7454 -1.3251\nCd 5.6194 -2.3642 -1.2377\nCd -13.0680 9.8760 -1.1956\nCd -1.7779 11.2573 -1.1082\nCd -13.1142 -9.8251 -1.1065\nCd 9.5122 12.6385 -1.0208\nCd -1.8240 -8.4439 -1.0191\nCd 9.4661 -7.0627 -0.9317\nCd -9.2214 5.1775 -0.8896\nCd 2.0688 6.5588 -0.8023\nCd 13.3589 7.9400 -0.7149\nCd 2.0226 -13.1424 -0.7132\nCd -5.3747 0.4790 -0.5837\nCd 5.9154 1.8603 -0.4963\nCd -1.4819 15.4817 -0.3669\nCd -12.8182 -5.6007 -0.3652\nCd -1.5280 -4.2195 -0.2778\nCd 9.7621 -2.8382 -0.1904\nCd -8.9254 9.4020 -0.1483\nCd 2.3648 10.7832 -0.0609\nCd -8.9715 -10.2992 -0.0592\nCd 2.3186 -8.9180 0.0281\nCd 13.6088 -7.5368 0.1155\nCd -5.0787 4.7035 0.1576\nCd 6.2114 6.0847 0.2450\nCd -5.1248 -14.9977 0.2467\nCd 6.1653 -13.6165 0.3341\nCd -12.5222 -1.3762 0.3762\nCd -1.2320 0.0050 0.4635\nCd 10.0581 1.3862 0.5509\nCd -8.6294 13.6264 0.5930\nCd 2.6608 15.0077 0.6804\nCd -8.6755 -6.0748 0.6821\nCd 2.6146 -4.6935 0.7695\nCd 13.9048 -3.3123 0.8569\nCd -4.7827 8.9279 0.8990\nCd 6.5074 10.3092 0.9863\nCd -4.8288 -10.7733 0.9880\nCd 6.4613 -9.3920 1.0754\nCd -12.2262 2.8482 1.1175\nCd -0.9360 4.2294 1.2049\nCd 10.3541 5.6107 1.2923\nCd -0.9822 -15.4718 1.2939\nCd -8.3795 -1.8503 1.4234\nCd 2.9106 -0.4691 1.5108\nCd 14.2008 0.9122 1.5982\nCd -4.4867 13.1524 1.6403\nCd 6.8034 14.5336 1.7277\nCd -4.5328 -6.5488 1.7294\nCd 6.7573 -5.1676 1.8167\nCd -11.9302 7.0727 1.8588\nCd -0.6400 8.4539 1.9462\nCd 10.6501 9.8351 2.0336\nCd -0.6862 -11.2473 2.0353\nCd 10.6040 -9.8661 2.1227\nCd -8.0835 2.3742 2.1648\nCd 3.2066 3.7554 2.2522\nCd 14.4968 5.1366 2.3395\nCd 3.1605 -15.9458 2.3412\nCd -15.5269 -3.7056 2.3833\nCd -4.2368 -2.3244 2.4707\nCd 7.0533 -0.9431 2.5581\nCd -11.6342 11.2971 2.6002\nCd -0.3440 12.6783 2.6876\nCd -11.6803 -8.4041 2.6892\nCd -0.3902 -7.0229 2.7766\nCd 10.9000 -5.6416 2.8640\nCd -7.7875 6.5986 2.9061\nCd 3.5026 7.9798 2.9935\nCd -7.8336 -13.1026 2.9952\nCd 3.4565 -11.7214 3.0825\nCd -15.2309 0.5189 3.1247\nCd -3.9408 1.9001 3.2120\nCd 7.3493 3.2813 3.2994\nCd -11.3843 -4.1796 3.4306\nCd -0.0942 -2.7984 3.5180\nCd 11.1960 -1.4172 3.6053\nCd -7.4915 10.8231 3.6474\nCd 3.7986 12.2043 3.7348\nCd -7.5376 -8.8781 3.7365\nCd 3.7525 -7.4969 3.8239\nCd -14.9349 4.7433 3.8660\nCd -3.6448 6.1246 3.9534\nCd 7.6453 7.5058 4.0408\nCd -3.6909 -13.5766 4.0424\nCd 7.5992 -12.1954 4.1298\nCd -11.0883 0.0448 4.1719\nCd 0.2019 1.4260 4.2593\nCd 11.4920 2.8073 4.3467\nCd -7.2416 -4.6537 4.4778\nCd 4.0485 -3.2725 4.5652\nCd 15.3386 -1.8912 4.6526\nCd -3.3488 10.3490 4.6947\nCd 7.9413 11.7302 4.7821\nCd -3.3949 -9.3522 4.7838\nCd 7.8952 -7.9710 4.8712\nCd -10.7923 4.2693 4.9133\nCd 0.4979 5.6505 5.0006\nCd 11.7880 7.0317 5.0880\nCd 0.4517 -14.0507 5.0897\nCd -6.9456 -0.4292 5.2192\nCd 4.3445 0.9520 5.3066\nCd -3.0528 14.5735 5.4361\nCd -3.0989 -5.1277 5.5251\nCd 8.1912 -3.7465 5.6125\nCd -10.4963 8.4937 5.6546\nCd 0.7939 9.8750 5.7420\nCd -10.5424 -11.2075 5.7437\nCd 0.7477 -9.8262 5.8310\nCd 12.0379 -8.4450 5.9184\nCd -6.6496 3.7952 5.9605\nCd 4.6405 5.1764 6.0479\nCd 4.5944 -14.5248 6.1370\nCd -14.0931 -2.2845 6.1791\nCd -2.8029 -0.9033 6.2665\nCd 8.4872 0.4779 6.3538\nCd 1.0899 14.0994 6.4833\nCd -10.2464 -6.9830 6.4850\nCd 1.0437 -5.6018 6.5724\nCd 12.3339 -4.2206 6.6598\nCd -6.3536 8.0197 6.7019\nCd 4.9365 9.4009 6.7892\nCd -6.3997 -11.6815 6.7909\nCd 4.8904 -10.3003 6.8783\nCd -13.7971 1.9399 6.9204\nCd -2.5069 3.3212 7.0078\nCd 8.7832 4.7024 7.0952\nCd -9.9504 -2.7586 7.2263\nCd 1.3397 -1.3773 7.3137\nCd 12.6299 0.0039 7.4011\nCd -6.0576 12.2441 7.4432\nCd 5.2325 13.6253 7.5306\nCd -6.1037 -7.4571 7.5323\nCd 5.1864 -6.0758 7.6196\nCd -2.2109 7.5456 7.7491\nCd 9.0792 8.9268 7.8365\nCd -2.2571 -12.1556 7.8382\nCd 9.0331 -10.7744 7.9256\nCd -9.6544 1.4659 7.9677\nCd 1.6357 2.8471 8.0551\nCd 12.9259 4.2283 8.1424\nCd -5.8077 -3.2326 8.2736\nCd 5.4824 -1.8514 8.3610\nCd -1.9149 11.7701 8.4905\nCd -1.9611 -7.9311 8.5795\nCd 9.3291 -6.5499 8.6669\nCd -9.3584 5.6903 8.7090\nCd 1.9317 7.0716 8.7964\nCd 1.8856 -12.6296 8.8855\nCd -5.5117 0.9918 9.0149\nCd 5.7784 2.3731 9.1023\nCd -1.6651 -3.7067 9.3209\nCd 9.6251 -2.3254 9.4082\nCd -9.0624 9.9148 9.4504\nCd 2.2277 11.2960 9.5377\nCd -9.1085 -9.7864 9.5394\nCd 2.1816 -8.4052 9.6268\nCd -5.2157 5.2163 9.7563\nCd 6.0744 6.5975 9.8437\nCd -12.6592 -0.8634 9.9748\nCd -1.3691 0.5178 10.0622\nCd 9.9211 1.8990 10.1496\nCd -8.8125 -5.5620 10.2808\nCd 2.4776 -4.1807 10.3681\nCd -4.9197 9.4407 10.4976\nCd 6.3704 10.8220 10.5850\nCd -4.9659 -10.2605 10.5867\nCd 6.3243 -8.8792 10.6741\nCd -1.0731 4.7422 10.8035\nCd 10.2171 6.1235 10.8909\nCd -8.5165 -1.3375 11.0221\nCd 2.7736 0.0437 11.1095\nCd -4.6698 -6.0360 11.3280\nCd 6.6203 -4.6548 11.4154\nCd -0.7771 8.9667 11.5449\nCd -0.8232 -10.7345 11.6339\nCd -8.2205 2.8870 11.7634\nCd 3.0696 4.2682 11.8508\nCd -4.3738 -1.8116 12.0694\nCd 6.9163 -0.4303 12.1567\nCd -0.5272 -6.5101 12.3753\nCd -7.9245 7.1114 12.5048\nCd 3.3656 8.4926 12.5922\nCd -4.0778 2.4129 12.8107\nCd 7.2123 3.7941 12.8981\nCd -0.2312 -2.2856 13.1166\nCd 3.6155 -6.9841 13.4225\nCd -3.7818 6.6374 13.5520\nCd 0.0648 1.9388 13.8580\nCd -7.3786 -4.1409 14.0765\nCd 3.9115 -2.7597 14.1639\nCd 0.3608 6.1633 14.5993\nCd -7.0826 0.0836 14.8178\nCd 4.2075 1.4648 14.9052\nCd -3.2360 -4.6149 15.1238\nCd -2.9400 -0.3905 15.8651\nSe 2.9400 0.3905 -15.8651\nSe 3.2360 4.6149 -15.1238\nSe -4.2075 -1.4648 -14.9052\nSe 7.0826 -0.0836 -14.8178\nSe -0.3608 -6.1633 -14.5993\nSe -3.9115 2.7597 -14.1639\nSe 7.3786 4.1409 -14.0765\nSe -0.0648 -1.9388 -13.8580\nSe 3.7818 -6.6374 -13.5520\nSe -3.6155 6.9841 -13.4225\nSe 0.2312 2.2856 -13.1166\nSe -7.2123 -3.7941 -12.8981\nSe 4.0778 -2.4129 -12.8107\nSe -3.3656 -8.4926 -12.5922\nSe 7.9245 -7.1114 -12.5048\nSe 0.5272 6.5101 -12.3753\nSe -6.9163 0.4303 -12.1567\nSe 4.3738 1.8116 -12.0694\nSe -3.0696 -4.2682 -11.8508\nSe 8.2205 -2.8870 -11.7634\nSe 0.8232 10.7345 -11.6339\nSe 0.7771 -8.9667 -11.5449\nSe -6.6203 4.6548 -11.4154\nSe 4.6698 6.0360 -11.3280\nSe -2.7736 -0.0437 -11.1095\nSe 8.5165 1.3375 -11.0221\nSe -10.2171 -6.1235 -10.8909\nSe 1.0731 -4.7422 -10.8035\nSe -6.3243 8.8792 -10.6741\nSe 4.9659 10.2605 -10.5867\nSe -6.3704 -10.8220 -10.5850\nSe 4.9197 -9.4407 -10.4976\nSe -2.4776 4.1807 -10.3681\nSe 8.8125 5.5620 -10.2808\nSe -9.9211 -1.8990 -10.1496\nSe 1.3691 -0.5178 -10.0622\nSe 12.6592 0.8634 -9.9748\nSe -6.0744 -6.5975 -9.8437\nSe 5.2157 -5.2163 -9.7563\nSe -2.1816 8.4052 -9.6268\nSe 9.1085 9.7864 -9.5394\nSe -2.2277 -11.2960 -9.5377\nSe 9.0624 -9.9148 -9.4504\nSe -9.6251 2.3254 -9.4082\nSe 1.6651 3.7067 -9.3209\nSe -5.7784 -2.3731 -9.1023\nSe 5.5117 -0.9918 -9.0149\nSe -1.8856 12.6296 -8.8855\nSe -1.9317 -7.0716 -8.7964\nSe 9.3584 -5.6903 -8.7090\nSe -9.3291 6.5499 -8.6669\nSe 1.9611 7.9311 -8.5795\nSe 1.9149 -11.7701 -8.4905\nSe -5.4824 1.8514 -8.3610\nSe 5.8077 3.2326 -8.2736\nSe -12.9259 -4.2283 -8.1424\nSe -1.6357 -2.8471 -8.0551\nSe 9.6544 -1.4659 -7.9677\nSe -9.0331 10.7744 -7.9256\nSe 2.2571 12.1556 -7.8382\nSe -9.0792 -8.9268 -7.8365\nSe 2.2109 -7.5456 -7.7491\nSe -5.1864 6.0758 -7.6196\nSe 6.1037 7.4571 -7.5323\nSe -5.2325 -13.6253 -7.5306\nSe 6.0576 -12.2441 -7.4432\nSe -12.6299 -0.0039 -7.4011\nSe -1.3397 1.3773 -7.3137\nSe 9.9504 2.7586 -7.2263\nSe -8.7832 -4.7024 -7.0952\nSe 2.5069 -3.3212 -7.0078\nSe 13.7971 -1.9399 -6.9204\nSe -4.8904 10.3003 -6.8783\nSe 6.3997 11.6815 -6.7909\nSe -4.9365 -9.4009 -6.7892\nSe 6.3536 -8.0197 -6.7019\nSe -12.3339 4.2206 -6.6598\nSe -1.0437 5.6018 -6.5724\nSe 10.2464 6.9830 -6.4850\nSe -1.0899 -14.0994 -6.4833\nSe -8.4872 -0.4779 -6.3538\nSe 2.8029 0.9033 -6.2665\nSe 14.0931 2.2845 -6.1791\nSe -4.5944 14.5248 -6.1370\nSe -4.6405 -5.1764 -6.0479\nSe 6.6496 -3.7952 -5.9605\nSe -12.0379 8.4450 -5.9184\nSe -0.7477 9.8262 -5.8310\nSe 10.5424 11.2075 -5.7437\nSe -0.7939 -9.8750 -5.7420\nSe 10.4963 -8.4937 -5.6546\nSe -8.1912 3.7465 -5.6125\nSe 3.0989 5.1277 -5.5251\nSe 3.0528 -14.5735 -5.4361\nSe -4.3445 -0.9520 -5.3066\nSe 6.9456 0.4292 -5.2192\nSe -0.4517 14.0507 -5.0897\nSe -11.7880 -7.0317 -5.0880\nSe -0.4979 -5.6505 -5.0006\nSe 10.7923 -4.2693 -4.9133\nSe -7.8952 7.9710 -4.8712\nSe 3.3949 9.3522 -4.7838\nSe -7.9413 -11.7302 -4.7821\nSe 3.3488 -10.3490 -4.6947\nSe -15.3386 1.8912 -4.6526\nSe -4.0485 3.2725 -4.5652\nSe 7.2416 4.6537 -4.4778\nSe -11.4920 -2.8073 -4.3467\nSe -0.2019 -1.4260 -4.2593\nSe 11.0883 -0.0448 -4.1719\nSe -7.5992 12.1954 -4.1298\nSe 3.6909 13.5766 -4.0424\nSe -7.6453 -7.5058 -4.0408\nSe 3.6448 -6.1246 -3.9534\nSe 14.9349 -4.7433 -3.8660\nSe -3.7525 7.4969 -3.8239\nSe 7.5376 8.8781 -3.7365\nSe -3.7986 -12.2043 -3.7348\nSe 7.4915 -10.8231 -3.6474\nSe -11.1960 1.4172 -3.6053\nSe 0.0942 2.7984 -3.5180\nSe 11.3843 4.1796 -3.4306\nSe -7.3493 -3.2813 -3.2994\nSe 3.9408 -1.9001 -3.2120\nSe 15.2309 -0.5189 -3.1247\nSe -3.4565 11.7214 -3.0825\nSe 7.8336 13.1026 -2.9952\nSe -3.5026 -7.9798 -2.9935\nSe 7.7875 -6.5986 -2.9061\nSe -10.9000 5.6416 -2.8640\nSe 0.3902 7.0229 -2.7766\nSe 11.6803 8.4041 -2.6892\nSe 0.3440 -12.6783 -2.6876\nSe 11.6342 -11.2971 -2.6002\nSe -7.0533 0.9431 -2.5581\nSe 4.2368 2.3244 -2.4707\nSe 15.5269 3.7056 -2.3833\nSe -3.1605 15.9458 -2.3412\nSe -14.4968 -5.1366 -2.3395\nSe -3.2066 -3.7554 -2.2522\nSe 8.0835 -2.3742 -2.1648\nSe -10.6040 9.8661 -2.1227\nSe 0.6862 11.2473 -2.0353\nSe -10.6501 -9.8351 -2.0336\nSe 0.6400 -8.4539 -1.9462\nSe 11.9302 -7.0727 -1.8588\nSe -6.7573 5.1676 -1.8167\nSe 4.5328 6.5488 -1.7294\nSe -6.8034 -14.5336 -1.7277\nSe 4.4867 -13.1524 -1.6403\nSe -14.2008 -0.9122 -1.5982\nSe -2.9106 0.4691 -1.5108\nSe 8.3795 1.8503 -1.4234\nSe 0.9822 15.4718 -1.2939\nSe -10.3541 -5.6107 -1.2923\nSe 0.9360 -4.2294 -1.2049\nSe 12.2262 -2.8482 -1.1175\nSe -6.4613 9.3920 -1.0754\nSe 4.8288 10.7733 -0.9880\nSe -6.5074 -10.3092 -0.9863\nSe 4.7827 -8.9279 -0.8990\nSe -13.9048 3.3123 -0.8569\nSe -2.6146 4.6935 -0.7695\nSe 8.6755 6.0748 -0.6821\nSe -2.6608 -15.0077 -0.6804\nSe 8.6294 -13.6264 -0.5930\nSe -10.0581 -1.3862 -0.5509\nSe 1.2320 -0.0050 -0.4635\nSe 12.5222 1.3762 -0.3762\nSe -6.1653 13.6165 -0.3341\nSe 5.1248 14.9977 -0.2467\nSe -6.2114 -6.0847 -0.2450\nSe 5.0787 -4.7035 -0.1576\nSe -13.6088 7.5368 -0.1155\nSe -2.3186 8.9180 -0.0281\nSe 8.9715 10.2992 0.0592\nSe -2.3648 -10.7832 0.0609\nSe 8.9254 -9.4020 0.1483\nSe -9.7621 2.8382 0.1904\nSe 1.5280 4.2195 0.2778\nSe 12.8182 5.6007 0.3652\nSe 1.4819 -15.4817 0.3669\nSe -5.9154 -1.8603 0.4963\nSe 5.3747 -0.4790 0.5837\nSe -2.0226 13.1424 0.7132\nSe -13.3589 -7.9400 0.7149\nSe -2.0688 -6.5588 0.8023\nSe 9.2214 -5.1775 0.8896\nSe -9.4661 7.0627 0.9317\nSe 1.8240 8.4439 1.0191\nSe -9.5122 -12.6385 1.0208\nSe 13.1142 9.8251 1.1065\nSe 1.7779 -11.2573 1.1082\nSe 13.0680 -9.8760 1.1956\nSe -5.6194 2.3642 1.2377\nSe 5.6707 3.7454 1.3251\nSe -13.0629 -3.7155 1.4562\nSe -1.7728 -2.3343 1.5436\nSe 9.5174 -0.9531 1.6310\nSe -9.1701 11.2872 1.6731\nSe 2.1200 12.6684 1.7605\nSe -9.2162 -8.4140 1.7621\nSe 2.0739 -7.0328 1.8495\nSe 13.3640 -5.6516 1.9369\nSe -5.3234 6.5886 1.9790\nSe 5.9667 7.9699 2.0664\nSe -5.3696 -13.1126 2.0681\nSe 5.9206 -11.7313 2.1555\nSe -12.7669 0.5089 2.1976\nSe -1.4768 1.8901 2.2849\nSe 9.8134 3.2714 2.3723\nSe -8.9202 -4.1896 2.5035\nSe 2.3699 -2.8084 2.5909\nSe 13.6600 -1.4271 2.6783\nSe -5.0274 10.8131 2.7204\nSe 6.2627 12.1943 2.8077\nSe -5.0736 -8.8881 2.8094\nSe 6.2166 -7.5069 2.8968\nSe -12.4709 4.7334 2.9389\nSe -1.1808 6.1146 3.0263\nSe 10.1094 7.4958 3.1137\nSe -1.2269 -13.5866 3.1153\nSe 10.0632 -12.2054 3.2027\nSe -8.6242 0.0349 3.2448\nSe 2.6659 1.4161 3.3322\nSe 13.9560 2.7973 3.4196\nSe -4.7314 15.0376 3.4617\nSe -4.7775 -4.6636 3.5508\nSe 6.5126 -3.2824 3.6381\nSe -12.1749 8.9578 3.6802\nSe -0.8848 10.3390 3.7676\nSe 10.4054 11.7203 3.8550\nSe -0.9309 -9.3622 3.8567\nSe 10.3592 -7.9809 3.9441\nSe -8.3282 4.2593 3.9862\nSe 2.9619 5.6405 4.0735\nSe 14.2520 7.0218 4.1609\nSe 2.9158 -14.0607 4.1626\nSe -15.7717 -1.8204 4.2047\nSe -4.4815 -0.4392 4.2921\nSe 6.8086 0.9420 4.3795\nSe -0.5888 14.5635 4.5090\nSe -11.9250 -6.5189 4.5106\nSe -0.6349 -5.1377 4.5980\nSe 10.6552 -3.7565 4.6854\nSe -8.0322 8.4838 4.7275\nSe 3.2579 9.8650 4.8149\nSe -8.0783 -11.2174 4.8166\nSe 3.2118 -9.8362 4.9039\nSe -15.4757 2.4040 4.9460\nSe -4.1855 3.7853 5.0334\nSe 7.1046 5.1665 5.1208\nSe -11.6290 -2.2945 5.2520\nSe -0.3389 -0.9132 5.3394\nSe 10.9513 0.4680 5.4267\nSe -7.7362 12.7082 5.4688\nSe 3.5539 14.0894 5.5562\nSe -7.7823 -6.9930 5.5579\nSe 3.5078 -5.6118 5.6453\nSe 14.7979 -4.2305 5.7327\nSe -3.8895 8.0097 5.7748\nSe 7.4006 9.3909 5.8622\nSe -3.9357 -11.6915 5.8638\nSe 7.3545 -10.3103 5.9512\nSe -11.3330 1.9300 5.9933\nSe -0.0429 3.3112 6.0807\nSe 11.2473 4.6924 6.1681\nSe -7.4863 -2.7685 6.2992\nSe 3.8038 -1.3873 6.3866\nSe 15.0939 -0.0061 6.4740\nSe -3.5935 12.2342 6.5161\nSe -3.6397 -7.4670 6.6052\nSe 7.6505 -6.0858 6.6926\nSe -11.0370 6.1544 6.7347\nSe 0.2531 7.5357 6.8220\nSe 11.5433 8.9169 6.9094\nSe 0.2070 -12.1655 6.9111\nSe -7.1903 1.4559 7.0406\nSe 4.0998 2.8372 7.1280\nSe -3.3437 -3.2426 7.3465\nSe 7.9465 -1.8614 7.4339\nSe 0.5491 11.7601 7.5634\nSe -10.7871 -9.3223 7.5651\nSe 0.5030 -7.9411 7.6524\nSe 11.7931 -6.5599 7.7398\nSe -6.8943 5.6804 7.7819\nSe 4.3958 7.0616 7.8693\nSe 4.3497 -12.6396 7.9584\nSe -14.3378 -0.3994 8.0005\nSe -3.0477 0.9819 8.0878\nSe 8.2425 2.3631 8.1752\nSe -10.4911 -5.0979 8.3064\nSe 0.7990 -3.7166 8.3938\nSe 12.0891 -2.3354 8.4812\nSe -6.5983 9.9048 8.5233\nSe 4.6918 11.2861 8.6106\nSe -6.6445 -9.7964 8.6123\nSe 4.6457 -8.4151 8.6997\nSe -2.7517 5.2063 8.8292\nSe 8.5385 6.5876 8.9166\nSe -10.1951 -0.8734 9.0477\nSe 1.0950 0.5078 9.1351\nSe 12.3851 1.8890 9.2225\nSe -6.3485 -5.5719 9.3537\nSe 4.9417 -4.1907 9.4410\nSe -2.4557 9.4308 9.5705\nSe -2.5018 -10.2704 9.6596\nSe 8.7883 -8.8892 9.7470\nSe -9.8991 3.3510 9.7891\nSe 1.3910 4.7323 9.8765\nSe -6.0525 -1.3475 10.0950\nSe 5.2377 0.0338 10.1824\nSe -2.2058 -6.0460 10.4009\nSe 9.0843 -4.6647 10.4883\nSe -9.6031 7.5755 10.5304\nSe 1.6870 8.9567 10.6178\nSe 1.6409 -10.7445 10.7068\nSe -5.7565 2.8770 10.8363\nSe 5.5337 4.2582 10.9237\nSe -1.9098 -1.8215 11.1423\nSe 9.3803 -0.4403 11.2296\nSe 1.9369 -6.5200 11.4482\nSe -5.4604 7.1014 11.5777\nSe 5.8297 8.4827 11.6651\nSe -1.6138 2.4029 11.8836\nSe 9.6763 3.7842 11.9710\nSe -9.0572 -3.6768 12.1021\nSe 2.2329 -2.2956 12.1895\nSe -5.2106 -8.3753 12.4081\nSe 6.0796 -6.9941 12.4955\nSe -1.3178 6.6274 12.6249\nSe -8.7612 0.5477 12.8435\nSe 2.5289 1.9289 12.9309\nSe -4.9146 -4.1508 13.1494\nSe 6.3756 -2.7696 13.2368\nSe -1.0679 -8.8494 13.4553\nSe 2.8249 6.1533 13.6722\nSe -4.6186 0.0736 13.8908\nSe 6.6716 1.4548 13.9781\nSe -0.7719 -4.6249 14.1967\nSe -4.3226 4.2981 14.6321\nSe -0.4759 -0.4004 14.9380\nSe 3.3708 -5.0990 15.2439\nSe -0.1799 3.8240 15.6794\nSe 3.6668 -0.8745 15.9853\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.464",
     "unit": "uM"
    },
    {
     "label": "B",
     "value": "1.826",
     "unit": "uM"
    },
    {
     "label": "C",
     "value": "3.464",
     "unit": "uM"
    },
    {
     "label": "D",
     "value": "11.462",
     "unit": "uM"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QD-DES-590",
   "family": "qdot_design",
   "ability": "design",
   "question": "The four XYZ files list every atom of four model zinc-blende CdSe nanocrystals (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: each nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to these ideal particles. You must choose one nanocrystal for a device such that its first excitonic absorption peak is closest to 590 nm. Which file should you choose?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "inputs": [
    {
     "name": "CdSe-QD-B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "690\nModel zinc-blende CdSe nanocrystal CdSe-QD-B (spherical cut, no ligands), angstrom\nCd -3.6668 0.8745 -15.9853\nCd 0.1799 -3.8240 -15.6794\nCd -3.3708 5.0990 -15.2439\nCd 0.4759 0.4004 -14.9380\nCd 4.3226 -4.2981 -14.6321\nCd 0.7719 4.6249 -14.1967\nCd -6.6716 -1.4548 -13.9781\nCd 4.6186 -0.0736 -13.8908\nCd -2.8249 -6.1533 -13.6722\nCd 1.0679 8.8494 -13.4553\nCd -6.3756 2.7696 -13.2368\nCd 4.9146 4.1508 -13.1494\nCd -2.5289 -1.9289 -12.9309\nCd 8.7612 -0.5477 -12.8435\nCd 1.3178 -6.6274 -12.6249\nCd -6.0796 6.9941 -12.4955\nCd 5.2106 8.3753 -12.4081\nCd -2.2329 2.2956 -12.1895\nCd 9.0572 3.6768 -12.1021\nCd -9.6763 -3.7842 -11.9710\nCd 1.6138 -2.4029 -11.8836\nCd -5.8297 -8.4827 -11.6651\nCd 5.4604 -7.1014 -11.5777\nCd -1.9369 6.5200 -11.4482\nCd -9.3803 0.4403 -11.2296\nCd 1.9098 1.8215 -11.1423\nCd -5.5337 -4.2582 -10.9237\nCd 5.7565 -2.8770 -10.8363\nCd -1.6409 10.7445 -10.7068\nCd -1.6870 -8.9567 -10.6178\nCd 9.6031 -7.5755 -10.5304\nCd -9.0843 4.6647 -10.4883\nCd 2.2058 6.0460 -10.4009\nCd -5.2377 -0.0338 -10.1824\nCd 6.0525 1.3475 -10.0950\nCd -1.3910 -4.7323 -9.8765\nCd 9.8991 -3.3510 -9.7891\nCd -8.7883 8.8892 -9.7470\nCd 2.5018 10.2704 -9.6596\nCd 2.4557 -9.4308 -9.5705\nCd -4.9417 4.1907 -9.4410\nCd 6.3485 5.5719 -9.3537\nCd -12.3851 -1.8890 -9.2225\nCd -1.0950 -0.5078 -9.1351\nCd 10.1951 0.8734 -9.0477\nCd -8.5385 -6.5876 -8.9166\nCd 2.7517 -5.2063 -8.8292\nCd -4.6457 8.4151 -8.6997\nCd 6.6445 9.7964 -8.6123\nCd -4.6918 -11.2861 -8.6106\nCd 6.5983 -9.9048 -8.5233\nCd -12.0891 2.3354 -8.4812\nCd -0.7990 3.7166 -8.3938\nCd 10.4911 5.0979 -8.3064\nCd -8.2425 -2.3631 -8.1752\nCd 3.0477 -0.9819 -8.0878\nCd 14.3378 0.3994 -8.0005\nCd -4.3497 12.6396 -7.9584\nCd -4.3958 -7.0616 -7.8693\nCd 6.8943 -5.6804 -7.7819\nCd -11.7931 6.5599 -7.7398\nCd -0.5030 7.9411 -7.6524\nCd 10.7871 9.3223 -7.5651\nCd -0.5491 -11.7601 -7.5634\nCd -7.9465 1.8614 -7.4339\nCd 3.3437 3.2426 -7.3465\nCd -4.0998 -2.8372 -7.1280\nCd 7.1903 -1.4559 -7.0406\nCd -0.2070 12.1655 -6.9111\nCd -11.5433 -8.9169 -6.9094\nCd -0.2531 -7.5357 -6.8220\nCd 11.0370 -6.1544 -6.7347\nCd -7.6505 6.0858 -6.6926\nCd 3.6397 7.4670 -6.6052\nCd 3.5935 -12.2342 -6.5161\nCd -15.0939 0.0061 -6.4740\nCd -3.8038 1.3873 -6.3866\nCd 7.4863 2.7685 -6.2992\nCd -11.2473 -4.6924 -6.1681\nCd 0.0429 -3.3112 -6.0807\nCd 11.3330 -1.9300 -5.9933\nCd -7.3545 10.3103 -5.9512\nCd 3.9357 11.6915 -5.8638\nCd -7.4006 -9.3909 -5.8622\nCd 3.8895 -8.0097 -5.7748\nCd -14.7979 4.2305 -5.7327\nCd -3.5078 5.6118 -5.6453\nCd 7.7823 6.9930 -5.5579\nCd -3.5539 -14.0894 -5.5562\nCd 7.7362 -12.7082 -5.4688\nCd -10.9513 -0.4680 -5.4267\nCd 0.3389 0.9132 -5.3394\nCd 11.6290 2.2945 -5.2520\nCd -7.1046 -5.1665 -5.1208\nCd 4.1855 -3.7853 -5.0334\nCd 15.4757 -2.4040 -4.9460\nCd -3.2118 9.8362 -4.9039\nCd 8.0783 11.2174 -4.8166\nCd -3.2579 -9.8650 -4.8149\nCd 8.0322 -8.4838 -4.7275\nCd -10.6552 3.7565 -4.6854\nCd 0.6349 5.1377 -4.5980\nCd 11.9250 6.5189 -4.5106\nCd 0.5888 -14.5635 -4.5090\nCd -6.8086 -0.9420 -4.3795\nCd 4.4815 0.4392 -4.2921\nCd 15.7717 1.8204 -4.2047\nCd -2.9158 14.0607 -4.1626\nCd -14.2520 -7.0218 -4.1609\nCd -2.9619 -5.6405 -4.0735\nCd 8.3282 -4.2593 -3.9862\nCd -10.3592 7.9809 -3.9441\nCd 0.9309 9.3622 -3.8567\nCd -10.4054 -11.7203 -3.8550\nCd 0.8848 -10.3390 -3.7676\nCd 12.1749 -8.9578 -3.6802\nCd -6.5126 3.2824 -3.6381\nCd 4.7775 4.6636 -3.5508\nCd 4.7314 -15.0376 -3.4617\nCd -13.9560 -2.7973 -3.4196\nCd -2.6659 -1.4161 -3.3322\nCd 8.6242 -0.0349 -3.2448\nCd -10.0632 12.2054 -3.2027\nCd 1.2269 13.5866 -3.1153\nCd -10.1094 -7.4958 -3.1137\nCd 1.1808 -6.1146 -3.0263\nCd 12.4709 -4.7334 -2.9389\nCd -6.2166 7.5069 -2.8968\nCd 5.0736 8.8881 -2.8094\nCd -6.2627 -12.1943 -2.8077\nCd 5.0274 -10.8131 -2.7204\nCd -13.6600 1.4271 -2.6783\nCd -2.3699 2.8084 -2.5909\nCd 8.9202 4.1896 -2.5035\nCd -9.8134 -3.2714 -2.3723\nCd 1.4768 -1.8901 -2.2849\nCd 12.7669 -0.5089 -2.1976\nCd -5.9206 11.7313 -2.1555\nCd 5.3696 13.1126 -2.0681\nCd -5.9667 -7.9699 -2.0664\nCd 5.3234 -6.5886 -1.9790\nCd -13.3640 5.6516 -1.9369\nCd -2.0739 7.0328 -1.8495\nCd 9.2162 8.4140 -1.7621\nCd -2.1200 -12.6684 -1.7605\nCd 9.1701 -11.2872 -1.6731\nCd -9.5174 0.9531 -1.6310\nCd 1.7728 2.3343 -1.5436\nCd 13.0629 3.7155 -1.4562\nCd -5.6707 -3.7454 -1.3251\nCd 5.6194 -2.3642 -1.2377\nCd -13.0680 9.8760 -1.1956\nCd -1.7779 11.2573 -1.1082\nCd -13.1142 -9.8251 -1.1065\nCd 9.5122 12.6385 -1.0208\nCd -1.8240 -8.4439 -1.0191\nCd 9.4661 -7.0627 -0.9317\nCd -9.2214 5.1775 -0.8896\nCd 2.0688 6.5588 -0.8023\nCd 13.3589 7.9400 -0.7149\nCd 2.0226 -13.1424 -0.7132\nCd -5.3747 0.4790 -0.5837\nCd 5.9154 1.8603 -0.4963\nCd -1.4819 15.4817 -0.3669\nCd -12.8182 -5.6007 -0.3652\nCd -1.5280 -4.2195 -0.2778\nCd 9.7621 -2.8382 -0.1904\nCd -8.9254 9.4020 -0.1483\nCd 2.3648 10.7832 -0.0609\nCd -8.9715 -10.2992 -0.0592\nCd 2.3186 -8.9180 0.0281\nCd 13.6088 -7.5368 0.1155\nCd -5.0787 4.7035 0.1576\nCd 6.2114 6.0847 0.2450\nCd -5.1248 -14.9977 0.2467\nCd 6.1653 -13.6165 0.3341\nCd -12.5222 -1.3762 0.3762\nCd -1.2320 0.0050 0.4635\nCd 10.0581 1.3862 0.5509\nCd -8.6294 13.6264 0.5930\nCd 2.6608 15.0077 0.6804\nCd -8.6755 -6.0748 0.6821\nCd 2.6146 -4.6935 0.7695\nCd 13.9048 -3.3123 0.8569\nCd -4.7827 8.9279 0.8990\nCd 6.5074 10.3092 0.9863\nCd -4.8288 -10.7733 0.9880\nCd 6.4613 -9.3920 1.0754\nCd -12.2262 2.8482 1.1175\nCd -0.9360 4.2294 1.2049\nCd 10.3541 5.6107 1.2923\nCd -0.9822 -15.4718 1.2939\nCd -8.3795 -1.8503 1.4234\nCd 2.9106 -0.4691 1.5108\nCd 14.2008 0.9122 1.5982\nCd -4.4867 13.1524 1.6403\nCd 6.8034 14.5336 1.7277\nCd -4.5328 -6.5488 1.7294\nCd 6.7573 -5.1676 1.8167\nCd -11.9302 7.0727 1.8588\nCd -0.6400 8.4539 1.9462\nCd 10.6501 9.8351 2.0336\nCd -0.6862 -11.2473 2.0353\nCd 10.6040 -9.8661 2.1227\nCd -8.0835 2.3742 2.1648\nCd 3.2066 3.7554 2.2522\nCd 14.4968 5.1366 2.3395\nCd 3.1605 -15.9458 2.3412\nCd -15.5269 -3.7056 2.3833\nCd -4.2368 -2.3244 2.4707\nCd 7.0533 -0.9431 2.5581\nCd -11.6342 11.2971 2.6002\nCd -0.3440 12.6783 2.6876\nCd -11.6803 -8.4041 2.6892\nCd -0.3902 -7.0229 2.7766\nCd 10.9000 -5.6416 2.8640\nCd -7.7875 6.5986 2.9061\nCd 3.5026 7.9798 2.9935\nCd -7.8336 -13.1026 2.9952\nCd 3.4565 -11.7214 3.0825\nCd -15.2309 0.5189 3.1247\nCd -3.9408 1.9001 3.2120\nCd 7.3493 3.2813 3.2994\nCd -11.3843 -4.1796 3.4306\nCd -0.0942 -2.7984 3.5180\nCd 11.1960 -1.4172 3.6053\nCd -7.4915 10.8231 3.6474\nCd 3.7986 12.2043 3.7348\nCd -7.5376 -8.8781 3.7365\nCd 3.7525 -7.4969 3.8239\nCd -14.9349 4.7433 3.8660\nCd -3.6448 6.1246 3.9534\nCd 7.6453 7.5058 4.0408\nCd -3.6909 -13.5766 4.0424\nCd 7.5992 -12.1954 4.1298\nCd -11.0883 0.0448 4.1719\nCd 0.2019 1.4260 4.2593\nCd 11.4920 2.8073 4.3467\nCd -7.2416 -4.6537 4.4778\nCd 4.0485 -3.2725 4.5652\nCd 15.3386 -1.8912 4.6526\nCd -3.3488 10.3490 4.6947\nCd 7.9413 11.7302 4.7821\nCd -3.3949 -9.3522 4.7838\nCd 7.8952 -7.9710 4.8712\nCd -10.7923 4.2693 4.9133\nCd 0.4979 5.6505 5.0006\nCd 11.7880 7.0317 5.0880\nCd 0.4517 -14.0507 5.0897\nCd -6.9456 -0.4292 5.2192\nCd 4.3445 0.9520 5.3066\nCd -3.0528 14.5735 5.4361\nCd -3.0989 -5.1277 5.5251\nCd 8.1912 -3.7465 5.6125\nCd -10.4963 8.4937 5.6546\nCd 0.7939 9.8750 5.7420\nCd -10.5424 -11.2075 5.7437\nCd 0.7477 -9.8262 5.8310\nCd 12.0379 -8.4450 5.9184\nCd -6.6496 3.7952 5.9605\nCd 4.6405 5.1764 6.0479\nCd 4.5944 -14.5248 6.1370\nCd -14.0931 -2.2845 6.1791\nCd -2.8029 -0.9033 6.2665\nCd 8.4872 0.4779 6.3538\nCd 1.0899 14.0994 6.4833\nCd -10.2464 -6.9830 6.4850\nCd 1.0437 -5.6018 6.5724\nCd 12.3339 -4.2206 6.6598\nCd -6.3536 8.0197 6.7019\nCd 4.9365 9.4009 6.7892\nCd -6.3997 -11.6815 6.7909\nCd 4.8904 -10.3003 6.8783\nCd -13.7971 1.9399 6.9204\nCd -2.5069 3.3212 7.0078\nCd 8.7832 4.7024 7.0952\nCd -9.9504 -2.7586 7.2263\nCd 1.3397 -1.3773 7.3137\nCd 12.6299 0.0039 7.4011\nCd -6.0576 12.2441 7.4432\nCd 5.2325 13.6253 7.5306\nCd -6.1037 -7.4571 7.5323\nCd 5.1864 -6.0758 7.6196\nCd -2.2109 7.5456 7.7491\nCd 9.0792 8.9268 7.8365\nCd -2.2571 -12.1556 7.8382\nCd 9.0331 -10.7744 7.9256\nCd -9.6544 1.4659 7.9677\nCd 1.6357 2.8471 8.0551\nCd 12.9259 4.2283 8.1424\nCd -5.8077 -3.2326 8.2736\nCd 5.4824 -1.8514 8.3610\nCd -1.9149 11.7701 8.4905\nCd -1.9611 -7.9311 8.5795\nCd 9.3291 -6.5499 8.6669\nCd -9.3584 5.6903 8.7090\nCd 1.9317 7.0716 8.7964\nCd 1.8856 -12.6296 8.8855\nCd -5.5117 0.9918 9.0149\nCd 5.7784 2.3731 9.1023\nCd -1.6651 -3.7067 9.3209\nCd 9.6251 -2.3254 9.4082\nCd -9.0624 9.9148 9.4504\nCd 2.2277 11.2960 9.5377\nCd -9.1085 -9.7864 9.5394\nCd 2.1816 -8.4052 9.6268\nCd -5.2157 5.2163 9.7563\nCd 6.0744 6.5975 9.8437\nCd -12.6592 -0.8634 9.9748\nCd -1.3691 0.5178 10.0622\nCd 9.9211 1.8990 10.1496\nCd -8.8125 -5.5620 10.2808\nCd 2.4776 -4.1807 10.3681\nCd -4.9197 9.4407 10.4976\nCd 6.3704 10.8220 10.5850\nCd -4.9659 -10.2605 10.5867\nCd 6.3243 -8.8792 10.6741\nCd -1.0731 4.7422 10.8035\nCd 10.2171 6.1235 10.8909\nCd -8.5165 -1.3375 11.0221\nCd 2.7736 0.0437 11.1095\nCd -4.6698 -6.0360 11.3280\nCd 6.6203 -4.6548 11.4154\nCd -0.7771 8.9667 11.5449\nCd -0.8232 -10.7345 11.6339\nCd -8.2205 2.8870 11.7634\nCd 3.0696 4.2682 11.8508\nCd -4.3738 -1.8116 12.0694\nCd 6.9163 -0.4303 12.1567\nCd -0.5272 -6.5101 12.3753\nCd -7.9245 7.1114 12.5048\nCd 3.3656 8.4926 12.5922\nCd -4.0778 2.4129 12.8107\nCd 7.2123 3.7941 12.8981\nCd -0.2312 -2.2856 13.1166\nCd 3.6155 -6.9841 13.4225\nCd -3.7818 6.6374 13.5520\nCd 0.0648 1.9388 13.8580\nCd -7.3786 -4.1409 14.0765\nCd 3.9115 -2.7597 14.1639\nCd 0.3608 6.1633 14.5993\nCd -7.0826 0.0836 14.8178\nCd 4.2075 1.4648 14.9052\nCd -3.2360 -4.6149 15.1238\nCd -2.9400 -0.3905 15.8651\nSe 2.9400 0.3905 -15.8651\nSe 3.2360 4.6149 -15.1238\nSe -4.2075 -1.4648 -14.9052\nSe 7.0826 -0.0836 -14.8178\nSe -0.3608 -6.1633 -14.5993\nSe -3.9115 2.7597 -14.1639\nSe 7.3786 4.1409 -14.0765\nSe -0.0648 -1.9388 -13.8580\nSe 3.7818 -6.6374 -13.5520\nSe -3.6155 6.9841 -13.4225\nSe 0.2312 2.2856 -13.1166\nSe -7.2123 -3.7941 -12.8981\nSe 4.0778 -2.4129 -12.8107\nSe -3.3656 -8.4926 -12.5922\nSe 7.9245 -7.1114 -12.5048\nSe 0.5272 6.5101 -12.3753\nSe -6.9163 0.4303 -12.1567\nSe 4.3738 1.8116 -12.0694\nSe -3.0696 -4.2682 -11.8508\nSe 8.2205 -2.8870 -11.7634\nSe 0.8232 10.7345 -11.6339\nSe 0.7771 -8.9667 -11.5449\nSe -6.6203 4.6548 -11.4154\nSe 4.6698 6.0360 -11.3280\nSe -2.7736 -0.0437 -11.1095\nSe 8.5165 1.3375 -11.0221\nSe -10.2171 -6.1235 -10.8909\nSe 1.0731 -4.7422 -10.8035\nSe -6.3243 8.8792 -10.6741\nSe 4.9659 10.2605 -10.5867\nSe -6.3704 -10.8220 -10.5850\nSe 4.9197 -9.4407 -10.4976\nSe -2.4776 4.1807 -10.3681\nSe 8.8125 5.5620 -10.2808\nSe -9.9211 -1.8990 -10.1496\nSe 1.3691 -0.5178 -10.0622\nSe 12.6592 0.8634 -9.9748\nSe -6.0744 -6.5975 -9.8437\nSe 5.2157 -5.2163 -9.7563\nSe -2.1816 8.4052 -9.6268\nSe 9.1085 9.7864 -9.5394\nSe -2.2277 -11.2960 -9.5377\nSe 9.0624 -9.9148 -9.4504\nSe -9.6251 2.3254 -9.4082\nSe 1.6651 3.7067 -9.3209\nSe -5.7784 -2.3731 -9.1023\nSe 5.5117 -0.9918 -9.0149\nSe -1.8856 12.6296 -8.8855\nSe -1.9317 -7.0716 -8.7964\nSe 9.3584 -5.6903 -8.7090\nSe -9.3291 6.5499 -8.6669\nSe 1.9611 7.9311 -8.5795\nSe 1.9149 -11.7701 -8.4905\nSe -5.4824 1.8514 -8.3610\nSe 5.8077 3.2326 -8.2736\nSe -12.9259 -4.2283 -8.1424\nSe -1.6357 -2.8471 -8.0551\nSe 9.6544 -1.4659 -7.9677\nSe -9.0331 10.7744 -7.9256\nSe 2.2571 12.1556 -7.8382\nSe -9.0792 -8.9268 -7.8365\nSe 2.2109 -7.5456 -7.7491\nSe -5.1864 6.0758 -7.6196\nSe 6.1037 7.4571 -7.5323\nSe -5.2325 -13.6253 -7.5306\nSe 6.0576 -12.2441 -7.4432\nSe -12.6299 -0.0039 -7.4011\nSe -1.3397 1.3773 -7.3137\nSe 9.9504 2.7586 -7.2263\nSe -8.7832 -4.7024 -7.0952\nSe 2.5069 -3.3212 -7.0078\nSe 13.7971 -1.9399 -6.9204\nSe -4.8904 10.3003 -6.8783\nSe 6.3997 11.6815 -6.7909\nSe -4.9365 -9.4009 -6.7892\nSe 6.3536 -8.0197 -6.7019\nSe -12.3339 4.2206 -6.6598\nSe -1.0437 5.6018 -6.5724\nSe 10.2464 6.9830 -6.4850\nSe -1.0899 -14.0994 -6.4833\nSe -8.4872 -0.4779 -6.3538\nSe 2.8029 0.9033 -6.2665\nSe 14.0931 2.2845 -6.1791\nSe -4.5944 14.5248 -6.1370\nSe -4.6405 -5.1764 -6.0479\nSe 6.6496 -3.7952 -5.9605\nSe -12.0379 8.4450 -5.9184\nSe -0.7477 9.8262 -5.8310\nSe 10.5424 11.2075 -5.7437\nSe -0.7939 -9.8750 -5.7420\nSe 10.4963 -8.4937 -5.6546\nSe -8.1912 3.7465 -5.6125\nSe 3.0989 5.1277 -5.5251\nSe 3.0528 -14.5735 -5.4361\nSe -4.3445 -0.9520 -5.3066\nSe 6.9456 0.4292 -5.2192\nSe -0.4517 14.0507 -5.0897\nSe -11.7880 -7.0317 -5.0880\nSe -0.4979 -5.6505 -5.0006\nSe 10.7923 -4.2693 -4.9133\nSe -7.8952 7.9710 -4.8712\nSe 3.3949 9.3522 -4.7838\nSe -7.9413 -11.7302 -4.7821\nSe 3.3488 -10.3490 -4.6947\nSe -15.3386 1.8912 -4.6526\nSe -4.0485 3.2725 -4.5652\nSe 7.2416 4.6537 -4.4778\nSe -11.4920 -2.8073 -4.3467\nSe -0.2019 -1.4260 -4.2593\nSe 11.0883 -0.0448 -4.1719\nSe -7.5992 12.1954 -4.1298\nSe 3.6909 13.5766 -4.0424\nSe -7.6453 -7.5058 -4.0408\nSe 3.6448 -6.1246 -3.9534\nSe 14.9349 -4.7433 -3.8660\nSe -3.7525 7.4969 -3.8239\nSe 7.5376 8.8781 -3.7365\nSe -3.7986 -12.2043 -3.7348\nSe 7.4915 -10.8231 -3.6474\nSe -11.1960 1.4172 -3.6053\nSe 0.0942 2.7984 -3.5180\nSe 11.3843 4.1796 -3.4306\nSe -7.3493 -3.2813 -3.2994\nSe 3.9408 -1.9001 -3.2120\nSe 15.2309 -0.5189 -3.1247\nSe -3.4565 11.7214 -3.0825\nSe 7.8336 13.1026 -2.9952\nSe -3.5026 -7.9798 -2.9935\nSe 7.7875 -6.5986 -2.9061\nSe -10.9000 5.6416 -2.8640\nSe 0.3902 7.0229 -2.7766\nSe 11.6803 8.4041 -2.6892\nSe 0.3440 -12.6783 -2.6876\nSe 11.6342 -11.2971 -2.6002\nSe -7.0533 0.9431 -2.5581\nSe 4.2368 2.3244 -2.4707\nSe 15.5269 3.7056 -2.3833\nSe -3.1605 15.9458 -2.3412\nSe -14.4968 -5.1366 -2.3395\nSe -3.2066 -3.7554 -2.2522\nSe 8.0835 -2.3742 -2.1648\nSe -10.6040 9.8661 -2.1227\nSe 0.6862 11.2473 -2.0353\nSe -10.6501 -9.8351 -2.0336\nSe 0.6400 -8.4539 -1.9462\nSe 11.9302 -7.0727 -1.8588\nSe -6.7573 5.1676 -1.8167\nSe 4.5328 6.5488 -1.7294\nSe -6.8034 -14.5336 -1.7277\nSe 4.4867 -13.1524 -1.6403\nSe -14.2008 -0.9122 -1.5982\nSe -2.9106 0.4691 -1.5108\nSe 8.3795 1.8503 -1.4234\nSe 0.9822 15.4718 -1.2939\nSe -10.3541 -5.6107 -1.2923\nSe 0.9360 -4.2294 -1.2049\nSe 12.2262 -2.8482 -1.1175\nSe -6.4613 9.3920 -1.0754\nSe 4.8288 10.7733 -0.9880\nSe -6.5074 -10.3092 -0.9863\nSe 4.7827 -8.9279 -0.8990\nSe -13.9048 3.3123 -0.8569\nSe -2.6146 4.6935 -0.7695\nSe 8.6755 6.0748 -0.6821\nSe -2.6608 -15.0077 -0.6804\nSe 8.6294 -13.6264 -0.5930\nSe -10.0581 -1.3862 -0.5509\nSe 1.2320 -0.0050 -0.4635\nSe 12.5222 1.3762 -0.3762\nSe -6.1653 13.6165 -0.3341\nSe 5.1248 14.9977 -0.2467\nSe -6.2114 -6.0847 -0.2450\nSe 5.0787 -4.7035 -0.1576\nSe -13.6088 7.5368 -0.1155\nSe -2.3186 8.9180 -0.0281\nSe 8.9715 10.2992 0.0592\nSe -2.3648 -10.7832 0.0609\nSe 8.9254 -9.4020 0.1483\nSe -9.7621 2.8382 0.1904\nSe 1.5280 4.2195 0.2778\nSe 12.8182 5.6007 0.3652\nSe 1.4819 -15.4817 0.3669\nSe -5.9154 -1.8603 0.4963\nSe 5.3747 -0.4790 0.5837\nSe -2.0226 13.1424 0.7132\nSe -13.3589 -7.9400 0.7149\nSe -2.0688 -6.5588 0.8023\nSe 9.2214 -5.1775 0.8896\nSe -9.4661 7.0627 0.9317\nSe 1.8240 8.4439 1.0191\nSe -9.5122 -12.6385 1.0208\nSe 13.1142 9.8251 1.1065\nSe 1.7779 -11.2573 1.1082\nSe 13.0680 -9.8760 1.1956\nSe -5.6194 2.3642 1.2377\nSe 5.6707 3.7454 1.3251\nSe -13.0629 -3.7155 1.4562\nSe -1.7728 -2.3343 1.5436\nSe 9.5174 -0.9531 1.6310\nSe -9.1701 11.2872 1.6731\nSe 2.1200 12.6684 1.7605\nSe -9.2162 -8.4140 1.7621\nSe 2.0739 -7.0328 1.8495\nSe 13.3640 -5.6516 1.9369\nSe -5.3234 6.5886 1.9790\nSe 5.9667 7.9699 2.0664\nSe -5.3696 -13.1126 2.0681\nSe 5.9206 -11.7313 2.1555\nSe -12.7669 0.5089 2.1976\nSe -1.4768 1.8901 2.2849\nSe 9.8134 3.2714 2.3723\nSe -8.9202 -4.1896 2.5035\nSe 2.3699 -2.8084 2.5909\nSe 13.6600 -1.4271 2.6783\nSe -5.0274 10.8131 2.7204\nSe 6.2627 12.1943 2.8077\nSe -5.0736 -8.8881 2.8094\nSe 6.2166 -7.5069 2.8968\nSe -12.4709 4.7334 2.9389\nSe -1.1808 6.1146 3.0263\nSe 10.1094 7.4958 3.1137\nSe -1.2269 -13.5866 3.1153\nSe 10.0632 -12.2054 3.2027\nSe -8.6242 0.0349 3.2448\nSe 2.6659 1.4161 3.3322\nSe 13.9560 2.7973 3.4196\nSe -4.7314 15.0376 3.4617\nSe -4.7775 -4.6636 3.5508\nSe 6.5126 -3.2824 3.6381\nSe -12.1749 8.9578 3.6802\nSe -0.8848 10.3390 3.7676\nSe 10.4054 11.7203 3.8550\nSe -0.9309 -9.3622 3.8567\nSe 10.3592 -7.9809 3.9441\nSe -8.3282 4.2593 3.9862\nSe 2.9619 5.6405 4.0735\nSe 14.2520 7.0218 4.1609\nSe 2.9158 -14.0607 4.1626\nSe -15.7717 -1.8204 4.2047\nSe -4.4815 -0.4392 4.2921\nSe 6.8086 0.9420 4.3795\nSe -0.5888 14.5635 4.5090\nSe -11.9250 -6.5189 4.5106\nSe -0.6349 -5.1377 4.5980\nSe 10.6552 -3.7565 4.6854\nSe -8.0322 8.4838 4.7275\nSe 3.2579 9.8650 4.8149\nSe -8.0783 -11.2174 4.8166\nSe 3.2118 -9.8362 4.9039\nSe -15.4757 2.4040 4.9460\nSe -4.1855 3.7853 5.0334\nSe 7.1046 5.1665 5.1208\nSe -11.6290 -2.2945 5.2520\nSe -0.3389 -0.9132 5.3394\nSe 10.9513 0.4680 5.4267\nSe -7.7362 12.7082 5.4688\nSe 3.5539 14.0894 5.5562\nSe -7.7823 -6.9930 5.5579\nSe 3.5078 -5.6118 5.6453\nSe 14.7979 -4.2305 5.7327\nSe -3.8895 8.0097 5.7748\nSe 7.4006 9.3909 5.8622\nSe -3.9357 -11.6915 5.8638\nSe 7.3545 -10.3103 5.9512\nSe -11.3330 1.9300 5.9933\nSe -0.0429 3.3112 6.0807\nSe 11.2473 4.6924 6.1681\nSe -7.4863 -2.7685 6.2992\nSe 3.8038 -1.3873 6.3866\nSe 15.0939 -0.0061 6.4740\nSe -3.5935 12.2342 6.5161\nSe -3.6397 -7.4670 6.6052\nSe 7.6505 -6.0858 6.6926\nSe -11.0370 6.1544 6.7347\nSe 0.2531 7.5357 6.8220\nSe 11.5433 8.9169 6.9094\nSe 0.2070 -12.1655 6.9111\nSe -7.1903 1.4559 7.0406\nSe 4.0998 2.8372 7.1280\nSe -3.3437 -3.2426 7.3465\nSe 7.9465 -1.8614 7.4339\nSe 0.5491 11.7601 7.5634\nSe -10.7871 -9.3223 7.5651\nSe 0.5030 -7.9411 7.6524\nSe 11.7931 -6.5599 7.7398\nSe -6.8943 5.6804 7.7819\nSe 4.3958 7.0616 7.8693\nSe 4.3497 -12.6396 7.9584\nSe -14.3378 -0.3994 8.0005\nSe -3.0477 0.9819 8.0878\nSe 8.2425 2.3631 8.1752\nSe -10.4911 -5.0979 8.3064\nSe 0.7990 -3.7166 8.3938\nSe 12.0891 -2.3354 8.4812\nSe -6.5983 9.9048 8.5233\nSe 4.6918 11.2861 8.6106\nSe -6.6445 -9.7964 8.6123\nSe 4.6457 -8.4151 8.6997\nSe -2.7517 5.2063 8.8292\nSe 8.5385 6.5876 8.9166\nSe -10.1951 -0.8734 9.0477\nSe 1.0950 0.5078 9.1351\nSe 12.3851 1.8890 9.2225\nSe -6.3485 -5.5719 9.3537\nSe 4.9417 -4.1907 9.4410\nSe -2.4557 9.4308 9.5705\nSe -2.5018 -10.2704 9.6596\nSe 8.7883 -8.8892 9.7470\nSe -9.8991 3.3510 9.7891\nSe 1.3910 4.7323 9.8765\nSe -6.0525 -1.3475 10.0950\nSe 5.2377 0.0338 10.1824\nSe -2.2058 -6.0460 10.4009\nSe 9.0843 -4.6647 10.4883\nSe -9.6031 7.5755 10.5304\nSe 1.6870 8.9567 10.6178\nSe 1.6409 -10.7445 10.7068\nSe -5.7565 2.8770 10.8363\nSe 5.5337 4.2582 10.9237\nSe -1.9098 -1.8215 11.1423\nSe 9.3803 -0.4403 11.2296\nSe 1.9369 -6.5200 11.4482\nSe -5.4604 7.1014 11.5777\nSe 5.8297 8.4827 11.6651\nSe -1.6138 2.4029 11.8836\nSe 9.6763 3.7842 11.9710\nSe -9.0572 -3.6768 12.1021\nSe 2.2329 -2.2956 12.1895\nSe -5.2106 -8.3753 12.4081\nSe 6.0796 -6.9941 12.4955\nSe -1.3178 6.6274 12.6249\nSe -8.7612 0.5477 12.8435\nSe 2.5289 1.9289 12.9309\nSe -4.9146 -4.1508 13.1494\nSe 6.3756 -2.7696 13.2368\nSe -1.0679 -8.8494 13.4553\nSe 2.8249 6.1533 13.6722\nSe -4.6186 0.0736 13.8908\nSe 6.6716 1.4548 13.9781\nSe -0.7719 -4.6249 14.1967\nSe -4.3226 4.2981 14.6321\nSe -0.4759 -0.4004 14.9380\nSe 3.3708 -5.0990 15.2439\nSe -0.1799 3.8240 15.6794\nSe 3.6668 -0.8745 15.9853\n"
    },
    {
     "name": "CdSe-QD-C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1026\nModel zinc-blende CdSe nanocrystal CdSe-QD-C (spherical cut, no ligands), angstrom\nCd 3.4442 -4.5926 -17.8874\nCd -0.7707 -3.9752 -17.3075\nCd 6.2088 -1.3849 -17.1454\nCd -4.9857 -3.3578 -16.7277\nCd 1.9938 -0.7674 -16.5655\nCd 8.9733 1.8229 -16.4034\nCd -9.2006 -2.7404 -16.1478\nCd -2.2211 -0.1500 -15.9857\nCd 4.7584 2.4403 -15.8235\nCd -6.4361 0.4674 -15.4058\nCd 0.5434 3.0578 -15.2437\nCd 3.3136 -7.9744 -15.2360\nCd 7.5229 5.6481 -15.0815\nCd -10.6510 1.0849 -14.8260\nCd -3.6715 3.6752 -14.6638\nCd -0.9014 -7.3570 -14.6561\nCd 3.3080 6.2656 -14.5016\nCd 6.0781 -4.7666 -14.4940\nCd -7.8865 4.2926 -14.0840\nCd -5.1163 -6.7395 -14.0763\nCd -0.9070 6.8830 -13.9218\nCd 1.8632 -4.1492 -13.9141\nCd 6.0725 9.4733 -13.7596\nCd 8.8427 -1.5588 -13.7519\nCd -12.1014 4.9101 -13.5041\nCd -9.3312 -6.1221 -13.4964\nCd -5.1219 7.5004 -13.3419\nCd -2.3517 -3.5317 -13.3343\nCd 1.8576 10.0908 -13.1798\nCd 4.6278 -0.9414 -13.1721\nCd 11.6072 1.6490 -13.0099\nCd -9.3368 8.1178 -12.7621\nCd -6.5667 -2.9143 -12.7544\nCd -2.3574 10.7082 -12.5999\nCd 0.4128 -0.3240 -12.5922\nCd 3.1830 -11.3561 -12.5846\nCd 4.6221 13.2985 -12.4378\nCd 7.3923 2.2664 -12.4301\nCd 10.1625 -8.7658 -12.4224\nCd -10.7816 -2.2969 -12.1746\nCd -6.5723 11.3256 -12.0201\nCd -3.8021 0.2935 -12.0124\nCd -1.0320 -10.7387 -12.0047\nCd 0.4072 13.9160 -11.8579\nCd 3.1774 2.8838 -11.8502\nCd 5.9475 -8.1483 -11.8425\nCd 10.1569 5.4742 -11.6881\nCd 12.9270 -5.5580 -11.6804\nCd -8.0171 0.9109 -11.4325\nCd -5.2469 -10.1213 -11.4249\nCd -3.8077 14.5334 -11.2781\nCd -1.0376 3.5012 -11.2704\nCd 1.7326 -7.5309 -11.2627\nCd 5.9419 6.0916 -11.1082\nCd 8.7121 -4.9406 -11.1005\nCd -12.2320 1.5283 -10.8527\nCd -9.4619 -9.5038 -10.8450\nCd -5.2525 4.1187 -10.6905\nCd -2.4824 -6.9135 -10.6828\nCd 1.7270 6.7090 -10.5284\nCd 4.4971 -4.3231 -10.5207\nCd 8.7065 9.2994 -10.3662\nCd 11.4766 -1.7328 -10.3585\nCd -9.4675 4.7361 -10.1107\nCd -6.6973 -6.2961 -10.1030\nCd -2.4880 7.3265 -9.9485\nCd 0.2822 -3.7057 -9.9408\nCd 3.0523 -14.7379 -9.9331\nCd 4.4915 9.9168 -9.7864\nCd 7.2617 -1.1153 -9.7787\nCd 10.0318 -12.1475 -9.7710\nCd 14.2412 1.4750 -9.6165\nCd -13.6824 5.3535 -9.5308\nCd -10.9123 -5.6786 -9.5231\nCd -6.7029 7.9439 -9.3687\nCd -3.9328 -3.0883 -9.3610\nCd -1.1626 -14.1204 -9.3533\nCd 0.2766 10.5342 -9.2065\nCd 3.0467 -0.4979 -9.1988\nCd 5.8169 -11.5301 -9.1911\nCd 7.2561 13.1246 -9.0443\nCd 10.0262 2.0924 -9.0367\nCd 12.7964 -8.9397 -9.0290\nCd -15.1272 -5.0612 -8.9433\nCd -10.9179 8.5613 -8.7888\nCd -8.1477 -2.4708 -8.7811\nCd -5.3775 -13.5030 -8.7734\nCd -3.9384 11.1517 -8.6267\nCd -1.1682 0.1195 -8.6190\nCd 1.6020 -10.9126 -8.6113\nCd 3.0411 13.7420 -8.4645\nCd 5.8113 2.7099 -8.4568\nCd 8.5815 -8.3223 -8.4491\nCd 12.7908 5.3002 -8.2946\nCd 15.5610 -5.7319 -8.2870\nCd -12.3626 -1.8534 -8.2013\nCd -9.5925 -12.8856 -8.1936\nCd -8.1533 11.7691 -8.0468\nCd -5.3831 0.7369 -8.0391\nCd -2.6130 -10.2952 -8.0314\nCd -1.1738 14.3595 -7.8846\nCd 1.5963 3.3273 -7.8770\nCd 4.3665 -7.7049 -7.8693\nCd 8.5758 5.9176 -7.7148\nCd 11.3460 -5.1145 -7.7071\nCd -16.5776 -1.2360 -7.6214\nCd -9.5981 1.3544 -7.4593\nCd -6.8279 -9.6778 -7.4516\nCd -5.3888 14.9769 -7.3048\nCd -2.6186 3.9447 -7.2971\nCd 0.1516 -7.0874 -7.2894\nCd 4.3609 6.5351 -7.1349\nCd 7.1311 -4.4971 -7.1273\nCd 11.3404 9.1254 -6.9728\nCd 14.1106 -1.9067 -6.9651\nCd -13.8130 1.9718 -6.8794\nCd -11.0429 -9.0604 -6.8717\nCd -6.8335 4.5622 -6.7173\nCd -4.0634 -6.4700 -6.7096\nCd -1.2932 -17.5022 -6.7019\nCd 0.1460 7.1525 -6.5551\nCd 2.9161 -3.8797 -6.5474\nCd 5.6863 -14.9118 -6.5397\nCd 7.1255 9.7429 -6.3929\nCd 9.8956 -1.2893 -6.3852\nCd 12.6658 -12.3215 -6.3776\nCd -15.2578 -8.4429 -6.2919\nCd 16.8751 1.3010 -6.2231\nCd -11.0485 5.1796 -6.1374\nCd -8.2783 -5.8526 -6.1297\nCd -5.5082 -16.8847 -6.1220\nCd -4.0690 7.7699 -5.9752\nCd -1.2988 -3.2622 -5.9676\nCd 1.4713 -14.2944 -5.9599\nCd 2.9105 10.3603 -5.8131\nCd 5.6807 -0.6719 -5.8054\nCd 8.4508 -11.7040 -5.7977\nCd 9.8900 12.9506 -5.6509\nCd 12.6602 1.9185 -5.6432\nCd 15.4303 -9.1137 -5.6355\nCd -15.2634 5.7970 -5.5576\nCd -12.4933 -5.2351 -5.5499\nCd -8.2839 8.3874 -5.3954\nCd -5.5138 -2.6448 -5.3877\nCd -2.7436 -13.6770 -5.3800\nCd -1.3044 10.9777 -5.2332\nCd 1.4657 -0.0544 -5.2255\nCd 4.2359 -11.0866 -5.2179\nCd 5.6751 13.5681 -5.0711\nCd 8.4452 2.5359 -5.0634\nCd 11.2154 -8.4963 -5.0557\nCd -16.7082 -4.6177 -4.9700\nCd 15.4247 5.1263 -4.9012\nCd -12.4989 9.0048 -4.8155\nCd -9.7287 -2.0274 -4.8079\nCd -6.9586 -13.0595 -4.8002\nCd -5.5194 11.5951 -4.6534\nCd -2.7492 0.5630 -4.6457\nCd 0.0209 -10.4692 -4.6380\nCd 1.4601 14.1855 -4.4912\nCd 4.2303 3.1533 -4.4835\nCd 7.0004 -7.8788 -4.4758\nCd 11.2098 5.7437 -4.3214\nCd 13.9799 -5.2885 -4.3137\nCd -13.9437 -1.4099 -4.2280\nCd -11.1735 -12.4421 -4.2203\nCd -9.7343 12.2126 -4.0735\nCd -6.9642 1.1804 -4.0658\nCd -4.1940 -9.8517 -4.0582\nCd -2.7548 14.8029 -3.9114\nCd 0.0153 3.7708 -3.9037\nCd 2.7855 -7.2614 -3.8960\nCd 4.2247 17.3933 -3.7492\nCd 6.9948 6.3611 -3.7415\nCd 9.7650 -4.6710 -3.7338\nCd -18.1586 -0.7925 -3.6482\nCd 13.9743 8.9515 -3.5793\nCd 16.7445 -2.0807 -3.5717\nCd -11.1791 1.7978 -3.4860\nCd -8.4089 -9.2343 -3.4783\nCd -6.9698 15.4204 -3.3315\nCd -4.1996 4.3882 -3.3238\nCd -1.4294 -6.6440 -3.3161\nCd 1.3407 -17.6761 -3.3085\nCd 0.0097 18.0107 -3.1693\nCd 2.7799 6.9785 -3.1617\nCd 5.5500 -4.0536 -3.1540\nCd 8.3202 -15.0858 -3.1463\nCd 9.7594 9.5689 -2.9995\nCd 12.5295 -1.4633 -2.9918\nCd -15.3941 2.4153 -2.9061\nCd -12.6239 -8.6169 -2.8985\nCd -8.4146 5.0056 -2.7440\nCd -5.6444 -6.0265 -2.7363\nCd -2.8742 -17.0587 -2.7286\nCd -1.4351 7.5960 -2.5818\nCd 1.3351 -3.4362 -2.5741\nCd 4.1053 -14.4683 -2.5664\nCd 5.5444 10.1863 -2.4196\nCd 8.3146 -0.8458 -2.4120\nCd 11.0848 -11.8780 -2.4043\nCd -16.8388 -7.9995 -2.3186\nCd 12.5239 12.7767 -2.2575\nCd 15.2941 1.7445 -2.2498\nCd -12.6295 5.6231 -2.1641\nCd -9.8593 -5.4091 -2.1564\nCd -7.0892 -16.4413 -2.1488\nCd -5.6500 8.2134 -2.0020\nCd -2.8798 -2.8188 -1.9943\nCd -0.1097 -13.8509 -1.9866\nCd 1.3295 10.8038 -1.8398\nCd 4.0997 -0.2284 -1.8321\nCd 6.8698 -11.2606 -1.8244\nCd 8.3090 13.3941 -1.6776\nCd 11.0792 2.3620 -1.6699\nCd 13.8493 -8.6702 -1.6623\nCd -16.8444 6.2405 -1.5843\nCd -14.0743 -4.7917 -1.5766\nCd 18.0587 4.9523 -1.5078\nCd -9.8649 8.8308 -1.4221\nCd -7.0948 -2.2013 -1.4144\nCd -4.3246 -13.2335 -1.4067\nCd -2.8854 11.4212 -1.2599\nCd -0.1153 0.3890 -1.2523\nCd 2.6549 -10.6431 -1.2446\nCd 4.0940 14.0115 -1.0978\nCd 6.8642 2.9794 -1.0901\nCd 9.6344 -8.0528 -1.0824\nCd -18.2892 -4.1742 -0.9967\nCd 13.8437 5.5697 -0.9279\nCd 16.6139 -5.4624 -0.9203\nCd -14.0799 9.4483 -0.8423\nCd -11.3097 -1.5839 -0.8346\nCd -8.5396 -12.6161 -0.8269\nCd -7.1004 12.0386 -0.6801\nCd -4.3302 1.0065 -0.6724\nCd -1.5601 -10.0257 -0.6647\nCd -0.1209 14.6290 -0.5179\nCd 2.6493 3.5968 -0.5102\nCd 5.4194 -7.4354 -0.5026\nCd 6.8586 17.2193 -0.3558\nCd 9.6288 6.1872 -0.3481\nCd 12.3989 -4.8450 -0.3404\nCd -15.5247 -0.9665 -0.2547\nCd -12.7545 -11.9986 -0.2470\nCd 16.6083 8.7775 -0.1859\nCd -11.3153 12.6560 -0.1002\nCd -8.5452 1.6239 -0.0926\nCd -5.7750 -9.4083 -0.0849\nCd -4.3358 15.2464 0.0619\nCd -1.5657 4.2142 0.0696\nCd 1.2045 -6.8179 0.0773\nCd 3.9746 -17.8501 0.0850\nCd 2.6437 17.8368 0.2241\nCd 5.4138 6.8046 0.2318\nCd 8.1840 -4.2276 0.2394\nCd 10.9541 -15.2597 0.2471\nCd 12.3933 9.3949 0.3939\nCd 15.1635 -1.6372 0.4016\nCd -12.7601 2.2413 0.4873\nCd -9.9900 -8.7908 0.4950\nCd -8.5508 15.8638 0.6418\nCd -5.7806 4.8317 0.6494\nCd -3.0105 -6.2005 0.6571\nCd -0.2403 -17.2327 0.6648\nCd -1.5713 18.4542 0.8039\nCd 1.1989 7.4220 0.8116\nCd 3.9690 -3.6101 0.8193\nCd 6.7392 -14.6423 0.8270\nCd 8.1784 10.0124 0.9738\nCd 10.9485 -1.0198 0.9815\nCd 13.7187 -12.0519 0.9891\nCd -16.9751 2.8587 1.0671\nCd -14.2049 -8.1734 1.0748\nCd 17.9280 1.5706 1.1436\nCd -9.9956 5.4491 1.2293\nCd -7.2254 -5.5831 1.2370\nCd -4.4552 -16.6152 1.2447\nCd -3.0161 8.0394 1.3915\nCd -0.2459 -2.9927 1.3991\nCd 2.5243 -14.0249 1.4068\nCd 3.9634 10.6298 1.5536\nCd 6.7336 -0.4024 1.5613\nCd 9.5037 -11.4345 1.5690\nCd 10.9429 13.2202 1.7158\nCd 13.7131 2.1880 1.7235\nCd 16.4832 -8.8442 1.7312\nCd -14.2105 6.0665 1.8091\nCd -11.4404 -4.9656 1.8168\nCd -8.6702 -15.9978 1.8245\nCd -7.2310 8.6569 1.9713\nCd -4.4609 -2.3753 1.9790\nCd -1.6907 -13.4074 1.9867\nCd -0.2515 11.2472 2.1335\nCd 2.5186 0.2151 2.1412\nCd 5.2888 -10.8171 2.1488\nCd 6.7280 13.8376 2.2956\nCd 9.4981 2.8054 2.3033\nCd 12.2683 -8.2267 2.3110\nCd -15.6553 -4.3482 2.3967\nCd 16.4776 5.3958 2.4655\nCd -11.4460 9.2743 2.5512\nCd -8.6758 -1.7579 2.5588\nCd -5.9056 -12.7900 2.5665\nCd -4.4665 11.8647 2.7133\nCd -1.6963 0.8325 2.7210\nCd 1.0739 -10.1997 2.7287\nCd 2.5130 14.4550 2.8755\nCd 5.2832 3.4229 2.8832\nCd 8.0534 -7.6093 2.8909\nCd 12.2627 6.0132 3.0453\nCd 15.0329 -5.0190 3.0530\nCd -15.6609 9.8917 3.1310\nCd -12.8907 -1.1404 3.1387\nCd -10.1206 -12.1726 3.1464\nCd -8.6814 12.4821 3.2932\nCd -5.9112 1.4499 3.3009\nCd -3.1411 -9.5822 3.3085\nCd -1.7019 15.0724 3.4553\nCd 1.0683 4.0403 3.4630\nCd 3.8384 -6.9919 3.4707\nCd 5.2776 17.6628 3.6175\nCd 8.0477 6.6306 3.6252\nCd 10.8179 -4.4015 3.6329\nCd -17.1057 -0.5230 3.7185\nCd -14.3355 -11.5552 3.7262\nCd 15.0272 9.2210 3.7874\nCd 17.7974 -1.8112 3.7950\nCd -12.8963 13.0995 3.8730\nCd -10.1262 2.0674 3.8807\nCd -7.3560 -8.9648 3.8884\nCd -5.9169 15.6899 4.0352\nCd -3.1467 4.6577 4.0429\nCd -0.3765 -6.3744 4.0506\nCd 2.3936 -17.4066 4.0582\nCd 1.0626 18.2802 4.1974\nCd 3.8328 7.2481 4.2050\nCd 6.6030 -3.7841 4.2127\nCd 9.3731 -14.8163 4.2204\nCd 10.8123 9.8384 4.3672\nCd 13.5825 -1.1937 4.3749\nCd -14.3411 2.6848 4.4606\nCd -11.5710 -8.3474 4.4682\nCd -7.3616 5.2751 4.6227\nCd -4.5915 -5.7570 4.6304\nCd -1.8213 -16.7892 4.6381\nCd -0.3821 7.8655 4.7849\nCd 2.3880 -3.1667 4.7926\nCd 5.1582 -14.1988 4.8003\nCd 6.5974 10.4558 4.9471\nCd 9.3675 -0.5763 4.9547\nCd 12.1377 -11.6085 4.9624\nCd -15.7859 -7.7299 5.0481\nCd 16.3470 2.0140 5.1169\nCd -11.5766 5.8926 5.2026\nCd -8.8064 -5.1396 5.2103\nCd -6.0363 -16.1717 5.2179\nCd -4.5971 8.4829 5.3647\nCd -1.8269 -2.5492 5.3724\nCd 0.9432 -13.5814 5.3801\nCd 2.3824 11.0733 5.5269\nCd 5.1526 0.0411 5.5346\nCd 7.9227 -10.9910 5.5423\nCd 9.3619 13.6636 5.6891\nCd 12.1321 2.6315 5.6968\nCd 14.9022 -8.4007 5.7044\nCd -15.7915 6.5100 5.7824\nCd -13.0214 -4.5222 5.7901\nCd -8.8120 9.1004 5.9446\nCd -6.0419 -1.9318 5.9523\nCd -3.2717 -12.9640 5.9600\nCd -1.8325 11.6907 6.1068\nCd 0.9376 0.6585 6.1144\nCd 3.7078 -10.3736 6.1221\nCd 5.1470 14.2811 6.2689\nCd 7.9171 3.2489 6.2766\nCd 10.6873 -7.7833 6.2843\nCd -17.2363 -3.9047 6.3700\nCd 14.8966 5.8392 6.4388\nCd -13.0270 9.7178 6.5244\nCd -10.2568 -1.3144 6.5321\nCd -7.4866 -12.3465 6.5398\nCd -6.0475 12.3081 6.6866\nCd -3.2773 1.2760 6.6943\nCd -0.5072 -9.7562 6.7020\nCd 0.9320 14.8985 6.8488\nCd 3.7022 3.8663 6.8565\nCd 6.4723 -7.1658 6.8641\nCd 10.6817 6.4567 7.0186\nCd 13.4518 -4.5755 7.0263\nCd -14.4718 -0.6969 7.1120\nCd -11.7016 -11.7291 7.1197\nCd -10.2624 12.9256 7.2665\nCd -7.4923 1.8934 7.2741\nCd -4.7221 -9.1388 7.2818\nCd -3.2829 15.5159 7.4286\nCd -0.5128 4.4838 7.4363\nCd 2.2574 -6.5484 7.4440\nCd 6.4667 7.0741 7.5985\nCd 9.2369 -3.9581 7.6062\nCd 13.4462 9.6645 7.7606\nCd 16.2164 -1.3677 7.7683\nCd -11.7072 2.5108 7.8540\nCd -8.9370 -8.5213 7.8617\nCd -4.7277 5.1012 8.0162\nCd -1.9575 -5.9310 8.0238\nCd 0.8126 -16.9631 8.0315\nCd 2.2518 7.6915 8.1783\nCd 5.0220 -3.3406 8.1860\nCd 7.7921 -14.3728 8.1937\nCd 9.2313 10.2819 8.3405\nCd 12.0015 -0.7503 8.3482\nCd -15.9221 3.1283 8.4338\nCd -13.1520 -7.9039 8.4415\nCd -8.9426 5.7186 8.5960\nCd -6.1725 -5.3135 8.6037\nCd -3.4023 -16.3457 8.6114\nCd -1.9632 8.3090 8.7582\nCd 0.8070 -2.7232 8.7659\nCd 3.5772 -13.7554 8.7735\nCd 5.0163 10.8993 8.9203\nCd 7.7865 -0.1328 8.9280\nCd 10.5567 -11.1650 8.9357\nCd 14.7660 2.4575 9.0902\nCd -13.1576 6.3360 9.1759\nCd -10.3874 -4.6961 9.1835\nCd -6.1781 8.9264 9.3380\nCd -3.4079 -2.1058 9.3457\nCd -0.6378 -13.1379 9.3534\nCd 0.8014 11.5167 9.5002\nCd 3.5716 0.4846 9.5079\nCd 6.3417 -10.5476 9.5155\nCd 7.7809 14.1071 9.6623\nCd 10.5511 3.0749 9.6700\nCd 13.3212 -7.9572 9.6777\nCd -14.6024 -4.0787 9.7634\nCd -10.3930 9.5438 9.9179\nCd -7.6229 -1.4883 9.9256\nCd -4.8527 -12.5205 9.9332\nCd -3.4135 12.1342 10.0800\nCd -0.6434 1.1020 10.0877\nCd 2.1268 -9.9301 10.0954\nCd 3.5660 14.7245 10.2422\nCd 6.3361 3.6924 10.2499\nCd 9.1063 -7.3398 10.2576\nCd 13.3156 6.2827 10.4120\nCd -11.8378 -0.8709 10.5054\nCd -9.0677 -11.9031 10.5131\nCd -7.6285 12.7516 10.6599\nCd -4.8583 1.7194 10.6676\nCd -2.0882 -9.3127 10.6752\nCd -0.6490 15.3420 10.8220\nCd 2.1212 4.3098 10.8297\nCd 4.8913 -6.7224 10.8374\nCd 9.1007 6.9002 10.9919\nCd 11.8708 -4.1320 10.9996\nCd -9.0733 2.3369 11.2474\nCd -6.3031 -8.6953 11.2551\nCd -2.0938 4.9272 11.4096\nCd 0.6764 -6.1049 11.4173\nCd 4.8857 7.5176 11.5717\nCd 7.6559 -3.5146 11.5794\nCd 14.6354 -0.9242 11.7416\nCd -13.2882 2.9543 11.8273\nCd -10.5181 -8.0779 11.8349\nCd -6.3087 5.5447 11.9894\nCd -3.5386 -5.4875 11.9971\nCd 0.6708 8.1350 12.1516\nCd 3.4409 -2.8971 12.1593\nCd 7.6503 10.7254 12.3138\nCd 10.4204 -0.3068 12.3214\nCd -10.5237 6.1621 12.5693\nCd -7.7535 -4.8701 12.5770\nCd -3.5442 8.7524 12.7314\nCd -0.7740 -2.2797 12.7391\nCd 1.9962 -13.3119 12.7468\nCd 3.4353 11.3428 12.8936\nCd 6.2055 0.3106 12.9013\nCd 13.1850 2.9010 13.0635\nCd -11.9684 -4.2526 13.1568\nCd -7.7591 9.3699 13.3113\nCd -4.9889 -1.6623 13.3190\nCd -2.2188 -12.6945 13.3267\nCd -0.7796 11.9602 13.4735\nCd 1.9905 0.9281 13.4811\nCd 4.7607 -10.1041 13.4888\nCd 8.9700 3.5184 13.6433\nCd -9.2039 -1.0449 13.8988\nCd -2.2244 1.5455 14.0610\nCd 0.5458 -9.4867 14.0687\nCd 4.7551 4.1358 14.2232\nCd 7.5253 -6.8963 14.2308\nCd -6.4393 2.1629 14.6408\nCd -3.6692 -8.8692 14.6485\nCd 0.5402 4.7533 14.8030\nCd 3.3103 -6.2789 14.8107\nCd 7.5197 7.3436 14.9652\nCd 10.2898 -3.6885 14.9729\nCd -10.6543 2.7803 15.2207\nCd -3.6748 5.3707 15.3829\nCd -0.9046 -5.6615 15.3905\nCd 3.3047 7.9611 15.5450\nCd 6.0749 -3.0711 15.5527\nCd -7.8897 5.9881 15.9627\nCd -5.1196 -5.0440 15.9704\nCd -0.9102 8.5785 16.1249\nCd 1.8599 -2.4537 16.1326\nCd 8.8394 0.1367 16.2947\nCd -2.3550 -1.8362 16.7124\nCd 4.6245 0.7541 16.8746\nCd -6.5700 -1.2188 17.2923\nCd 0.4095 1.3715 17.4544\nCd -3.8054 1.9890 18.0343\nSe 3.8054 -1.9890 -18.0343\nSe -0.4095 -1.3715 -17.4544\nSe 6.5700 1.2188 -17.2923\nSe -4.6245 -0.7541 -16.8746\nSe 2.3550 1.8362 -16.7124\nSe -8.8394 -0.1367 -16.2947\nSe -1.8599 2.4537 -16.1326\nSe 0.9102 -8.5785 -16.1249\nSe 5.1196 5.0440 -15.9704\nSe 7.8897 -5.9881 -15.9627\nSe -6.0749 3.0711 -15.5527\nSe -3.3047 -7.9611 -15.5450\nSe 0.9046 5.6615 -15.3905\nSe 3.6748 -5.3707 -15.3829\nSe 10.6543 -2.7803 -15.2207\nSe -10.2898 3.6885 -14.9729\nSe -7.5197 -7.3436 -14.9652\nSe -3.3103 6.2789 -14.8107\nSe -0.5402 -4.7533 -14.8030\nSe 3.6692 8.8692 -14.6485\nSe 6.4393 -2.1629 -14.6408\nSe -7.5253 6.8963 -14.2308\nSe -4.7551 -4.1358 -14.2232\nSe -0.5458 9.4867 -14.0687\nSe 2.2244 -1.5455 -14.0610\nSe 9.2039 1.0449 -13.8988\nSe -8.9700 -3.5184 -13.6433\nSe -4.7607 10.1041 -13.4888\nSe -1.9905 -0.9281 -13.4811\nSe 0.7796 -11.9602 -13.4735\nSe 2.2188 12.6945 -13.3267\nSe 4.9889 1.6623 -13.3190\nSe 7.7591 -9.3699 -13.3113\nSe 11.9684 4.2526 -13.1568\nSe -13.1850 -2.9010 -13.0635\nSe -6.2055 -0.3106 -12.9013\nSe -3.4353 -11.3428 -12.8936\nSe -1.9962 13.3119 -12.7468\nSe 0.7740 2.2797 -12.7391\nSe 3.5442 -8.7524 -12.7314\nSe 7.7535 4.8701 -12.5770\nSe 10.5237 -6.1621 -12.5693\nSe -10.4204 0.3068 -12.3214\nSe -7.6503 -10.7254 -12.3138\nSe -3.4409 2.8971 -12.1593\nSe -0.6708 -8.1350 -12.1516\nSe 3.5386 5.4875 -11.9971\nSe 6.3087 -5.5447 -11.9894\nSe 10.5181 8.0779 -11.8349\nSe 13.2882 -2.9543 -11.8273\nSe -14.6354 0.9242 -11.7416\nSe -7.6559 3.5146 -11.5794\nSe -4.8857 -7.5176 -11.5717\nSe -0.6764 6.1049 -11.4173\nSe 2.0938 -4.9272 -11.4096\nSe 6.3031 8.6953 -11.2551\nSe 9.0733 -2.3369 -11.2474\nSe -11.8708 4.1320 -10.9996\nSe -9.1007 -6.9002 -10.9919\nSe -4.8913 6.7224 -10.8374\nSe -2.1212 -4.3098 -10.8297\nSe 0.6490 -15.3420 -10.8220\nSe 2.0882 9.3127 -10.6752\nSe 4.8583 -1.7194 -10.6676\nSe 7.6285 -12.7516 -10.6599\nSe 9.0677 11.9031 -10.5131\nSe 11.8378 0.8709 -10.5054\nSe -13.3156 -6.2827 -10.4120\nSe -9.1063 7.3398 -10.2576\nSe -6.3361 -3.6924 -10.2499\nSe -3.5660 -14.7245 -10.2422\nSe -2.1268 9.9301 -10.0954\nSe 0.6434 -1.1020 -10.0877\nSe 3.4135 -12.1342 -10.0800\nSe 4.8527 12.5205 -9.9332\nSe 7.6229 1.4883 -9.9256\nSe 10.3930 -9.5438 -9.9179\nSe 14.6024 4.0787 -9.7634\nSe -13.3212 7.9572 -9.6777\nSe -10.5511 -3.0749 -9.6700\nSe -7.7809 -14.1071 -9.6623\nSe -6.3417 10.5476 -9.5155\nSe -3.5716 -0.4846 -9.5079\nSe -0.8014 -11.5167 -9.5002\nSe 0.6378 13.1379 -9.3534\nSe 3.4079 2.1058 -9.3457\nSe 6.1781 -8.9264 -9.3380\nSe 10.3874 4.6961 -9.1835\nSe 13.1576 -6.3360 -9.1759\nSe -14.7660 -2.4575 -9.0902\nSe -10.5567 11.1650 -8.9357\nSe -7.7865 0.1328 -8.9280\nSe -5.0163 -10.8993 -8.9203\nSe -3.5772 13.7554 -8.7735\nSe -0.8070 2.7232 -8.7659\nSe 1.9632 -8.3090 -8.7582\nSe 3.4023 16.3457 -8.6114\nSe 6.1725 5.3135 -8.6037\nSe 8.9426 -5.7186 -8.5960\nSe 13.1520 7.9039 -8.4415\nSe 15.9221 -3.1283 -8.4338\nSe -12.0015 0.7503 -8.3482\nSe -9.2313 -10.2819 -8.3405\nSe -7.7921 14.3728 -8.1937\nSe -5.0220 3.3406 -8.1860\nSe -2.2518 -7.6915 -8.1783\nSe -0.8126 16.9631 -8.0315\nSe 1.9575 5.9310 -8.0238\nSe 4.7277 -5.1012 -8.0162\nSe 8.9370 8.5213 -7.8617\nSe 11.7072 -2.5108 -7.8540\nSe -16.2164 1.3677 -7.7683\nSe -13.4462 -9.6645 -7.7606\nSe -9.2369 3.9581 -7.6062\nSe -6.4667 -7.0741 -7.5985\nSe -2.2574 6.5484 -7.4440\nSe 0.5128 -4.4838 -7.4363\nSe 3.2829 -15.5159 -7.4286\nSe 4.7221 9.1388 -7.2818\nSe 7.4923 -1.8934 -7.2741\nSe 10.2624 -12.9256 -7.2665\nSe 11.7016 11.7291 -7.1197\nSe 14.4718 0.6969 -7.1120\nSe -13.4518 4.5755 -7.0263\nSe -10.6817 -6.4567 -7.0186\nSe -6.4723 7.1658 -6.8641\nSe -3.7022 -3.8663 -6.8565\nSe -0.9320 -14.8985 -6.8488\nSe 0.5072 9.7562 -6.7020\nSe 3.2773 -1.2760 -6.6943\nSe 6.0475 -12.3081 -6.6866\nSe 7.4866 12.3465 -6.5398\nSe 10.2568 1.3144 -6.5321\nSe 13.0270 -9.7178 -6.5244\nSe -14.8966 -5.8392 -6.4388\nSe 17.2363 3.9047 -6.3700\nSe -10.6873 7.7833 -6.2843\nSe -7.9171 -3.2489 -6.2766\nSe -5.1470 -14.2811 -6.2689\nSe -3.7078 10.3736 -6.1221\nSe -0.9376 -0.6585 -6.1144\nSe 1.8325 -11.6907 -6.1068\nSe 3.2717 12.9640 -5.9600\nSe 6.0419 1.9318 -5.9523\nSe 8.8120 -9.1004 -5.9446\nSe 13.0214 4.5222 -5.7901\nSe 15.7915 -6.5100 -5.7824\nSe -14.9022 8.4007 -5.7044\nSe -12.1321 -2.6315 -5.6968\nSe -9.3619 -13.6636 -5.6891\nSe -7.9227 10.9910 -5.5423\nSe -5.1526 -0.0411 -5.5346\nSe -2.3824 -11.0733 -5.5269\nSe -0.9432 13.5814 -5.3801\nSe 1.8269 2.5492 -5.3724\nSe 4.5971 -8.4829 -5.3647\nSe 6.0363 16.1717 -5.2179\nSe 8.8064 5.1396 -5.2103\nSe 11.5766 -5.8926 -5.2026\nSe -16.3470 -2.0140 -5.1169\nSe 15.7859 7.7299 -5.0481\nSe -12.1377 11.6085 -4.9624\nSe -9.3675 0.5763 -4.9547\nSe -6.5974 -10.4558 -4.9471\nSe -5.1582 14.1988 -4.8003\nSe -2.3880 3.1667 -4.7926\nSe 0.3821 -7.8655 -4.7849\nSe 1.8213 16.7892 -4.6381\nSe 4.5915 5.7570 -4.6304\nSe 7.3616 -5.2751 -4.6227\nSe 11.5710 8.3474 -4.4682\nSe 14.3411 -2.6848 -4.4606\nSe -13.5825 1.1937 -4.3749\nSe -10.8123 -9.8384 -4.3672\nSe -9.3731 14.8163 -4.2204\nSe -6.6030 3.7841 -4.2127\nSe -3.8328 -7.2481 -4.2050\nSe -1.0626 -18.2802 -4.1974\nSe -2.3936 17.4066 -4.0582\nSe 0.3765 6.3744 -4.0506\nSe 3.1467 -4.6577 -4.0429\nSe 5.9169 -15.6899 -4.0352\nSe 7.3560 8.9648 -3.8884\nSe 10.1262 -2.0674 -3.8807\nSe 12.8963 -13.0995 -3.8730\nSe -17.7974 1.8112 -3.7950\nSe -15.0272 -9.2210 -3.7874\nSe 14.3355 11.5552 -3.7262\nSe 17.1057 0.5230 -3.7185\nSe -10.8179 4.4015 -3.6329\nSe -8.0477 -6.6306 -3.6252\nSe -5.2776 -17.6628 -3.6175\nSe -3.8384 6.9919 -3.4707\nSe -1.0683 -4.0403 -3.4630\nSe 1.7019 -15.0724 -3.4553\nSe 3.1411 9.5822 -3.3085\nSe 5.9112 -1.4499 -3.3009\nSe 8.6814 -12.4821 -3.2932\nSe 10.1206 12.1726 -3.1464\nSe 12.8907 1.1404 -3.1387\nSe 15.6609 -9.8917 -3.1310\nSe -15.0329 5.0190 -3.0530\nSe -12.2627 -6.0132 -3.0453\nSe -8.0534 7.6093 -2.8909\nSe -5.2832 -3.4229 -2.8832\nSe -2.5130 -14.4550 -2.8755\nSe -1.0739 10.1997 -2.7287\nSe 1.6963 -0.8325 -2.7210\nSe 4.4665 -11.8647 -2.7133\nSe 5.9056 12.7900 -2.5665\nSe 8.6758 1.7579 -2.5588\nSe 11.4460 -9.2743 -2.5512\nSe -16.4776 -5.3958 -2.4655\nSe 15.6553 4.3482 -2.3967\nSe -12.2683 8.2267 -2.3110\nSe -9.4981 -2.8054 -2.3033\nSe -6.7280 -13.8376 -2.2956\nSe -5.2888 10.8171 -2.1488\nSe -2.5186 -0.2151 -2.1412\nSe 0.2515 -11.2472 -2.1335\nSe 1.6907 13.4074 -1.9867\nSe 4.4609 2.3753 -1.9790\nSe 7.2310 -8.6569 -1.9713\nSe 8.6702 15.9978 -1.8245\nSe 11.4404 4.9656 -1.8168\nSe 14.2105 -6.0665 -1.8091\nSe -16.4832 8.8442 -1.7312\nSe -13.7131 -2.1880 -1.7235\nSe -10.9429 -13.2202 -1.7158\nSe -9.5037 11.4345 -1.5690\nSe -6.7336 0.4024 -1.5613\nSe -3.9634 -10.6298 -1.5536\nSe -2.5243 14.0249 -1.4068\nSe 0.2459 2.9927 -1.3991\nSe 3.0161 -8.0394 -1.3915\nSe 4.4552 16.6152 -1.2447\nSe 7.2254 5.5831 -1.2370\nSe 9.9956 -5.4491 -1.2293\nSe -17.9280 -1.5706 -1.1436\nSe 14.2049 8.1734 -1.0748\nSe 16.9751 -2.8587 -1.0671\nSe -13.7187 12.0519 -0.9891\nSe -10.9485 1.0198 -0.9815\nSe -8.1784 -10.0124 -0.9738\nSe -6.7392 14.6423 -0.8270\nSe -3.9690 3.6101 -0.8193\nSe -1.1989 -7.4220 -0.8116\nSe 1.5713 -18.4542 -0.8039\nSe 0.2403 17.2327 -0.6648\nSe 3.0105 6.2005 -0.6571\nSe 5.7806 -4.8317 -0.6494\nSe 8.5508 -15.8638 -0.6418\nSe 9.9900 8.7908 -0.4950\nSe 12.7601 -2.2413 -0.4873\nSe -15.1635 1.6372 -0.4016\nSe -12.3933 -9.3949 -0.3939\nSe -10.9541 15.2597 -0.2471\nSe -8.1840 4.2276 -0.2394\nSe -5.4138 -6.8046 -0.2318\nSe -2.6437 -17.8368 -0.2241\nSe -3.9746 17.8501 -0.0850\nSe -1.2045 6.8179 -0.0773\nSe 1.5657 -4.2142 -0.0696\nSe 4.3358 -15.2464 -0.0619\nSe 5.7750 9.4083 0.0849\nSe 8.5452 -1.6239 0.0926\nSe 11.3153 -12.6560 0.1002\nSe -16.6083 -8.7775 0.1859\nSe 12.7545 11.9986 0.2470\nSe 15.5247 0.9665 0.2547\nSe -12.3989 4.8450 0.3404\nSe -9.6288 -6.1872 0.3481\nSe -6.8586 -17.2193 0.3558\nSe -5.4194 7.4354 0.5026\nSe -2.6493 -3.5968 0.5102\nSe 0.1209 -14.6290 0.5179\nSe 1.5601 10.0257 0.6647\nSe 4.3302 -1.0065 0.6724\nSe 7.1004 -12.0386 0.6801\nSe 8.5396 12.6161 0.8269\nSe 11.3097 1.5839 0.8346\nSe 14.0799 -9.4483 0.8423\nSe -16.6139 5.4624 0.9203\nSe -13.8437 -5.5697 0.9279\nSe 18.2892 4.1742 0.9967\nSe -9.6344 8.0528 1.0824\nSe -6.8642 -2.9794 1.0901\nSe -4.0940 -14.0115 1.0978\nSe -2.6549 10.6431 1.2446\nSe 0.1153 -0.3890 1.2523\nSe 2.8854 -11.4212 1.2599\nSe 4.3246 13.2335 1.4067\nSe 7.0948 2.2013 1.4144\nSe 9.8649 -8.8308 1.4221\nSe -18.0587 -4.9523 1.5078\nSe 14.0743 4.7917 1.5766\nSe 16.8444 -6.2405 1.5843\nSe -13.8493 8.6702 1.6623\nSe -11.0792 -2.3620 1.6699\nSe -8.3090 -13.3941 1.6776\nSe -6.8698 11.2606 1.8244\nSe -4.0997 0.2284 1.8321\nSe -1.3295 -10.8038 1.8398\nSe 0.1097 13.8509 1.9866\nSe 2.8798 2.8188 1.9943\nSe 5.6500 -8.2134 2.0020\nSe 7.0892 16.4413 2.1488\nSe 9.8593 5.4091 2.1564\nSe 12.6295 -5.6231 2.1641\nSe -15.2941 -1.7445 2.2498\nSe -12.5239 -12.7767 2.2575\nSe 16.8388 7.9995 2.3186\nSe -11.0848 11.8780 2.4043\nSe -8.3146 0.8458 2.4120\nSe -5.5444 -10.1863 2.4196\nSe -4.1053 14.4683 2.5664\nSe -1.3351 3.4362 2.5741\nSe 1.4351 -7.5960 2.5818\nSe 2.8742 17.0587 2.7286\nSe 5.6444 6.0265 2.7363\nSe 8.4146 -5.0056 2.7440\nSe 12.6239 8.6169 2.8985\nSe 15.3941 -2.4153 2.9061\nSe -12.5295 1.4633 2.9918\nSe -9.7594 -9.5689 2.9995\nSe -8.3202 15.0858 3.1463\nSe -5.5500 4.0536 3.1540\nSe -2.7799 -6.9785 3.1617\nSe -0.0097 -18.0107 3.1693\nSe -1.3407 17.6761 3.3085\nSe 1.4294 6.6440 3.3161\nSe 4.1996 -4.3882 3.3238\nSe 6.9698 -15.4204 3.3315\nSe 8.4089 9.2343 3.4783\nSe 11.1791 -1.7978 3.4860\nSe -16.7445 2.0807 3.5717\nSe -13.9743 -8.9515 3.5793\nSe 18.1586 0.7925 3.6482\nSe -9.7650 4.6710 3.7338\nSe -6.9948 -6.3611 3.7415\nSe -4.2247 -17.3933 3.7492\nSe -2.7855 7.2614 3.8960\nSe -0.0153 -3.7708 3.9037\nSe 2.7548 -14.8029 3.9114\nSe 4.1940 9.8517 4.0582\nSe 6.9642 -1.1804 4.0658\nSe 9.7343 -12.2126 4.0735\nSe 11.1735 12.4421 4.2203\nSe 13.9437 1.4099 4.2280\nSe -13.9799 5.2885 4.3137\nSe -11.2098 -5.7437 4.3214\nSe -7.0004 7.8788 4.4758\nSe -4.2303 -3.1533 4.4835\nSe -1.4601 -14.1855 4.4912\nSe -0.0209 10.4692 4.6380\nSe 2.7492 -0.5630 4.6457\nSe 5.5194 -11.5951 4.6534\nSe 6.9586 13.0595 4.8002\nSe 9.7287 2.0274 4.8079\nSe 12.4989 -9.0048 4.8155\nSe -15.4247 -5.1263 4.9012\nSe 16.7082 4.6177 4.9700\nSe -11.2154 8.4963 5.0557\nSe -8.4452 -2.5359 5.0634\nSe -5.6751 -13.5681 5.0711\nSe -4.2359 11.0866 5.2179\nSe -1.4657 0.0544 5.2255\nSe 1.3044 -10.9777 5.2332\nSe 2.7436 13.6770 5.3800\nSe 5.5138 2.6448 5.3877\nSe 8.2839 -8.3874 5.3954\nSe 12.4933 5.2351 5.5499\nSe 15.2634 -5.7970 5.5576\nSe -15.4303 9.1137 5.6355\nSe -12.6602 -1.9185 5.6432\nSe -9.8900 -12.9506 5.6509\nSe -8.4508 11.7040 5.7977\nSe -5.6807 0.6719 5.8054\nSe -2.9105 -10.3603 5.8131\nSe -1.4713 14.2944 5.9599\nSe 1.2988 3.2622 5.9676\nSe 4.0690 -7.7699 5.9752\nSe 5.5082 16.8847 6.1220\nSe 8.2783 5.8526 6.1297\nSe 11.0485 -5.1796 6.1374\nSe -16.8751 -1.3010 6.2231\nSe 15.2578 8.4429 6.2919\nSe -12.6658 12.3215 6.3776\nSe -9.8956 1.2893 6.3852\nSe -7.1255 -9.7429 6.3929\nSe -5.6863 14.9118 6.5397\nSe -2.9161 3.8797 6.5474\nSe -0.1460 -7.1525 6.5551\nSe 1.2932 17.5022 6.7019\nSe 4.0634 6.4700 6.7096\nSe 6.8335 -4.5622 6.7173\nSe 11.0429 9.0604 6.8717\nSe 13.8130 -1.9718 6.8794\nSe -14.1106 1.9067 6.9651\nSe -11.3404 -9.1254 6.9728\nSe -7.1311 4.4971 7.1273\nSe -4.3609 -6.5351 7.1349\nSe -0.1516 7.0874 7.2894\nSe 2.6186 -3.9447 7.2971\nSe 5.3888 -14.9769 7.3048\nSe 6.8279 9.6778 7.4516\nSe 9.5981 -1.3544 7.4593\nSe 16.5776 1.2360 7.6214\nSe -11.3460 5.1145 7.7071\nSe -8.5758 -5.9176 7.7148\nSe -4.3665 7.7049 7.8693\nSe -1.5963 -3.3273 7.8770\nSe 1.1738 -14.3595 7.8846\nSe 2.6130 10.2952 8.0314\nSe 5.3831 -0.7369 8.0391\nSe 8.1533 -11.7691 8.0468\nSe 9.5925 12.8856 8.1936\nSe 12.3626 1.8534 8.2013\nSe -15.5610 5.7319 8.2870\nSe -12.7908 -5.3002 8.2946\nSe -8.5815 8.3223 8.4491\nSe -5.8113 -2.7099 8.4568\nSe -3.0411 -13.7420 8.4645\nSe -1.6020 10.9126 8.6113\nSe 1.1682 -0.1195 8.6190\nSe 3.9384 -11.1517 8.6267\nSe 5.3775 13.5030 8.7734\nSe 8.1477 2.4708 8.7811\nSe 10.9179 -8.5613 8.7888\nSe 15.1272 5.0612 8.9433\nSe -12.7964 8.9397 9.0290\nSe -10.0262 -2.0924 9.0367\nSe -7.2561 -13.1246 9.0443\nSe -5.8169 11.5301 9.1911\nSe -3.0467 0.4979 9.1988\nSe -0.2766 -10.5342 9.2065\nSe 1.1626 14.1204 9.3533\nSe 3.9328 3.0883 9.3610\nSe 6.7029 -7.9439 9.3687\nSe 10.9123 5.6786 9.5231\nSe 13.6824 -5.3535 9.5308\nSe -14.2412 -1.4750 9.6165\nSe -10.0318 12.1475 9.7710\nSe -7.2617 1.1153 9.7787\nSe -4.4915 -9.9168 9.7864\nSe -3.0523 14.7379 9.9331\nSe -0.2822 3.7057 9.9408\nSe 2.4880 -7.3265 9.9485\nSe 6.6973 6.2961 10.1030\nSe 9.4675 -4.7361 10.1107\nSe -11.4766 1.7328 10.3585\nSe -8.7065 -9.2994 10.3662\nSe -4.4971 4.3231 10.5207\nSe -1.7270 -6.7090 10.5284\nSe 2.4824 6.9135 10.6828\nSe 5.2525 -4.1187 10.6905\nSe 9.4619 9.5038 10.8450\nSe 12.2320 -1.5283 10.8527\nSe -8.7121 4.9406 11.1005\nSe -5.9419 -6.0916 11.1082\nSe -1.7326 7.5309 11.2627\nSe 1.0376 -3.5012 11.2704\nSe 3.8077 -14.5334 11.2781\nSe 5.2469 10.1213 11.4249\nSe 8.0171 -0.9109 11.4325\nSe -12.9270 5.5580 11.6804\nSe -10.1569 -5.4742 11.6881\nSe -5.9475 8.1483 11.8425\nSe -3.1774 -2.8838 11.8502\nSe -0.4072 -13.9160 11.8579\nSe 1.0320 10.7387 12.0047\nSe 3.8021 -0.2935 12.0124\nSe 6.5723 -11.3256 12.0201\nSe 10.7816 2.2969 12.1746\nSe -10.1625 8.7658 12.4224\nSe -7.3923 -2.2664 12.4301\nSe -4.6221 -13.2985 12.4378\nSe -3.1830 11.3561 12.5846\nSe -0.4128 0.3240 12.5922\nSe 2.3574 -10.7082 12.5999\nSe 6.5667 2.9143 12.7544\nSe 9.3368 -8.1178 12.7621\nSe -11.6072 -1.6490 13.0099\nSe -4.6278 0.9414 13.1721\nSe -1.8576 -10.0908 13.1798\nSe 2.3517 3.5317 13.3343\nSe 5.1219 -7.5004 13.3419\nSe 9.3312 6.1221 13.4964\nSe 12.1014 -4.9101 13.5041\nSe -8.8427 1.5588 13.7519\nSe -6.0725 -9.4733 13.7596\nSe -1.8632 4.1492 13.9141\nSe 0.9070 -6.8830 13.9218\nSe 5.1163 6.7395 14.0763\nSe 7.8865 -4.2926 14.0840\nSe -6.0781 4.7666 14.4940\nSe -3.3080 -6.2656 14.5016\nSe 0.9014 7.3570 14.6561\nSe 3.6715 -3.6752 14.6638\nSe 10.6510 -1.0849 14.8260\nSe -7.5229 -5.6481 15.0815\nSe -3.3136 7.9744 15.2360\nSe -0.5434 -3.0578 15.2437\nSe 6.4361 -0.4674 15.4058\nSe -4.7584 -2.4403 15.8235\nSe 2.2211 0.1500 15.9857\nSe 9.2006 2.7404 16.1478\nSe -8.9733 -1.8229 16.4034\nSe -1.9938 0.7674 16.5655\nSe 4.9857 3.3578 16.7277\nSe -6.2088 1.3849 17.1454\nSe 0.7707 3.9752 17.3075\nSe -3.4442 4.5926 17.8874\n"
    },
    {
     "name": "CdSe-QD-D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1448\nModel zinc-blende CdSe nanocrystal CdSe-QD-D (spherical cut, no ligands), angstrom\nCd -5.8426 -2.0436 -19.9443\nCd -3.0946 -5.3420 -19.7163\nCd -1.7588 4.1780 -19.6930\nCd -0.3466 -8.6404 -19.4883\nCd 0.9893 0.8796 -19.4650\nCd 3.7373 -2.4188 -19.2370\nCd 5.0731 7.1013 -19.2137\nCd 6.4853 -5.7172 -19.0090\nCd 7.8211 3.8028 -18.9857\nCd -8.9541 -4.5232 -18.3154\nCd -7.6183 4.9968 -18.2920\nCd -6.2060 -7.8217 -18.0874\nCd -4.8702 1.6984 -18.0641\nCd -3.4580 -11.1201 -17.8594\nCd -2.1222 -1.6000 -17.8361\nCd -0.7864 7.9200 -17.8127\nCd 0.6259 -4.8984 -17.6081\nCd 1.9617 4.6216 -17.5847\nCd 3.3739 -8.1969 -17.3801\nCd 4.7097 1.3232 -17.3567\nCd 6.0455 10.8432 -17.3334\nCd 7.4577 -1.9752 -17.1288\nCd 8.7936 7.5448 -17.1054\nCd 10.2058 -5.2736 -16.9008\nCd 11.5416 4.2464 -16.8774\nCd -10.7297 2.5171 -16.6631\nCd -7.9817 -0.7813 -16.4351\nCd -6.6458 8.7387 -16.4118\nCd -5.2336 -4.0797 -16.2071\nCd -3.8978 5.4403 -16.1838\nCd -2.4856 -7.3781 -15.9791\nCd -1.1498 2.1419 -15.9558\nCd 0.1860 11.6620 -15.9325\nCd 0.2625 -10.6765 -15.7511\nCd 1.5983 -1.1565 -15.7278\nCd 2.9341 8.3636 -15.7045\nCd 3.0105 -13.9749 -15.5231\nCd 4.3463 -4.4549 -15.4998\nCd 5.6821 5.0651 -15.4765\nCd 7.0943 -7.7533 -15.2718\nCd 8.4302 1.7667 -15.2485\nCd 9.7660 11.2868 -15.2252\nCd 9.8424 -11.0517 -15.0438\nCd -13.8411 0.0375 -15.0342\nCd 11.1782 -1.5317 -15.0205\nCd 12.5140 7.9884 -14.9972\nCd -11.0931 -3.2609 -14.8062\nCd 13.9262 -4.8301 -14.7925\nCd -9.7573 6.2591 -14.7829\nCd -8.3451 -6.5594 -14.5782\nCd -7.0092 2.9607 -14.5549\nCd -5.6734 12.4807 -14.5315\nCd -5.5970 -9.8578 -14.3502\nCd -4.2612 -0.3377 -14.3269\nCd -2.9254 9.1823 -14.3035\nCd -2.8490 -13.1562 -14.1222\nCd -1.5132 -3.6361 -14.0989\nCd -0.1774 5.8839 -14.0756\nCd 1.1585 15.4039 -14.0522\nCd 1.2349 -6.9346 -13.8709\nCd 2.5707 2.5855 -13.8476\nCd 3.9065 12.1055 -13.8242\nCd 3.9829 -10.2330 -13.6429\nCd 5.3187 -0.7129 -13.6196\nCd 6.6545 8.8071 -13.5962\nCd 6.7309 -13.5314 -13.4149\nCd 8.0668 -4.0113 -13.3916\nCd 9.4026 5.5087 -13.3682\nCd -14.2045 -5.7406 -13.1773\nCd 10.8148 -7.3098 -13.1636\nCd -12.8687 3.7794 -13.1539\nCd 12.1506 2.2103 -13.1403\nCd -11.4565 -9.0390 -12.9493\nCd -10.1207 0.4810 -12.9259\nCd 14.8986 -1.0881 -12.9123\nCd -8.7849 10.0010 -12.9026\nCd -8.7085 -12.3374 -12.7213\nCd -7.3726 -2.8174 -12.6979\nCd -6.0368 6.7026 -12.6746\nCd -4.7010 16.2227 -12.6513\nCd -5.9604 -15.6358 -12.4933\nCd -4.6246 -6.1158 -12.4699\nCd -3.2888 3.4042 -12.4466\nCd -1.9530 12.9243 -12.4233\nCd -1.8766 -9.4142 -12.2419\nCd -0.5408 0.1058 -12.2186\nCd 0.7951 9.6258 -12.1953\nCd 0.8715 -12.7126 -12.0140\nCd 2.2073 -3.1926 -11.9906\nCd 3.5431 6.3274 -11.9673\nCd 4.8789 15.8475 -11.9440\nCd 3.6195 -16.0110 -11.7860\nCd 4.9553 -6.4910 -11.7626\nCd 6.2911 3.0290 -11.7393\nCd 7.6269 12.5491 -11.7160\nCd 7.7034 -9.7894 -11.5346\nCd -15.9802 1.2998 -11.5250\nCd 9.0392 -0.2694 -11.5113\nCd 10.3750 9.2506 -11.4880\nCd 10.4514 -13.0878 -11.3066\nCd -13.2321 -1.9987 -11.2970\nCd 11.7872 -3.5678 -11.2833\nCd -11.8963 7.5214 -11.2737\nCd 13.1230 5.9522 -11.2600\nCd -10.4841 -5.2971 -11.0690\nCd 14.5352 -6.8662 -11.0553\nCd -9.1483 4.2230 -11.0457\nCd 15.8711 2.6538 -11.0320\nCd -7.8124 13.7430 -11.0224\nCd -7.7360 -8.5955 -10.8410\nCd -6.4002 0.9246 -10.8177\nCd -5.0644 10.4446 -10.7944\nCd -4.9880 -11.8939 -10.6130\nCd -3.6522 -2.3739 -10.5897\nCd -2.3164 7.1462 -10.5664\nCd -0.9806 16.6662 -10.5430\nCd -2.2400 -15.1923 -10.3850\nCd -0.9042 -5.6723 -10.3617\nCd 0.4317 3.8478 -10.3384\nCd 1.7675 13.3678 -10.3150\nCd 0.5081 -18.4907 -10.1570\nCd 1.8439 -8.9707 -10.1337\nCd 3.1797 0.5494 -10.1104\nCd 4.5155 10.0694 -10.0871\nCd 4.5919 -12.2691 -9.9057\nCd 5.9277 -2.7491 -9.8824\nCd 7.2635 6.7710 -9.8591\nCd 8.5994 16.2910 -9.8357\nCd 7.3400 -15.5675 -9.6777\nCd -16.3435 -4.4783 -9.6681\nCd 8.6758 -6.0475 -9.6544\nCd -15.0077 5.0417 -9.6447\nCd 10.0116 3.4726 -9.6311\nCd 11.3474 12.9926 -9.6077\nCd -13.5955 -7.7767 -9.4401\nCd 11.4238 -9.3459 -9.4264\nCd -12.2597 1.7433 -9.4167\nCd 12.7596 0.1742 -9.4031\nCd -10.9239 11.2633 -9.3934\nCd 14.0954 9.6942 -9.3797\nCd -10.8475 -11.0751 -9.2121\nCd 14.1718 -12.6443 -9.1984\nCd -9.5117 -1.5551 -9.1887\nCd 15.5077 -3.1242 -9.1751\nCd -8.1758 7.9649 -9.1654\nCd 16.8435 6.3958 -9.1518\nCd -6.8400 17.4850 -9.1421\nCd -8.0994 -14.3736 -8.9841\nCd -6.7636 -4.8535 -8.9608\nCd 18.2557 -6.4227 -8.9471\nCd -5.4278 4.6665 -8.9374\nCd -4.0920 14.1866 -8.9141\nCd -5.3514 -17.6720 -8.7561\nCd -4.0156 -8.1519 -8.7328\nCd -2.6798 1.3681 -8.7094\nCd -1.3440 10.8881 -8.6861\nCd -1.2676 -11.4503 -8.5048\nCd 0.0683 -1.9303 -8.4814\nCd 1.4041 7.5897 -8.4581\nCd 2.7399 17.1098 -8.4348\nCd 1.4805 -14.7487 -8.2768\nCd 2.8163 -5.2287 -8.2534\nCd 4.1521 4.2913 -8.2301\nCd 5.4879 13.8114 -8.2068\nCd 4.2285 -18.0472 -8.0488\nCd 5.5643 -8.5271 -8.0255\nCd -18.1192 2.5620 -8.0158\nCd 6.9001 0.9929 -8.0021\nCd 8.2360 10.5129 -7.9788\nCd -16.7069 -10.2564 -7.8111\nCd 8.3124 -11.8255 -7.7975\nCd -15.3711 -0.7364 -7.7878\nCd 9.6482 -2.3055 -7.7741\nCd -14.0353 8.7837 -7.7645\nCd 10.9840 7.2145 -7.7508\nCd -13.9589 -13.5548 -7.5831\nCd 11.0604 -15.1239 -7.5695\nCd -12.6231 -4.0348 -7.5598\nCd 12.3962 -5.6039 -7.5461\nCd -11.2873 5.4853 -7.5365\nCd 13.7320 3.9161 -7.5228\nCd -9.9515 15.0053 -7.5132\nCd -9.8751 -7.3332 -7.3318\nCd 15.1443 -8.9023 -7.3181\nCd -8.5392 2.1869 -7.3085\nCd 16.4801 0.6177 -7.2948\nCd -7.2034 11.7069 -7.2852\nCd -7.1270 -10.6316 -7.1038\nCd -5.7912 -1.1116 -7.0805\nCd 19.2281 -2.6807 -7.0668\nCd -4.4554 8.4085 -7.0572\nCd -3.1196 17.9285 -7.0339\nCd -4.3790 -13.9300 -6.8758\nCd -3.0432 -4.4100 -6.8525\nCd -1.7074 5.1101 -6.8292\nCd -0.3715 14.6301 -6.8059\nCd -1.6310 -17.2284 -6.6478\nCd -0.2951 -7.7084 -6.6245\nCd 1.0407 1.8117 -6.6012\nCd 2.3765 11.3317 -6.5779\nCd 2.4529 -11.0068 -6.3965\nCd 3.7887 -1.4868 -6.3732\nCd 5.1245 8.0333 -6.3499\nCd 6.4603 17.5533 -6.3265\nCd 5.2009 -14.3052 -6.1685\nCd -18.4826 -3.2160 -6.1589\nCd 6.5367 -4.7852 -6.1452\nCd -17.1468 6.3040 -6.1356\nCd 7.8726 4.7349 -6.1219\nCd 9.2084 14.2549 -6.0986\nCd 7.9490 -17.6036 -5.9405\nCd -15.7345 -6.5144 -5.9309\nCd 9.2848 -8.0836 -5.9172\nCd -14.3987 3.0056 -5.9076\nCd 10.6206 1.4365 -5.8939\nCd -13.0629 12.5256 -5.8842\nCd 11.9564 10.9565 -5.8706\nCd -12.9865 -9.8128 -5.7029\nCd 12.0328 -11.3820 -5.6892\nCd -11.6507 -0.2928 -5.6796\nCd 13.3686 -1.8620 -5.6659\nCd -10.3149 9.2272 -5.6562\nCd 14.7045 7.6581 -5.6426\nCd -10.2385 -13.1113 -5.4749\nCd -8.9026 -3.5912 -5.4516\nCd 16.1167 -5.1604 -5.4379\nCd -7.5668 5.9288 -5.4282\nCd 17.4525 4.3597 -5.4146\nCd -6.2310 15.4488 -5.4049\nCd -7.4904 -16.4097 -5.2469\nCd -6.1546 -6.8896 -5.2236\nCd 18.8647 -8.4588 -5.2099\nCd -4.8188 2.6304 -5.2002\nCd 20.2005 1.0613 -5.1866\nCd -3.4830 12.1504 -5.1769\nCd -4.7424 -19.7081 -5.0189\nCd -3.4066 -10.1880 -4.9956\nCd -2.0708 -0.6680 -4.9723\nCd -0.7349 8.8520 -4.9489\nCd 0.6009 18.3721 -4.9256\nCd -0.6585 -13.4865 -4.7676\nCd 0.6773 -3.9664 -4.7443\nCd 2.0131 5.5536 -4.7209\nCd 3.3489 15.0736 -4.6976\nCd 2.0895 -16.7849 -4.5396\nCd 3.4253 -7.2648 -4.5163\nCd -20.2582 3.8243 -4.5066\nCd 4.7611 2.2552 -4.4929\nCd 6.0969 11.7752 -4.4696\nCd 4.8375 -20.0833 -4.3116\nCd -18.8460 -8.9941 -4.3019\nCd 6.1734 -10.5632 -4.2883\nCd -17.5102 0.5259 -4.2786\nCd 7.5092 -1.0432 -4.2649\nCd -16.1743 10.0460 -4.2553\nCd 8.8450 8.4768 -4.2416\nCd 10.1808 17.9969 -4.2183\nCd -16.0979 -12.2925 -4.0740\nCd 8.9214 -13.8617 -4.0603\nCd -14.7621 -2.7725 -4.0506\nCd 10.2572 -4.3416 -4.0370\nCd -13.4263 6.7476 -4.0273\nCd 11.5930 5.1784 -4.0136\nCd -12.0905 16.2676 -4.0040\nCd 12.9288 14.6985 -3.9903\nCd -13.3499 -15.5909 -3.8460\nCd 11.6694 -17.1601 -3.8323\nCd -12.0141 -6.0709 -3.8226\nCd 13.0052 -7.6400 -3.8090\nCd -10.6783 3.4491 -3.7993\nCd 14.3411 1.8800 -3.7856\nCd -9.3425 12.9692 -3.7760\nCd 15.6769 11.4000 -3.7623\nCd -9.2660 -9.3693 -3.5946\nCd 15.7533 -10.9384 -3.5810\nCd -7.9302 0.1507 -3.5713\nCd 17.0891 -1.4184 -3.5576\nCd -6.5944 9.6708 -3.5480\nCd 18.4249 8.1016 -3.5343\nCd -5.2586 19.1908 -3.5247\nCd -6.5180 -12.6677 -3.3666\nCd -5.1822 -3.1477 -3.3433\nCd 19.8371 -4.7168 -3.3296\nCd -3.8464 6.3724 -3.3200\nCd -2.5106 15.8924 -3.2967\nCd -3.7700 -15.9661 -3.1386\nCd -2.4342 -6.4461 -3.1153\nCd -1.0983 3.0739 -3.0920\nCd 0.2375 12.5940 -3.0687\nCd -1.0219 -19.2645 -2.9107\nCd 0.3139 -9.7445 -2.8873\nCd 1.6497 -0.2245 -2.8640\nCd 2.9855 9.2956 -2.8407\nCd 4.3213 18.8156 -2.8174\nCd 3.0619 -13.0429 -2.6593\nCd -20.6216 -1.9537 -2.6497\nCd 4.3977 -3.5229 -2.6360\nCd -19.2858 7.5663 -2.6264\nCd 5.7335 5.9972 -2.6127\nCd 7.0694 15.5172 -2.5894\nCd 5.8100 -16.3413 -2.4313\nCd -17.8736 -5.2521 -2.4217\nCd 7.1458 -6.8213 -2.4080\nCd -16.5377 4.2679 -2.3984\nCd 8.4816 2.6988 -2.3847\nCd -15.2019 13.7879 -2.3750\nCd 9.8174 12.2188 -2.3614\nCd -15.1255 -8.5506 -2.1937\nCd 9.8938 -10.1197 -2.1800\nCd -13.7897 0.9695 -2.1704\nCd 11.2296 -0.5997 -2.1567\nCd -12.4539 10.4895 -2.1471\nCd 12.5654 8.9204 -2.1334\nCd -12.3775 -11.8490 -1.9657\nCd 12.6418 -13.4181 -1.9520\nCd -11.0417 -2.3289 -1.9424\nCd 13.9777 -3.8981 -1.9287\nCd -9.7059 7.1911 -1.9191\nCd 15.3135 5.6220 -1.9054\nCd -8.3700 16.7111 -1.8957\nCd -9.6294 -15.1474 -1.7377\nCd -8.2936 -5.6273 -1.7144\nCd 16.7257 -7.1965 -1.7007\nCd -6.9578 3.8927 -1.6911\nCd 18.0615 2.3236 -1.6774\nCd -5.6220 13.4127 -1.6677\nCd -6.8814 -18.4458 -1.5097\nCd -5.5456 -8.9258 -1.4864\nCd -4.2098 0.5943 -1.4631\nCd 20.8095 -0.9749 -1.4494\nCd -2.8740 10.1143 -1.4397\nCd -1.5382 19.6344 -1.4164\nCd -2.7976 -12.2242 -1.2584\nCd -1.4617 -2.7041 -1.2351\nCd -0.1259 6.8159 -1.2117\nCd 1.2099 16.3359 -1.1884\nCd -0.0495 -15.5226 -1.0304\nCd 1.2863 -6.0025 -1.0071\nCd 2.6221 3.5175 -0.9838\nCd 3.9579 13.0375 -0.9604\nCd 2.6985 -18.8210 -0.8024\nCd 4.0343 -9.3009 -0.7791\nCd -19.6492 1.7882 -0.7694\nCd 5.3701 0.2191 -0.7558\nCd 6.7060 9.7391 -0.7324\nCd 8.0418 19.2592 -0.7091\nCd -18.2370 -11.0302 -0.5648\nCd 6.7824 -12.5994 -0.5511\nCd -16.9011 -1.5102 -0.5414\nCd 8.1182 -3.0793 -0.5278\nCd -15.5653 8.0099 -0.5181\nCd 9.4540 6.4407 -0.5044\nCd 10.7898 15.9607 -0.4811\nCd -15.4889 -14.3286 -0.3368\nCd 9.5304 -15.8978 -0.3231\nCd -14.1531 -4.8086 -0.3134\nCd 10.8662 -6.3777 -0.2998\nCd -12.8173 4.7114 -0.2901\nCd 12.2020 3.1423 -0.2764\nCd -11.4815 14.2315 -0.2668\nCd 13.5378 12.6623 -0.2531\nCd -11.4051 -8.1070 -0.0855\nCd 13.6143 -9.6761 -0.0718\nCd -10.0693 1.4130 -0.0621\nCd 14.9501 -0.1561 -0.0485\nCd -8.7334 10.9331 -0.0388\nCd 16.2859 9.3639 -0.0251\nCd -8.6570 -11.4054 0.1425\nCd 16.3623 -12.9746 0.1562\nCd -7.3212 -1.8854 0.1659\nCd 17.6981 -3.4545 0.1795\nCd -5.9854 7.6347 0.1892\nCd 19.0339 6.0655 0.2029\nCd -4.6496 17.1547 0.2125\nCd -5.9090 -14.7038 0.3705\nCd -4.5732 -5.1838 0.3939\nCd -3.2374 4.3362 0.4172\nCd -1.9016 13.8563 0.4405\nCd -3.1610 -18.0022 0.5985\nCd -1.8251 -8.4822 0.6219\nCd -0.4893 1.0378 0.6452\nCd 0.8465 10.5579 0.6685\nCd 2.1823 20.0779 0.6918\nCd -0.4129 -21.3006 0.8265\nCd 0.9229 -11.7806 0.8499\nCd 2.2587 -2.2606 0.8732\nCd 3.5945 7.2595 0.8965\nCd 4.9303 16.7795 0.9198\nCd 3.6709 -15.0790 1.0778\nCd -20.0126 -3.9898 1.0875\nCd 5.0067 -5.5590 1.1012\nCd -18.6768 5.5302 1.1108\nCd 6.3426 3.9610 1.1245\nCd 7.6784 13.4811 1.1478\nCd 6.4190 -18.3774 1.3058\nCd -17.2645 -7.2883 1.3155\nCd 7.7548 -8.8574 1.3292\nCd -15.9287 2.2318 1.3388\nCd 9.0906 0.6626 1.3525\nCd -14.5929 11.7518 1.3621\nCd 10.4264 10.1827 1.3758\nCd -14.5165 -10.5867 1.5435\nCd 10.5028 -12.1558 1.5572\nCd -13.1807 -1.0666 1.5668\nCd 11.8386 -2.6358 1.5805\nCd -11.8449 8.4534 1.5901\nCd 13.1744 6.8843 1.6038\nCd -10.5091 17.9734 1.6135\nCd -11.7685 -13.8851 1.7715\nCd 13.2509 -15.4542 1.7852\nCd -10.4327 -4.3650 1.7948\nCd 14.5867 -5.9342 1.8085\nCd -9.0968 5.1550 1.8181\nCd 15.9225 3.5858 1.8318\nCd -7.7610 14.6750 1.8415\nCd -9.0204 -17.1835 1.9995\nCd -7.6846 -7.6635 2.0228\nCd 17.3347 -9.2326 2.0365\nCd -6.3488 1.8566 2.0461\nCd 18.6705 0.2874 2.0598\nCd -5.0130 11.3766 2.0694\nCd -3.6772 20.8966 2.0928\nCd -4.9366 -10.9619 2.2508\nCd -3.6008 -1.4418 2.2741\nCd -2.2650 8.0782 2.2974\nCd -0.9291 17.5982 2.3208\nCd -2.1885 -14.2603 2.4788\nCd -0.8527 -4.7402 2.5021\nCd 0.4831 4.7798 2.5254\nCd 1.8189 14.2998 2.5488\nCd 0.5595 -17.5587 2.7068\nCd 1.8953 -8.0387 2.7301\nCd 3.2311 1.4814 2.7534\nCd 4.5669 11.0014 2.7768\nCd 3.3075 -20.8571 2.9348\nCd 4.6433 -11.3371 2.9581\nCd -19.0402 -0.2479 2.9677\nCd 5.9792 -1.8170 2.9814\nCd -17.7043 9.2721 2.9911\nCd 7.3150 7.7030 3.0047\nCd 8.6508 17.2230 3.0281\nCd 7.3914 -14.6355 3.1861\nCd -16.2921 -3.5463 3.1957\nCd 8.7272 -5.1154 3.2094\nCd -14.9563 5.9737 3.2191\nCd 10.0630 4.4046 3.2327\nCd -13.6205 15.4938 3.2424\nCd 11.3988 13.9246 3.2561\nCd 10.1394 -17.9339 3.4141\nCd -13.5441 -6.8447 3.4237\nCd 11.4752 -8.4139 3.4374\nCd -12.2083 2.6753 3.4471\nCd 12.8110 1.1062 3.4607\nCd -10.8725 12.1954 3.4704\nCd 14.1469 10.6262 3.4841\nCd -10.7961 -10.1431 3.6517\nCd 14.2233 -11.7123 3.6654\nCd -9.4602 -0.6231 3.6751\nCd 15.5591 -2.1922 3.6887\nCd -8.1244 8.8969 3.6984\nCd 16.8949 7.3278 3.7121\nCd -6.7886 18.4170 3.7217\nCd -8.0480 -13.4415 3.8797\nCd -6.7122 -3.9215 3.9031\nCd 18.3071 -5.4906 3.9167\nCd -5.3764 5.5985 3.9264\nCd 19.6429 4.0294 3.9400\nCd -4.0406 15.1186 3.9497\nCd -5.3000 -16.7399 4.1077\nCd -3.9642 -7.2199 4.1310\nCd -2.6284 2.3001 4.1544\nCd -1.2925 11.8202 4.1777\nCd -2.5519 -20.0384 4.3357\nCd -1.2161 -10.5183 4.3590\nCd 0.1197 -0.9983 4.3824\nCd 1.4555 8.5218 4.4057\nCd 2.7913 18.0418 4.4290\nCd 1.5319 -13.8167 4.5870\nCd 2.8677 -4.2967 4.6104\nCd 4.2035 5.2233 4.6337\nCd 5.5393 14.7434 4.6570\nCd 4.2799 -17.1151 4.8150\nCd -19.4036 -6.0260 4.8247\nCd 5.6158 -7.5951 4.8384\nCd -18.0677 3.4941 4.8480\nCd 6.9516 1.9249 4.8617\nCd 8.2874 11.4450 4.8850\nCd -16.6555 -9.3244 5.0527\nCd 8.3638 -10.8935 5.0663\nCd -15.3197 0.1957 5.0760\nCd 9.6996 -1.3735 5.0897\nCd -13.9839 9.7157 5.0993\nCd 11.0354 8.1466 5.1130\nCd -13.9075 -12.6228 5.2807\nCd 11.1118 -14.1919 5.2943\nCd -12.5717 -3.1028 5.3040\nCd 12.4476 -4.6719 5.3177\nCd -11.2359 6.4173 5.3273\nCd 13.7835 4.8481 5.3410\nCd -9.9000 15.9373 5.3506\nCd -11.1595 -15.9212 5.5087\nCd -9.8236 -6.4012 5.5320\nCd 15.1957 -7.9703 5.5457\nCd -8.4878 3.1189 5.5553\nCd 16.5315 1.5497 5.5690\nCd -7.1520 12.6389 5.5786\nCd -7.0756 -9.6996 5.7600\nCd -5.7398 -0.1795 5.7833\nCd 19.2795 -1.7487 5.7970\nCd -4.4040 9.3405 5.8066\nCd -3.0682 18.8605 5.8300\nCd -4.3276 -12.9980 5.9880\nCd -2.9918 -3.4779 6.0113\nCd -1.6559 6.0421 6.0346\nCd -0.3201 15.5621 6.0579\nCd -1.5795 -16.2964 6.2160\nCd -0.2437 -6.7764 6.2393\nCd 1.0921 2.7437 6.2626\nCd 2.4279 12.2637 6.2859\nCd 1.1685 -19.5948 6.4440\nCd 2.5043 -10.0748 6.4673\nCd 3.8401 -0.5547 6.4906\nCd 5.1759 8.9653 6.5139\nCd 6.5118 18.4853 6.5373\nCd 5.2524 -13.3732 6.6953\nCd -18.4311 -2.2840 6.7049\nCd 6.5882 -3.8531 6.7186\nCd -17.0953 7.2360 6.7283\nCd 7.9240 5.6669 6.7419\nCd 9.2598 15.1869 6.7653\nCd 8.0004 -16.6716 6.9233\nCd -15.6831 -5.5824 6.9329\nCd 9.3362 -7.1516 6.9466\nCd -14.3473 3.9376 6.9562\nCd 10.6720 2.3685 6.9699\nCd -13.0115 13.4577 6.9796\nCd 12.0078 11.8885 6.9932\nCd -12.9351 -8.8808 7.1609\nCd 12.0842 -10.4500 7.1746\nCd -11.5993 0.6392 7.1842\nCd 13.4201 -0.9299 7.1979\nCd -10.2634 10.1592 7.2076\nCd 14.7559 8.5901 7.2212\nCd -10.1870 -12.1792 7.3889\nCd -8.8512 -2.6592 7.4122\nCd 16.1681 -4.2283 7.4259\nCd -7.5154 6.8608 7.4356\nCd 17.5039 5.2917 7.4492\nCd -6.1796 16.3809 7.4589\nCd -7.4390 -15.4776 7.6169\nCd -6.1032 -5.9576 7.6402\nCd -4.7674 3.5624 7.6636\nCd -3.4316 13.0825 7.6869\nCd -4.6910 -18.7761 7.8449\nCd -3.3552 -9.2560 7.8682\nCd -2.0193 0.2640 7.8916\nCd -0.6835 9.7840 7.9149\nCd 0.6523 19.3041 7.9382\nCd -0.6071 -12.5544 8.0962\nCd 0.7287 -3.0344 8.1195\nCd 2.0645 6.4856 8.1429\nCd 3.4003 16.0057 8.1662\nCd 2.1409 -15.8528 8.3242\nCd 3.4767 -6.3328 8.3475\nCd 4.8126 3.1872 8.3709\nCd 6.1484 12.7073 8.3942\nCd 6.2248 -9.6312 8.5755\nCd -17.4587 1.4580 8.5852\nCd 7.5606 -0.1112 8.5989\nCd -16.1229 10.9780 8.6085\nCd 8.8964 9.4088 8.6222\nCd 8.9728 -12.9296 8.8035\nCd -14.7107 -1.8405 8.8132\nCd 10.3086 -3.4096 8.8269\nCd -13.3749 7.6796 8.8365\nCd 11.6444 6.1104 8.8502\nCd -11.9627 -5.1389 9.0412\nCd 13.0567 -6.7080 9.0548\nCd -10.6268 4.3812 9.0645\nCd 14.3925 2.8120 9.0782\nCd -9.2910 13.9012 9.0878\nCd -9.2146 -8.4373 9.2692\nCd 15.8047 -10.0064 9.2828\nCd -7.8788 1.0828 9.2925\nCd 17.1405 -0.4864 9.3062\nCd -6.5430 10.6028 9.3158\nCd -6.4666 -11.7357 9.4972\nCd -5.1308 -2.2157 9.5205\nCd -3.7950 7.3044 9.5438\nCd -2.4591 16.8244 9.5671\nCd -3.7186 -15.0341 9.7252\nCd -2.3827 -5.5141 9.7485\nCd -1.0469 4.0060 9.7718\nCd 0.2889 13.5260 9.7951\nCd -0.9705 -18.3325 9.9532\nCd 0.3653 -8.8125 9.9765\nCd 1.7011 0.7076 9.9998\nCd 3.0369 10.2276 10.0231\nCd 3.1133 -12.1109 10.2045\nCd 4.4492 -2.5909 10.2278\nCd 5.7850 6.9292 10.2511\nCd 7.1208 16.4492 10.2744\nCd 5.8614 -15.4093 10.4325\nCd -17.8221 -4.3201 10.4421\nCd 7.1972 -5.8893 10.4558\nCd -16.4863 5.1999 10.4654\nCd 8.5330 3.6308 10.4791\nCd 9.8688 13.1508 10.5024\nCd -15.0741 -7.6185 10.6701\nCd 9.9452 -9.1877 10.6838\nCd -13.7383 1.9015 10.6934\nCd 11.2810 0.3324 10.7071\nCd -12.4025 11.4215 10.7168\nCd 12.6169 9.8524 10.7304\nCd -12.3261 -10.9169 10.8981\nCd 12.6933 -12.4861 10.9118\nCd -10.9902 -1.3969 10.9214\nCd 14.0291 -2.9660 10.9351\nCd -9.6544 8.1231 10.9447\nCd 15.3649 6.5540 10.9584\nCd -9.5780 -14.2154 11.1261\nCd -8.2422 -4.6953 11.1494\nCd 16.7771 -6.2645 11.1631\nCd -6.9064 4.8247 11.1727\nCd -5.5706 14.3448 11.1961\nCd -5.4942 -7.9937 11.3774\nCd -4.1584 1.5263 11.4007\nCd -2.8225 11.0463 11.4241\nCd -2.7461 -11.2921 11.6054\nCd -1.4103 -1.7721 11.6287\nCd -0.0745 7.7479 11.6521\nCd 1.2613 17.2680 11.6754\nCd 0.0019 -14.5906 11.8334\nCd 1.3377 -5.0705 11.8567\nCd 2.6735 4.4495 11.8801\nCd 4.0093 13.9696 11.9034\nCd 4.0858 -8.3689 12.0847\nCd 5.4216 1.1511 12.1080\nCd 6.7574 10.6711 12.1314\nCd 6.8338 -11.6673 12.3127\nCd -16.8497 -0.5782 12.3224\nCd 8.1696 -2.1473 12.3360\nCd 9.5054 7.3727 12.3594\nCd -14.1017 -3.8766 12.5504\nCd 10.9176 -5.4457 12.5640\nCd -12.7659 5.6435 12.5737\nCd 12.2535 4.0743 12.5874\nCd -11.3536 -7.1750 12.7784\nCd 13.6657 -8.7441 12.7920\nCd -10.0178 2.3451 12.8017\nCd 15.0015 0.7759 12.8154\nCd -8.6820 11.8651 12.8250\nCd -8.6056 -10.4734 13.0063\nCd -7.2698 -0.9534 13.0297\nCd -5.9340 8.5667 13.0530\nCd -5.8576 -13.7718 13.2343\nCd -4.5218 -4.2518 13.2577\nCd -3.1859 5.2683 13.2810\nCd -1.8501 14.7883 13.3043\nCd -1.7737 -7.5502 13.4857\nCd -0.4379 1.9699 13.5090\nCd 0.8979 11.4899 13.5323\nCd 0.9743 -10.8486 13.7137\nCd 2.3101 -1.3286 13.7370\nCd 3.6459 8.1915 13.7603\nCd 3.7224 -14.1470 13.9417\nCd 5.0582 -4.6270 13.9650\nCd 6.3940 4.8931 13.9883\nCd 7.8062 -7.9254 14.1930\nCd 9.1420 1.5947 14.2163\nCd 10.4778 11.1147 14.2396\nCd 10.5542 -11.2238 14.4210\nCd -13.1293 -0.1346 14.4306\nCd 11.8901 -1.7038 14.4443\nCd -11.7935 9.3854 14.4539\nCd 13.2259 7.8163 14.4676\nCd -10.3812 -3.4330 14.6586\nCd 14.6381 -5.0022 14.6723\nCd -9.0454 6.0870 14.6819\nCd -7.6332 -6.7314 14.8866\nCd -6.2974 2.7886 14.9099\nCd -4.9616 12.3086 14.9333\nCd -4.8852 -10.0298 15.1146\nCd -3.5493 -0.5098 15.1379\nCd -2.2135 9.0102 15.1612\nCd -2.1371 -13.3283 15.3426\nCd -0.8013 -3.8082 15.3659\nCd 0.5345 5.7118 15.3892\nCd 1.9467 -7.1066 15.5939\nCd 3.2825 2.4134 15.6172\nCd 4.6184 11.9334 15.6406\nCd 4.6948 -10.4050 15.8219\nCd 6.0306 -0.8850 15.8452\nCd 7.3664 8.6350 15.8686\nCd 8.7786 -4.1834 16.0732\nCd 10.1144 5.3366 16.0965\nCd 11.5267 -7.4818 16.3012\nCd -12.1569 3.6073 16.3109\nCd 12.8625 2.0382 16.3245\nCd -9.4088 0.3089 16.5389\nCd -8.0730 9.8290 16.5622\nCd -6.6608 -2.9895 16.7669\nCd -5.3250 6.5306 16.7902\nCd -3.9127 -6.2879 16.9949\nCd -2.5769 3.2321 17.0182\nCd -1.2411 12.7522 17.0415\nCd -1.1647 -9.5863 17.2228\nCd 0.1711 -0.0663 17.2462\nCd 1.5069 9.4538 17.2695\nCd 2.9191 -3.3647 17.4742\nCd 4.2550 6.1554 17.4975\nCd 5.6672 -6.6631 17.7022\nCd 7.0030 2.8570 17.7255\nCd 9.7510 -0.4415 17.9535\nCd -8.4364 4.0509 18.4191\nCd -5.6884 0.7525 18.6471\nCd -2.9403 -2.5459 18.8751\nCd -1.6045 6.9741 18.8984\nCd -0.1923 -5.8443 19.1031\nCd 1.1435 3.6757 19.1264\nCd 3.8916 0.3773 19.3544\nCd 6.6396 -2.9211 19.5824\nCd -1.9679 1.1960 20.7554\nCd 0.7801 -2.1024 20.9834\nSe -0.7801 2.1024 -20.9834\nSe 1.9679 -1.1960 -20.7554\nSe -6.6396 2.9211 -19.5824\nSe -3.8916 -0.3773 -19.3544\nSe -1.1435 -3.6757 -19.1264\nSe 0.1923 5.8443 -19.1031\nSe 1.6045 -6.9741 -18.8984\nSe 2.9403 2.5459 -18.8751\nSe 5.6884 -0.7525 -18.6471\nSe 8.4364 -4.0509 -18.4191\nSe -9.7510 0.4415 -17.9535\nSe -7.0030 -2.8570 -17.7255\nSe -5.6672 6.6631 -17.7022\nSe -4.2550 -6.1554 -17.4975\nSe -2.9191 3.3647 -17.4742\nSe -1.5069 -9.4538 -17.2695\nSe -0.1711 0.0663 -17.2462\nSe 1.1647 9.5863 -17.2228\nSe 1.2411 -12.7522 -17.0415\nSe 2.5769 -3.2321 -17.0182\nSe 3.9127 6.2879 -16.9949\nSe 5.3250 -6.5306 -16.7902\nSe 6.6608 2.9895 -16.7669\nSe 8.0730 -9.8290 -16.5622\nSe 9.4088 -0.3089 -16.5389\nSe -12.8625 -2.0382 -16.3245\nSe 12.1569 -3.6073 -16.3109\nSe -11.5267 7.4818 -16.3012\nSe -10.1144 -5.3366 -16.0965\nSe -8.7786 4.1834 -16.0732\nSe -7.3664 -8.6350 -15.8686\nSe -6.0306 0.8850 -15.8452\nSe -4.6948 10.4050 -15.8219\nSe -4.6184 -11.9334 -15.6406\nSe -3.2825 -2.4134 -15.6172\nSe -1.9467 7.1066 -15.5939\nSe -0.5345 -5.7118 -15.3892\nSe 0.8013 3.8082 -15.3659\nSe 2.1371 13.3283 -15.3426\nSe 2.2135 -9.0102 -15.1612\nSe 3.5493 0.5098 -15.1379\nSe 4.8852 10.0298 -15.1146\nSe 4.9616 -12.3086 -14.9333\nSe 6.2974 -2.7886 -14.9099\nSe 7.6332 6.7314 -14.8866\nSe 9.0454 -6.0870 -14.6819\nSe -14.6381 5.0022 -14.6723\nSe 10.3812 3.4330 -14.6586\nSe -13.2259 -7.8163 -14.4676\nSe 11.7935 -9.3854 -14.4539\nSe -11.8901 1.7038 -14.4443\nSe 13.1293 0.1346 -14.4306\nSe -10.5542 11.2238 -14.4210\nSe -10.4778 -11.1147 -14.2396\nSe -9.1420 -1.5947 -14.2163\nSe -7.8062 7.9254 -14.1930\nSe -6.3940 -4.8931 -13.9883\nSe -5.0582 4.6270 -13.9650\nSe -3.7224 14.1470 -13.9417\nSe -3.6459 -8.1915 -13.7603\nSe -2.3101 1.3286 -13.7370\nSe -0.9743 10.8486 -13.7137\nSe -0.8979 -11.4899 -13.5323\nSe 0.4379 -1.9699 -13.5090\nSe 1.7737 7.5502 -13.4857\nSe 1.8501 -14.7883 -13.3043\nSe 3.1859 -5.2683 -13.2810\nSe 4.5218 4.2518 -13.2577\nSe 5.8576 13.7718 -13.2343\nSe 5.9340 -8.5667 -13.0530\nSe 7.2698 0.9534 -13.0297\nSe 8.6056 10.4734 -13.0063\nSe 8.6820 -11.8651 -12.8250\nSe -15.0015 -0.7759 -12.8154\nSe 10.0178 -2.3451 -12.8017\nSe -13.6657 8.7441 -12.7920\nSe 11.3536 7.1750 -12.7784\nSe -12.2535 -4.0743 -12.5874\nSe 12.7659 -5.6435 -12.5737\nSe -10.9176 5.4457 -12.5640\nSe 14.1017 3.8766 -12.5504\nSe -9.5054 -7.3727 -12.3594\nSe -8.1696 2.1473 -12.3360\nSe 16.8497 0.5782 -12.3224\nSe -6.8338 11.6673 -12.3127\nSe -6.7574 -10.6711 -12.1314\nSe -5.4216 -1.1511 -12.1080\nSe -4.0858 8.3689 -12.0847\nSe -4.0093 -13.9696 -11.9034\nSe -2.6735 -4.4495 -11.8801\nSe -1.3377 5.0705 -11.8567\nSe -0.0019 14.5906 -11.8334\nSe -1.2613 -17.2680 -11.6754\nSe 0.0745 -7.7479 -11.6521\nSe 1.4103 1.7721 -11.6287\nSe 2.7461 11.2921 -11.6054\nSe 2.8225 -11.0463 -11.4241\nSe 4.1584 -1.5263 -11.4007\nSe 5.4942 7.9937 -11.3774\nSe 5.5706 -14.3448 -11.1961\nSe 6.9064 -4.8247 -11.1727\nSe -16.7771 6.2645 -11.1631\nSe 8.2422 4.6953 -11.1494\nSe 9.5780 14.2154 -11.1261\nSe -15.3649 -6.5540 -10.9584\nSe 9.6544 -8.1231 -10.9447\nSe -14.0291 2.9660 -10.9351\nSe 10.9902 1.3969 -10.9214\nSe -12.6933 12.4861 -10.9118\nSe 12.3261 10.9169 -10.8981\nSe -12.6169 -9.8524 -10.7304\nSe 12.4025 -11.4215 -10.7168\nSe -11.2810 -0.3324 -10.7071\nSe 13.7383 -1.9015 -10.6934\nSe -9.9452 9.1877 -10.6838\nSe 15.0741 7.6185 -10.6701\nSe -9.8688 -13.1508 -10.5024\nSe -8.5330 -3.6308 -10.4791\nSe 16.4863 -5.1999 -10.4654\nSe -7.1972 5.8893 -10.4558\nSe 17.8221 4.3201 -10.4421\nSe -5.8614 15.4093 -10.4325\nSe -7.1208 -16.4492 -10.2744\nSe -5.7850 -6.9292 -10.2511\nSe -4.4492 2.5909 -10.2278\nSe -3.1133 12.1109 -10.2045\nSe -3.0369 -10.2276 -10.0231\nSe -1.7011 -0.7076 -9.9998\nSe -0.3653 8.8125 -9.9765\nSe 0.9705 18.3325 -9.9532\nSe -0.2889 -13.5260 -9.7951\nSe 1.0469 -4.0060 -9.7718\nSe 2.3827 5.5141 -9.7485\nSe 3.7186 15.0341 -9.7252\nSe 2.4591 -16.8244 -9.5671\nSe 3.7950 -7.3044 -9.5438\nSe 5.1308 2.2157 -9.5205\nSe 6.4666 11.7357 -9.4972\nSe 6.5430 -10.6028 -9.3158\nSe -17.1405 0.4864 -9.3062\nSe 7.8788 -1.0828 -9.2925\nSe -15.8047 10.0064 -9.2828\nSe 9.2146 8.4373 -9.2692\nSe 9.2910 -13.9012 -9.0878\nSe -14.3925 -2.8120 -9.0782\nSe 10.6268 -4.3812 -9.0645\nSe -13.0567 6.7080 -9.0548\nSe 11.9627 5.1389 -9.0412\nSe -11.6444 -6.1104 -8.8502\nSe 13.3749 -7.6796 -8.8365\nSe -10.3086 3.4096 -8.8269\nSe 14.7107 1.8405 -8.8132\nSe -8.9728 12.9296 -8.8035\nSe -8.8964 -9.4088 -8.6222\nSe 16.1229 -10.9780 -8.6085\nSe -7.5606 0.1112 -8.5989\nSe 17.4587 -1.4580 -8.5852\nSe -6.2248 9.6312 -8.5755\nSe -6.1484 -12.7073 -8.3942\nSe -4.8126 -3.1872 -8.3709\nSe -3.4767 6.3328 -8.3475\nSe -2.1409 15.8528 -8.3242\nSe -3.4003 -16.0057 -8.1662\nSe -2.0645 -6.4856 -8.1429\nSe -0.7287 3.0344 -8.1195\nSe 0.6071 12.5544 -8.0962\nSe -0.6523 -19.3041 -7.9382\nSe 0.6835 -9.7840 -7.9149\nSe 2.0193 -0.2640 -7.8916\nSe 3.3552 9.2560 -7.8682\nSe 4.6910 18.7761 -7.8449\nSe 3.4316 -13.0825 -7.6869\nSe 4.7674 -3.5624 -7.6636\nSe 6.1032 5.9576 -7.6402\nSe 7.4390 15.4776 -7.6169\nSe 6.1796 -16.3809 -7.4589\nSe -17.5039 -5.2917 -7.4492\nSe 7.5154 -6.8608 -7.4356\nSe -16.1681 4.2283 -7.4259\nSe 8.8512 2.6592 -7.4122\nSe 10.1870 12.1792 -7.3889\nSe -14.7559 -8.5901 -7.2212\nSe 10.2634 -10.1592 -7.2076\nSe -13.4201 0.9299 -7.1979\nSe 11.5993 -0.6392 -7.1842\nSe -12.0842 10.4500 -7.1746\nSe 12.9351 8.8808 -7.1609\nSe -12.0078 -11.8885 -6.9932\nSe 13.0115 -13.4577 -6.9796\nSe -10.6720 -2.3685 -6.9699\nSe 14.3473 -3.9376 -6.9562\nSe -9.3362 7.1516 -6.9466\nSe 15.6831 5.5824 -6.9329\nSe -8.0004 16.6716 -6.9233\nSe -9.2598 -15.1869 -6.7653\nSe -7.9240 -5.6669 -6.7419\nSe 17.0953 -7.2360 -6.7283\nSe -6.5882 3.8531 -6.7186\nSe 18.4311 2.2840 -6.7049\nSe -5.2524 13.3732 -6.6953\nSe -6.5118 -18.4853 -6.5373\nSe -5.1759 -8.9653 -6.5139\nSe -3.8401 0.5547 -6.4906\nSe -2.5043 10.0748 -6.4673\nSe -1.1685 19.5948 -6.4440\nSe -2.4279 -12.2637 -6.2859\nSe -1.0921 -2.7437 -6.2626\nSe 0.2437 6.7764 -6.2393\nSe 1.5795 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-11.7069 7.2852\nSe -16.4801 -0.6177 7.2948\nSe 8.5392 -2.1869 7.3085\nSe -15.1443 8.9023 7.3181\nSe 9.8751 7.3332 7.3318\nSe 9.9515 -15.0053 7.5132\nSe -13.7320 -3.9161 7.5228\nSe 11.2873 -5.4853 7.5365\nSe -12.3962 5.6039 7.5461\nSe 12.6231 4.0348 7.5598\nSe -11.0604 15.1239 7.5695\nSe 13.9589 13.5548 7.5831\nSe -10.9840 -7.2145 7.7508\nSe 14.0353 -8.7837 7.7645\nSe -9.6482 2.3055 7.7741\nSe 15.3711 0.7364 7.7878\nSe -8.3124 11.8255 7.7975\nSe 16.7069 10.2564 7.8111\nSe -8.2360 -10.5129 7.9788\nSe -6.9001 -0.9929 8.0021\nSe 18.1192 -2.5620 8.0158\nSe -5.5643 8.5271 8.0255\nSe -4.2285 18.0472 8.0488\nSe -5.4879 -13.8114 8.2068\nSe -4.1521 -4.2913 8.2301\nSe -2.8163 5.2287 8.2534\nSe -1.4805 14.7487 8.2768\nSe -2.7399 -17.1098 8.4348\nSe -1.4041 -7.5897 8.4581\nSe -0.0683 1.9303 8.4814\nSe 1.2676 11.4503 8.5048\nSe 1.3440 -10.8881 8.6861\nSe 2.6798 -1.3681 8.7094\nSe 4.0156 8.1519 8.7328\nSe 5.3514 17.6720 8.7561\nSe 4.0920 -14.1866 8.9141\nSe 5.4278 -4.6665 8.9374\nSe -18.2557 6.4227 8.9471\nSe 6.7636 4.8535 8.9608\nSe 8.0994 14.3736 8.9841\nSe 6.8400 -17.4850 9.1421\nSe -16.8435 -6.3958 9.1518\nSe 8.1758 -7.9649 9.1654\nSe -15.5077 3.1242 9.1751\nSe 9.5117 1.5551 9.1887\nSe -14.1718 12.6443 9.1984\nSe 10.8475 11.0751 9.2121\nSe -14.0954 -9.6942 9.3797\nSe 10.9239 -11.2633 9.3934\nSe -12.7596 -0.1742 9.4031\nSe 12.2597 -1.7433 9.4167\nSe -11.4238 9.3459 9.4264\nSe 13.5955 7.7767 9.4401\nSe -11.3474 -12.9926 9.6077\nSe -10.0116 -3.4726 9.6311\nSe 15.0077 -5.0417 9.6447\nSe -8.6758 6.0475 9.6544\nSe 16.3435 4.4783 9.6681\nSe -7.3400 15.5675 9.6777\nSe -8.5994 -16.2910 9.8357\nSe -7.2635 -6.7710 9.8591\nSe -5.9277 2.7491 9.8824\nSe -4.5919 12.2691 9.9057\nSe -4.5155 -10.0694 10.0871\nSe -3.1797 -0.5494 10.1104\nSe -1.8439 8.9707 10.1337\nSe -0.5081 18.4907 10.1570\nSe -1.7675 -13.3678 10.3150\nSe -0.4317 -3.8478 10.3384\nSe 0.9042 5.6723 10.3617\nSe 2.2400 15.1923 10.3850\nSe 0.9806 -16.6662 10.5430\nSe 2.3164 -7.1462 10.5664\nSe 3.6522 2.3739 10.5897\nSe 4.9880 11.8939 10.6130\nSe 5.0644 -10.4446 10.7944\nSe 6.4002 -0.9246 10.8177\nSe 7.7360 8.5955 10.8410\nSe 7.8124 -13.7430 11.0224\nSe -15.8711 -2.6538 11.0320\nSe 9.1483 -4.2230 11.0457\nSe -14.5352 6.8662 11.0553\nSe 10.4841 5.2971 11.0690\nSe -13.1230 -5.9522 11.2600\nSe 11.8963 -7.5214 11.2737\nSe -11.7872 3.5678 11.2833\nSe 13.2321 1.9987 11.2970\nSe -10.4514 13.0878 11.3066\nSe -10.3750 -9.2506 11.4880\nSe -9.0392 0.2694 11.5113\nSe 15.9802 -1.2998 11.5250\nSe -7.7034 9.7894 11.5346\nSe -7.6269 -12.5491 11.7160\nSe -6.2911 -3.0290 11.7393\nSe -4.9553 6.4910 11.7626\nSe -3.6195 16.0110 11.7860\nSe -4.8789 -15.8475 11.9440\nSe -3.5431 -6.3274 11.9673\nSe -2.2073 3.1926 11.9906\nSe -0.8715 12.7126 12.0140\nSe -0.7951 -9.6258 12.1953\nSe 0.5408 -0.1058 12.2186\nSe 1.8766 9.4142 12.2419\nSe 1.9530 -12.9243 12.4233\nSe 3.2888 -3.4042 12.4466\nSe 4.6246 6.1158 12.4699\nSe 5.9604 15.6358 12.4933\nSe 4.7010 -16.2227 12.6513\nSe 6.0368 -6.7026 12.6746\nSe 7.3726 2.8174 12.6979\nSe 8.7085 12.3374 12.7213\nSe 8.7849 -10.0010 12.9026\nSe -14.8986 1.0881 12.9123\nSe 10.1207 -0.4810 12.9259\nSe 11.4565 9.0390 12.9493\nSe -12.1506 -2.2103 13.1403\nSe 12.8687 -3.7794 13.1539\nSe -10.8148 7.3098 13.1636\nSe 14.2045 5.7406 13.1773\nSe -9.4026 -5.5087 13.3682\nSe -8.0668 4.0113 13.3916\nSe -6.7309 13.5314 13.4149\nSe -6.6545 -8.8071 13.5962\nSe -5.3187 0.7129 13.6196\nSe -3.9829 10.2330 13.6429\nSe -3.9065 -12.1055 13.8242\nSe -2.5707 -2.5855 13.8476\nSe -1.2349 6.9346 13.8709\nSe -1.1585 -15.4039 14.0522\nSe 0.1774 -5.8839 14.0756\nSe 1.5132 3.6361 14.0989\nSe 2.8490 13.1562 14.1222\nSe 2.9254 -9.1823 14.3035\nSe 4.2612 0.3377 14.3269\nSe 5.5970 9.8578 14.3502\nSe 5.6734 -12.4807 14.5315\nSe 7.0092 -2.9607 14.5549\nSe 8.3451 6.5594 14.5782\nSe 9.7573 -6.2591 14.7829\nSe -13.9262 4.8301 14.7925\nSe 11.0931 3.2609 14.8062\nSe -12.5140 -7.9884 14.9972\nSe -11.1782 1.5317 15.0205\nSe 13.8411 -0.0375 15.0342\nSe -9.8424 11.0517 15.0438\nSe -9.7660 -11.2868 15.2252\nSe -8.4302 -1.7667 15.2485\nSe -7.0943 7.7533 15.2718\nSe -5.6821 -5.0651 15.4765\nSe -4.3463 4.4549 15.4998\nSe -3.0105 13.9749 15.5231\nSe -2.9341 -8.3636 15.7045\nSe -1.5983 1.1565 15.7278\nSe -0.2625 10.6765 15.7511\nSe -0.1860 -11.6620 15.9325\nSe 1.1498 -2.1419 15.9558\nSe 2.4856 7.3781 15.9791\nSe 3.8978 -5.4403 16.1838\nSe 5.2336 4.0797 16.2071\nSe 6.6458 -8.7387 16.4118\nSe 7.9817 0.7813 16.4351\nSe 10.7297 -2.5171 16.6631\nSe -11.5416 -4.2464 16.8774\nSe -10.2058 5.2736 16.9008\nSe -8.7936 -7.5448 17.1054\nSe -7.4577 1.9752 17.1288\nSe -6.0455 -10.8432 17.3334\nSe -4.7097 -1.3232 17.3567\nSe -3.3739 8.1969 17.3801\nSe -1.9617 -4.6216 17.5847\nSe -0.6259 4.8984 17.6081\nSe 0.7864 -7.9200 17.8127\nSe 2.1222 1.6000 17.8361\nSe 3.4580 11.1201 17.8594\nSe 4.8702 -1.6984 18.0641\nSe 6.2060 7.8217 18.0874\nSe 7.6183 -4.9968 18.2920\nSe 8.9541 4.5232 18.3154\nSe -7.8211 -3.8028 18.9857\nSe -6.4853 5.7172 19.0090\nSe -5.0731 -7.1013 19.2137\nSe -3.7373 2.4188 19.2370\nSe -0.9893 -0.8796 19.4650\nSe 0.3466 8.6404 19.4883\nSe 1.7588 -4.1780 19.6930\nSe 3.0946 5.3420 19.7163\nSe 5.8426 2.0436 19.9443\n"
    },
    {
     "name": "CdSe-QD-E.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/qdots/CdSe-QD-E.xyz",
     "sha256": "a88b7448c3660bfa12c4a124a26b721b8914d43ceb6ef8af3d22810dcf7b95e3",
     "chars": 61608
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "CdSe-QD-D.xyz"
    },
    {
     "label": "B",
     "value": "CdSe-QD-C.xyz"
    },
    {
     "label": "C",
     "value": "CdSe-QD-B.xyz"
    },
    {
     "label": "D",
     "value": "CdSe-QD-E.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QD-DES-565",
   "family": "qdot_design",
   "ability": "design",
   "question": "The four XYZ files list every atom of four model zinc-blende CdSe nanocrystals (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: each nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to these ideal particles. You must choose one nanocrystal for a device such that it is the smallest particle whose first excitonic absorption peak lies at or beyond 565 nm. Which file should you choose?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "inputs": [
    {
     "name": "CdSe-QD-A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "420\nModel zinc-blende CdSe nanocrystal CdSe-QD-A (spherical cut, no ligands), angstrom\nCd 0.0856 2.5616 -13.0673\nCd 4.3177 -3.5605 -12.8252\nCd 4.2487 2.4627 -11.9986\nCd -2.4975 -0.6895 -11.9535\nCd 1.7346 -6.8117 -11.7114\nCd -2.5665 5.3336 -11.1268\nCd 8.4118 2.3637 -10.9298\nCd 1.6656 -0.7885 -10.8847\nCd -5.0806 -3.9407 -10.8397\nCd 5.8977 -6.9106 -10.6427\nCd 1.5966 5.2346 -10.0581\nCd -5.1496 2.0824 -10.0130\nCd 5.8287 -0.8875 -9.8160\nCd -0.9175 -4.0397 -9.7709\nCd -5.2187 8.1056 -9.1863\nCd 5.7596 5.1357 -8.9893\nCd -0.9866 1.9835 -8.9443\nCd -7.7328 -1.1687 -8.8992\nCd 9.9917 -0.9865 -8.7473\nCd 3.2455 -4.1387 -8.7022\nCd -3.5007 -7.2909 -8.6571\nCd -1.0556 8.0066 -8.1176\nCd -7.8018 4.8544 -8.0725\nCd 9.9227 5.0367 -7.9206\nCd 3.1765 1.8845 -7.8755\nCd -3.5697 -1.2677 -7.8304\nCd -10.3159 -4.4199 -7.7854\nCd 7.4086 -4.2376 -7.6335\nCd 0.6624 -7.3898 -7.5884\nCd 3.1075 7.9076 -7.0489\nCd -3.6387 4.7554 -7.0038\nCd -10.3849 1.6032 -6.9587\nCd 7.3396 1.7855 -6.8068\nCd 0.5934 -1.3667 -6.7617\nCd -6.1528 -4.5189 -6.7166\nCd 11.5717 -4.3366 -6.5648\nCd 4.8255 -7.4888 -6.5197\nCd -1.9207 -10.6410 -6.4746\nCd -3.7077 10.7786 -6.1771\nCd 7.2706 7.8087 -5.9801\nCd 0.5244 4.6565 -5.9350\nCd -6.2218 1.5043 -5.8900\nCd 11.5027 1.6866 -5.7381\nCd 4.7565 -1.4657 -5.6930\nCd -1.9897 -4.6179 -5.6479\nCd -8.7359 -7.7701 -5.6028\nCd 8.9886 -7.5878 -5.4509\nCd 2.2424 -10.7400 -5.4059\nCd 0.4553 10.6796 -5.1084\nCd -6.2909 7.5274 -5.0633\nCd 4.6874 4.5575 -4.8663\nCd -2.0588 1.4053 -4.8212\nCd -8.8049 -1.7469 -4.7761\nCd 8.9196 -1.5646 -4.6243\nCd 2.1734 -4.7168 -4.5792\nCd -4.5728 -7.8690 -4.5341\nCd 6.4055 -10.8389 -4.3371\nCd 4.6184 10.5806 -4.0397\nCd -2.1278 7.4284 -3.9946\nCd -8.8740 4.2762 -3.9495\nCd 8.8505 4.4585 -3.7976\nCd 2.1043 1.3063 -3.7525\nCd -4.6419 -1.8459 -3.7074\nCd -11.3881 -4.9981 -3.6623\nCd 13.0826 -1.6636 -3.5555\nCd 6.3364 -4.8158 -3.5105\nCd -0.4098 -7.9680 -3.4654\nCd -7.1560 -11.1202 -3.4203\nCd -2.1968 13.4516 -3.1679\nCd -8.9430 10.2994 -3.1228\nCd 8.7815 10.4817 -2.9709\nCd 2.0353 7.3295 -2.9258\nCd -4.7109 4.1773 -2.8807\nCd -11.4571 1.0251 -2.8357\nCd 13.0136 4.3596 -2.7289\nCd 6.2674 1.2074 -2.6838\nCd -0.4788 -1.9449 -2.6387\nCd -7.2250 -5.0971 -2.5936\nCd 10.4995 -4.9148 -2.4417\nCd 3.7533 -8.0670 -2.3966\nCd -2.9929 -11.2192 -2.3516\nCd 1.9663 13.3526 -2.0992\nCd -4.7799 10.2004 -2.0541\nCd -11.5261 7.0482 -2.0090\nCd 6.1984 7.2305 -1.8571\nCd -0.5478 4.0783 -1.8120\nCd -7.2940 0.9261 -1.7669\nCd 10.4305 1.1084 -1.6151\nCd 3.6843 -2.0438 -1.5700\nCd -3.0619 -5.1960 -1.5249\nCd -9.8081 -8.3482 -1.4798\nCd 7.9164 -8.1659 -1.3279\nCd 1.1702 -11.3181 -1.2828\nCd -0.6168 10.1014 -0.9854\nCd -7.3630 6.9492 -0.9403\nCd 10.3615 7.1315 -0.7884\nCd 3.6153 3.9793 -0.7433\nCd -3.1309 0.8271 -0.6982\nCd -9.8771 -2.3251 -0.6531\nCd 7.8474 -2.1428 -0.5012\nCd 1.1012 -5.2950 -0.4562\nCd -5.6450 -8.4472 -0.4111\nCd 5.3333 -11.4171 -0.2141\nCd 3.5462 10.0025 0.0834\nCd -3.2000 6.8503 0.1285\nCd -9.9462 3.6981 0.1736\nCd 7.7783 3.8804 0.3254\nCd 1.0321 0.7282 0.3705\nCd -5.7141 -2.4241 0.4156\nCd -12.4603 -5.5763 0.4607\nCd 12.0104 -2.2418 0.5675\nCd 5.2643 -5.3940 0.6126\nCd -1.4819 -8.5462 0.6577\nCd -3.2690 12.8734 0.9551\nCd -10.0152 9.7212 1.0002\nCd 7.7093 9.9035 1.1521\nCd 0.9631 6.7513 1.1972\nCd -5.7831 3.5991 1.2423\nCd -12.5293 0.4469 1.2874\nCd 11.9414 3.7814 1.3942\nCd 5.1952 0.6292 1.4392\nCd -1.5510 -2.5230 1.4843\nCd -8.2972 -5.6752 1.5294\nCd 9.4273 -5.4929 1.6813\nCd 2.6811 -8.6451 1.7264\nCd -4.0651 -11.7973 1.7715\nCd 0.8941 12.7744 2.0239\nCd -5.8521 9.6222 2.0689\nCd 5.1262 6.6523 2.2659\nCd -1.6200 3.5001 2.3110\nCd -8.3662 0.3479 2.3561\nCd 9.3583 0.5302 2.5080\nCd 2.6121 -2.6220 2.5531\nCd -4.1341 -5.7742 2.5981\nCd 6.8442 -8.7441 2.7951\nCd 0.0980 -11.8963 2.8402\nCd 5.0572 12.6755 3.0926\nCd -1.6890 9.5233 3.1377\nCd -8.4352 6.3711 3.1828\nCd 9.2893 6.5534 3.3346\nCd 2.5431 3.4012 3.3797\nCd -4.2031 0.2490 3.4248\nCd -10.9493 -2.9033 3.4699\nCd 13.5214 0.4312 3.5767\nCd 6.7752 -2.7210 3.6218\nCd 0.0290 -5.8732 3.6669\nCd -6.7172 -9.0254 3.7120\nCd 4.2611 -11.9953 3.9089\nCd 2.4740 9.4243 4.2064\nCd -4.2722 6.2721 4.2515\nCd -11.0184 3.1199 4.2966\nCd 6.7062 3.3022 4.4485\nCd -0.0400 0.1500 4.4935\nCd -6.7862 -3.0022 4.5386\nCd 10.9383 -2.8199 4.6905\nCd 4.1921 -5.9721 4.7356\nCd -2.5541 -9.1243 4.7807\nCd -4.3412 12.2952 5.0782\nCd 6.6371 9.3253 5.2751\nCd -0.1091 6.1731 5.3202\nCd -6.8553 3.0209 5.3653\nCd 10.8692 3.2032 5.5172\nCd 4.1230 0.0510 5.5623\nCd -2.6232 -3.1012 5.6074\nCd -9.3694 -6.2534 5.6524\nCd 8.3551 -6.0711 5.8043\nCd 1.6089 -9.2233 5.8494\nCd -0.1781 12.1963 6.1469\nCd -6.9243 9.0441 6.1920\nCd 4.0540 6.0742 6.3889\nCd -2.6922 2.9220 6.4340\nCd -9.4384 -0.2302 6.4791\nCd 8.2861 -0.0480 6.6310\nCd 1.5399 -3.2002 6.6761\nCd -5.2063 -6.3524 6.7212\nCd 5.7720 -9.3223 6.9181\nCd -2.7612 8.9451 7.2607\nCd -9.5074 5.7929 7.3058\nCd 8.2171 5.9752 7.4577\nCd 1.4709 2.8230 7.5028\nCd -5.2753 -0.3292 7.5478\nCd 5.7030 -3.2991 7.7448\nCd -1.0432 -6.4513 7.7899\nCd 1.4019 8.8461 8.3294\nCd -5.3443 5.6939 8.3745\nCd 5.6340 2.7240 8.5715\nCd -1.1122 -0.4282 8.6166\nCd -7.8584 -3.5804 8.6617\nCd 9.8661 -3.3981 8.8135\nCd 3.1199 -6.5503 8.8586\nCd -3.6263 -9.7025 8.9037\nCd 5.5649 8.7472 9.3981\nCd -1.1813 5.5950 9.4432\nCd -7.9275 2.4428 9.4883\nCd 9.7970 2.6250 9.6402\nCd 3.0508 -0.5272 9.6853\nCd -3.6954 -3.6794 9.7304\nCd 7.2830 -6.6493 9.9273\nCd 0.5368 -9.8015 9.9724\nCd 2.9818 5.4960 10.5120\nCd -3.7644 2.3438 10.5571\nCd 7.2139 -0.6261 10.7540\nCd 0.4677 -3.7783 10.7991\nCd 0.3987 2.2448 11.6258\nCd -6.3475 -0.9074 11.6709\nCd 4.6308 -3.8773 11.8678\nCd -2.1154 -7.0295 11.9129\nCd 4.5618 2.1458 12.6945\nCd -2.1844 -1.0064 12.7396\nCd 1.9787 -1.1053 13.8083\nSe -1.9787 1.1053 -13.8083\nSe 2.1844 1.0064 -12.7396\nSe -4.5618 -2.1458 -12.6945\nSe 2.1154 7.0295 -11.9129\nSe -4.6308 3.8773 -11.8678\nSe 6.3475 0.9074 -11.6709\nSe -0.3987 -2.2448 -11.6258\nSe -0.4677 3.7783 -10.7991\nSe -7.2139 0.6261 -10.7540\nSe 3.7644 -2.3438 -10.5571\nSe -2.9818 -5.4960 -10.5120\nSe -0.5368 9.8015 -9.9724\nSe -7.2830 6.6493 -9.9273\nSe 3.6954 3.6794 -9.7304\nSe -3.0508 0.5272 -9.6853\nSe -9.7970 -2.6250 -9.6402\nSe 7.9275 -2.4428 -9.4883\nSe 1.1813 -5.5950 -9.4432\nSe -5.5649 -8.7472 -9.3981\nSe 3.6263 9.7025 -8.9037\nSe -3.1199 6.5503 -8.8586\nSe -9.8661 3.3981 -8.8135\nSe 7.8584 3.5804 -8.6617\nSe 1.1122 0.4282 -8.6166\nSe -5.6340 -2.7240 -8.5715\nSe 5.3443 -5.6939 -8.3745\nSe -1.4019 -8.8461 -8.3294\nSe 1.0432 6.4513 -7.7899\nSe -5.7030 3.2991 -7.7448\nSe 5.2753 0.3292 -7.5478\nSe -1.4709 -2.8230 -7.5028\nSe -8.2171 -5.9752 -7.4577\nSe 9.5074 -5.7929 -7.3058\nSe 2.7612 -8.9451 -7.2607\nSe -5.7720 9.3223 -6.9181\nSe 5.2063 6.3524 -6.7212\nSe -1.5399 3.2002 -6.6761\nSe -8.2861 0.0480 -6.6310\nSe 9.4384 0.2302 -6.4791\nSe 2.6922 -2.9220 -6.4340\nSe -4.0540 -6.0742 -6.3889\nSe 6.9243 -9.0441 -6.1920\nSe 0.1781 -12.1963 -6.1469\nSe -1.6089 9.2233 -5.8494\nSe -8.3551 6.0711 -5.8043\nSe 9.3694 6.2534 -5.6524\nSe 2.6232 3.1012 -5.6074\nSe -4.1230 -0.0510 -5.5623\nSe -10.8692 -3.2032 -5.5172\nSe 6.8553 -3.0209 -5.3653\nSe 0.1091 -6.1731 -5.3202\nSe -6.6371 -9.3253 -5.2751\nSe 4.3412 -12.2952 -5.0782\nSe 2.5541 9.1243 -4.7807\nSe -4.1921 5.9721 -4.7356\nSe -10.9383 2.8199 -4.6905\nSe 6.7862 3.0022 -4.5386\nSe 0.0400 -0.1500 -4.4935\nSe -6.7062 -3.3022 -4.4485\nSe 11.0184 -3.1199 -4.2966\nSe 4.2722 -6.2721 -4.2515\nSe -2.4740 -9.4243 -4.2064\nSe -4.2611 11.9953 -3.9089\nSe 6.7172 9.0254 -3.7120\nSe -0.0290 5.8732 -3.6669\nSe -6.7752 2.7210 -3.6218\nSe -13.5214 -0.4312 -3.5767\nSe 10.9493 2.9033 -3.4699\nSe 4.2031 -0.2490 -3.4248\nSe -2.5431 -3.4012 -3.3797\nSe -9.2893 -6.5534 -3.3346\nSe 8.4352 -6.3711 -3.1828\nSe 1.6890 -9.5233 -3.1377\nSe -5.0572 -12.6755 -3.0926\nSe -0.0980 11.8963 -2.8402\nSe -6.8442 8.7441 -2.7951\nSe 4.1341 5.7742 -2.5981\nSe -2.6121 2.6220 -2.5531\nSe -9.3583 -0.5302 -2.5080\nSe 8.3662 -0.3479 -2.3561\nSe 1.6200 -3.5001 -2.3110\nSe -5.1262 -6.6523 -2.2659\nSe 5.8521 -9.6222 -2.0689\nSe -0.8941 -12.7744 -2.0239\nSe 4.0651 11.7973 -1.7715\nSe -2.6811 8.6451 -1.7264\nSe -9.4273 5.4929 -1.6813\nSe 8.2972 5.6752 -1.5294\nSe 1.5510 2.5230 -1.4843\nSe -5.1952 -0.6292 -1.4392\nSe -11.9414 -3.7814 -1.3942\nSe 12.5293 -0.4469 -1.2874\nSe 5.7831 -3.5991 -1.2423\nSe -0.9631 -6.7513 -1.1972\nSe -7.7093 -9.9035 -1.1521\nSe 10.0152 -9.7212 -1.0002\nSe 3.2690 -12.8734 -0.9551\nSe 1.4819 8.5462 -0.6577\nSe -5.2643 5.3940 -0.6126\nSe -12.0104 2.2418 -0.5675\nSe 12.4603 5.5763 -0.4607\nSe 5.7141 2.4241 -0.4156\nSe -1.0321 -0.7282 -0.3705\nSe -7.7783 -3.8804 -0.3254\nSe 9.9462 -3.6981 -0.1736\nSe 3.2000 -6.8503 -0.1285\nSe -3.5462 -10.0025 -0.0834\nSe -5.3333 11.4171 0.2141\nSe 5.6450 8.4472 0.4111\nSe -1.1012 5.2950 0.4562\nSe -7.8474 2.1428 0.5012\nSe 9.8771 2.3251 0.6531\nSe 3.1309 -0.8271 0.6982\nSe -3.6153 -3.9793 0.7433\nSe -10.3615 -7.1315 0.7884\nSe 7.3630 -6.9492 0.9403\nSe 0.6168 -10.1014 0.9854\nSe -1.1702 11.3181 1.2828\nSe -7.9164 8.1659 1.3279\nSe 9.8081 8.3482 1.4798\nSe 3.0619 5.1960 1.5249\nSe -3.6843 2.0438 1.5700\nSe -10.4305 -1.1084 1.6151\nSe 7.2940 -0.9261 1.7669\nSe 0.5478 -4.0783 1.8120\nSe -6.1984 -7.2305 1.8571\nSe 11.5261 -7.0482 2.0090\nSe 4.7799 -10.2004 2.0541\nSe -1.9663 -13.3526 2.0992\nSe 2.9929 11.2192 2.3516\nSe -3.7533 8.0670 2.3966\nSe -10.4995 4.9148 2.4417\nSe 7.2250 5.0971 2.5936\nSe 0.4788 1.9449 2.6387\nSe -6.2674 -1.2074 2.6838\nSe -13.0136 -4.3596 2.7289\nSe 11.4571 -1.0251 2.8357\nSe 4.7109 -4.1773 2.8807\nSe -2.0353 -7.3295 2.9258\nSe -8.7815 -10.4817 2.9709\nSe 8.9430 -10.2994 3.1228\nSe 2.1968 -13.4516 3.1679\nSe 7.1560 11.1202 3.4203\nSe 0.4098 7.9680 3.4654\nSe -6.3364 4.8158 3.5105\nSe -13.0826 1.6636 3.5555\nSe 11.3881 4.9981 3.6623\nSe 4.6419 1.8459 3.7074\nSe -2.1043 -1.3063 3.7525\nSe -8.8505 -4.4585 3.7976\nSe 8.8740 -4.2762 3.9495\nSe 2.1278 -7.4284 3.9946\nSe -4.6184 -10.5806 4.0397\nSe -6.4055 10.8389 4.3371\nSe 4.5728 7.8690 4.5341\nSe -2.1734 4.7168 4.5792\nSe -8.9196 1.5646 4.6243\nSe 8.8049 1.7469 4.7761\nSe 2.0588 -1.4053 4.8212\nSe -4.6874 -4.5575 4.8663\nSe 6.2909 -7.5274 5.0633\nSe -0.4553 -10.6796 5.1084\nSe -2.2424 10.7400 5.4059\nSe -8.9886 7.5878 5.4509\nSe 8.7359 7.7701 5.6028\nSe 1.9897 4.6179 5.6479\nSe -4.7565 1.4657 5.6930\nSe -11.5027 -1.6866 5.7381\nSe 6.2218 -1.5043 5.8900\nSe -0.5244 -4.6565 5.9350\nSe -7.2706 -7.8087 5.9801\nSe 3.7077 -10.7786 6.1771\nSe 1.9207 10.6410 6.4746\nSe -4.8255 7.4888 6.5197\nSe -11.5717 4.3366 6.5648\nSe 6.1528 4.5189 6.7166\nSe -0.5934 1.3667 6.7617\nSe -7.3396 -1.7855 6.8068\nSe 10.3849 -1.6032 6.9587\nSe 3.6387 -4.7554 7.0038\nSe -3.1075 -7.9076 7.0489\nSe -0.6624 7.3898 7.5884\nSe -7.4086 4.2376 7.6335\nSe 10.3159 4.4199 7.7854\nSe 3.5697 1.2677 7.8304\nSe -3.1765 -1.8845 7.8755\nSe -9.9227 -5.0367 7.9206\nSe 7.8018 -4.8544 8.0725\nSe 1.0556 -8.0066 8.1176\nSe 3.5007 7.2909 8.6571\nSe -3.2455 4.1387 8.7022\nSe -9.9917 0.9865 8.7473\nSe 7.7328 1.1687 8.8992\nSe 0.9866 -1.9835 8.9443\nSe -5.7596 -5.1357 8.9893\nSe 5.2187 -8.1056 9.1863\nSe 0.9175 4.0397 9.7709\nSe -5.8287 0.8875 9.8160\nSe 5.1496 -2.0824 10.0130\nSe -1.5966 -5.2346 10.0581\nSe -5.8977 6.9106 10.6427\nSe 5.0806 3.9407 10.8397\nSe -1.6656 0.7885 10.8847\nSe -8.4118 -2.3637 10.9298\nSe 2.5665 -5.3336 11.1268\nSe -1.7346 6.8117 11.7114\nSe 2.4975 0.6895 11.9535\nSe -4.2487 -2.4627 11.9986\nSe -4.3177 3.5605 12.8252\nSe -0.0856 -2.5616 13.0673\n"
    },
    {
     "name": "CdSe-QD-B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "690\nModel zinc-blende CdSe nanocrystal CdSe-QD-B (spherical cut, no ligands), angstrom\nCd -3.6668 0.8745 -15.9853\nCd 0.1799 -3.8240 -15.6794\nCd -3.3708 5.0990 -15.2439\nCd 0.4759 0.4004 -14.9380\nCd 4.3226 -4.2981 -14.6321\nCd 0.7719 4.6249 -14.1967\nCd -6.6716 -1.4548 -13.9781\nCd 4.6186 -0.0736 -13.8908\nCd -2.8249 -6.1533 -13.6722\nCd 1.0679 8.8494 -13.4553\nCd -6.3756 2.7696 -13.2368\nCd 4.9146 4.1508 -13.1494\nCd -2.5289 -1.9289 -12.9309\nCd 8.7612 -0.5477 -12.8435\nCd 1.3178 -6.6274 -12.6249\nCd -6.0796 6.9941 -12.4955\nCd 5.2106 8.3753 -12.4081\nCd -2.2329 2.2956 -12.1895\nCd 9.0572 3.6768 -12.1021\nCd -9.6763 -3.7842 -11.9710\nCd 1.6138 -2.4029 -11.8836\nCd -5.8297 -8.4827 -11.6651\nCd 5.4604 -7.1014 -11.5777\nCd -1.9369 6.5200 -11.4482\nCd -9.3803 0.4403 -11.2296\nCd 1.9098 1.8215 -11.1423\nCd -5.5337 -4.2582 -10.9237\nCd 5.7565 -2.8770 -10.8363\nCd -1.6409 10.7445 -10.7068\nCd -1.6870 -8.9567 -10.6178\nCd 9.6031 -7.5755 -10.5304\nCd -9.0843 4.6647 -10.4883\nCd 2.2058 6.0460 -10.4009\nCd -5.2377 -0.0338 -10.1824\nCd 6.0525 1.3475 -10.0950\nCd -1.3910 -4.7323 -9.8765\nCd 9.8991 -3.3510 -9.7891\nCd -8.7883 8.8892 -9.7470\nCd 2.5018 10.2704 -9.6596\nCd 2.4557 -9.4308 -9.5705\nCd -4.9417 4.1907 -9.4410\nCd 6.3485 5.5719 -9.3537\nCd -12.3851 -1.8890 -9.2225\nCd -1.0950 -0.5078 -9.1351\nCd 10.1951 0.8734 -9.0477\nCd -8.5385 -6.5876 -8.9166\nCd 2.7517 -5.2063 -8.8292\nCd -4.6457 8.4151 -8.6997\nCd 6.6445 9.7964 -8.6123\nCd -4.6918 -11.2861 -8.6106\nCd 6.5983 -9.9048 -8.5233\nCd -12.0891 2.3354 -8.4812\nCd -0.7990 3.7166 -8.3938\nCd 10.4911 5.0979 -8.3064\nCd -8.2425 -2.3631 -8.1752\nCd 3.0477 -0.9819 -8.0878\nCd 14.3378 0.3994 -8.0005\nCd -4.3497 12.6396 -7.9584\nCd -4.3958 -7.0616 -7.8693\nCd 6.8943 -5.6804 -7.7819\nCd -11.7931 6.5599 -7.7398\nCd -0.5030 7.9411 -7.6524\nCd 10.7871 9.3223 -7.5651\nCd -0.5491 -11.7601 -7.5634\nCd -7.9465 1.8614 -7.4339\nCd 3.3437 3.2426 -7.3465\nCd -4.0998 -2.8372 -7.1280\nCd 7.1903 -1.4559 -7.0406\nCd -0.2070 12.1655 -6.9111\nCd -11.5433 -8.9169 -6.9094\nCd -0.2531 -7.5357 -6.8220\nCd 11.0370 -6.1544 -6.7347\nCd -7.6505 6.0858 -6.6926\nCd 3.6397 7.4670 -6.6052\nCd 3.5935 -12.2342 -6.5161\nCd -15.0939 0.0061 -6.4740\nCd -3.8038 1.3873 -6.3866\nCd 7.4863 2.7685 -6.2992\nCd -11.2473 -4.6924 -6.1681\nCd 0.0429 -3.3112 -6.0807\nCd 11.3330 -1.9300 -5.9933\nCd -7.3545 10.3103 -5.9512\nCd 3.9357 11.6915 -5.8638\nCd -7.4006 -9.3909 -5.8622\nCd 3.8895 -8.0097 -5.7748\nCd -14.7979 4.2305 -5.7327\nCd -3.5078 5.6118 -5.6453\nCd 7.7823 6.9930 -5.5579\nCd -3.5539 -14.0894 -5.5562\nCd 7.7362 -12.7082 -5.4688\nCd -10.9513 -0.4680 -5.4267\nCd 0.3389 0.9132 -5.3394\nCd 11.6290 2.2945 -5.2520\nCd -7.1046 -5.1665 -5.1208\nCd 4.1855 -3.7853 -5.0334\nCd 15.4757 -2.4040 -4.9460\nCd -3.2118 9.8362 -4.9039\nCd 8.0783 11.2174 -4.8166\nCd -3.2579 -9.8650 -4.8149\nCd 8.0322 -8.4838 -4.7275\nCd -10.6552 3.7565 -4.6854\nCd 0.6349 5.1377 -4.5980\nCd 11.9250 6.5189 -4.5106\nCd 0.5888 -14.5635 -4.5090\nCd -6.8086 -0.9420 -4.3795\nCd 4.4815 0.4392 -4.2921\nCd 15.7717 1.8204 -4.2047\nCd -2.9158 14.0607 -4.1626\nCd -14.2520 -7.0218 -4.1609\nCd -2.9619 -5.6405 -4.0735\nCd 8.3282 -4.2593 -3.9862\nCd -10.3592 7.9809 -3.9441\nCd 0.9309 9.3622 -3.8567\nCd -10.4054 -11.7203 -3.8550\nCd 0.8848 -10.3390 -3.7676\nCd 12.1749 -8.9578 -3.6802\nCd -6.5126 3.2824 -3.6381\nCd 4.7775 4.6636 -3.5508\nCd 4.7314 -15.0376 -3.4617\nCd -13.9560 -2.7973 -3.4196\nCd -2.6659 -1.4161 -3.3322\nCd 8.6242 -0.0349 -3.2448\nCd -10.0632 12.2054 -3.2027\nCd 1.2269 13.5866 -3.1153\nCd -10.1094 -7.4958 -3.1137\nCd 1.1808 -6.1146 -3.0263\nCd 12.4709 -4.7334 -2.9389\nCd -6.2166 7.5069 -2.8968\nCd 5.0736 8.8881 -2.8094\nCd -6.2627 -12.1943 -2.8077\nCd 5.0274 -10.8131 -2.7204\nCd -13.6600 1.4271 -2.6783\nCd -2.3699 2.8084 -2.5909\nCd 8.9202 4.1896 -2.5035\nCd -9.8134 -3.2714 -2.3723\nCd 1.4768 -1.8901 -2.2849\nCd 12.7669 -0.5089 -2.1976\nCd -5.9206 11.7313 -2.1555\nCd 5.3696 13.1126 -2.0681\nCd -5.9667 -7.9699 -2.0664\nCd 5.3234 -6.5886 -1.9790\nCd -13.3640 5.6516 -1.9369\nCd -2.0739 7.0328 -1.8495\nCd 9.2162 8.4140 -1.7621\nCd -2.1200 -12.6684 -1.7605\nCd 9.1701 -11.2872 -1.6731\nCd -9.5174 0.9531 -1.6310\nCd 1.7728 2.3343 -1.5436\nCd 13.0629 3.7155 -1.4562\nCd -5.6707 -3.7454 -1.3251\nCd 5.6194 -2.3642 -1.2377\nCd -13.0680 9.8760 -1.1956\nCd -1.7779 11.2573 -1.1082\nCd -13.1142 -9.8251 -1.1065\nCd 9.5122 12.6385 -1.0208\nCd -1.8240 -8.4439 -1.0191\nCd 9.4661 -7.0627 -0.9317\nCd -9.2214 5.1775 -0.8896\nCd 2.0688 6.5588 -0.8023\nCd 13.3589 7.9400 -0.7149\nCd 2.0226 -13.1424 -0.7132\nCd -5.3747 0.4790 -0.5837\nCd 5.9154 1.8603 -0.4963\nCd -1.4819 15.4817 -0.3669\nCd -12.8182 -5.6007 -0.3652\nCd -1.5280 -4.2195 -0.2778\nCd 9.7621 -2.8382 -0.1904\nCd -8.9254 9.4020 -0.1483\nCd 2.3648 10.7832 -0.0609\nCd -8.9715 -10.2992 -0.0592\nCd 2.3186 -8.9180 0.0281\nCd 13.6088 -7.5368 0.1155\nCd -5.0787 4.7035 0.1576\nCd 6.2114 6.0847 0.2450\nCd -5.1248 -14.9977 0.2467\nCd 6.1653 -13.6165 0.3341\nCd -12.5222 -1.3762 0.3762\nCd -1.2320 0.0050 0.4635\nCd 10.0581 1.3862 0.5509\nCd -8.6294 13.6264 0.5930\nCd 2.6608 15.0077 0.6804\nCd -8.6755 -6.0748 0.6821\nCd 2.6146 -4.6935 0.7695\nCd 13.9048 -3.3123 0.8569\nCd -4.7827 8.9279 0.8990\nCd 6.5074 10.3092 0.9863\nCd -4.8288 -10.7733 0.9880\nCd 6.4613 -9.3920 1.0754\nCd -12.2262 2.8482 1.1175\nCd -0.9360 4.2294 1.2049\nCd 10.3541 5.6107 1.2923\nCd -0.9822 -15.4718 1.2939\nCd -8.3795 -1.8503 1.4234\nCd 2.9106 -0.4691 1.5108\nCd 14.2008 0.9122 1.5982\nCd -4.4867 13.1524 1.6403\nCd 6.8034 14.5336 1.7277\nCd -4.5328 -6.5488 1.7294\nCd 6.7573 -5.1676 1.8167\nCd -11.9302 7.0727 1.8588\nCd -0.6400 8.4539 1.9462\nCd 10.6501 9.8351 2.0336\nCd -0.6862 -11.2473 2.0353\nCd 10.6040 -9.8661 2.1227\nCd -8.0835 2.3742 2.1648\nCd 3.2066 3.7554 2.2522\nCd 14.4968 5.1366 2.3395\nCd 3.1605 -15.9458 2.3412\nCd -15.5269 -3.7056 2.3833\nCd -4.2368 -2.3244 2.4707\nCd 7.0533 -0.9431 2.5581\nCd -11.6342 11.2971 2.6002\nCd -0.3440 12.6783 2.6876\nCd -11.6803 -8.4041 2.6892\nCd -0.3902 -7.0229 2.7766\nCd 10.9000 -5.6416 2.8640\nCd -7.7875 6.5986 2.9061\nCd 3.5026 7.9798 2.9935\nCd -7.8336 -13.1026 2.9952\nCd 3.4565 -11.7214 3.0825\nCd -15.2309 0.5189 3.1247\nCd -3.9408 1.9001 3.2120\nCd 7.3493 3.2813 3.2994\nCd -11.3843 -4.1796 3.4306\nCd -0.0942 -2.7984 3.5180\nCd 11.1960 -1.4172 3.6053\nCd -7.4915 10.8231 3.6474\nCd 3.7986 12.2043 3.7348\nCd -7.5376 -8.8781 3.7365\nCd 3.7525 -7.4969 3.8239\nCd -14.9349 4.7433 3.8660\nCd -3.6448 6.1246 3.9534\nCd 7.6453 7.5058 4.0408\nCd -3.6909 -13.5766 4.0424\nCd 7.5992 -12.1954 4.1298\nCd -11.0883 0.0448 4.1719\nCd 0.2019 1.4260 4.2593\nCd 11.4920 2.8073 4.3467\nCd -7.2416 -4.6537 4.4778\nCd 4.0485 -3.2725 4.5652\nCd 15.3386 -1.8912 4.6526\nCd -3.3488 10.3490 4.6947\nCd 7.9413 11.7302 4.7821\nCd -3.3949 -9.3522 4.7838\nCd 7.8952 -7.9710 4.8712\nCd -10.7923 4.2693 4.9133\nCd 0.4979 5.6505 5.0006\nCd 11.7880 7.0317 5.0880\nCd 0.4517 -14.0507 5.0897\nCd -6.9456 -0.4292 5.2192\nCd 4.3445 0.9520 5.3066\nCd -3.0528 14.5735 5.4361\nCd -3.0989 -5.1277 5.5251\nCd 8.1912 -3.7465 5.6125\nCd -10.4963 8.4937 5.6546\nCd 0.7939 9.8750 5.7420\nCd -10.5424 -11.2075 5.7437\nCd 0.7477 -9.8262 5.8310\nCd 12.0379 -8.4450 5.9184\nCd -6.6496 3.7952 5.9605\nCd 4.6405 5.1764 6.0479\nCd 4.5944 -14.5248 6.1370\nCd -14.0931 -2.2845 6.1791\nCd -2.8029 -0.9033 6.2665\nCd 8.4872 0.4779 6.3538\nCd 1.0899 14.0994 6.4833\nCd -10.2464 -6.9830 6.4850\nCd 1.0437 -5.6018 6.5724\nCd 12.3339 -4.2206 6.6598\nCd -6.3536 8.0197 6.7019\nCd 4.9365 9.4009 6.7892\nCd -6.3997 -11.6815 6.7909\nCd 4.8904 -10.3003 6.8783\nCd -13.7971 1.9399 6.9204\nCd -2.5069 3.3212 7.0078\nCd 8.7832 4.7024 7.0952\nCd -9.9504 -2.7586 7.2263\nCd 1.3397 -1.3773 7.3137\nCd 12.6299 0.0039 7.4011\nCd -6.0576 12.2441 7.4432\nCd 5.2325 13.6253 7.5306\nCd -6.1037 -7.4571 7.5323\nCd 5.1864 -6.0758 7.6196\nCd -2.2109 7.5456 7.7491\nCd 9.0792 8.9268 7.8365\nCd -2.2571 -12.1556 7.8382\nCd 9.0331 -10.7744 7.9256\nCd -9.6544 1.4659 7.9677\nCd 1.6357 2.8471 8.0551\nCd 12.9259 4.2283 8.1424\nCd -5.8077 -3.2326 8.2736\nCd 5.4824 -1.8514 8.3610\nCd -1.9149 11.7701 8.4905\nCd -1.9611 -7.9311 8.5795\nCd 9.3291 -6.5499 8.6669\nCd -9.3584 5.6903 8.7090\nCd 1.9317 7.0716 8.7964\nCd 1.8856 -12.6296 8.8855\nCd -5.5117 0.9918 9.0149\nCd 5.7784 2.3731 9.1023\nCd -1.6651 -3.7067 9.3209\nCd 9.6251 -2.3254 9.4082\nCd -9.0624 9.9148 9.4504\nCd 2.2277 11.2960 9.5377\nCd -9.1085 -9.7864 9.5394\nCd 2.1816 -8.4052 9.6268\nCd -5.2157 5.2163 9.7563\nCd 6.0744 6.5975 9.8437\nCd -12.6592 -0.8634 9.9748\nCd -1.3691 0.5178 10.0622\nCd 9.9211 1.8990 10.1496\nCd -8.8125 -5.5620 10.2808\nCd 2.4776 -4.1807 10.3681\nCd -4.9197 9.4407 10.4976\nCd 6.3704 10.8220 10.5850\nCd -4.9659 -10.2605 10.5867\nCd 6.3243 -8.8792 10.6741\nCd -1.0731 4.7422 10.8035\nCd 10.2171 6.1235 10.8909\nCd -8.5165 -1.3375 11.0221\nCd 2.7736 0.0437 11.1095\nCd -4.6698 -6.0360 11.3280\nCd 6.6203 -4.6548 11.4154\nCd -0.7771 8.9667 11.5449\nCd -0.8232 -10.7345 11.6339\nCd -8.2205 2.8870 11.7634\nCd 3.0696 4.2682 11.8508\nCd -4.3738 -1.8116 12.0694\nCd 6.9163 -0.4303 12.1567\nCd -0.5272 -6.5101 12.3753\nCd -7.9245 7.1114 12.5048\nCd 3.3656 8.4926 12.5922\nCd -4.0778 2.4129 12.8107\nCd 7.2123 3.7941 12.8981\nCd -0.2312 -2.2856 13.1166\nCd 3.6155 -6.9841 13.4225\nCd -3.7818 6.6374 13.5520\nCd 0.0648 1.9388 13.8580\nCd -7.3786 -4.1409 14.0765\nCd 3.9115 -2.7597 14.1639\nCd 0.3608 6.1633 14.5993\nCd -7.0826 0.0836 14.8178\nCd 4.2075 1.4648 14.9052\nCd -3.2360 -4.6149 15.1238\nCd -2.9400 -0.3905 15.8651\nSe 2.9400 0.3905 -15.8651\nSe 3.2360 4.6149 -15.1238\nSe -4.2075 -1.4648 -14.9052\nSe 7.0826 -0.0836 -14.8178\nSe -0.3608 -6.1633 -14.5993\nSe -3.9115 2.7597 -14.1639\nSe 7.3786 4.1409 -14.0765\nSe -0.0648 -1.9388 -13.8580\nSe 3.7818 -6.6374 -13.5520\nSe -3.6155 6.9841 -13.4225\nSe 0.2312 2.2856 -13.1166\nSe -7.2123 -3.7941 -12.8981\nSe 4.0778 -2.4129 -12.8107\nSe -3.3656 -8.4926 -12.5922\nSe 7.9245 -7.1114 -12.5048\nSe 0.5272 6.5101 -12.3753\nSe -6.9163 0.4303 -12.1567\nSe 4.3738 1.8116 -12.0694\nSe -3.0696 -4.2682 -11.8508\nSe 8.2205 -2.8870 -11.7634\nSe 0.8232 10.7345 -11.6339\nSe 0.7771 -8.9667 -11.5449\nSe -6.6203 4.6548 -11.4154\nSe 4.6698 6.0360 -11.3280\nSe -2.7736 -0.0437 -11.1095\nSe 8.5165 1.3375 -11.0221\nSe -10.2171 -6.1235 -10.8909\nSe 1.0731 -4.7422 -10.8035\nSe -6.3243 8.8792 -10.6741\nSe 4.9659 10.2605 -10.5867\nSe -6.3704 -10.8220 -10.5850\nSe 4.9197 -9.4407 -10.4976\nSe -2.4776 4.1807 -10.3681\nSe 8.8125 5.5620 -10.2808\nSe -9.9211 -1.8990 -10.1496\nSe 1.3691 -0.5178 -10.0622\nSe 12.6592 0.8634 -9.9748\nSe -6.0744 -6.5975 -9.8437\nSe 5.2157 -5.2163 -9.7563\nSe -2.1816 8.4052 -9.6268\nSe 9.1085 9.7864 -9.5394\nSe -2.2277 -11.2960 -9.5377\nSe 9.0624 -9.9148 -9.4504\nSe -9.6251 2.3254 -9.4082\nSe 1.6651 3.7067 -9.3209\nSe -5.7784 -2.3731 -9.1023\nSe 5.5117 -0.9918 -9.0149\nSe -1.8856 12.6296 -8.8855\nSe -1.9317 -7.0716 -8.7964\nSe 9.3584 -5.6903 -8.7090\nSe -9.3291 6.5499 -8.6669\nSe 1.9611 7.9311 -8.5795\nSe 1.9149 -11.7701 -8.4905\nSe -5.4824 1.8514 -8.3610\nSe 5.8077 3.2326 -8.2736\nSe -12.9259 -4.2283 -8.1424\nSe -1.6357 -2.8471 -8.0551\nSe 9.6544 -1.4659 -7.9677\nSe -9.0331 10.7744 -7.9256\nSe 2.2571 12.1556 -7.8382\nSe -9.0792 -8.9268 -7.8365\nSe 2.2109 -7.5456 -7.7491\nSe -5.1864 6.0758 -7.6196\nSe 6.1037 7.4571 -7.5323\nSe -5.2325 -13.6253 -7.5306\nSe 6.0576 -12.2441 -7.4432\nSe -12.6299 -0.0039 -7.4011\nSe -1.3397 1.3773 -7.3137\nSe 9.9504 2.7586 -7.2263\nSe -8.7832 -4.7024 -7.0952\nSe 2.5069 -3.3212 -7.0078\nSe 13.7971 -1.9399 -6.9204\nSe -4.8904 10.3003 -6.8783\nSe 6.3997 11.6815 -6.7909\nSe -4.9365 -9.4009 -6.7892\nSe 6.3536 -8.0197 -6.7019\nSe -12.3339 4.2206 -6.6598\nSe -1.0437 5.6018 -6.5724\nSe 10.2464 6.9830 -6.4850\nSe -1.0899 -14.0994 -6.4833\nSe -8.4872 -0.4779 -6.3538\nSe 2.8029 0.9033 -6.2665\nSe 14.0931 2.2845 -6.1791\nSe -4.5944 14.5248 -6.1370\nSe -4.6405 -5.1764 -6.0479\nSe 6.6496 -3.7952 -5.9605\nSe -12.0379 8.4450 -5.9184\nSe -0.7477 9.8262 -5.8310\nSe 10.5424 11.2075 -5.7437\nSe -0.7939 -9.8750 -5.7420\nSe 10.4963 -8.4937 -5.6546\nSe -8.1912 3.7465 -5.6125\nSe 3.0989 5.1277 -5.5251\nSe 3.0528 -14.5735 -5.4361\nSe -4.3445 -0.9520 -5.3066\nSe 6.9456 0.4292 -5.2192\nSe -0.4517 14.0507 -5.0897\nSe -11.7880 -7.0317 -5.0880\nSe -0.4979 -5.6505 -5.0006\nSe 10.7923 -4.2693 -4.9133\nSe -7.8952 7.9710 -4.8712\nSe 3.3949 9.3522 -4.7838\nSe -7.9413 -11.7302 -4.7821\nSe 3.3488 -10.3490 -4.6947\nSe -15.3386 1.8912 -4.6526\nSe -4.0485 3.2725 -4.5652\nSe 7.2416 4.6537 -4.4778\nSe -11.4920 -2.8073 -4.3467\nSe -0.2019 -1.4260 -4.2593\nSe 11.0883 -0.0448 -4.1719\nSe -7.5992 12.1954 -4.1298\nSe 3.6909 13.5766 -4.0424\nSe -7.6453 -7.5058 -4.0408\nSe 3.6448 -6.1246 -3.9534\nSe 14.9349 -4.7433 -3.8660\nSe -3.7525 7.4969 -3.8239\nSe 7.5376 8.8781 -3.7365\nSe -3.7986 -12.2043 -3.7348\nSe 7.4915 -10.8231 -3.6474\nSe -11.1960 1.4172 -3.6053\nSe 0.0942 2.7984 -3.5180\nSe 11.3843 4.1796 -3.4306\nSe -7.3493 -3.2813 -3.2994\nSe 3.9408 -1.9001 -3.2120\nSe 15.2309 -0.5189 -3.1247\nSe -3.4565 11.7214 -3.0825\nSe 7.8336 13.1026 -2.9952\nSe -3.5026 -7.9798 -2.9935\nSe 7.7875 -6.5986 -2.9061\nSe -10.9000 5.6416 -2.8640\nSe 0.3902 7.0229 -2.7766\nSe 11.6803 8.4041 -2.6892\nSe 0.3440 -12.6783 -2.6876\nSe 11.6342 -11.2971 -2.6002\nSe -7.0533 0.9431 -2.5581\nSe 4.2368 2.3244 -2.4707\nSe 15.5269 3.7056 -2.3833\nSe -3.1605 15.9458 -2.3412\nSe -14.4968 -5.1366 -2.3395\nSe -3.2066 -3.7554 -2.2522\nSe 8.0835 -2.3742 -2.1648\nSe -10.6040 9.8661 -2.1227\nSe 0.6862 11.2473 -2.0353\nSe -10.6501 -9.8351 -2.0336\nSe 0.6400 -8.4539 -1.9462\nSe 11.9302 -7.0727 -1.8588\nSe -6.7573 5.1676 -1.8167\nSe 4.5328 6.5488 -1.7294\nSe -6.8034 -14.5336 -1.7277\nSe 4.4867 -13.1524 -1.6403\nSe -14.2008 -0.9122 -1.5982\nSe -2.9106 0.4691 -1.5108\nSe 8.3795 1.8503 -1.4234\nSe 0.9822 15.4718 -1.2939\nSe -10.3541 -5.6107 -1.2923\nSe 0.9360 -4.2294 -1.2049\nSe 12.2262 -2.8482 -1.1175\nSe -6.4613 9.3920 -1.0754\nSe 4.8288 10.7733 -0.9880\nSe -6.5074 -10.3092 -0.9863\nSe 4.7827 -8.9279 -0.8990\nSe -13.9048 3.3123 -0.8569\nSe -2.6146 4.6935 -0.7695\nSe 8.6755 6.0748 -0.6821\nSe -2.6608 -15.0077 -0.6804\nSe 8.6294 -13.6264 -0.5930\nSe -10.0581 -1.3862 -0.5509\nSe 1.2320 -0.0050 -0.4635\nSe 12.5222 1.3762 -0.3762\nSe -6.1653 13.6165 -0.3341\nSe 5.1248 14.9977 -0.2467\nSe -6.2114 -6.0847 -0.2450\nSe 5.0787 -4.7035 -0.1576\nSe -13.6088 7.5368 -0.1155\nSe -2.3186 8.9180 -0.0281\nSe 8.9715 10.2992 0.0592\nSe -2.3648 -10.7832 0.0609\nSe 8.9254 -9.4020 0.1483\nSe -9.7621 2.8382 0.1904\nSe 1.5280 4.2195 0.2778\nSe 12.8182 5.6007 0.3652\nSe 1.4819 -15.4817 0.3669\nSe -5.9154 -1.8603 0.4963\nSe 5.3747 -0.4790 0.5837\nSe -2.0226 13.1424 0.7132\nSe -13.3589 -7.9400 0.7149\nSe -2.0688 -6.5588 0.8023\nSe 9.2214 -5.1775 0.8896\nSe -9.4661 7.0627 0.9317\nSe 1.8240 8.4439 1.0191\nSe -9.5122 -12.6385 1.0208\nSe 13.1142 9.8251 1.1065\nSe 1.7779 -11.2573 1.1082\nSe 13.0680 -9.8760 1.1956\nSe -5.6194 2.3642 1.2377\nSe 5.6707 3.7454 1.3251\nSe -13.0629 -3.7155 1.4562\nSe -1.7728 -2.3343 1.5436\nSe 9.5174 -0.9531 1.6310\nSe -9.1701 11.2872 1.6731\nSe 2.1200 12.6684 1.7605\nSe -9.2162 -8.4140 1.7621\nSe 2.0739 -7.0328 1.8495\nSe 13.3640 -5.6516 1.9369\nSe -5.3234 6.5886 1.9790\nSe 5.9667 7.9699 2.0664\nSe -5.3696 -13.1126 2.0681\nSe 5.9206 -11.7313 2.1555\nSe -12.7669 0.5089 2.1976\nSe -1.4768 1.8901 2.2849\nSe 9.8134 3.2714 2.3723\nSe -8.9202 -4.1896 2.5035\nSe 2.3699 -2.8084 2.5909\nSe 13.6600 -1.4271 2.6783\nSe -5.0274 10.8131 2.7204\nSe 6.2627 12.1943 2.8077\nSe -5.0736 -8.8881 2.8094\nSe 6.2166 -7.5069 2.8968\nSe -12.4709 4.7334 2.9389\nSe -1.1808 6.1146 3.0263\nSe 10.1094 7.4958 3.1137\nSe -1.2269 -13.5866 3.1153\nSe 10.0632 -12.2054 3.2027\nSe -8.6242 0.0349 3.2448\nSe 2.6659 1.4161 3.3322\nSe 13.9560 2.7973 3.4196\nSe -4.7314 15.0376 3.4617\nSe -4.7775 -4.6636 3.5508\nSe 6.5126 -3.2824 3.6381\nSe -12.1749 8.9578 3.6802\nSe -0.8848 10.3390 3.7676\nSe 10.4054 11.7203 3.8550\nSe -0.9309 -9.3622 3.8567\nSe 10.3592 -7.9809 3.9441\nSe -8.3282 4.2593 3.9862\nSe 2.9619 5.6405 4.0735\nSe 14.2520 7.0218 4.1609\nSe 2.9158 -14.0607 4.1626\nSe -15.7717 -1.8204 4.2047\nSe -4.4815 -0.4392 4.2921\nSe 6.8086 0.9420 4.3795\nSe -0.5888 14.5635 4.5090\nSe -11.9250 -6.5189 4.5106\nSe -0.6349 -5.1377 4.5980\nSe 10.6552 -3.7565 4.6854\nSe -8.0322 8.4838 4.7275\nSe 3.2579 9.8650 4.8149\nSe -8.0783 -11.2174 4.8166\nSe 3.2118 -9.8362 4.9039\nSe -15.4757 2.4040 4.9460\nSe -4.1855 3.7853 5.0334\nSe 7.1046 5.1665 5.1208\nSe -11.6290 -2.2945 5.2520\nSe -0.3389 -0.9132 5.3394\nSe 10.9513 0.4680 5.4267\nSe -7.7362 12.7082 5.4688\nSe 3.5539 14.0894 5.5562\nSe -7.7823 -6.9930 5.5579\nSe 3.5078 -5.6118 5.6453\nSe 14.7979 -4.2305 5.7327\nSe -3.8895 8.0097 5.7748\nSe 7.4006 9.3909 5.8622\nSe -3.9357 -11.6915 5.8638\nSe 7.3545 -10.3103 5.9512\nSe -11.3330 1.9300 5.9933\nSe -0.0429 3.3112 6.0807\nSe 11.2473 4.6924 6.1681\nSe -7.4863 -2.7685 6.2992\nSe 3.8038 -1.3873 6.3866\nSe 15.0939 -0.0061 6.4740\nSe -3.5935 12.2342 6.5161\nSe -3.6397 -7.4670 6.6052\nSe 7.6505 -6.0858 6.6926\nSe -11.0370 6.1544 6.7347\nSe 0.2531 7.5357 6.8220\nSe 11.5433 8.9169 6.9094\nSe 0.2070 -12.1655 6.9111\nSe -7.1903 1.4559 7.0406\nSe 4.0998 2.8372 7.1280\nSe -3.3437 -3.2426 7.3465\nSe 7.9465 -1.8614 7.4339\nSe 0.5491 11.7601 7.5634\nSe -10.7871 -9.3223 7.5651\nSe 0.5030 -7.9411 7.6524\nSe 11.7931 -6.5599 7.7398\nSe -6.8943 5.6804 7.7819\nSe 4.3958 7.0616 7.8693\nSe 4.3497 -12.6396 7.9584\nSe -14.3378 -0.3994 8.0005\nSe -3.0477 0.9819 8.0878\nSe 8.2425 2.3631 8.1752\nSe -10.4911 -5.0979 8.3064\nSe 0.7990 -3.7166 8.3938\nSe 12.0891 -2.3354 8.4812\nSe -6.5983 9.9048 8.5233\nSe 4.6918 11.2861 8.6106\nSe -6.6445 -9.7964 8.6123\nSe 4.6457 -8.4151 8.6997\nSe -2.7517 5.2063 8.8292\nSe 8.5385 6.5876 8.9166\nSe -10.1951 -0.8734 9.0477\nSe 1.0950 0.5078 9.1351\nSe 12.3851 1.8890 9.2225\nSe -6.3485 -5.5719 9.3537\nSe 4.9417 -4.1907 9.4410\nSe -2.4557 9.4308 9.5705\nSe -2.5018 -10.2704 9.6596\nSe 8.7883 -8.8892 9.7470\nSe -9.8991 3.3510 9.7891\nSe 1.3910 4.7323 9.8765\nSe -6.0525 -1.3475 10.0950\nSe 5.2377 0.0338 10.1824\nSe -2.2058 -6.0460 10.4009\nSe 9.0843 -4.6647 10.4883\nSe -9.6031 7.5755 10.5304\nSe 1.6870 8.9567 10.6178\nSe 1.6409 -10.7445 10.7068\nSe -5.7565 2.8770 10.8363\nSe 5.5337 4.2582 10.9237\nSe -1.9098 -1.8215 11.1423\nSe 9.3803 -0.4403 11.2296\nSe 1.9369 -6.5200 11.4482\nSe -5.4604 7.1014 11.5777\nSe 5.8297 8.4827 11.6651\nSe -1.6138 2.4029 11.8836\nSe 9.6763 3.7842 11.9710\nSe -9.0572 -3.6768 12.1021\nSe 2.2329 -2.2956 12.1895\nSe -5.2106 -8.3753 12.4081\nSe 6.0796 -6.9941 12.4955\nSe -1.3178 6.6274 12.6249\nSe -8.7612 0.5477 12.8435\nSe 2.5289 1.9289 12.9309\nSe -4.9146 -4.1508 13.1494\nSe 6.3756 -2.7696 13.2368\nSe -1.0679 -8.8494 13.4553\nSe 2.8249 6.1533 13.6722\nSe -4.6186 0.0736 13.8908\nSe 6.6716 1.4548 13.9781\nSe -0.7719 -4.6249 14.1967\nSe -4.3226 4.2981 14.6321\nSe -0.4759 -0.4004 14.9380\nSe 3.3708 -5.0990 15.2439\nSe -0.1799 3.8240 15.6794\nSe 3.6668 -0.8745 15.9853\n"
    },
    {
     "name": "CdSe-QD-C.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1026\nModel zinc-blende CdSe nanocrystal CdSe-QD-C (spherical cut, no ligands), angstrom\nCd 3.4442 -4.5926 -17.8874\nCd -0.7707 -3.9752 -17.3075\nCd 6.2088 -1.3849 -17.1454\nCd -4.9857 -3.3578 -16.7277\nCd 1.9938 -0.7674 -16.5655\nCd 8.9733 1.8229 -16.4034\nCd -9.2006 -2.7404 -16.1478\nCd -2.2211 -0.1500 -15.9857\nCd 4.7584 2.4403 -15.8235\nCd -6.4361 0.4674 -15.4058\nCd 0.5434 3.0578 -15.2437\nCd 3.3136 -7.9744 -15.2360\nCd 7.5229 5.6481 -15.0815\nCd -10.6510 1.0849 -14.8260\nCd -3.6715 3.6752 -14.6638\nCd -0.9014 -7.3570 -14.6561\nCd 3.3080 6.2656 -14.5016\nCd 6.0781 -4.7666 -14.4940\nCd -7.8865 4.2926 -14.0840\nCd -5.1163 -6.7395 -14.0763\nCd -0.9070 6.8830 -13.9218\nCd 1.8632 -4.1492 -13.9141\nCd 6.0725 9.4733 -13.7596\nCd 8.8427 -1.5588 -13.7519\nCd -12.1014 4.9101 -13.5041\nCd -9.3312 -6.1221 -13.4964\nCd -5.1219 7.5004 -13.3419\nCd -2.3517 -3.5317 -13.3343\nCd 1.8576 10.0908 -13.1798\nCd 4.6278 -0.9414 -13.1721\nCd 11.6072 1.6490 -13.0099\nCd -9.3368 8.1178 -12.7621\nCd -6.5667 -2.9143 -12.7544\nCd -2.3574 10.7082 -12.5999\nCd 0.4128 -0.3240 -12.5922\nCd 3.1830 -11.3561 -12.5846\nCd 4.6221 13.2985 -12.4378\nCd 7.3923 2.2664 -12.4301\nCd 10.1625 -8.7658 -12.4224\nCd -10.7816 -2.2969 -12.1746\nCd -6.5723 11.3256 -12.0201\nCd -3.8021 0.2935 -12.0124\nCd -1.0320 -10.7387 -12.0047\nCd 0.4072 13.9160 -11.8579\nCd 3.1774 2.8838 -11.8502\nCd 5.9475 -8.1483 -11.8425\nCd 10.1569 5.4742 -11.6881\nCd 12.9270 -5.5580 -11.6804\nCd -8.0171 0.9109 -11.4325\nCd -5.2469 -10.1213 -11.4249\nCd -3.8077 14.5334 -11.2781\nCd -1.0376 3.5012 -11.2704\nCd 1.7326 -7.5309 -11.2627\nCd 5.9419 6.0916 -11.1082\nCd 8.7121 -4.9406 -11.1005\nCd -12.2320 1.5283 -10.8527\nCd -9.4619 -9.5038 -10.8450\nCd -5.2525 4.1187 -10.6905\nCd -2.4824 -6.9135 -10.6828\nCd 1.7270 6.7090 -10.5284\nCd 4.4971 -4.3231 -10.5207\nCd 8.7065 9.2994 -10.3662\nCd 11.4766 -1.7328 -10.3585\nCd -9.4675 4.7361 -10.1107\nCd -6.6973 -6.2961 -10.1030\nCd -2.4880 7.3265 -9.9485\nCd 0.2822 -3.7057 -9.9408\nCd 3.0523 -14.7379 -9.9331\nCd 4.4915 9.9168 -9.7864\nCd 7.2617 -1.1153 -9.7787\nCd 10.0318 -12.1475 -9.7710\nCd 14.2412 1.4750 -9.6165\nCd -13.6824 5.3535 -9.5308\nCd -10.9123 -5.6786 -9.5231\nCd -6.7029 7.9439 -9.3687\nCd -3.9328 -3.0883 -9.3610\nCd -1.1626 -14.1204 -9.3533\nCd 0.2766 10.5342 -9.2065\nCd 3.0467 -0.4979 -9.1988\nCd 5.8169 -11.5301 -9.1911\nCd 7.2561 13.1246 -9.0443\nCd 10.0262 2.0924 -9.0367\nCd 12.7964 -8.9397 -9.0290\nCd -15.1272 -5.0612 -8.9433\nCd -10.9179 8.5613 -8.7888\nCd -8.1477 -2.4708 -8.7811\nCd -5.3775 -13.5030 -8.7734\nCd -3.9384 11.1517 -8.6267\nCd -1.1682 0.1195 -8.6190\nCd 1.6020 -10.9126 -8.6113\nCd 3.0411 13.7420 -8.4645\nCd 5.8113 2.7099 -8.4568\nCd 8.5815 -8.3223 -8.4491\nCd 12.7908 5.3002 -8.2946\nCd 15.5610 -5.7319 -8.2870\nCd -12.3626 -1.8534 -8.2013\nCd -9.5925 -12.8856 -8.1936\nCd -8.1533 11.7691 -8.0468\nCd -5.3831 0.7369 -8.0391\nCd -2.6130 -10.2952 -8.0314\nCd -1.1738 14.3595 -7.8846\nCd 1.5963 3.3273 -7.8770\nCd 4.3665 -7.7049 -7.8693\nCd 8.5758 5.9176 -7.7148\nCd 11.3460 -5.1145 -7.7071\nCd -16.5776 -1.2360 -7.6214\nCd -9.5981 1.3544 -7.4593\nCd -6.8279 -9.6778 -7.4516\nCd -5.3888 14.9769 -7.3048\nCd -2.6186 3.9447 -7.2971\nCd 0.1516 -7.0874 -7.2894\nCd 4.3609 6.5351 -7.1349\nCd 7.1311 -4.4971 -7.1273\nCd 11.3404 9.1254 -6.9728\nCd 14.1106 -1.9067 -6.9651\nCd -13.8130 1.9718 -6.8794\nCd -11.0429 -9.0604 -6.8717\nCd -6.8335 4.5622 -6.7173\nCd -4.0634 -6.4700 -6.7096\nCd -1.2932 -17.5022 -6.7019\nCd 0.1460 7.1525 -6.5551\nCd 2.9161 -3.8797 -6.5474\nCd 5.6863 -14.9118 -6.5397\nCd 7.1255 9.7429 -6.3929\nCd 9.8956 -1.2893 -6.3852\nCd 12.6658 -12.3215 -6.3776\nCd -15.2578 -8.4429 -6.2919\nCd 16.8751 1.3010 -6.2231\nCd -11.0485 5.1796 -6.1374\nCd -8.2783 -5.8526 -6.1297\nCd -5.5082 -16.8847 -6.1220\nCd -4.0690 7.7699 -5.9752\nCd -1.2988 -3.2622 -5.9676\nCd 1.4713 -14.2944 -5.9599\nCd 2.9105 10.3603 -5.8131\nCd 5.6807 -0.6719 -5.8054\nCd 8.4508 -11.7040 -5.7977\nCd 9.8900 12.9506 -5.6509\nCd 12.6602 1.9185 -5.6432\nCd 15.4303 -9.1137 -5.6355\nCd -15.2634 5.7970 -5.5576\nCd -12.4933 -5.2351 -5.5499\nCd -8.2839 8.3874 -5.3954\nCd -5.5138 -2.6448 -5.3877\nCd -2.7436 -13.6770 -5.3800\nCd -1.3044 10.9777 -5.2332\nCd 1.4657 -0.0544 -5.2255\nCd 4.2359 -11.0866 -5.2179\nCd 5.6751 13.5681 -5.0711\nCd 8.4452 2.5359 -5.0634\nCd 11.2154 -8.4963 -5.0557\nCd -16.7082 -4.6177 -4.9700\nCd 15.4247 5.1263 -4.9012\nCd -12.4989 9.0048 -4.8155\nCd -9.7287 -2.0274 -4.8079\nCd -6.9586 -13.0595 -4.8002\nCd -5.5194 11.5951 -4.6534\nCd -2.7492 0.5630 -4.6457\nCd 0.0209 -10.4692 -4.6380\nCd 1.4601 14.1855 -4.4912\nCd 4.2303 3.1533 -4.4835\nCd 7.0004 -7.8788 -4.4758\nCd 11.2098 5.7437 -4.3214\nCd 13.9799 -5.2885 -4.3137\nCd -13.9437 -1.4099 -4.2280\nCd -11.1735 -12.4421 -4.2203\nCd -9.7343 12.2126 -4.0735\nCd -6.9642 1.1804 -4.0658\nCd -4.1940 -9.8517 -4.0582\nCd -2.7548 14.8029 -3.9114\nCd 0.0153 3.7708 -3.9037\nCd 2.7855 -7.2614 -3.8960\nCd 4.2247 17.3933 -3.7492\nCd 6.9948 6.3611 -3.7415\nCd 9.7650 -4.6710 -3.7338\nCd -18.1586 -0.7925 -3.6482\nCd 13.9743 8.9515 -3.5793\nCd 16.7445 -2.0807 -3.5717\nCd -11.1791 1.7978 -3.4860\nCd -8.4089 -9.2343 -3.4783\nCd -6.9698 15.4204 -3.3315\nCd -4.1996 4.3882 -3.3238\nCd -1.4294 -6.6440 -3.3161\nCd 1.3407 -17.6761 -3.3085\nCd 0.0097 18.0107 -3.1693\nCd 2.7799 6.9785 -3.1617\nCd 5.5500 -4.0536 -3.1540\nCd 8.3202 -15.0858 -3.1463\nCd 9.7594 9.5689 -2.9995\nCd 12.5295 -1.4633 -2.9918\nCd -15.3941 2.4153 -2.9061\nCd -12.6239 -8.6169 -2.8985\nCd -8.4146 5.0056 -2.7440\nCd -5.6444 -6.0265 -2.7363\nCd -2.8742 -17.0587 -2.7286\nCd -1.4351 7.5960 -2.5818\nCd 1.3351 -3.4362 -2.5741\nCd 4.1053 -14.4683 -2.5664\nCd 5.5444 10.1863 -2.4196\nCd 8.3146 -0.8458 -2.4120\nCd 11.0848 -11.8780 -2.4043\nCd -16.8388 -7.9995 -2.3186\nCd 12.5239 12.7767 -2.2575\nCd 15.2941 1.7445 -2.2498\nCd -12.6295 5.6231 -2.1641\nCd -9.8593 -5.4091 -2.1564\nCd -7.0892 -16.4413 -2.1488\nCd -5.6500 8.2134 -2.0020\nCd -2.8798 -2.8188 -1.9943\nCd -0.1097 -13.8509 -1.9866\nCd 1.3295 10.8038 -1.8398\nCd 4.0997 -0.2284 -1.8321\nCd 6.8698 -11.2606 -1.8244\nCd 8.3090 13.3941 -1.6776\nCd 11.0792 2.3620 -1.6699\nCd 13.8493 -8.6702 -1.6623\nCd -16.8444 6.2405 -1.5843\nCd -14.0743 -4.7917 -1.5766\nCd 18.0587 4.9523 -1.5078\nCd -9.8649 8.8308 -1.4221\nCd -7.0948 -2.2013 -1.4144\nCd -4.3246 -13.2335 -1.4067\nCd -2.8854 11.4212 -1.2599\nCd -0.1153 0.3890 -1.2523\nCd 2.6549 -10.6431 -1.2446\nCd 4.0940 14.0115 -1.0978\nCd 6.8642 2.9794 -1.0901\nCd 9.6344 -8.0528 -1.0824\nCd -18.2892 -4.1742 -0.9967\nCd 13.8437 5.5697 -0.9279\nCd 16.6139 -5.4624 -0.9203\nCd -14.0799 9.4483 -0.8423\nCd -11.3097 -1.5839 -0.8346\nCd -8.5396 -12.6161 -0.8269\nCd -7.1004 12.0386 -0.6801\nCd -4.3302 1.0065 -0.6724\nCd -1.5601 -10.0257 -0.6647\nCd -0.1209 14.6290 -0.5179\nCd 2.6493 3.5968 -0.5102\nCd 5.4194 -7.4354 -0.5026\nCd 6.8586 17.2193 -0.3558\nCd 9.6288 6.1872 -0.3481\nCd 12.3989 -4.8450 -0.3404\nCd -15.5247 -0.9665 -0.2547\nCd -12.7545 -11.9986 -0.2470\nCd 16.6083 8.7775 -0.1859\nCd -11.3153 12.6560 -0.1002\nCd -8.5452 1.6239 -0.0926\nCd -5.7750 -9.4083 -0.0849\nCd -4.3358 15.2464 0.0619\nCd -1.5657 4.2142 0.0696\nCd 1.2045 -6.8179 0.0773\nCd 3.9746 -17.8501 0.0850\nCd 2.6437 17.8368 0.2241\nCd 5.4138 6.8046 0.2318\nCd 8.1840 -4.2276 0.2394\nCd 10.9541 -15.2597 0.2471\nCd 12.3933 9.3949 0.3939\nCd 15.1635 -1.6372 0.4016\nCd -12.7601 2.2413 0.4873\nCd -9.9900 -8.7908 0.4950\nCd -8.5508 15.8638 0.6418\nCd -5.7806 4.8317 0.6494\nCd -3.0105 -6.2005 0.6571\nCd -0.2403 -17.2327 0.6648\nCd -1.5713 18.4542 0.8039\nCd 1.1989 7.4220 0.8116\nCd 3.9690 -3.6101 0.8193\nCd 6.7392 -14.6423 0.8270\nCd 8.1784 10.0124 0.9738\nCd 10.9485 -1.0198 0.9815\nCd 13.7187 -12.0519 0.9891\nCd -16.9751 2.8587 1.0671\nCd -14.2049 -8.1734 1.0748\nCd 17.9280 1.5706 1.1436\nCd -9.9956 5.4491 1.2293\nCd -7.2254 -5.5831 1.2370\nCd -4.4552 -16.6152 1.2447\nCd -3.0161 8.0394 1.3915\nCd -0.2459 -2.9927 1.3991\nCd 2.5243 -14.0249 1.4068\nCd 3.9634 10.6298 1.5536\nCd 6.7336 -0.4024 1.5613\nCd 9.5037 -11.4345 1.5690\nCd 10.9429 13.2202 1.7158\nCd 13.7131 2.1880 1.7235\nCd 16.4832 -8.8442 1.7312\nCd -14.2105 6.0665 1.8091\nCd -11.4404 -4.9656 1.8168\nCd -8.6702 -15.9978 1.8245\nCd -7.2310 8.6569 1.9713\nCd -4.4609 -2.3753 1.9790\nCd -1.6907 -13.4074 1.9867\nCd -0.2515 11.2472 2.1335\nCd 2.5186 0.2151 2.1412\nCd 5.2888 -10.8171 2.1488\nCd 6.7280 13.8376 2.2956\nCd 9.4981 2.8054 2.3033\nCd 12.2683 -8.2267 2.3110\nCd -15.6553 -4.3482 2.3967\nCd 16.4776 5.3958 2.4655\nCd -11.4460 9.2743 2.5512\nCd -8.6758 -1.7579 2.5588\nCd -5.9056 -12.7900 2.5665\nCd -4.4665 11.8647 2.7133\nCd -1.6963 0.8325 2.7210\nCd 1.0739 -10.1997 2.7287\nCd 2.5130 14.4550 2.8755\nCd 5.2832 3.4229 2.8832\nCd 8.0534 -7.6093 2.8909\nCd 12.2627 6.0132 3.0453\nCd 15.0329 -5.0190 3.0530\nCd -15.6609 9.8917 3.1310\nCd -12.8907 -1.1404 3.1387\nCd -10.1206 -12.1726 3.1464\nCd -8.6814 12.4821 3.2932\nCd -5.9112 1.4499 3.3009\nCd -3.1411 -9.5822 3.3085\nCd -1.7019 15.0724 3.4553\nCd 1.0683 4.0403 3.4630\nCd 3.8384 -6.9919 3.4707\nCd 5.2776 17.6628 3.6175\nCd 8.0477 6.6306 3.6252\nCd 10.8179 -4.4015 3.6329\nCd -17.1057 -0.5230 3.7185\nCd -14.3355 -11.5552 3.7262\nCd 15.0272 9.2210 3.7874\nCd 17.7974 -1.8112 3.7950\nCd -12.8963 13.0995 3.8730\nCd -10.1262 2.0674 3.8807\nCd -7.3560 -8.9648 3.8884\nCd -5.9169 15.6899 4.0352\nCd -3.1467 4.6577 4.0429\nCd -0.3765 -6.3744 4.0506\nCd 2.3936 -17.4066 4.0582\nCd 1.0626 18.2802 4.1974\nCd 3.8328 7.2481 4.2050\nCd 6.6030 -3.7841 4.2127\nCd 9.3731 -14.8163 4.2204\nCd 10.8123 9.8384 4.3672\nCd 13.5825 -1.1937 4.3749\nCd -14.3411 2.6848 4.4606\nCd -11.5710 -8.3474 4.4682\nCd -7.3616 5.2751 4.6227\nCd -4.5915 -5.7570 4.6304\nCd -1.8213 -16.7892 4.6381\nCd -0.3821 7.8655 4.7849\nCd 2.3880 -3.1667 4.7926\nCd 5.1582 -14.1988 4.8003\nCd 6.5974 10.4558 4.9471\nCd 9.3675 -0.5763 4.9547\nCd 12.1377 -11.6085 4.9624\nCd -15.7859 -7.7299 5.0481\nCd 16.3470 2.0140 5.1169\nCd -11.5766 5.8926 5.2026\nCd -8.8064 -5.1396 5.2103\nCd -6.0363 -16.1717 5.2179\nCd -4.5971 8.4829 5.3647\nCd -1.8269 -2.5492 5.3724\nCd 0.9432 -13.5814 5.3801\nCd 2.3824 11.0733 5.5269\nCd 5.1526 0.0411 5.5346\nCd 7.9227 -10.9910 5.5423\nCd 9.3619 13.6636 5.6891\nCd 12.1321 2.6315 5.6968\nCd 14.9022 -8.4007 5.7044\nCd -15.7915 6.5100 5.7824\nCd -13.0214 -4.5222 5.7901\nCd -8.8120 9.1004 5.9446\nCd -6.0419 -1.9318 5.9523\nCd -3.2717 -12.9640 5.9600\nCd -1.8325 11.6907 6.1068\nCd 0.9376 0.6585 6.1144\nCd 3.7078 -10.3736 6.1221\nCd 5.1470 14.2811 6.2689\nCd 7.9171 3.2489 6.2766\nCd 10.6873 -7.7833 6.2843\nCd -17.2363 -3.9047 6.3700\nCd 14.8966 5.8392 6.4388\nCd -13.0270 9.7178 6.5244\nCd -10.2568 -1.3144 6.5321\nCd -7.4866 -12.3465 6.5398\nCd -6.0475 12.3081 6.6866\nCd -3.2773 1.2760 6.6943\nCd -0.5072 -9.7562 6.7020\nCd 0.9320 14.8985 6.8488\nCd 3.7022 3.8663 6.8565\nCd 6.4723 -7.1658 6.8641\nCd 10.6817 6.4567 7.0186\nCd 13.4518 -4.5755 7.0263\nCd -14.4718 -0.6969 7.1120\nCd -11.7016 -11.7291 7.1197\nCd -10.2624 12.9256 7.2665\nCd -7.4923 1.8934 7.2741\nCd -4.7221 -9.1388 7.2818\nCd -3.2829 15.5159 7.4286\nCd -0.5128 4.4838 7.4363\nCd 2.2574 -6.5484 7.4440\nCd 6.4667 7.0741 7.5985\nCd 9.2369 -3.9581 7.6062\nCd 13.4462 9.6645 7.7606\nCd 16.2164 -1.3677 7.7683\nCd -11.7072 2.5108 7.8540\nCd -8.9370 -8.5213 7.8617\nCd -4.7277 5.1012 8.0162\nCd -1.9575 -5.9310 8.0238\nCd 0.8126 -16.9631 8.0315\nCd 2.2518 7.6915 8.1783\nCd 5.0220 -3.3406 8.1860\nCd 7.7921 -14.3728 8.1937\nCd 9.2313 10.2819 8.3405\nCd 12.0015 -0.7503 8.3482\nCd -15.9221 3.1283 8.4338\nCd -13.1520 -7.9039 8.4415\nCd -8.9426 5.7186 8.5960\nCd -6.1725 -5.3135 8.6037\nCd -3.4023 -16.3457 8.6114\nCd -1.9632 8.3090 8.7582\nCd 0.8070 -2.7232 8.7659\nCd 3.5772 -13.7554 8.7735\nCd 5.0163 10.8993 8.9203\nCd 7.7865 -0.1328 8.9280\nCd 10.5567 -11.1650 8.9357\nCd 14.7660 2.4575 9.0902\nCd -13.1576 6.3360 9.1759\nCd -10.3874 -4.6961 9.1835\nCd -6.1781 8.9264 9.3380\nCd -3.4079 -2.1058 9.3457\nCd -0.6378 -13.1379 9.3534\nCd 0.8014 11.5167 9.5002\nCd 3.5716 0.4846 9.5079\nCd 6.3417 -10.5476 9.5155\nCd 7.7809 14.1071 9.6623\nCd 10.5511 3.0749 9.6700\nCd 13.3212 -7.9572 9.6777\nCd -14.6024 -4.0787 9.7634\nCd -10.3930 9.5438 9.9179\nCd -7.6229 -1.4883 9.9256\nCd -4.8527 -12.5205 9.9332\nCd -3.4135 12.1342 10.0800\nCd -0.6434 1.1020 10.0877\nCd 2.1268 -9.9301 10.0954\nCd 3.5660 14.7245 10.2422\nCd 6.3361 3.6924 10.2499\nCd 9.1063 -7.3398 10.2576\nCd 13.3156 6.2827 10.4120\nCd -11.8378 -0.8709 10.5054\nCd -9.0677 -11.9031 10.5131\nCd -7.6285 12.7516 10.6599\nCd -4.8583 1.7194 10.6676\nCd -2.0882 -9.3127 10.6752\nCd -0.6490 15.3420 10.8220\nCd 2.1212 4.3098 10.8297\nCd 4.8913 -6.7224 10.8374\nCd 9.1007 6.9002 10.9919\nCd 11.8708 -4.1320 10.9996\nCd -9.0733 2.3369 11.2474\nCd -6.3031 -8.6953 11.2551\nCd -2.0938 4.9272 11.4096\nCd 0.6764 -6.1049 11.4173\nCd 4.8857 7.5176 11.5717\nCd 7.6559 -3.5146 11.5794\nCd 14.6354 -0.9242 11.7416\nCd -13.2882 2.9543 11.8273\nCd -10.5181 -8.0779 11.8349\nCd -6.3087 5.5447 11.9894\nCd -3.5386 -5.4875 11.9971\nCd 0.6708 8.1350 12.1516\nCd 3.4409 -2.8971 12.1593\nCd 7.6503 10.7254 12.3138\nCd 10.4204 -0.3068 12.3214\nCd -10.5237 6.1621 12.5693\nCd -7.7535 -4.8701 12.5770\nCd -3.5442 8.7524 12.7314\nCd -0.7740 -2.2797 12.7391\nCd 1.9962 -13.3119 12.7468\nCd 3.4353 11.3428 12.8936\nCd 6.2055 0.3106 12.9013\nCd 13.1850 2.9010 13.0635\nCd -11.9684 -4.2526 13.1568\nCd -7.7591 9.3699 13.3113\nCd -4.9889 -1.6623 13.3190\nCd -2.2188 -12.6945 13.3267\nCd -0.7796 11.9602 13.4735\nCd 1.9905 0.9281 13.4811\nCd 4.7607 -10.1041 13.4888\nCd 8.9700 3.5184 13.6433\nCd -9.2039 -1.0449 13.8988\nCd -2.2244 1.5455 14.0610\nCd 0.5458 -9.4867 14.0687\nCd 4.7551 4.1358 14.2232\nCd 7.5253 -6.8963 14.2308\nCd -6.4393 2.1629 14.6408\nCd -3.6692 -8.8692 14.6485\nCd 0.5402 4.7533 14.8030\nCd 3.3103 -6.2789 14.8107\nCd 7.5197 7.3436 14.9652\nCd 10.2898 -3.6885 14.9729\nCd -10.6543 2.7803 15.2207\nCd -3.6748 5.3707 15.3829\nCd -0.9046 -5.6615 15.3905\nCd 3.3047 7.9611 15.5450\nCd 6.0749 -3.0711 15.5527\nCd -7.8897 5.9881 15.9627\nCd -5.1196 -5.0440 15.9704\nCd -0.9102 8.5785 16.1249\nCd 1.8599 -2.4537 16.1326\nCd 8.8394 0.1367 16.2947\nCd -2.3550 -1.8362 16.7124\nCd 4.6245 0.7541 16.8746\nCd -6.5700 -1.2188 17.2923\nCd 0.4095 1.3715 17.4544\nCd -3.8054 1.9890 18.0343\nSe 3.8054 -1.9890 -18.0343\nSe -0.4095 -1.3715 -17.4544\nSe 6.5700 1.2188 -17.2923\nSe -4.6245 -0.7541 -16.8746\nSe 2.3550 1.8362 -16.7124\nSe -8.8394 -0.1367 -16.2947\nSe -1.8599 2.4537 -16.1326\nSe 0.9102 -8.5785 -16.1249\nSe 5.1196 5.0440 -15.9704\nSe 7.8897 -5.9881 -15.9627\nSe -6.0749 3.0711 -15.5527\nSe -3.3047 -7.9611 -15.5450\nSe 0.9046 5.6615 -15.3905\nSe 3.6748 -5.3707 -15.3829\nSe 10.6543 -2.7803 -15.2207\nSe -10.2898 3.6885 -14.9729\nSe -7.5197 -7.3436 -14.9652\nSe -3.3103 6.2789 -14.8107\nSe -0.5402 -4.7533 -14.8030\nSe 3.6692 8.8692 -14.6485\nSe 6.4393 -2.1629 -14.6408\nSe -7.5253 6.8963 -14.2308\nSe -4.7551 -4.1358 -14.2232\nSe -0.5458 9.4867 -14.0687\nSe 2.2244 -1.5455 -14.0610\nSe 9.2039 1.0449 -13.8988\nSe -8.9700 -3.5184 -13.6433\nSe -4.7607 10.1041 -13.4888\nSe -1.9905 -0.9281 -13.4811\nSe 0.7796 -11.9602 -13.4735\nSe 2.2188 12.6945 -13.3267\nSe 4.9889 1.6623 -13.3190\nSe 7.7591 -9.3699 -13.3113\nSe 11.9684 4.2526 -13.1568\nSe -13.1850 -2.9010 -13.0635\nSe -6.2055 -0.3106 -12.9013\nSe -3.4353 -11.3428 -12.8936\nSe -1.9962 13.3119 -12.7468\nSe 0.7740 2.2797 -12.7391\nSe 3.5442 -8.7524 -12.7314\nSe 7.7535 4.8701 -12.5770\nSe 10.5237 -6.1621 -12.5693\nSe -10.4204 0.3068 -12.3214\nSe -7.6503 -10.7254 -12.3138\nSe -3.4409 2.8971 -12.1593\nSe -0.6708 -8.1350 -12.1516\nSe 3.5386 5.4875 -11.9971\nSe 6.3087 -5.5447 -11.9894\nSe 10.5181 8.0779 -11.8349\nSe 13.2882 -2.9543 -11.8273\nSe -14.6354 0.9242 -11.7416\nSe -7.6559 3.5146 -11.5794\nSe -4.8857 -7.5176 -11.5717\nSe -0.6764 6.1049 -11.4173\nSe 2.0938 -4.9272 -11.4096\nSe 6.3031 8.6953 -11.2551\nSe 9.0733 -2.3369 -11.2474\nSe -11.8708 4.1320 -10.9996\nSe -9.1007 -6.9002 -10.9919\nSe -4.8913 6.7224 -10.8374\nSe -2.1212 -4.3098 -10.8297\nSe 0.6490 -15.3420 -10.8220\nSe 2.0882 9.3127 -10.6752\nSe 4.8583 -1.7194 -10.6676\nSe 7.6285 -12.7516 -10.6599\nSe 9.0677 11.9031 -10.5131\nSe 11.8378 0.8709 -10.5054\nSe -13.3156 -6.2827 -10.4120\nSe -9.1063 7.3398 -10.2576\nSe -6.3361 -3.6924 -10.2499\nSe -3.5660 -14.7245 -10.2422\nSe -2.1268 9.9301 -10.0954\nSe 0.6434 -1.1020 -10.0877\nSe 3.4135 -12.1342 -10.0800\nSe 4.8527 12.5205 -9.9332\nSe 7.6229 1.4883 -9.9256\nSe 10.3930 -9.5438 -9.9179\nSe 14.6024 4.0787 -9.7634\nSe -13.3212 7.9572 -9.6777\nSe -10.5511 -3.0749 -9.6700\nSe -7.7809 -14.1071 -9.6623\nSe -6.3417 10.5476 -9.5155\nSe -3.5716 -0.4846 -9.5079\nSe -0.8014 -11.5167 -9.5002\nSe 0.6378 13.1379 -9.3534\nSe 3.4079 2.1058 -9.3457\nSe 6.1781 -8.9264 -9.3380\nSe 10.3874 4.6961 -9.1835\nSe 13.1576 -6.3360 -9.1759\nSe -14.7660 -2.4575 -9.0902\nSe -10.5567 11.1650 -8.9357\nSe -7.7865 0.1328 -8.9280\nSe -5.0163 -10.8993 -8.9203\nSe -3.5772 13.7554 -8.7735\nSe -0.8070 2.7232 -8.7659\nSe 1.9632 -8.3090 -8.7582\nSe 3.4023 16.3457 -8.6114\nSe 6.1725 5.3135 -8.6037\nSe 8.9426 -5.7186 -8.5960\nSe 13.1520 7.9039 -8.4415\nSe 15.9221 -3.1283 -8.4338\nSe -12.0015 0.7503 -8.3482\nSe -9.2313 -10.2819 -8.3405\nSe -7.7921 14.3728 -8.1937\nSe -5.0220 3.3406 -8.1860\nSe -2.2518 -7.6915 -8.1783\nSe -0.8126 16.9631 -8.0315\nSe 1.9575 5.9310 -8.0238\nSe 4.7277 -5.1012 -8.0162\nSe 8.9370 8.5213 -7.8617\nSe 11.7072 -2.5108 -7.8540\nSe -16.2164 1.3677 -7.7683\nSe -13.4462 -9.6645 -7.7606\nSe -9.2369 3.9581 -7.6062\nSe -6.4667 -7.0741 -7.5985\nSe -2.2574 6.5484 -7.4440\nSe 0.5128 -4.4838 -7.4363\nSe 3.2829 -15.5159 -7.4286\nSe 4.7221 9.1388 -7.2818\nSe 7.4923 -1.8934 -7.2741\nSe 10.2624 -12.9256 -7.2665\nSe 11.7016 11.7291 -7.1197\nSe 14.4718 0.6969 -7.1120\nSe -13.4518 4.5755 -7.0263\nSe -10.6817 -6.4567 -7.0186\nSe -6.4723 7.1658 -6.8641\nSe -3.7022 -3.8663 -6.8565\nSe -0.9320 -14.8985 -6.8488\nSe 0.5072 9.7562 -6.7020\nSe 3.2773 -1.2760 -6.6943\nSe 6.0475 -12.3081 -6.6866\nSe 7.4866 12.3465 -6.5398\nSe 10.2568 1.3144 -6.5321\nSe 13.0270 -9.7178 -6.5244\nSe -14.8966 -5.8392 -6.4388\nSe 17.2363 3.9047 -6.3700\nSe -10.6873 7.7833 -6.2843\nSe -7.9171 -3.2489 -6.2766\nSe -5.1470 -14.2811 -6.2689\nSe -3.7078 10.3736 -6.1221\nSe -0.9376 -0.6585 -6.1144\nSe 1.8325 -11.6907 -6.1068\nSe 3.2717 12.9640 -5.9600\nSe 6.0419 1.9318 -5.9523\nSe 8.8120 -9.1004 -5.9446\nSe 13.0214 4.5222 -5.7901\nSe 15.7915 -6.5100 -5.7824\nSe -14.9022 8.4007 -5.7044\nSe -12.1321 -2.6315 -5.6968\nSe -9.3619 -13.6636 -5.6891\nSe -7.9227 10.9910 -5.5423\nSe -5.1526 -0.0411 -5.5346\nSe -2.3824 -11.0733 -5.5269\nSe -0.9432 13.5814 -5.3801\nSe 1.8269 2.5492 -5.3724\nSe 4.5971 -8.4829 -5.3647\nSe 6.0363 16.1717 -5.2179\nSe 8.8064 5.1396 -5.2103\nSe 11.5766 -5.8926 -5.2026\nSe -16.3470 -2.0140 -5.1169\nSe 15.7859 7.7299 -5.0481\nSe -12.1377 11.6085 -4.9624\nSe -9.3675 0.5763 -4.9547\nSe -6.5974 -10.4558 -4.9471\nSe -5.1582 14.1988 -4.8003\nSe -2.3880 3.1667 -4.7926\nSe 0.3821 -7.8655 -4.7849\nSe 1.8213 16.7892 -4.6381\nSe 4.5915 5.7570 -4.6304\nSe 7.3616 -5.2751 -4.6227\nSe 11.5710 8.3474 -4.4682\nSe 14.3411 -2.6848 -4.4606\nSe -13.5825 1.1937 -4.3749\nSe -10.8123 -9.8384 -4.3672\nSe -9.3731 14.8163 -4.2204\nSe -6.6030 3.7841 -4.2127\nSe -3.8328 -7.2481 -4.2050\nSe -1.0626 -18.2802 -4.1974\nSe -2.3936 17.4066 -4.0582\nSe 0.3765 6.3744 -4.0506\nSe 3.1467 -4.6577 -4.0429\nSe 5.9169 -15.6899 -4.0352\nSe 7.3560 8.9648 -3.8884\nSe 10.1262 -2.0674 -3.8807\nSe 12.8963 -13.0995 -3.8730\nSe -17.7974 1.8112 -3.7950\nSe -15.0272 -9.2210 -3.7874\nSe 14.3355 11.5552 -3.7262\nSe 17.1057 0.5230 -3.7185\nSe -10.8179 4.4015 -3.6329\nSe -8.0477 -6.6306 -3.6252\nSe -5.2776 -17.6628 -3.6175\nSe -3.8384 6.9919 -3.4707\nSe -1.0683 -4.0403 -3.4630\nSe 1.7019 -15.0724 -3.4553\nSe 3.1411 9.5822 -3.3085\nSe 5.9112 -1.4499 -3.3009\nSe 8.6814 -12.4821 -3.2932\nSe 10.1206 12.1726 -3.1464\nSe 12.8907 1.1404 -3.1387\nSe 15.6609 -9.8917 -3.1310\nSe -15.0329 5.0190 -3.0530\nSe -12.2627 -6.0132 -3.0453\nSe -8.0534 7.6093 -2.8909\nSe -5.2832 -3.4229 -2.8832\nSe -2.5130 -14.4550 -2.8755\nSe -1.0739 10.1997 -2.7287\nSe 1.6963 -0.8325 -2.7210\nSe 4.4665 -11.8647 -2.7133\nSe 5.9056 12.7900 -2.5665\nSe 8.6758 1.7579 -2.5588\nSe 11.4460 -9.2743 -2.5512\nSe -16.4776 -5.3958 -2.4655\nSe 15.6553 4.3482 -2.3967\nSe -12.2683 8.2267 -2.3110\nSe -9.4981 -2.8054 -2.3033\nSe -6.7280 -13.8376 -2.2956\nSe -5.2888 10.8171 -2.1488\nSe -2.5186 -0.2151 -2.1412\nSe 0.2515 -11.2472 -2.1335\nSe 1.6907 13.4074 -1.9867\nSe 4.4609 2.3753 -1.9790\nSe 7.2310 -8.6569 -1.9713\nSe 8.6702 15.9978 -1.8245\nSe 11.4404 4.9656 -1.8168\nSe 14.2105 -6.0665 -1.8091\nSe -16.4832 8.8442 -1.7312\nSe -13.7131 -2.1880 -1.7235\nSe -10.9429 -13.2202 -1.7158\nSe -9.5037 11.4345 -1.5690\nSe -6.7336 0.4024 -1.5613\nSe -3.9634 -10.6298 -1.5536\nSe -2.5243 14.0249 -1.4068\nSe 0.2459 2.9927 -1.3991\nSe 3.0161 -8.0394 -1.3915\nSe 4.4552 16.6152 -1.2447\nSe 7.2254 5.5831 -1.2370\nSe 9.9956 -5.4491 -1.2293\nSe -17.9280 -1.5706 -1.1436\nSe 14.2049 8.1734 -1.0748\nSe 16.9751 -2.8587 -1.0671\nSe -13.7187 12.0519 -0.9891\nSe -10.9485 1.0198 -0.9815\nSe -8.1784 -10.0124 -0.9738\nSe -6.7392 14.6423 -0.8270\nSe -3.9690 3.6101 -0.8193\nSe -1.1989 -7.4220 -0.8116\nSe 1.5713 -18.4542 -0.8039\nSe 0.2403 17.2327 -0.6648\nSe 3.0105 6.2005 -0.6571\nSe 5.7806 -4.8317 -0.6494\nSe 8.5508 -15.8638 -0.6418\nSe 9.9900 8.7908 -0.4950\nSe 12.7601 -2.2413 -0.4873\nSe -15.1635 1.6372 -0.4016\nSe -12.3933 -9.3949 -0.3939\nSe -10.9541 15.2597 -0.2471\nSe -8.1840 4.2276 -0.2394\nSe -5.4138 -6.8046 -0.2318\nSe -2.6437 -17.8368 -0.2241\nSe -3.9746 17.8501 -0.0850\nSe -1.2045 6.8179 -0.0773\nSe 1.5657 -4.2142 -0.0696\nSe 4.3358 -15.2464 -0.0619\nSe 5.7750 9.4083 0.0849\nSe 8.5452 -1.6239 0.0926\nSe 11.3153 -12.6560 0.1002\nSe -16.6083 -8.7775 0.1859\nSe 12.7545 11.9986 0.2470\nSe 15.5247 0.9665 0.2547\nSe -12.3989 4.8450 0.3404\nSe -9.6288 -6.1872 0.3481\nSe -6.8586 -17.2193 0.3558\nSe -5.4194 7.4354 0.5026\nSe -2.6493 -3.5968 0.5102\nSe 0.1209 -14.6290 0.5179\nSe 1.5601 10.0257 0.6647\nSe 4.3302 -1.0065 0.6724\nSe 7.1004 -12.0386 0.6801\nSe 8.5396 12.6161 0.8269\nSe 11.3097 1.5839 0.8346\nSe 14.0799 -9.4483 0.8423\nSe -16.6139 5.4624 0.9203\nSe -13.8437 -5.5697 0.9279\nSe 18.2892 4.1742 0.9967\nSe -9.6344 8.0528 1.0824\nSe -6.8642 -2.9794 1.0901\nSe -4.0940 -14.0115 1.0978\nSe -2.6549 10.6431 1.2446\nSe 0.1153 -0.3890 1.2523\nSe 2.8854 -11.4212 1.2599\nSe 4.3246 13.2335 1.4067\nSe 7.0948 2.2013 1.4144\nSe 9.8649 -8.8308 1.4221\nSe -18.0587 -4.9523 1.5078\nSe 14.0743 4.7917 1.5766\nSe 16.8444 -6.2405 1.5843\nSe -13.8493 8.6702 1.6623\nSe -11.0792 -2.3620 1.6699\nSe -8.3090 -13.3941 1.6776\nSe -6.8698 11.2606 1.8244\nSe -4.0997 0.2284 1.8321\nSe -1.3295 -10.8038 1.8398\nSe 0.1097 13.8509 1.9866\nSe 2.8798 2.8188 1.9943\nSe 5.6500 -8.2134 2.0020\nSe 7.0892 16.4413 2.1488\nSe 9.8593 5.4091 2.1564\nSe 12.6295 -5.6231 2.1641\nSe -15.2941 -1.7445 2.2498\nSe -12.5239 -12.7767 2.2575\nSe 16.8388 7.9995 2.3186\nSe -11.0848 11.8780 2.4043\nSe -8.3146 0.8458 2.4120\nSe -5.5444 -10.1863 2.4196\nSe -4.1053 14.4683 2.5664\nSe -1.3351 3.4362 2.5741\nSe 1.4351 -7.5960 2.5818\nSe 2.8742 17.0587 2.7286\nSe 5.6444 6.0265 2.7363\nSe 8.4146 -5.0056 2.7440\nSe 12.6239 8.6169 2.8985\nSe 15.3941 -2.4153 2.9061\nSe -12.5295 1.4633 2.9918\nSe -9.7594 -9.5689 2.9995\nSe -8.3202 15.0858 3.1463\nSe -5.5500 4.0536 3.1540\nSe -2.7799 -6.9785 3.1617\nSe -0.0097 -18.0107 3.1693\nSe -1.3407 17.6761 3.3085\nSe 1.4294 6.6440 3.3161\nSe 4.1996 -4.3882 3.3238\nSe 6.9698 -15.4204 3.3315\nSe 8.4089 9.2343 3.4783\nSe 11.1791 -1.7978 3.4860\nSe -16.7445 2.0807 3.5717\nSe -13.9743 -8.9515 3.5793\nSe 18.1586 0.7925 3.6482\nSe -9.7650 4.6710 3.7338\nSe -6.9948 -6.3611 3.7415\nSe -4.2247 -17.3933 3.7492\nSe -2.7855 7.2614 3.8960\nSe -0.0153 -3.7708 3.9037\nSe 2.7548 -14.8029 3.9114\nSe 4.1940 9.8517 4.0582\nSe 6.9642 -1.1804 4.0658\nSe 9.7343 -12.2126 4.0735\nSe 11.1735 12.4421 4.2203\nSe 13.9437 1.4099 4.2280\nSe -13.9799 5.2885 4.3137\nSe -11.2098 -5.7437 4.3214\nSe -7.0004 7.8788 4.4758\nSe -4.2303 -3.1533 4.4835\nSe -1.4601 -14.1855 4.4912\nSe -0.0209 10.4692 4.6380\nSe 2.7492 -0.5630 4.6457\nSe 5.5194 -11.5951 4.6534\nSe 6.9586 13.0595 4.8002\nSe 9.7287 2.0274 4.8079\nSe 12.4989 -9.0048 4.8155\nSe -15.4247 -5.1263 4.9012\nSe 16.7082 4.6177 4.9700\nSe -11.2154 8.4963 5.0557\nSe -8.4452 -2.5359 5.0634\nSe -5.6751 -13.5681 5.0711\nSe -4.2359 11.0866 5.2179\nSe -1.4657 0.0544 5.2255\nSe 1.3044 -10.9777 5.2332\nSe 2.7436 13.6770 5.3800\nSe 5.5138 2.6448 5.3877\nSe 8.2839 -8.3874 5.3954\nSe 12.4933 5.2351 5.5499\nSe 15.2634 -5.7970 5.5576\nSe -15.4303 9.1137 5.6355\nSe -12.6602 -1.9185 5.6432\nSe -9.8900 -12.9506 5.6509\nSe -8.4508 11.7040 5.7977\nSe -5.6807 0.6719 5.8054\nSe -2.9105 -10.3603 5.8131\nSe -1.4713 14.2944 5.9599\nSe 1.2988 3.2622 5.9676\nSe 4.0690 -7.7699 5.9752\nSe 5.5082 16.8847 6.1220\nSe 8.2783 5.8526 6.1297\nSe 11.0485 -5.1796 6.1374\nSe -16.8751 -1.3010 6.2231\nSe 15.2578 8.4429 6.2919\nSe -12.6658 12.3215 6.3776\nSe -9.8956 1.2893 6.3852\nSe -7.1255 -9.7429 6.3929\nSe -5.6863 14.9118 6.5397\nSe -2.9161 3.8797 6.5474\nSe -0.1460 -7.1525 6.5551\nSe 1.2932 17.5022 6.7019\nSe 4.0634 6.4700 6.7096\nSe 6.8335 -4.5622 6.7173\nSe 11.0429 9.0604 6.8717\nSe 13.8130 -1.9718 6.8794\nSe -14.1106 1.9067 6.9651\nSe -11.3404 -9.1254 6.9728\nSe -7.1311 4.4971 7.1273\nSe -4.3609 -6.5351 7.1349\nSe -0.1516 7.0874 7.2894\nSe 2.6186 -3.9447 7.2971\nSe 5.3888 -14.9769 7.3048\nSe 6.8279 9.6778 7.4516\nSe 9.5981 -1.3544 7.4593\nSe 16.5776 1.2360 7.6214\nSe -11.3460 5.1145 7.7071\nSe -8.5758 -5.9176 7.7148\nSe -4.3665 7.7049 7.8693\nSe -1.5963 -3.3273 7.8770\nSe 1.1738 -14.3595 7.8846\nSe 2.6130 10.2952 8.0314\nSe 5.3831 -0.7369 8.0391\nSe 8.1533 -11.7691 8.0468\nSe 9.5925 12.8856 8.1936\nSe 12.3626 1.8534 8.2013\nSe -15.5610 5.7319 8.2870\nSe -12.7908 -5.3002 8.2946\nSe -8.5815 8.3223 8.4491\nSe -5.8113 -2.7099 8.4568\nSe -3.0411 -13.7420 8.4645\nSe -1.6020 10.9126 8.6113\nSe 1.1682 -0.1195 8.6190\nSe 3.9384 -11.1517 8.6267\nSe 5.3775 13.5030 8.7734\nSe 8.1477 2.4708 8.7811\nSe 10.9179 -8.5613 8.7888\nSe 15.1272 5.0612 8.9433\nSe -12.7964 8.9397 9.0290\nSe -10.0262 -2.0924 9.0367\nSe -7.2561 -13.1246 9.0443\nSe -5.8169 11.5301 9.1911\nSe -3.0467 0.4979 9.1988\nSe -0.2766 -10.5342 9.2065\nSe 1.1626 14.1204 9.3533\nSe 3.9328 3.0883 9.3610\nSe 6.7029 -7.9439 9.3687\nSe 10.9123 5.6786 9.5231\nSe 13.6824 -5.3535 9.5308\nSe -14.2412 -1.4750 9.6165\nSe -10.0318 12.1475 9.7710\nSe -7.2617 1.1153 9.7787\nSe -4.4915 -9.9168 9.7864\nSe -3.0523 14.7379 9.9331\nSe -0.2822 3.7057 9.9408\nSe 2.4880 -7.3265 9.9485\nSe 6.6973 6.2961 10.1030\nSe 9.4675 -4.7361 10.1107\nSe -11.4766 1.7328 10.3585\nSe -8.7065 -9.2994 10.3662\nSe -4.4971 4.3231 10.5207\nSe -1.7270 -6.7090 10.5284\nSe 2.4824 6.9135 10.6828\nSe 5.2525 -4.1187 10.6905\nSe 9.4619 9.5038 10.8450\nSe 12.2320 -1.5283 10.8527\nSe -8.7121 4.9406 11.1005\nSe -5.9419 -6.0916 11.1082\nSe -1.7326 7.5309 11.2627\nSe 1.0376 -3.5012 11.2704\nSe 3.8077 -14.5334 11.2781\nSe 5.2469 10.1213 11.4249\nSe 8.0171 -0.9109 11.4325\nSe -12.9270 5.5580 11.6804\nSe -10.1569 -5.4742 11.6881\nSe -5.9475 8.1483 11.8425\nSe -3.1774 -2.8838 11.8502\nSe -0.4072 -13.9160 11.8579\nSe 1.0320 10.7387 12.0047\nSe 3.8021 -0.2935 12.0124\nSe 6.5723 -11.3256 12.0201\nSe 10.7816 2.2969 12.1746\nSe -10.1625 8.7658 12.4224\nSe -7.3923 -2.2664 12.4301\nSe -4.6221 -13.2985 12.4378\nSe -3.1830 11.3561 12.5846\nSe -0.4128 0.3240 12.5922\nSe 2.3574 -10.7082 12.5999\nSe 6.5667 2.9143 12.7544\nSe 9.3368 -8.1178 12.7621\nSe -11.6072 -1.6490 13.0099\nSe -4.6278 0.9414 13.1721\nSe -1.8576 -10.0908 13.1798\nSe 2.3517 3.5317 13.3343\nSe 5.1219 -7.5004 13.3419\nSe 9.3312 6.1221 13.4964\nSe 12.1014 -4.9101 13.5041\nSe -8.8427 1.5588 13.7519\nSe -6.0725 -9.4733 13.7596\nSe -1.8632 4.1492 13.9141\nSe 0.9070 -6.8830 13.9218\nSe 5.1163 6.7395 14.0763\nSe 7.8865 -4.2926 14.0840\nSe -6.0781 4.7666 14.4940\nSe -3.3080 -6.2656 14.5016\nSe 0.9014 7.3570 14.6561\nSe 3.6715 -3.6752 14.6638\nSe 10.6510 -1.0849 14.8260\nSe -7.5229 -5.6481 15.0815\nSe -3.3136 7.9744 15.2360\nSe -0.5434 -3.0578 15.2437\nSe 6.4361 -0.4674 15.4058\nSe -4.7584 -2.4403 15.8235\nSe 2.2211 0.1500 15.9857\nSe 9.2006 2.7404 16.1478\nSe -8.9733 -1.8229 16.4034\nSe -1.9938 0.7674 16.5655\nSe 4.9857 3.3578 16.7277\nSe -6.2088 1.3849 17.1454\nSe 0.7707 3.9752 17.3075\nSe -3.4442 4.5926 17.8874\n"
    },
    {
     "name": "CdSe-QD-D.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1448\nModel zinc-blende CdSe nanocrystal CdSe-QD-D (spherical cut, no ligands), angstrom\nCd -5.8426 -2.0436 -19.9443\nCd -3.0946 -5.3420 -19.7163\nCd -1.7588 4.1780 -19.6930\nCd -0.3466 -8.6404 -19.4883\nCd 0.9893 0.8796 -19.4650\nCd 3.7373 -2.4188 -19.2370\nCd 5.0731 7.1013 -19.2137\nCd 6.4853 -5.7172 -19.0090\nCd 7.8211 3.8028 -18.9857\nCd -8.9541 -4.5232 -18.3154\nCd -7.6183 4.9968 -18.2920\nCd -6.2060 -7.8217 -18.0874\nCd -4.8702 1.6984 -18.0641\nCd -3.4580 -11.1201 -17.8594\nCd -2.1222 -1.6000 -17.8361\nCd -0.7864 7.9200 -17.8127\nCd 0.6259 -4.8984 -17.6081\nCd 1.9617 4.6216 -17.5847\nCd 3.3739 -8.1969 -17.3801\nCd 4.7097 1.3232 -17.3567\nCd 6.0455 10.8432 -17.3334\nCd 7.4577 -1.9752 -17.1288\nCd 8.7936 7.5448 -17.1054\nCd 10.2058 -5.2736 -16.9008\nCd 11.5416 4.2464 -16.8774\nCd -10.7297 2.5171 -16.6631\nCd -7.9817 -0.7813 -16.4351\nCd -6.6458 8.7387 -16.4118\nCd -5.2336 -4.0797 -16.2071\nCd -3.8978 5.4403 -16.1838\nCd -2.4856 -7.3781 -15.9791\nCd -1.1498 2.1419 -15.9558\nCd 0.1860 11.6620 -15.9325\nCd 0.2625 -10.6765 -15.7511\nCd 1.5983 -1.1565 -15.7278\nCd 2.9341 8.3636 -15.7045\nCd 3.0105 -13.9749 -15.5231\nCd 4.3463 -4.4549 -15.4998\nCd 5.6821 5.0651 -15.4765\nCd 7.0943 -7.7533 -15.2718\nCd 8.4302 1.7667 -15.2485\nCd 9.7660 11.2868 -15.2252\nCd 9.8424 -11.0517 -15.0438\nCd -13.8411 0.0375 -15.0342\nCd 11.1782 -1.5317 -15.0205\nCd 12.5140 7.9884 -14.9972\nCd -11.0931 -3.2609 -14.8062\nCd 13.9262 -4.8301 -14.7925\nCd -9.7573 6.2591 -14.7829\nCd -8.3451 -6.5594 -14.5782\nCd -7.0092 2.9607 -14.5549\nCd -5.6734 12.4807 -14.5315\nCd -5.5970 -9.8578 -14.3502\nCd -4.2612 -0.3377 -14.3269\nCd -2.9254 9.1823 -14.3035\nCd -2.8490 -13.1562 -14.1222\nCd -1.5132 -3.6361 -14.0989\nCd -0.1774 5.8839 -14.0756\nCd 1.1585 15.4039 -14.0522\nCd 1.2349 -6.9346 -13.8709\nCd 2.5707 2.5855 -13.8476\nCd 3.9065 12.1055 -13.8242\nCd 3.9829 -10.2330 -13.6429\nCd 5.3187 -0.7129 -13.6196\nCd 6.6545 8.8071 -13.5962\nCd 6.7309 -13.5314 -13.4149\nCd 8.0668 -4.0113 -13.3916\nCd 9.4026 5.5087 -13.3682\nCd -14.2045 -5.7406 -13.1773\nCd 10.8148 -7.3098 -13.1636\nCd -12.8687 3.7794 -13.1539\nCd 12.1506 2.2103 -13.1403\nCd -11.4565 -9.0390 -12.9493\nCd -10.1207 0.4810 -12.9259\nCd 14.8986 -1.0881 -12.9123\nCd -8.7849 10.0010 -12.9026\nCd -8.7085 -12.3374 -12.7213\nCd -7.3726 -2.8174 -12.6979\nCd -6.0368 6.7026 -12.6746\nCd -4.7010 16.2227 -12.6513\nCd -5.9604 -15.6358 -12.4933\nCd -4.6246 -6.1158 -12.4699\nCd -3.2888 3.4042 -12.4466\nCd -1.9530 12.9243 -12.4233\nCd -1.8766 -9.4142 -12.2419\nCd -0.5408 0.1058 -12.2186\nCd 0.7951 9.6258 -12.1953\nCd 0.8715 -12.7126 -12.0140\nCd 2.2073 -3.1926 -11.9906\nCd 3.5431 6.3274 -11.9673\nCd 4.8789 15.8475 -11.9440\nCd 3.6195 -16.0110 -11.7860\nCd 4.9553 -6.4910 -11.7626\nCd 6.2911 3.0290 -11.7393\nCd 7.6269 12.5491 -11.7160\nCd 7.7034 -9.7894 -11.5346\nCd -15.9802 1.2998 -11.5250\nCd 9.0392 -0.2694 -11.5113\nCd 10.3750 9.2506 -11.4880\nCd 10.4514 -13.0878 -11.3066\nCd -13.2321 -1.9987 -11.2970\nCd 11.7872 -3.5678 -11.2833\nCd -11.8963 7.5214 -11.2737\nCd 13.1230 5.9522 -11.2600\nCd -10.4841 -5.2971 -11.0690\nCd 14.5352 -6.8662 -11.0553\nCd -9.1483 4.2230 -11.0457\nCd 15.8711 2.6538 -11.0320\nCd -7.8124 13.7430 -11.0224\nCd -7.7360 -8.5955 -10.8410\nCd -6.4002 0.9246 -10.8177\nCd -5.0644 10.4446 -10.7944\nCd -4.9880 -11.8939 -10.6130\nCd -3.6522 -2.3739 -10.5897\nCd -2.3164 7.1462 -10.5664\nCd -0.9806 16.6662 -10.5430\nCd -2.2400 -15.1923 -10.3850\nCd -0.9042 -5.6723 -10.3617\nCd 0.4317 3.8478 -10.3384\nCd 1.7675 13.3678 -10.3150\nCd 0.5081 -18.4907 -10.1570\nCd 1.8439 -8.9707 -10.1337\nCd 3.1797 0.5494 -10.1104\nCd 4.5155 10.0694 -10.0871\nCd 4.5919 -12.2691 -9.9057\nCd 5.9277 -2.7491 -9.8824\nCd 7.2635 6.7710 -9.8591\nCd 8.5994 16.2910 -9.8357\nCd 7.3400 -15.5675 -9.6777\nCd -16.3435 -4.4783 -9.6681\nCd 8.6758 -6.0475 -9.6544\nCd -15.0077 5.0417 -9.6447\nCd 10.0116 3.4726 -9.6311\nCd 11.3474 12.9926 -9.6077\nCd -13.5955 -7.7767 -9.4401\nCd 11.4238 -9.3459 -9.4264\nCd -12.2597 1.7433 -9.4167\nCd 12.7596 0.1742 -9.4031\nCd -10.9239 11.2633 -9.3934\nCd 14.0954 9.6942 -9.3797\nCd -10.8475 -11.0751 -9.2121\nCd 14.1718 -12.6443 -9.1984\nCd -9.5117 -1.5551 -9.1887\nCd 15.5077 -3.1242 -9.1751\nCd -8.1758 7.9649 -9.1654\nCd 16.8435 6.3958 -9.1518\nCd -6.8400 17.4850 -9.1421\nCd -8.0994 -14.3736 -8.9841\nCd -6.7636 -4.8535 -8.9608\nCd 18.2557 -6.4227 -8.9471\nCd -5.4278 4.6665 -8.9374\nCd -4.0920 14.1866 -8.9141\nCd -5.3514 -17.6720 -8.7561\nCd -4.0156 -8.1519 -8.7328\nCd -2.6798 1.3681 -8.7094\nCd -1.3440 10.8881 -8.6861\nCd -1.2676 -11.4503 -8.5048\nCd 0.0683 -1.9303 -8.4814\nCd 1.4041 7.5897 -8.4581\nCd 2.7399 17.1098 -8.4348\nCd 1.4805 -14.7487 -8.2768\nCd 2.8163 -5.2287 -8.2534\nCd 4.1521 4.2913 -8.2301\nCd 5.4879 13.8114 -8.2068\nCd 4.2285 -18.0472 -8.0488\nCd 5.5643 -8.5271 -8.0255\nCd -18.1192 2.5620 -8.0158\nCd 6.9001 0.9929 -8.0021\nCd 8.2360 10.5129 -7.9788\nCd -16.7069 -10.2564 -7.8111\nCd 8.3124 -11.8255 -7.7975\nCd -15.3711 -0.7364 -7.7878\nCd 9.6482 -2.3055 -7.7741\nCd -14.0353 8.7837 -7.7645\nCd 10.9840 7.2145 -7.7508\nCd -13.9589 -13.5548 -7.5831\nCd 11.0604 -15.1239 -7.5695\nCd -12.6231 -4.0348 -7.5598\nCd 12.3962 -5.6039 -7.5461\nCd -11.2873 5.4853 -7.5365\nCd 13.7320 3.9161 -7.5228\nCd -9.9515 15.0053 -7.5132\nCd -9.8751 -7.3332 -7.3318\nCd 15.1443 -8.9023 -7.3181\nCd -8.5392 2.1869 -7.3085\nCd 16.4801 0.6177 -7.2948\nCd -7.2034 11.7069 -7.2852\nCd -7.1270 -10.6316 -7.1038\nCd -5.7912 -1.1116 -7.0805\nCd 19.2281 -2.6807 -7.0668\nCd -4.4554 8.4085 -7.0572\nCd -3.1196 17.9285 -7.0339\nCd -4.3790 -13.9300 -6.8758\nCd -3.0432 -4.4100 -6.8525\nCd -1.7074 5.1101 -6.8292\nCd -0.3715 14.6301 -6.8059\nCd -1.6310 -17.2284 -6.6478\nCd -0.2951 -7.7084 -6.6245\nCd 1.0407 1.8117 -6.6012\nCd 2.3765 11.3317 -6.5779\nCd 2.4529 -11.0068 -6.3965\nCd 3.7887 -1.4868 -6.3732\nCd 5.1245 8.0333 -6.3499\nCd 6.4603 17.5533 -6.3265\nCd 5.2009 -14.3052 -6.1685\nCd -18.4826 -3.2160 -6.1589\nCd 6.5367 -4.7852 -6.1452\nCd -17.1468 6.3040 -6.1356\nCd 7.8726 4.7349 -6.1219\nCd 9.2084 14.2549 -6.0986\nCd 7.9490 -17.6036 -5.9405\nCd -15.7345 -6.5144 -5.9309\nCd 9.2848 -8.0836 -5.9172\nCd -14.3987 3.0056 -5.9076\nCd 10.6206 1.4365 -5.8939\nCd -13.0629 12.5256 -5.8842\nCd 11.9564 10.9565 -5.8706\nCd -12.9865 -9.8128 -5.7029\nCd 12.0328 -11.3820 -5.6892\nCd -11.6507 -0.2928 -5.6796\nCd 13.3686 -1.8620 -5.6659\nCd -10.3149 9.2272 -5.6562\nCd 14.7045 7.6581 -5.6426\nCd -10.2385 -13.1113 -5.4749\nCd -8.9026 -3.5912 -5.4516\nCd 16.1167 -5.1604 -5.4379\nCd -7.5668 5.9288 -5.4282\nCd 17.4525 4.3597 -5.4146\nCd -6.2310 15.4488 -5.4049\nCd -7.4904 -16.4097 -5.2469\nCd -6.1546 -6.8896 -5.2236\nCd 18.8647 -8.4588 -5.2099\nCd -4.8188 2.6304 -5.2002\nCd 20.2005 1.0613 -5.1866\nCd -3.4830 12.1504 -5.1769\nCd -4.7424 -19.7081 -5.0189\nCd -3.4066 -10.1880 -4.9956\nCd -2.0708 -0.6680 -4.9723\nCd -0.7349 8.8520 -4.9489\nCd 0.6009 18.3721 -4.9256\nCd -0.6585 -13.4865 -4.7676\nCd 0.6773 -3.9664 -4.7443\nCd 2.0131 5.5536 -4.7209\nCd 3.3489 15.0736 -4.6976\nCd 2.0895 -16.7849 -4.5396\nCd 3.4253 -7.2648 -4.5163\nCd -20.2582 3.8243 -4.5066\nCd 4.7611 2.2552 -4.4929\nCd 6.0969 11.7752 -4.4696\nCd 4.8375 -20.0833 -4.3116\nCd -18.8460 -8.9941 -4.3019\nCd 6.1734 -10.5632 -4.2883\nCd -17.5102 0.5259 -4.2786\nCd 7.5092 -1.0432 -4.2649\nCd -16.1743 10.0460 -4.2553\nCd 8.8450 8.4768 -4.2416\nCd 10.1808 17.9969 -4.2183\nCd -16.0979 -12.2925 -4.0740\nCd 8.9214 -13.8617 -4.0603\nCd -14.7621 -2.7725 -4.0506\nCd 10.2572 -4.3416 -4.0370\nCd -13.4263 6.7476 -4.0273\nCd 11.5930 5.1784 -4.0136\nCd -12.0905 16.2676 -4.0040\nCd 12.9288 14.6985 -3.9903\nCd -13.3499 -15.5909 -3.8460\nCd 11.6694 -17.1601 -3.8323\nCd -12.0141 -6.0709 -3.8226\nCd 13.0052 -7.6400 -3.8090\nCd -10.6783 3.4491 -3.7993\nCd 14.3411 1.8800 -3.7856\nCd -9.3425 12.9692 -3.7760\nCd 15.6769 11.4000 -3.7623\nCd -9.2660 -9.3693 -3.5946\nCd 15.7533 -10.9384 -3.5810\nCd -7.9302 0.1507 -3.5713\nCd 17.0891 -1.4184 -3.5576\nCd -6.5944 9.6708 -3.5480\nCd 18.4249 8.1016 -3.5343\nCd -5.2586 19.1908 -3.5247\nCd -6.5180 -12.6677 -3.3666\nCd -5.1822 -3.1477 -3.3433\nCd 19.8371 -4.7168 -3.3296\nCd -3.8464 6.3724 -3.3200\nCd -2.5106 15.8924 -3.2967\nCd -3.7700 -15.9661 -3.1386\nCd -2.4342 -6.4461 -3.1153\nCd -1.0983 3.0739 -3.0920\nCd 0.2375 12.5940 -3.0687\nCd -1.0219 -19.2645 -2.9107\nCd 0.3139 -9.7445 -2.8873\nCd 1.6497 -0.2245 -2.8640\nCd 2.9855 9.2956 -2.8407\nCd 4.3213 18.8156 -2.8174\nCd 3.0619 -13.0429 -2.6593\nCd -20.6216 -1.9537 -2.6497\nCd 4.3977 -3.5229 -2.6360\nCd -19.2858 7.5663 -2.6264\nCd 5.7335 5.9972 -2.6127\nCd 7.0694 15.5172 -2.5894\nCd 5.8100 -16.3413 -2.4313\nCd -17.8736 -5.2521 -2.4217\nCd 7.1458 -6.8213 -2.4080\nCd -16.5377 4.2679 -2.3984\nCd 8.4816 2.6988 -2.3847\nCd -15.2019 13.7879 -2.3750\nCd 9.8174 12.2188 -2.3614\nCd -15.1255 -8.5506 -2.1937\nCd 9.8938 -10.1197 -2.1800\nCd -13.7897 0.9695 -2.1704\nCd 11.2296 -0.5997 -2.1567\nCd -12.4539 10.4895 -2.1471\nCd 12.5654 8.9204 -2.1334\nCd -12.3775 -11.8490 -1.9657\nCd 12.6418 -13.4181 -1.9520\nCd -11.0417 -2.3289 -1.9424\nCd 13.9777 -3.8981 -1.9287\nCd -9.7059 7.1911 -1.9191\nCd 15.3135 5.6220 -1.9054\nCd -8.3700 16.7111 -1.8957\nCd -9.6294 -15.1474 -1.7377\nCd -8.2936 -5.6273 -1.7144\nCd 16.7257 -7.1965 -1.7007\nCd -6.9578 3.8927 -1.6911\nCd 18.0615 2.3236 -1.6774\nCd -5.6220 13.4127 -1.6677\nCd -6.8814 -18.4458 -1.5097\nCd -5.5456 -8.9258 -1.4864\nCd -4.2098 0.5943 -1.4631\nCd 20.8095 -0.9749 -1.4494\nCd -2.8740 10.1143 -1.4397\nCd -1.5382 19.6344 -1.4164\nCd -2.7976 -12.2242 -1.2584\nCd -1.4617 -2.7041 -1.2351\nCd -0.1259 6.8159 -1.2117\nCd 1.2099 16.3359 -1.1884\nCd -0.0495 -15.5226 -1.0304\nCd 1.2863 -6.0025 -1.0071\nCd 2.6221 3.5175 -0.9838\nCd 3.9579 13.0375 -0.9604\nCd 2.6985 -18.8210 -0.8024\nCd 4.0343 -9.3009 -0.7791\nCd -19.6492 1.7882 -0.7694\nCd 5.3701 0.2191 -0.7558\nCd 6.7060 9.7391 -0.7324\nCd 8.0418 19.2592 -0.7091\nCd -18.2370 -11.0302 -0.5648\nCd 6.7824 -12.5994 -0.5511\nCd -16.9011 -1.5102 -0.5414\nCd 8.1182 -3.0793 -0.5278\nCd -15.5653 8.0099 -0.5181\nCd 9.4540 6.4407 -0.5044\nCd 10.7898 15.9607 -0.4811\nCd -15.4889 -14.3286 -0.3368\nCd 9.5304 -15.8978 -0.3231\nCd -14.1531 -4.8086 -0.3134\nCd 10.8662 -6.3777 -0.2998\nCd -12.8173 4.7114 -0.2901\nCd 12.2020 3.1423 -0.2764\nCd -11.4815 14.2315 -0.2668\nCd 13.5378 12.6623 -0.2531\nCd -11.4051 -8.1070 -0.0855\nCd 13.6143 -9.6761 -0.0718\nCd -10.0693 1.4130 -0.0621\nCd 14.9501 -0.1561 -0.0485\nCd -8.7334 10.9331 -0.0388\nCd 16.2859 9.3639 -0.0251\nCd -8.6570 -11.4054 0.1425\nCd 16.3623 -12.9746 0.1562\nCd -7.3212 -1.8854 0.1659\nCd 17.6981 -3.4545 0.1795\nCd -5.9854 7.6347 0.1892\nCd 19.0339 6.0655 0.2029\nCd -4.6496 17.1547 0.2125\nCd -5.9090 -14.7038 0.3705\nCd -4.5732 -5.1838 0.3939\nCd -3.2374 4.3362 0.4172\nCd -1.9016 13.8563 0.4405\nCd -3.1610 -18.0022 0.5985\nCd -1.8251 -8.4822 0.6219\nCd -0.4893 1.0378 0.6452\nCd 0.8465 10.5579 0.6685\nCd 2.1823 20.0779 0.6918\nCd -0.4129 -21.3006 0.8265\nCd 0.9229 -11.7806 0.8499\nCd 2.2587 -2.2606 0.8732\nCd 3.5945 7.2595 0.8965\nCd 4.9303 16.7795 0.9198\nCd 3.6709 -15.0790 1.0778\nCd -20.0126 -3.9898 1.0875\nCd 5.0067 -5.5590 1.1012\nCd -18.6768 5.5302 1.1108\nCd 6.3426 3.9610 1.1245\nCd 7.6784 13.4811 1.1478\nCd 6.4190 -18.3774 1.3058\nCd -17.2645 -7.2883 1.3155\nCd 7.7548 -8.8574 1.3292\nCd -15.9287 2.2318 1.3388\nCd 9.0906 0.6626 1.3525\nCd -14.5929 11.7518 1.3621\nCd 10.4264 10.1827 1.3758\nCd -14.5165 -10.5867 1.5435\nCd 10.5028 -12.1558 1.5572\nCd -13.1807 -1.0666 1.5668\nCd 11.8386 -2.6358 1.5805\nCd -11.8449 8.4534 1.5901\nCd 13.1744 6.8843 1.6038\nCd -10.5091 17.9734 1.6135\nCd -11.7685 -13.8851 1.7715\nCd 13.2509 -15.4542 1.7852\nCd -10.4327 -4.3650 1.7948\nCd 14.5867 -5.9342 1.8085\nCd -9.0968 5.1550 1.8181\nCd 15.9225 3.5858 1.8318\nCd -7.7610 14.6750 1.8415\nCd -9.0204 -17.1835 1.9995\nCd -7.6846 -7.6635 2.0228\nCd 17.3347 -9.2326 2.0365\nCd -6.3488 1.8566 2.0461\nCd 18.6705 0.2874 2.0598\nCd -5.0130 11.3766 2.0694\nCd -3.6772 20.8966 2.0928\nCd -4.9366 -10.9619 2.2508\nCd -3.6008 -1.4418 2.2741\nCd -2.2650 8.0782 2.2974\nCd -0.9291 17.5982 2.3208\nCd -2.1885 -14.2603 2.4788\nCd -0.8527 -4.7402 2.5021\nCd 0.4831 4.7798 2.5254\nCd 1.8189 14.2998 2.5488\nCd 0.5595 -17.5587 2.7068\nCd 1.8953 -8.0387 2.7301\nCd 3.2311 1.4814 2.7534\nCd 4.5669 11.0014 2.7768\nCd 3.3075 -20.8571 2.9348\nCd 4.6433 -11.3371 2.9581\nCd -19.0402 -0.2479 2.9677\nCd 5.9792 -1.8170 2.9814\nCd -17.7043 9.2721 2.9911\nCd 7.3150 7.7030 3.0047\nCd 8.6508 17.2230 3.0281\nCd 7.3914 -14.6355 3.1861\nCd -16.2921 -3.5463 3.1957\nCd 8.7272 -5.1154 3.2094\nCd -14.9563 5.9737 3.2191\nCd 10.0630 4.4046 3.2327\nCd -13.6205 15.4938 3.2424\nCd 11.3988 13.9246 3.2561\nCd 10.1394 -17.9339 3.4141\nCd -13.5441 -6.8447 3.4237\nCd 11.4752 -8.4139 3.4374\nCd -12.2083 2.6753 3.4471\nCd 12.8110 1.1062 3.4607\nCd -10.8725 12.1954 3.4704\nCd 14.1469 10.6262 3.4841\nCd -10.7961 -10.1431 3.6517\nCd 14.2233 -11.7123 3.6654\nCd -9.4602 -0.6231 3.6751\nCd 15.5591 -2.1922 3.6887\nCd -8.1244 8.8969 3.6984\nCd 16.8949 7.3278 3.7121\nCd -6.7886 18.4170 3.7217\nCd -8.0480 -13.4415 3.8797\nCd -6.7122 -3.9215 3.9031\nCd 18.3071 -5.4906 3.9167\nCd -5.3764 5.5985 3.9264\nCd 19.6429 4.0294 3.9400\nCd -4.0406 15.1186 3.9497\nCd -5.3000 -16.7399 4.1077\nCd -3.9642 -7.2199 4.1310\nCd -2.6284 2.3001 4.1544\nCd -1.2925 11.8202 4.1777\nCd -2.5519 -20.0384 4.3357\nCd -1.2161 -10.5183 4.3590\nCd 0.1197 -0.9983 4.3824\nCd 1.4555 8.5218 4.4057\nCd 2.7913 18.0418 4.4290\nCd 1.5319 -13.8167 4.5870\nCd 2.8677 -4.2967 4.6104\nCd 4.2035 5.2233 4.6337\nCd 5.5393 14.7434 4.6570\nCd 4.2799 -17.1151 4.8150\nCd -19.4036 -6.0260 4.8247\nCd 5.6158 -7.5951 4.8384\nCd -18.0677 3.4941 4.8480\nCd 6.9516 1.9249 4.8617\nCd 8.2874 11.4450 4.8850\nCd -16.6555 -9.3244 5.0527\nCd 8.3638 -10.8935 5.0663\nCd -15.3197 0.1957 5.0760\nCd 9.6996 -1.3735 5.0897\nCd -13.9839 9.7157 5.0993\nCd 11.0354 8.1466 5.1130\nCd -13.9075 -12.6228 5.2807\nCd 11.1118 -14.1919 5.2943\nCd -12.5717 -3.1028 5.3040\nCd 12.4476 -4.6719 5.3177\nCd -11.2359 6.4173 5.3273\nCd 13.7835 4.8481 5.3410\nCd -9.9000 15.9373 5.3506\nCd -11.1595 -15.9212 5.5087\nCd -9.8236 -6.4012 5.5320\nCd 15.1957 -7.9703 5.5457\nCd -8.4878 3.1189 5.5553\nCd 16.5315 1.5497 5.5690\nCd -7.1520 12.6389 5.5786\nCd -7.0756 -9.6996 5.7600\nCd -5.7398 -0.1795 5.7833\nCd 19.2795 -1.7487 5.7970\nCd -4.4040 9.3405 5.8066\nCd -3.0682 18.8605 5.8300\nCd -4.3276 -12.9980 5.9880\nCd -2.9918 -3.4779 6.0113\nCd -1.6559 6.0421 6.0346\nCd -0.3201 15.5621 6.0579\nCd -1.5795 -16.2964 6.2160\nCd -0.2437 -6.7764 6.2393\nCd 1.0921 2.7437 6.2626\nCd 2.4279 12.2637 6.2859\nCd 1.1685 -19.5948 6.4440\nCd 2.5043 -10.0748 6.4673\nCd 3.8401 -0.5547 6.4906\nCd 5.1759 8.9653 6.5139\nCd 6.5118 18.4853 6.5373\nCd 5.2524 -13.3732 6.6953\nCd -18.4311 -2.2840 6.7049\nCd 6.5882 -3.8531 6.7186\nCd -17.0953 7.2360 6.7283\nCd 7.9240 5.6669 6.7419\nCd 9.2598 15.1869 6.7653\nCd 8.0004 -16.6716 6.9233\nCd -15.6831 -5.5824 6.9329\nCd 9.3362 -7.1516 6.9466\nCd -14.3473 3.9376 6.9562\nCd 10.6720 2.3685 6.9699\nCd -13.0115 13.4577 6.9796\nCd 12.0078 11.8885 6.9932\nCd -12.9351 -8.8808 7.1609\nCd 12.0842 -10.4500 7.1746\nCd -11.5993 0.6392 7.1842\nCd 13.4201 -0.9299 7.1979\nCd -10.2634 10.1592 7.2076\nCd 14.7559 8.5901 7.2212\nCd -10.1870 -12.1792 7.3889\nCd -8.8512 -2.6592 7.4122\nCd 16.1681 -4.2283 7.4259\nCd -7.5154 6.8608 7.4356\nCd 17.5039 5.2917 7.4492\nCd -6.1796 16.3809 7.4589\nCd -7.4390 -15.4776 7.6169\nCd -6.1032 -5.9576 7.6402\nCd -4.7674 3.5624 7.6636\nCd -3.4316 13.0825 7.6869\nCd -4.6910 -18.7761 7.8449\nCd -3.3552 -9.2560 7.8682\nCd -2.0193 0.2640 7.8916\nCd -0.6835 9.7840 7.9149\nCd 0.6523 19.3041 7.9382\nCd -0.6071 -12.5544 8.0962\nCd 0.7287 -3.0344 8.1195\nCd 2.0645 6.4856 8.1429\nCd 3.4003 16.0057 8.1662\nCd 2.1409 -15.8528 8.3242\nCd 3.4767 -6.3328 8.3475\nCd 4.8126 3.1872 8.3709\nCd 6.1484 12.7073 8.3942\nCd 6.2248 -9.6312 8.5755\nCd -17.4587 1.4580 8.5852\nCd 7.5606 -0.1112 8.5989\nCd -16.1229 10.9780 8.6085\nCd 8.8964 9.4088 8.6222\nCd 8.9728 -12.9296 8.8035\nCd -14.7107 -1.8405 8.8132\nCd 10.3086 -3.4096 8.8269\nCd -13.3749 7.6796 8.8365\nCd 11.6444 6.1104 8.8502\nCd -11.9627 -5.1389 9.0412\nCd 13.0567 -6.7080 9.0548\nCd -10.6268 4.3812 9.0645\nCd 14.3925 2.8120 9.0782\nCd -9.2910 13.9012 9.0878\nCd -9.2146 -8.4373 9.2692\nCd 15.8047 -10.0064 9.2828\nCd -7.8788 1.0828 9.2925\nCd 17.1405 -0.4864 9.3062\nCd -6.5430 10.6028 9.3158\nCd -6.4666 -11.7357 9.4972\nCd -5.1308 -2.2157 9.5205\nCd -3.7950 7.3044 9.5438\nCd -2.4591 16.8244 9.5671\nCd -3.7186 -15.0341 9.7252\nCd -2.3827 -5.5141 9.7485\nCd -1.0469 4.0060 9.7718\nCd 0.2889 13.5260 9.7951\nCd -0.9705 -18.3325 9.9532\nCd 0.3653 -8.8125 9.9765\nCd 1.7011 0.7076 9.9998\nCd 3.0369 10.2276 10.0231\nCd 3.1133 -12.1109 10.2045\nCd 4.4492 -2.5909 10.2278\nCd 5.7850 6.9292 10.2511\nCd 7.1208 16.4492 10.2744\nCd 5.8614 -15.4093 10.4325\nCd -17.8221 -4.3201 10.4421\nCd 7.1972 -5.8893 10.4558\nCd -16.4863 5.1999 10.4654\nCd 8.5330 3.6308 10.4791\nCd 9.8688 13.1508 10.5024\nCd -15.0741 -7.6185 10.6701\nCd 9.9452 -9.1877 10.6838\nCd -13.7383 1.9015 10.6934\nCd 11.2810 0.3324 10.7071\nCd -12.4025 11.4215 10.7168\nCd 12.6169 9.8524 10.7304\nCd -12.3261 -10.9169 10.8981\nCd 12.6933 -12.4861 10.9118\nCd -10.9902 -1.3969 10.9214\nCd 14.0291 -2.9660 10.9351\nCd -9.6544 8.1231 10.9447\nCd 15.3649 6.5540 10.9584\nCd -9.5780 -14.2154 11.1261\nCd -8.2422 -4.6953 11.1494\nCd 16.7771 -6.2645 11.1631\nCd -6.9064 4.8247 11.1727\nCd -5.5706 14.3448 11.1961\nCd -5.4942 -7.9937 11.3774\nCd -4.1584 1.5263 11.4007\nCd -2.8225 11.0463 11.4241\nCd -2.7461 -11.2921 11.6054\nCd -1.4103 -1.7721 11.6287\nCd -0.0745 7.7479 11.6521\nCd 1.2613 17.2680 11.6754\nCd 0.0019 -14.5906 11.8334\nCd 1.3377 -5.0705 11.8567\nCd 2.6735 4.4495 11.8801\nCd 4.0093 13.9696 11.9034\nCd 4.0858 -8.3689 12.0847\nCd 5.4216 1.1511 12.1080\nCd 6.7574 10.6711 12.1314\nCd 6.8338 -11.6673 12.3127\nCd -16.8497 -0.5782 12.3224\nCd 8.1696 -2.1473 12.3360\nCd 9.5054 7.3727 12.3594\nCd -14.1017 -3.8766 12.5504\nCd 10.9176 -5.4457 12.5640\nCd -12.7659 5.6435 12.5737\nCd 12.2535 4.0743 12.5874\nCd -11.3536 -7.1750 12.7784\nCd 13.6657 -8.7441 12.7920\nCd -10.0178 2.3451 12.8017\nCd 15.0015 0.7759 12.8154\nCd -8.6820 11.8651 12.8250\nCd -8.6056 -10.4734 13.0063\nCd -7.2698 -0.9534 13.0297\nCd -5.9340 8.5667 13.0530\nCd -5.8576 -13.7718 13.2343\nCd -4.5218 -4.2518 13.2577\nCd -3.1859 5.2683 13.2810\nCd -1.8501 14.7883 13.3043\nCd -1.7737 -7.5502 13.4857\nCd -0.4379 1.9699 13.5090\nCd 0.8979 11.4899 13.5323\nCd 0.9743 -10.8486 13.7137\nCd 2.3101 -1.3286 13.7370\nCd 3.6459 8.1915 13.7603\nCd 3.7224 -14.1470 13.9417\nCd 5.0582 -4.6270 13.9650\nCd 6.3940 4.8931 13.9883\nCd 7.8062 -7.9254 14.1930\nCd 9.1420 1.5947 14.2163\nCd 10.4778 11.1147 14.2396\nCd 10.5542 -11.2238 14.4210\nCd -13.1293 -0.1346 14.4306\nCd 11.8901 -1.7038 14.4443\nCd -11.7935 9.3854 14.4539\nCd 13.2259 7.8163 14.4676\nCd -10.3812 -3.4330 14.6586\nCd 14.6381 -5.0022 14.6723\nCd -9.0454 6.0870 14.6819\nCd -7.6332 -6.7314 14.8866\nCd -6.2974 2.7886 14.9099\nCd -4.9616 12.3086 14.9333\nCd -4.8852 -10.0298 15.1146\nCd -3.5493 -0.5098 15.1379\nCd -2.2135 9.0102 15.1612\nCd -2.1371 -13.3283 15.3426\nCd -0.8013 -3.8082 15.3659\nCd 0.5345 5.7118 15.3892\nCd 1.9467 -7.1066 15.5939\nCd 3.2825 2.4134 15.6172\nCd 4.6184 11.9334 15.6406\nCd 4.6948 -10.4050 15.8219\nCd 6.0306 -0.8850 15.8452\nCd 7.3664 8.6350 15.8686\nCd 8.7786 -4.1834 16.0732\nCd 10.1144 5.3366 16.0965\nCd 11.5267 -7.4818 16.3012\nCd -12.1569 3.6073 16.3109\nCd 12.8625 2.0382 16.3245\nCd -9.4088 0.3089 16.5389\nCd -8.0730 9.8290 16.5622\nCd -6.6608 -2.9895 16.7669\nCd -5.3250 6.5306 16.7902\nCd -3.9127 -6.2879 16.9949\nCd -2.5769 3.2321 17.0182\nCd -1.2411 12.7522 17.0415\nCd -1.1647 -9.5863 17.2228\nCd 0.1711 -0.0663 17.2462\nCd 1.5069 9.4538 17.2695\nCd 2.9191 -3.3647 17.4742\nCd 4.2550 6.1554 17.4975\nCd 5.6672 -6.6631 17.7022\nCd 7.0030 2.8570 17.7255\nCd 9.7510 -0.4415 17.9535\nCd -8.4364 4.0509 18.4191\nCd -5.6884 0.7525 18.6471\nCd -2.9403 -2.5459 18.8751\nCd -1.6045 6.9741 18.8984\nCd -0.1923 -5.8443 19.1031\nCd 1.1435 3.6757 19.1264\nCd 3.8916 0.3773 19.3544\nCd 6.6396 -2.9211 19.5824\nCd -1.9679 1.1960 20.7554\nCd 0.7801 -2.1024 20.9834\nSe -0.7801 2.1024 -20.9834\nSe 1.9679 -1.1960 -20.7554\nSe -6.6396 2.9211 -19.5824\nSe -3.8916 -0.3773 -19.3544\nSe -1.1435 -3.6757 -19.1264\nSe 0.1923 5.8443 -19.1031\nSe 1.6045 -6.9741 -18.8984\nSe 2.9403 2.5459 -18.8751\nSe 5.6884 -0.7525 -18.6471\nSe 8.4364 -4.0509 -18.4191\nSe -9.7510 0.4415 -17.9535\nSe -7.0030 -2.8570 -17.7255\nSe -5.6672 6.6631 -17.7022\nSe -4.2550 -6.1554 -17.4975\nSe -2.9191 3.3647 -17.4742\nSe -1.5069 -9.4538 -17.2695\nSe -0.1711 0.0663 -17.2462\nSe 1.1647 9.5863 -17.2228\nSe 1.2411 -12.7522 -17.0415\nSe 2.5769 -3.2321 -17.0182\nSe 3.9127 6.2879 -16.9949\nSe 5.3250 -6.5306 -16.7902\nSe 6.6608 2.9895 -16.7669\nSe 8.0730 -9.8290 -16.5622\nSe 9.4088 -0.3089 -16.5389\nSe -12.8625 -2.0382 -16.3245\nSe 12.1569 -3.6073 -16.3109\nSe -11.5267 7.4818 -16.3012\nSe -10.1144 -5.3366 -16.0965\nSe -8.7786 4.1834 -16.0732\nSe -7.3664 -8.6350 -15.8686\nSe -6.0306 0.8850 -15.8452\nSe -4.6948 10.4050 -15.8219\nSe -4.6184 -11.9334 -15.6406\nSe -3.2825 -2.4134 -15.6172\nSe -1.9467 7.1066 -15.5939\nSe -0.5345 -5.7118 -15.3892\nSe 0.8013 3.8082 -15.3659\nSe 2.1371 13.3283 -15.3426\nSe 2.2135 -9.0102 -15.1612\nSe 3.5493 0.5098 -15.1379\nSe 4.8852 10.0298 -15.1146\nSe 4.9616 -12.3086 -14.9333\nSe 6.2974 -2.7886 -14.9099\nSe 7.6332 6.7314 -14.8866\nSe 9.0454 -6.0870 -14.6819\nSe -14.6381 5.0022 -14.6723\nSe 10.3812 3.4330 -14.6586\nSe -13.2259 -7.8163 -14.4676\nSe 11.7935 -9.3854 -14.4539\nSe -11.8901 1.7038 -14.4443\nSe 13.1293 0.1346 -14.4306\nSe -10.5542 11.2238 -14.4210\nSe -10.4778 -11.1147 -14.2396\nSe -9.1420 -1.5947 -14.2163\nSe -7.8062 7.9254 -14.1930\nSe -6.3940 -4.8931 -13.9883\nSe -5.0582 4.6270 -13.9650\nSe -3.7224 14.1470 -13.9417\nSe -3.6459 -8.1915 -13.7603\nSe -2.3101 1.3286 -13.7370\nSe -0.9743 10.8486 -13.7137\nSe -0.8979 -11.4899 -13.5323\nSe 0.4379 -1.9699 -13.5090\nSe 1.7737 7.5502 -13.4857\nSe 1.8501 -14.7883 -13.3043\nSe 3.1859 -5.2683 -13.2810\nSe 4.5218 4.2518 -13.2577\nSe 5.8576 13.7718 -13.2343\nSe 5.9340 -8.5667 -13.0530\nSe 7.2698 0.9534 -13.0297\nSe 8.6056 10.4734 -13.0063\nSe 8.6820 -11.8651 -12.8250\nSe -15.0015 -0.7759 -12.8154\nSe 10.0178 -2.3451 -12.8017\nSe -13.6657 8.7441 -12.7920\nSe 11.3536 7.1750 -12.7784\nSe -12.2535 -4.0743 -12.5874\nSe 12.7659 -5.6435 -12.5737\nSe -10.9176 5.4457 -12.5640\nSe 14.1017 3.8766 -12.5504\nSe -9.5054 -7.3727 -12.3594\nSe -8.1696 2.1473 -12.3360\nSe 16.8497 0.5782 -12.3224\nSe -6.8338 11.6673 -12.3127\nSe -6.7574 -10.6711 -12.1314\nSe -5.4216 -1.1511 -12.1080\nSe -4.0858 8.3689 -12.0847\nSe -4.0093 -13.9696 -11.9034\nSe -2.6735 -4.4495 -11.8801\nSe -1.3377 5.0705 -11.8567\nSe -0.0019 14.5906 -11.8334\nSe -1.2613 -17.2680 -11.6754\nSe 0.0745 -7.7479 -11.6521\nSe 1.4103 1.7721 -11.6287\nSe 2.7461 11.2921 -11.6054\nSe 2.8225 -11.0463 -11.4241\nSe 4.1584 -1.5263 -11.4007\nSe 5.4942 7.9937 -11.3774\nSe 5.5706 -14.3448 -11.1961\nSe 6.9064 -4.8247 -11.1727\nSe -16.7771 6.2645 -11.1631\nSe 8.2422 4.6953 -11.1494\nSe 9.5780 14.2154 -11.1261\nSe -15.3649 -6.5540 -10.9584\nSe 9.6544 -8.1231 -10.9447\nSe -14.0291 2.9660 -10.9351\nSe 10.9902 1.3969 -10.9214\nSe -12.6933 12.4861 -10.9118\nSe 12.3261 10.9169 -10.8981\nSe -12.6169 -9.8524 -10.7304\nSe 12.4025 -11.4215 -10.7168\nSe -11.2810 -0.3324 -10.7071\nSe 13.7383 -1.9015 -10.6934\nSe -9.9452 9.1877 -10.6838\nSe 15.0741 7.6185 -10.6701\nSe -9.8688 -13.1508 -10.5024\nSe -8.5330 -3.6308 -10.4791\nSe 16.4863 -5.1999 -10.4654\nSe -7.1972 5.8893 -10.4558\nSe 17.8221 4.3201 -10.4421\nSe -5.8614 15.4093 -10.4325\nSe -7.1208 -16.4492 -10.2744\nSe -5.7850 -6.9292 -10.2511\nSe -4.4492 2.5909 -10.2278\nSe -3.1133 12.1109 -10.2045\nSe -3.0369 -10.2276 -10.0231\nSe -1.7011 -0.7076 -9.9998\nSe -0.3653 8.8125 -9.9765\nSe 0.9705 18.3325 -9.9532\nSe -0.2889 -13.5260 -9.7951\nSe 1.0469 -4.0060 -9.7718\nSe 2.3827 5.5141 -9.7485\nSe 3.7186 15.0341 -9.7252\nSe 2.4591 -16.8244 -9.5671\nSe 3.7950 -7.3044 -9.5438\nSe 5.1308 2.2157 -9.5205\nSe 6.4666 11.7357 -9.4972\nSe 6.5430 -10.6028 -9.3158\nSe -17.1405 0.4864 -9.3062\nSe 7.8788 -1.0828 -9.2925\nSe -15.8047 10.0064 -9.2828\nSe 9.2146 8.4373 -9.2692\nSe 9.2910 -13.9012 -9.0878\nSe -14.3925 -2.8120 -9.0782\nSe 10.6268 -4.3812 -9.0645\nSe -13.0567 6.7080 -9.0548\nSe 11.9627 5.1389 -9.0412\nSe -11.6444 -6.1104 -8.8502\nSe 13.3749 -7.6796 -8.8365\nSe -10.3086 3.4096 -8.8269\nSe 14.7107 1.8405 -8.8132\nSe -8.9728 12.9296 -8.8035\nSe -8.8964 -9.4088 -8.6222\nSe 16.1229 -10.9780 -8.6085\nSe -7.5606 0.1112 -8.5989\nSe 17.4587 -1.4580 -8.5852\nSe -6.2248 9.6312 -8.5755\nSe -6.1484 -12.7073 -8.3942\nSe -4.8126 -3.1872 -8.3709\nSe -3.4767 6.3328 -8.3475\nSe -2.1409 15.8528 -8.3242\nSe -3.4003 -16.0057 -8.1662\nSe -2.0645 -6.4856 -8.1429\nSe -0.7287 3.0344 -8.1195\nSe 0.6071 12.5544 -8.0962\nSe -0.6523 -19.3041 -7.9382\nSe 0.6835 -9.7840 -7.9149\nSe 2.0193 -0.2640 -7.8916\nSe 3.3552 9.2560 -7.8682\nSe 4.6910 18.7761 -7.8449\nSe 3.4316 -13.0825 -7.6869\nSe 4.7674 -3.5624 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10.2385 13.1113 5.4749\nSe -14.7045 -7.6581 5.6426\nSe 10.3149 -9.2272 5.6562\nSe -13.3686 1.8620 5.6659\nSe 11.6507 0.2928 5.6796\nSe -12.0328 11.3820 5.6892\nSe 12.9865 9.8128 5.7029\nSe -11.9564 -10.9565 5.8706\nSe 13.0629 -12.5256 5.8842\nSe -10.6206 -1.4365 5.8939\nSe 14.3987 -3.0056 5.9076\nSe -9.2848 8.0836 5.9172\nSe 15.7345 6.5144 5.9309\nSe -7.9490 17.6036 5.9405\nSe -9.2084 -14.2549 6.0986\nSe -7.8726 -4.7349 6.1219\nSe 17.1468 -6.3040 6.1356\nSe -6.5367 4.7852 6.1452\nSe 18.4826 3.2160 6.1589\nSe -5.2009 14.3052 6.1685\nSe -6.4603 -17.5533 6.3265\nSe -5.1245 -8.0333 6.3499\nSe -3.7887 1.4868 6.3732\nSe -2.4529 11.0068 6.3965\nSe -2.3765 -11.3317 6.5779\nSe -1.0407 -1.8117 6.6012\nSe 0.2951 7.7084 6.6245\nSe 1.6310 17.2284 6.6478\nSe 0.3715 -14.6301 6.8059\nSe 1.7074 -5.1101 6.8292\nSe 3.0432 4.4100 6.8525\nSe 4.3790 13.9300 6.8758\nSe 3.1196 -17.9285 7.0339\nSe 4.4554 -8.4085 7.0572\nSe -19.2281 2.6807 7.0668\nSe 5.7912 1.1116 7.0805\nSe 7.1270 10.6316 7.1038\nSe 7.2034 -11.7069 7.2852\nSe -16.4801 -0.6177 7.2948\nSe 8.5392 -2.1869 7.3085\nSe -15.1443 8.9023 7.3181\nSe 9.8751 7.3332 7.3318\nSe 9.9515 -15.0053 7.5132\nSe -13.7320 -3.9161 7.5228\nSe 11.2873 -5.4853 7.5365\nSe -12.3962 5.6039 7.5461\nSe 12.6231 4.0348 7.5598\nSe -11.0604 15.1239 7.5695\nSe 13.9589 13.5548 7.5831\nSe -10.9840 -7.2145 7.7508\nSe 14.0353 -8.7837 7.7645\nSe -9.6482 2.3055 7.7741\nSe 15.3711 0.7364 7.7878\nSe -8.3124 11.8255 7.7975\nSe 16.7069 10.2564 7.8111\nSe -8.2360 -10.5129 7.9788\nSe -6.9001 -0.9929 8.0021\nSe 18.1192 -2.5620 8.0158\nSe -5.5643 8.5271 8.0255\nSe -4.2285 18.0472 8.0488\nSe -5.4879 -13.8114 8.2068\nSe -4.1521 -4.2913 8.2301\nSe -2.8163 5.2287 8.2534\nSe -1.4805 14.7487 8.2768\nSe -2.7399 -17.1098 8.4348\nSe -1.4041 -7.5897 8.4581\nSe -0.0683 1.9303 8.4814\nSe 1.2676 11.4503 8.5048\nSe 1.3440 -10.8881 8.6861\nSe 2.6798 -1.3681 8.7094\nSe 4.0156 8.1519 8.7328\nSe 5.3514 17.6720 8.7561\nSe 4.0920 -14.1866 8.9141\nSe 5.4278 -4.6665 8.9374\nSe -18.2557 6.4227 8.9471\nSe 6.7636 4.8535 8.9608\nSe 8.0994 14.3736 8.9841\nSe 6.8400 -17.4850 9.1421\nSe -16.8435 -6.3958 9.1518\nSe 8.1758 -7.9649 9.1654\nSe -15.5077 3.1242 9.1751\nSe 9.5117 1.5551 9.1887\nSe -14.1718 12.6443 9.1984\nSe 10.8475 11.0751 9.2121\nSe -14.0954 -9.6942 9.3797\nSe 10.9239 -11.2633 9.3934\nSe -12.7596 -0.1742 9.4031\nSe 12.2597 -1.7433 9.4167\nSe -11.4238 9.3459 9.4264\nSe 13.5955 7.7767 9.4401\nSe -11.3474 -12.9926 9.6077\nSe -10.0116 -3.4726 9.6311\nSe 15.0077 -5.0417 9.6447\nSe -8.6758 6.0475 9.6544\nSe 16.3435 4.4783 9.6681\nSe -7.3400 15.5675 9.6777\nSe -8.5994 -16.2910 9.8357\nSe -7.2635 -6.7710 9.8591\nSe -5.9277 2.7491 9.8824\nSe -4.5919 12.2691 9.9057\nSe -4.5155 -10.0694 10.0871\nSe -3.1797 -0.5494 10.1104\nSe -1.8439 8.9707 10.1337\nSe -0.5081 18.4907 10.1570\nSe -1.7675 -13.3678 10.3150\nSe -0.4317 -3.8478 10.3384\nSe 0.9042 5.6723 10.3617\nSe 2.2400 15.1923 10.3850\nSe 0.9806 -16.6662 10.5430\nSe 2.3164 -7.1462 10.5664\nSe 3.6522 2.3739 10.5897\nSe 4.9880 11.8939 10.6130\nSe 5.0644 -10.4446 10.7944\nSe 6.4002 -0.9246 10.8177\nSe 7.7360 8.5955 10.8410\nSe 7.8124 -13.7430 11.0224\nSe -15.8711 -2.6538 11.0320\nSe 9.1483 -4.2230 11.0457\nSe -14.5352 6.8662 11.0553\nSe 10.4841 5.2971 11.0690\nSe -13.1230 -5.9522 11.2600\nSe 11.8963 -7.5214 11.2737\nSe -11.7872 3.5678 11.2833\nSe 13.2321 1.9987 11.2970\nSe -10.4514 13.0878 11.3066\nSe -10.3750 -9.2506 11.4880\nSe -9.0392 0.2694 11.5113\nSe 15.9802 -1.2998 11.5250\nSe -7.7034 9.7894 11.5346\nSe -7.6269 -12.5491 11.7160\nSe -6.2911 -3.0290 11.7393\nSe -4.9553 6.4910 11.7626\nSe -3.6195 16.0110 11.7860\nSe -4.8789 -15.8475 11.9440\nSe -3.5431 -6.3274 11.9673\nSe -2.2073 3.1926 11.9906\nSe -0.8715 12.7126 12.0140\nSe -0.7951 -9.6258 12.1953\nSe 0.5408 -0.1058 12.2186\nSe 1.8766 9.4142 12.2419\nSe 1.9530 -12.9243 12.4233\nSe 3.2888 -3.4042 12.4466\nSe 4.6246 6.1158 12.4699\nSe 5.9604 15.6358 12.4933\nSe 4.7010 -16.2227 12.6513\nSe 6.0368 -6.7026 12.6746\nSe 7.3726 2.8174 12.6979\nSe 8.7085 12.3374 12.7213\nSe 8.7849 -10.0010 12.9026\nSe -14.8986 1.0881 12.9123\nSe 10.1207 -0.4810 12.9259\nSe 11.4565 9.0390 12.9493\nSe -12.1506 -2.2103 13.1403\nSe 12.8687 -3.7794 13.1539\nSe -10.8148 7.3098 13.1636\nSe 14.2045 5.7406 13.1773\nSe -9.4026 -5.5087 13.3682\nSe -8.0668 4.0113 13.3916\nSe -6.7309 13.5314 13.4149\nSe -6.6545 -8.8071 13.5962\nSe -5.3187 0.7129 13.6196\nSe -3.9829 10.2330 13.6429\nSe -3.9065 -12.1055 13.8242\nSe -2.5707 -2.5855 13.8476\nSe -1.2349 6.9346 13.8709\nSe -1.1585 -15.4039 14.0522\nSe 0.1774 -5.8839 14.0756\nSe 1.5132 3.6361 14.0989\nSe 2.8490 13.1562 14.1222\nSe 2.9254 -9.1823 14.3035\nSe 4.2612 0.3377 14.3269\nSe 5.5970 9.8578 14.3502\nSe 5.6734 -12.4807 14.5315\nSe 7.0092 -2.9607 14.5549\nSe 8.3451 6.5594 14.5782\nSe 9.7573 -6.2591 14.7829\nSe -13.9262 4.8301 14.7925\nSe 11.0931 3.2609 14.8062\nSe -12.5140 -7.9884 14.9972\nSe -11.1782 1.5317 15.0205\nSe 13.8411 -0.0375 15.0342\nSe -9.8424 11.0517 15.0438\nSe -9.7660 -11.2868 15.2252\nSe -8.4302 -1.7667 15.2485\nSe -7.0943 7.7533 15.2718\nSe -5.6821 -5.0651 15.4765\nSe -4.3463 4.4549 15.4998\nSe -3.0105 13.9749 15.5231\nSe -2.9341 -8.3636 15.7045\nSe -1.5983 1.1565 15.7278\nSe -0.2625 10.6765 15.7511\nSe -0.1860 -11.6620 15.9325\nSe 1.1498 -2.1419 15.9558\nSe 2.4856 7.3781 15.9791\nSe 3.8978 -5.4403 16.1838\nSe 5.2336 4.0797 16.2071\nSe 6.6458 -8.7387 16.4118\nSe 7.9817 0.7813 16.4351\nSe 10.7297 -2.5171 16.6631\nSe -11.5416 -4.2464 16.8774\nSe -10.2058 5.2736 16.9008\nSe -8.7936 -7.5448 17.1054\nSe -7.4577 1.9752 17.1288\nSe -6.0455 -10.8432 17.3334\nSe -4.7097 -1.3232 17.3567\nSe -3.3739 8.1969 17.3801\nSe -1.9617 -4.6216 17.5847\nSe -0.6259 4.8984 17.6081\nSe 0.7864 -7.9200 17.8127\nSe 2.1222 1.6000 17.8361\nSe 3.4580 11.1201 17.8594\nSe 4.8702 -1.6984 18.0641\nSe 6.2060 7.8217 18.0874\nSe 7.6183 -4.9968 18.2920\nSe 8.9541 4.5232 18.3154\nSe -7.8211 -3.8028 18.9857\nSe -6.4853 5.7172 19.0090\nSe -5.0731 -7.1013 19.2137\nSe -3.7373 2.4188 19.2370\nSe -0.9893 -0.8796 19.4650\nSe 0.3466 8.6404 19.4883\nSe 1.7588 -4.1780 19.6930\nSe 3.0946 5.3420 19.7163\nSe 5.8426 2.0436 19.9443\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "CdSe-QD-D.xyz"
    },
    {
     "label": "B",
     "value": "CdSe-QD-C.xyz"
    },
    {
     "label": "C",
     "value": "CdSe-QD-A.xyz"
    },
    {
     "label": "D",
     "value": "CdSe-QD-B.xyz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-CRYSTAL-CU",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The four tables list every atom of one conventional cubic cell of four crystals (files named by crystal). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: NaCl: Cl = 17, Na = 11; MgO: Mg = 12, O = 8; CsCl: Cl = 17, Cs = 55; diamond: C = 6. For X-rays of wavelength 1.54056 Å, you must choose the crystal whose lowest-angle reflection with non-zero intensity lies closest to 2θ = 37.00° (for example, to calibrate a detector at that angle). Which crystal should you choose?",
   "scope": "运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "NaCl-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "MgO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "periclase (MgO, COD 1000053); cubic a = 4.21700 angstrom; 8 atoms; element x y z (fractional)\nMg 0.00000000 0.00000000 0.00000000\nMg 0.00000000 0.50000000 0.50000000\nMg 0.50000000 0.00000000 0.50000000\nMg 0.50000000 0.50000000 0.00000000\nO 0.00000000 0.00000000 0.50000000\nO 0.00000000 0.50000000 0.00000000\nO 0.50000000 0.00000000 0.00000000\nO 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "CsCl-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "caesium chloride (CsCl, COD 9008789); cubic a = 4.12300 angstrom; 2 atoms; element x y z (fractional)\nCs 0.00000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "diamond-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "diamond (C, COD 9008564); cubic a = 3.56679 angstrom; 8 atoms; element x y z (fractional)\nC 0.00000000 0.00000000 0.00000000\nC 0.00000000 0.50000000 0.50000000\nC 0.25000000 0.25000000 0.25000000\nC 0.25000000 0.75000000 0.75000000\nC 0.50000000 0.00000000 0.50000000\nC 0.50000000 0.50000000 0.00000000\nC 0.75000000 0.25000000 0.75000000\nC 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "diamond (diamond-cell.txt)"
    },
    {
     "label": "B",
     "value": "NaCl (NaCl-cell.txt)"
    },
    {
     "label": "C",
     "value": "MgO (MgO-cell.txt)"
    },
    {
     "label": "D",
     "value": "CsCl (CsCl-cell.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-CRYSTAL-MO",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The four tables list every atom of one conventional cubic cell of four crystals (files named by crystal). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: NaCl: Cl = 17, Na = 11; MgO: Mg = 12, O = 8; CsCl: Cl = 17, Cs = 55; diamond: C = 6. For X-rays of wavelength 0.70930 Å, you must choose the crystal whose lowest-angle reflection with non-zero intensity lies closest to 2θ = 12.50° (for example, to calibrate a detector at that angle). Which crystal should you choose?",
   "scope": "运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "NaCl-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "MgO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "periclase (MgO, COD 1000053); cubic a = 4.21700 angstrom; 8 atoms; element x y z (fractional)\nMg 0.00000000 0.00000000 0.00000000\nMg 0.00000000 0.50000000 0.50000000\nMg 0.50000000 0.00000000 0.50000000\nMg 0.50000000 0.50000000 0.00000000\nO 0.00000000 0.00000000 0.50000000\nO 0.00000000 0.50000000 0.00000000\nO 0.50000000 0.00000000 0.00000000\nO 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "CsCl-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "caesium chloride (CsCl, COD 9008789); cubic a = 4.12300 angstrom; 2 atoms; element x y z (fractional)\nCs 0.00000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    },
    {
     "name": "diamond-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "diamond (C, COD 9008564); cubic a = 3.56679 angstrom; 8 atoms; element x y z (fractional)\nC 0.00000000 0.00000000 0.00000000\nC 0.00000000 0.50000000 0.50000000\nC 0.25000000 0.25000000 0.25000000\nC 0.25000000 0.75000000 0.75000000\nC 0.50000000 0.00000000 0.50000000\nC 0.50000000 0.50000000 0.00000000\nC 0.75000000 0.25000000 0.75000000\nC 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "MgO (MgO-cell.txt)"
    },
    {
     "label": "B",
     "value": "CsCl (CsCl-cell.txt)"
    },
    {
     "label": "C",
     "value": "diamond (diamond-cell.txt)"
    },
    {
     "label": "D",
     "value": "NaCl (NaCl-cell.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-ANODE-NACL",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: Cl = 17, Na = 11. You must choose the X-ray source line that places this lowest-angle reflection with non-zero intensity closest to 2θ = 32.00° (for example, to keep it clear of the beam stop while resolving it well). Which line should you choose?",
   "scope": "运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "FA-XD-ANODE-NACL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Co Kα1 (λ = 1.78897 Å)"
    },
    {
     "label": "B",
     "value": "Cr Kα1 (λ = 2.28970 Å)"
    },
    {
     "label": "C",
     "value": "Cu Kα1 (λ = 1.54056 Å)"
    },
    {
     "label": "D",
     "value": "Mo Kα1 (λ = 0.70930 Å)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-ANODE-MOF5",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: C = 6, H = 1, O = 8, Zn = 30. You must choose the X-ray source line that places this lowest-angle reflection with non-zero intensity closest to 2θ = 7.00° (for example, to keep it clear of the beam stop while resolving it well). Which line should you choose?",
   "scope": "424 原子整胞；运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "FA-XD-ANODE-MOF5-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "MOF-5 (Zn4O(BDC)3, COD 1516287); cubic a = 25.82470 angstrom; 424 atoms; element x y z (fractional)\nZn 0.20647400 0.20647400 0.29352600\nZn 0.20647400 0.20647400 0.70647400\nZn 0.20647400 0.29352600 0.20647400\nZn 0.20647400 0.29352600 0.79352600\nZn 0.20647400 0.70647400 0.20647400\nZn 0.20647400 0.70647400 0.79352600\nZn 0.20647400 0.79352600 0.29352600\nZn 0.20647400 0.79352600 0.70647400\nZn 0.29352600 0.20647400 0.20647400\nZn 0.29352600 0.20647400 0.79352600\nZn 0.29352600 0.29352600 0.29352600\nZn 0.29352600 0.29352600 0.70647400\nZn 0.29352600 0.70647400 0.29352600\nZn 0.29352600 0.70647400 0.70647400\nZn 0.29352600 0.79352600 0.20647400\nZn 0.29352600 0.79352600 0.79352600\nZn 0.70647400 0.20647400 0.20647400\nZn 0.70647400 0.20647400 0.79352600\nZn 0.70647400 0.29352600 0.29352600\nZn 0.70647400 0.29352600 0.70647400\nZn 0.70647400 0.70647400 0.29352600\nZn 0.70647400 0.70647400 0.70647400\nZn 0.70647400 0.79352600 0.20647400\nZn 0.70647400 0.79352600 0.79352600\nZn 0.79352600 0.20647400 0.29352600\nZn 0.79352600 0.20647400 0.70647400\nZn 0.79352600 0.29352600 0.20647400\nZn 0.79352600 0.29352600 0.79352600\nZn 0.79352600 0.70647400 0.20647400\nZn 0.79352600 0.70647400 0.79352600\nZn 0.79352600 0.79352600 0.29352600\nZn 0.79352600 0.79352600 0.70647400\nO 0.25000000 0.25000000 0.25000000\nO 0.25000000 0.25000000 0.75000000\nO 0.25000000 0.75000000 0.25000000\nO 0.25000000 0.75000000 0.75000000\nO 0.75000000 0.25000000 0.25000000\nO 0.75000000 0.25000000 0.75000000\nO 0.75000000 0.75000000 0.25000000\nO 0.75000000 0.75000000 0.75000000\nO 0.13385000 0.21951000 0.28049000\nO 0.13385000 0.21951000 0.71951000\nO 0.13385000 0.28049000 0.21951000\nO 0.13385000 0.28049000 0.78049000\nO 0.13385000 0.71951000 0.21951000\nO 0.13385000 0.71951000 0.78049000\nO 0.13385000 0.78049000 0.28049000\nO 0.13385000 0.78049000 0.71951000\nO 0.21951000 0.13385000 0.28049000\nO 0.21951000 0.13385000 0.71951000\nO 0.21951000 0.21951000 0.36615000\nO 0.21951000 0.21951000 0.63385000\nO 0.21951000 0.28049000 0.13385000\nO 0.21951000 0.28049000 0.86615000\nO 0.21951000 0.36615000 0.21951000\nO 0.21951000 0.36615000 0.78049000\nO 0.21951000 0.63385000 0.21951000\nO 0.21951000 0.63385000 0.78049000\nO 0.21951000 0.71951000 0.13385000\nO 0.21951000 0.71951000 0.86615000\nO 0.21951000 0.78049000 0.36615000\nO 0.21951000 0.78049000 0.63385000\nO 0.21951000 0.86615000 0.28049000\nO 0.21951000 0.86615000 0.71951000\nO 0.28049000 0.13385000 0.21951000\nO 0.28049000 0.13385000 0.78049000\nO 0.28049000 0.21951000 0.13385000\nO 0.28049000 0.21951000 0.86615000\nO 0.28049000 0.28049000 0.36615000\nO 0.28049000 0.28049000 0.63385000\nO 0.28049000 0.36615000 0.28049000\nO 0.28049000 0.36615000 0.71951000\nO 0.28049000 0.63385000 0.28049000\nO 0.28049000 0.63385000 0.71951000\nO 0.28049000 0.71951000 0.36615000\nO 0.28049000 0.71951000 0.63385000\nO 0.28049000 0.78049000 0.13385000\nO 0.28049000 0.78049000 0.86615000\nO 0.28049000 0.86615000 0.21951000\nO 0.28049000 0.86615000 0.78049000\nO 0.36615000 0.21951000 0.21951000\nO 0.36615000 0.21951000 0.78049000\nO 0.36615000 0.28049000 0.28049000\nO 0.36615000 0.28049000 0.71951000\nO 0.36615000 0.71951000 0.28049000\nO 0.36615000 0.71951000 0.71951000\nO 0.36615000 0.78049000 0.21951000\nO 0.36615000 0.78049000 0.78049000\nO 0.63385000 0.21951000 0.21951000\nO 0.63385000 0.21951000 0.78049000\nO 0.63385000 0.28049000 0.28049000\nO 0.63385000 0.28049000 0.71951000\nO 0.63385000 0.71951000 0.28049000\nO 0.63385000 0.71951000 0.71951000\nO 0.63385000 0.78049000 0.21951000\nO 0.63385000 0.78049000 0.78049000\nO 0.71951000 0.13385000 0.21951000\nO 0.71951000 0.13385000 0.78049000\nO 0.71951000 0.21951000 0.13385000\nO 0.71951000 0.21951000 0.86615000\nO 0.71951000 0.28049000 0.36615000\nO 0.71951000 0.28049000 0.63385000\nO 0.71951000 0.36615000 0.28049000\nO 0.71951000 0.36615000 0.71951000\nO 0.71951000 0.63385000 0.28049000\nO 0.71951000 0.63385000 0.71951000\nO 0.71951000 0.71951000 0.36615000\nO 0.71951000 0.71951000 0.63385000\nO 0.71951000 0.78049000 0.13385000\nO 0.71951000 0.78049000 0.86615000\nO 0.71951000 0.86615000 0.21951000\nO 0.71951000 0.86615000 0.78049000\nO 0.78049000 0.13385000 0.28049000\nO 0.78049000 0.13385000 0.71951000\nO 0.78049000 0.21951000 0.36615000\nO 0.78049000 0.21951000 0.63385000\nO 0.78049000 0.28049000 0.13385000\nO 0.78049000 0.28049000 0.86615000\nO 0.78049000 0.36615000 0.21951000\nO 0.78049000 0.36615000 0.78049000\nO 0.78049000 0.63385000 0.21951000\nO 0.78049000 0.63385000 0.78049000\nO 0.78049000 0.71951000 0.13385000\nO 0.78049000 0.71951000 0.86615000\nO 0.78049000 0.78049000 0.36615000\nO 0.78049000 0.78049000 0.63385000\nO 0.78049000 0.86615000 0.28049000\nO 0.78049000 0.86615000 0.71951000\nO 0.86615000 0.21951000 0.28049000\nO 0.86615000 0.21951000 0.71951000\nO 0.86615000 0.28049000 0.21951000\nO 0.86615000 0.28049000 0.78049000\nO 0.86615000 0.71951000 0.21951000\nO 0.86615000 0.71951000 0.78049000\nO 0.86615000 0.78049000 0.28049000\nO 0.86615000 0.78049000 0.71951000\nC 0.11148000 0.25000000 0.25000000\nC 0.11148000 0.25000000 0.75000000\nC 0.11148000 0.75000000 0.25000000\nC 0.11148000 0.75000000 0.75000000\nC 0.25000000 0.11148000 0.25000000\nC 0.25000000 0.11148000 0.75000000\nC 0.25000000 0.25000000 0.11148000\nC 0.25000000 0.25000000 0.38852000\nC 0.25000000 0.25000000 0.61148000\nC 0.25000000 0.25000000 0.88852000\nC 0.25000000 0.38852000 0.25000000\nC 0.25000000 0.38852000 0.75000000\nC 0.25000000 0.61148000 0.25000000\nC 0.25000000 0.61148000 0.75000000\nC 0.25000000 0.75000000 0.11148000\nC 0.25000000 0.75000000 0.38852000\nC 0.25000000 0.75000000 0.61148000\nC 0.25000000 0.75000000 0.88852000\nC 0.25000000 0.88852000 0.25000000\nC 0.25000000 0.88852000 0.75000000\nC 0.38852000 0.25000000 0.25000000\nC 0.38852000 0.25000000 0.75000000\nC 0.38852000 0.75000000 0.25000000\nC 0.38852000 0.75000000 0.75000000\nC 0.61148000 0.25000000 0.25000000\nC 0.61148000 0.25000000 0.75000000\nC 0.61148000 0.75000000 0.25000000\nC 0.61148000 0.75000000 0.75000000\nC 0.75000000 0.11148000 0.25000000\nC 0.75000000 0.11148000 0.75000000\nC 0.75000000 0.25000000 0.11148000\nC 0.75000000 0.25000000 0.38852000\nC 0.75000000 0.25000000 0.61148000\nC 0.75000000 0.25000000 0.88852000\nC 0.75000000 0.38852000 0.25000000\nC 0.75000000 0.38852000 0.75000000\nC 0.75000000 0.61148000 0.25000000\nC 0.75000000 0.61148000 0.75000000\nC 0.75000000 0.75000000 0.11148000\nC 0.75000000 0.75000000 0.38852000\nC 0.75000000 0.75000000 0.61148000\nC 0.75000000 0.75000000 0.88852000\nC 0.75000000 0.88852000 0.25000000\nC 0.75000000 0.88852000 0.75000000\nC 0.88852000 0.25000000 0.25000000\nC 0.88852000 0.25000000 0.75000000\nC 0.88852000 0.75000000 0.25000000\nC 0.88852000 0.75000000 0.75000000\nC 0.05365000 0.25000000 0.25000000\nC 0.05365000 0.25000000 0.75000000\nC 0.05365000 0.75000000 0.25000000\nC 0.05365000 0.75000000 0.75000000\nC 0.25000000 0.05365000 0.25000000\nC 0.25000000 0.05365000 0.75000000\nC 0.25000000 0.25000000 0.05365000\nC 0.25000000 0.25000000 0.44635000\nC 0.25000000 0.25000000 0.55365000\nC 0.25000000 0.25000000 0.94635000\nC 0.25000000 0.44635000 0.25000000\nC 0.25000000 0.44635000 0.75000000\nC 0.25000000 0.55365000 0.25000000\nC 0.25000000 0.55365000 0.75000000\nC 0.25000000 0.75000000 0.05365000\nC 0.25000000 0.75000000 0.44635000\nC 0.25000000 0.75000000 0.55365000\nC 0.25000000 0.75000000 0.94635000\nC 0.25000000 0.94635000 0.25000000\nC 0.25000000 0.94635000 0.75000000\nC 0.44635000 0.25000000 0.25000000\nC 0.44635000 0.25000000 0.75000000\nC 0.44635000 0.75000000 0.25000000\nC 0.44635000 0.75000000 0.75000000\nC 0.55365000 0.25000000 0.25000000\nC 0.55365000 0.25000000 0.75000000\nC 0.55365000 0.75000000 0.25000000\nC 0.55365000 0.75000000 0.75000000\nC 0.75000000 0.05365000 0.25000000\nC 0.75000000 0.05365000 0.75000000\nC 0.75000000 0.25000000 0.05365000\nC 0.75000000 0.25000000 0.44635000\nC 0.75000000 0.25000000 0.55365000\nC 0.75000000 0.25000000 0.94635000\nC 0.75000000 0.44635000 0.25000000\nC 0.75000000 0.44635000 0.75000000\nC 0.75000000 0.55365000 0.25000000\nC 0.75000000 0.55365000 0.75000000\nC 0.75000000 0.75000000 0.05365000\nC 0.75000000 0.75000000 0.44635000\nC 0.75000000 0.75000000 0.55365000\nC 0.75000000 0.75000000 0.94635000\nC 0.75000000 0.94635000 0.25000000\nC 0.75000000 0.94635000 0.75000000\nC 0.94635000 0.25000000 0.25000000\nC 0.94635000 0.25000000 0.75000000\nC 0.94635000 0.75000000 0.25000000\nC 0.94635000 0.75000000 0.75000000\nC 0.02653000 0.21787000 0.28213000\nC 0.02653000 0.21787000 0.71787000\nC 0.02653000 0.28213000 0.21787000\nC 0.02653000 0.28213000 0.78213000\nC 0.02653000 0.71787000 0.21787000\nC 0.02653000 0.71787000 0.78213000\nC 0.02653000 0.78213000 0.28213000\nC 0.02653000 0.78213000 0.71787000\nC 0.21787000 0.02653000 0.28213000\nC 0.21787000 0.02653000 0.71787000\nC 0.21787000 0.21787000 0.47347000\nC 0.21787000 0.21787000 0.52653000\nC 0.21787000 0.28213000 0.02653000\nC 0.21787000 0.28213000 0.97347000\nC 0.21787000 0.47347000 0.21787000\nC 0.21787000 0.47347000 0.78213000\nC 0.21787000 0.52653000 0.21787000\nC 0.21787000 0.52653000 0.78213000\nC 0.21787000 0.71787000 0.02653000\nC 0.21787000 0.71787000 0.97347000\nC 0.21787000 0.78213000 0.47347000\nC 0.21787000 0.78213000 0.52653000\nC 0.21787000 0.97347000 0.28213000\nC 0.21787000 0.97347000 0.71787000\nC 0.28213000 0.02653000 0.21787000\nC 0.28213000 0.02653000 0.78213000\nC 0.28213000 0.21787000 0.02653000\nC 0.28213000 0.21787000 0.97347000\nC 0.28213000 0.28213000 0.47347000\nC 0.28213000 0.28213000 0.52653000\nC 0.28213000 0.47347000 0.28213000\nC 0.28213000 0.47347000 0.71787000\nC 0.28213000 0.52653000 0.28213000\nC 0.28213000 0.52653000 0.71787000\nC 0.28213000 0.71787000 0.47347000\nC 0.28213000 0.71787000 0.52653000\nC 0.28213000 0.78213000 0.02653000\nC 0.28213000 0.78213000 0.97347000\nC 0.28213000 0.97347000 0.21787000\nC 0.28213000 0.97347000 0.78213000\nC 0.47347000 0.21787000 0.21787000\nC 0.47347000 0.21787000 0.78213000\nC 0.47347000 0.28213000 0.28213000\nC 0.47347000 0.28213000 0.71787000\nC 0.47347000 0.71787000 0.28213000\nC 0.47347000 0.71787000 0.71787000\nC 0.47347000 0.78213000 0.21787000\nC 0.47347000 0.78213000 0.78213000\nC 0.52653000 0.21787000 0.21787000\nC 0.52653000 0.21787000 0.78213000\nC 0.52653000 0.28213000 0.28213000\nC 0.52653000 0.28213000 0.71787000\nC 0.52653000 0.71787000 0.28213000\nC 0.52653000 0.71787000 0.71787000\nC 0.52653000 0.78213000 0.21787000\nC 0.52653000 0.78213000 0.78213000\nC 0.71787000 0.02653000 0.21787000\nC 0.71787000 0.02653000 0.78213000\nC 0.71787000 0.21787000 0.02653000\nC 0.71787000 0.21787000 0.97347000\nC 0.71787000 0.28213000 0.47347000\nC 0.71787000 0.28213000 0.52653000\nC 0.71787000 0.47347000 0.28213000\nC 0.71787000 0.47347000 0.71787000\nC 0.71787000 0.52653000 0.28213000\nC 0.71787000 0.52653000 0.71787000\nC 0.71787000 0.71787000 0.47347000\nC 0.71787000 0.71787000 0.52653000\nC 0.71787000 0.78213000 0.02653000\nC 0.71787000 0.78213000 0.97347000\nC 0.71787000 0.97347000 0.21787000\nC 0.71787000 0.97347000 0.78213000\nC 0.78213000 0.02653000 0.28213000\nC 0.78213000 0.02653000 0.71787000\nC 0.78213000 0.21787000 0.47347000\nC 0.78213000 0.21787000 0.52653000\nC 0.78213000 0.28213000 0.02653000\nC 0.78213000 0.28213000 0.97347000\nC 0.78213000 0.47347000 0.21787000\nC 0.78213000 0.47347000 0.78213000\nC 0.78213000 0.52653000 0.21787000\nC 0.78213000 0.52653000 0.78213000\nC 0.78213000 0.71787000 0.02653000\nC 0.78213000 0.71787000 0.97347000\nC 0.78213000 0.78213000 0.47347000\nC 0.78213000 0.78213000 0.52653000\nC 0.78213000 0.97347000 0.28213000\nC 0.78213000 0.97347000 0.71787000\nC 0.97347000 0.21787000 0.28213000\nC 0.97347000 0.21787000 0.71787000\nC 0.97347000 0.28213000 0.21787000\nC 0.97347000 0.28213000 0.78213000\nC 0.97347000 0.71787000 0.21787000\nC 0.97347000 0.71787000 0.78213000\nC 0.97347000 0.78213000 0.28213000\nC 0.97347000 0.78213000 0.71787000\nH 0.04430000 0.19570000 0.30430000\nH 0.04430000 0.19570000 0.69570000\nH 0.04430000 0.30430000 0.19570000\nH 0.04430000 0.30430000 0.80430000\nH 0.04430000 0.69570000 0.19570000\nH 0.04430000 0.69570000 0.80430000\nH 0.04430000 0.80430000 0.30430000\nH 0.04430000 0.80430000 0.69570000\nH 0.19570000 0.04430000 0.30430000\nH 0.19570000 0.04430000 0.69570000\nH 0.19570000 0.19570000 0.45570000\nH 0.19570000 0.19570000 0.54430000\nH 0.19570000 0.30430000 0.04430000\nH 0.19570000 0.30430000 0.95570000\nH 0.19570000 0.45570000 0.19570000\nH 0.19570000 0.45570000 0.80430000\nH 0.19570000 0.54430000 0.19570000\nH 0.19570000 0.54430000 0.80430000\nH 0.19570000 0.69570000 0.04430000\nH 0.19570000 0.69570000 0.95570000\nH 0.19570000 0.80430000 0.45570000\nH 0.19570000 0.80430000 0.54430000\nH 0.19570000 0.95570000 0.30430000\nH 0.19570000 0.95570000 0.69570000\nH 0.30430000 0.04430000 0.19570000\nH 0.30430000 0.04430000 0.80430000\nH 0.30430000 0.19570000 0.04430000\nH 0.30430000 0.19570000 0.95570000\nH 0.30430000 0.30430000 0.45570000\nH 0.30430000 0.30430000 0.54430000\nH 0.30430000 0.45570000 0.30430000\nH 0.30430000 0.45570000 0.69570000\nH 0.30430000 0.54430000 0.30430000\nH 0.30430000 0.54430000 0.69570000\nH 0.30430000 0.69570000 0.45570000\nH 0.30430000 0.69570000 0.54430000\nH 0.30430000 0.80430000 0.04430000\nH 0.30430000 0.80430000 0.95570000\nH 0.30430000 0.95570000 0.19570000\nH 0.30430000 0.95570000 0.80430000\nH 0.45570000 0.19570000 0.19570000\nH 0.45570000 0.19570000 0.80430000\nH 0.45570000 0.30430000 0.30430000\nH 0.45570000 0.30430000 0.69570000\nH 0.45570000 0.69570000 0.30430000\nH 0.45570000 0.69570000 0.69570000\nH 0.45570000 0.80430000 0.19570000\nH 0.45570000 0.80430000 0.80430000\nH 0.54430000 0.19570000 0.19570000\nH 0.54430000 0.19570000 0.80430000\nH 0.54430000 0.30430000 0.30430000\nH 0.54430000 0.30430000 0.69570000\nH 0.54430000 0.69570000 0.30430000\nH 0.54430000 0.69570000 0.69570000\nH 0.54430000 0.80430000 0.19570000\nH 0.54430000 0.80430000 0.80430000\nH 0.69570000 0.04430000 0.19570000\nH 0.69570000 0.04430000 0.80430000\nH 0.69570000 0.19570000 0.04430000\nH 0.69570000 0.19570000 0.95570000\nH 0.69570000 0.30430000 0.45570000\nH 0.69570000 0.30430000 0.54430000\nH 0.69570000 0.45570000 0.30430000\nH 0.69570000 0.45570000 0.69570000\nH 0.69570000 0.54430000 0.30430000\nH 0.69570000 0.54430000 0.69570000\nH 0.69570000 0.69570000 0.45570000\nH 0.69570000 0.69570000 0.54430000\nH 0.69570000 0.80430000 0.04430000\nH 0.69570000 0.80430000 0.95570000\nH 0.69570000 0.95570000 0.19570000\nH 0.69570000 0.95570000 0.80430000\nH 0.80430000 0.04430000 0.30430000\nH 0.80430000 0.04430000 0.69570000\nH 0.80430000 0.19570000 0.45570000\nH 0.80430000 0.19570000 0.54430000\nH 0.80430000 0.30430000 0.04430000\nH 0.80430000 0.30430000 0.95570000\nH 0.80430000 0.45570000 0.19570000\nH 0.80430000 0.45570000 0.80430000\nH 0.80430000 0.54430000 0.19570000\nH 0.80430000 0.54430000 0.80430000\nH 0.80430000 0.69570000 0.04430000\nH 0.80430000 0.69570000 0.95570000\nH 0.80430000 0.80430000 0.45570000\nH 0.80430000 0.80430000 0.54430000\nH 0.80430000 0.95570000 0.30430000\nH 0.80430000 0.95570000 0.69570000\nH 0.95570000 0.19570000 0.30430000\nH 0.95570000 0.19570000 0.69570000\nH 0.95570000 0.30430000 0.19570000\nH 0.95570000 0.30430000 0.80430000\nH 0.95570000 0.69570000 0.19570000\nH 0.95570000 0.69570000 0.80430000\nH 0.95570000 0.80430000 0.30430000\nH 0.95570000 0.80430000 0.69570000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Cr Kα1 (λ = 2.28970 Å)"
    },
    {
     "label": "B",
     "value": "Co Kα1 (λ = 1.78897 Å)"
    },
    {
     "label": "C",
     "value": "Cu Kα1 (λ = 1.54056 Å)"
    },
    {
     "label": "D",
     "value": "Mo Kα1 (λ = 0.70930 Å)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-ANODE-SALEM2",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The table lists every atom of one conventional cubic cell of Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: C = 6, H = 1, N = 7, Zn = 30. You must choose the X-ray source line that places this lowest-angle reflection with non-zero intensity closest to 2θ = 11.00° (for example, to keep it clear of the beam stop while resolving it well). Which line should you choose?",
   "scope": "204 原子整胞；运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "FA-XD-ANODE-SALEM2-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites); cubic a = 16.83030 angstrom; 204 atoms; element x y z (fractional)\nZn 0.00000000 0.25000000 0.50000000\nZn 0.00000000 0.50000000 0.25000000\nZn 0.00000000 0.50000000 0.75000000\nZn 0.00000000 0.75000000 0.50000000\nZn 0.25000000 0.00000000 0.50000000\nZn 0.25000000 0.50000000 0.00000000\nZn 0.50000000 0.00000000 0.25000000\nZn 0.50000000 0.00000000 0.75000000\nZn 0.50000000 0.25000000 0.00000000\nZn 0.50000000 0.75000000 0.00000000\nZn 0.75000000 0.00000000 0.50000000\nZn 0.75000000 0.50000000 0.00000000\nN 0.03668000 0.31705000 0.41076000\nN 0.03668000 0.41076000 0.31705000\nN 0.03668000 0.58924000 0.68295000\nN 0.03668000 0.68295000 0.58924000\nN 0.08924000 0.18295000 0.53668000\nN 0.08924000 0.46332000 0.81705000\nN 0.08924000 0.53668000 0.18295000\nN 0.08924000 0.81705000 0.46332000\nN 0.18295000 0.08924000 0.53668000\nN 0.18295000 0.46332000 0.91076000\nN 0.18295000 0.53668000 0.08924000\nN 0.18295000 0.91076000 0.46332000\nN 0.31705000 0.03668000 0.41076000\nN 0.31705000 0.41076000 0.03668000\nN 0.31705000 0.58924000 0.96332000\nN 0.31705000 0.96332000 0.58924000\nN 0.41076000 0.03668000 0.31705000\nN 0.41076000 0.31705000 0.03668000\nN 0.41076000 0.68295000 0.96332000\nN 0.41076000 0.96332000 0.68295000\nN 0.46332000 0.08924000 0.81705000\nN 0.46332000 0.18295000 0.91076000\nN 0.46332000 0.81705000 0.08924000\nN 0.46332000 0.91076000 0.18295000\nN 0.53668000 0.08924000 0.18295000\nN 0.53668000 0.18295000 0.08924000\nN 0.53668000 0.81705000 0.91076000\nN 0.53668000 0.91076000 0.81705000\nN 0.58924000 0.03668000 0.68295000\nN 0.58924000 0.31705000 0.96332000\nN 0.58924000 0.68295000 0.03668000\nN 0.58924000 0.96332000 0.31705000\nN 0.68295000 0.03668000 0.58924000\nN 0.68295000 0.41076000 0.96332000\nN 0.68295000 0.58924000 0.03668000\nN 0.68295000 0.96332000 0.41076000\nN 0.81705000 0.08924000 0.46332000\nN 0.81705000 0.46332000 0.08924000\nN 0.81705000 0.53668000 0.91076000\nN 0.81705000 0.91076000 0.53668000\nN 0.91076000 0.18295000 0.46332000\nN 0.91076000 0.46332000 0.18295000\nN 0.91076000 0.53668000 0.81705000\nN 0.91076000 0.81705000 0.53668000\nN 0.96332000 0.31705000 0.58924000\nN 0.96332000 0.41076000 0.68295000\nN 0.96332000 0.58924000 0.31705000\nN 0.96332000 0.68295000 0.41076000\nC 0.00390000 0.37937000 0.37937000\nC 0.00390000 0.62063000 0.62063000\nC 0.12063000 0.12063000 0.50390000\nC 0.12063000 0.49610000 0.87937000\nC 0.12063000 0.50390000 0.12063000\nC 0.12063000 0.87937000 0.49610000\nC 0.37937000 0.00390000 0.37937000\nC 0.37937000 0.37937000 0.00390000\nC 0.37937000 0.62063000 0.99610000\nC 0.37937000 0.99610000 0.62063000\nC 0.49610000 0.12063000 0.87937000\nC 0.49610000 0.87937000 0.12063000\nC 0.50390000 0.12063000 0.12063000\nC 0.50390000 0.87937000 0.87937000\nC 0.62063000 0.00390000 0.62063000\nC 0.62063000 0.37937000 0.99610000\nC 0.62063000 0.62063000 0.00390000\nC 0.62063000 0.99610000 0.37937000\nC 0.87937000 0.12063000 0.49610000\nC 0.87937000 0.49610000 0.12063000\nC 0.87937000 0.50390000 0.87937000\nC 0.87937000 0.87937000 0.50390000\nC 0.99610000 0.37937000 0.62063000\nC 0.99610000 0.62063000 0.37937000\nH 0.04310000 0.40150000 0.59850000\nH 0.04310000 0.59850000 0.40150000\nH 0.09850000 0.09850000 0.45690000\nH 0.09850000 0.45690000 0.09850000\nH 0.09850000 0.54310000 0.90150000\nH 0.09850000 0.90150000 0.54310000\nH 0.40150000 0.04310000 0.59850000\nH 0.40150000 0.40150000 0.95690000\nH 0.40150000 0.59850000 0.04310000\nH 0.40150000 0.95690000 0.40150000\nH 0.45690000 0.09850000 0.09850000\nH 0.45690000 0.90150000 0.90150000\nH 0.54310000 0.09850000 0.90150000\nH 0.54310000 0.90150000 0.09850000\nH 0.59850000 0.04310000 0.40150000\nH 0.59850000 0.40150000 0.04310000\nH 0.59850000 0.59850000 0.95690000\nH 0.59850000 0.95690000 0.59850000\nH 0.90150000 0.09850000 0.54310000\nH 0.90150000 0.45690000 0.90150000\nH 0.90150000 0.54310000 0.09850000\nH 0.90150000 0.90150000 0.45690000\nH 0.95690000 0.40150000 0.40150000\nH 0.95690000 0.59850000 0.59850000\nC 0.10830000 0.31750000 0.37370000\nC 0.10830000 0.37370000 0.31750000\nC 0.10830000 0.62630000 0.68250000\nC 0.10830000 0.68250000 0.62630000\nC 0.12630000 0.18250000 0.60830000\nC 0.12630000 0.39170000 0.81750000\nC 0.12630000 0.60830000 0.18250000\nC 0.12630000 0.81750000 0.39170000\nC 0.18250000 0.12630000 0.60830000\nC 0.18250000 0.39170000 0.87370000\nC 0.18250000 0.60830000 0.12630000\nC 0.18250000 0.87370000 0.39170000\nC 0.31750000 0.10830000 0.37370000\nC 0.31750000 0.37370000 0.10830000\nC 0.31750000 0.62630000 0.89170000\nC 0.31750000 0.89170000 0.62630000\nC 0.37370000 0.10830000 0.31750000\nC 0.37370000 0.31750000 0.10830000\nC 0.37370000 0.68250000 0.89170000\nC 0.37370000 0.89170000 0.68250000\nC 0.39170000 0.12630000 0.81750000\nC 0.39170000 0.18250000 0.87370000\nC 0.39170000 0.81750000 0.12630000\nC 0.39170000 0.87370000 0.18250000\nC 0.60830000 0.12630000 0.18250000\nC 0.60830000 0.18250000 0.12630000\nC 0.60830000 0.81750000 0.87370000\nC 0.60830000 0.87370000 0.81750000\nC 0.62630000 0.10830000 0.68250000\nC 0.62630000 0.31750000 0.89170000\nC 0.62630000 0.68250000 0.10830000\nC 0.62630000 0.89170000 0.31750000\nC 0.68250000 0.10830000 0.62630000\nC 0.68250000 0.37370000 0.89170000\nC 0.68250000 0.62630000 0.10830000\nC 0.68250000 0.89170000 0.37370000\nC 0.81750000 0.12630000 0.39170000\nC 0.81750000 0.39170000 0.12630000\nC 0.81750000 0.60830000 0.87370000\nC 0.81750000 0.87370000 0.60830000\nC 0.87370000 0.18250000 0.39170000\nC 0.87370000 0.39170000 0.18250000\nC 0.87370000 0.60830000 0.81750000\nC 0.87370000 0.81750000 0.60830000\nC 0.89170000 0.31750000 0.62630000\nC 0.89170000 0.37370000 0.68250000\nC 0.89170000 0.62630000 0.31750000\nC 0.89170000 0.68250000 0.37370000\nH 0.11430000 0.21670000 0.65160000\nH 0.11430000 0.34840000 0.78330000\nH 0.11430000 0.65160000 0.21670000\nH 0.11430000 0.78330000 0.34840000\nH 0.15160000 0.28330000 0.38570000\nH 0.15160000 0.38570000 0.28330000\nH 0.15160000 0.61430000 0.71670000\nH 0.15160000 0.71670000 0.61430000\nH 0.21670000 0.11430000 0.65160000\nH 0.21670000 0.34840000 0.88570000\nH 0.21670000 0.65160000 0.11430000\nH 0.21670000 0.88570000 0.34840000\nH 0.28330000 0.15160000 0.38570000\nH 0.28330000 0.38570000 0.15160000\nH 0.28330000 0.61430000 0.84840000\nH 0.28330000 0.84840000 0.61430000\nH 0.34840000 0.11430000 0.78330000\nH 0.34840000 0.21670000 0.88570000\nH 0.34840000 0.78330000 0.11430000\nH 0.34840000 0.88570000 0.21670000\nH 0.38570000 0.15160000 0.28330000\nH 0.38570000 0.28330000 0.15160000\nH 0.38570000 0.71670000 0.84840000\nH 0.38570000 0.84840000 0.71670000\nH 0.61430000 0.15160000 0.71670000\nH 0.61430000 0.28330000 0.84840000\nH 0.61430000 0.71670000 0.15160000\nH 0.61430000 0.84840000 0.28330000\nH 0.65160000 0.11430000 0.21670000\nH 0.65160000 0.21670000 0.11430000\nH 0.65160000 0.78330000 0.88570000\nH 0.65160000 0.88570000 0.78330000\nH 0.71670000 0.15160000 0.61430000\nH 0.71670000 0.38570000 0.84840000\nH 0.71670000 0.61430000 0.15160000\nH 0.71670000 0.84840000 0.38570000\nH 0.78330000 0.11430000 0.34840000\nH 0.78330000 0.34840000 0.11430000\nH 0.78330000 0.65160000 0.88570000\nH 0.78330000 0.88570000 0.65160000\nH 0.84840000 0.28330000 0.61430000\nH 0.84840000 0.38570000 0.71670000\nH 0.84840000 0.61430000 0.28330000\nH 0.84840000 0.71670000 0.38570000\nH 0.88570000 0.21670000 0.34840000\nH 0.88570000 0.34840000 0.21670000\nH 0.88570000 0.65160000 0.78330000\nH 0.88570000 0.78330000 0.65160000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Co Kα1 (λ = 1.78897 Å)"
    },
    {
     "label": "B",
     "value": "Cu Kα1 (λ = 1.54056 Å)"
    },
    {
     "label": "C",
     "value": "Cr Kα1 (λ = 2.28970 Å)"
    },
    {
     "label": "D",
     "value": "Mo Kα1 (λ = 0.70930 Å)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-XD-WAVE-MOF5",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: C = 6, H = 1, O = 8, Zn = 30. You must choose the X-ray wavelength that places this lowest-angle reflection with non-zero intensity exactly at 2θ = 5.00°. What wavelength, in Å, should you use?",
   "scope": "424 原子整胞；运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "inputs": [
    {
     "name": "FA-XD-WAVE-MOF5-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "MOF-5 (Zn4O(BDC)3, COD 1516287); cubic a = 25.82470 angstrom; 424 atoms; element x y z (fractional)\nZn 0.20647400 0.20647400 0.29352600\nZn 0.20647400 0.20647400 0.70647400\nZn 0.20647400 0.29352600 0.20647400\nZn 0.20647400 0.29352600 0.79352600\nZn 0.20647400 0.70647400 0.20647400\nZn 0.20647400 0.70647400 0.79352600\nZn 0.20647400 0.79352600 0.29352600\nZn 0.20647400 0.79352600 0.70647400\nZn 0.29352600 0.20647400 0.20647400\nZn 0.29352600 0.20647400 0.79352600\nZn 0.29352600 0.29352600 0.29352600\nZn 0.29352600 0.29352600 0.70647400\nZn 0.29352600 0.70647400 0.29352600\nZn 0.29352600 0.70647400 0.70647400\nZn 0.29352600 0.79352600 0.20647400\nZn 0.29352600 0.79352600 0.79352600\nZn 0.70647400 0.20647400 0.20647400\nZn 0.70647400 0.20647400 0.79352600\nZn 0.70647400 0.29352600 0.29352600\nZn 0.70647400 0.29352600 0.70647400\nZn 0.70647400 0.70647400 0.29352600\nZn 0.70647400 0.70647400 0.70647400\nZn 0.70647400 0.79352600 0.20647400\nZn 0.70647400 0.79352600 0.79352600\nZn 0.79352600 0.20647400 0.29352600\nZn 0.79352600 0.20647400 0.70647400\nZn 0.79352600 0.29352600 0.20647400\nZn 0.79352600 0.29352600 0.79352600\nZn 0.79352600 0.70647400 0.20647400\nZn 0.79352600 0.70647400 0.79352600\nZn 0.79352600 0.79352600 0.29352600\nZn 0.79352600 0.79352600 0.70647400\nO 0.25000000 0.25000000 0.25000000\nO 0.25000000 0.25000000 0.75000000\nO 0.25000000 0.75000000 0.25000000\nO 0.25000000 0.75000000 0.75000000\nO 0.75000000 0.25000000 0.25000000\nO 0.75000000 0.25000000 0.75000000\nO 0.75000000 0.75000000 0.25000000\nO 0.75000000 0.75000000 0.75000000\nO 0.13385000 0.21951000 0.28049000\nO 0.13385000 0.21951000 0.71951000\nO 0.13385000 0.28049000 0.21951000\nO 0.13385000 0.28049000 0.78049000\nO 0.13385000 0.71951000 0.21951000\nO 0.13385000 0.71951000 0.78049000\nO 0.13385000 0.78049000 0.28049000\nO 0.13385000 0.78049000 0.71951000\nO 0.21951000 0.13385000 0.28049000\nO 0.21951000 0.13385000 0.71951000\nO 0.21951000 0.21951000 0.36615000\nO 0.21951000 0.21951000 0.63385000\nO 0.21951000 0.28049000 0.13385000\nO 0.21951000 0.28049000 0.86615000\nO 0.21951000 0.36615000 0.21951000\nO 0.21951000 0.36615000 0.78049000\nO 0.21951000 0.63385000 0.21951000\nO 0.21951000 0.63385000 0.78049000\nO 0.21951000 0.71951000 0.13385000\nO 0.21951000 0.71951000 0.86615000\nO 0.21951000 0.78049000 0.36615000\nO 0.21951000 0.78049000 0.63385000\nO 0.21951000 0.86615000 0.28049000\nO 0.21951000 0.86615000 0.71951000\nO 0.28049000 0.13385000 0.21951000\nO 0.28049000 0.13385000 0.78049000\nO 0.28049000 0.21951000 0.13385000\nO 0.28049000 0.21951000 0.86615000\nO 0.28049000 0.28049000 0.36615000\nO 0.28049000 0.28049000 0.63385000\nO 0.28049000 0.36615000 0.28049000\nO 0.28049000 0.36615000 0.71951000\nO 0.28049000 0.63385000 0.28049000\nO 0.28049000 0.63385000 0.71951000\nO 0.28049000 0.71951000 0.36615000\nO 0.28049000 0.71951000 0.63385000\nO 0.28049000 0.78049000 0.13385000\nO 0.28049000 0.78049000 0.86615000\nO 0.28049000 0.86615000 0.21951000\nO 0.28049000 0.86615000 0.78049000\nO 0.36615000 0.21951000 0.21951000\nO 0.36615000 0.21951000 0.78049000\nO 0.36615000 0.28049000 0.28049000\nO 0.36615000 0.28049000 0.71951000\nO 0.36615000 0.71951000 0.28049000\nO 0.36615000 0.71951000 0.71951000\nO 0.36615000 0.78049000 0.21951000\nO 0.36615000 0.78049000 0.78049000\nO 0.63385000 0.21951000 0.21951000\nO 0.63385000 0.21951000 0.78049000\nO 0.63385000 0.28049000 0.28049000\nO 0.63385000 0.28049000 0.71951000\nO 0.63385000 0.71951000 0.28049000\nO 0.63385000 0.71951000 0.71951000\nO 0.63385000 0.78049000 0.21951000\nO 0.63385000 0.78049000 0.78049000\nO 0.71951000 0.13385000 0.21951000\nO 0.71951000 0.13385000 0.78049000\nO 0.71951000 0.21951000 0.13385000\nO 0.71951000 0.21951000 0.86615000\nO 0.71951000 0.28049000 0.36615000\nO 0.71951000 0.28049000 0.63385000\nO 0.71951000 0.36615000 0.28049000\nO 0.71951000 0.36615000 0.71951000\nO 0.71951000 0.63385000 0.28049000\nO 0.71951000 0.63385000 0.71951000\nO 0.71951000 0.71951000 0.36615000\nO 0.71951000 0.71951000 0.63385000\nO 0.71951000 0.78049000 0.13385000\nO 0.71951000 0.78049000 0.86615000\nO 0.71951000 0.86615000 0.21951000\nO 0.71951000 0.86615000 0.78049000\nO 0.78049000 0.13385000 0.28049000\nO 0.78049000 0.13385000 0.71951000\nO 0.78049000 0.21951000 0.36615000\nO 0.78049000 0.21951000 0.63385000\nO 0.78049000 0.28049000 0.13385000\nO 0.78049000 0.28049000 0.86615000\nO 0.78049000 0.36615000 0.21951000\nO 0.78049000 0.36615000 0.78049000\nO 0.78049000 0.63385000 0.21951000\nO 0.78049000 0.63385000 0.78049000\nO 0.78049000 0.71951000 0.13385000\nO 0.78049000 0.71951000 0.86615000\nO 0.78049000 0.78049000 0.36615000\nO 0.78049000 0.78049000 0.63385000\nO 0.78049000 0.86615000 0.28049000\nO 0.78049000 0.86615000 0.71951000\nO 0.86615000 0.21951000 0.28049000\nO 0.86615000 0.21951000 0.71951000\nO 0.86615000 0.28049000 0.21951000\nO 0.86615000 0.28049000 0.78049000\nO 0.86615000 0.71951000 0.21951000\nO 0.86615000 0.71951000 0.78049000\nO 0.86615000 0.78049000 0.28049000\nO 0.86615000 0.78049000 0.71951000\nC 0.11148000 0.25000000 0.25000000\nC 0.11148000 0.25000000 0.75000000\nC 0.11148000 0.75000000 0.25000000\nC 0.11148000 0.75000000 0.75000000\nC 0.25000000 0.11148000 0.25000000\nC 0.25000000 0.11148000 0.75000000\nC 0.25000000 0.25000000 0.11148000\nC 0.25000000 0.25000000 0.38852000\nC 0.25000000 0.25000000 0.61148000\nC 0.25000000 0.25000000 0.88852000\nC 0.25000000 0.38852000 0.25000000\nC 0.25000000 0.38852000 0.75000000\nC 0.25000000 0.61148000 0.25000000\nC 0.25000000 0.61148000 0.75000000\nC 0.25000000 0.75000000 0.11148000\nC 0.25000000 0.75000000 0.38852000\nC 0.25000000 0.75000000 0.61148000\nC 0.25000000 0.75000000 0.88852000\nC 0.25000000 0.88852000 0.25000000\nC 0.25000000 0.88852000 0.75000000\nC 0.38852000 0.25000000 0.25000000\nC 0.38852000 0.25000000 0.75000000\nC 0.38852000 0.75000000 0.25000000\nC 0.38852000 0.75000000 0.75000000\nC 0.61148000 0.25000000 0.25000000\nC 0.61148000 0.25000000 0.75000000\nC 0.61148000 0.75000000 0.25000000\nC 0.61148000 0.75000000 0.75000000\nC 0.75000000 0.11148000 0.25000000\nC 0.75000000 0.11148000 0.75000000\nC 0.75000000 0.25000000 0.11148000\nC 0.75000000 0.25000000 0.38852000\nC 0.75000000 0.25000000 0.61148000\nC 0.75000000 0.25000000 0.88852000\nC 0.75000000 0.38852000 0.25000000\nC 0.75000000 0.38852000 0.75000000\nC 0.75000000 0.61148000 0.25000000\nC 0.75000000 0.61148000 0.75000000\nC 0.75000000 0.75000000 0.11148000\nC 0.75000000 0.75000000 0.38852000\nC 0.75000000 0.75000000 0.61148000\nC 0.75000000 0.75000000 0.88852000\nC 0.75000000 0.88852000 0.25000000\nC 0.75000000 0.88852000 0.75000000\nC 0.88852000 0.25000000 0.25000000\nC 0.88852000 0.25000000 0.75000000\nC 0.88852000 0.75000000 0.25000000\nC 0.88852000 0.75000000 0.75000000\nC 0.05365000 0.25000000 0.25000000\nC 0.05365000 0.25000000 0.75000000\nC 0.05365000 0.75000000 0.25000000\nC 0.05365000 0.75000000 0.75000000\nC 0.25000000 0.05365000 0.25000000\nC 0.25000000 0.05365000 0.75000000\nC 0.25000000 0.25000000 0.05365000\nC 0.25000000 0.25000000 0.44635000\nC 0.25000000 0.25000000 0.55365000\nC 0.25000000 0.25000000 0.94635000\nC 0.25000000 0.44635000 0.25000000\nC 0.25000000 0.44635000 0.75000000\nC 0.25000000 0.55365000 0.25000000\nC 0.25000000 0.55365000 0.75000000\nC 0.25000000 0.75000000 0.05365000\nC 0.25000000 0.75000000 0.44635000\nC 0.25000000 0.75000000 0.55365000\nC 0.25000000 0.75000000 0.94635000\nC 0.25000000 0.94635000 0.25000000\nC 0.25000000 0.94635000 0.75000000\nC 0.44635000 0.25000000 0.25000000\nC 0.44635000 0.25000000 0.75000000\nC 0.44635000 0.75000000 0.25000000\nC 0.44635000 0.75000000 0.75000000\nC 0.55365000 0.25000000 0.25000000\nC 0.55365000 0.25000000 0.75000000\nC 0.55365000 0.75000000 0.25000000\nC 0.55365000 0.75000000 0.75000000\nC 0.75000000 0.05365000 0.25000000\nC 0.75000000 0.05365000 0.75000000\nC 0.75000000 0.25000000 0.05365000\nC 0.75000000 0.25000000 0.44635000\nC 0.75000000 0.25000000 0.55365000\nC 0.75000000 0.25000000 0.94635000\nC 0.75000000 0.44635000 0.25000000\nC 0.75000000 0.44635000 0.75000000\nC 0.75000000 0.55365000 0.25000000\nC 0.75000000 0.55365000 0.75000000\nC 0.75000000 0.75000000 0.05365000\nC 0.75000000 0.75000000 0.44635000\nC 0.75000000 0.75000000 0.55365000\nC 0.75000000 0.75000000 0.94635000\nC 0.75000000 0.94635000 0.25000000\nC 0.75000000 0.94635000 0.75000000\nC 0.94635000 0.25000000 0.25000000\nC 0.94635000 0.25000000 0.75000000\nC 0.94635000 0.75000000 0.25000000\nC 0.94635000 0.75000000 0.75000000\nC 0.02653000 0.21787000 0.28213000\nC 0.02653000 0.21787000 0.71787000\nC 0.02653000 0.28213000 0.21787000\nC 0.02653000 0.28213000 0.78213000\nC 0.02653000 0.71787000 0.21787000\nC 0.02653000 0.71787000 0.78213000\nC 0.02653000 0.78213000 0.28213000\nC 0.02653000 0.78213000 0.71787000\nC 0.21787000 0.02653000 0.28213000\nC 0.21787000 0.02653000 0.71787000\nC 0.21787000 0.21787000 0.47347000\nC 0.21787000 0.21787000 0.52653000\nC 0.21787000 0.28213000 0.02653000\nC 0.21787000 0.28213000 0.97347000\nC 0.21787000 0.47347000 0.21787000\nC 0.21787000 0.47347000 0.78213000\nC 0.21787000 0.52653000 0.21787000\nC 0.21787000 0.52653000 0.78213000\nC 0.21787000 0.71787000 0.02653000\nC 0.21787000 0.71787000 0.97347000\nC 0.21787000 0.78213000 0.47347000\nC 0.21787000 0.78213000 0.52653000\nC 0.21787000 0.97347000 0.28213000\nC 0.21787000 0.97347000 0.71787000\nC 0.28213000 0.02653000 0.21787000\nC 0.28213000 0.02653000 0.78213000\nC 0.28213000 0.21787000 0.02653000\nC 0.28213000 0.21787000 0.97347000\nC 0.28213000 0.28213000 0.47347000\nC 0.28213000 0.28213000 0.52653000\nC 0.28213000 0.47347000 0.28213000\nC 0.28213000 0.47347000 0.71787000\nC 0.28213000 0.52653000 0.28213000\nC 0.28213000 0.52653000 0.71787000\nC 0.28213000 0.71787000 0.47347000\nC 0.28213000 0.71787000 0.52653000\nC 0.28213000 0.78213000 0.02653000\nC 0.28213000 0.78213000 0.97347000\nC 0.28213000 0.97347000 0.21787000\nC 0.28213000 0.97347000 0.78213000\nC 0.47347000 0.21787000 0.21787000\nC 0.47347000 0.21787000 0.78213000\nC 0.47347000 0.28213000 0.28213000\nC 0.47347000 0.28213000 0.71787000\nC 0.47347000 0.71787000 0.28213000\nC 0.47347000 0.71787000 0.71787000\nC 0.47347000 0.78213000 0.21787000\nC 0.47347000 0.78213000 0.78213000\nC 0.52653000 0.21787000 0.21787000\nC 0.52653000 0.21787000 0.78213000\nC 0.52653000 0.28213000 0.28213000\nC 0.52653000 0.28213000 0.71787000\nC 0.52653000 0.71787000 0.28213000\nC 0.52653000 0.71787000 0.71787000\nC 0.52653000 0.78213000 0.21787000\nC 0.52653000 0.78213000 0.78213000\nC 0.71787000 0.02653000 0.21787000\nC 0.71787000 0.02653000 0.78213000\nC 0.71787000 0.21787000 0.02653000\nC 0.71787000 0.21787000 0.97347000\nC 0.71787000 0.28213000 0.47347000\nC 0.71787000 0.28213000 0.52653000\nC 0.71787000 0.47347000 0.28213000\nC 0.71787000 0.47347000 0.71787000\nC 0.71787000 0.52653000 0.28213000\nC 0.71787000 0.52653000 0.71787000\nC 0.71787000 0.71787000 0.47347000\nC 0.71787000 0.71787000 0.52653000\nC 0.71787000 0.78213000 0.02653000\nC 0.71787000 0.78213000 0.97347000\nC 0.71787000 0.97347000 0.21787000\nC 0.71787000 0.97347000 0.78213000\nC 0.78213000 0.02653000 0.28213000\nC 0.78213000 0.02653000 0.71787000\nC 0.78213000 0.21787000 0.47347000\nC 0.78213000 0.21787000 0.52653000\nC 0.78213000 0.28213000 0.02653000\nC 0.78213000 0.28213000 0.97347000\nC 0.78213000 0.47347000 0.21787000\nC 0.78213000 0.47347000 0.78213000\nC 0.78213000 0.52653000 0.21787000\nC 0.78213000 0.52653000 0.78213000\nC 0.78213000 0.71787000 0.02653000\nC 0.78213000 0.71787000 0.97347000\nC 0.78213000 0.78213000 0.47347000\nC 0.78213000 0.78213000 0.52653000\nC 0.78213000 0.97347000 0.28213000\nC 0.78213000 0.97347000 0.71787000\nC 0.97347000 0.21787000 0.28213000\nC 0.97347000 0.21787000 0.71787000\nC 0.97347000 0.28213000 0.21787000\nC 0.97347000 0.28213000 0.78213000\nC 0.97347000 0.71787000 0.21787000\nC 0.97347000 0.71787000 0.78213000\nC 0.97347000 0.78213000 0.28213000\nC 0.97347000 0.78213000 0.71787000\nH 0.04430000 0.19570000 0.30430000\nH 0.04430000 0.19570000 0.69570000\nH 0.04430000 0.30430000 0.19570000\nH 0.04430000 0.30430000 0.80430000\nH 0.04430000 0.69570000 0.19570000\nH 0.04430000 0.69570000 0.80430000\nH 0.04430000 0.80430000 0.30430000\nH 0.04430000 0.80430000 0.69570000\nH 0.19570000 0.04430000 0.30430000\nH 0.19570000 0.04430000 0.69570000\nH 0.19570000 0.19570000 0.45570000\nH 0.19570000 0.19570000 0.54430000\nH 0.19570000 0.30430000 0.04430000\nH 0.19570000 0.30430000 0.95570000\nH 0.19570000 0.45570000 0.19570000\nH 0.19570000 0.45570000 0.80430000\nH 0.19570000 0.54430000 0.19570000\nH 0.19570000 0.54430000 0.80430000\nH 0.19570000 0.69570000 0.04430000\nH 0.19570000 0.69570000 0.95570000\nH 0.19570000 0.80430000 0.45570000\nH 0.19570000 0.80430000 0.54430000\nH 0.19570000 0.95570000 0.30430000\nH 0.19570000 0.95570000 0.69570000\nH 0.30430000 0.04430000 0.19570000\nH 0.30430000 0.04430000 0.80430000\nH 0.30430000 0.19570000 0.04430000\nH 0.30430000 0.19570000 0.95570000\nH 0.30430000 0.30430000 0.45570000\nH 0.30430000 0.30430000 0.54430000\nH 0.30430000 0.45570000 0.30430000\nH 0.30430000 0.45570000 0.69570000\nH 0.30430000 0.54430000 0.30430000\nH 0.30430000 0.54430000 0.69570000\nH 0.30430000 0.69570000 0.45570000\nH 0.30430000 0.69570000 0.54430000\nH 0.30430000 0.80430000 0.04430000\nH 0.30430000 0.80430000 0.95570000\nH 0.30430000 0.95570000 0.19570000\nH 0.30430000 0.95570000 0.80430000\nH 0.45570000 0.19570000 0.19570000\nH 0.45570000 0.19570000 0.80430000\nH 0.45570000 0.30430000 0.30430000\nH 0.45570000 0.30430000 0.69570000\nH 0.45570000 0.69570000 0.30430000\nH 0.45570000 0.69570000 0.69570000\nH 0.45570000 0.80430000 0.19570000\nH 0.45570000 0.80430000 0.80430000\nH 0.54430000 0.19570000 0.19570000\nH 0.54430000 0.19570000 0.80430000\nH 0.54430000 0.30430000 0.30430000\nH 0.54430000 0.30430000 0.69570000\nH 0.54430000 0.69570000 0.30430000\nH 0.54430000 0.69570000 0.69570000\nH 0.54430000 0.80430000 0.19570000\nH 0.54430000 0.80430000 0.80430000\nH 0.69570000 0.04430000 0.19570000\nH 0.69570000 0.04430000 0.80430000\nH 0.69570000 0.19570000 0.04430000\nH 0.69570000 0.19570000 0.95570000\nH 0.69570000 0.30430000 0.45570000\nH 0.69570000 0.30430000 0.54430000\nH 0.69570000 0.45570000 0.30430000\nH 0.69570000 0.45570000 0.69570000\nH 0.69570000 0.54430000 0.30430000\nH 0.69570000 0.54430000 0.69570000\nH 0.69570000 0.69570000 0.45570000\nH 0.69570000 0.69570000 0.54430000\nH 0.69570000 0.80430000 0.04430000\nH 0.69570000 0.80430000 0.95570000\nH 0.69570000 0.95570000 0.19570000\nH 0.69570000 0.95570000 0.80430000\nH 0.80430000 0.04430000 0.30430000\nH 0.80430000 0.04430000 0.69570000\nH 0.80430000 0.19570000 0.45570000\nH 0.80430000 0.19570000 0.54430000\nH 0.80430000 0.30430000 0.04430000\nH 0.80430000 0.30430000 0.95570000\nH 0.80430000 0.45570000 0.19570000\nH 0.80430000 0.45570000 0.80430000\nH 0.80430000 0.54430000 0.19570000\nH 0.80430000 0.54430000 0.80430000\nH 0.80430000 0.69570000 0.04430000\nH 0.80430000 0.69570000 0.95570000\nH 0.80430000 0.80430000 0.45570000\nH 0.80430000 0.80430000 0.54430000\nH 0.80430000 0.95570000 0.30430000\nH 0.80430000 0.95570000 0.69570000\nH 0.95570000 0.19570000 0.30430000\nH 0.95570000 0.19570000 0.69570000\nH 0.95570000 0.30430000 0.19570000\nH 0.95570000 0.30430000 0.80430000\nH 0.95570000 0.69570000 0.19570000\nH 0.95570000 0.69570000 0.80430000\nH 0.95570000 0.80430000 0.30430000\nH 0.95570000 0.80430000 0.69570000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.6504",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.1265",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "1.3007",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "2.5990",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DS-1UBQ-A",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 7 residues involved, from chain A of PDB entry 1UBQ (ubiquitin, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "1UBQ-A-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   MET A   1      27.340  24.430   2.614  1.00  9.67           N\nATOM      2  CA  MET A   1      26.266  25.413   2.842  1.00 10.38           C\nATOM      3  C   MET A   1      26.913  26.639   3.531  1.00  9.62           C\nATOM      4  O   MET A   1      27.886  26.463   4.263  1.00  9.62           O\nATOM      5  CB  MET A   1      25.112  24.880   3.649  1.00 13.77           C\nATOM      6  CG  MET A   1      25.353  24.860   5.134  1.00 16.29           C\nATOM      7  SD  MET A   1      23.930  23.959   5.904  1.00 17.17           S\nATOM      8  CE  MET A   1      24.447  23.984   7.620  1.00 16.11           C\nATOM      9  N   GLN A   2      26.335  27.770   3.258  1.00  9.27           N\nATOM     10  CA  GLN A   2      26.850  29.021   3.898  1.00  9.07           C\nATOM     11  C   GLN A   2      26.100  29.253   5.202  1.00  8.72           C\nATOM     12  O   GLN A   2      24.865  29.024   5.330  1.00  8.22           O\nATOM     13  CB  GLN A   2      26.733  30.148   2.905  1.00 14.46           C\nATOM     14  CG  GLN A   2      26.882  31.546   3.409  1.00 17.01           C\nATOM     15  CD  GLN A   2      26.786  32.562   2.270  1.00 20.10           C\nATOM     16  OE1 GLN A   2      27.783  33.160   1.870  1.00 21.89           O\nATOM     17  NE2 GLN A   2      25.562  32.733   1.806  1.00 19.49           N\nATOM     26  N   PHE A   4      26.214  32.097   8.771  1.00  4.55           N\nATOM     27  CA  PHE A   4      26.772  33.436   9.197  1.00  4.68           C\nATOM     28  C   PHE A   4      27.151  33.362  10.650  1.00  5.30           C\nATOM     29  O   PHE A   4      26.350  32.778  11.395  1.00  5.58           O\nATOM     30  CB  PHE A   4      25.695  34.498   8.946  1.00  4.83           C\nATOM     31  CG  PHE A   4      25.288  34.609   7.499  1.00  7.97           C\nATOM     32  CD1 PHE A   4      24.147  33.966   7.038  1.00  6.69           C\nATOM     33  CD2 PHE A   4      26.136  35.346   6.640  1.00  8.34           C\nATOM     34  CE1 PHE A   4      23.812  34.031   5.677  1.00  9.10           C\nATOM     35  CE2 PHE A   4      25.810  35.392   5.267  1.00 10.61           C\nATOM     36  CZ  PHE A   4      24.620  34.778   4.853  1.00  8.90           C\nATOM    103  N   THR A  14      31.244  34.986   7.197  1.00  9.39           N\nATOM    104  CA  THR A  14      30.505  33.884   6.512  1.00  9.63           C\nATOM    105  C   THR A  14      31.409  32.680   6.446  1.00 11.20           C\nATOM    106  O   THR A  14      32.619  32.812   6.125  1.00 11.63           O\nATOM    107  CB  THR A  14      30.091  34.393   5.078  1.00 10.38           C\nATOM    108  OG1 THR A  14      31.440  34.513   4.487  1.00 16.30           O\nATOM    109  CG2 THR A  14      29.420  35.756   5.119  1.00 11.66           C\nATOM    110  N   LEU A  15      30.884  31.485   6.666  1.00  8.29           N\nATOM    111  CA  LEU A  15      31.677  30.275   6.639  1.00  9.03           C\nATOM    112  C   LEU A  15      31.022  29.288   5.665  1.00  8.59           C\nATOM    113  O   LEU A  15      29.809  29.395   5.545  1.00  7.79           O\nATOM    114  CB  LEU A  15      31.562  29.686   8.045  1.00 11.08           C\nATOM    115  CG  LEU A  15      32.631  29.444   9.060  1.00 15.79           C\nATOM    116  CD1 LEU A  15      33.814  30.390   9.030  1.00 15.88           C\nATOM    117  CD2 LEU A  15      31.945  29.449  10.436  1.00 15.27           C\nATOM    118  N   GLU A  16      31.834  28.412   5.125  1.00 11.04           N\nATOM    119  CA  GLU A  16      31.220  27.341   4.275  1.00 11.50           C\nATOM    120  C   GLU A  16      31.440  26.079   5.080  1.00 10.13           C\nATOM    121  O   GLU A  16      32.576  25.802   5.461  1.00  9.83           O\nATOM    122  CB  GLU A  16      31.827  27.262   2.894  1.00 17.22           C\nATOM    123  CG  GLU A  16      31.363  28.410   1.962  1.00 23.33           C\nATOM    124  CD  GLU A  16      31.671  28.291   0.498  1.00 26.99           C\nATOM    125  OE1 GLU A  16      30.869  28.621  -0.366  1.00 28.86           O\nATOM    126  OE2 GLU A  16      32.835  27.861   0.278  1.00 28.90           O\nATOM    516  N   THR A  66      22.241  31.873  11.241  1.00  4.48           N\nATOM    517  CA  THR A  66      23.212  32.762  11.891  1.00  3.80           C\nATOM    518  C   THR A  66      23.509  32.224  13.290  1.00  4.60           C\nATOM    519  O   THR A  66      22.544  31.942  14.034  1.00  5.33           O\nATOM    520  CB  THR A  66      22.699  34.267  11.985  1.00  2.85           C\nATOM    521  OG1 THR A  66      22.495  34.690  10.589  1.00  2.15           O\nATOM    522  CG2 THR A  66      23.727  35.131  12.722  1.00  3.40           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Met1–Glu16"
    },
    {
     "label": "B",
     "value": "Gln2–Thr14"
    },
    {
     "label": "C",
     "value": "Met1–Leu15"
    },
    {
     "label": "D",
     "value": "Phe4–Thr66"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DS-1UBQ-B",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 7 residues involved, from chain A of PDB entry 1UBQ (ubiquitin, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "1UBQ-B-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   MET A   1      27.340  24.430   2.614  1.00  9.67           N\nATOM      2  CA  MET A   1      26.266  25.413   2.842  1.00 10.38           C\nATOM      3  C   MET A   1      26.913  26.639   3.531  1.00  9.62           C\nATOM      4  O   MET A   1      27.886  26.463   4.263  1.00  9.62           O\nATOM      5  CB  MET A   1      25.112  24.880   3.649  1.00 13.77           C\nATOM      6  CG  MET A   1      25.353  24.860   5.134  1.00 16.29           C\nATOM      7  SD  MET A   1      23.930  23.959   5.904  1.00 17.17           S\nATOM      8  CE  MET A   1      24.447  23.984   7.620  1.00 16.11           C\nATOM      9  N   GLN A   2      26.335  27.770   3.258  1.00  9.27           N\nATOM     10  CA  GLN A   2      26.850  29.021   3.898  1.00  9.07           C\nATOM     11  C   GLN A   2      26.100  29.253   5.202  1.00  8.72           C\nATOM     12  O   GLN A   2      24.865  29.024   5.330  1.00  8.22           O\nATOM     13  CB  GLN A   2      26.733  30.148   2.905  1.00 14.46           C\nATOM     14  CG  GLN A   2      26.882  31.546   3.409  1.00 17.01           C\nATOM     15  CD  GLN A   2      26.786  32.562   2.270  1.00 20.10           C\nATOM     16  OE1 GLN A   2      27.783  33.160   1.870  1.00 21.89           O\nATOM     17  NE2 GLN A   2      25.562  32.733   1.806  1.00 19.49           N\nATOM    127  N   VAL A  17      30.310  25.458   5.384  1.00  8.99           N\nATOM    128  CA  VAL A  17      30.288  24.245   6.193  1.00  8.85           C\nATOM    129  C   VAL A  17      29.279  23.227   5.641  1.00  8.04           C\nATOM    130  O   VAL A  17      28.478  23.522   4.725  1.00  8.99           O\nATOM    131  CB  VAL A  17      29.903  24.590   7.665  1.00  9.78           C\nATOM    132  CG1 VAL A  17      30.862  25.496   8.389  1.00 12.05           C\nATOM    133  CG2 VAL A  17      28.476  25.135   7.705  1.00 10.54           C\nATOM    134  N   GLU A  18      29.380  22.057   6.232  1.00  7.29           N\nATOM    135  CA  GLU A  18      28.468  20.940   5.980  1.00  7.08           C\nATOM    136  C   GLU A  18      27.819  20.609   7.316  1.00  6.45           C\nATOM    137  O   GLU A  18      28.449  20.674   8.360  1.00  5.28           O\nATOM    138  CB  GLU A  18      29.213  19.697   5.506  1.00 10.28           C\nATOM    139  CG  GLU A  18      29.728  19.755   4.060  1.00 12.65           C\nATOM    140  CD  GLU A  18      28.754  20.061   2.978  1.00 14.15           C\nATOM    141  OE1 GLU A  18      27.546  19.992   2.985  1.00 14.33           O\nATOM    142  OE2 GLU A  18      29.336  20.423   1.904  1.00 18.17           O\nATOM    203  N   LYS A  27      34.734  25.822  14.949  1.00  2.64           N\nATOM    204  CA  LYS A  27      35.596  26.715  15.736  1.00  4.14           C\nATOM    205  C   LYS A  27      36.975  26.826  15.107  1.00  5.58           C\nATOM    206  O   LYS A  27      37.579  27.926  15.159  1.00  4.11           O\nATOM    207  CB  LYS A  27      35.715  26.203  17.172  1.00  3.97           C\nATOM    208  CG  LYS A  27      34.343  26.445  17.898  1.00  7.45           C\nATOM    209  CD  LYS A  27      34.509  26.077  19.360  1.00  9.02           C\nATOM    210  CE  LYS A  27      33.206  26.311  20.122  1.00 12.90           C\nATOM    211  NZ  LYS A  27      33.455  25.910  21.546  1.00 15.47           N\nATOM    288  N   PRO A  38      40.059  28.758  19.607  1.00  8.71           N\nATOM    289  CA  PRO A  38      38.817  28.020  19.889  1.00  9.08           C\nATOM    290  C   PRO A  38      38.421  28.048  21.341  1.00  9.28           C\nATOM    291  O   PRO A  38      37.213  28.036  21.704  1.00  6.50           O\nATOM    292  CB  PRO A  38      39.090  26.629  19.325  1.00 10.31           C\nATOM    293  CG  PRO A  38      40.082  26.904  18.198  1.00 10.81           C\nATOM    294  CD  PRO A  38      41.035  27.909  18.879  1.00 12.00           C\nATOM    483  N   GLN A  62      20.291  24.875   9.507  1.00 13.97           N\nATOM    484  CA  GLN A  62      20.081  24.773   8.033  1.00 15.52           C\nATOM    485  C   GLN A  62      20.822  25.914   7.332  1.00 13.94           C\nATOM    486  O   GLN A  62      21.323  26.830   8.008  1.00 12.15           O\nATOM    487  CB  GLN A  62      18.599  24.736   7.727  1.00 19.53           C\nATOM    488  CG  GLN A  62      17.819  23.434   7.900  1.00 26.38           C\nATOM    489  CD  GLN A  62      16.509  23.529   7.116  1.00 30.61           C\nATOM    490  OE1 GLN A  62      15.446  22.980   7.433  1.00 33.23           O\nATOM    491  NE2 GLN A  62      16.539  24.293   6.009  1.00 32.71           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Lys27–Pro38"
    },
    {
     "label": "B",
     "value": "Met1–Gln62"
    },
    {
     "label": "C",
     "value": "Gln2–Glu18"
    },
    {
     "label": "D",
     "value": "Met1–Val17"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DS-6LYZ",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 7 residues involved, from chain A of PDB entry 6LYZ (hen egg-white lysozyme, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "6LYZ-6LYZ-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   LYS A   1       3.287  10.092  10.329  1.00  5.89           N\nATOM      2  CA  LYS A   1       2.445  10.457   9.182  1.00  8.16           C\nATOM      3  C   LYS A   1       2.500  11.978   9.038  1.00  8.04           C\nATOM      4  O   LYS A   1       2.588  12.719  10.041  1.00  7.07           O\nATOM      5  CB  LYS A   1       1.006   9.995   9.385  1.00  3.88           C\nATOM      6  CG  LYS A   1       0.016  10.546   8.377  1.00  3.81           C\nATOM      7  CD  LYS A   1      -1.404  10.093   8.699  1.00  2.91           C\nATOM      8  CE  LYS A   1      -2.269  10.030   7.451  1.00  3.97           C\nATOM      9  NZ  LYS A   1      -3.559   9.362   7.735  1.00  2.08           N\nATOM    131  N   ASP A  18     -12.769  21.924  17.272  1.00  8.88           N\nATOM    132  CA  ASP A  18     -13.365  23.109  16.641  1.00  5.31           C\nATOM    133  C   ASP A  18     -14.011  23.782  17.854  1.00  8.68           C\nATOM    134  O   ASP A  18     -14.854  23.178  18.553  1.00  5.17           O\nATOM    135  CB  ASP A  18     -14.345  22.666  15.532  1.00  5.62           C\nATOM    136  CG  ASP A  18     -14.876  23.849  14.764  1.00  3.49           C\nATOM    137  OD1 ASP A  18     -14.236  24.851  14.498  1.00  2.14           O\nATOM    138  OD2 ASP A  18     -15.998  23.736  14.352  1.00  2.14           O\nATOM    192  N   LEU A  25     -11.406  26.110  14.692  1.00  9.58           N\nATOM    193  CA  LEU A  25     -10.673  24.992  14.084  1.00  5.23           C\nATOM    194  C   LEU A  25      -9.360  25.444  13.450  1.00  8.56           C\nATOM    195  O   LEU A  25      -8.315  24.771  13.585  1.00  5.58           O\nATOM    196  CB  LEU A  25     -11.540  24.319  13.002  1.00  7.09           C\nATOM    197  CG  LEU A  25     -11.381  22.827  12.790  1.00  8.08           C\nATOM    198  CD1 LEU A  25     -12.160  22.405  11.567  1.00  5.22           C\nATOM    199  CD2 LEU A  25      -9.924  22.468  12.620  1.00  5.22           C\nATOM    226  N   VAL A  29      -5.154  24.171  13.232  1.00 10.45           N\nATOM    227  CA  VAL A  29      -4.492  23.682  12.017  1.00  5.01           C\nATOM    228  C   VAL A  29      -3.253  24.561  11.843  1.00  8.46           C\nATOM    229  O   VAL A  29      -2.171  24.079  11.444  1.00  9.72           O\nATOM    230  CB  VAL A  29      -5.451  23.767  10.838  1.00  6.83           C\nATOM    231  CG1 VAL A  29      -4.805  23.514   9.455  1.00  7.13           C\nATOM    232  CG2 VAL A  29      -6.688  22.937  11.054  1.00  7.13           C\nATOM    292  N   PHE A  38       2.674  19.529  10.015  1.00  6.59           N\nATOM    293  CA  PHE A  38       1.700  18.438   9.899  1.00  5.20           C\nATOM    294  C   PHE A  38       2.308  17.037   9.941  1.00  4.72           C\nATOM    295  O   PHE A  38       1.677  16.048   9.512  1.00  4.43           O\nATOM    296  CB  PHE A  38       0.932  18.594   8.602  1.00  7.03           C\nATOM    297  CG  PHE A  38       0.122  19.847   8.439  1.00  6.77           C\nATOM    298  CD1 PHE A  38      -0.399  20.441   9.533  1.00  6.90           C\nATOM    299  CD2 PHE A  38      -0.039  20.452   7.219  1.00  4.81           C\nATOM    300  CE1 PHE A  38      -1.163  21.641   9.445  1.00  4.37           C\nATOM    301  CE2 PHE A  38      -0.772  21.684   7.147  1.00  6.84           C\nATOM    302  CZ  PHE A  38      -1.339  22.228   8.240  1.00  5.94           C\nATOM    303  N   ASN A  39       3.523  16.992  10.465  1.00  9.08           N\nATOM    304  CA  ASN A  39       4.274  15.746  10.644  1.00  9.32           C\nATOM    305  C   ASN A  39       4.246  15.351  12.121  1.00  7.13           C\nATOM    306  O   ASN A  39       4.873  16.009  12.977  1.00  7.23           O\nATOM    307  CB  ASN A  39       5.722  15.938  10.149  1.00  5.83           C\nATOM    308  CG  ASN A  39       6.540  14.689  10.346  1.00  5.38           C\nATOM    309  OD1 ASN A  39       5.832  13.568  10.757  1.00  6.85           O\nATOM    310  ND2 ASN A  39       7.750  14.624  10.225  1.00  6.85           N\nATOM    939  N   TRP A 123      -6.851  28.660   6.819  1.00  5.88           N\nATOM    940  CA  TRP A 123      -6.268  27.322   6.975  1.00  6.99           C\nATOM    941  C   TRP A 123      -7.232  26.167   6.703  1.00  9.22           C\nATOM    942  O   TRP A 123      -6.815  25.056   6.309  1.00  6.32           O\nATOM    943  CB  TRP A 123      -5.714  27.188   8.393  1.00  4.93           C\nATOM    944  CG  TRP A 123      -4.401  28.049   8.492  1.00  6.07           C\nATOM    945  CD1 TRP A 123      -4.165  29.156   9.207  1.00  6.33           C\nATOM    946  CD2 TRP A 123      -3.187  27.756   7.863  1.00  5.36           C\nATOM    947  NE1 TRP A 123      -2.809  29.614   8.969  1.00  6.66           N\nATOM    948  CE2 TRP A 123      -2.238  28.759   8.217  1.00  7.60           C\nATOM    949  CE3 TRP A 123      -2.804  26.736   7.023  1.00  6.01           C\nATOM    950  CZ2 TRP A 123      -0.910  28.801   7.782  1.00  3.84           C\nATOM    951  CZ3 TRP A 123      -1.467  26.796   6.578  1.00  5.99           C\nATOM    952  CH2 TRP A 123      -0.553  27.762   6.976  1.00  5.99           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Asp18–Leu25"
    },
    {
     "label": "B",
     "value": "Val29–Trp123"
    },
    {
     "label": "C",
     "value": "Lys1–Phe38"
    },
    {
     "label": "D",
     "value": "Lys1–Asn39"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FD-1EHZ",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 nucleotides involved, from chain A of PDB entry 1EHZ (yeast tRNA-Phe, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the P atom of its nucleotide, with Förster radius R0 = 5.4 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.50. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "1EHZ-1EHZ-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM    410  P     G A  20      79.212  62.270  27.169  1.00 37.57           P\nATOM    411  OP1   G A  20      78.632  63.435  26.460  1.00 37.48           O\nATOM    412  OP2   G A  20      78.418  61.535  28.129  1.00 34.93           O\nATOM    413  O5'   G A  20      79.952  61.358  26.110  1.00 35.27           O\nATOM    414  C5'   G A  20      80.561  61.904  24.945  1.00 34.78           C\nATOM    415  C4'   G A  20      80.529  60.879  23.849  1.00 33.56           C\nATOM    416  O4'   G A  20      81.420  59.808  24.203  1.00 34.69           O\nATOM    417  C3'   G A  20      79.164  60.229  23.679  1.00 34.55           C\nATOM    418  O3'   G A  20      78.373  60.964  22.748  1.00 32.07           O\nATOM    419  C2'   G A  20      79.540  58.879  23.115  1.00 31.94           C\nATOM    420  O2'   G A  20      79.935  59.005  21.776  1.00 29.14           O\nATOM    421  C1'   G A  20      80.836  58.580  23.876  1.00 33.29           C\nATOM    422  N9    G A  20      80.557  57.879  25.128  1.00 28.16           N\nATOM    423  C8    G A  20      80.808  58.309  26.413  1.00 28.17           C\nATOM    424  N7    G A  20      80.362  57.471  27.316  1.00 27.62           N\nATOM    425  C5    G A  20      79.819  56.431  26.576  1.00 26.85           C\nATOM    426  C6    G A  20      79.214  55.251  26.985  1.00 29.07           C\nATOM    427  O6    G A  20      79.010  54.845  28.141  1.00 30.12           O\nATOM    428  N1    G A  20      78.811  54.474  25.894  1.00 26.18           N\nATOM    429  C2    G A  20      78.993  54.795  24.576  1.00 28.16           C\nATOM    430  N2    G A  20      78.546  53.879  23.648  1.00 24.71           N\nATOM    431  N3    G A  20      79.567  55.902  24.177  1.00 25.02           N\nATOM    432  C4    G A  20      79.951  56.671  25.225  1.00 27.86           C\nATOM    653  P     A A  31      74.530  45.886  -4.075  1.00 69.42           P\nATOM    654  OP1   A A  31      75.319  46.471  -5.195  1.00 71.00           O\nATOM    655  OP2   A A  31      73.193  45.303  -4.337  1.00 68.84           O\nATOM    656  O5'   A A  31      75.405  44.785  -3.333  1.00 67.81           O\nATOM    657  C5'   A A  31      76.782  45.018  -3.047  1.00 66.34           C\nATOM    658  C4'   A A  31      77.346  43.848  -2.300  1.00 65.86           C\nATOM    659  O4'   A A  31      76.688  43.760  -1.020  1.00 64.48           O\nATOM    660  C3'   A A  31      77.123  42.485  -2.938  1.00 67.80           C\nATOM    661  O3'   A A  31      78.102  42.185  -3.933  1.00 69.43           O\nATOM    662  C2'   A A  31      77.166  41.543  -1.735  1.00 66.49           C\nATOM    663  O2'   A A  31      78.476  41.202  -1.324  1.00 70.09           O\nATOM    664  C1'   A A  31      76.518  42.403  -0.649  1.00 62.06           C\nATOM    665  N9    A A  31      75.083  42.164  -0.541  1.00 56.88           N\nATOM    666  C8    A A  31      74.083  42.881  -1.152  1.00 56.22           C\nATOM    667  N7    A A  31      72.877  42.454  -0.869  1.00 55.69           N\nATOM    668  C5    A A  31      73.093  41.379  -0.019  1.00 52.78           C\nATOM    669  C6    A A  31      72.210  40.498   0.642  1.00 53.56           C\nATOM    670  N6    A A  31      70.867  40.568   0.536  1.00 51.52           N\nATOM    671  N1    A A  31      72.757  39.533   1.428  1.00 53.95           N\nATOM    672  C2    A A  31      74.103  39.473   1.530  1.00 54.22           C\nATOM    673  N3    A A  31      75.027  40.244   0.958  1.00 53.01           N\nATOM    674  C4    A A  31      74.453  41.186   0.189  1.00 54.24           C\nATOM    696  P     U A  33      76.971  35.962  -6.783  1.00 72.91           P\nATOM    697  OP1   U A  33      78.044  35.151  -7.420  1.00 73.35           O\nATOM    698  OP2   U A  33      76.437  37.170  -7.490  1.00 71.97           O\nATOM    699  O5'   U A  33      75.699  35.053  -6.505  1.00 71.09           O\nATOM    700  C5'   U A  33      75.822  33.741  -5.951  1.00 71.16           C\nATOM    701  C4'   U A  33      74.457  33.095  -5.870  1.00 72.48           C\nATOM    702  O4'   U A  33      73.655  33.729  -4.828  1.00 73.47           O\nATOM    703  C3'   U A  33      73.601  33.208  -7.129  1.00 72.70           C\nATOM    704  O3'   U A  33      73.935  32.212  -8.110  1.00 70.79           O\nATOM    705  C2'   U A  33      72.190  33.041  -6.575  1.00 72.85           C\nATOM    706  O2'   U A  33      71.917  31.668  -6.340  1.00 73.80           O\nATOM    707  C1'   U A  33      72.289  33.769  -5.226  1.00 72.04           C\nATOM    708  N1    U A  33      71.847  35.177  -5.291  1.00 69.22           N\nATOM    709  C2    U A  33      70.504  35.476  -4.990  1.00 67.66           C\nATOM    710  O2    U A  33      69.696  34.637  -4.613  1.00 66.73           O\nATOM    711  N3    U A  33      70.155  36.799  -5.139  1.00 64.32           N\nATOM    712  C4    U A  33      70.975  37.841  -5.535  1.00 64.94           C\nATOM    713  O4    U A  33      70.494  38.966  -5.720  1.00 60.96           O\nATOM    714  C5    U A  33      72.339  37.462  -5.787  1.00 65.88           C\nATOM    715  C6    U A  33      72.718  36.181  -5.660  1.00 68.66           C\nATOM    740  P     A A  35      69.287  35.959  -8.637  1.00 69.94           P\nATOM    741  OP1   A A  35      68.963  37.372  -8.988  1.00 66.80           O\nATOM    742  OP2   A A  35      70.613  35.629  -8.027  1.00 67.49           O\nATOM    743  O5'   A A  35      68.138  35.409  -7.674  1.00 69.12           O\nATOM    744  C5'   A A  35      66.791  35.233  -8.158  1.00 71.95           C\nATOM    745  C4'   A A  35      65.999  34.348  -7.216  1.00 73.29           C\nATOM    746  O4'   A A  35      66.330  32.957  -7.426  1.00 71.52           O\nATOM    747  C3'   A A  35      66.228  34.575  -5.733  1.00 75.03           C\nATOM    748  O3'   A A  35      65.477  35.689  -5.246  1.00 79.27           O\nATOM    749  C2'   A A  35      65.806  33.241  -5.122  1.00 73.35           C\nATOM    750  O2'   A A  35      64.415  33.130  -4.902  1.00 73.82           O\nATOM    751  C1'   A A  35      66.202  32.251  -6.217  1.00 69.82           C\nATOM    752  N9    A A  35      67.458  31.568  -5.953  1.00 66.95           N\nATOM    753  C8    A A  35      68.714  31.908  -6.382  1.00 65.90           C\nATOM    754  N7    A A  35      69.650  31.095  -5.969  1.00 63.58           N\nATOM    755  C5    A A  35      68.964  30.158  -5.217  1.00 64.51           C\nATOM    756  C6    A A  35      69.394  29.030  -4.505  1.00 64.64           C\nATOM    757  N6    A A  35      70.676  28.646  -4.442  1.00 64.41           N\nATOM    758  N1    A A  35      68.454  28.302  -3.853  1.00 64.67           N\nATOM    759  C2    A A  35      67.173  28.694  -3.936  1.00 64.93           C\nATOM    760  N3    A A  35      66.650  29.737  -4.582  1.00 64.37           N\nATOM    761  C4    A A  35      67.612  30.435  -5.203  1.00 64.99           C\nATOM    762  P     A A  36      66.113  36.647  -4.115  1.00 81.67           P\nATOM    763  OP1   A A  36      65.045  37.623  -3.738  1.00 81.59           O\nATOM    764  OP2   A A  36      67.432  37.156  -4.600  1.00 82.66           O\nATOM    765  O5'   A A  36      66.374  35.639  -2.911  1.00 83.98           O\nATOM    766  C5'   A A  36      65.302  34.813  -2.451  1.00 87.71           C\nATOM    767  C4'   A A  36      65.801  33.698  -1.565  1.00 90.67           C\nATOM    768  O4'   A A  36      66.568  32.696  -2.288  1.00 89.82           O\nATOM    769  C3'   A A  36      66.712  33.999  -0.388  1.00 92.78           C\nATOM    770  O3'   A A  36      66.031  34.644   0.701  1.00 97.07           O\nATOM    771  C2'   A A  36      67.162  32.587   0.010  1.00 91.11           C\nATOM    772  O2'   A A  36      66.278  31.932   0.896  1.00 92.17           O\nATOM    773  C1'   A A  36      67.143  31.833  -1.328  1.00 88.90           C\nATOM    774  N9    A A  36      68.488  31.414  -1.719  1.00 85.94           N\nATOM    775  C8    A A  36      69.437  32.000  -2.530  1.00 84.74           C\nATOM    776  N7    A A  36      70.588  31.361  -2.537  1.00 83.82           N\nATOM    777  C5    A A  36      70.369  30.267  -1.700  1.00 84.29           C\nATOM    778  C6    A A  36      71.195  29.192  -1.278  1.00 84.05           C\nATOM    779  N6    A A  36      72.462  29.017  -1.673  1.00 85.59           N\nATOM    780  N1    A A  36      70.658  28.283  -0.430  1.00 83.44           N\nATOM    781  C2    A A  36      69.385  28.429  -0.052  1.00 82.14           C\nATOM    782  N3    A A  36      68.512  29.376  -0.383  1.00 82.89           N\nATOM    783  C4    A A  36      69.074  30.277  -1.213  1.00 84.44           C\nATOM   1315  P     C A  61      74.243  55.584  41.447  1.00 42.61           P\nATOM   1316  OP1   C A  61      75.151  54.490  41.830  1.00 44.00           O\nATOM   1317  OP2   C A  61      72.781  55.398  41.440  1.00 37.71           O\nATOM   1318  O5'   C A  61      74.477  56.853  42.390  1.00 39.76           O\nATOM   1319  C5'   C A  61      75.717  57.059  43.037  1.00 43.07           C\nATOM   1320  C4'   C A  61      75.643  58.316  43.840  1.00 39.59           C\nATOM   1321  O4'   C A  61      75.807  59.456  42.959  1.00 37.14           O\nATOM   1322  C3'   C A  61      74.297  58.531  44.524  1.00 38.59           C\nATOM   1323  O3'   C A  61      74.209  57.799  45.784  1.00 39.28           O\nATOM   1324  C2'   C A  61      74.292  60.040  44.702  1.00 37.97           C\nATOM   1325  O2'   C A  61      75.174  60.397  45.747  1.00 38.59           O\nATOM   1326  C1'   C A  61      74.974  60.515  43.421  1.00 36.12           C\nATOM   1327  N1    C A  61      74.069  60.960  42.325  1.00 33.98           N\nATOM   1328  C2    C A  61      73.361  62.180  42.471  1.00 33.04           C\nATOM   1329  O2    C A  61      73.490  62.839  43.524  1.00 35.58           O\nATOM   1330  N3    C A  61      72.551  62.600  41.455  1.00 35.45           N\nATOM   1331  C4    C A  61      72.421  61.838  40.349  1.00 35.34           C\nATOM   1332  N4    C A  61      71.550  62.237  39.373  1.00 32.83           N\nATOM   1333  C5    C A  61      73.147  60.623  40.187  1.00 35.42           C\nATOM   1334  C6    C A  61      73.938  60.221  41.188  1.00 31.03           C\nATOM   1591  P     C A  74      49.934  37.680  60.030  1.00 78.48           P\nATOM   1592  OP1   C A  74      49.485  37.580  61.446  1.00 80.11           O\nATOM   1593  OP2   C A  74      50.090  36.441  59.222  1.00 77.06           O\nATOM   1594  O5'   C A  74      48.914  38.636  59.275  1.00 77.54           O\nATOM   1595  C5'   C A  74      48.529  39.898  59.843  1.00 79.25           C\nATOM   1596  C4'   C A  74      47.463  40.541  58.985  1.00 80.49           C\nATOM   1597  O4'   C A  74      48.030  40.879  57.690  1.00 79.75           O\nATOM   1598  C3'   C A  74      46.291  39.627  58.660  1.00 81.62           C\nATOM   1599  O3'   C A  74      45.292  39.640  59.669  1.00 82.15           O\nATOM   1600  C2'   C A  74      45.778  40.187  57.340  1.00 80.42           C\nATOM   1601  O2'   C A  74      44.932  41.302  57.547  1.00 82.05           O\nATOM   1602  C1'   C A  74      47.080  40.621  56.662  1.00 79.08           C\nATOM   1603  N1    C A  74      47.631  39.588  55.748  1.00 76.36           N\nATOM   1604  C2    C A  74      47.204  39.557  54.400  1.00 74.77           C\nATOM   1605  O2    C A  74      46.399  40.404  54.002  1.00 75.12           O\nATOM   1606  N3    C A  74      47.694  38.606  53.571  1.00 73.87           N\nATOM   1607  C4    C A  74      48.588  37.723  54.024  1.00 73.03           C\nATOM   1608  N4    C A  74      49.055  36.813  53.167  1.00 72.80           N\nATOM   1609  C5    C A  74      49.046  37.734  55.376  1.00 73.50           C\nATOM   1610  C6    C A  74      48.543  38.671  56.196  1.00 74.97           C\nATOM   1631  P     A A  76      40.334  35.770  58.330  1.00 99.54           P\nATOM   1632  OP1   A A  76      41.267  36.020  59.481  1.00 99.74           O\nATOM   1633  OP2   A A  76      40.226  34.405  57.758  1.00 99.88           O\nATOM   1634  O5'   A A  76      38.872  36.304  58.697  1.00100.19           O\nATOM   1635  C5'   A A  76      38.666  37.596  59.323  1.00100.18           C\nATOM   1636  C4'   A A  76      37.607  38.379  58.569  1.00100.19           C\nATOM   1637  O4'   A A  76      36.479  37.500  58.278  1.00100.19           O\nATOM   1638  C3'   A A  76      37.025  39.585  59.305  1.00100.19           C\nATOM   1639  O3'   A A  76      36.428  40.400  58.274  1.00100.19           O\nATOM   1640  C2'   A A  76      35.785  38.991  59.981  1.00100.19           C\nATOM   1641  O2'   A A  76      34.780  39.945  60.283  1.00100.19           O\nATOM   1642  C1'   A A  76      35.314  37.959  58.950  1.00100.19           C\nATOM   1643  N9    A A  76      34.598  36.785  59.488  1.00100.19           N\nATOM   1644  C8    A A  76      34.399  35.586  58.829  1.00100.19           C\nATOM   1645  N7    A A  76      33.715  34.701  59.522  1.00100.19           N\nATOM   1646  C5    A A  76      33.440  35.352  60.719  1.00100.19           C\nATOM   1647  C6    A A  76      32.739  34.948  61.881  1.00100.19           C\nATOM   1648  N6    A A  76      32.161  33.747  62.024  1.00100.19           N\nATOM   1649  N1    A A  76      32.652  35.835  62.902  1.00100.19           N\nATOM   1650  C2    A A  76      33.230  37.042  62.758  1.00100.19           C\nATOM   1651  N3    A A  76      33.911  37.538  61.720  1.00100.19           N\nATOM   1652  C4    A A  76      33.982  36.637  60.719  1.00100.19           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "G20–U33"
    },
    {
     "label": "B",
     "value": "A35–C61"
    },
    {
     "label": "C",
     "value": "A36–C74"
    },
    {
     "label": "D",
     "value": "A31–A76"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FD-1UBQ",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 1UBQ (ubiquitin, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 2.5 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.75. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "1UBQ-1UBQ-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      9  N   GLN A   2      26.335  27.770   3.258  1.00  9.27           N\nATOM     10  CA  GLN A   2      26.850  29.021   3.898  1.00  9.07           C\nATOM     11  C   GLN A   2      26.100  29.253   5.202  1.00  8.72           C\nATOM     12  O   GLN A   2      24.865  29.024   5.330  1.00  8.22           O\nATOM     13  CB  GLN A   2      26.733  30.148   2.905  1.00 14.46           C\nATOM     14  CG  GLN A   2      26.882  31.546   3.409  1.00 17.01           C\nATOM     15  CD  GLN A   2      26.786  32.562   2.270  1.00 20.10           C\nATOM     16  OE1 GLN A   2      27.783  33.160   1.870  1.00 21.89           O\nATOM     17  NE2 GLN A   2      25.562  32.733   1.806  1.00 19.49           N\nATOM     79  N   LYS A  11      30.563  42.623  13.495  1.00 13.56           N\nATOM     80  CA  LYS A  11      31.191  42.012  12.331  1.00 11.91           C\nATOM     81  C   LYS A  11      30.459  40.666  12.130  1.00 10.18           C\nATOM     82  O   LYS A  11      30.253  39.991  13.133  1.00  9.10           O\nATOM     83  CB  LYS A  11      32.672  41.717  12.505  1.00 13.43           C\nATOM     84  CG  LYS A  11      33.280  41.086  11.227  1.00 16.69           C\nATOM     85  CD  LYS A  11      34.762  40.799  11.470  1.00 17.92           C\nATOM     86  CE  LYS A  11      35.614  40.847  10.240  1.00 20.81           C\nATOM     87  NZ  LYS A  11      35.100  40.073   9.101  1.00 21.93           N\nATOM    217  N   LYS A  29      37.633  26.543  11.867  1.00  8.96           N\nATOM    218  CA  LYS A  29      37.471  27.391  10.668  1.00  7.90           C\nATOM    219  C   LYS A  29      37.441  28.882  11.052  1.00  6.92           C\nATOM    220  O   LYS A  29      38.020  29.772  10.382  1.00  6.87           O\nATOM    221  CB  LYS A  29      36.193  27.058   9.911  1.00 10.28           C\nATOM    222  CG  LYS A  29      36.153  25.620   9.409  1.00 14.94           C\nATOM    223  CD  LYS A  29      34.758  25.280   8.900  1.00 19.69           C\nATOM    224  CE  LYS A  29      34.793  24.264   7.767  1.00 22.63           C\nATOM    225  NZ  LYS A  29      34.914  24.944   6.441  1.00 24.98           N\nATOM    475  N   ILE A  61      20.717  22.964  12.260  1.00 11.08           N\nATOM    476  CA  ILE A  61      21.184  24.263  11.690  1.00 11.78           C\nATOM    477  C   ILE A  61      21.110  24.111  10.173  1.00 13.74           C\nATOM    478  O   ILE A  61      21.841  23.198   9.686  1.00 14.60           O\nATOM    479  CB  ILE A  61      22.650  24.516  12.172  1.00 11.80           C\nATOM    480  CG1 ILE A  61      22.662  24.819  13.699  1.00 11.56           C\nATOM    481  CG2 ILE A  61      23.376  25.645  11.409  1.00 13.29           C\nATOM    482  CD1 ILE A  61      24.123  24.981  14.195  1.00 11.42           C\nATOM    501  N   GLU A  64      22.099  29.163   5.605  1.00 10.04           N\nATOM    502  CA  GLU A  64      21.907  30.563   5.881  1.00 10.94           C\nATOM    503  C   GLU A  64      21.466  30.953   7.261  1.00  9.74           C\nATOM    504  O   GLU A  64      21.066  32.112   7.533  1.00  9.42           O\nATOM    505  CB  GLU A  64      21.023  31.223   4.784  1.00 18.31           C\nATOM    506  CG  GLU A  64      21.861  31.342   3.474  1.00 24.16           C\nATOM    507  CD  GLU A  64      21.156  30.726   2.311  1.00 29.00           C\nATOM    508  OE1 GLU A  64      19.942  30.793   2.170  1.00 31.72           O\nATOM    509  OE2 GLU A  64      21.954  30.152   1.535  1.00 32.61           O\nATOM    556  N   LEU A  71      32.763  35.831  23.090  1.00 12.71           N\nATOM    557  CA  LEU A  71      34.145  35.472  23.481  1.00 16.06           C\nATOM    558  C   LEU A  71      34.239  35.353  24.979  1.00 18.09           C\nATOM    559  O   LEU A  71      33.707  36.197  25.728  1.00 19.26           O\nATOM    560  CB  LEU A  71      35.114  36.564  22.907  1.00 17.10           C\nATOM    561  CG  LEU A  71      35.926  35.979  21.737  1.00 19.37           C\nATOM    562  CD1 LEU A  71      35.003  35.084  20.920  1.00 17.51           C\nATOM    563  CD2 LEU A  71      36.533  37.087  20.917  1.00 19.57           C\nATOM    564  N   ARG A  72      34.930  34.384  25.451  1.00 21.47           N\nATOM    565  CA  ARG A  72      35.161  34.174  26.896  1.00 25.83           C\nATOM    566  C   ARG A  72      36.671  34.296  27.089  1.00 27.74           C\nATOM    567  O   ARG A  72      37.305  33.233  26.795  1.00 30.65           O\nATOM    568  CB  ARG A  72      34.717  32.760  27.286  1.00 28.49           C\nATOM    569  CG  ARG A  72      35.752  32.054  28.160  1.00 31.79           C\nATOM    570  CD  ARG A  72      35.612  30.577  28.044  1.00 34.05           C\nATOM    571  NE  ARG A  72      35.040  30.252  26.730  1.00 35.08           N\nATOM    572  CZ  ARG A  72      34.338  29.103  26.650  1.00 34.67           C\nATOM    573  NH1 ARG A  72      34.110  28.437  27.768  1.00 35.02           N\nATOM    574  NH2 ARG A  72      34.014  28.657  25.457  1.00 34.97           N\nATOM    583  N   ARG A  74      40.294  34.412  29.045  0.45 33.82           N\nATOM    584  CA  ARG A  74      40.873  33.802  30.253  0.45 35.33           C\nATOM    585  C   ARG A  74      41.765  34.829  30.944  0.45 36.22           C\nATOM    586  O   ARG A  74      42.945  34.994  30.583  0.45 36.70           O\nATOM    587  CB  ARG A  74      41.651  32.529  29.923  0.45 36.91           C\nATOM    588  CG  ARG A  74      41.608  31.444  30.989  0.45 38.62           C\nATOM    589  CD  ARG A  74      41.896  30.080  30.456  0.45 39.75           C\nATOM    590  NE  ARG A  74      43.311  29.735  30.563  0.45 41.13           N\nATOM    591  CZ  ARG A  74      44.174  29.905  29.554  0.45 41.91           C\nATOM    592  NH1 ARG A  74      43.754  30.312  28.356  0.45 42.75           N\nATOM    593  NH2 ARG A  74      45.477  29.726  29.763  0.45 41.93           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Lys11–Lys29"
    },
    {
     "label": "B",
     "value": "Gln2–Arg72"
    },
    {
     "label": "C",
     "value": "Ile61–Leu71"
    },
    {
     "label": "D",
     "value": "Glu64–Arg74"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FD-6LYZ",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 6LYZ (hen egg-white lysozyme, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 3.0 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.25. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "6LYZ-6LYZ-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM     49  N   GLU A   7      -7.139  17.278   5.565  1.00  8.51           N\nATOM     50  CA  GLU A   7      -7.298  15.981   6.233  1.00  8.02           C\nATOM     51  C   GLU A   7      -7.220  16.067   7.758  1.00  8.57           C\nATOM     52  O   GLU A   7      -8.010  15.426   8.481  1.00  3.39           O\nATOM     53  CB  GLU A   7      -6.197  14.974   5.798  1.00  6.73           C\nATOM     54  CG  GLU A   7      -6.331  13.531   6.327  1.00  5.42           C\nATOM     55  CD  GLU A   7      -5.109  12.590   6.005  1.00  3.74           C\nATOM     56  OE1 GLU A   7      -4.252  13.263   5.433  1.00  5.01           O\nATOM     57  OE2 GLU A   7      -5.112  11.432   6.299  1.00  5.01           O\nATOM    123  N   LEU A  17     -12.229  19.430  18.649  1.00  8.86           N\nATOM    124  CA  LEU A  17     -11.404  20.640  18.766  1.00  7.33           C\nATOM    125  C   LEU A  17     -11.808  21.993  18.180  1.00  8.84           C\nATOM    126  O   LEU A  17     -11.257  23.050  18.558  1.00  7.07           O\nATOM    127  CB  LEU A  17     -10.022  20.399  18.129  1.00  6.46           C\nATOM    128  CG  LEU A  17      -8.921  19.855  19.012  1.00  8.47           C\nATOM    129  CD1 LEU A  17      -7.645  19.743  18.212  1.00  4.23           C\nATOM    130  CD2 LEU A  17      -8.705  20.753  20.205  1.00  4.23           C\nATOM    332  N   THR A  43      10.071  15.848  16.432  1.00  7.52           N\nATOM    333  CA  THR A  43      10.622  16.061  17.776  1.00  6.27           C\nATOM    334  C   THR A  43      11.637  17.199  17.672  1.00 10.16           C\nATOM    335  O   THR A  43      12.218  17.448  16.593  1.00  4.28           O\nATOM    336  CB  THR A  43      11.235  14.726  18.234  1.00  5.70           C\nATOM    337  OG1 THR A  43      12.261  14.469  17.281  1.00  6.25           O\nATOM    338  CG2 THR A  43      10.231  13.604  18.241  1.00  4.23           C\nATOM    373  N   ASP A  48      16.833  23.217  27.945  1.00  5.52           N\nATOM    374  CA  ASP A  48      16.589  22.875  29.352  1.00  3.73           C\nATOM    375  C   ASP A  48      16.526  21.351  29.452  1.00  8.35           C\nATOM    376  O   ASP A  48      16.390  20.782  30.557  1.00  7.78           O\nATOM    377  CB  ASP A  48      15.276  23.535  29.824  1.00  4.73           C\nATOM    378  CG  ASP A  48      14.071  22.773  29.335  1.00 10.39           C\nATOM    379  OD1 ASP A  48      14.147  22.307  28.029  1.00  5.66           O\nATOM    380  OD2 ASP A  48      13.049  22.600  29.976  1.00  5.66           O\nATOM    552  N   PRO A  70      14.165  14.968  33.722  1.00  9.20           N\nATOM    553  CA  PRO A  70      14.000  15.011  35.179  1.00  1.75           C\nATOM    554  C   PRO A  70      13.077  15.708  36.179  1.00  4.96           C\nATOM    555  O   PRO A  70      12.640  15.106  37.183  1.00  4.82           O\nATOM    556  CB  PRO A  70      15.371  15.319  35.687  1.00  4.10           C\nATOM    557  CG  PRO A  70      16.308  15.083  34.519  1.00  2.81           C\nATOM    558  CD  PRO A  70      15.472  15.433  33.293  1.00  7.66           C\nATOM    559  N   GLY A  71      12.800  16.960  35.870  1.00  2.27           N\nATOM    560  CA  GLY A  71      11.889  17.797  36.660  1.00  3.74           C\nATOM    561  C   GLY A  71      10.548  17.095  36.451  1.00  8.15           C\nATOM    562  O   GLY A  71       9.658  17.126  37.328  1.00  3.65           O\nATOM    953  N   ILE A 124      -8.504  26.465   6.917  1.00  8.62           N\nATOM    954  CA  ILE A 124      -9.607  25.561   6.574  1.00  3.57           C\nATOM    955  C   ILE A 124     -10.546  25.869   5.406  1.00  4.85           C\nATOM    956  O   ILE A 124     -11.634  25.266   5.278  1.00  6.08           O\nATOM    957  CB  ILE A 124     -10.605  25.401   7.747  1.00  7.88           C\nATOM    958  CG1 ILE A 124     -11.101  26.762   8.307  1.00  3.94           C\nATOM    959  CG2 ILE A 124      -9.812  24.518   8.711  1.00  5.63           C\nATOM    960  CD1 ILE A 124     -12.219  26.630   9.363  1.00  3.97           C\nATOM    982  N   ARG A 128     -14.081  20.191   3.213  1.00  4.41           N\nATOM    983  CA  ARG A 128     -15.407  19.600   3.434  1.00  2.69           C\nATOM    984  C   ARG A 128     -15.228  19.414   4.941  1.00  7.31           C\nATOM    985  O   ARG A 128     -14.487  18.516   5.396  1.00  1.90           O\nATOM    986  CB  ARG A 128     -15.590  18.312   2.604  1.00  0.35           C\nATOM    987  CG  ARG A 128     -14.719  18.243   1.335  1.00  1.36           C\nATOM    988  CD  ARG A 128     -14.891  16.897   0.658  1.00  3.92           C\nATOM    989  NE  ARG A 128     -13.854  16.681  -0.364  1.00  0.25           N\nATOM    990  CZ  ARG A 128     -13.411  15.458  -0.724  1.00  0.54           C\nATOM    991  NH1 ARG A 128     -13.787  14.365  -0.047  1.00  2.81           N\nATOM    992  NH2 ARG A 128     -12.600  15.351  -1.762  1.00  2.81           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Pro70–Arg128"
    },
    {
     "label": "B",
     "value": "Leu17–Asp48"
    },
    {
     "label": "C",
     "value": "Thr43–Ile124"
    },
    {
     "label": "D",
     "value": "Glu7–Gly71"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1AON",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1AON-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1AON-residue-points.xyz",
     "sha256": "d3587366c916dbd2e00b65dd08078d3c6fff2b4a27f88566b2a14d5961086d70",
     "chars": 197978
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.207",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.265",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.288",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.296",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1KX5",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "inputs": [
    {
     "name": "1KX5-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "1266\n1KX5 nucleosome core particle NCP147: one point per residue (protein CA as C, nucleic-acid P as P), deposited model, angstrom\nP 17.935 138.346 27.497\nP 12.194 138.674 23.960\nP 9.330 136.107 18.600\nP 9.076 132.205 13.158\nP 11.200 126.881 9.610\nP 13.677 120.623 11.069\nP 18.209 117.049 14.993\nP 17.951 113.954 20.920\nP 15.753 112.014 26.487\nP 10.559 109.373 29.505\nP 4.210 108.368 31.043\nP -0.372 105.022 27.943\nP -3.192 101.954 23.260\nP -3.527 97.844 17.906\nP -0.724 94.668 12.685\nP 3.843 90.660 11.284\nP 10.307 88.952 10.935\nP 13.793 86.969 16.563\nP 13.246 84.984 23.007\nP 10.039 80.600 26.758\nP 5.881 76.416 28.940\nP 3.810 69.356 27.548\nP 2.284 64.471 23.186\nP 5.545 60.444 19.592\nP 10.108 58.020 15.543\nP 15.564 57.619 12.510\nP 22.165 58.948 11.216\nP 26.763 63.131 14.504\nP 28.251 65.213 20.755\nP 30.327 62.765 26.471\nP 30.936 57.776 30.916\nP 32.329 51.887 33.053\nP 33.861 45.651 31.658\nP 39.546 42.861 28.655\nP 43.447 42.160 23.258\nP 48.132 44.862 19.258\nP 50.947 50.291 16.429\nP 53.192 56.302 16.900\nP 53.235 62.765 19.536\nP 56.548 64.975 24.811\nP 58.795 64.234 31.228\nP 63.954 61.488 34.367\nP 70.452 59.670 33.687\nP 75.855 59.208 29.902\nP 79.245 60.789 24.818\nP 80.342 62.623 18.390\nP 79.484 67.978 14.621\nP 75.640 73.682 13.426\nP 74.055 79.121 16.577\nP 74.191 83.259 21.870\nP 77.476 85.981 27.067\nP 83.139 88.371 28.911\nP 89.827 88.849 28.114\nP 94.583 90.589 23.712\nP 96.920 94.881 21.271\nP 96.756 96.475 14.286\nP 93.842 100.404 9.983\nP 88.424 102.415 7.040\nP 81.450 102.119 7.509\nP 77.085 105.172 11.513\nP 75.201 108.405 17.429\nP 76.357 114.010 20.618\nP 78.656 120.439 20.712\nP 80.189 125.771 17.282\nP 79.968 129.831 12.048\nP 76.796 131.709 6.735\nP 72.567 130.841 1.860\nP 68.935 126.404 -1.958\nP 63.227 123.325 -0.790\nP 58.581 121.112 3.466\nP 54.734 122.415 9.007\nP 50.881 127.528 10.949\nP 49.306 134.005 11.761\nP 46.776 138.935 8.220\nP 43.498 140.834 2.779\nP 40.540 140.162 -3.320\nP 37.044 136.824 -7.601\nP 35.805 131.129 -11.469\nP 33.170 125.398 -9.787\nP 33.743 120.311 -4.952\nP 28.994 118.938 -0.186\nP 24.643 120.987 4.826\nP 18.547 123.802 5.522\nP 12.713 125.087 2.515\nP 8.537 124.069 -2.259\nP 5.823 121.992 -8.051\nP 5.657 116.671 -11.802\nP 7.193 110.580 -13.184\nP 11.954 105.883 -12.556\nP 14.662 101.259 -8.624\nP 14.742 99.337 -1.972\nP 10.369 97.565 2.845\nP 4.681 94.855 4.393\nP 0.149 90.416 3.178\nP -1.553 85.219 -0.520\nP -1.788 81.453 -5.672\nP 1.147 77.199 -9.892\nP 5.764 75.656 -14.808\nP 12.052 74.040 -14.554\nP 18.493 76.064 -12.857\nP 21.730 74.203 -7.453\nP 21.821 72.729 -0.663\nP 20.465 67.009 2.725\nP 17.087 61.211 4.367\nP 17.911 54.809 2.579\nP 20.231 49.755 -1.349\nP 23.118 47.720 -7.011\nP 28.967 47.538 -9.683\nP 34.718 49.987 -12.343\nP 39.133 55.477 -11.797\nP 42.909 57.267 -6.379\nP 44.460 57.292 0.065\nP 44.643 53.275 5.833\nP 47.440 48.011 8.078\nP 52.589 43.965 6.890\nP 57.107 40.040 3.769\nP 61.688 40.786 -0.992\nP 65.447 43.810 -5.698\nP 66.611 49.335 -8.938\nP 66.729 56.060 -9.031\nP 67.122 61.788 -6.244\nP 67.216 66.162 -0.847\nP 70.970 66.784 4.818\nP 76.388 65.035 8.419\nP 82.500 64.542 8.158\nP 88.511 63.884 5.300\nP 92.098 65.513 -0.178\nP 93.123 68.992 -5.444\nP 91.307 72.323 -11.213\nP 86.548 76.222 -13.912\nP 82.748 81.387 -13.970\nP 78.709 86.450 -11.327\nP 79.759 91.216 -7.072\nP 82.788 93.799 -1.560\nP 88.449 97.586 -1.610\nP 93.318 100.860 -4.636\nP 96.915 103.472 -9.241\nP 96.664 106.634 -15.054\nP 92.426 109.787 -19.244\nP 86.258 109.894 -22.564\nP 80.264 112.279 -21.017\nP 75.173 113.389 -16.960\nP 73.159 116.302 -11.420\nP 74.015 121.040 -6.913\nP 76.052 127.427 -6.192\nP 80.445 132.642 -6.101\nP 81.440 128.440 -23.556\nP 86.794 128.127 -20.487\nP 89.110 124.979 -15.065\nP 89.296 123.670 -8.209\nP 86.311 119.601 -3.877\nP 82.653 113.729 -3.989\nP 77.772 110.009 -7.046\nP 77.124 105.656 -11.821\nP 79.002 102.047 -16.842\nP 83.459 99.033 -20.898\nP 88.961 95.575 -21.580\nP 93.830 92.970 -17.879\nP 96.393 89.955 -12.737\nP 96.121 86.642 -7.064\nP 93.517 85.541 -0.729\nP 88.113 83.468 1.987\nP 80.986 83.498 1.851\nP 77.456 79.891 -2.604\nP 77.347 75.823 -8.305\nP 79.899 70.978 -11.464\nP 82.745 65.046 -12.385\nP 83.963 59.375 -9.614\nP 84.531 55.180 -4.391\nP 81.823 52.679 0.934\nP 77.004 52.043 5.223\nP 71.013 52.391 7.686\nP 65.181 55.985 8.972\nP 61.406 59.416 4.584\nP 59.607 60.402 -1.690\nP 57.412 57.055 -6.733\nP 56.185 51.495 -10.328\nP 54.287 45.078 -10.744\nP 50.550 40.106 -7.939\nP 45.810 38.195 -3.862\nP 41.030 39.816 0.063\nP 37.311 44.136 3.800\nP 35.700 50.498 5.301\nP 34.258 56.377 3.338\nP 34.915 61.924 -0.775\nP 31.589 63.249 -6.360\nP 29.076 61.318 -12.598\nP 23.494 58.097 -14.815\nP 17.114 57.274 -13.359\nP 11.757 58.781 -9.607\nP 8.893 62.168 -4.865\nP 9.018 65.415 1.318\nP 9.973 71.978 2.309\nP 14.594 77.076 2.486\nP 16.751 81.426 -1.836\nP 17.204 84.153 -7.888\nP 14.015 85.921 -13.723\nP 8.365 88.767 -15.030\nP 2.225 90.974 -14.689\nP -1.928 94.445 -12.272\nP -3.486 99.349 -8.358\nP -2.890 103.255 -3.272\nP 0.758 106.690 0.766\nP 6.590 108.002 3.668\nP 13.461 106.527 3.087\nP 17.668 107.965 -1.948\nP 19.383 109.474 -8.374\nP 18.318 113.821 -13.129\nP 18.587 120.572 -14.119\nP 18.102 126.787 -12.179\nP 17.921 131.948 -7.951\nP 21.450 134.574 -3.039\nP 25.771 134.218 1.979\nP 29.192 130.331 6.598\nP 34.396 126.421 6.115\nP 38.511 122.557 2.550\nP 42.132 122.127 -3.401\nP 45.955 125.795 -7.296\nP 49.733 131.221 -8.143\nP 53.006 136.290 -5.798\nP 56.259 139.424 -1.039\nP 59.209 139.550 4.825\nP 62.078 137.013 9.955\nP 62.091 132.184 15.023\nP 63.843 125.864 14.990\nP 62.873 119.915 11.433\nP 67.398 116.865 7.003\nP 72.115 117.058 1.968\nP 78.482 118.805 0.865\nP 84.415 119.965 3.546\nP 88.299 119.613 9.057\nP 90.775 118.158 14.826\nP 89.370 114.444 20.318\nP 87.226 108.849 22.836\nP 81.249 105.033 23.234\nP 79.362 99.406 20.164\nP 78.744 96.593 13.773\nP 82.705 92.829 9.830\nP 88.059 89.051 9.236\nP 91.813 84.740 11.155\nP 93.441 80.651 15.436\nP 91.750 76.964 20.547\nP 89.961 75.479 26.964\nP 83.981 74.699 31.079\nP 77.516 74.424 30.683\nP 71.432 76.475 28.274\nP 67.982 73.961 23.446\nP 67.933 71.497 16.860\nP 69.162 65.163 14.886\nP 70.437 58.372 15.448\nP 69.272 53.106 19.031\nP 67.527 49.435 24.426\nP 63.137 49.294 29.571\nP 57.485 50.853 32.240\nP 51.862 54.393 33.555\nP 48.067 59.793 31.628\nP 44.766 60.672 25.656\nP 43.295 59.424 19.431\nP 41.796 54.668 14.938\nP 38.284 49.105 14.200\nP 33.365 45.581 16.132\nP 27.998 43.956 19.495\nP 23.307 46.250 23.849\nP 20.263 50.741 27.568\nP 19.737 57.356 29.920\nP 21.031 63.646 28.606\nP 21.462 68.553 24.595\nP 21.875 71.805 18.463\nP 18.364 71.482 12.639\nP 12.693 70.125 9.480\nP 6.214 70.247 9.752\nP 0.187 70.697 12.350\nP -3.069 74.578 16.557\nP -3.621 79.585 20.898\nP -1.353 83.621 25.802\nP 4.426 87.096 28.629\nP 9.123 91.511 27.521\nP 13.789 95.307 24.021\nP 13.504 99.112 18.720\nP 10.897 100.679 12.409\nP 5.998 105.188 11.095\nP 2.179 109.996 13.143\nP -1.582 113.567 17.008\nP -0.720 118.379 21.310\nP 3.011 121.415 26.361\nP 9.017 122.013 29.513\nP 15.760 122.112 28.225\nP 21.007 121.663 23.983\nP 23.682 123.030 18.115\nP 23.654 126.912 12.659\nP 22.367 133.131 10.351\nP 19.312 139.004 9.454\nC 106.912 133.801 -29.864\nC 109.230 133.643 -26.850\nC 109.524 131.074 -24.045\nC 108.946 133.453 -21.150\nC 105.457 134.098 -19.767\nC 105.430 130.611 -18.300\nC 109.020 129.421 -17.896\nC 106.945 127.390 -15.475\nC 109.583 124.661 -15.235\nC 108.552 121.287 -16.660\nC 106.963 119.496 -13.711\nC 106.647 119.961 -9.956\nC 103.588 120.999 -8.000\nC 105.766 122.349 -5.205\nC 104.923 125.951 -4.308\nC 108.041 126.995 -2.317\nC 109.881 126.619 -5.630\nC 113.558 126.590 -6.606\nC 114.986 128.245 -3.470\nC 114.696 127.139 0.165\nC 111.398 126.515 1.961\nC 109.456 123.278 1.472\nC 105.917 123.600 2.831\nC 102.787 121.646 1.905\nC 101.474 124.514 -0.221\nC 99.897 123.909 -3.628\nC 96.864 126.039 -4.507\nC 94.641 126.499 -1.457\nC 95.496 128.135 1.866\nC 99.091 127.670 3.103\nC 98.128 130.109 5.856\nC 95.572 129.565 8.626\nC 92.130 131.131 8.350\nC 89.923 131.293 5.264\nC 89.501 129.497 1.943\nC 87.644 131.466 -0.802\nC 84.260 129.756 -1.223\nC 84.907 126.021 -0.687\nC 82.715 123.557 -2.555\nC 79.203 122.811 -1.289\nC 76.405 120.741 -2.797\nC 72.951 122.276 -2.331\nC 70.605 120.956 0.405\nC 68.865 117.965 -1.147\nC 71.537 117.043 -3.674\nC 73.315 114.672 -1.311\nC 70.038 113.349 0.138\nC 69.068 112.375 -3.448\nC 72.482 110.780 -3.992\nC 71.957 108.686 -0.815\nC 68.469 107.582 -1.874\nC 69.969 106.328 -5.157\nC 72.892 104.630 -3.384\nC 70.712 102.796 -0.867\nC 67.972 101.805 -3.286\nC 70.611 100.112 -5.376\nC 72.122 98.053 -2.545\nC 70.691 95.364 -0.273\nC 73.010 95.448 2.744\nC 71.458 95.785 6.186\nC 71.488 99.422 7.325\nC 71.341 99.164 11.123\nC 74.610 98.104 12.851\nC 74.708 94.423 13.794\nC 75.824 94.565 17.440\nC 73.522 97.376 18.535\nC 70.644 95.486 16.893\nC 71.574 92.208 18.520\nC 71.601 93.958 21.905\nC 68.147 95.403 21.374\nC 66.746 92.001 20.408\nC 68.244 90.233 23.454\nC 66.960 92.966 25.756\nC 63.415 92.732 24.395\nC 63.413 88.917 24.570\nC 64.678 88.950 28.194\nC 61.334 90.592 29.065\nC 59.464 87.484 27.913\nC 61.866 84.737 28.987\nC 65.187 85.085 30.796\nC 68.400 83.300 29.918\nC 67.638 82.723 26.270\nC 70.239 82.058 23.632\nC 69.730 82.950 19.937\nC 70.883 81.181 16.814\nC 72.869 83.753 14.791\nC 70.390 83.341 11.900\nC 67.466 84.097 14.298\nC 68.916 87.505 14.950\nC 69.630 88.012 11.244\nC 66.059 86.980 10.332\nC 64.745 89.553 12.810\nC 67.001 92.244 11.363\nC 66.059 91.452 7.746\nC 62.360 91.566 8.728\nC 62.704 94.730 10.842\nC 64.578 96.647 8.186\nC 62.191 95.596 5.410\nC 59.303 96.685 7.648\nC 60.838 100.086 8.375\nC 61.838 100.791 4.810\nC 58.305 99.989 3.540\nC 56.846 102.124 6.346\nC 59.077 105.037 5.291\nC 57.784 104.691 1.725\nC 54.187 105.041 3.061\nC 55.200 107.839 5.458\nC 56.748 109.652 2.444\nC 53.496 109.377 0.474\nC 51.686 110.922 3.496\nC 54.140 113.863 3.646\nC 53.779 114.507 -0.061\nC 50.000 114.255 0.297\nC 50.230 117.204 2.683\nC 52.355 119.116 0.140\nC 55.547 118.610 2.145\nC 58.826 116.905 1.292\nC 59.826 116.476 4.925\nC 58.502 113.431 6.763\nC 57.112 114.073 10.218\nC 55.808 111.897 13.089\nC 52.215 112.641 12.030\nC 53.038 111.040 8.658\nC 54.307 107.864 10.302\nC 51.218 107.898 12.556\nC 48.809 108.339 9.668\nC 50.433 105.502 7.728\nC 50.297 103.136 10.703\nC 46.669 104.022 11.442\nC 45.598 103.317 7.841\nC 47.603 100.101 7.797\nC 45.667 98.972 10.855\nC 48.759 98.930 13.060\nC 47.546 101.783 15.260\nC 43.926 101.353 14.287\nC 90.043 119.832 32.931\nC 86.851 121.146 31.364\nC 88.330 122.502 28.142\nC 86.633 123.237 24.839\nC 82.956 123.245 23.950\nC 83.267 121.259 20.748\nC 86.443 121.052 18.696\nC 90.019 119.790 18.931\nC 91.584 119.459 22.378\nC 90.646 116.589 24.676\nC 87.762 115.831 27.017\nC 85.588 118.213 25.010\nC 82.034 117.292 24.012\nC 81.560 113.790 22.662\nC 83.770 111.754 24.977\nC 81.984 108.753 26.501\nC 83.649 105.417 27.229\nC 81.614 102.328 28.092\nC 79.717 99.750 26.098\nC 76.202 98.936 27.212\nC 75.398 96.706 30.149\nC 72.391 99.027 30.493\nC 72.716 102.147 28.312\nC 71.733 102.980 24.716\nC 70.228 99.779 23.310\nC 67.077 101.159 21.649\nC 69.084 104.371 21.685\nC 71.715 102.344 19.909\nC 69.632 102.384 16.724\nC 71.274 105.586 15.579\nC 69.997 108.654 13.805\nC 72.315 107.749 10.891\nC 70.984 104.202 10.571\nC 67.389 105.539 10.605\nC 68.294 108.119 7.963\nC 69.741 105.318 5.825\nC 66.564 103.243 6.209\nC 64.540 106.302 5.203\nC 66.762 106.862 2.133\nC 66.198 103.313 0.965\nC 62.506 104.147 1.525\nC 62.869 107.144 -0.854\nC 62.771 109.878 1.790\nC 64.606 113.155 0.982\nC 64.047 115.287 4.086\nC 63.544 114.240 7.687\nC 62.045 115.990 10.709\nC 64.152 116.017 13.852\nC 61.384 114.205 15.703\nC 61.350 111.229 13.304\nC 64.209 109.465 15.037\nC 62.519 108.932 18.366\nC 59.287 108.116 16.611\nC 61.044 105.440 14.561\nC 62.650 103.891 17.641\nC 59.228 103.610 19.259\nC 57.769 101.929 16.197\nC 60.723 99.590 15.830\nC 60.485 98.577 19.484\nC 56.767 97.705 19.054\nC 57.514 95.660 15.944\nC 60.248 93.671 17.717\nC 58.219 93.208 20.886\nC 55.439 91.727 18.749\nC 57.575 89.437 16.683\nC 59.878 88.376 19.545\nC 56.954 87.679 21.865\nC 55.597 85.095 19.413\nC 58.999 83.646 18.572\nC 59.705 83.102 22.273\nC 56.249 81.495 22.612\nC 57.302 78.967 19.978\nC 60.691 78.522 21.731\nC 59.046 77.735 25.061\nC 56.477 75.416 23.525\nC 59.378 73.434 22.098\nC 60.933 73.299 25.553\nC 64.034 75.017 24.109\nC 66.298 77.630 25.628\nC 67.522 78.825 22.229\nC 65.457 81.046 19.867\nC 65.846 79.574 16.393\nC 65.526 81.164 12.985\nC 62.427 78.960 12.456\nC 60.820 80.353 15.647\nC 61.312 83.799 14.092\nC 60.089 82.667 10.633\nC 56.914 81.187 12.165\nC 56.320 84.274 14.298\nC 56.740 86.530 11.242\nC 54.394 84.426 9.141\nC 51.547 84.507 11.660\nC 51.956 88.312 11.906\nC 51.456 88.525 8.119\nC 55.121 89.228 7.404\nC 56.332 86.013 5.728\nC 60.103 86.098 5.327\nC 61.946 83.978 2.750\nC 65.562 82.932 3.119\nC 65.723 81.448 6.592\nC 64.050 78.040 6.436\nC 67.153 75.878 6.261\nC 40.565 42.872 34.404\nC 39.740 40.282 31.762\nC 36.505 41.143 29.965\nC 34.098 38.821 31.764\nC 31.308 41.004 33.132\nC 30.887 44.254 35.064\nC 28.289 45.866 37.308\nC 27.490 49.196 38.916\nC 27.789 52.779 37.707\nC 29.711 55.415 39.632\nC 32.011 56.844 36.981\nC 29.074 58.499 35.247\nC 26.946 56.939 32.496\nC 24.884 60.101 32.775\nC 27.899 62.330 33.386\nC 29.043 64.360 30.397\nC 32.666 65.348 29.980\nC 31.335 68.908 30.166\nC 29.902 68.330 33.676\nC 33.113 66.533 34.556\nC 35.162 69.589 33.484\nC 32.727 72.058 35.107\nC 31.698 73.512 31.752\nC 28.593 74.723 29.962\nC 30.063 74.374 26.449\nC 30.053 70.811 24.975\nC 33.309 68.920 25.394\nC 32.060 65.987 23.342\nC 31.147 68.184 20.360\nC 34.385 70.139 20.514\nC 36.315 66.813 20.536\nC 34.412 65.602 17.473\nC 34.871 68.867 15.592\nC 38.640 68.808 16.345\nC 38.800 65.290 14.885\nC 36.610 66.164 11.881\nC 38.724 69.183 10.913\nC 41.987 67.406 10.115\nC 44.106 69.389 12.497\nC 46.302 66.447 13.569\nC 46.329 62.677 13.409\nC 45.493 62.526 17.123\nC 43.597 64.702 19.628\nC 44.290 64.204 23.316\nC 41.434 64.020 25.841\nC 42.348 67.329 27.454\nC 42.427 69.360 24.229\nC 38.655 69.631 23.718\nC 38.211 70.369 27.411\nC 40.675 73.235 27.316\nC 39.262 74.528 24.035\nC 35.610 74.357 25.208\nC 36.581 76.240 28.421\nC 38.264 78.988 26.324\nC 35.294 79.335 23.941\nC 32.943 79.474 26.906\nC 35.094 82.120 28.558\nC 35.210 84.355 25.453\nC 31.480 83.932 24.967\nC 30.886 85.065 28.565\nC 33.109 88.123 28.048\nC 31.354 89.314 24.915\nC 27.904 88.637 26.349\nC 28.740 90.468 29.581\nC 29.797 93.608 27.681\nC 26.974 93.258 25.106\nC 24.276 92.951 27.763\nC 25.780 96.096 29.286\nC 25.441 97.899 25.918\nC 21.802 96.751 25.627\nC 21.113 98.023 29.178\nC 22.865 101.349 28.391\nC 20.498 101.710 25.397\nC 17.492 100.775 27.564\nC 16.942 97.436 25.836\nC 16.564 93.978 27.306\nC 17.296 92.034 24.154\nC 20.824 91.904 22.733\nC 20.901 92.688 18.997\nC 23.925 92.912 16.590\nC 24.367 96.568 17.385\nC 25.065 95.762 21.069\nC 27.619 93.113 20.127\nC 29.389 95.660 17.879\nC 29.319 98.341 20.589\nC 30.709 95.750 23.084\nC 33.501 94.716 20.783\nC 34.597 98.047 19.427\nC 34.593 99.787 22.801\nC 36.771 97.012 24.288\nC 40.457 97.223 23.401\nC 41.169 93.499 23.485\nC 38.001 92.193 21.782\nC 38.440 94.913 19.101\nC 41.912 93.561 18.373\nC 40.784 89.913 18.408\nC 38.023 90.868 15.955\nC 40.028 93.478 14.030\nC 39.318 91.972 10.617\nC 35.792 90.841 11.326\nC 32.572 92.570 10.319\nC 29.522 92.128 12.533\nC 26.504 92.418 10.240\nC 23.992 95.135 11.229\nC 26.486 96.392 13.741\nC 26.979 99.917 12.443\nC 29.980 101.872 13.756\nC 30.897 103.719 16.963\nC 29.778 107.398 17.089\nC 32.933 109.339 16.332\nC 33.372 112.739 14.725\nC 36.893 114.078 14.180\nC 37.487 117.210 16.311\nC 38.436 119.500 13.477\nC 35.027 118.986 11.890\nC 33.022 120.487 14.766\nC 31.950 124.103 14.453\nC 33.281 126.979 16.588\nC 34.996 130.347 16.996\nC 31.307 131.239 16.870\nC 32.157 131.068 13.169\nC 32.495 134.789 12.488\nC 35.784 135.584 10.728\nC 38.201 137.771 12.701\nC 37.201 141.241 11.511\nC 33.456 140.571 11.446\nC 32.898 138.857 8.093\nC 32.947 135.356 6.589\nC 12.119 46.937 21.698\nC 14.616 47.078 18.833\nC 15.702 49.753 16.355\nC 18.851 48.591 14.558\nC 20.195 47.392 12.235\nC 19.094 48.857 8.896\nC 17.631 50.149 6.641\nC 15.661 53.350 7.289\nC 18.740 55.255 8.528\nC 17.667 58.648 7.254\nC 13.944 57.945 7.082\nC 10.914 60.245 7.057\nC 8.588 60.859 4.118\nC 8.637 58.044 1.571\nC 6.066 58.636 -1.175\nC 3.168 59.156 1.242\nC 1.634 56.598 3.632\nC 0.923 58.487 6.859\nC -1.069 57.579 9.973\nC -1.651 60.741 12.007\nC 0.087 64.102 12.441\nC 1.651 65.669 9.352\nC 5.383 66.127 9.920\nC 9.056 65.393 9.220\nC 9.442 65.928 5.459\nC 12.242 63.538 4.456\nC 14.497 64.362 7.397\nC 16.597 67.495 7.003\nC 20.262 66.882 7.771\nC 20.895 68.466 11.156\nC 22.689 71.803 11.269\nC 24.265 72.096 14.698\nC 25.074 75.380 16.452\nC 26.370 76.732 19.725\nC 23.118 78.567 20.371\nC 21.886 76.565 23.388\nC 25.273 76.955 25.059\nC 25.577 80.627 24.197\nC 22.081 80.987 25.708\nC 23.154 79.145 28.895\nC 26.095 81.487 29.355\nC 24.021 84.575 28.653\nC 21.642 83.615 31.509\nC 24.606 83.241 33.871\nC 25.874 86.685 33.176\nC 22.676 88.611 32.460\nC 19.738 86.601 33.876\nC 17.008 88.885 32.526\nC 18.556 89.702 29.153\nC 17.528 88.014 25.953\nC 19.245 87.853 22.530\nC 17.762 88.193 19.020\nC 18.251 85.435 16.459\nC 20.506 87.723 14.358\nC 22.709 88.407 17.393\nC 22.693 84.677 18.093\nC 23.831 84.053 14.469\nC 26.667 86.544 15.121\nC 27.615 84.634 18.353\nC 27.600 81.322 16.493\nC 29.998 82.772 13.866\nC 32.205 84.138 16.638\nC 32.492 80.804 18.417\nC 33.148 78.928 15.152\nC 35.735 81.524 14.020\nC 37.705 81.378 17.300\nC 37.453 77.582 17.343\nC 38.967 77.472 13.824\nC 41.648 80.066 14.632\nC 42.784 78.307 17.799\nC 42.612 74.826 16.222\nC 44.533 75.995 13.136\nC 47.248 77.584 15.283\nC 47.434 74.363 17.408\nC 47.665 72.264 14.214\nC 50.611 74.366 12.939\nC 52.257 74.208 16.355\nC 52.010 70.410 16.392\nC 53.393 70.125 12.831\nC 56.237 72.569 13.515\nC 57.243 70.298 16.390\nC 56.720 67.072 14.471\nC 53.984 65.909 16.843\nC 50.921 64.078 15.625\nC 48.821 64.816 18.705\nC 47.133 68.082 19.604\nC 47.047 68.167 23.390\nC 45.791 70.800 25.795\nC 49.347 72.077 25.690\nC 49.078 72.976 21.970\nC 45.682 74.556 22.673\nC 47.210 76.617 25.484\nC 50.081 77.875 23.356\nC 47.708 78.592 20.415\nC 45.611 80.631 22.874\nC 48.646 82.646 23.973\nC 49.571 83.314 20.345\nC 46.063 84.253 19.270\nC 44.548 86.206 22.138\nC 45.521 89.663 23.271\nC 46.980 90.157 26.759\nC 44.326 89.961 29.465\nC 42.030 87.782 27.413\nC 44.717 85.167 26.880\nC 45.539 85.308 30.601\nC 41.988 84.635 31.746\nC 41.404 82.114 28.918\nC 44.540 80.133 29.914\nC 43.381 80.166 33.575\nC 39.891 78.838 32.701\nC 41.296 76.244 30.290\nC 43.802 74.990 32.861\nC 41.225 74.918 35.607\nC 38.897 72.908 33.402\nC 41.503 70.291 32.434\nC 42.661 69.904 36.025\nC 39.021 69.355 37.150\nC 38.307 66.989 34.294\nC 41.322 64.850 35.202\nC 40.436 64.919 38.916\nC 37.435 62.703 38.242\nC 37.187 58.886 38.127\nC 21.763 182.961 27.355\nC 19.422 185.326 25.504\nC 17.498 186.310 28.646\nC 14.159 185.758 26.897\nC 11.954 182.646 26.915\nC 11.870 179.747 24.451\nC 13.185 176.539 26.059\nC 14.858 175.616 22.766\nC 18.589 175.312 23.511\nC 20.097 171.982 24.574\nC 17.532 169.336 25.607\nC 17.364 167.479 22.302\nC 17.059 170.888 20.683\nC 20.276 172.589 19.538\nC 21.269 169.935 17.013\nC 21.301 166.131 16.874\nC 23.046 163.613 19.127\nC 19.916 161.572 19.831\nC 17.682 159.619 17.413\nC 19.773 156.466 17.802\nC 20.020 152.765 16.996\nC 19.530 150.561 13.960\nC 16.463 151.126 11.784\nC 15.141 147.759 10.587\nC 15.588 143.971 10.525\nC 13.316 142.563 13.236\nC 10.662 140.311 11.708\nC 10.363 142.036 8.335\nC 9.323 145.687 8.598\nC 9.867 146.307 4.852\nC 11.325 149.815 4.990\nC 14.730 148.450 4.115\nC 17.424 147.508 6.595\nC 17.980 143.770 6.885\nC 17.232 141.763 3.725\nC 14.696 138.898 3.966\nC 14.147 135.907 6.291\nC 13.555 132.225 5.242\nC 15.342 129.923 7.748\nC 18.587 128.196 6.718\nC 21.031 126.113 8.732\nC 24.626 127.010 7.936\nC 26.717 124.880 5.522\nC 28.023 121.986 7.570\nC 25.384 122.008 10.296\nC 23.104 119.494 8.564\nC 26.106 117.446 7.403\nC 27.126 117.091 11.092\nC 23.534 116.249 11.964\nC 23.600 113.457 9.333\nC 26.942 112.049 10.650\nC 25.366 111.748 14.119\nC 22.248 110.213 12.696\nC 23.963 107.599 10.586\nC 26.599 106.700 13.154\nC 23.807 105.868 15.613\nC 21.950 103.604 13.203\nC 22.793 100.325 11.509\nC 20.446 100.056 8.542\nC 21.979 99.507 5.102\nC 22.464 102.782 3.228\nC 22.408 101.677 -0.410\nC 18.931 100.847 -1.795\nC 18.369 97.076 -1.918\nC 17.100 96.390 -5.423\nC 19.640 98.680 -7.150\nC 22.438 96.903 -5.209\nC 20.983 93.544 -6.172\nC 21.084 94.421 -9.897\nC 24.714 95.505 -9.646\nC 25.570 92.170 -8.002\nC 23.684 90.259 -10.682\nC 25.286 92.274 -13.501\nC 28.805 91.727 -12.229\nC 28.243 88.052 -11.516\nC 26.658 87.579 -14.906\nC 29.792 88.927 -16.532\nC 31.784 86.210 -14.747\nC 29.353 83.330 -15.311\nC 25.994 83.246 -17.072\nC 22.893 81.540 -15.671\nC 23.572 82.065 -11.953\nC 20.874 82.282 -9.313\nC 21.451 83.833 -5.828\nC 20.201 82.900 -2.407\nC 18.710 86.167 -1.111\nC 20.965 85.981 2.002\nC 24.011 85.775 -0.429\nC 23.054 89.164 -1.769\nC 22.452 90.591 1.728\nC 25.887 89.211 2.795\nC 27.538 90.988 -0.137\nC 25.691 94.205 0.702\nC 26.610 94.070 4.416\nC 30.274 93.451 3.523\nC 30.315 96.092 0.796\nC 28.868 98.777 2.989\nC 31.150 97.995 5.926\nC 34.092 98.114 3.494\nC 33.047 101.505 2.096\nC 32.277 103.051 5.449\nC 35.694 102.001 6.841\nC 37.390 103.300 3.690\nC 35.614 106.657 4.062\nC 36.928 106.808 7.635\nC 40.541 106.342 6.326\nC 39.901 108.770 3.437\nC 38.644 111.410 5.911\nC 41.878 111.005 7.943\nC 43.770 111.656 4.707\nC 41.772 114.830 3.863\nC 42.338 116.060 7.418\nC 46.024 115.263 7.182\nC 46.196 117.665 4.219\nC 44.386 120.380 6.223\nC 41.082 119.884 4.447\nC 37.628 118.847 5.627\nC 36.580 117.855 2.079\nC 37.420 114.355 0.871\nC 38.718 114.115 -2.679\nC 39.670 111.224 -5.030\nC 43.356 111.570 -4.034\nC 42.464 110.900 -0.395\nC 40.699 107.667 -1.374\nC 43.697 106.753 -3.555\nC 46.207 107.406 -0.761\nC 44.215 105.290 1.760\nC 43.899 102.386 -0.700\nC 47.595 102.577 -1.496\nC 48.646 102.539 2.193\nC 46.201 99.666 2.806\nC 47.941 97.685 0.071\nC 44.820 97.528 -2.092\nC 46.587 99.495 -4.801\nC 50.372 99.640 -4.420\nC 5.323 72.575 -10.772\nC 8.363 70.626 -11.930\nC 7.912 70.839 -15.695\nC 9.739 72.942 -18.272\nC 13.183 72.158 -19.672\nC 16.290 73.712 -18.155\nC 19.698 72.607 -19.369\nC 20.856 76.110 -20.258\nC 19.141 77.299 -17.095\nC 15.437 78.124 -17.257\nC 12.766 78.777 -19.862\nC 9.312 78.028 -21.240\nC 8.086 78.711 -24.763\nC 4.593 80.146 -24.702\nC 6.093 83.494 -23.724\nC 6.919 83.243 -20.027\nC 10.635 83.596 -19.270\nC 12.157 86.955 -18.326\nC 15.660 88.415 -17.947\nC 16.257 91.762 -19.612\nC 19.793 92.916 -20.326\nC 21.602 94.259 -17.285\nC 23.749 97.308 -17.865\nC 24.942 100.457 -16.085\nC 23.695 99.286 -12.685\nC 26.716 100.879 -10.962\nC 24.714 104.119 -11.389\nC 22.209 102.544 -9.003\nC 24.799 103.357 -6.340\nC 23.523 106.968 -6.081\nC 25.051 110.221 -4.894\nC 22.672 110.257 -1.855\nC 23.623 106.684 -0.989\nC 27.360 107.413 -1.181\nC 26.849 110.589 0.843\nC 25.097 108.462 3.517\nC 27.961 105.924 3.595\nC 30.475 108.794 3.860\nC 28.411 110.293 6.759\nC 28.463 106.996 8.696\nC 32.219 107.109 7.916\nC 32.292 110.538 9.639\nC 32.796 112.642 6.510\nC 31.432 116.159 6.589\nC 32.248 117.529 3.116\nC 32.614 115.700 -0.185\nC 34.170 116.748 -3.486\nC 32.088 116.272 -6.619\nC 34.464 113.704 -8.097\nC 34.093 111.396 -5.083\nC 30.962 109.721 -6.382\nC 32.399 108.214 -9.538\nC 35.586 107.322 -7.664\nC 33.525 105.455 -5.035\nC 31.572 103.564 -7.694\nC 34.881 102.480 -9.258\nC 36.216 101.265 -5.879\nC 32.994 99.413 -5.078\nC 33.003 97.747 -8.481\nC 36.499 96.413 -7.875\nC 35.524 95.281 -4.386\nC 32.431 93.475 -5.688\nC 34.188 91.937 -8.701\nC 36.789 90.433 -6.386\nC 34.431 88.930 -3.826\nC 31.928 87.731 -6.405\nC 34.728 86.171 -8.514\nC 35.793 83.996 -5.555\nC 32.199 83.275 -4.456\nC 31.292 82.032 -7.904\nC 34.468 79.943 -8.016\nC 33.256 78.223 -4.815\nC 29.767 77.845 -6.384\nC 31.127 76.252 -9.579\nC 33.509 73.956 -7.709\nC 30.518 72.620 -5.811\nC 28.702 72.079 -9.124\nC 25.915 74.422 -8.108\nC 24.161 77.062 -10.201\nC 23.089 79.098 -7.137\nC 25.476 81.339 -5.192\nC 24.947 80.679 -1.496\nC 25.473 82.958 1.454\nC 28.191 80.462 2.415\nC 29.993 80.931 -0.930\nC 30.088 84.692 -0.138\nC 31.191 84.166 3.499\nC 34.084 81.908 2.415\nC 35.066 84.318 -0.325\nC 35.036 87.181 2.158\nC 37.079 85.208 4.635\nC 39.753 84.324 2.122\nC 40.134 87.972 1.273\nC 40.549 88.848 4.929\nC 37.047 90.423 5.231\nC 35.489 87.891 7.654\nC 31.767 88.400 8.014\nC 29.661 87.192 10.929\nC 25.905 86.768 10.759\nC 25.462 84.678 7.636\nC 26.499 81.214 8.619\nC 29.801 79.436 9.015\nC 55.406 35.422 -23.442\nC 52.481 35.056 -21.060\nC 52.905 35.388 -17.299\nC 49.923 37.621 -16.581\nC 49.139 40.971 -14.957\nC 52.723 42.022 -15.756\nC 53.445 41.746 -12.042\nC 56.786 40.081 -12.673\nC 59.938 41.217 -14.480\nC 61.334 44.711 -13.890\nC 59.757 44.480 -10.435\nC 62.023 47.426 -9.621\nC 61.002 51.087 -9.445\nC 60.361 51.185 -13.182\nC 59.523 54.832 -13.784\nC 59.153 57.508 -11.123\nC 55.785 59.229 -11.012\nC 57.511 62.493 -11.888\nC 58.944 60.918 -15.035\nC 55.525 59.577 -16.014\nC 54.065 63.061 -15.496\nC 56.850 64.632 -17.523\nC 57.958 66.593 -14.468\nC 61.195 67.560 -12.798\nC 59.497 68.197 -9.434\nC 59.098 65.137 -7.101\nC 55.562 63.845 -7.329\nC 56.078 61.204 -4.633\nC 57.463 63.717 -2.168\nC 54.530 66.060 -2.925\nC 52.164 63.131 -2.335\nC 53.821 62.361 0.990\nC 53.799 65.995 2.080\nC 50.090 66.328 1.285\nC 49.398 63.219 3.345\nC 51.502 64.308 6.329\nC 50.161 67.835 6.194\nC 46.716 66.822 7.470\nC 44.993 68.619 4.642\nC 42.449 65.837 4.203\nC 41.698 62.229 5.163\nC 42.591 61.050 1.669\nC 44.681 62.361 -1.229\nC 43.840 61.308 -4.784\nC 46.623 60.142 -7.104\nC 46.355 63.026 -9.549\nC 46.524 65.722 -6.822\nC 50.285 65.523 -6.190\nC 50.903 65.442 -9.947\nC 48.798 68.543 -10.616\nC 50.387 70.320 -7.649\nC 53.955 69.310 -8.482\nC 53.388 70.686 -11.980\nC 52.143 74.005 -10.617\nC 55.085 74.300 -8.226\nC 57.529 73.540 -11.057\nC 55.821 76.043 -13.384\nC 55.964 78.838 -10.814\nC 59.587 78.086 -10.061\nC 60.368 78.276 -13.787\nC 58.550 81.608 -14.125\nC 60.532 83.229 -11.334\nC 63.868 81.682 -12.323\nC 63.339 82.843 -15.913\nC 62.748 86.401 -14.714\nC 65.519 86.402 -12.085\nC 67.933 84.981 -14.648\nC 66.978 87.826 -16.998\nC 67.632 90.246 -14.136\nC 71.047 88.733 -13.394\nC 71.820 89.039 -17.092\nC 70.751 92.725 -17.140\nC 73.075 93.368 -14.221\nC 76.036 91.720 -15.963\nC 75.953 88.614 -13.767\nC 75.673 84.894 -14.457\nC 74.717 83.880 -10.911\nC 71.239 84.638 -9.522\nC 71.390 86.199 -6.022\nC 68.480 87.388 -3.791\nC 68.592 90.842 -5.419\nC 67.730 89.307 -8.796\nC 64.792 87.389 -7.343\nC 63.519 90.585 -5.759\nC 63.948 92.548 -8.994\nC 62.143 89.784 -10.907\nC 59.177 89.595 -8.541\nC 58.702 93.270 -7.927\nC 58.885 94.242 -11.609\nC 56.310 91.571 -12.422\nC 52.752 92.663 -11.664\nC 51.415 89.152 -10.990\nC 54.392 87.748 -9.054\nC 54.444 90.929 -7.062\nC 50.800 90.373 -6.096\nC 51.264 86.685 -5.307\nC 54.235 87.642 -3.075\nC 52.612 90.871 -1.901\nC 53.029 89.954 1.744\nC 56.407 88.243 1.406\nC 59.889 89.621 2.228\nC 62.816 88.350 0.178\nC 65.845 88.613 2.476\nC 68.779 90.636 1.049\nC 66.454 91.696 -1.730\nC 66.558 95.464 -1.317\nC 63.883 97.603 -3.048\nC 63.231 98.845 -6.596\nC 64.824 102.176 -7.526\nC 61.990 104.699 -7.188\nC 62.120 108.398 -6.301\nC 58.866 110.343 -6.059\nC 58.876 112.952 -8.856\nC 58.198 115.891 -6.542\nC 61.506 115.221 -4.815\nC 63.618 115.643 -7.976\nC 65.699 118.830 -8.461\nC 64.079 122.155 -9.442\nC 60.978 122.617 -7.260\nC 58.971 119.689 -8.620\nC 59.434 118.253 -12.100\nC 59.945 114.529 -12.740\nC 61.700 115.081 -16.070\nC 64.143 112.307 -16.980\nC 64.051 110.472 -20.309\nC 66.560 107.680 -19.713\nC 64.416 105.210 -17.772\nC 61.381 107.489 -17.525\nC 101.384 41.308 27.496\nC 100.254 43.716 24.777\nC 102.259 45.306 21.964\nC 99.984 48.318 21.481\nC 98.049 47.087 18.401\nC 96.993 50.712 17.918\nC 98.718 54.049 18.700\nC 97.280 56.974 20.664\nC 96.073 59.397 17.991\nC 92.345 59.024 18.554\nC 90.266 55.915 19.206\nC 90.787 52.172 18.772\nC 88.654 49.550 17.026\nC 85.702 47.911 18.777\nC 85.929 44.227 17.842\nC 83.968 44.266 14.579\nC 82.818 47.128 12.355\nC 79.407 48.222 11.073\nC 78.205 47.906 7.473\nC 75.275 50.235 8.160\nC 73.774 52.303 11.003\nC 76.771 53.558 12.997\nC 78.431 53.982 9.614\nC 77.108 57.521 9.214\nC 73.346 57.797 9.859\nC 73.292 59.346 13.340\nC 73.392 63.124 12.863\nC 71.902 62.174 9.526\nC 68.425 63.383 10.471\nC 67.429 63.969 6.853\nC 66.485 67.572 6.147\nC 64.966 67.631 2.659\nC 64.417 70.626 0.382\nC 63.535 71.480 -3.199\nC 67.048 72.687 -3.966\nC 68.014 69.914 -6.419\nC 64.721 70.207 -8.268\nC 64.866 74.034 -8.402\nC 68.388 73.569 -9.785\nC 67.125 71.276 -12.555\nC 64.500 73.809 -13.611\nC 67.041 76.615 -13.677\nC 69.039 74.555 -16.177\nC 66.047 74.141 -18.461\nC 65.332 77.891 -18.483\nC 68.882 79.314 -18.165\nC 71.513 76.626 -18.973\nC 74.429 78.951 -18.258\nC 73.142 80.589 -15.082\nC 73.943 79.594 -11.543\nC 72.257 80.472 -8.244\nC 73.796 81.382 -4.927\nC 73.020 79.429 -1.760\nC 71.142 82.372 -0.228\nC 69.096 82.641 -3.437\nC 68.400 78.924 -3.436\nC 67.122 79.184 0.156\nC 64.746 81.965 -0.988\nC 63.537 79.552 -3.692\nC 63.098 76.710 -1.208\nC 61.013 79.066 1.018\nC 59.015 80.074 -2.075\nC 58.089 76.572 -3.110\nC 57.255 75.624 0.494\nC 55.076 78.723 0.849\nC 53.088 78.132 -2.327\nC 52.694 74.455 -1.492\nC 51.204 75.383 1.903\nC 48.870 78.038 0.477\nC 47.606 75.802 -2.300\nC 47.260 72.764 -0.038\nC 45.570 74.847 2.655\nC 43.099 76.264 0.135\nC 42.465 72.746 -1.244\nC 41.887 71.514 2.282\nC 39.251 74.168 3.072\nC 37.559 73.582 -0.286\nC 37.140 69.861 0.407\nC 35.980 70.534 3.965\nC 33.447 73.110 2.771\nC 32.049 70.518 0.388\nC 32.060 67.715 2.953\nC 34.623 65.685 1.012\nC 37.353 63.727 2.715\nC 39.499 63.635 -0.429\nC 41.770 66.257 -1.999\nC 41.823 65.483 -5.706\nC 43.327 67.340 -8.674\nC 40.009 69.210 -8.965\nC 40.547 70.845 -5.519\nC 44.126 71.680 -6.443\nC 42.872 73.297 -9.643\nC 40.194 75.378 -7.935\nC 42.660 76.324 -5.158\nC 45.089 77.490 -7.852\nC 42.387 79.626 -9.483\nC 41.562 81.241 -6.116\nC 45.187 81.831 -5.111\nC 47.008 82.868 -8.240\nC 46.605 86.173 -10.168\nC 45.025 86.023 -13.630\nC 47.643 84.945 -16.169\nC 49.682 83.017 -13.641\nC 46.580 80.939 -12.837\nC 45.790 80.184 -16.499\nC 49.283 78.822 -17.187\nC 49.456 77.029 -13.840\nC 46.149 75.354 -14.673\nC 47.391 74.500 -18.192\nC 50.563 72.946 -16.764\nC 48.698 71.012 -14.086\nC 46.174 69.631 -16.540\nC 48.998 68.620 -18.885\nC 50.936 66.714 -16.234\nC 47.836 64.815 -15.108\nC 46.956 63.899 -18.707\nC 50.480 62.738 -19.533\nC 50.706 60.873 -16.213\nC 47.362 59.236 -16.981\nC 48.161 58.152 -20.541\nC 51.333 56.771 -18.961\nC 52.226 53.084 -18.567\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.213",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.376",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.542",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.553",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1A34",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "inputs": [
    {
     "name": "1A34-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1A34-capsid-CA.xyz",
     "sha256": "7b54ce07230e83764053971e3fb1d2f7280bc00b28b0d2af09cb6f23dab35ab0",
     "chars": 212598
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.030",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.113",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.190",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.340",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-SPACING-561",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (56.1 G = 5.61 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. What is the vortex lattice spacing (centre-to-centre distance between neighbouring vortices), in nm?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-561G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-561G), nanometres\nV 251.314102 -3380.618935\nV -1417.072625 -2938.096000\nV -766.472207 -2889.730579\nV -115.871790 -2841.365157\nV 534.728627 -2792.999735\nV 1185.329045 -2744.634314\nV 1835.929462 -2696.268892\nV -1784.258517 -2398.842222\nV -1133.658100 -2350.476800\nV -483.057683 -2302.111379\nV 167.542735 -2253.745957\nV 818.143152 -2205.380535\nV 1468.743570 -2157.015114\nV 2119.343987 -2108.649692\nV -2802.044827 -1907.953865\nV -2151.444410 -1859.588443\nV -1500.843992 -1811.223022\nV -850.243575 -1762.857600\nV -199.643158 -1714.492179\nV 450.957260 -1666.126757\nV 1101.557677 -1617.761335\nV 1752.158095 -1569.395914\nV 2402.758512 -1521.030492\nV 3053.358930 -1472.665071\nV -2518.630302 -1320.334665\nV -1868.029885 -1271.969243\nV -1217.429467 -1223.603822\nV -566.829050 -1175.238400\nV 83.771367 -1126.872978\nV 734.371785 -1078.507557\nV 1384.972202 -1030.142135\nV 2035.572620 -981.776714\nV 2686.173037 -933.411292\nV -2885.816195 -781.080886\nV -2235.215777 -732.715465\nV -1584.615360 -684.350043\nV -934.014942 -635.984622\nV -283.414525 -587.619200\nV 367.185892 -539.253778\nV 1017.786310 -490.888357\nV 1668.386727 -442.522935\nV 2318.987145 -394.157514\nV 2969.587562 -345.792092\nV -3253.002087 -241.827108\nV -2602.401670 -193.461686\nV -1951.801252 -145.096265\nV -1301.200835 -96.730843\nV -650.600417 -48.365422\nV 0.000000 -0.000000\nV 650.600417 48.365422\nV 1301.200835 96.730843\nV 1951.801252 145.096265\nV 2602.401670 193.461686\nV 3253.002087 241.827108\nV -2969.587562 345.792092\nV -2318.987145 394.157514\nV -1668.386727 442.522935\nV -1017.786310 490.888357\nV -367.185892 539.253778\nV 283.414525 587.619200\nV 934.014942 635.984622\nV 1584.615360 684.350043\nV 2235.215777 732.715465\nV 2885.816195 781.080886\nV -2686.173037 933.411292\nV -2035.572620 981.776714\nV -1384.972202 1030.142135\nV -734.371785 1078.507557\nV -83.771367 1126.872978\nV 566.829050 1175.238400\nV 1217.429467 1223.603822\nV 1868.029885 1271.969243\nV 2518.630302 1320.334665\nV -3053.358930 1472.665071\nV -2402.758512 1521.030492\nV -1752.158095 1569.395914\nV -1101.557677 1617.761335\nV -450.957260 1666.126757\nV 199.643158 1714.492179\nV 850.243575 1762.857600\nV 1500.843992 1811.223022\nV 2151.444410 1859.588443\nV 2802.044827 1907.953865\nV -2119.343987 2108.649692\nV -1468.743570 2157.015114\nV -818.143152 2205.380535\nV -167.542735 2253.745957\nV 483.057683 2302.111379\nV 1133.658100 2350.476800\nV 1784.258517 2398.842222\nV -1835.929462 2696.268892\nV -1185.329045 2744.634314\nV -534.728627 2792.999735\nV 115.871790 2841.365157\nV 766.472207 2889.730579\nV 1417.072625 2938.096000\nV -251.314102 3380.618935\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "565.0",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "607.1",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "652.4",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "1130.0",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-DENSITY-1173",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (117.3 G = 11.73 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. How many vortices are there per square micrometre (areal vortex density)?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-1173G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1173G), nanometres\nV -264.500251 -2329.397067\nV 900.314811 -2068.421965\nV 452.022136 -2017.518868\nV 3.729462 -1966.615771\nV -444.563213 -1915.712674\nV -892.855888 -1864.809577\nV -1341.148562 -1813.906480\nV 1168.544523 -1705.640669\nV 720.251849 -1654.737572\nV 271.959174 -1603.834475\nV -176.333501 -1552.931378\nV -624.626175 -1502.028281\nV -1072.918850 -1451.125184\nV -1521.211524 -1400.222087\nV 1885.066910 -1393.762470\nV 1436.774236 -1342.859373\nV 988.481561 -1291.956276\nV 540.188886 -1241.053179\nV 91.896212 -1190.150082\nV -356.396463 -1139.246985\nV -804.689137 -1088.343888\nV -1252.981812 -1037.440791\nV -1701.274486 -986.537694\nV 1705.003948 -980.078077\nV -2149.567161 -935.634597\nV 1256.711273 -929.174980\nV 808.418599 -878.271883\nV 360.125924 -827.368786\nV -88.166750 -776.465689\nV -536.459425 -725.562592\nV -984.752099 -674.659495\nV -1433.044774 -623.756398\nV 1973.233660 -617.296781\nV -1881.337449 -572.853301\nV 1524.940986 -566.393684\nV 1076.648311 -515.490587\nV 628.355637 -464.587490\nV 180.062962 -413.684393\nV -268.229712 -362.781296\nV -716.522387 -311.878199\nV -1164.815062 -260.975102\nV 2241.463373 -254.515485\nV -1613.107736 -210.072005\nV 1793.170698 -203.612388\nV -2061.400411 -159.168908\nV 1344.878024 -152.709291\nV 896.585349 -101.806194\nV 448.292675 -50.903097\nV -0.000000 0.000000\nV -448.292675 50.903097\nV -896.585349 101.806194\nV -1344.878024 152.709291\nV 2061.400411 159.168908\nV -1793.170698 203.612388\nV 1613.107736 210.072005\nV -2241.463373 254.515485\nV 1164.815062 260.975102\nV 716.522387 311.878199\nV 268.229712 362.781296\nV -180.062962 413.684393\nV -628.355637 464.587490\nV -1076.648311 515.490587\nV -1524.940986 566.393684\nV 1881.337449 572.853301\nV -1973.233660 617.296781\nV 1433.044774 623.756398\nV 984.752099 674.659495\nV 536.459425 725.562592\nV 88.166750 776.465689\nV -360.125924 827.368786\nV -808.418599 878.271883\nV -1256.711273 929.174980\nV 2149.567161 935.634597\nV -1705.003948 980.078077\nV 1701.274486 986.537694\nV 1252.981812 1037.440791\nV 804.689137 1088.343888\nV 356.396463 1139.246985\nV -91.896212 1190.150082\nV -540.188886 1241.053179\nV -988.481561 1291.956276\nV -1436.774236 1342.859373\nV -1885.066910 1393.762470\nV 1521.211524 1400.222087\nV 1072.918850 1451.125184\nV 624.626175 1502.028281\nV 176.333501 1552.931378\nV -271.959174 1603.834475\nV -720.251849 1654.737572\nV -1168.544523 1705.640669\nV 1341.148562 1813.906480\nV 892.855888 1864.809577\nV 444.563213 1915.712674\nV -3.729462 1966.615771\nV -452.022136 2017.518868\nV -900.314811 2068.421965\nV 264.500251 2329.397067\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.836",
     "unit": "um^-2"
    },
    {
     "label": "B",
     "value": "4.913",
     "unit": "um^-2"
    },
    {
     "label": "C",
     "value": "5.673",
     "unit": "um^-2"
    },
    {
     "label": "D",
     "value": "6.255",
     "unit": "um^-2"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-SPACING-BSCCO",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the measured vortex lattice constant (0.855 μm) reported by Schaefermeier et al. (arXiv:2602.13060; BSCCO-2212, scanning NV magnetometry at 71 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. What is the vortex lattice spacing (centre-to-centre distance between neighbouring vortices), in nm?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-BSCCO-855nm.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (BSCCO-855nm), nanometres\nV -1181.587552 -4282.700767\nV 1075.859074 -4137.408882\nV 251.652927 -3910.012251\nV -572.553220 -3682.615621\nV 1684.893406 -3537.323736\nV -1396.759367 -3455.218990\nV 860.687259 -3309.927105\nV -2220.965514 -3227.822360\nV 3118.133885 -3164.635220\nV 36.481112 -3082.530475\nV -3045.171661 -3000.425729\nV 2293.927738 -2937.238590\nV -787.725035 -2855.133844\nV 1469.721591 -2709.841959\nV -1611.931182 -2627.737214\nV 645.515444 -2482.445329\nV -2436.137328 -2400.340584\nV 2902.962070 -2337.153444\nV -178.690703 -2255.048699\nV -3260.343475 -2172.943953\nV 2078.755923 -2109.756814\nV -1002.896849 -2027.652068\nV 1254.549776 -1882.360183\nV -1827.102996 -1800.255438\nV 3511.996402 -1737.068298\nV 430.343629 -1654.963553\nV -2651.309143 -1572.858807\nV 2687.790255 -1509.671668\nV -393.862517 -1427.566922\nV -3475.515290 -1345.462177\nV 1863.584108 -1282.275037\nV -1218.068664 -1200.170292\nV 4121.030734 -1136.983152\nV -4299.721437 -1118.065546\nV 1039.377962 -1054.878407\nV -2042.274811 -972.773661\nV 3296.824587 -909.586522\nV 215.171815 -827.481776\nV -2866.480958 -745.377031\nV 2472.618440 -682.189891\nV -609.034332 -600.085146\nV -3690.687105 -517.980401\nV 1648.412294 -454.793261\nV -1433.240479 -372.688515\nV 3905.858919 -309.501376\nV 824.206147 -227.396630\nV -2257.446626 -145.291885\nV 3081.652773 -82.104745\nV 0.000000 0.000000\nV -3081.652773 82.104745\nV 2257.446626 145.291885\nV -824.206147 227.396630\nV -3905.858919 309.501376\nV 1433.240479 372.688515\nV -1648.412294 454.793261\nV 3690.687105 517.980401\nV 609.034332 600.085146\nV -2472.618440 682.189891\nV 2866.480958 745.377031\nV -215.171815 827.481776\nV -3296.824587 909.586522\nV 2042.274811 972.773661\nV -1039.377962 1054.878407\nV 4299.721437 1118.065546\nV -4121.030734 1136.983152\nV 1218.068664 1200.170292\nV -1863.584108 1282.275037\nV 3475.515290 1345.462177\nV 393.862517 1427.566922\nV -2687.790255 1509.671668\nV 2651.309143 1572.858807\nV -430.343629 1654.963553\nV -3511.996402 1737.068298\nV 1827.102996 1800.255438\nV -1254.549776 1882.360183\nV 1002.896849 2027.652068\nV -2078.755923 2109.756814\nV 3260.343475 2172.943953\nV 178.690703 2255.048699\nV -2902.962070 2337.153444\nV 2436.137328 2400.340584\nV -645.515444 2482.445329\nV 1611.931182 2627.737214\nV -1469.721591 2709.841959\nV 787.725035 2855.133844\nV -2293.927738 2937.238590\nV 3045.171661 3000.425729\nV -36.481112 3082.530475\nV -3118.133885 3164.635220\nV 2220.965514 3227.822360\nV -860.687259 3309.927105\nV 1396.759367 3455.218990\nV -1684.893406 3537.323736\nV 572.553220 3682.615621\nV -251.652927 3910.012251\nV -1075.859074 4137.408882\nV 1181.587552 4282.700767\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "740.5",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "855.0",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "1480.9",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "1710.0",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-FIELD-BSCCO",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the measured vortex lattice constant (0.855 μm) reported by Schaefermeier et al. (arXiv:2602.13060; BSCCO-2212, scanning NV magnetometry at 71 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. Each vortex carries one superconducting flux quantum Φ0 = h/(2e) = 2.0678 × 10⁻¹⁵ Wb. What is the magnetic induction B inside the superconductor that produces this lattice, in mT?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-BSCCO-855nm.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (BSCCO-855nm), nanometres\nV -1181.587552 -4282.700767\nV 1075.859074 -4137.408882\nV 251.652927 -3910.012251\nV -572.553220 -3682.615621\nV 1684.893406 -3537.323736\nV -1396.759367 -3455.218990\nV 860.687259 -3309.927105\nV -2220.965514 -3227.822360\nV 3118.133885 -3164.635220\nV 36.481112 -3082.530475\nV -3045.171661 -3000.425729\nV 2293.927738 -2937.238590\nV -787.725035 -2855.133844\nV 1469.721591 -2709.841959\nV -1611.931182 -2627.737214\nV 645.515444 -2482.445329\nV -2436.137328 -2400.340584\nV 2902.962070 -2337.153444\nV -178.690703 -2255.048699\nV -3260.343475 -2172.943953\nV 2078.755923 -2109.756814\nV -1002.896849 -2027.652068\nV 1254.549776 -1882.360183\nV -1827.102996 -1800.255438\nV 3511.996402 -1737.068298\nV 430.343629 -1654.963553\nV -2651.309143 -1572.858807\nV 2687.790255 -1509.671668\nV -393.862517 -1427.566922\nV -3475.515290 -1345.462177\nV 1863.584108 -1282.275037\nV -1218.068664 -1200.170292\nV 4121.030734 -1136.983152\nV -4299.721437 -1118.065546\nV 1039.377962 -1054.878407\nV -2042.274811 -972.773661\nV 3296.824587 -909.586522\nV 215.171815 -827.481776\nV -2866.480958 -745.377031\nV 2472.618440 -682.189891\nV -609.034332 -600.085146\nV -3690.687105 -517.980401\nV 1648.412294 -454.793261\nV -1433.240479 -372.688515\nV 3905.858919 -309.501376\nV 824.206147 -227.396630\nV -2257.446626 -145.291885\nV 3081.652773 -82.104745\nV 0.000000 0.000000\nV -3081.652773 82.104745\nV 2257.446626 145.291885\nV -824.206147 227.396630\nV -3905.858919 309.501376\nV 1433.240479 372.688515\nV -1648.412294 454.793261\nV 3690.687105 517.980401\nV 609.034332 600.085146\nV -2472.618440 682.189891\nV 2866.480958 745.377031\nV -215.171815 827.481776\nV -3296.824587 909.586522\nV 2042.274811 972.773661\nV -1039.377962 1054.878407\nV 4299.721437 1118.065546\nV -4121.030734 1136.983152\nV 1218.068664 1200.170292\nV -1863.584108 1282.275037\nV 3475.515290 1345.462177\nV 393.862517 1427.566922\nV -2687.790255 1509.671668\nV 2651.309143 1572.858807\nV -430.343629 1654.963553\nV -3511.996402 1737.068298\nV 1827.102996 1800.255438\nV -1254.549776 1882.360183\nV 1002.896849 2027.652068\nV -2078.755923 2109.756814\nV 3260.343475 2172.943953\nV 178.690703 2255.048699\nV -2902.962070 2337.153444\nV 2436.137328 2400.340584\nV -645.515444 2482.445329\nV 1611.931182 2627.737214\nV -1469.721591 2709.841959\nV 787.725035 2855.133844\nV -2293.927738 2937.238590\nV 3045.171661 3000.425729\nV -36.481112 3082.530475\nV -3118.133885 3164.635220\nV 2220.965514 3227.822360\nV -860.687259 3309.927105\nV 1396.759367 3455.218990\nV -1684.893406 3537.323736\nV 572.553220 3682.615621\nV -251.652927 3910.012251\nV -1075.859074 4137.408882\nV 1181.587552 4282.700767\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.633",
     "unit": "mT"
    },
    {
     "label": "B",
     "value": "2.829",
     "unit": "mT"
    },
    {
     "label": "C",
     "value": "3.266",
     "unit": "mT"
    },
    {
     "label": "D",
     "value": "6.533",
     "unit": "mT"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-FIELD-508",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (50.8 G = 5.08 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. Each vortex carries one superconducting flux quantum Φ0 = h/(2e) = 2.0678 × 10⁻¹⁵ Wb. What is the magnetic induction B inside the superconductor that produces this lattice, in mT?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-508G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-508G), nanometres\nV 286.605652 -3415.917350\nV -1517.017635 -3223.250280\nV -333.709154 -3123.967170\nV 849.599327 -3024.684060\nV 2032.907808 -2925.400950\nV -954.023959 -2832.016990\nV 229.284522 -2732.733880\nV 1412.593002 -2633.450770\nV -1574.338765 -2540.066810\nV -391.030284 -2440.783700\nV 792.278197 -2341.500590\nV -2194.653571 -2248.116630\nV 1975.586678 -2242.217480\nV -1011.345090 -2148.833520\nV 171.963391 -2049.550410\nV -2814.968376 -1956.166450\nV 1355.271872 -1950.267300\nV -1631.659895 -1856.883340\nV 2538.580353 -1850.984190\nV -448.351414 -1757.600230\nV 734.957066 -1658.317120\nV -2251.974701 -1564.933160\nV 1918.265547 -1559.034010\nV -1068.666220 -1465.650050\nV 3101.574028 -1459.750900\nV 114.642261 -1366.366940\nV -2872.289507 -1272.982980\nV 1297.950742 -1267.083830\nV -1688.981026 -1173.699870\nV 2481.259223 -1167.800720\nV -505.672545 -1074.416760\nV 677.635936 -975.133650\nV -2309.295831 -881.749690\nV 1860.944417 -875.850540\nV -1125.987351 -782.466580\nV 3044.252898 -776.567430\nV 57.321130 -683.183470\nV -2929.610637 -589.799510\nV 1240.629611 -583.900360\nV -1746.302156 -490.516400\nV 2423.938092 -484.617250\nV -562.993675 -391.233290\nV -3549.925443 -297.849331\nV 620.314806 -291.950180\nV -2366.616962 -198.566220\nV 1803.623287 -192.667070\nV -1183.308481 -99.283110\nV 2986.931767 -93.383960\nV 0.000000 0.000000\nV -2986.931767 93.383960\nV 1183.308481 99.283110\nV -1803.623287 192.667070\nV 2366.616962 198.566220\nV -620.314806 291.950180\nV 3549.925443 297.849331\nV 562.993675 391.233290\nV -2423.938092 484.617250\nV 1746.302156 490.516400\nV -1240.629611 583.900360\nV 2929.610637 589.799510\nV -57.321130 683.183470\nV -3044.252898 776.567430\nV 1125.987351 782.466580\nV -1860.944417 875.850540\nV 2309.295831 881.749690\nV -677.635936 975.133650\nV 505.672545 1074.416760\nV -2481.259223 1167.800720\nV 1688.981026 1173.699870\nV -1297.950742 1267.083830\nV 2872.289507 1272.982980\nV -114.642261 1366.366940\nV -3101.574028 1459.750900\nV 1068.666220 1465.650050\nV -1918.265547 1559.034010\nV 2251.974701 1564.933160\nV -734.957066 1658.317120\nV 448.351414 1757.600230\nV -2538.580353 1850.984190\nV 1631.659895 1856.883340\nV -1355.271872 1950.267300\nV 2814.968376 1956.166450\nV -171.963391 2049.550410\nV 1011.345090 2148.833520\nV -1975.586678 2242.217480\nV 2194.653571 2248.116630\nV -792.278197 2341.500590\nV 391.030284 2440.783700\nV 1574.338765 2540.066810\nV -1412.593002 2633.450770\nV -229.284522 2732.733880\nV 954.023959 2832.016990\nV -2032.907808 2925.400950\nV -849.599327 3024.684060\nV 333.709154 3123.967170\nV 1517.017635 3223.250280\nV -286.605652 3415.917350\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.693",
     "unit": "mT"
    },
    {
     "label": "B",
     "value": "2.540",
     "unit": "mT"
    },
    {
     "label": "C",
     "value": "4.399",
     "unit": "mT"
    },
    {
     "label": "D",
     "value": "5.080",
     "unit": "mT"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-FLUX-1887",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (188.7 G = 18.87 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. The magnetic induction inside the superconductor is B = 18.87 mT. How much magnetic flux does each vortex carry, in units of 10⁻¹⁵ Wb?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-1887G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1887G), nanometres\nV -242.670614 -1761.960197\nV 697.137822 -1711.859527\nV 86.776906 -1627.795961\nV -523.584011 -1543.732394\nV 416.224425 -1493.631724\nV -1133.944927 -1459.668828\nV -194.136491 -1409.568158\nV 745.671945 -1359.467488\nV -804.497408 -1325.504591\nV 135.311028 -1275.403921\nV 1075.119465 -1225.303251\nV -475.049888 -1191.340355\nV 464.758548 -1141.239685\nV -1085.410804 -1107.276788\nV 1404.566984 -1091.139015\nV -145.602368 -1057.176118\nV 794.206068 -1007.075448\nV -755.963285 -973.112552\nV 183.845151 -923.011882\nV -1366.324201 -889.048985\nV 1123.653587 -872.911212\nV -426.515765 -838.948315\nV 513.292671 -788.847645\nV -1036.876682 -754.884749\nV 1453.101107 -738.746976\nV -97.068246 -704.784079\nV -1647.237598 -670.821182\nV 842.740191 -654.683409\nV -707.429162 -620.720512\nV 232.379274 -570.619842\nV -1317.790079 -536.656946\nV 1172.187710 -520.519173\nV -377.981642 -486.556276\nV 561.826794 -436.455606\nV -988.342559 -402.492709\nV 1501.635230 -386.354936\nV -48.534123 -352.392039\nV -1598.703475 -318.429143\nV 891.274313 -302.291370\nV -658.895039 -268.328473\nV 1831.082749 -252.190700\nV 280.913397 -218.227803\nV -1269.255956 -184.264906\nV 1220.721833 -168.127133\nV -329.447520 -134.164236\nV 610.360916 -84.063567\nV -939.808436 -50.100670\nV 1550.169353 -33.962897\nV 0.000000 -0.000000\nV -1550.169353 33.962897\nV 939.808436 50.100670\nV -610.360916 84.063567\nV 329.447520 134.164236\nV -1220.721833 168.127133\nV 1269.255956 184.264906\nV -280.913397 218.227803\nV -1831.082749 252.190700\nV 658.895039 268.328473\nV -891.274313 302.291370\nV 1598.703475 318.429143\nV 48.534123 352.392039\nV -1501.635230 386.354936\nV 988.342559 402.492709\nV -561.826794 436.455606\nV 377.981642 486.556276\nV -1172.187710 520.519173\nV 1317.790079 536.656946\nV -232.379274 570.619842\nV 707.429162 620.720512\nV -842.740191 654.683409\nV 1647.237598 670.821182\nV 97.068246 704.784079\nV -1453.101107 738.746976\nV 1036.876682 754.884749\nV -513.292671 788.847645\nV 426.515765 838.948315\nV -1123.653587 872.911212\nV 1366.324201 889.048985\nV -183.845151 923.011882\nV 755.963285 973.112552\nV -794.206068 1007.075448\nV 145.602368 1057.176118\nV -1404.566984 1091.139015\nV 1085.410804 1107.276788\nV -464.758548 1141.239685\nV 475.049888 1191.340355\nV -1075.119465 1225.303251\nV -135.311028 1275.403921\nV 804.497408 1325.504591\nV -745.671945 1359.467488\nV 194.136491 1409.568158\nV 1133.944927 1459.668828\nV -416.224425 1493.631724\nV 523.584011 1543.732394\nV -86.776906 1627.795961\nV -697.137822 1711.859527\nV 242.670614 1761.960197\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.034",
     "unit": "1e-15 Wb"
    },
    {
     "label": "B",
     "value": "2.068",
     "unit": "1e-15 Wb"
    },
    {
     "label": "C",
     "value": "2.388",
     "unit": "1e-15 Wb"
    },
    {
     "label": "D",
     "value": "4.136",
     "unit": "1e-15 Wb"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-SANS-1173",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (117.3 G = 11.73 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. In a small-angle neutron scattering experiment on this lattice, at what scattering vector q (q = 4π sinθ/λ) does the first-order Bragg peak of the vortex lattice appear, in μm⁻¹?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-1173G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1173G), nanometres\nV -264.500251 -2329.397067\nV 900.314811 -2068.421965\nV 452.022136 -2017.518868\nV 3.729462 -1966.615771\nV -444.563213 -1915.712674\nV -892.855888 -1864.809577\nV -1341.148562 -1813.906480\nV 1168.544523 -1705.640669\nV 720.251849 -1654.737572\nV 271.959174 -1603.834475\nV -176.333501 -1552.931378\nV -624.626175 -1502.028281\nV -1072.918850 -1451.125184\nV -1521.211524 -1400.222087\nV 1885.066910 -1393.762470\nV 1436.774236 -1342.859373\nV 988.481561 -1291.956276\nV 540.188886 -1241.053179\nV 91.896212 -1190.150082\nV -356.396463 -1139.246985\nV -804.689137 -1088.343888\nV -1252.981812 -1037.440791\nV -1701.274486 -986.537694\nV 1705.003948 -980.078077\nV -2149.567161 -935.634597\nV 1256.711273 -929.174980\nV 808.418599 -878.271883\nV 360.125924 -827.368786\nV -88.166750 -776.465689\nV -536.459425 -725.562592\nV -984.752099 -674.659495\nV -1433.044774 -623.756398\nV 1973.233660 -617.296781\nV -1881.337449 -572.853301\nV 1524.940986 -566.393684\nV 1076.648311 -515.490587\nV 628.355637 -464.587490\nV 180.062962 -413.684393\nV -268.229712 -362.781296\nV -716.522387 -311.878199\nV -1164.815062 -260.975102\nV 2241.463373 -254.515485\nV -1613.107736 -210.072005\nV 1793.170698 -203.612388\nV -2061.400411 -159.168908\nV 1344.878024 -152.709291\nV 896.585349 -101.806194\nV 448.292675 -50.903097\nV -0.000000 0.000000\nV -448.292675 50.903097\nV -896.585349 101.806194\nV -1344.878024 152.709291\nV 2061.400411 159.168908\nV -1793.170698 203.612388\nV 1613.107736 210.072005\nV -2241.463373 254.515485\nV 1164.815062 260.975102\nV 716.522387 311.878199\nV 268.229712 362.781296\nV -180.062962 413.684393\nV -628.355637 464.587490\nV -1076.648311 515.490587\nV -1524.940986 566.393684\nV 1881.337449 572.853301\nV -1973.233660 617.296781\nV 1433.044774 623.756398\nV 984.752099 674.659495\nV 536.459425 725.562592\nV 88.166750 776.465689\nV -360.125924 827.368786\nV -808.418599 878.271883\nV -1256.711273 929.174980\nV 2149.567161 935.634597\nV -1705.003948 980.078077\nV 1701.274486 986.537694\nV 1252.981812 1037.440791\nV 804.689137 1088.343888\nV 356.396463 1139.246985\nV -91.896212 1190.150082\nV -540.188886 1241.053179\nV -988.481561 1291.956276\nV -1436.774236 1342.859373\nV -1885.066910 1393.762470\nV 1521.211524 1400.222087\nV 1072.918850 1451.125184\nV 624.626175 1502.028281\nV 176.333501 1552.931378\nV -271.959174 1603.834475\nV -720.251849 1654.737572\nV -1168.544523 1705.640669\nV 1341.148562 1813.906480\nV 892.855888 1864.809577\nV 444.563213 1915.712674\nV -3.729462 1966.615771\nV -452.022136 2017.518868\nV -900.314811 2068.421965\nV 264.500251 2329.397067\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2.56",
     "unit": "um^-1"
    },
    {
     "label": "B",
     "value": "13.93",
     "unit": "um^-1"
    },
    {
     "label": "C",
     "value": "16.08",
     "unit": "um^-1"
    },
    {
     "label": "D",
     "value": "27.85",
     "unit": "um^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-DES-SPACING",
   "family": "vortex_design",
   "ability": "design",
   "question": "The four files list the vortex centres (nm) in model images of the Abrikosov vortex lattice of an MgB2 crystal at four applied fields (files named by field). Model conditions: the only measured input is the applied magnetic field of each image reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. You must choose one applied field such that the vortex lattice spacing is closest to 450 nm. Which field should you choose?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-508G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-508G), nanometres\nV 286.605652 -3415.917350\nV -1517.017635 -3223.250280\nV -333.709154 -3123.967170\nV 849.599327 -3024.684060\nV 2032.907808 -2925.400950\nV -954.023959 -2832.016990\nV 229.284522 -2732.733880\nV 1412.593002 -2633.450770\nV -1574.338765 -2540.066810\nV -391.030284 -2440.783700\nV 792.278197 -2341.500590\nV -2194.653571 -2248.116630\nV 1975.586678 -2242.217480\nV -1011.345090 -2148.833520\nV 171.963391 -2049.550410\nV -2814.968376 -1956.166450\nV 1355.271872 -1950.267300\nV -1631.659895 -1856.883340\nV 2538.580353 -1850.984190\nV -448.351414 -1757.600230\nV 734.957066 -1658.317120\nV -2251.974701 -1564.933160\nV 1918.265547 -1559.034010\nV -1068.666220 -1465.650050\nV 3101.574028 -1459.750900\nV 114.642261 -1366.366940\nV -2872.289507 -1272.982980\nV 1297.950742 -1267.083830\nV -1688.981026 -1173.699870\nV 2481.259223 -1167.800720\nV -505.672545 -1074.416760\nV 677.635936 -975.133650\nV -2309.295831 -881.749690\nV 1860.944417 -875.850540\nV -1125.987351 -782.466580\nV 3044.252898 -776.567430\nV 57.321130 -683.183470\nV -2929.610637 -589.799510\nV 1240.629611 -583.900360\nV -1746.302156 -490.516400\nV 2423.938092 -484.617250\nV -562.993675 -391.233290\nV -3549.925443 -297.849331\nV 620.314806 -291.950180\nV -2366.616962 -198.566220\nV 1803.623287 -192.667070\nV -1183.308481 -99.283110\nV 2986.931767 -93.383960\nV 0.000000 0.000000\nV -2986.931767 93.383960\nV 1183.308481 99.283110\nV -1803.623287 192.667070\nV 2366.616962 198.566220\nV -620.314806 291.950180\nV 3549.925443 297.849331\nV 562.993675 391.233290\nV -2423.938092 484.617250\nV 1746.302156 490.516400\nV -1240.629611 583.900360\nV 2929.610637 589.799510\nV -57.321130 683.183470\nV -3044.252898 776.567430\nV 1125.987351 782.466580\nV -1860.944417 875.850540\nV 2309.295831 881.749690\nV -677.635936 975.133650\nV 505.672545 1074.416760\nV -2481.259223 1167.800720\nV 1688.981026 1173.699870\nV -1297.950742 1267.083830\nV 2872.289507 1272.982980\nV -114.642261 1366.366940\nV -3101.574028 1459.750900\nV 1068.666220 1465.650050\nV -1918.265547 1559.034010\nV 2251.974701 1564.933160\nV -734.957066 1658.317120\nV 448.351414 1757.600230\nV -2538.580353 1850.984190\nV 1631.659895 1856.883340\nV -1355.271872 1950.267300\nV 2814.968376 1956.166450\nV -171.963391 2049.550410\nV 1011.345090 2148.833520\nV -1975.586678 2242.217480\nV 2194.653571 2248.116630\nV -792.278197 2341.500590\nV 391.030284 2440.783700\nV 1574.338765 2540.066810\nV -1412.593002 2633.450770\nV -229.284522 2732.733880\nV 954.023959 2832.016990\nV -2032.907808 2925.400950\nV -849.599327 3024.684060\nV 333.709154 3123.967170\nV 1517.017635 3223.250280\nV -286.605652 3415.917350\n"
    },
    {
     "name": "vortex-MgB2-561G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-561G), nanometres\nV 251.314102 -3380.618935\nV -1417.072625 -2938.096000\nV -766.472207 -2889.730579\nV -115.871790 -2841.365157\nV 534.728627 -2792.999735\nV 1185.329045 -2744.634314\nV 1835.929462 -2696.268892\nV -1784.258517 -2398.842222\nV -1133.658100 -2350.476800\nV -483.057683 -2302.111379\nV 167.542735 -2253.745957\nV 818.143152 -2205.380535\nV 1468.743570 -2157.015114\nV 2119.343987 -2108.649692\nV -2802.044827 -1907.953865\nV -2151.444410 -1859.588443\nV -1500.843992 -1811.223022\nV -850.243575 -1762.857600\nV -199.643158 -1714.492179\nV 450.957260 -1666.126757\nV 1101.557677 -1617.761335\nV 1752.158095 -1569.395914\nV 2402.758512 -1521.030492\nV 3053.358930 -1472.665071\nV -2518.630302 -1320.334665\nV -1868.029885 -1271.969243\nV -1217.429467 -1223.603822\nV -566.829050 -1175.238400\nV 83.771367 -1126.872978\nV 734.371785 -1078.507557\nV 1384.972202 -1030.142135\nV 2035.572620 -981.776714\nV 2686.173037 -933.411292\nV -2885.816195 -781.080886\nV -2235.215777 -732.715465\nV -1584.615360 -684.350043\nV -934.014942 -635.984622\nV -283.414525 -587.619200\nV 367.185892 -539.253778\nV 1017.786310 -490.888357\nV 1668.386727 -442.522935\nV 2318.987145 -394.157514\nV 2969.587562 -345.792092\nV -3253.002087 -241.827108\nV -2602.401670 -193.461686\nV -1951.801252 -145.096265\nV -1301.200835 -96.730843\nV -650.600417 -48.365422\nV 0.000000 -0.000000\nV 650.600417 48.365422\nV 1301.200835 96.730843\nV 1951.801252 145.096265\nV 2602.401670 193.461686\nV 3253.002087 241.827108\nV -2969.587562 345.792092\nV -2318.987145 394.157514\nV -1668.386727 442.522935\nV -1017.786310 490.888357\nV -367.185892 539.253778\nV 283.414525 587.619200\nV 934.014942 635.984622\nV 1584.615360 684.350043\nV 2235.215777 732.715465\nV 2885.816195 781.080886\nV -2686.173037 933.411292\nV -2035.572620 981.776714\nV -1384.972202 1030.142135\nV -734.371785 1078.507557\nV -83.771367 1126.872978\nV 566.829050 1175.238400\nV 1217.429467 1223.603822\nV 1868.029885 1271.969243\nV 2518.630302 1320.334665\nV -3053.358930 1472.665071\nV -2402.758512 1521.030492\nV -1752.158095 1569.395914\nV -1101.557677 1617.761335\nV -450.957260 1666.126757\nV 199.643158 1714.492179\nV 850.243575 1762.857600\nV 1500.843992 1811.223022\nV 2151.444410 1859.588443\nV 2802.044827 1907.953865\nV -2119.343987 2108.649692\nV -1468.743570 2157.015114\nV -818.143152 2205.380535\nV -167.542735 2253.745957\nV 483.057683 2302.111379\nV 1133.658100 2350.476800\nV 1784.258517 2398.842222\nV -1835.929462 2696.268892\nV -1185.329045 2744.634314\nV -534.728627 2792.999735\nV 115.871790 2841.365157\nV 766.472207 2889.730579\nV 1417.072625 2938.096000\nV -251.314102 3380.618935\n"
    },
    {
     "name": "vortex-MgB2-1173G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1173G), nanometres\nV -264.500251 -2329.397067\nV 900.314811 -2068.421965\nV 452.022136 -2017.518868\nV 3.729462 -1966.615771\nV -444.563213 -1915.712674\nV -892.855888 -1864.809577\nV -1341.148562 -1813.906480\nV 1168.544523 -1705.640669\nV 720.251849 -1654.737572\nV 271.959174 -1603.834475\nV -176.333501 -1552.931378\nV -624.626175 -1502.028281\nV -1072.918850 -1451.125184\nV -1521.211524 -1400.222087\nV 1885.066910 -1393.762470\nV 1436.774236 -1342.859373\nV 988.481561 -1291.956276\nV 540.188886 -1241.053179\nV 91.896212 -1190.150082\nV -356.396463 -1139.246985\nV -804.689137 -1088.343888\nV -1252.981812 -1037.440791\nV -1701.274486 -986.537694\nV 1705.003948 -980.078077\nV -2149.567161 -935.634597\nV 1256.711273 -929.174980\nV 808.418599 -878.271883\nV 360.125924 -827.368786\nV -88.166750 -776.465689\nV -536.459425 -725.562592\nV -984.752099 -674.659495\nV -1433.044774 -623.756398\nV 1973.233660 -617.296781\nV -1881.337449 -572.853301\nV 1524.940986 -566.393684\nV 1076.648311 -515.490587\nV 628.355637 -464.587490\nV 180.062962 -413.684393\nV -268.229712 -362.781296\nV -716.522387 -311.878199\nV -1164.815062 -260.975102\nV 2241.463373 -254.515485\nV -1613.107736 -210.072005\nV 1793.170698 -203.612388\nV -2061.400411 -159.168908\nV 1344.878024 -152.709291\nV 896.585349 -101.806194\nV 448.292675 -50.903097\nV -0.000000 0.000000\nV -448.292675 50.903097\nV -896.585349 101.806194\nV -1344.878024 152.709291\nV 2061.400411 159.168908\nV -1793.170698 203.612388\nV 1613.107736 210.072005\nV -2241.463373 254.515485\nV 1164.815062 260.975102\nV 716.522387 311.878199\nV 268.229712 362.781296\nV -180.062962 413.684393\nV -628.355637 464.587490\nV -1076.648311 515.490587\nV -1524.940986 566.393684\nV 1881.337449 572.853301\nV -1973.233660 617.296781\nV 1433.044774 623.756398\nV 984.752099 674.659495\nV 536.459425 725.562592\nV 88.166750 776.465689\nV -360.125924 827.368786\nV -808.418599 878.271883\nV -1256.711273 929.174980\nV 2149.567161 935.634597\nV -1705.003948 980.078077\nV 1701.274486 986.537694\nV 1252.981812 1037.440791\nV 804.689137 1088.343888\nV 356.396463 1139.246985\nV -91.896212 1190.150082\nV -540.188886 1241.053179\nV -988.481561 1291.956276\nV -1436.774236 1342.859373\nV -1885.066910 1393.762470\nV 1521.211524 1400.222087\nV 1072.918850 1451.125184\nV 624.626175 1502.028281\nV 176.333501 1552.931378\nV -271.959174 1603.834475\nV -720.251849 1654.737572\nV -1168.544523 1705.640669\nV 1341.148562 1813.906480\nV 892.855888 1864.809577\nV 444.563213 1915.712674\nV -3.729462 1966.615771\nV -452.022136 2017.518868\nV -900.314811 2068.421965\nV 264.500251 2329.397067\n"
    },
    {
     "name": "vortex-MgB2-1887G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1887G), nanometres\nV -242.670614 -1761.960197\nV 697.137822 -1711.859527\nV 86.776906 -1627.795961\nV -523.584011 -1543.732394\nV 416.224425 -1493.631724\nV -1133.944927 -1459.668828\nV -194.136491 -1409.568158\nV 745.671945 -1359.467488\nV -804.497408 -1325.504591\nV 135.311028 -1275.403921\nV 1075.119465 -1225.303251\nV -475.049888 -1191.340355\nV 464.758548 -1141.239685\nV -1085.410804 -1107.276788\nV 1404.566984 -1091.139015\nV -145.602368 -1057.176118\nV 794.206068 -1007.075448\nV -755.963285 -973.112552\nV 183.845151 -923.011882\nV -1366.324201 -889.048985\nV 1123.653587 -872.911212\nV -426.515765 -838.948315\nV 513.292671 -788.847645\nV -1036.876682 -754.884749\nV 1453.101107 -738.746976\nV -97.068246 -704.784079\nV -1647.237598 -670.821182\nV 842.740191 -654.683409\nV -707.429162 -620.720512\nV 232.379274 -570.619842\nV -1317.790079 -536.656946\nV 1172.187710 -520.519173\nV -377.981642 -486.556276\nV 561.826794 -436.455606\nV -988.342559 -402.492709\nV 1501.635230 -386.354936\nV -48.534123 -352.392039\nV -1598.703475 -318.429143\nV 891.274313 -302.291370\nV -658.895039 -268.328473\nV 1831.082749 -252.190700\nV 280.913397 -218.227803\nV -1269.255956 -184.264906\nV 1220.721833 -168.127133\nV -329.447520 -134.164236\nV 610.360916 -84.063567\nV -939.808436 -50.100670\nV 1550.169353 -33.962897\nV 0.000000 -0.000000\nV -1550.169353 33.962897\nV 939.808436 50.100670\nV -610.360916 84.063567\nV 329.447520 134.164236\nV -1220.721833 168.127133\nV 1269.255956 184.264906\nV -280.913397 218.227803\nV -1831.082749 252.190700\nV 658.895039 268.328473\nV -891.274313 302.291370\nV 1598.703475 318.429143\nV 48.534123 352.392039\nV -1501.635230 386.354936\nV 988.342559 402.492709\nV -561.826794 436.455606\nV 377.981642 486.556276\nV -1172.187710 520.519173\nV 1317.790079 536.656946\nV -232.379274 570.619842\nV 707.429162 620.720512\nV -842.740191 654.683409\nV 1647.237598 670.821182\nV 97.068246 704.784079\nV -1453.101107 738.746976\nV 1036.876682 754.884749\nV -513.292671 788.847645\nV 426.515765 838.948315\nV -1123.653587 872.911212\nV 1366.324201 889.048985\nV -183.845151 923.011882\nV 755.963285 973.112552\nV -794.206068 1007.075448\nV 145.602368 1057.176118\nV -1404.566984 1091.139015\nV 1085.410804 1107.276788\nV -464.758548 1141.239685\nV 475.049888 1191.340355\nV -1075.119465 1225.303251\nV -135.311028 1275.403921\nV 804.497408 1325.504591\nV -745.671945 1359.467488\nV 194.136491 1409.568158\nV 1133.944927 1459.668828\nV -416.224425 1493.631724\nV 523.584011 1543.732394\nV -86.776906 1627.795961\nV -697.137822 1711.859527\nV 242.670614 1761.960197\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "188.7 G (18.87 mT) (vortex-MgB2-1887G.txt)"
    },
    {
     "label": "B",
     "value": "50.8 G (5.08 mT) (vortex-MgB2-508G.txt)"
    },
    {
     "label": "C",
     "value": "117.3 G (11.73 mT) (vortex-MgB2-1173G.txt)"
    },
    {
     "label": "D",
     "value": "56.1 G (5.61 mT) (vortex-MgB2-561G.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-DES-SANS",
   "family": "vortex_design",
   "ability": "design",
   "question": "The four files list the vortex centres (nm) in model images of the Abrikosov vortex lattice of an MgB2 crystal at four applied fields (files named by field). Model conditions: the only measured input is the applied magnetic field of each image reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. You must choose one applied field such that the first-order small-angle-neutron-scattering Bragg peak of the vortex lattice (q = 4π sinθ/λ) is closest to 20 μm⁻¹. Which field should you choose?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-508G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-508G), nanometres\nV 286.605652 -3415.917350\nV -1517.017635 -3223.250280\nV -333.709154 -3123.967170\nV 849.599327 -3024.684060\nV 2032.907808 -2925.400950\nV -954.023959 -2832.016990\nV 229.284522 -2732.733880\nV 1412.593002 -2633.450770\nV -1574.338765 -2540.066810\nV -391.030284 -2440.783700\nV 792.278197 -2341.500590\nV -2194.653571 -2248.116630\nV 1975.586678 -2242.217480\nV -1011.345090 -2148.833520\nV 171.963391 -2049.550410\nV -2814.968376 -1956.166450\nV 1355.271872 -1950.267300\nV -1631.659895 -1856.883340\nV 2538.580353 -1850.984190\nV -448.351414 -1757.600230\nV 734.957066 -1658.317120\nV -2251.974701 -1564.933160\nV 1918.265547 -1559.034010\nV -1068.666220 -1465.650050\nV 3101.574028 -1459.750900\nV 114.642261 -1366.366940\nV -2872.289507 -1272.982980\nV 1297.950742 -1267.083830\nV -1688.981026 -1173.699870\nV 2481.259223 -1167.800720\nV -505.672545 -1074.416760\nV 677.635936 -975.133650\nV -2309.295831 -881.749690\nV 1860.944417 -875.850540\nV -1125.987351 -782.466580\nV 3044.252898 -776.567430\nV 57.321130 -683.183470\nV -2929.610637 -589.799510\nV 1240.629611 -583.900360\nV -1746.302156 -490.516400\nV 2423.938092 -484.617250\nV -562.993675 -391.233290\nV -3549.925443 -297.849331\nV 620.314806 -291.950180\nV -2366.616962 -198.566220\nV 1803.623287 -192.667070\nV -1183.308481 -99.283110\nV 2986.931767 -93.383960\nV 0.000000 0.000000\nV -2986.931767 93.383960\nV 1183.308481 99.283110\nV -1803.623287 192.667070\nV 2366.616962 198.566220\nV -620.314806 291.950180\nV 3549.925443 297.849331\nV 562.993675 391.233290\nV -2423.938092 484.617250\nV 1746.302156 490.516400\nV -1240.629611 583.900360\nV 2929.610637 589.799510\nV -57.321130 683.183470\nV -3044.252898 776.567430\nV 1125.987351 782.466580\nV -1860.944417 875.850540\nV 2309.295831 881.749690\nV -677.635936 975.133650\nV 505.672545 1074.416760\nV -2481.259223 1167.800720\nV 1688.981026 1173.699870\nV -1297.950742 1267.083830\nV 2872.289507 1272.982980\nV -114.642261 1366.366940\nV -3101.574028 1459.750900\nV 1068.666220 1465.650050\nV -1918.265547 1559.034010\nV 2251.974701 1564.933160\nV -734.957066 1658.317120\nV 448.351414 1757.600230\nV -2538.580353 1850.984190\nV 1631.659895 1856.883340\nV -1355.271872 1950.267300\nV 2814.968376 1956.166450\nV -171.963391 2049.550410\nV 1011.345090 2148.833520\nV -1975.586678 2242.217480\nV 2194.653571 2248.116630\nV -792.278197 2341.500590\nV 391.030284 2440.783700\nV 1574.338765 2540.066810\nV -1412.593002 2633.450770\nV -229.284522 2732.733880\nV 954.023959 2832.016990\nV -2032.907808 2925.400950\nV -849.599327 3024.684060\nV 333.709154 3123.967170\nV 1517.017635 3223.250280\nV -286.605652 3415.917350\n"
    },
    {
     "name": "vortex-MgB2-561G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-561G), nanometres\nV 251.314102 -3380.618935\nV -1417.072625 -2938.096000\nV -766.472207 -2889.730579\nV -115.871790 -2841.365157\nV 534.728627 -2792.999735\nV 1185.329045 -2744.634314\nV 1835.929462 -2696.268892\nV -1784.258517 -2398.842222\nV -1133.658100 -2350.476800\nV -483.057683 -2302.111379\nV 167.542735 -2253.745957\nV 818.143152 -2205.380535\nV 1468.743570 -2157.015114\nV 2119.343987 -2108.649692\nV -2802.044827 -1907.953865\nV -2151.444410 -1859.588443\nV -1500.843992 -1811.223022\nV -850.243575 -1762.857600\nV -199.643158 -1714.492179\nV 450.957260 -1666.126757\nV 1101.557677 -1617.761335\nV 1752.158095 -1569.395914\nV 2402.758512 -1521.030492\nV 3053.358930 -1472.665071\nV -2518.630302 -1320.334665\nV -1868.029885 -1271.969243\nV -1217.429467 -1223.603822\nV -566.829050 -1175.238400\nV 83.771367 -1126.872978\nV 734.371785 -1078.507557\nV 1384.972202 -1030.142135\nV 2035.572620 -981.776714\nV 2686.173037 -933.411292\nV -2885.816195 -781.080886\nV -2235.215777 -732.715465\nV -1584.615360 -684.350043\nV -934.014942 -635.984622\nV -283.414525 -587.619200\nV 367.185892 -539.253778\nV 1017.786310 -490.888357\nV 1668.386727 -442.522935\nV 2318.987145 -394.157514\nV 2969.587562 -345.792092\nV -3253.002087 -241.827108\nV -2602.401670 -193.461686\nV -1951.801252 -145.096265\nV -1301.200835 -96.730843\nV -650.600417 -48.365422\nV 0.000000 -0.000000\nV 650.600417 48.365422\nV 1301.200835 96.730843\nV 1951.801252 145.096265\nV 2602.401670 193.461686\nV 3253.002087 241.827108\nV -2969.587562 345.792092\nV -2318.987145 394.157514\nV -1668.386727 442.522935\nV -1017.786310 490.888357\nV -367.185892 539.253778\nV 283.414525 587.619200\nV 934.014942 635.984622\nV 1584.615360 684.350043\nV 2235.215777 732.715465\nV 2885.816195 781.080886\nV -2686.173037 933.411292\nV -2035.572620 981.776714\nV -1384.972202 1030.142135\nV -734.371785 1078.507557\nV -83.771367 1126.872978\nV 566.829050 1175.238400\nV 1217.429467 1223.603822\nV 1868.029885 1271.969243\nV 2518.630302 1320.334665\nV -3053.358930 1472.665071\nV -2402.758512 1521.030492\nV -1752.158095 1569.395914\nV -1101.557677 1617.761335\nV -450.957260 1666.126757\nV 199.643158 1714.492179\nV 850.243575 1762.857600\nV 1500.843992 1811.223022\nV 2151.444410 1859.588443\nV 2802.044827 1907.953865\nV -2119.343987 2108.649692\nV -1468.743570 2157.015114\nV -818.143152 2205.380535\nV -167.542735 2253.745957\nV 483.057683 2302.111379\nV 1133.658100 2350.476800\nV 1784.258517 2398.842222\nV -1835.929462 2696.268892\nV -1185.329045 2744.634314\nV -534.728627 2792.999735\nV 115.871790 2841.365157\nV 766.472207 2889.730579\nV 1417.072625 2938.096000\nV -251.314102 3380.618935\n"
    },
    {
     "name": "vortex-MgB2-1173G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1173G), nanometres\nV -264.500251 -2329.397067\nV 900.314811 -2068.421965\nV 452.022136 -2017.518868\nV 3.729462 -1966.615771\nV -444.563213 -1915.712674\nV -892.855888 -1864.809577\nV -1341.148562 -1813.906480\nV 1168.544523 -1705.640669\nV 720.251849 -1654.737572\nV 271.959174 -1603.834475\nV -176.333501 -1552.931378\nV -624.626175 -1502.028281\nV -1072.918850 -1451.125184\nV -1521.211524 -1400.222087\nV 1885.066910 -1393.762470\nV 1436.774236 -1342.859373\nV 988.481561 -1291.956276\nV 540.188886 -1241.053179\nV 91.896212 -1190.150082\nV -356.396463 -1139.246985\nV -804.689137 -1088.343888\nV -1252.981812 -1037.440791\nV -1701.274486 -986.537694\nV 1705.003948 -980.078077\nV -2149.567161 -935.634597\nV 1256.711273 -929.174980\nV 808.418599 -878.271883\nV 360.125924 -827.368786\nV -88.166750 -776.465689\nV -536.459425 -725.562592\nV -984.752099 -674.659495\nV -1433.044774 -623.756398\nV 1973.233660 -617.296781\nV -1881.337449 -572.853301\nV 1524.940986 -566.393684\nV 1076.648311 -515.490587\nV 628.355637 -464.587490\nV 180.062962 -413.684393\nV -268.229712 -362.781296\nV -716.522387 -311.878199\nV -1164.815062 -260.975102\nV 2241.463373 -254.515485\nV -1613.107736 -210.072005\nV 1793.170698 -203.612388\nV -2061.400411 -159.168908\nV 1344.878024 -152.709291\nV 896.585349 -101.806194\nV 448.292675 -50.903097\nV -0.000000 0.000000\nV -448.292675 50.903097\nV -896.585349 101.806194\nV -1344.878024 152.709291\nV 2061.400411 159.168908\nV -1793.170698 203.612388\nV 1613.107736 210.072005\nV -2241.463373 254.515485\nV 1164.815062 260.975102\nV 716.522387 311.878199\nV 268.229712 362.781296\nV -180.062962 413.684393\nV -628.355637 464.587490\nV -1076.648311 515.490587\nV -1524.940986 566.393684\nV 1881.337449 572.853301\nV -1973.233660 617.296781\nV 1433.044774 623.756398\nV 984.752099 674.659495\nV 536.459425 725.562592\nV 88.166750 776.465689\nV -360.125924 827.368786\nV -808.418599 878.271883\nV -1256.711273 929.174980\nV 2149.567161 935.634597\nV -1705.003948 980.078077\nV 1701.274486 986.537694\nV 1252.981812 1037.440791\nV 804.689137 1088.343888\nV 356.396463 1139.246985\nV -91.896212 1190.150082\nV -540.188886 1241.053179\nV -988.481561 1291.956276\nV -1436.774236 1342.859373\nV -1885.066910 1393.762470\nV 1521.211524 1400.222087\nV 1072.918850 1451.125184\nV 624.626175 1502.028281\nV 176.333501 1552.931378\nV -271.959174 1603.834475\nV -720.251849 1654.737572\nV -1168.544523 1705.640669\nV 1341.148562 1813.906480\nV 892.855888 1864.809577\nV 444.563213 1915.712674\nV -3.729462 1966.615771\nV -452.022136 2017.518868\nV -900.314811 2068.421965\nV 264.500251 2329.397067\n"
    },
    {
     "name": "vortex-MgB2-1887G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1887G), nanometres\nV -242.670614 -1761.960197\nV 697.137822 -1711.859527\nV 86.776906 -1627.795961\nV -523.584011 -1543.732394\nV 416.224425 -1493.631724\nV -1133.944927 -1459.668828\nV -194.136491 -1409.568158\nV 745.671945 -1359.467488\nV -804.497408 -1325.504591\nV 135.311028 -1275.403921\nV 1075.119465 -1225.303251\nV -475.049888 -1191.340355\nV 464.758548 -1141.239685\nV -1085.410804 -1107.276788\nV 1404.566984 -1091.139015\nV -145.602368 -1057.176118\nV 794.206068 -1007.075448\nV -755.963285 -973.112552\nV 183.845151 -923.011882\nV -1366.324201 -889.048985\nV 1123.653587 -872.911212\nV -426.515765 -838.948315\nV 513.292671 -788.847645\nV -1036.876682 -754.884749\nV 1453.101107 -738.746976\nV -97.068246 -704.784079\nV -1647.237598 -670.821182\nV 842.740191 -654.683409\nV -707.429162 -620.720512\nV 232.379274 -570.619842\nV -1317.790079 -536.656946\nV 1172.187710 -520.519173\nV -377.981642 -486.556276\nV 561.826794 -436.455606\nV -988.342559 -402.492709\nV 1501.635230 -386.354936\nV -48.534123 -352.392039\nV -1598.703475 -318.429143\nV 891.274313 -302.291370\nV -658.895039 -268.328473\nV 1831.082749 -252.190700\nV 280.913397 -218.227803\nV -1269.255956 -184.264906\nV 1220.721833 -168.127133\nV -329.447520 -134.164236\nV 610.360916 -84.063567\nV -939.808436 -50.100670\nV 1550.169353 -33.962897\nV 0.000000 -0.000000\nV -1550.169353 33.962897\nV 939.808436 50.100670\nV -610.360916 84.063567\nV 329.447520 134.164236\nV -1220.721833 168.127133\nV 1269.255956 184.264906\nV -280.913397 218.227803\nV -1831.082749 252.190700\nV 658.895039 268.328473\nV -891.274313 302.291370\nV 1598.703475 318.429143\nV 48.534123 352.392039\nV -1501.635230 386.354936\nV 988.342559 402.492709\nV -561.826794 436.455606\nV 377.981642 486.556276\nV -1172.187710 520.519173\nV 1317.790079 536.656946\nV -232.379274 570.619842\nV 707.429162 620.720512\nV -842.740191 654.683409\nV 1647.237598 670.821182\nV 97.068246 704.784079\nV -1453.101107 738.746976\nV 1036.876682 754.884749\nV -513.292671 788.847645\nV 426.515765 838.948315\nV -1123.653587 872.911212\nV 1366.324201 889.048985\nV -183.845151 923.011882\nV 755.963285 973.112552\nV -794.206068 1007.075448\nV 145.602368 1057.176118\nV -1404.566984 1091.139015\nV 1085.410804 1107.276788\nV -464.758548 1141.239685\nV 475.049888 1191.340355\nV -1075.119465 1225.303251\nV -135.311028 1275.403921\nV 804.497408 1325.504591\nV -745.671945 1359.467488\nV 194.136491 1409.568158\nV 1133.944927 1459.668828\nV -416.224425 1493.631724\nV 523.584011 1543.732394\nV -86.776906 1627.795961\nV -697.137822 1711.859527\nV 242.670614 1761.960197\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "50.8 G (5.08 mT) (vortex-MgB2-508G.txt)"
    },
    {
     "label": "B",
     "value": "117.3 G (11.73 mT) (vortex-MgB2-1173G.txt)"
    },
    {
     "label": "C",
     "value": "56.1 G (5.61 mT) (vortex-MgB2-561G.txt)"
    },
    {
     "label": "D",
     "value": "188.7 G (18.87 mT) (vortex-MgB2-1887G.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-VX-DES-DENSITY",
   "family": "vortex_design",
   "ability": "design",
   "question": "The four files list the vortex centres (nm) in model images of the Abrikosov vortex lattice of an MgB2 crystal at four applied fields (files named by field). Model conditions: the only measured input is the applied magnetic field of each image reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. You must choose one applied field such that the field is as low as possible while the areal vortex density is at least 4 vortices per square micrometre. Which field should you choose?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "inputs": [
    {
     "name": "vortex-MgB2-508G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-508G), nanometres\nV 286.605652 -3415.917350\nV -1517.017635 -3223.250280\nV -333.709154 -3123.967170\nV 849.599327 -3024.684060\nV 2032.907808 -2925.400950\nV -954.023959 -2832.016990\nV 229.284522 -2732.733880\nV 1412.593002 -2633.450770\nV -1574.338765 -2540.066810\nV -391.030284 -2440.783700\nV 792.278197 -2341.500590\nV -2194.653571 -2248.116630\nV 1975.586678 -2242.217480\nV -1011.345090 -2148.833520\nV 171.963391 -2049.550410\nV -2814.968376 -1956.166450\nV 1355.271872 -1950.267300\nV -1631.659895 -1856.883340\nV 2538.580353 -1850.984190\nV -448.351414 -1757.600230\nV 734.957066 -1658.317120\nV -2251.974701 -1564.933160\nV 1918.265547 -1559.034010\nV -1068.666220 -1465.650050\nV 3101.574028 -1459.750900\nV 114.642261 -1366.366940\nV -2872.289507 -1272.982980\nV 1297.950742 -1267.083830\nV -1688.981026 -1173.699870\nV 2481.259223 -1167.800720\nV -505.672545 -1074.416760\nV 677.635936 -975.133650\nV -2309.295831 -881.749690\nV 1860.944417 -875.850540\nV -1125.987351 -782.466580\nV 3044.252898 -776.567430\nV 57.321130 -683.183470\nV -2929.610637 -589.799510\nV 1240.629611 -583.900360\nV -1746.302156 -490.516400\nV 2423.938092 -484.617250\nV -562.993675 -391.233290\nV -3549.925443 -297.849331\nV 620.314806 -291.950180\nV -2366.616962 -198.566220\nV 1803.623287 -192.667070\nV -1183.308481 -99.283110\nV 2986.931767 -93.383960\nV 0.000000 0.000000\nV -2986.931767 93.383960\nV 1183.308481 99.283110\nV -1803.623287 192.667070\nV 2366.616962 198.566220\nV -620.314806 291.950180\nV 3549.925443 297.849331\nV 562.993675 391.233290\nV -2423.938092 484.617250\nV 1746.302156 490.516400\nV -1240.629611 583.900360\nV 2929.610637 589.799510\nV -57.321130 683.183470\nV -3044.252898 776.567430\nV 1125.987351 782.466580\nV -1860.944417 875.850540\nV 2309.295831 881.749690\nV -677.635936 975.133650\nV 505.672545 1074.416760\nV -2481.259223 1167.800720\nV 1688.981026 1173.699870\nV -1297.950742 1267.083830\nV 2872.289507 1272.982980\nV -114.642261 1366.366940\nV -3101.574028 1459.750900\nV 1068.666220 1465.650050\nV -1918.265547 1559.034010\nV 2251.974701 1564.933160\nV -734.957066 1658.317120\nV 448.351414 1757.600230\nV -2538.580353 1850.984190\nV 1631.659895 1856.883340\nV -1355.271872 1950.267300\nV 2814.968376 1956.166450\nV -171.963391 2049.550410\nV 1011.345090 2148.833520\nV -1975.586678 2242.217480\nV 2194.653571 2248.116630\nV -792.278197 2341.500590\nV 391.030284 2440.783700\nV 1574.338765 2540.066810\nV -1412.593002 2633.450770\nV -229.284522 2732.733880\nV 954.023959 2832.016990\nV -2032.907808 2925.400950\nV -849.599327 3024.684060\nV 333.709154 3123.967170\nV 1517.017635 3223.250280\nV -286.605652 3415.917350\n"
    },
    {
     "name": "vortex-MgB2-561G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-561G), nanometres\nV 251.314102 -3380.618935\nV -1417.072625 -2938.096000\nV -766.472207 -2889.730579\nV -115.871790 -2841.365157\nV 534.728627 -2792.999735\nV 1185.329045 -2744.634314\nV 1835.929462 -2696.268892\nV -1784.258517 -2398.842222\nV -1133.658100 -2350.476800\nV -483.057683 -2302.111379\nV 167.542735 -2253.745957\nV 818.143152 -2205.380535\nV 1468.743570 -2157.015114\nV 2119.343987 -2108.649692\nV -2802.044827 -1907.953865\nV -2151.444410 -1859.588443\nV -1500.843992 -1811.223022\nV -850.243575 -1762.857600\nV -199.643158 -1714.492179\nV 450.957260 -1666.126757\nV 1101.557677 -1617.761335\nV 1752.158095 -1569.395914\nV 2402.758512 -1521.030492\nV 3053.358930 -1472.665071\nV -2518.630302 -1320.334665\nV -1868.029885 -1271.969243\nV -1217.429467 -1223.603822\nV -566.829050 -1175.238400\nV 83.771367 -1126.872978\nV 734.371785 -1078.507557\nV 1384.972202 -1030.142135\nV 2035.572620 -981.776714\nV 2686.173037 -933.411292\nV -2885.816195 -781.080886\nV -2235.215777 -732.715465\nV -1584.615360 -684.350043\nV -934.014942 -635.984622\nV -283.414525 -587.619200\nV 367.185892 -539.253778\nV 1017.786310 -490.888357\nV 1668.386727 -442.522935\nV 2318.987145 -394.157514\nV 2969.587562 -345.792092\nV -3253.002087 -241.827108\nV -2602.401670 -193.461686\nV -1951.801252 -145.096265\nV -1301.200835 -96.730843\nV -650.600417 -48.365422\nV 0.000000 -0.000000\nV 650.600417 48.365422\nV 1301.200835 96.730843\nV 1951.801252 145.096265\nV 2602.401670 193.461686\nV 3253.002087 241.827108\nV -2969.587562 345.792092\nV -2318.987145 394.157514\nV -1668.386727 442.522935\nV -1017.786310 490.888357\nV -367.185892 539.253778\nV 283.414525 587.619200\nV 934.014942 635.984622\nV 1584.615360 684.350043\nV 2235.215777 732.715465\nV 2885.816195 781.080886\nV -2686.173037 933.411292\nV -2035.572620 981.776714\nV -1384.972202 1030.142135\nV -734.371785 1078.507557\nV -83.771367 1126.872978\nV 566.829050 1175.238400\nV 1217.429467 1223.603822\nV 1868.029885 1271.969243\nV 2518.630302 1320.334665\nV -3053.358930 1472.665071\nV -2402.758512 1521.030492\nV -1752.158095 1569.395914\nV -1101.557677 1617.761335\nV -450.957260 1666.126757\nV 199.643158 1714.492179\nV 850.243575 1762.857600\nV 1500.843992 1811.223022\nV 2151.444410 1859.588443\nV 2802.044827 1907.953865\nV -2119.343987 2108.649692\nV -1468.743570 2157.015114\nV -818.143152 2205.380535\nV -167.542735 2253.745957\nV 483.057683 2302.111379\nV 1133.658100 2350.476800\nV 1784.258517 2398.842222\nV -1835.929462 2696.268892\nV -1185.329045 2744.634314\nV -534.728627 2792.999735\nV 115.871790 2841.365157\nV 766.472207 2889.730579\nV 1417.072625 2938.096000\nV -251.314102 3380.618935\n"
    },
    {
     "name": "vortex-MgB2-1173G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1173G), nanometres\nV -264.500251 -2329.397067\nV 900.314811 -2068.421965\nV 452.022136 -2017.518868\nV 3.729462 -1966.615771\nV -444.563213 -1915.712674\nV -892.855888 -1864.809577\nV -1341.148562 -1813.906480\nV 1168.544523 -1705.640669\nV 720.251849 -1654.737572\nV 271.959174 -1603.834475\nV -176.333501 -1552.931378\nV -624.626175 -1502.028281\nV -1072.918850 -1451.125184\nV -1521.211524 -1400.222087\nV 1885.066910 -1393.762470\nV 1436.774236 -1342.859373\nV 988.481561 -1291.956276\nV 540.188886 -1241.053179\nV 91.896212 -1190.150082\nV -356.396463 -1139.246985\nV -804.689137 -1088.343888\nV -1252.981812 -1037.440791\nV -1701.274486 -986.537694\nV 1705.003948 -980.078077\nV -2149.567161 -935.634597\nV 1256.711273 -929.174980\nV 808.418599 -878.271883\nV 360.125924 -827.368786\nV -88.166750 -776.465689\nV -536.459425 -725.562592\nV -984.752099 -674.659495\nV -1433.044774 -623.756398\nV 1973.233660 -617.296781\nV -1881.337449 -572.853301\nV 1524.940986 -566.393684\nV 1076.648311 -515.490587\nV 628.355637 -464.587490\nV 180.062962 -413.684393\nV -268.229712 -362.781296\nV -716.522387 -311.878199\nV -1164.815062 -260.975102\nV 2241.463373 -254.515485\nV -1613.107736 -210.072005\nV 1793.170698 -203.612388\nV -2061.400411 -159.168908\nV 1344.878024 -152.709291\nV 896.585349 -101.806194\nV 448.292675 -50.903097\nV -0.000000 0.000000\nV -448.292675 50.903097\nV -896.585349 101.806194\nV -1344.878024 152.709291\nV 2061.400411 159.168908\nV -1793.170698 203.612388\nV 1613.107736 210.072005\nV -2241.463373 254.515485\nV 1164.815062 260.975102\nV 716.522387 311.878199\nV 268.229712 362.781296\nV -180.062962 413.684393\nV -628.355637 464.587490\nV -1076.648311 515.490587\nV -1524.940986 566.393684\nV 1881.337449 572.853301\nV -1973.233660 617.296781\nV 1433.044774 623.756398\nV 984.752099 674.659495\nV 536.459425 725.562592\nV 88.166750 776.465689\nV -360.125924 827.368786\nV -808.418599 878.271883\nV -1256.711273 929.174980\nV 2149.567161 935.634597\nV -1705.003948 980.078077\nV 1701.274486 986.537694\nV 1252.981812 1037.440791\nV 804.689137 1088.343888\nV 356.396463 1139.246985\nV -91.896212 1190.150082\nV -540.188886 1241.053179\nV -988.481561 1291.956276\nV -1436.774236 1342.859373\nV -1885.066910 1393.762470\nV 1521.211524 1400.222087\nV 1072.918850 1451.125184\nV 624.626175 1502.028281\nV 176.333501 1552.931378\nV -271.959174 1603.834475\nV -720.251849 1654.737572\nV -1168.544523 1705.640669\nV 1341.148562 1813.906480\nV 892.855888 1864.809577\nV 444.563213 1915.712674\nV -3.729462 1966.615771\nV -452.022136 2017.518868\nV -900.314811 2068.421965\nV 264.500251 2329.397067\n"
    },
    {
     "name": "vortex-MgB2-1887G.txt",
     "format": "vortex-map",
     "unit": "nm",
     "text": "97\nVortex centres of a model Abrikosov lattice (MgB2-1887G), nanometres\nV -242.670614 -1761.960197\nV 697.137822 -1711.859527\nV 86.776906 -1627.795961\nV -523.584011 -1543.732394\nV 416.224425 -1493.631724\nV -1133.944927 -1459.668828\nV -194.136491 -1409.568158\nV 745.671945 -1359.467488\nV -804.497408 -1325.504591\nV 135.311028 -1275.403921\nV 1075.119465 -1225.303251\nV -475.049888 -1191.340355\nV 464.758548 -1141.239685\nV -1085.410804 -1107.276788\nV 1404.566984 -1091.139015\nV -145.602368 -1057.176118\nV 794.206068 -1007.075448\nV -755.963285 -973.112552\nV 183.845151 -923.011882\nV -1366.324201 -889.048985\nV 1123.653587 -872.911212\nV -426.515765 -838.948315\nV 513.292671 -788.847645\nV -1036.876682 -754.884749\nV 1453.101107 -738.746976\nV -97.068246 -704.784079\nV -1647.237598 -670.821182\nV 842.740191 -654.683409\nV -707.429162 -620.720512\nV 232.379274 -570.619842\nV -1317.790079 -536.656946\nV 1172.187710 -520.519173\nV -377.981642 -486.556276\nV 561.826794 -436.455606\nV -988.342559 -402.492709\nV 1501.635230 -386.354936\nV -48.534123 -352.392039\nV -1598.703475 -318.429143\nV 891.274313 -302.291370\nV -658.895039 -268.328473\nV 1831.082749 -252.190700\nV 280.913397 -218.227803\nV -1269.255956 -184.264906\nV 1220.721833 -168.127133\nV -329.447520 -134.164236\nV 610.360916 -84.063567\nV -939.808436 -50.100670\nV 1550.169353 -33.962897\nV 0.000000 -0.000000\nV -1550.169353 33.962897\nV 939.808436 50.100670\nV -610.360916 84.063567\nV 329.447520 134.164236\nV -1220.721833 168.127133\nV 1269.255956 184.264906\nV -280.913397 218.227803\nV -1831.082749 252.190700\nV 658.895039 268.328473\nV -891.274313 302.291370\nV 1598.703475 318.429143\nV 48.534123 352.392039\nV -1501.635230 386.354936\nV 988.342559 402.492709\nV -561.826794 436.455606\nV 377.981642 486.556276\nV -1172.187710 520.519173\nV 1317.790079 536.656946\nV -232.379274 570.619842\nV 707.429162 620.720512\nV -842.740191 654.683409\nV 1647.237598 670.821182\nV 97.068246 704.784079\nV -1453.101107 738.746976\nV 1036.876682 754.884749\nV -513.292671 788.847645\nV 426.515765 838.948315\nV -1123.653587 872.911212\nV 1366.324201 889.048985\nV -183.845151 923.011882\nV 755.963285 973.112552\nV -794.206068 1007.075448\nV 145.602368 1057.176118\nV -1404.566984 1091.139015\nV 1085.410804 1107.276788\nV -464.758548 1141.239685\nV 475.049888 1191.340355\nV -1075.119465 1225.303251\nV -135.311028 1275.403921\nV 804.497408 1325.504591\nV -745.671945 1359.467488\nV 194.136491 1409.568158\nV 1133.944927 1459.668828\nV -416.224425 1493.631724\nV 523.584011 1543.732394\nV -86.776906 1627.795961\nV -697.137822 1711.859527\nV 242.670614 1761.960197\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "117.3 G (11.73 mT) (vortex-MgB2-1173G.txt)"
    },
    {
     "label": "B",
     "value": "188.7 G (18.87 mT) (vortex-MgB2-1887G.txt)"
    },
    {
     "label": "C",
     "value": "50.8 G (5.08 mT) (vortex-MgB2-508G.txt)"
    },
    {
     "label": "D",
     "value": "56.1 G (5.61 mT) (vortex-MgB2-561G.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-PITCH-R5011",
   "family": "cholesteric_geometry",
   "ability": "perception",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. What is the helical pitch p (the distance along the helix axis over which the director rotates by 360°), in nm?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.62 wt% R5011); site x y z (nm) nx ny nz (unit director)\nsite -0.000000 -0.000000 0.000000 -0.85094112 0.52519507 -0.00832744\nsite -2.520419 -4.060371 1.469990 -0.86065910 0.50066218 -0.09275389\nsite -5.040838 -8.120743 2.939980 -0.86364318 0.47221205 -0.17645462\nsite -7.561258 -12.181114 4.409970 -0.85987001 0.44006727 -0.25877474\nsite -10.081677 -16.241486 5.879960 -0.84936910 0.40447935 -0.33907018\nsite -12.602096 -20.301857 7.349950 -0.83222262 0.36572673 -0.41671269\nsite -15.122515 -24.362229 8.819940 -0.80856473 0.32411261 -0.49109479\nsite -17.642934 -28.422600 10.289930 -0.77858052 0.27996260 -0.56163450\nsite -20.163354 -32.482972 11.759920 -0.74250460 0.23362213 -0.62777991\nsite -22.683773 -36.543343 13.229910 -0.70061923 0.18545377 -0.68901350\nsite -25.204192 -40.603715 14.699900 -0.65325212 0.13583439 -0.74485615\nsite -27.724611 -44.664086 16.169890 -0.60077389 0.08515223 -0.79487095\nsite 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "177.53",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "355.05",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "592.72",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "710.10",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-HAND-S5011",
   "family": "cholesteric_geometry",
   "ability": "perception",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. A helix is right-handed if, with the right thumb pointing along the direction of travel along the helix axis, the director turns in the sense of the curled fingers; otherwise it is left-handed. What are the handedness and the helical pitch p (the distance over which the director rotates by 360°) of this helix?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-S5011-2.57wt.txt",
     "format": "director-field",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "right-handed, pitch 362.0 nm"
    },
    {
     "label": "B",
     "value": "left-handed, pitch 181.0 nm"
    },
    {
     "label": "C",
     "value": "left-handed, pitch 362.0 nm"
    },
    {
     "label": "D",
     "value": "right-handed, pitch 181.0 nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-PITCH-LRCD",
   "family": "cholesteric_geometry",
   "ability": "perception",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for this cholesteric polymer coating, converted to a pitch with the paper's average refractive index of 1.6; the director twists uniformly about a straight helix axis with no defects, which is the idealization behind the paper's relation λ = n·p. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. What is the helical pitch p (the distance along the helix axis over which the director rotates by 360°), in nm?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-LRCD-coating.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (reactive mesogen + 5.6 wt% LRCD); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 0.000000 0.000000 -0.30809427 0.13293579 0.94202229\nsite 3.758745 3.204357 0.777130 -0.35092909 0.18922990 0.91708278\nsite 7.517490 6.408714 1.554261 -0.39178964 0.24445943 0.88698391\nsite 11.276236 9.613071 2.331391 -0.43044604 0.29831368 0.85189503\nsite 15.034981 12.817427 3.108522 -0.46668084 0.35048967 0.81201354\nsite 18.793726 16.021784 3.885652 -0.50029017 0.40069386 0.76756380\nsite 22.552471 19.226141 4.662782 -0.53108495 0.44864381 0.71879587\nsite 26.311216 22.430498 5.439913 -0.55889194 0.49406978 0.66598413\nsite 30.069962 25.634855 6.217043 -0.58355469 0.53671619 0.60942567\nsite 33.828707 28.839212 6.994173 -0.60493448 0.57634313 0.54943869\nsite 37.587452 32.043569 7.771304 -0.62291100 0.61272766 0.48636066\nsite 41.346197 35.247925 8.548434 -0.63738314 0.64566510 0.42054645\nsite 45.104942 38.452282 9.325565 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    }
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   "options": [
    {
     "label": "A",
     "value": "209.37",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "418.75",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "670.00",
     "unit": "nm"
    },
    {
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     "value": "837.50",
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    }
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   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-LAMBDA-R5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the central wavelength λc of the selective (Bragg) reflection band, in nm? Use the average refractive index (ne + no)/2 of the host and its birefringence ne − no.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "296.4",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "355.1",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "549.8",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "592.7",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-BAND-R5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the width Δλ of the selective (Bragg) reflection band, in nm? Use the average refractive index (ne + no)/2 of the host and its birefringence ne − no.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "43.0",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "51.5",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "85.9",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "592.7",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-HTP-S5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. The film contains 2.57 wt% of the chiral dopant. What is the helical twisting power HTP = 1/(p·c) of the dopant in this host (c as a weight fraction), in μm⁻¹?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-S5011-2.57wt.txt",
     "format": "director-field",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.1",
     "unit": "um^-1"
    },
    {
     "label": "B",
     "value": "53.8",
     "unit": "um^-1"
    },
    {
     "label": "C",
     "value": "107.5",
     "unit": "um^-1"
    },
    {
     "label": "D",
     "value": "215.0",
     "unit": "um^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-LAMBDA-RRCD",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for this cholesteric polymer coating, converted to a pitch with the paper's average refractive index of 1.6; the director twists uniformly about a straight helix axis with no defects, which is the idealization behind the paper's relation λ = n·p. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the central wavelength λc of the selective (Bragg) reflection band, in nm? Use the average refractive index 1.6.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-RRCD-coating.txt",
     "format": "director-field",
     "unit": "nm",
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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "376.9",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "565.3",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "603.0",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "659.5",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-DES-550",
   "family": "cholesteric_design",
   "ability": "design",
   "question": "The four files list the director fields of four model cholesteric liquid-crystal films (files named by composition; columns site x y z in nm and the unit director nx ny nz, n equivalent to −n). Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. For the E44 films use the average refractive index (ne + no)/2 of E44. You must choose one film such that its normal-incidence reflection band is centred as close as possible to 550 nm. Which film should you choose?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.20wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.20 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 0.000000 0.000000 -0.93368361 0.35295491 -0.06047924\nsite 1.730684 4.664088 0.501017 -0.93792081 0.34659024 0.01340776\nsite 3.461369 9.328175 1.002034 -0.93698278 0.33831317 0.08722079\nsite 5.192053 13.992263 1.503051 -0.93087472 0.32816936 0.16055255\nsite 6.922737 18.656351 2.004068 -0.91963032 0.31621480 0.23299843\nsite 8.653421 23.320438 2.505085 -0.90331163 0.30251545 0.30415868\nsite 10.384106 27.984526 3.006102 -0.88200869 0.28714689 0.37364065\nsite 12.114790 32.648614 3.507119 -0.85583904 0.27019392 0.44106097\nsite 13.845474 37.312702 4.008136 -0.82494709 0.25175009 0.50604762\nsite 15.576158 41.976789 4.509152 -0.78950328 0.23191717 0.56824203\nsite 17.306843 46.640877 5.010169 -0.74970318 0.21080458 0.62730102\nsite 19.037527 51.304965 5.511186 -0.70576641 0.18852883 0.68289871\nsite 20.768211 55.969052 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122.749151 -0.69004812 0.32549426 -0.64644186\nsite 425.748331 1147.365572 123.250168 -0.73532723 0.33607317 -0.58851397\nsite 427.479015 1152.029659 123.751185 -0.77654899 0.34479772 -0.52733879\nsite 429.209700 1156.693747 124.252202 -0.81348594 0.35161976 -0.46325390\nsite 430.940384 1161.357835 124.753219 -0.84593428 0.35650164 -0.39661288\nsite 432.671068 1166.021922 125.254235 -0.87371496 0.35941644 -0.32778345\nsite 434.401752 1170.686010 125.755252 -0.89667470 0.36034807 -0.25714539\nsite 436.132437 1175.350098 126.256269 -0.91468681 0.35929139 -0.18508847\nsite 437.863121 1180.014185 126.757286 -0.92765190 0.35625222 -0.11201027\nsite 439.593805 1184.678273 127.258303 -0.93549844 0.35124735 -0.03831403\nsite 441.324489 1189.342361 127.759320 -0.93818313 0.34430437 0.03559362\nsite 443.055174 1194.006448 128.260337 -0.93569116 0.33546161 0.10930487\nsite 444.785858 1198.670536 128.761354 -0.92803628 0.32476786 0.18241300\nsite 446.516542 1203.334624 129.262371 -0.91526072 0.31228212 0.25451463\nsite 448.247227 1207.998712 129.763388 -0.89743498 0.29807328 0.32521190\nsite 449.977911 1212.662799 130.264405 -0.87465741 0.28221975 0.39411474\nsite 451.708595 1217.326887 130.765422 -0.84705370 0.26480900 0.46084294\nsite 453.439279 1221.990975 131.266439 -0.81477616 0.24593710 0.52502834\nsite 455.169964 1226.655062 131.767456 -0.77800288 0.22570818 0.58631675\nsite 456.900648 1231.319150 132.268473 -0.73693678 0.20423385 0.64437001\nsite 458.631332 1235.983238 132.769490 -0.69180444 0.18163262 0.69886780\nsite 460.362016 1240.647325 133.270507 -0.64285490 0.15802918 0.74950941\nsite 462.092701 1245.311413 133.771523 -0.59035824 0.13355377 0.79601541\nsite 463.823385 1249.975501 134.272540 -0.53460413 0.10834145 0.83812920\nsite 465.554069 1254.639588 134.773557 -0.47590021 0.08253133 0.87561839\nsite 467.284754 1259.303676 135.274574 -0.41457038 0.05626582 0.90827614\nsite 469.015438 1263.967764 135.775591 -0.35095307 0.02968985 0.93592225\nsite 470.746122 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517.474597 1394.562219 149.804066 0.93072711 -0.32798205 -0.16178635\nsite 519.205282 1399.226307 150.305083 0.91939629 -0.31599741 -0.23421379\n"
    },
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.62 wt% R5011); site x y z (nm) nx ny nz (unit director)\nsite -0.000000 -0.000000 0.000000 -0.85094112 0.52519507 -0.00832744\nsite -2.520419 -4.060371 1.469990 -0.86065910 0.50066218 -0.09275389\nsite -5.040838 -8.120743 2.939980 -0.86364318 0.47221205 -0.17645462\nsite -7.561258 -12.181114 4.409970 -0.85987001 0.44006727 -0.25877474\nsite -10.081677 -16.241486 5.879960 -0.84936910 0.40447935 -0.33907018\nsite -12.602096 -20.301857 7.349950 -0.83222262 0.36572673 -0.41671269\nsite -15.122515 -24.362229 8.819940 -0.80856473 0.32411261 -0.49109479\nsite -17.642934 -28.422600 10.289930 -0.77858052 0.27996260 -0.56163450\nsite -20.163354 -32.482972 11.759920 -0.74250460 0.23362213 -0.62777991\nsite -22.683773 -36.543343 13.229910 -0.70061923 0.18545377 -0.68901350\nsite -25.204192 -40.603715 14.699900 -0.65325212 0.13583439 -0.74485615\nsite -27.724611 -44.664086 16.169890 -0.60077389 0.08515223 -0.79487095\nsite 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0.19447884 0.95078333\nsite -133.582218 -215.199687 77.909472 0.16699865 0.24233731 0.95571130\nsite -136.102637 -219.260058 79.379462 0.09146663 0.28829970 0.95316165\nsite -138.623056 -223.320430 80.849452 0.01521898 0.33200640 0.94315435\nsite -141.143475 -227.380801 82.319442 -0.06114776 0.37311544 0.92576769\nsite -143.663894 -231.441173 83.789432 -0.13703606 0.41130517 0.90113771\nsite -146.184314 -235.501544 85.259422 -0.21185218 0.44627681 0.86945711\nsite -148.704733 -239.561916 86.729412 -0.28501074 0.47775671 0.83097377\nsite -151.225152 -243.622287 88.199402 -0.35593934 0.50549859 0.78598878\nsite -153.745571 -247.682659 89.669392 -0.42408303 0.52928538 0.73485412\nsite -156.265990 -251.743030 91.139383 -0.48890863 0.54893097 0.67796986\nsite -158.786410 -255.803402 92.609373 -0.54990895 0.56428166 0.61578109\nsite -161.306829 -259.863773 94.079363 -0.60660672 0.57521734 0.54877436\nsite -163.827248 -263.924144 95.549353 -0.65855832 0.58165245 0.47747395\nsite -166.347667 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    },
    {
     "name": "clc-E44-R5011-2.90wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.90 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 -0.000000 -0.000000 0.59739804 0.22341205 0.77019649\nsite 3.715142 -2.577600 -2.133938 0.56503394 0.14145169 0.81285181\nsite 7.430285 -5.155201 -4.267877 0.52725432 0.05813559 0.84771642\nsite 11.145427 -7.732801 -6.401815 0.48442128 -0.02573770 0.87445617\nsite 14.860570 -10.310401 -8.535753 0.43694535 -0.10936431 0.89281477\nsite 18.575712 -12.888002 -10.669692 0.38528155 -0.19194272 0.90261626\nsite 22.290855 -15.465602 -12.803630 0.32992505 -0.27268148 0.90376671\nsite 26.005997 -18.043202 -14.937569 0.27140642 -0.35080675 0.89625509\nsite 29.721140 -20.620803 -17.071507 0.21028651 -0.42556974 0.88015338\nsite 33.436282 -23.198403 -19.205445 0.14715114 -0.49625390 0.85561593\nsite 37.151425 -25.776003 -21.339384 0.08260540 -0.56218175 0.82287789\nsite 40.866567 -28.353604 -23.473322 0.01726794 -0.62272142 0.78225306\nsite 44.581710 -30.931204 -25.607260 -0.04823502 -0.67729267 0.73413079\nsite 48.296852 -33.508804 -27.741199 -0.11327567 -0.72537247 0.67897231\nsite 52.011995 -36.086405 -29.875137 -0.17723065 -0.76650001 0.61730628\nsite 55.727137 -38.664005 -32.009075 -0.23948698 -0.80028108 0.54972373\nsite 59.442280 -41.241605 -34.143014 -0.29944796 -0.82639194 0.47687240\nsite 63.157422 -43.819206 -36.276952 -0.35653891 -0.84458231 0.39945052\nsite 66.872565 -46.396806 -38.410891 -0.41021264 -0.85467786 0.31820016\nsite 70.587707 -48.974406 -40.544829 -0.45995473 -0.85658183 0.23390002\nsite 74.302849 -51.552007 -42.678767 -0.50528842 -0.85027596 0.14735810\nsite 78.017992 -54.129607 -44.812706 -0.54577922 -0.83582069 0.05940383\nsite 81.733134 -56.707207 -46.946644 -0.58103905 -0.81335457 -0.02911978\nsite 85.448277 -59.284808 -49.080582 -0.61072995 -0.78309293 -0.11736431\nsite 89.163419 -61.862408 -51.214521 -0.63456737 -0.74532581 -0.20448396\nsite 92.878562 -64.440008 -53.348459 -0.65232284 -0.70041517 -0.28964375\nsite 96.593704 -67.017609 -55.482397 -0.66382617 -0.64879147 -0.37202748\nsite 100.308847 -69.595209 -57.616336 -0.66896712 -0.59094948 -0.45084555\nsite 104.023989 -72.172809 -59.750274 -0.66769641 -0.52744358 -0.52534252\nsite 107.739132 -74.750409 -61.884213 -0.66002623 -0.45888245 -0.59480440\nsite 111.454274 -77.328010 -64.018151 -0.64603008 -0.38592320 -0.65856542\nsite 115.169417 -79.905610 -66.152089 -0.62584211 -0.30926511 -0.71601448\nsite 118.884559 -82.483210 -68.286028 -0.59965582 -0.22964289 -0.76660097\nsite 122.599702 -85.060811 -70.419966 -0.56772217 -0.14781968 -0.80984003\nsite 126.314844 -87.638411 -72.553904 -0.53034724 -0.06457970 -0.84531726\nsite 130.029987 -90.216011 -74.687843 -0.48788925 0.01927924 -0.87269261\nsite 133.745129 -92.793612 -76.821781 -0.44075512 0.10295339 -0.89170372\nsite 137.460272 -95.371212 -78.955719 -0.38939662 0.18564080 -0.90216837\nsite 141.175414 -97.948812 -81.089658 -0.33430597 0.26654895 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0.15417926 0.80678222\nsite 245.199403 -170.121622 -140.839932 0.53341002 0.07102013 0.84287003\nsite 248.914546 -172.699222 -142.973870 0.49132948 -0.01281968 0.87087944\nsite 252.629688 -175.276822 -145.107809 0.44453984 -0.09653662 0.89054197\nsite 256.344831 -177.854423 -147.241747 0.39348955 -0.17932832 0.90166919\nsite 260.059973 -180.432023 -149.375686 0.33866789 -0.26040126 0.90415444\nsite 263.775116 -183.009623 -151.509624 0.28060030 -0.33897841 0.89797389\nsite 267.490258 -185.587224 -153.643562 0.21984332 -0.41430665 0.88318680\nsite 271.205401 -188.164824 -155.777501 0.15697927 -0.48566400 0.85993488\nsite 274.920543 -190.742424 -157.911439 0.09261066 -0.55236655 0.82844098\nsite 278.635686 -193.320025 -160.045377 0.02735444 -0.61377499 0.78900697\nsite 282.350828 -195.897625 -162.179316 -0.03816396 -0.66930075 0.74201079\nsite 286.065971 -198.475225 -164.313254 -0.10331658 -0.71841167 0.68790287\nsite 289.781113 -201.052826 -166.447192 -0.16747897 -0.76063703 0.62720181\nsite 293.496256 -203.630426 -168.581131 -0.23003618 -0.79557213 0.56048939\nsite 297.211398 -206.208026 -170.715069 -0.29038862 -0.82288213 0.48840500\nsite 300.926540 -208.785627 -172.849008 -0.34795786 -0.84230530 0.41163954\nsite 304.641683 -211.363227 -174.982946 -0.40219212 -0.85365547 0.33092876\nsite 308.356825 -213.940827 -177.116884 -0.45257161 -0.85682385 0.24704622\nsite 312.071968 -216.518427 -179.250823 -0.49861347 -0.85178007 0.16079588\nsite 315.787110 -219.096028 -181.384761 -0.53987641 -0.83857249 0.07300442\nsite 319.502253 -221.673628 -183.518699 -0.57596496 -0.81732768 -0.01548676\nsite 323.217395 -224.251228 -185.652638 -0.60653321 -0.78824926 -0.10382950\nsite 326.932538 -226.828829 -187.786576 -0.63128821 -0.75161594 -0.19117709\nsite 330.647680 -229.406429 -189.920514 -0.64999267 -0.70777882 -0.27669237\nsite 334.362823 -231.984029 -192.054453 -0.66246734 -0.65715806 -0.35955571\nsite 338.077965 -234.561630 -194.188391 -0.66859265 -0.60023882 -0.43897292\nsite 341.793108 -237.139230 -196.322330 -0.66830989 -0.53756665 -0.51418284\nsite 345.508250 -239.716830 -198.456268 -0.66162177 -0.46974222 -0.58446461\nsite 349.223393 -242.294431 -200.590206 -0.64859240 -0.39741558 -0.64914464\nsite 352.938535 -244.872031 -202.724145 -0.62934665 -0.32127995 -0.70760299\nsite 356.653678 -247.449631 -204.858083 -0.60406898 -0.24206504 -0.75927938\nsite 360.368820 -250.027232 -206.992021 -0.57300167 -0.16053008 -0.80367853\nsite 364.083963 -252.604832 -209.125960 -0.53644247 -0.07745653 -0.84037490\nsite 367.799105 -255.182432 -211.259898 -0.49474178 0.00635940 -0.86901676\nsite 371.514247 -257.760033 -213.393836 -0.44829929 0.09011437 -0.88932961\nsite 375.229390 -260.337633 -215.527775 -0.39756011 0.17300565 -0.90111875\nsite 378.944532 -262.915233 -217.661713 -0.34301055 0.25423877 -0.90427120\nsite 382.659675 -265.492834 -219.795652 -0.28517344 0.33303516 -0.89875675\nsite 386.374817 -268.070434 -221.929590 -0.22460311 0.40863961 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438.386812 -304.156839 -251.804727 0.57337872 0.81924459 0.00866873\nsite 442.101955 -306.734439 -253.938665 0.60438306 0.79076028 0.09705305\nsite 445.817097 -309.312039 -256.072604 0.62959474 0.75469700 0.18450717\nsite 449.532239 -311.889640 -258.206542 0.64877213 0.71140040 0.27019290\nsite 453.247382 -314.467240 -260.340480 0.66173141 0.66128544 0.35328899\nsite 456.962524 -317.044840 -262.474419 0.66834839 0.60483244 0.43299901\nsite 460.677667 -319.622441 -264.608357 0.66855965 0.54258249 0.50855899\nsite 464.392809 -322.200041 -266.742296 0.66236315 0.47513220 0.57924473\nsite 468.107952 -324.777641 -268.876234 0.64981829 0.40312804 0.64437875\nsite 471.823094 -327.355242 -271.010172 0.63104530 0.32726014 0.70333678\nsite 475.538237 -329.932842 -273.144111 0.60622411 0.24825565 0.75555374\nsite 479.253379 -332.510442 -275.278049 0.57559263 0.16687177 0.80052916\nsite 482.968522 -335.088043 -277.411987 0.53944442 0.08388852 0.83783198\nsite 486.683664 -337.665643 -279.545926 0.49812596 0.00010125 0.86710468\nsite 490.398807 -340.243243 -281.679864 0.45203325 -0.08368699 0.88806668\nsite 494.113949 -342.820844 -283.813802 0.40160807 -0.16667314 0.90051708\nsite 497.829092 -345.398444 -285.947741 0.34733372 -0.24806183 0.90433656\nsite 501.544234 -347.976044 -288.081679 0.28973037 -0.32707299 0.89948851\nsite 505.259377 -350.553645 -290.215618 0.22935013 -0.40294934 0.88601938\nsite 508.974519 -353.131245 -292.349556 0.16677170 -0.47496367 0.86405828\nsite 512.689662 -355.708845 -294.483494 0.10259486 -0.54242574 0.83381569\nsite 516.404804 -358.286445 -296.617433 0.03743471 -0.60468899 0.79558147\nsite 520.119946 -360.864046 -298.751371 -0.02808423 -0.66115664 0.74972206\nsite 523.835089 -363.441646 -300.885309 -0.09333399 -0.71128750 0.69667701\nsite 527.550231 -366.019246 -303.019248 -0.15768921 -0.75460108 0.63695472\nsite 531.265374 -368.596847 -305.153186 -0.22053307 -0.79068226 0.57112760\nsite 534.980516 -371.174447 -307.287125 -0.28126324 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    },
    {
     "name": "clc-E44-R5011-3.40wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 3.40 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 0.000000 0.000000 0.97261242 -0.10407628 -0.20782976\nsite 0.819212 4.706065 1.477105 0.94731842 -0.06656927 -0.31329912\nsite 1.638425 9.412131 2.954210 0.90954791 -0.02818551 -0.41464222\nsite 2.457637 14.118196 4.431314 0.85979834 0.01056945 -0.51052435\nsite 3.276849 18.824262 5.908419 0.79872492 0.04918522 -0.59968268\nsite 4.096062 23.530327 7.385524 0.72713201 0.08715319 -0.68094299\nsite 4.915274 28.236393 8.862629 0.64596253 0.12397333 -0.75323504\nsite 5.734487 32.942458 10.339734 0.55628549 0.15916070 -0.81560672\nsite 6.553699 37.648524 11.816839 0.45928197 0.19225186 -0.86723658\nsite 7.372911 42.354589 13.293943 0.35622956 0.22281101 -0.90744463\nsite 8.192124 47.060655 14.771048 0.24848547 0.25043565 -0.93570132\nsite 9.011336 51.766720 16.248153 0.13746875 0.27476196 -0.95163449\nsite 9.830548 56.472786 17.725258 0.02464151 0.29546957 -0.95503431\nsite 10.649761 61.178851 19.202363 -0.08851026 0.31228574 -0.94585599\nsite 11.468973 65.884917 20.679467 -0.20049632 0.32498900 -0.92422042\nsite 12.288185 70.590982 22.156572 -0.30984178 0.33341203 -0.89041254\nsite 13.107398 75.297048 23.633677 -0.41510651 0.33744392 -0.84487762\nsite 13.926610 80.003113 25.110782 -0.51490415 0.33703155 -0.78821536\nsite 14.745822 84.709179 26.587887 -0.60792031 0.33218036 -0.72117203\nsite 15.565035 89.415244 28.064992 -0.69292996 0.32295424 -0.64463062\nsite 16.384247 94.121310 29.542096 -0.76881347 0.30947469 -0.55959920\nsite 17.203460 98.827375 31.019201 -0.83457144 0.29191926 -0.46719766\nsite 18.022672 103.533441 32.496306 -0.88933782 0.27051915 -0.36864296\nsite 18.841884 108.239506 33.973411 -0.93239131 0.24555621 -0.26523311\nsite 19.661097 112.945572 35.450516 -0.96316487 0.21735920 -0.15833004\nsite 20.480309 117.651637 36.927620 -0.98125322 0.18629950 -0.04934171\nsite 21.299521 122.357703 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "E44-R5011-2.20wt (clc-E44-R5011-2.20wt.txt)"
    },
    {
     "label": "B",
     "value": "E44-R5011-2.90wt (clc-E44-R5011-2.90wt.txt)"
    },
    {
     "label": "C",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)"
    },
    {
     "label": "D",
     "value": "E44-R5011-3.40wt (clc-E44-R5011-3.40wt.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-DES-LEFT600",
   "family": "cholesteric_design",
   "ability": "design",
   "question": "The four files list the director fields of four model cholesteric liquid-crystal films (files named by composition; columns site x y z in nm and the unit director nx ny nz, n equivalent to −n). Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for this cholesteric polymer coating, converted to a pitch with the paper's average refractive index of 1.6; the director twists uniformly about a straight helix axis with no defects, which is the idealization behind the paper's relation λ = n·p. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. A helix is right-handed if, with the right thumb pointing along the direction of travel along the helix axis, the director turns in the sense of the curled fingers; otherwise it is left-handed. For the E44 films use the average refractive index (ne + no)/2 of E44. For the polymer coatings use the average refractive index 1.6. You must choose one film such that the helix is left-handed and its normal-incidence reflection band is centred as close as possible to 600 nm. Which film should you choose?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
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    },
    {
     "name": "clc-LRCD-coating.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (reactive mesogen + 5.6 wt% LRCD); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 0.000000 0.000000 -0.30809427 0.13293579 0.94202229\nsite 3.758745 3.204357 0.777130 -0.35092909 0.18922990 0.91708278\nsite 7.517490 6.408714 1.554261 -0.39178964 0.24445943 0.88698391\nsite 11.276236 9.613071 2.331391 -0.43044604 0.29831368 0.85189503\nsite 15.034981 12.817427 3.108522 -0.46668084 0.35048967 0.81201354\nsite 18.793726 16.021784 3.885652 -0.50029017 0.40069386 0.76756380\nsite 22.552471 19.226141 4.662782 -0.53108495 0.44864381 0.71879587\nsite 26.311216 22.430498 5.439913 -0.55889194 0.49406978 0.66598413\nsite 30.069962 25.634855 6.217043 -0.58355469 0.53671619 0.60942567\nsite 33.828707 28.839212 6.994173 -0.60493448 0.57634313 0.54943869\nsite 37.587452 32.043569 7.771304 -0.62291100 0.61272766 0.48636066\nsite 41.346197 35.247925 8.548434 -0.63738314 0.64566510 0.42054645\nsite 45.104942 38.452282 9.325565 -0.64826946 0.67497013 0.35236632\nsite 48.863688 41.656639 10.102695 -0.65550874 0.70047790 0.28220384\nsite 52.622433 44.860996 10.879825 -0.65906024 0.72204490 0.21045373\nsite 56.381178 48.065353 11.656956 -0.65890397 0.73954980 0.13751964\nsite 60.139923 51.269710 12.434086 -0.65504083 0.75289412 0.06381189\nsite 63.898668 54.474067 13.211217 -0.64749254 0.76200279 -0.01025486\nsite 67.657414 57.678423 13.988347 -0.63630157 0.76682456 -0.08426391\nsite 71.416159 60.882780 14.765477 -0.62153088 0.76733231 -0.15779891\nsite 75.174904 64.087137 15.542608 -0.60326356 0.76352318 -0.23044616\nsite 78.933649 67.291494 16.319738 -0.58160239 0.75541860 -0.30179696\nsite 82.692395 70.495851 17.096869 -0.55666922 0.74306417 -0.37144990\nsite 86.451140 73.700208 17.873999 -0.52860432 0.72652938 -0.43901313\nsite 90.209885 76.904564 18.651129 -0.49756559 0.70590727 -0.50410655\nsite 93.968630 80.108921 19.428260 -0.46372764 0.68131384 -0.56636395\nsite 97.727375 83.313278 20.205390 -0.42728084 0.65288746 -0.62543508\nsite 101.486121 86.517635 20.982520 -0.38843023 0.62078805 -0.68098763\nsite 105.244866 89.721992 21.759651 -0.34739438 0.58519620 -0.73270905\nsite 109.003611 92.926349 22.536781 -0.30440415 0.54631212 -0.78030838\nsite 112.762356 96.130706 23.313912 -0.25970139 0.50435460 -0.82351784\nsite 116.521101 99.335062 24.091042 -0.21353760 0.45955966 -0.86209432\nsite 120.279847 102.539419 24.868172 -0.16617249 0.41217931 -0.89582081\nsite 124.038592 105.743776 25.645303 -0.11787251 0.36248012 -0.92450756\nsite 127.797337 108.948133 26.422433 -0.06890941 0.31074168 -0.94799320\nsite 131.556082 112.152490 27.199564 -0.01955863 0.25725505 -0.96614559\nsite 135.314827 115.356847 27.976694 0.02990218 0.20232116 -0.97886261\nsite 139.073573 118.561204 28.753824 0.07919477 0.14624904 -0.98607272\nsite 142.832318 121.765560 29.530955 0.12804182 0.08935415 -0.98773535\nsite 146.591063 124.969917 30.308085 0.17616853 0.03195657 -0.98384116\nsite 150.349808 128.174274 31.085215 0.22330414 -0.02562080 -0.97441205\nsite 154.108553 131.378631 31.862346 0.26918349 -0.08305402 -0.95950106\nsite 157.867299 134.582988 32.639476 0.31354845 -0.14002000 -0.93919208\nsite 161.626044 137.787345 33.416607 0.35614945 -0.19619825 -0.91359937\nsite 165.384789 140.991702 34.193737 0.39674681 -0.25127272 -0.88286691\nsite 169.143534 144.196058 34.970867 0.43511214 -0.30493358 -0.84716760\nsite 172.902279 147.400415 35.747998 0.47102961 -0.35687893 -0.80670226\nsite 176.661025 150.604772 36.525128 0.50429714 -0.40681654 -0.76169856\nsite 180.419770 153.809129 37.302259 0.53472759 -0.45446547 -0.71240967\nsite 184.178515 157.013486 38.079389 0.56214975 -0.49955766 -0.65911289\nsite 187.937260 160.217843 38.856519 0.58640935 -0.54183943 -0.60210805\nsite 191.696005 163.422200 39.633650 0.60736992 -0.58107289 -0.54171586\nsite 195.454751 166.626556 40.410780 0.62491353 -0.61703735 -0.47827607\nsite 199.213496 169.830913 41.187911 0.63894148 -0.64953045 -0.41214558\nsite 202.972241 173.035270 41.965041 0.64937486 -0.67836942 -0.34369643\nsite 206.730986 176.239627 42.742171 0.65615496 -0.70339199 -0.27331370\nsite 210.489732 179.443984 43.519302 0.65924365 -0.72445740 -0.20139336\nsite 214.248477 182.648341 44.296432 0.65862356 -0.74144714 -0.12834001\nsite 218.007222 185.852697 45.073562 0.65429815 -0.75426562 -0.05456464\nsite 221.765967 189.057054 45.850693 0.64629178 -0.76284074 0.01951770\nsite 225.524712 192.261411 46.627823 0.63464949 -0.76712424 0.09349023\nsite 229.283458 195.465768 47.404954 0.61943677 -0.76709204 0.16693680\nsite 233.042203 198.670125 48.182084 0.60073920 -0.76274431 0.23944422\nsite 236.800948 201.874482 48.959214 0.57866197 -0.75410551 0.31060457\nsite 240.559693 205.078839 49.736345 0.55332930 -0.74122425 0.38001750\nsite 244.318438 208.283195 50.513475 0.52488369 -0.72417298 0.44729253\nsite 248.077184 211.487552 51.290606 0.49348517 -0.70304765 0.51205116\nsite 251.835929 214.691909 52.067736 0.45931039 -0.67796709 0.57392908\nsite 255.594674 217.896266 52.844866 0.42255162 -0.64907240 0.63257818\nsite 259.353419 221.100623 53.621997 0.38341564 -0.61652614 0.68766850\nsite 263.112164 224.304980 54.399127 0.34212262 -0.58051142 0.73889012\nsite 266.870910 227.509337 55.176257 0.29890489 -0.54123083 0.78595487\nsite 270.629655 230.713693 55.953388 0.25400557 -0.49890538 0.82859797\nsite 274.388400 233.918050 56.730518 0.20767726 -0.45377317 0.86657952\nsite 278.147145 237.122407 57.507649 0.16018059 -0.40608811 0.89968585\nsite 281.905890 240.326764 58.284779 0.11178277 -0.35611847 0.92773070\nsite 285.664636 243.531121 59.061909 0.06275608 -0.30414537 0.95055629\nsite 289.423381 246.735478 59.839040 0.01337634 -0.25046120 0.96803423\nsite 293.182126 249.939835 60.616170 -0.03607866 -0.19536798 0.98006616\nsite 296.940871 253.144191 61.393301 -0.08533068 -0.13917565 0.98658442\nsite 300.699616 256.348548 62.170431 -0.13410265 -0.08220034 0.98755232\nsite 304.458362 259.552905 62.947561 -0.18212018 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)"
    },
    {
     "label": "B",
     "value": "RRCD-coating (clc-RRCD-coating.txt)"
    },
    {
     "label": "C",
     "value": "E44-S5011-2.57wt (clc-E44-S5011-2.57wt.txt)"
    },
    {
     "label": "D",
     "value": "LRCD-coating (clc-LRCD-coating.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-CH-DES-BELOW620",
   "family": "cholesteric_design",
   "ability": "design",
   "question": "The four files list the director fields of four model cholesteric liquid-crystal films (files named by composition; columns site x y z in nm and the unit director nx ny nz, n equivalent to −n). Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. For the E44 films use the average refractive index (ne + no)/2 of E44. You must choose one film such that as little dopant as possible is used while the normal-incidence reflection band is centred at or below 620 nm. Which film should you choose?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "inputs": [
    {
     "name": "clc-E44-R5011-2.20wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.20 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 0.000000 0.000000 -0.93368361 0.35295491 -0.06047924\nsite 1.730684 4.664088 0.501017 -0.93792081 0.34659024 0.01340776\nsite 3.461369 9.328175 1.002034 -0.93698278 0.33831317 0.08722079\nsite 5.192053 13.992263 1.503051 -0.93087472 0.32816936 0.16055255\nsite 6.922737 18.656351 2.004068 -0.91963032 0.31621480 0.23299843\nsite 8.653421 23.320438 2.505085 -0.90331163 0.30251545 0.30415868\nsite 10.384106 27.984526 3.006102 -0.88200869 0.28714689 0.37364065\nsite 12.114790 32.648614 3.507119 -0.85583904 0.27019392 0.44106097\nsite 13.845474 37.312702 4.008136 -0.82494709 0.25175009 0.50604762\nsite 15.576158 41.976789 4.509152 -0.78950328 0.23191717 0.56824203\nsite 17.306843 46.640877 5.010169 -0.74970318 0.21080458 0.62730102\nsite 19.037527 51.304965 5.511186 -0.70576641 0.18852883 0.68289871\nsite 20.768211 55.969052 6.012203 -0.65793540 0.16521282 0.73472834\nsite 22.498896 60.633140 6.513220 -0.60647406 0.14098521 0.78250392\nsite 24.229580 65.297228 7.014237 -0.55166634 0.11597968 0.82596184\nsite 25.960264 69.961315 7.515254 -0.49381467 0.09033420 0.86486230\nsite 27.690948 74.625403 8.016271 -0.43323825 0.06419027 0.89899067\nsite 29.421633 79.289491 8.517288 -0.37027133 0.03769217 0.92815863\nsite 31.152317 83.953578 9.018305 -0.30526134 0.01098608 0.95220524\nsite 32.883001 88.617666 9.519322 -0.23856700 -0.01578062 0.97099782\nsite 34.613685 93.281754 10.020339 -0.17055630 -0.04246025 0.98443267\nsite 36.344370 97.945841 10.521356 -0.10160451 -0.06890560 0.99243566\nsite 38.075054 102.609929 11.022373 -0.03209210 -0.09497074 0.99496264\nsite 39.805738 107.274017 11.523390 0.03759739 -0.12051185 0.99199966\nsite 41.536423 111.938105 12.024407 0.10707943 -0.14538801 0.98356307\nsite 43.267107 116.602192 12.525424 0.17597063 -0.16946196 0.96969943\nsite 44.997791 121.266280 13.026440 0.24389086 -0.19260086 0.95048522\nsite 46.728475 125.930368 13.527457 0.31046537 -0.21467703 0.92602647\nsite 48.459160 130.594455 14.028474 0.37532680 -0.23556867 0.89645814\nsite 50.189844 135.258543 14.529491 0.43811728 -0.25516049 0.86194337\nsite 51.920528 139.922631 15.030508 0.49849033 -0.27334441 0.82267261\nsite 53.651212 144.586718 15.531525 0.55611284 -0.29002008 0.77886255\nsite 55.381897 149.250806 16.032542 0.61066685 -0.30509549 0.73075491\nsite 57.112581 153.914894 16.533559 0.66185136 -0.31848746 0.67861515\nsite 58.843265 158.578981 17.034576 0.70938393 -0.33012209 0.62273096\nsite 60.573950 163.243069 17.535593 0.75300229 -0.33993519 0.56341070\nsite 62.304634 167.907157 18.036610 0.79246578 -0.34787261 0.50098167\nsite 64.035318 172.571245 18.537627 0.82755664 -0.35389056 0.43578835\nsite 65.766002 177.235332 19.038644 0.85808124 -0.35795583 0.36819046\nsite 67.496687 181.899420 19.539661 0.88387116 -0.36004598 0.29856098\nsite 69.227371 186.563508 20.040678 0.90478410 -0.36014949 0.22728412\nsite 70.958055 191.227595 20.541695 0.92070467 -0.35826579 0.15475316\nsite 72.688739 195.891683 21.042712 0.93154501 -0.35440526 0.08136831\nsite 74.419424 200.555771 21.543729 0.93724532 -0.34858921 0.00753449\nsite 76.150108 205.219858 22.044745 0.93777414 -0.34084973 -0.06634090\nsite 77.880792 209.883946 22.545762 0.93312856 -0.33122953 -0.13985024\nsite 79.611477 214.548034 23.046779 0.92333420 -0.31978169 -0.21258792\nsite 81.342161 219.212121 23.547796 0.90844511 -0.30656937 -0.28415260\nsite 83.072845 223.876209 24.048813 0.88854345 -0.29166547 -0.35414939\nsite 84.803529 228.540297 24.549830 0.86373903 -0.27515224 -0.42219207\nsite 86.534214 233.204384 25.050847 0.83416870 -0.25712078 -0.48790520\nsite 88.264898 237.868472 25.551864 0.79999564 -0.23767060 -0.55092618\nsite 89.995582 242.532560 26.052881 0.76140840 -0.21690901 -0.61090730\nsite 91.726266 247.196648 26.553898 0.71861990 -0.19495057 -0.66751758\nsite 93.456951 251.860735 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1268.631851 136.276608 -0.28539927 0.00295005 0.95840417\nsite 472.476806 1273.295939 136.777625 -0.21827072 -0.02380602 0.97559785\nsite 474.207491 1277.960027 137.278642 -0.14993780 -0.05043073 0.98740842\nsite 475.938175 1282.624115 137.779659 -0.08077756 -0.07677718 0.99377072\nsite 477.668859 1287.288202 138.280676 -0.01117161 -0.10270000 0.99464964\nsite 479.399543 1291.952290 138.781693 0.05849598 -0.12805614 0.99004033\nsite 481.130228 1296.616378 139.282710 0.12784080 -0.15270569 0.97996821\nsite 482.860912 1301.280465 139.783727 0.19648023 -0.17651266 0.96448888\nsite 484.591596 1305.944553 140.284744 0.26403553 -0.19934567 0.94368773\nsite 486.322281 1310.608641 140.785761 0.33013395 -0.22107874 0.91767955\nsite 488.052965 1315.272728 141.286778 0.39441077 -0.24159196 0.88660784\nsite 489.783649 1319.936816 141.787795 0.45651133 -0.26077213 0.85064405\nsite 491.514333 1324.600904 142.288812 0.51609297 -0.27851342 0.80998662\nsite 493.245018 1329.264991 142.789828 0.57282694 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517.474597 1394.562219 149.804066 0.93072711 -0.32798205 -0.16178635\nsite 519.205282 1399.226307 150.305083 0.91939629 -0.31599741 -0.23421379\n"
    },
    {
     "name": "clc-E44-R5011-2.40wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.40 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite 0.000000 -0.000000 0.000000 -0.68547448 -0.71376646 -0.14374344\nsite 3.562843 -3.491037 0.344692 -0.67111434 -0.70695623 -0.22320043\nsite 7.125686 -6.982074 0.689384 -0.65234765 -0.69550412 -0.30119190\nsite 10.688528 -10.473111 1.034076 -0.62929764 -0.67948533 -0.37720573\nsite 14.251371 -13.964148 1.378768 -0.60211566 -0.65900503 -0.45074283\nsite 17.814214 -17.455184 1.723460 -0.57098018 -0.63419770 -0.52132035\nsite 21.377057 -20.946221 2.068152 -0.53609565 -0.60522622 -0.58847487\nsite 24.939900 -24.437258 2.412843 -0.49769110 -0.57228082 -0.65176547\nsite 28.502743 -27.928295 2.757535 -0.45601871 -0.53557783 -0.71077656\nsite 32.065585 -31.419332 3.102227 -0.41135210 -0.49535822 -0.76512070\nsite 35.628428 -34.910369 3.446919 -0.36398455 -0.45188609 -0.81444104\nsite 39.191271 -38.401406 3.791611 -0.31422707 -0.40544687 -0.85841376\nsite 42.754114 -41.892443 4.136303 -0.26240638 -0.35634548 -0.89675013\nsite 46.316957 -45.383479 4.480995 -0.20886272 -0.30490433 -0.92919843\nsite 49.879800 -48.874516 4.825687 -0.15394767 -0.25146117 -0.95554560\nsite 53.442642 -52.365553 5.170379 -0.09802180 -0.19636691 -0.97561866\nsite 57.005485 -55.856590 5.515071 -0.04145232 -0.13998331 -0.98928579\nsite 60.568328 -59.347627 5.859763 0.01538935 -0.08268058 -0.99645727\nsite 64.131171 -62.838664 6.204455 0.07212996 -0.02483497 -0.99708600\nsite 67.694014 -66.329701 6.549146 0.12839697 0.03317371 -0.99116786\nsite 71.256857 -69.820738 6.893838 0.18382092 0.09096458 -0.97874170\nsite 74.819699 -73.311774 7.238530 0.23803790 0.14815816 -0.95988912\nsite 78.382542 -76.802811 7.583222 0.29069193 0.20437894 -0.93473389\nsite 81.945385 -80.293848 7.927914 0.34143727 0.25925777 -0.90344120\nsite 85.508228 -83.784885 8.272606 0.38994073 0.31243431 -0.86621651\nsite 89.071071 -87.275922 8.617298 0.43588383 0.36355940 -0.82330423\nsite 92.633913 -90.766959 8.961990 0.47896492 0.41229736 -0.77498613\nsite 96.196756 -94.257996 9.306682 0.51890112 0.45832817 -0.72157946\nsite 99.759599 -97.749033 9.651374 0.55543022 0.50134959 -0.66343490\nsite 103.322442 -101.240069 9.996066 0.58831235 0.54107915 -0.60093422\nsite 106.885285 -104.731106 10.340758 0.61733162 0.57725598 -0.53448780\nsite 110.448128 -108.222143 10.685450 0.64229749 0.60964254 -0.46453193\nsite 114.010970 -111.713180 11.030141 0.66304602 0.63802618 -0.39152594\nsite 117.573813 -115.204217 11.374833 0.67944099 0.66222054 -0.31594919\nsite 121.136656 -118.695254 11.719525 0.69137475 0.68206676 -0.23829791\nsite 124.699499 -122.186291 12.064217 0.69876893 0.69743452 -0.15908197\nsite 128.262342 -125.677328 12.408909 0.70157500 0.70822291 -0.07882149\nsite 131.825185 -129.168364 12.753601 0.69977451 0.71436112 0.00195653\nsite 135.388027 -132.659401 13.098293 0.69337930 0.71580882 0.08272170\nsite 138.950870 -136.150438 13.442985 0.68243136 0.71255651 0.16294372\nsite 142.513713 -139.641475 13.787677 0.66700257 0.70462555 0.24209585\nsite 146.076556 -143.132512 14.132369 0.64719423 0.69206802 0.31965838\nsite 149.639399 -146.623549 14.477061 0.62313641 0.67496636 0.39512203\nsite 153.202241 -150.114586 14.821753 0.59498707 0.65343287 0.46799131\nsite 156.765084 -153.605623 15.166444 0.56293105 0.62760893 0.53778775\nsite 160.327927 -157.096660 15.511136 0.52717881 0.59766411 0.60405307\nsite 163.890770 -160.587696 15.855828 0.48796512 0.56379502 0.66635217\nsite 167.453613 -164.078733 16.200520 0.44554744 0.52622405 0.72427600\nsite 171.016456 -167.569770 16.545212 0.40020429 0.48519789 0.77744423\nsite 174.579298 -171.060807 16.889904 0.35223340 0.44098591 0.82550776\nsite 178.142141 -174.551844 17.234596 0.30194974 0.39387842 0.86815099\nsite 181.704984 -178.042881 17.579288 0.24968348 0.34418472 0.90509394\nsite 185.267827 -181.533918 17.923980 0.19577779 0.29223110 0.93609403\nsite 188.830670 -185.024955 18.268672 0.14058662 0.23835869 0.96094773\nsite 192.393513 -188.515991 18.613364 0.08447237 0.18292121 0.97949183\nsite 195.956355 -192.007028 18.958056 0.02780346 0.12628267 0.99160459\nsite 199.519198 -195.498065 19.302748 -0.02904800 0.06881496 0.99720646\nsite 203.082041 -198.989102 19.647439 -0.08570873 0.01089541 0.99626066\nsite 206.644884 -202.480139 19.992131 -0.14180670 -0.04709569 0.98877341\nsite 210.207727 -205.971176 20.336823 -0.19697356 -0.10477755 0.97479387\nsite 213.770570 -209.462213 20.681515 -0.25084710 -0.16177144 0.95441382\nsite 217.333412 -212.953250 21.026207 -0.30307357 -0.21770314 0.92776708\nsite 220.896255 -216.444286 21.370899 -0.35331006 -0.27220539 0.89502862\nsite 224.459098 -219.935323 21.715591 -0.40122671 -0.32492035 0.85641339\nsite 228.021941 -223.426360 22.060283 -0.44650890 -0.37550187 0.81217495\nsite 231.584784 -226.917397 22.404975 -0.48885931 -0.42361785 0.76260376\nsite 235.147626 -230.408434 22.749667 -0.52799987 -0.46895235 0.70802530\nsite 238.710469 -233.899471 23.094359 -0.56367358 -0.51120770 0.64879795\nsite 242.273312 -237.390508 23.439051 -0.59564620 -0.55010646 0.58531059\nsite 245.836155 -240.881545 23.783743 -0.62370780 -0.58539322 0.51798007\nsite 249.398998 -244.372581 24.128434 -0.64767414 -0.61683628 0.44724849\nsite 252.961841 -247.863618 24.473126 -0.66738784 -0.64422919 0.37358027\nsite 256.524683 -251.354655 24.817818 -0.68271947 -0.66739209 0.29745913\nsite 260.087526 -254.845692 25.162510 -0.69356835 -0.68617288 0.21938486\nsite 263.650369 -258.336729 25.507202 -0.69986326 -0.70044826 0.13987011\nsite 267.213212 -261.827766 25.851894 -0.70156287 -0.71012449 0.05943697\nsite 270.776055 -265.318803 26.196586 -0.69865600 -0.71513804 -0.02138643\nsite 274.338898 -268.809840 26.541278 -0.69116176 -0.71545598 -0.10206941\nsite 277.901740 -272.300876 26.885970 -0.67912934 -0.71107624 -0.18208219\nsite 281.464583 -275.791913 27.230662 -0.66263776 -0.70202756 -0.26089943\nsite 285.027426 -279.282950 27.575354 -0.64179528 -0.68836936 -0.33800360\nsite 288.590269 -282.773987 27.920046 -0.61673878 -0.67019133 -0.41288843\nsite 292.153112 -286.265024 28.264737 -0.58763277 -0.64761281 -0.48506224\nsite 295.715954 -289.756061 28.609429 -0.55466835 -0.62078207 -0.55405112\nsite 299.278797 -293.247098 28.954121 -0.51806198 -0.58987526 -0.61940210\nsite 302.841640 -296.738135 29.298813 -0.47805401 -0.55509533 -0.68068608\nsite 306.404483 -300.229172 29.643505 -0.43490713 -0.51667064 -0.73750067\nsite 309.967326 -303.720208 29.988197 -0.38890465 -0.47485349 -0.78947283\nsite 313.530169 -307.211245 30.332889 -0.34034861 -0.42991844 -0.83626130\nsite 317.093011 -310.702282 30.677581 -0.28955785 -0.38216055 -0.87755887\nsite 320.655854 -314.193319 31.022273 -0.23686585 -0.33189338 -0.91309438\nsite 324.218697 -317.684356 31.366965 -0.18261858 -0.27944701 -0.94263451\nsite 327.781540 -321.175393 31.711657 -0.12717224 -0.22516578 -0.96598530\nsite 331.344383 -324.666430 32.056349 -0.07089089 -0.16940611 -0.98299341\nsite 334.907226 -328.157467 32.401041 -0.01414406 -0.11253412 -0.99354719\nsite 338.470068 -331.648503 32.745732 0.04269563 -0.05492323 -0.99757733\nsite 342.032911 -335.139540 33.090424 0.09925499 0.00304829 -0.99505736\nsite 345.595754 -338.630577 33.435116 0.15516263 0.06099979 -0.98600385\nsite 349.158597 -342.121614 33.779808 0.21005148 0.11855077 -0.97047622\nsite 352.721440 -345.612651 34.124500 0.26356113 0.17532334 -0.94857644\nsite 356.284283 -349.103688 34.469192 0.31534023 0.23094474 -0.92044830\nsite 359.847125 -352.594725 34.813884 0.36504881 0.28504975 -0.88627649\nsite 363.409968 -356.085762 35.158576 0.41236047 0.33728312 -0.84628538\nsite 366.972811 -359.576798 35.503268 0.45696457 0.38730189 -0.80073755\nsite 370.535654 -363.067835 35.847960 0.49856824 0.43477763 -0.74993208\nsite 374.098497 -366.558872 36.192652 0.53689831 0.47939862 -0.69420254\nsite 377.661339 -370.049909 36.537344 0.57170309 0.52087188 -0.63391487\nsite 381.224182 -373.540946 36.882035 0.60275407 0.55892508 -0.56946490\nsite 384.787025 -377.031983 37.226727 0.62984737 0.59330838 -0.50127583\nsite 388.349868 -380.523020 37.571419 0.65280508 0.62379601 -0.42979537\nsite 391.912711 -384.014057 37.916111 0.67147646 0.65018780 -0.35549288\nsite 395.475554 -387.505093 38.260803 0.68573893 0.67231044 -0.27885622\nsite 399.038396 -390.996130 38.605495 0.69549883 0.69001869 -0.20038858\nsite 402.601239 -394.487167 38.950187 0.70069208 0.70319627 -0.12060519\nsite 406.164082 -397.978204 39.294879 0.70128458 0.71175666 -0.04002991\nsite 409.726925 -401.469241 39.639571 0.69727244 0.71564365 0.04080821\nsite 413.289768 -404.960278 39.984263 0.68868200 0.71483172 0.12137839\nsite 416.852611 -408.451315 40.328955 0.67556968 0.70932619 0.20115159\nsite 420.415453 -411.942352 40.673647 0.65802155 0.69916323 0.27960403\nsite 423.978296 -415.433388 41.018339 0.63615286 0.68440956 0.35622058\nsite 427.541139 -418.924425 41.363030 0.61010717 0.66516204 0.43049819\nsite 431.103982 -422.415462 41.707722 0.58005552 0.64154707 0.50194915\nsite 434.666825 -425.906499 42.052414 0.54619522 0.61371969 0.57010430\nsite 438.229667 -429.397536 42.397106 0.50874860 0.58186263 0.63451614\nsite 441.792510 -432.888573 42.741798 0.46796153 0.54618505 0.69476175\nsite 445.355353 -436.379610 43.086490 0.42410183 0.50692122 0.75044555\nsite 448.918196 -439.870647 43.431182 0.37745746 0.46432894 0.80120191\nsite 452.481039 -443.361683 43.775874 0.32833471 0.41868787 0.84669758\nsite 456.043882 -446.852720 44.120566 0.27705611 0.37029769 0.88663382\nsite 459.606724 -450.343757 44.465258 0.22395836 0.31947614 0.92074842\nsite 463.169567 -453.834794 44.809950 0.16939009 0.26655690 0.94881738\nsite 466.732410 -457.325831 45.154642 0.11370961 0.21188745 0.97065639\nsite 470.295253 -460.816868 45.499333 0.05728251 0.15582674 0.98612207\nsite 473.858096 -464.307905 45.844025 0.00047929 0.09874287 0.99511287\nsite 477.420939 -467.798942 46.188717 -0.05632707 0.04101066 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    },
    {
     "name": "clc-E44-R5011-2.62wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 2.62 wt% R5011); site x y z (nm) nx ny nz (unit director)\nsite -0.000000 -0.000000 0.000000 -0.85094112 0.52519507 -0.00832744\nsite -2.520419 -4.060371 1.469990 -0.86065910 0.50066218 -0.09275389\nsite -5.040838 -8.120743 2.939980 -0.86364318 0.47221205 -0.17645462\nsite -7.561258 -12.181114 4.409970 -0.85987001 0.44006727 -0.25877474\nsite -10.081677 -16.241486 5.879960 -0.84936910 0.40447935 -0.33907018\nsite -12.602096 -20.301857 7.349950 -0.83222262 0.36572673 -0.41671269\nsite -15.122515 -24.362229 8.819940 -0.80856473 0.32411261 -0.49109479\nsite -17.642934 -28.422600 10.289930 -0.77858052 0.27996260 -0.56163450\nsite -20.163354 -32.482972 11.759920 -0.74250460 0.23362213 -0.62777991\nsite -22.683773 -36.543343 13.229910 -0.70061923 0.18545377 -0.68901350\nsite -25.204192 -40.603715 14.699900 -0.65325212 0.13583439 -0.74485615\nsite -27.724611 -44.664086 16.169890 -0.60077389 0.08515223 -0.79487095\nsite 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0.09303630 0.91799536\nsite -665.390669 -1071.938063 388.077371 0.31572247 0.14357999 0.93792543\nsite -667.911088 -1075.998435 389.547361 0.24345067 0.19300029 0.95051705\nsite -670.431507 -1080.058806 391.017351 0.16927409 0.24091053 0.95567170\nsite -672.951927 -1084.119178 392.487341 0.09377308 0.28693585 0.95334906\nsite -675.472346 -1088.179549 393.957331 0.01753839 0.33071615 0.94356729\nsite -677.992765 -1092.239921 395.427321 -0.05883353 0.37190889 0.92640293\nsite -680.513184 -1096.300292 396.897311 -0.13474513 0.41019177 0.90199028\nsite -683.033603 -1100.360664 398.367301 -0.20960247 0.44526525 0.87052034\nsite -685.554023 -1104.421035 399.837291 -0.28281985 0.47685492 0.83223934\nsite -688.074442 -1108.481407 401.307281 -0.35382441 0.50471362 0.78744679\nsite -690.594861 -1112.541778 402.777271 -0.42206060 0.52862337 0.73649316\nsite -693.115280 -1116.602149 404.247261 -0.48699454 0.54839711 0.67977712\nsite -695.635699 -1120.662521 405.717251 -0.54811817 0.56388012 0.61774241\nsite -698.156119 -1124.722892 407.187241 -0.60495325 0.57495126 0.55087440\nsite -700.676538 -1128.783264 408.657231 -0.65705511 0.58152391 0.47969629\nsite -703.196957 -1132.843635 410.127221 -0.70401608 0.58354664 0.40476497\nsite -705.717376 -1136.904007 411.597211 -0.74546874 0.58100363 0.32666672\nsite -708.237795 -1140.964378 413.067202 -0.78108876 0.57391477 0.24601258\nsite -710.758215 -1145.024750 414.537192 -0.81059744 0.56233553 0.16343361\nsite -713.278634 -1149.085121 416.007182 -0.83376390 0.54635650 0.07957592\nsite -715.799053 -1153.145493 417.477172 -0.85040689 0.52610272 -0.00490438\nsite -718.319472 -1157.205864 418.947162 -0.86039619 0.50173264 -0.08934632\nsite -720.839891 -1161.266235 420.417152 -0.86365363 0.47343693 -0.17308919\nsite -723.360311 -1165.326607 421.887142 -0.86015375 0.44143700 -0.25547780\nsite -725.880730 -1169.386978 423.357132 -0.84992391 0.40598321 -0.33586751\nsite -728.401149 -1173.447350 424.827122 -0.83304415 0.36735296 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    },
    {
     "name": "clc-E44-R5011-3.00wt.txt",
     "format": "director-field",
     "unit": "nm",
     "text": "301\nDirector field of a model cholesteric film (E44 + 3.00 wt% R5011 (model concentration)); site x y z (nm) nx ny nz (unit director)\nsite -0.000000 0.000000 0.000000 0.85327618 -0.13586155 0.50344950\nsite -1.547790 3.224827 3.493542 0.89134369 -0.05910137 0.44945907\nsite -3.095579 6.449655 6.987084 0.92026938 0.01826497 0.39085888\nsite -4.643369 9.674482 10.480626 0.93975657 0.09544398 0.32824996\nsite -6.191158 12.899310 13.974168 0.94960541 0.17164409 0.26227443\nsite -7.738948 16.124137 17.467710 0.94971488 0.24608378 0.19360895\nsite -9.286737 19.348964 20.961252 0.94008385 0.31799958 0.12295778\nsite -10.834527 22.573792 24.454794 0.92081112 0.38665391 0.05104552\nsite -12.382316 25.798619 27.948336 0.89209433 0.45134262 -0.02139027\nsite -13.930106 29.023447 31.441878 0.85422802 0.51140227 -0.09360668\nsite -15.477895 32.248274 34.935420 0.80760056 0.56621685 -0.16486304\nsite -17.025685 35.473102 38.428962 0.75269015 0.61522419 -0.23442852\nsite -18.573474 38.697929 41.922504 0.69005999 0.65792164 -0.30158965\nsite -20.121264 41.922756 45.416046 0.62035242 0.69387130 -0.36565761\nsite -21.669053 45.147584 48.909588 0.54428237 0.72270446 -0.42597531\nsite -23.216843 48.372411 52.403130 0.46263003 0.74412540 -0.48192410\nsite -24.764632 51.597239 55.896672 0.37623286 0.75791442 -0.53293017\nsite -26.312422 54.822066 59.390214 0.28597696 0.76393010 -0.57847038\nsite -27.860211 58.046893 62.883756 0.19278801 0.76211073 -0.61807768\nsite -29.408001 61.271721 66.377298 0.09762179 0.75247499 -0.65134582\nsite -30.955790 64.496548 69.870840 0.00145433 0.73512169 -0.67793362\nsite -32.503580 67.721376 73.364382 -0.09472804 0.71022881 -0.69756837\nsite -34.051369 70.946203 76.857924 -0.18993886 0.67805167 -0.71004871\nsite -35.599159 74.171031 80.351466 -0.28320163 0.63892027 -0.71524662\nsite -37.146948 77.395858 83.845008 -0.37355981 0.59323596 -0.71310880\nsite -38.694738 80.620685 87.338550 -0.46008668 0.54146729 -0.70365718\nsite -40.242527 83.845513 90.832092 -0.54189479 0.48414521 -0.68698868\nsite -41.790317 87.070340 94.325634 -0.61814511 0.42185762 -0.66327428\nsite -43.338106 90.295168 97.819176 -0.68805559 0.35524337 -0.63275718\nsite -44.885896 93.519995 101.312718 -0.75090922 0.28498566 -0.59575038\nsite -46.433685 96.744822 104.806260 -0.80606135 0.21180507 -0.55263343\nsite -47.981475 99.969650 108.299802 -0.85294634 0.13645216 -0.50384855\nsite -49.529264 103.194477 111.793344 -0.89108331 0.05969977 -0.44989608\nsite -51.077054 106.419305 115.286886 -0.92008112 -0.01766492 -0.39132937\nsite -52.624843 109.644132 118.780428 -0.93964238 -0.09484844 -0.32874910\nsite -54.172633 112.868960 122.273970 -0.94956645 -0.17105916 -0.26279710\nsite -55.720423 116.093787 125.767512 -0.94975155 -0.24551547 -0.19414980\nsite -57.268212 119.318614 129.261054 -0.94019578 -0.31745371 -0.12351126\nsite -58.816002 122.543442 132.754596 -0.92099716 -0.38613607 -0.05160595\nsite -60.363791 125.768269 136.248138 -0.89235257 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170.915853 185.157726 0.18920703 -0.67832832 0.70997985\nsite -83.580634 174.140680 188.651268 0.28248861 -0.63924938 0.71523452\nsite -85.128423 177.365508 192.144810 0.37287292 -0.59361415 0.71315358\nsite -86.676213 180.590335 195.638352 0.45943296 -0.54189068 0.70375837\nsite -88.224002 183.815163 199.131894 0.54128095 -0.48460946 0.68714526\nsite -89.771792 187.039990 202.625436 0.61757744 -0.42235797 0.66348463\nsite -91.319581 190.264818 206.118978 0.68753991 -0.35577468 0.63301915\nsite -92.867371 193.489645 209.612520 0.75045082 -0.28554248 0.59606129\nsite -94.415160 196.714472 213.106062 0.80566493 -0.21238170 0.55299008\nsite -95.962950 199.939300 216.599604 0.85261597 -0.13704268 0.50424728\nsite -97.510739 203.164127 220.093146 0.89082237 -0.06029812 0.45033280\nsite -99.058529 206.388955 223.586688 0.91989230 0.01706487 0.39179961\nsite -100.606318 209.613782 227.080230 0.93952761 0.09425284 0.32924804\nsite -102.154108 212.838609 230.573772 0.94952691 0.17047413 0.26331962\nsite -103.701897 216.063437 234.067314 0.94978764 0.24494700 0.19469053\nsite -105.249687 219.288264 237.560856 0.94030714 0.31690763 0.12406466\nsite -106.797477 222.513092 241.054398 0.92118263 0.38561800 0.05216635\nsite -108.345266 225.737919 244.547940 0.89261026 0.45037337 -0.02026699\nsite -109.893056 228.962747 248.041482 0.85488308 0.51050961 -0.09249247\nsite -111.440845 232.187574 251.535024 0.80838802 0.56540995 -0.16376932\nsite -112.988635 235.412401 255.028566 0.75360195 0.61451132 -0.23336652\nsite -114.536424 238.637229 258.522108 0.69108677 0.65731012 -0.30057026\nsite -116.084214 241.862056 262.015651 0.62148365 0.69336740 -0.36469128\nsite -117.632003 245.086884 265.509193 0.54550644 0.72231334 -0.42507195\nsite -119.179793 248.311711 269.002735 0.46393440 0.74385107 -0.48109298\nsite -120.727582 251.536538 272.496277 0.37760415 0.75775970 -0.53217981\nsite -122.275372 254.761366 275.989819 0.28740109 0.76389657 -0.57780848\nsite -123.823161 257.986193 279.483361 0.19425039 0.76219874 -0.61751102\nsite -125.370951 261.211021 282.976903 0.09910741 0.75268363 -0.65088022\nsite -126.918740 264.435848 286.470445 0.00294797 0.73544883 -0.67757385\nsite -128.466530 267.660676 289.963987 -0.09324172 0.71067110 -0.69731813\nsite -130.014319 270.885503 293.457529 -0.18847509 0.67860456 -0.70991056\nsite -131.562109 274.110330 296.951071 -0.28177542 0.63957809 -0.71522198\nsite -133.109898 277.335158 300.444613 -0.37218580 0.59399197 -0.71319792\nsite -134.657688 280.559985 303.938155 -0.45877895 0.54231374 -0.70385914\nsite -136.205477 283.784813 307.431697 -0.54066677 0.48507341 -0.68730142\nsite -137.753267 287.009640 310.925239 -0.61700938 0.42285805 -0.66369458\nsite -139.301056 290.234467 314.418781 -0.68702380 0.35630577 -0.63328074\nsite -140.848846 293.459295 317.912323 -0.74999195 0.28609914 -0.59637182\nsite -142.396635 296.684122 321.405865 -0.80526802 0.21295820 -0.55334639\nsite -143.944425 299.908950 324.899407 -0.85228507 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "E44-R5011-3.00wt (clc-E44-R5011-3.00wt.txt)"
    },
    {
     "label": "B",
     "value": "E44-R5011-2.20wt (clc-E44-R5011-2.20wt.txt)"
    },
    {
     "label": "C",
     "value": "E44-R5011-2.40wt (clc-E44-R5011-2.40wt.txt)"
    },
    {
     "label": "D",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-RUTILE",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of rutile (TiO2, COD 9004141). Treat the crystal as infinite and periodic. Around the Ti atom at fractional (0.0000, 0.0000, 0.0000), how many O atoms lie at the shortest Ti–O distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "常规晶胞（四方 P4₂/mnm）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；周期晶体；问最短距离及该距离上的原子数（0.001 Å 内视为同一距离）。",
   "inputs": [
    {
     "name": "FA-COORD-RUTILE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "rutile (TiO2, COD 9004141); cell a = 4.59300 b = 4.59300 c = 2.95900 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 6 atoms; element x y z (fractional)\nO 0.19490000 0.80510000 0.50000000\nO 0.30510000 0.30510000 0.00000000\nO 0.69490000 0.69490000 0.00000000\nO 0.80510000 0.19490000 0.50000000\nTi 0.00000000 0.00000000 0.00000000\nTi 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2 at 2.959 Å"
    },
    {
     "label": "B",
     "value": "2 at 1.982 Å"
    },
    {
     "label": "C",
     "value": "6 at 1.947 Å"
    },
    {
     "label": "D",
     "value": "4 at 1.947 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-ZNO",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of zincite (ZnO, COD 2300112). Treat the crystal as infinite and periodic. Around the Zn atom at fractional (0.3333, 0.6667, 0.0000), how many O atoms lie at the shortest Zn–O distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "常规晶胞（六方 P6₃mc）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；周期晶体；问最短距离及该距离上的原子数（0.001 Å 内视为同一距离）。",
   "inputs": [
    {
     "name": "FA-COORD-ZNO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "zincite (ZnO, COD 2300112); cell a = 3.24940 b = 3.24940 c = 5.20540 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 4 atoms; element x y z (fractional)\nO 0.33333333 0.66666667 0.38230000\nO 0.66666667 0.33333333 0.88230000\nZn 0.33333333 0.66666667 0.00000000\nZn 0.66666667 0.33333333 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3 at 1.974 Å"
    },
    {
     "label": "B",
     "value": "4 at 1.974 Å"
    },
    {
     "label": "C",
     "value": "1 at 1.990 Å"
    },
    {
     "label": "D",
     "value": "6 at 3.208 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-QUARTZ",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of alpha-quartz (SiO2, COD 5000035). Treat the crystal as infinite and periodic. Around the Si atom at fractional (0.0000, 0.4701, 0.3333), how many O atoms lie at the shortest Si–O distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "常规晶胞（三方 P3₂21）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；周期晶体；问最短距离及该距离上的原子数（0.001 Å 内视为同一距离）。",
   "inputs": [
    {
     "name": "FA-COORD-QUARTZ-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "alpha-quartz (SiO2, COD 5000035); cell a = 4.91239 b = 4.91239 c = 5.40385 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 9 atoms; element x y z (fractional)\nO 0.14650000 0.73260000 0.54773333\nO 0.26740000 0.41390000 0.21440000\nO 0.41390000 0.26740000 0.78560000\nO 0.58610000 0.85350000 0.88106667\nO 0.73260000 0.14650000 0.45226667\nO 0.85350000 0.58610000 0.11893333\nSi 0.00000000 0.47010000 0.33333333\nSi 0.47010000 0.00000000 0.66666667\nSi 0.52990000 0.52990000 0.00000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4 at 1.605 Å"
    },
    {
     "label": "B",
     "value": "2 at 1.605 Å"
    },
    {
     "label": "C",
     "value": "1 at 1.605 Å"
    },
    {
     "label": "D",
     "value": "2 at 1.611 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-RUTILE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of rutile (TiO2, COD 9004141). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Ti = 22). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（四方 P4₂/mnm）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-RUTILE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "rutile (TiO2, COD 9004141); cell a = 4.59300 b = 4.59300 c = 2.95900 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 6 atoms; element x y z (fractional)\nO 0.19490000 0.80510000 0.50000000\nO 0.30510000 0.30510000 0.00000000\nO 0.69490000 0.69490000 0.00000000\nO 0.80510000 0.19490000 0.50000000\nTi 0.00000000 0.00000000 0.00000000\nTi 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "27.44",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "36.08",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "56.64",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "62.75",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-ZNO",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of zincite (ZnO, COD 2300112). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（六方 P6₃mc）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-ZNO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "zincite (ZnO, COD 2300112); cell a = 3.24940 b = 3.24940 c = 5.20540 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 4 atoms; element x y z (fractional)\nO 0.33333333 0.66666667 0.38230000\nO 0.66666667 0.33333333 0.88230000\nZn 0.33333333 0.66666667 0.00000000\nZn 0.66666667 0.33333333 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "17.02",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "31.77",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "34.43",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "56.60",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-QUARTZ",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of alpha-quartz (SiO2, COD 5000035). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Si = 14). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（三方 P3₂21）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-QUARTZ-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "alpha-quartz (SiO2, COD 5000035); cell a = 4.91239 b = 4.91239 c = 5.40385 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 9 atoms; element x y z (fractional)\nO 0.14650000 0.73260000 0.54773333\nO 0.26740000 0.41390000 0.21440000\nO 0.41390000 0.26740000 0.78560000\nO 0.58610000 0.85350000 0.88106667\nO 0.73260000 0.14650000 0.45226667\nO 0.85350000 0.58610000 0.11893333\nSi 0.00000000 0.47010000 0.33333333\nSi 0.47010000 0.00000000 0.66666667\nSi 0.52990000 0.52990000 0.00000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "16.39",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "18.04",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "20.86",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "26.65",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-RUTILE",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of rutile (TiO2, COD 9004141) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (O = 8, Ti = 22). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规晶胞（四方 P4₂/mnm）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；零角度原子序数权重；(h k l) 取 0–4。",
   "inputs": [
    {
     "name": "FA-EXT-RUTILE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "rutile (TiO2, COD 9004141); cell a = 4.59300 b = 4.59300 c = 2.95900 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 6 atoms; element x y z (fractional)\nO 0.19490000 0.80510000 0.50000000\nO 0.30510000 0.30510000 0.00000000\nO 0.69490000 0.69490000 0.00000000\nO 0.80510000 0.19490000 0.50000000\nTi 0.00000000 0.00000000 0.00000000\nTi 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(1 0 1)"
    },
    {
     "label": "B",
     "value": "(2 2 1)"
    },
    {
     "label": "C",
     "value": "(0 1 0)"
    },
    {
     "label": "D",
     "value": "(2 1 0)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-BROOKITE",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of brookite (TiO2, COD 9004137) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (O = 8, Ti = 22). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规晶胞（正交 Pbca）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；零角度原子序数权重；(h k l) 取 0–4。",
   "inputs": [
    {
     "name": "FA-EXT-BROOKITE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "brookite (TiO2, COD 9004137); cell a = 9.17400 b = 5.44900 c = 5.13800 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 24 atoms; element x y z (fractional)\nO 0.00950000 0.14910000 0.18350000\nO 0.00950000 0.35090000 0.68350000\nO 0.23140000 0.11100000 0.53660000\nO 0.23140000 0.38900000 0.03660000\nO 0.26860000 0.61100000 0.53660000\nO 0.26860000 0.88900000 0.03660000\nO 0.49050000 0.64910000 0.18350000\nO 0.49050000 0.85090000 0.68350000\nO 0.50950000 0.14910000 0.31650000\nO 0.50950000 0.35090000 0.81650000\nO 0.73140000 0.11100000 0.96340000\nO 0.73140000 0.38900000 0.46340000\nO 0.76860000 0.61100000 0.96340000\nO 0.76860000 0.88900000 0.46340000\nO 0.99050000 0.64910000 0.31650000\nO 0.99050000 0.85090000 0.81650000\nTi 0.12890000 0.09720000 0.86280000\nTi 0.12890000 0.40280000 0.36280000\nTi 0.37110000 0.59720000 0.86280000\nTi 0.37110000 0.90280000 0.36280000\nTi 0.62890000 0.09720000 0.63720000\nTi 0.62890000 0.40280000 0.13720000\nTi 0.87110000 0.59720000 0.63720000\nTi 0.87110000 0.90280000 0.13720000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(2 1 1)"
    },
    {
     "label": "B",
     "value": "(1 1 1)"
    },
    {
     "label": "C",
     "value": "(1 0 2)"
    },
    {
     "label": "D",
     "value": "(0 1 3)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-ZNO",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of zincite (ZnO, COD 2300112) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (O = 8, Zn = 30). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规晶胞（六方 P6₃mc）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；零角度原子序数权重；(h k l) 取 0–4。",
   "inputs": [
    {
     "name": "FA-EXT-ZNO-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "zincite (ZnO, COD 2300112); cell a = 3.24940 b = 3.24940 c = 5.20540 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 4 atoms; element x y z (fractional)\nO 0.33333333 0.66666667 0.38230000\nO 0.66666667 0.33333333 0.88230000\nZn 0.33333333 0.66666667 0.00000000\nZn 0.66666667 0.33333333 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(2 2 1)"
    },
    {
     "label": "B",
     "value": "(1 1 0)"
    },
    {
     "label": "C",
     "value": "(3 0 0)"
    },
    {
     "label": "D",
     "value": "(1 0 0)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1RYP",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1RYP-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1RYP-residue-points.xyz",
     "sha256": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b",
     "chars": 157609
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "5.74",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "19.14",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "20.09",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "24.41",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1RYP",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1RYP-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1RYP-residue-points.xyz",
     "sha256": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b",
     "chars": 157609
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "5.97",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "7.41",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "10.05",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "24.41",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1STM",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite panicum mosaic virus capsid: the five deposited chains of PDB 1STM expanded with the 12 operators of its biological assembly (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "inputs": [
    {
     "name": "1STM-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1STM-capsid-CA.xyz",
     "sha256": "d0ca3d1327090ca0225199ba8f0aa62273c2e57ccc1339d5969056f9e47402f2",
     "chars": 203770
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "8.54",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "16.28",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "17.07",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "28.19",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1STM",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite panicum mosaic virus capsid: the five deposited chains of PDB 1STM expanded with the 12 operators of its biological assembly (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "inputs": [
    {
     "name": "1STM-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1STM-capsid-CA.xyz",
     "sha256": "d0ca3d1327090ca0225199ba8f0aa62273c2e57ccc1339d5969056f9e47402f2",
     "chars": 203770
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.61",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "7.00",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "18.07",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "28.19",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-2BUK",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "inputs": [
    {
     "name": "2BUK-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/2BUK-capsid-CA.xyz",
     "sha256": "4ddb1d08c9ba1ac319f3e7f38ad59459ff6a6c8c80e2f3bac70db72fd8558147",
     "chars": 263856
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4.53",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "9.72",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "10.13",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "19.44",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-2BUK",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "inputs": [
    {
     "name": "2BUK-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/2BUK-capsid-CA.xyz",
     "sha256": "4ddb1d08c9ba1ac319f3e7f38ad59459ff6a6c8c80e2f3bac70db72fd8558147",
     "chars": 263856
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4.53",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "7.53",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "7.85",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "33.13",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-1RYP",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the yeast 20S proteasome (PDB 1RYP). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.15 nm⁻¹?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1RYP-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1RYP-residue-points.xyz",
     "sha256": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b",
     "chars": 157609
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.449",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.503",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.733",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.765",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-GUIN-1STM",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms (60 copies) of the satellite panicum mosaic virus capsid (PDB 1STM). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.12 nm⁻¹?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "inputs": [
    {
     "name": "1STM-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1STM-capsid-CA.xyz",
     "sha256": "d0ca3d1327090ca0225199ba8f0aa62273c2e57ccc1339d5969056f9e47402f2",
     "chars": 203770
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.494",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.791",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.889",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.925",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-1RYP",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.300 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1RYP-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1RYP-residue-points.xyz",
     "sha256": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b",
     "chars": 157609
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.040",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.064",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.109",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.330",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-2BUK",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.250 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "inputs": [
    {
     "name": "2BUK-capsid-CA.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/2BUK-capsid-CA.xyz",
     "sha256": "4ddb1d08c9ba1ac319f3e7f38ad59459ff6a6c8c80e2f3bac70db72fd8558147",
     "chars": 263856
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.227",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.277",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.442",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.477",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1RYP",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "inputs": [
    {
     "name": "1RYP-residue-points.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "url": "assets/families/assemblies/1RYP-residue-points.xyz",
     "sha256": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b",
     "chars": 157609
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.038",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.139",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.190",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.239",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-T-1STM",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite panicum mosaic virus capsid (PDB 1STM), generated with the operators of its biological assembly; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "inputs": [
    {
     "name": "1STM-subunit-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1STM satellite panicum mosaic virus capsid: CA centroid of each capsid-protein copy of assembly 1; columns: component copy x y z (angstrom)\nCP A.01 5.609 54.872 39.916\nCP B.01 26.168 35.233 52.054\nCP C.01 10.564 12.531 66.084\nCP D.01 -19.640 18.141 62.617\nCP E.01 -22.702 44.309 46.444\nCP A.02 35.233 52.054 26.168\nCP B.02 12.531 66.084 10.564\nCP C.02 18.141 62.617 -19.640\nCP D.02 44.309 46.444 -22.702\nCP E.02 54.872 39.916 5.609\nCP A.03 -18.141 -62.617 -19.640\nCP B.03 -44.309 -46.444 -22.701\nCP C.03 -54.872 -39.916 5.609\nCP D.03 -35.233 -52.054 26.168\nCP E.03 -12.531 -66.084 10.564\nCP A.04 -22.702 -44.309 -46.444\nCP B.04 5.609 -54.872 -39.916\nCP C.04 26.168 -35.233 -52.054\nCP D.04 10.564 -12.531 -66.084\nCP E.04 -19.640 -18.141 -62.617\nCP A.05 -54.872 39.916 -5.609\nCP B.05 -35.233 52.054 -26.168\nCP C.05 -12.531 66.084 -10.564\nCP D.05 -18.141 62.617 19.640\nCP E.05 -44.309 46.444 22.702\nCP A.06 -52.054 26.168 -35.233\nCP B.06 -66.084 10.564 -12.531\nCP C.06 -62.617 -19.640 -18.141\nCP D.06 -46.444 -22.702 -44.309\nCP E.06 -39.916 5.609 -54.872\nCP A.07 62.617 -19.640 18.141\nCP B.07 46.444 -22.701 44.309\nCP C.07 39.916 5.609 54.872\nCP D.07 52.054 26.168 35.233\nCP E.07 66.084 10.564 12.531\nCP A.08 44.309 -46.444 22.702\nCP B.08 54.872 -39.916 -5.609\nCP C.08 35.233 -52.054 -26.168\nCP D.08 12.531 -66.084 -10.564\nCP E.08 18.141 -62.617 19.640\nCP A.09 -39.916 -5.609 54.872\nCP B.09 -52.054 -26.168 35.233\nCP C.09 -66.084 -10.564 12.531\nCP D.09 -62.617 19.640 18.141\nCP E.09 -46.444 22.702 44.309\nCP A.10 -26.168 -35.233 52.054\nCP B.10 -10.564 -12.531 66.084\nCP C.10 19.640 -18.141 62.617\nCP D.10 22.702 -44.309 46.444\nCP E.10 -5.609 -54.872 39.916\nCP A.11 19.640 18.141 -62.617\nCP B.11 22.701 44.309 -46.444\nCP C.11 -5.609 54.872 -39.916\nCP D.11 -26.168 35.233 -52.054\nCP E.11 -10.564 12.531 -66.084\nCP A.12 46.444 22.702 -44.309\nCP B.12 39.916 -5.609 -54.872\nCP C.12 52.054 -26.168 -35.233\nCP D.12 66.084 -10.564 -12.531\nCP E.12 62.617 19.640 -18.141\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1",
     "unit": ""
    },
    {
     "label": "B",
     "value": "3",
     "unit": ""
    },
    {
     "label": "C",
     "value": "4",
     "unit": ""
    },
    {
     "label": "D",
     "value": "9",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-CAPS-2BUK",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite tobacco necrosis virus capsid (PDB 2BUK), generated with the 60 operators of its biological assembly; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "inputs": [
    {
     "name": "2BUK-subunit-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2BUK satellite tobacco necrosis virus capsid: CA centroid of each capsid-protein copy of assembly 1; columns: component copy x y z (angstrom)\nCP A.01 46.460 48.812 -5.715\nCP A.02 26.295 24.817 -8.033\nCP A.03 7.853 25.137 17.414\nCP A.04 16.621 49.329 35.459\nCP A.05 40.482 63.961 21.164\nCP A.06 66.606 27.452 -24.698\nCP A.07 89.419 45.689 -13.091\nCP A.08 115.638 28.457 -11.255\nCP A.09 109.029 -0.428 -21.728\nCP A.10 78.725 -1.049 -30.036\nCP A.11 74.648 -39.406 111.872\nCP A.12 79.278 -10.006 121.969\nCP A.13 52.093 5.549 119.370\nCP A.14 30.662 -14.237 107.666\nCP A.15 44.602 -42.021 103.032\nCP A.16 108.566 -36.858 103.782\nCP A.17 101.288 -60.500 84.395\nCP A.18 120.695 -59.144 59.712\nCP A.19 139.967 -34.664 63.843\nCP A.20 132.471 -20.891 91.080\nCP A.21 42.096 -54.117 2.716\nCP A.22 17.332 -36.148 9.900\nCP A.23 19.595 -9.465 -6.552\nCP A.24 45.757 -10.944 -23.905\nCP A.25 59.663 -38.541 -18.177\nCP A.26 36.888 -65.923 35.210\nCP A.27 66.873 -74.829 32.156\nCP A.28 79.945 -74.892 60.736\nCP A.29 58.040 -66.026 81.455\nCP A.30 31.429 -60.482 65.679\nCP A.31 98.588 70.329 63.751\nCP A.32 119.067 61.676 41.536\nCP A.33 104.219 62.358 13.844\nCP A.34 74.565 71.431 18.945\nCP A.35 71.085 76.358 49.789\nCP A.36 118.707 49.711 83.563\nCP A.37 93.007 49.300 101.649\nCP A.38 92.520 22.000 117.212\nCP A.39 117.918 5.539 108.745\nCP A.40 134.103 22.665 87.949\nCP A.41 4.884 5.567 78.462\nCP A.42 -1.499 11.697 48.305\nCP A.43 0.438 -15.277 32.291\nCP A.44 8.019 -38.076 52.551\nCP A.45 10.766 -25.194 81.086\nCP A.46 16.092 38.679 77.837\nCP A.47 32.076 29.209 103.185\nCP A.48 58.337 46.371 105.078\nCP A.49 58.583 66.447 80.900\nCP A.50 32.474 61.693 64.063\nCP A.51 128.556 -31.085 2.532\nCP A.52 126.490 -51.879 26.007\nCP A.53 99.739 -67.976 22.396\nCP A.54 85.272 -57.130 -3.310\nCP A.55 103.082 -34.330 -15.587\nCP A.56 146.749 -13.162 26.410\nCP A.57 139.213 10.973 7.743\nCP A.58 137.765 36.882 25.474\nCP A.59 144.406 28.759 55.099\nCP A.60 149.958 -2.170 55.678\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0",
     "unit": ""
    },
    {
     "label": "B",
     "value": "10",
     "unit": ""
    },
    {
     "label": "C",
     "value": "12",
     "unit": ""
    },
    {
     "label": "D",
     "value": "60",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1CWP",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "11.88",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "24.21",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "30.67",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "41.53",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1CWP",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.86",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "9.38",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "11.88",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "41.53",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-1SVA",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "inputs": [
    {
     "name": "1SVA-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1SVA simian virus 40 capsid: CA centroid of every protein chain of assembly 1 (6 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nVP1 A.01 7.021 14.689 212.252\nVP1 B.01 5.616 49.932 207.296\nVP1 C.01 37.979 57.625 202.258\nVP1 D.01 58.107 28.795 202.447\nVP1 E.01 38.422 3.502 208.312\nVP1 F.01 -8.020 89.844 194.875\nVP1 A.02 96.412 78.614 172.744\nVP1 B.02 64.988 93.567 180.328\nVP1 C.02 66.246 122.040 162.448\nVP1 D.02 95.884 123.966 143.627\nVP1 E.02 113.196 97.207 150.400\nVP1 F.02 22.274 98.654 189.431\nVP1 A.03 52.565 170.687 115.840\nVP1 B.03 34.549 155.084 142.308\nVP1 C.03 2.963 164.813 136.013\nVP1 D.03 1.153 183.938 106.563\nVP1 E.03 31.537 186.657 95.117\nVP1 F.03 21.786 125.884 172.601\nVP1 A.04 -63.925 163.666 120.180\nVP1 B.04 -43.636 149.468 145.779\nVP1 C.04 -64.414 126.834 159.485\nVP1 D.04 -95.172 125.831 142.475\nVP1 E.04 -93.705 148.235 118.863\nVP1 F.04 -8.810 133.904 167.645\nVP1 A.05 -92.072 67.254 179.765\nVP1 B.05 -61.517 84.480 185.944\nVP1 C.05 -42.773 60.588 200.427\nVP1 D.05 -59.972 29.947 201.734\nVP1 E.05 -89.450 35.039 188.821\nVP1 F.05 -27.231 111.630 181.411\nVP1 A.06 -7.021 -14.689 212.252\nVP1 B.06 -5.616 -49.932 207.296\nVP1 C.06 -37.979 -57.625 202.258\nVP1 D.06 -58.107 -28.795 202.447\nVP1 E.06 -38.422 -3.502 208.312\nVP1 F.06 8.020 -89.844 194.875\nVP1 A.07 -96.412 -78.614 172.744\nVP1 B.07 -64.988 -93.567 180.328\nVP1 C.07 -66.246 -122.040 162.448\nVP1 D.07 -95.884 -123.966 143.627\nVP1 E.07 -113.196 -97.207 150.400\nVP1 F.07 -22.274 -98.654 189.431\nVP1 A.08 -52.565 -170.687 115.840\nVP1 B.08 -34.549 -155.084 142.308\nVP1 C.08 -2.963 -164.813 136.013\nVP1 D.08 -1.153 -183.938 106.563\nVP1 E.08 -31.537 -186.657 95.117\nVP1 F.08 -21.786 -125.884 172.601\nVP1 A.09 63.925 -163.666 120.180\nVP1 B.09 43.636 -149.468 145.779\nVP1 C.09 64.414 -126.834 159.485\nVP1 D.09 95.172 -125.831 142.475\nVP1 E.09 93.705 -148.235 118.863\nVP1 F.09 8.810 -133.904 167.645\nVP1 A.10 92.072 -67.254 179.765\nVP1 B.10 61.517 -84.480 185.944\nVP1 C.10 42.773 -60.588 200.427\nVP1 D.10 59.972 -29.947 201.734\nVP1 E.10 89.450 -35.039 188.821\nVP1 F.10 27.231 -111.630 181.411\nVP1 A.11 -7.021 14.689 -212.252\nVP1 B.11 -5.616 49.932 -207.296\nVP1 C.11 -37.979 57.625 -202.258\nVP1 D.11 -58.107 28.795 -202.447\nVP1 E.11 -38.422 3.502 -208.312\nVP1 F.11 8.020 89.844 -194.875\nVP1 A.12 -96.412 78.614 -172.744\nVP1 B.12 -64.988 93.567 -180.328\nVP1 C.12 -66.246 122.040 -162.448\nVP1 D.12 -95.884 123.966 -143.627\nVP1 E.12 -113.196 97.207 -150.400\nVP1 F.12 -22.274 98.654 -189.431\nVP1 A.13 -52.565 170.687 -115.840\nVP1 B.13 -34.549 155.084 -142.308\nVP1 C.13 -2.963 164.813 -136.013\nVP1 D.13 -1.153 183.938 -106.563\nVP1 E.13 -31.537 186.657 -95.117\nVP1 F.13 -21.786 125.884 -172.601\nVP1 A.14 63.925 163.666 -120.180\nVP1 B.14 43.636 149.468 -145.779\nVP1 C.14 64.414 126.834 -159.485\nVP1 D.14 95.172 125.831 -142.475\nVP1 E.14 93.705 148.235 -118.863\nVP1 F.14 8.810 133.904 -167.645\nVP1 A.15 92.072 67.254 -179.765\nVP1 B.15 61.517 84.480 -185.944\nVP1 C.15 42.773 60.588 -200.427\nVP1 D.15 59.972 29.947 -201.734\nVP1 E.15 89.450 35.039 -188.821\nVP1 F.15 27.231 111.630 -181.411\nVP1 A.16 7.021 -14.689 -212.252\nVP1 B.16 5.616 -49.932 -207.296\nVP1 C.16 37.979 -57.625 -202.258\nVP1 D.16 58.107 -28.795 -202.447\nVP1 E.16 38.422 -3.502 -208.312\nVP1 F.16 -8.020 -89.844 -194.875\nVP1 A.17 96.412 -78.614 -172.744\nVP1 B.17 64.988 -93.567 -180.328\nVP1 C.17 66.246 -122.040 -162.448\nVP1 D.17 95.884 -123.966 -143.627\nVP1 E.17 113.196 -97.207 -150.400\nVP1 F.17 22.274 -98.654 -189.431\nVP1 A.18 52.565 -170.687 -115.840\nVP1 B.18 34.549 -155.084 -142.308\nVP1 C.18 2.963 -164.813 -136.013\nVP1 D.18 1.153 -183.938 -106.563\nVP1 E.18 31.537 -186.657 -95.117\nVP1 F.18 21.786 -125.884 -172.601\nVP1 A.19 -63.925 -163.666 -120.180\nVP1 B.19 -43.636 -149.468 -145.779\nVP1 C.19 -64.414 -126.834 -159.485\nVP1 D.19 -95.172 -125.831 -142.475\nVP1 E.19 -93.705 -148.235 -118.863\nVP1 F.19 -8.810 -133.904 -167.645\nVP1 A.20 -92.072 -67.254 -179.765\nVP1 B.20 -61.517 -84.480 -185.944\nVP1 C.20 -42.773 -60.588 -200.427\nVP1 D.20 -59.972 -29.947 -201.734\nVP1 E.20 -89.450 -35.039 -188.821\nVP1 F.20 -27.231 -111.630 -181.411\nVP1 A.21 212.252 7.021 14.689\nVP1 B.21 207.296 5.616 49.932\nVP1 C.21 202.258 37.979 57.625\nVP1 D.21 202.447 58.107 28.795\nVP1 E.21 208.312 38.422 3.502\nVP1 F.21 194.875 -8.020 89.844\nVP1 A.22 172.744 96.412 78.614\nVP1 B.22 180.328 64.988 93.567\nVP1 C.22 162.448 66.246 122.040\nVP1 D.22 143.627 95.884 123.966\nVP1 E.22 150.400 113.196 97.207\nVP1 F.22 189.431 22.274 98.654\nVP1 A.23 115.840 52.565 170.687\nVP1 B.23 142.308 34.549 155.084\nVP1 C.23 136.013 2.963 164.813\nVP1 D.23 106.563 1.153 183.938\nVP1 E.23 95.117 31.537 186.657\nVP1 F.23 172.601 21.786 125.884\nVP1 A.24 120.180 -63.925 163.666\nVP1 B.24 145.779 -43.636 149.468\nVP1 C.24 159.485 -64.414 126.834\nVP1 D.24 142.475 -95.172 125.831\nVP1 E.24 118.863 -93.705 148.235\nVP1 F.24 167.645 -8.810 133.904\nVP1 A.25 179.765 -92.072 67.254\nVP1 B.25 185.944 -61.517 84.480\nVP1 C.25 200.427 -42.773 60.588\nVP1 D.25 201.734 -59.972 29.947\nVP1 E.25 188.821 -89.450 35.039\nVP1 F.25 181.411 -27.231 111.630\nVP1 A.26 212.252 -7.021 -14.689\nVP1 B.26 207.296 -5.616 -49.932\nVP1 C.26 202.258 -37.979 -57.625\nVP1 D.26 202.447 -58.107 -28.795\nVP1 E.26 208.312 -38.422 -3.502\nVP1 F.26 194.875 8.020 -89.844\nVP1 A.27 172.744 -96.412 -78.614\nVP1 B.27 180.328 -64.988 -93.567\nVP1 C.27 162.448 -66.246 -122.040\nVP1 D.27 143.627 -95.884 -123.966\nVP1 E.27 150.400 -113.196 -97.207\nVP1 F.27 189.431 -22.274 -98.654\nVP1 A.28 115.840 -52.565 -170.687\nVP1 B.28 142.308 -34.549 -155.084\nVP1 C.28 136.013 -2.963 -164.813\nVP1 D.28 106.563 -1.153 -183.938\nVP1 E.28 95.117 -31.537 -186.657\nVP1 F.28 172.601 -21.786 -125.884\nVP1 A.29 120.180 63.925 -163.666\nVP1 B.29 145.779 43.636 -149.468\nVP1 C.29 159.485 64.414 -126.834\nVP1 D.29 142.475 95.172 -125.831\nVP1 E.29 118.863 93.705 -148.235\nVP1 F.29 167.645 8.810 -133.904\nVP1 A.30 179.765 92.072 -67.254\nVP1 B.30 185.944 61.517 -84.480\nVP1 C.30 200.427 42.773 -60.588\nVP1 D.30 201.734 59.972 -29.947\nVP1 E.30 188.821 89.450 -35.039\nVP1 F.30 181.411 27.231 -111.630\nVP1 A.31 -212.252 -7.021 14.689\nVP1 B.31 -207.296 -5.616 49.932\nVP1 C.31 -202.258 -37.979 57.625\nVP1 D.31 -202.447 -58.107 28.795\nVP1 E.31 -208.312 -38.422 3.502\nVP1 F.31 -194.875 8.020 89.844\nVP1 A.32 -172.744 -96.412 78.614\nVP1 B.32 -180.328 -64.988 93.567\nVP1 C.32 -162.448 -66.246 122.040\nVP1 D.32 -143.627 -95.884 123.966\nVP1 E.32 -150.400 -113.196 97.207\nVP1 F.32 -189.431 -22.274 98.654\nVP1 A.33 -115.840 -52.565 170.687\nVP1 B.33 -142.308 -34.549 155.084\nVP1 C.33 -136.013 -2.963 164.813\nVP1 D.33 -106.563 -1.153 183.938\nVP1 E.33 -95.117 -31.537 186.657\nVP1 F.33 -172.601 -21.786 125.884\nVP1 A.34 -120.180 63.925 163.666\nVP1 B.34 -145.779 43.636 149.468\nVP1 C.34 -159.485 64.414 126.834\nVP1 D.34 -142.475 95.172 125.831\nVP1 E.34 -118.863 93.705 148.235\nVP1 F.34 -167.645 8.810 133.904\nVP1 A.35 -179.765 92.072 67.254\nVP1 B.35 -185.944 61.517 84.480\nVP1 C.35 -200.427 42.773 60.588\nVP1 D.35 -201.734 59.972 29.947\nVP1 E.35 -188.821 89.450 35.039\nVP1 F.35 -181.411 27.231 111.630\nVP1 A.36 -212.252 7.021 -14.689\nVP1 B.36 -207.296 5.616 -49.932\nVP1 C.36 -202.258 37.979 -57.625\nVP1 D.36 -202.447 58.107 -28.795\nVP1 E.36 -208.312 38.422 -3.502\nVP1 F.36 -194.875 -8.020 -89.844\nVP1 A.37 -172.744 96.412 -78.614\nVP1 B.37 -180.328 64.988 -93.567\nVP1 C.37 -162.448 66.246 -122.040\nVP1 D.37 -143.627 95.884 -123.966\nVP1 E.37 -150.400 113.196 -97.207\nVP1 F.37 -189.431 22.274 -98.654\nVP1 A.38 -115.840 52.565 -170.687\nVP1 B.38 -142.308 34.549 -155.084\nVP1 C.38 -136.013 2.963 -164.813\nVP1 D.38 -106.563 1.153 -183.938\nVP1 E.38 -95.117 31.537 -186.657\nVP1 F.38 -172.601 21.786 -125.884\nVP1 A.39 -120.180 -63.925 -163.666\nVP1 B.39 -145.779 -43.636 -149.468\nVP1 C.39 -159.485 -64.414 -126.834\nVP1 D.39 -142.475 -95.172 -125.831\nVP1 E.39 -118.863 -93.705 -148.235\nVP1 F.39 -167.645 -8.810 -133.904\nVP1 A.40 -179.765 -92.072 -67.254\nVP1 B.40 -185.944 -61.517 -84.480\nVP1 C.40 -200.427 -42.773 -60.588\nVP1 D.40 -201.734 -59.972 -29.947\nVP1 E.40 -188.821 -89.450 -35.039\nVP1 F.40 -181.411 -27.231 -111.630\nVP1 A.41 14.689 212.252 7.021\nVP1 B.41 49.932 207.296 5.616\nVP1 C.41 57.625 202.258 37.979\nVP1 D.41 28.795 202.447 58.107\nVP1 E.41 3.502 208.312 38.422\nVP1 F.41 89.844 194.875 -8.020\nVP1 A.42 78.614 172.744 96.412\nVP1 B.42 93.567 180.328 64.988\nVP1 C.42 122.040 162.448 66.246\nVP1 D.42 123.966 143.627 95.884\nVP1 E.42 97.207 150.400 113.196\nVP1 F.42 98.654 189.431 22.274\nVP1 A.43 170.687 115.840 52.565\nVP1 B.43 155.084 142.308 34.549\nVP1 C.43 164.813 136.013 2.963\nVP1 D.43 183.938 106.563 1.153\nVP1 E.43 186.657 95.117 31.537\nVP1 F.43 125.884 172.601 21.786\nVP1 A.44 163.666 120.180 -63.925\nVP1 B.44 149.468 145.779 -43.636\nVP1 C.44 126.834 159.485 -64.414\nVP1 D.44 125.831 142.475 -95.172\nVP1 E.44 148.235 118.863 -93.705\nVP1 F.44 133.904 167.645 -8.810\nVP1 A.45 67.254 179.765 -92.072\nVP1 B.45 84.480 185.944 -61.517\nVP1 C.45 60.588 200.427 -42.773\nVP1 D.45 29.947 201.734 -59.972\nVP1 E.45 35.039 188.821 -89.450\nVP1 F.45 111.630 181.411 -27.231\nVP1 A.46 -14.689 212.252 -7.021\nVP1 B.46 -49.932 207.296 -5.616\nVP1 C.46 -57.625 202.258 -37.979\nVP1 D.46 -28.795 202.447 -58.107\nVP1 E.46 -3.502 208.312 -38.422\nVP1 F.46 -89.844 194.875 8.020\nVP1 A.47 -78.614 172.744 -96.412\nVP1 B.47 -93.567 180.328 -64.988\nVP1 C.47 -122.040 162.448 -66.246\nVP1 D.47 -123.966 143.627 -95.884\nVP1 E.47 -97.207 150.400 -113.196\nVP1 F.47 -98.654 189.431 -22.274\nVP1 A.48 -170.687 115.840 -52.565\nVP1 B.48 -155.084 142.308 -34.549\nVP1 C.48 -164.813 136.013 -2.963\nVP1 D.48 -183.938 106.563 -1.153\nVP1 E.48 -186.657 95.117 -31.537\nVP1 F.48 -125.884 172.601 -21.786\nVP1 A.49 -163.666 120.180 63.925\nVP1 B.49 -149.468 145.779 43.636\nVP1 C.49 -126.834 159.485 64.414\nVP1 D.49 -125.831 142.475 95.172\nVP1 E.49 -148.235 118.863 93.705\nVP1 F.49 -133.904 167.645 8.810\nVP1 A.50 -67.254 179.765 92.072\nVP1 B.50 -84.480 185.944 61.517\nVP1 C.50 -60.588 200.427 42.773\nVP1 D.50 -29.947 201.734 59.972\nVP1 E.50 -35.039 188.821 89.450\nVP1 F.50 -111.630 181.411 27.231\nVP1 A.51 14.689 -212.252 -7.021\nVP1 B.51 49.932 -207.296 -5.616\nVP1 C.51 57.625 -202.258 -37.979\nVP1 D.51 28.795 -202.447 -58.107\nVP1 E.51 3.502 -208.312 -38.422\nVP1 F.51 89.844 -194.875 8.020\nVP1 A.52 78.614 -172.744 -96.412\nVP1 B.52 93.567 -180.328 -64.988\nVP1 C.52 122.040 -162.448 -66.246\nVP1 D.52 123.966 -143.627 -95.884\nVP1 E.52 97.207 -150.400 -113.196\nVP1 F.52 98.654 -189.431 -22.274\nVP1 A.53 170.687 -115.840 -52.565\nVP1 B.53 155.084 -142.308 -34.549\nVP1 C.53 164.813 -136.013 -2.963\nVP1 D.53 183.938 -106.563 -1.153\nVP1 E.53 186.657 -95.117 -31.537\nVP1 F.53 125.884 -172.601 -21.786\nVP1 A.54 163.666 -120.180 63.925\nVP1 B.54 149.468 -145.779 43.636\nVP1 C.54 126.834 -159.485 64.414\nVP1 D.54 125.831 -142.475 95.172\nVP1 E.54 148.235 -118.863 93.705\nVP1 F.54 133.904 -167.645 8.810\nVP1 A.55 67.254 -179.765 92.072\nVP1 B.55 84.480 -185.944 61.517\nVP1 C.55 60.588 -200.427 42.773\nVP1 D.55 29.947 -201.734 59.972\nVP1 E.55 35.039 -188.821 89.450\nVP1 F.55 111.630 -181.411 27.231\nVP1 A.56 -14.689 -212.252 7.021\nVP1 B.56 -49.932 -207.296 5.616\nVP1 C.56 -57.625 -202.258 37.979\nVP1 D.56 -28.795 -202.447 58.107\nVP1 E.56 -3.502 -208.312 38.422\nVP1 F.56 -89.844 -194.875 -8.020\nVP1 A.57 -78.614 -172.744 96.412\nVP1 B.57 -93.567 -180.328 64.988\nVP1 C.57 -122.040 -162.448 66.246\nVP1 D.57 -123.966 -143.627 95.884\nVP1 E.57 -97.207 -150.400 113.196\nVP1 F.57 -98.654 -189.431 22.274\nVP1 A.58 -170.687 -115.840 52.565\nVP1 B.58 -155.084 -142.308 34.549\nVP1 C.58 -164.813 -136.013 2.963\nVP1 D.58 -183.938 -106.563 1.153\nVP1 E.58 -186.657 -95.117 31.537\nVP1 F.58 -125.884 -172.601 21.786\nVP1 A.59 -163.666 -120.180 -63.925\nVP1 B.59 -149.468 -145.779 -43.636\nVP1 C.59 -126.834 -159.485 -64.414\nVP1 D.59 -125.831 -142.475 -95.172\nVP1 E.59 -148.235 -118.863 -93.705\nVP1 F.59 -133.904 -167.645 -8.810\nVP1 A.60 -67.254 -179.765 -92.072\nVP1 B.60 -84.480 -185.944 -61.517\nVP1 C.60 -60.588 -200.427 -42.773\nVP1 D.60 -29.947 -201.734 -59.972\nVP1 E.60 -35.039 -188.821 -89.450\nVP1 F.60 -111.630 -181.411 -27.231\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "21.32",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "42.92",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "55.04",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "73.53",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-1SVA",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "inputs": [
    {
     "name": "1SVA-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1SVA simian virus 40 capsid: CA centroid of every protein chain of assembly 1 (6 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nVP1 A.01 7.021 14.689 212.252\nVP1 B.01 5.616 49.932 207.296\nVP1 C.01 37.979 57.625 202.258\nVP1 D.01 58.107 28.795 202.447\nVP1 E.01 38.422 3.502 208.312\nVP1 F.01 -8.020 89.844 194.875\nVP1 A.02 96.412 78.614 172.744\nVP1 B.02 64.988 93.567 180.328\nVP1 C.02 66.246 122.040 162.448\nVP1 D.02 95.884 123.966 143.627\nVP1 E.02 113.196 97.207 150.400\nVP1 F.02 22.274 98.654 189.431\nVP1 A.03 52.565 170.687 115.840\nVP1 B.03 34.549 155.084 142.308\nVP1 C.03 2.963 164.813 136.013\nVP1 D.03 1.153 183.938 106.563\nVP1 E.03 31.537 186.657 95.117\nVP1 F.03 21.786 125.884 172.601\nVP1 A.04 -63.925 163.666 120.180\nVP1 B.04 -43.636 149.468 145.779\nVP1 C.04 -64.414 126.834 159.485\nVP1 D.04 -95.172 125.831 142.475\nVP1 E.04 -93.705 148.235 118.863\nVP1 F.04 -8.810 133.904 167.645\nVP1 A.05 -92.072 67.254 179.765\nVP1 B.05 -61.517 84.480 185.944\nVP1 C.05 -42.773 60.588 200.427\nVP1 D.05 -59.972 29.947 201.734\nVP1 E.05 -89.450 35.039 188.821\nVP1 F.05 -27.231 111.630 181.411\nVP1 A.06 -7.021 -14.689 212.252\nVP1 B.06 -5.616 -49.932 207.296\nVP1 C.06 -37.979 -57.625 202.258\nVP1 D.06 -58.107 -28.795 202.447\nVP1 E.06 -38.422 -3.502 208.312\nVP1 F.06 8.020 -89.844 194.875\nVP1 A.07 -96.412 -78.614 172.744\nVP1 B.07 -64.988 -93.567 180.328\nVP1 C.07 -66.246 -122.040 162.448\nVP1 D.07 -95.884 -123.966 143.627\nVP1 E.07 -113.196 -97.207 150.400\nVP1 F.07 -22.274 -98.654 189.431\nVP1 A.08 -52.565 -170.687 115.840\nVP1 B.08 -34.549 -155.084 142.308\nVP1 C.08 -2.963 -164.813 136.013\nVP1 D.08 -1.153 -183.938 106.563\nVP1 E.08 -31.537 -186.657 95.117\nVP1 F.08 -21.786 -125.884 172.601\nVP1 A.09 63.925 -163.666 120.180\nVP1 B.09 43.636 -149.468 145.779\nVP1 C.09 64.414 -126.834 159.485\nVP1 D.09 95.172 -125.831 142.475\nVP1 E.09 93.705 -148.235 118.863\nVP1 F.09 8.810 -133.904 167.645\nVP1 A.10 92.072 -67.254 179.765\nVP1 B.10 61.517 -84.480 185.944\nVP1 C.10 42.773 -60.588 200.427\nVP1 D.10 59.972 -29.947 201.734\nVP1 E.10 89.450 -35.039 188.821\nVP1 F.10 27.231 -111.630 181.411\nVP1 A.11 -7.021 14.689 -212.252\nVP1 B.11 -5.616 49.932 -207.296\nVP1 C.11 -37.979 57.625 -202.258\nVP1 D.11 -58.107 28.795 -202.447\nVP1 E.11 -38.422 3.502 -208.312\nVP1 F.11 8.020 89.844 -194.875\nVP1 A.12 -96.412 78.614 -172.744\nVP1 B.12 -64.988 93.567 -180.328\nVP1 C.12 -66.246 122.040 -162.448\nVP1 D.12 -95.884 123.966 -143.627\nVP1 E.12 -113.196 97.207 -150.400\nVP1 F.12 -22.274 98.654 -189.431\nVP1 A.13 -52.565 170.687 -115.840\nVP1 B.13 -34.549 155.084 -142.308\nVP1 C.13 -2.963 164.813 -136.013\nVP1 D.13 -1.153 183.938 -106.563\nVP1 E.13 -31.537 186.657 -95.117\nVP1 F.13 -21.786 125.884 -172.601\nVP1 A.14 63.925 163.666 -120.180\nVP1 B.14 43.636 149.468 -145.779\nVP1 C.14 64.414 126.834 -159.485\nVP1 D.14 95.172 125.831 -142.475\nVP1 E.14 93.705 148.235 -118.863\nVP1 F.14 8.810 133.904 -167.645\nVP1 A.15 92.072 67.254 -179.765\nVP1 B.15 61.517 84.480 -185.944\nVP1 C.15 42.773 60.588 -200.427\nVP1 D.15 59.972 29.947 -201.734\nVP1 E.15 89.450 35.039 -188.821\nVP1 F.15 27.231 111.630 -181.411\nVP1 A.16 7.021 -14.689 -212.252\nVP1 B.16 5.616 -49.932 -207.296\nVP1 C.16 37.979 -57.625 -202.258\nVP1 D.16 58.107 -28.795 -202.447\nVP1 E.16 38.422 -3.502 -208.312\nVP1 F.16 -8.020 -89.844 -194.875\nVP1 A.17 96.412 -78.614 -172.744\nVP1 B.17 64.988 -93.567 -180.328\nVP1 C.17 66.246 -122.040 -162.448\nVP1 D.17 95.884 -123.966 -143.627\nVP1 E.17 113.196 -97.207 -150.400\nVP1 F.17 22.274 -98.654 -189.431\nVP1 A.18 52.565 -170.687 -115.840\nVP1 B.18 34.549 -155.084 -142.308\nVP1 C.18 2.963 -164.813 -136.013\nVP1 D.18 1.153 -183.938 -106.563\nVP1 E.18 31.537 -186.657 -95.117\nVP1 F.18 21.786 -125.884 -172.601\nVP1 A.19 -63.925 -163.666 -120.180\nVP1 B.19 -43.636 -149.468 -145.779\nVP1 C.19 -64.414 -126.834 -159.485\nVP1 D.19 -95.172 -125.831 -142.475\nVP1 E.19 -93.705 -148.235 -118.863\nVP1 F.19 -8.810 -133.904 -167.645\nVP1 A.20 -92.072 -67.254 -179.765\nVP1 B.20 -61.517 -84.480 -185.944\nVP1 C.20 -42.773 -60.588 -200.427\nVP1 D.20 -59.972 -29.947 -201.734\nVP1 E.20 -89.450 -35.039 -188.821\nVP1 F.20 -27.231 -111.630 -181.411\nVP1 A.21 212.252 7.021 14.689\nVP1 B.21 207.296 5.616 49.932\nVP1 C.21 202.258 37.979 57.625\nVP1 D.21 202.447 58.107 28.795\nVP1 E.21 208.312 38.422 3.502\nVP1 F.21 194.875 -8.020 89.844\nVP1 A.22 172.744 96.412 78.614\nVP1 B.22 180.328 64.988 93.567\nVP1 C.22 162.448 66.246 122.040\nVP1 D.22 143.627 95.884 123.966\nVP1 E.22 150.400 113.196 97.207\nVP1 F.22 189.431 22.274 98.654\nVP1 A.23 115.840 52.565 170.687\nVP1 B.23 142.308 34.549 155.084\nVP1 C.23 136.013 2.963 164.813\nVP1 D.23 106.563 1.153 183.938\nVP1 E.23 95.117 31.537 186.657\nVP1 F.23 172.601 21.786 125.884\nVP1 A.24 120.180 -63.925 163.666\nVP1 B.24 145.779 -43.636 149.468\nVP1 C.24 159.485 -64.414 126.834\nVP1 D.24 142.475 -95.172 125.831\nVP1 E.24 118.863 -93.705 148.235\nVP1 F.24 167.645 -8.810 133.904\nVP1 A.25 179.765 -92.072 67.254\nVP1 B.25 185.944 -61.517 84.480\nVP1 C.25 200.427 -42.773 60.588\nVP1 D.25 201.734 -59.972 29.947\nVP1 E.25 188.821 -89.450 35.039\nVP1 F.25 181.411 -27.231 111.630\nVP1 A.26 212.252 -7.021 -14.689\nVP1 B.26 207.296 -5.616 -49.932\nVP1 C.26 202.258 -37.979 -57.625\nVP1 D.26 202.447 -58.107 -28.795\nVP1 E.26 208.312 -38.422 -3.502\nVP1 F.26 194.875 8.020 -89.844\nVP1 A.27 172.744 -96.412 -78.614\nVP1 B.27 180.328 -64.988 -93.567\nVP1 C.27 162.448 -66.246 -122.040\nVP1 D.27 143.627 -95.884 -123.966\nVP1 E.27 150.400 -113.196 -97.207\nVP1 F.27 189.431 -22.274 -98.654\nVP1 A.28 115.840 -52.565 -170.687\nVP1 B.28 142.308 -34.549 -155.084\nVP1 C.28 136.013 -2.963 -164.813\nVP1 D.28 106.563 -1.153 -183.938\nVP1 E.28 95.117 -31.537 -186.657\nVP1 F.28 172.601 -21.786 -125.884\nVP1 A.29 120.180 63.925 -163.666\nVP1 B.29 145.779 43.636 -149.468\nVP1 C.29 159.485 64.414 -126.834\nVP1 D.29 142.475 95.172 -125.831\nVP1 E.29 118.863 93.705 -148.235\nVP1 F.29 167.645 8.810 -133.904\nVP1 A.30 179.765 92.072 -67.254\nVP1 B.30 185.944 61.517 -84.480\nVP1 C.30 200.427 42.773 -60.588\nVP1 D.30 201.734 59.972 -29.947\nVP1 E.30 188.821 89.450 -35.039\nVP1 F.30 181.411 27.231 -111.630\nVP1 A.31 -212.252 -7.021 14.689\nVP1 B.31 -207.296 -5.616 49.932\nVP1 C.31 -202.258 -37.979 57.625\nVP1 D.31 -202.447 -58.107 28.795\nVP1 E.31 -208.312 -38.422 3.502\nVP1 F.31 -194.875 8.020 89.844\nVP1 A.32 -172.744 -96.412 78.614\nVP1 B.32 -180.328 -64.988 93.567\nVP1 C.32 -162.448 -66.246 122.040\nVP1 D.32 -143.627 -95.884 123.966\nVP1 E.32 -150.400 -113.196 97.207\nVP1 F.32 -189.431 -22.274 98.654\nVP1 A.33 -115.840 -52.565 170.687\nVP1 B.33 -142.308 -34.549 155.084\nVP1 C.33 -136.013 -2.963 164.813\nVP1 D.33 -106.563 -1.153 183.938\nVP1 E.33 -95.117 -31.537 186.657\nVP1 F.33 -172.601 -21.786 125.884\nVP1 A.34 -120.180 63.925 163.666\nVP1 B.34 -145.779 43.636 149.468\nVP1 C.34 -159.485 64.414 126.834\nVP1 D.34 -142.475 95.172 125.831\nVP1 E.34 -118.863 93.705 148.235\nVP1 F.34 -167.645 8.810 133.904\nVP1 A.35 -179.765 92.072 67.254\nVP1 B.35 -185.944 61.517 84.480\nVP1 C.35 -200.427 42.773 60.588\nVP1 D.35 -201.734 59.972 29.947\nVP1 E.35 -188.821 89.450 35.039\nVP1 F.35 -181.411 27.231 111.630\nVP1 A.36 -212.252 7.021 -14.689\nVP1 B.36 -207.296 5.616 -49.932\nVP1 C.36 -202.258 37.979 -57.625\nVP1 D.36 -202.447 58.107 -28.795\nVP1 E.36 -208.312 38.422 -3.502\nVP1 F.36 -194.875 -8.020 -89.844\nVP1 A.37 -172.744 96.412 -78.614\nVP1 B.37 -180.328 64.988 -93.567\nVP1 C.37 -162.448 66.246 -122.040\nVP1 D.37 -143.627 95.884 -123.966\nVP1 E.37 -150.400 113.196 -97.207\nVP1 F.37 -189.431 22.274 -98.654\nVP1 A.38 -115.840 52.565 -170.687\nVP1 B.38 -142.308 34.549 -155.084\nVP1 C.38 -136.013 2.963 -164.813\nVP1 D.38 -106.563 1.153 -183.938\nVP1 E.38 -95.117 31.537 -186.657\nVP1 F.38 -172.601 21.786 -125.884\nVP1 A.39 -120.180 -63.925 -163.666\nVP1 B.39 -145.779 -43.636 -149.468\nVP1 C.39 -159.485 -64.414 -126.834\nVP1 D.39 -142.475 -95.172 -125.831\nVP1 E.39 -118.863 -93.705 -148.235\nVP1 F.39 -167.645 -8.810 -133.904\nVP1 A.40 -179.765 -92.072 -67.254\nVP1 B.40 -185.944 -61.517 -84.480\nVP1 C.40 -200.427 -42.773 -60.588\nVP1 D.40 -201.734 -59.972 -29.947\nVP1 E.40 -188.821 -89.450 -35.039\nVP1 F.40 -181.411 -27.231 -111.630\nVP1 A.41 14.689 212.252 7.021\nVP1 B.41 49.932 207.296 5.616\nVP1 C.41 57.625 202.258 37.979\nVP1 D.41 28.795 202.447 58.107\nVP1 E.41 3.502 208.312 38.422\nVP1 F.41 89.844 194.875 -8.020\nVP1 A.42 78.614 172.744 96.412\nVP1 B.42 93.567 180.328 64.988\nVP1 C.42 122.040 162.448 66.246\nVP1 D.42 123.966 143.627 95.884\nVP1 E.42 97.207 150.400 113.196\nVP1 F.42 98.654 189.431 22.274\nVP1 A.43 170.687 115.840 52.565\nVP1 B.43 155.084 142.308 34.549\nVP1 C.43 164.813 136.013 2.963\nVP1 D.43 183.938 106.563 1.153\nVP1 E.43 186.657 95.117 31.537\nVP1 F.43 125.884 172.601 21.786\nVP1 A.44 163.666 120.180 -63.925\nVP1 B.44 149.468 145.779 -43.636\nVP1 C.44 126.834 159.485 -64.414\nVP1 D.44 125.831 142.475 -95.172\nVP1 E.44 148.235 118.863 -93.705\nVP1 F.44 133.904 167.645 -8.810\nVP1 A.45 67.254 179.765 -92.072\nVP1 B.45 84.480 185.944 -61.517\nVP1 C.45 60.588 200.427 -42.773\nVP1 D.45 29.947 201.734 -59.972\nVP1 E.45 35.039 188.821 -89.450\nVP1 F.45 111.630 181.411 -27.231\nVP1 A.46 -14.689 212.252 -7.021\nVP1 B.46 -49.932 207.296 -5.616\nVP1 C.46 -57.625 202.258 -37.979\nVP1 D.46 -28.795 202.447 -58.107\nVP1 E.46 -3.502 208.312 -38.422\nVP1 F.46 -89.844 194.875 8.020\nVP1 A.47 -78.614 172.744 -96.412\nVP1 B.47 -93.567 180.328 -64.988\nVP1 C.47 -122.040 162.448 -66.246\nVP1 D.47 -123.966 143.627 -95.884\nVP1 E.47 -97.207 150.400 -113.196\nVP1 F.47 -98.654 189.431 -22.274\nVP1 A.48 -170.687 115.840 -52.565\nVP1 B.48 -155.084 142.308 -34.549\nVP1 C.48 -164.813 136.013 -2.963\nVP1 D.48 -183.938 106.563 -1.153\nVP1 E.48 -186.657 95.117 -31.537\nVP1 F.48 -125.884 172.601 -21.786\nVP1 A.49 -163.666 120.180 63.925\nVP1 B.49 -149.468 145.779 43.636\nVP1 C.49 -126.834 159.485 64.414\nVP1 D.49 -125.831 142.475 95.172\nVP1 E.49 -148.235 118.863 93.705\nVP1 F.49 -133.904 167.645 8.810\nVP1 A.50 -67.254 179.765 92.072\nVP1 B.50 -84.480 185.944 61.517\nVP1 C.50 -60.588 200.427 42.773\nVP1 D.50 -29.947 201.734 59.972\nVP1 E.50 -35.039 188.821 89.450\nVP1 F.50 -111.630 181.411 27.231\nVP1 A.51 14.689 -212.252 -7.021\nVP1 B.51 49.932 -207.296 -5.616\nVP1 C.51 57.625 -202.258 -37.979\nVP1 D.51 28.795 -202.447 -58.107\nVP1 E.51 3.502 -208.312 -38.422\nVP1 F.51 89.844 -194.875 8.020\nVP1 A.52 78.614 -172.744 -96.412\nVP1 B.52 93.567 -180.328 -64.988\nVP1 C.52 122.040 -162.448 -66.246\nVP1 D.52 123.966 -143.627 -95.884\nVP1 E.52 97.207 -150.400 -113.196\nVP1 F.52 98.654 -189.431 -22.274\nVP1 A.53 170.687 -115.840 -52.565\nVP1 B.53 155.084 -142.308 -34.549\nVP1 C.53 164.813 -136.013 -2.963\nVP1 D.53 183.938 -106.563 -1.153\nVP1 E.53 186.657 -95.117 -31.537\nVP1 F.53 125.884 -172.601 -21.786\nVP1 A.54 163.666 -120.180 63.925\nVP1 B.54 149.468 -145.779 43.636\nVP1 C.54 126.834 -159.485 64.414\nVP1 D.54 125.831 -142.475 95.172\nVP1 E.54 148.235 -118.863 93.705\nVP1 F.54 133.904 -167.645 8.810\nVP1 A.55 67.254 -179.765 92.072\nVP1 B.55 84.480 -185.944 61.517\nVP1 C.55 60.588 -200.427 42.773\nVP1 D.55 29.947 -201.734 59.972\nVP1 E.55 35.039 -188.821 89.450\nVP1 F.55 111.630 -181.411 27.231\nVP1 A.56 -14.689 -212.252 7.021\nVP1 B.56 -49.932 -207.296 5.616\nVP1 C.56 -57.625 -202.258 37.979\nVP1 D.56 -28.795 -202.447 58.107\nVP1 E.56 -3.502 -208.312 38.422\nVP1 F.56 -89.844 -194.875 -8.020\nVP1 A.57 -78.614 -172.744 96.412\nVP1 B.57 -93.567 -180.328 64.988\nVP1 C.57 -122.040 -162.448 66.246\nVP1 D.57 -123.966 -143.627 95.884\nVP1 E.57 -97.207 -150.400 113.196\nVP1 F.57 -98.654 -189.431 22.274\nVP1 A.58 -170.687 -115.840 52.565\nVP1 B.58 -155.084 -142.308 34.549\nVP1 C.58 -164.813 -136.013 2.963\nVP1 D.58 -183.938 -106.563 1.153\nVP1 E.58 -186.657 -95.117 31.537\nVP1 F.58 -125.884 -172.601 21.786\nVP1 A.59 -163.666 -120.180 -63.925\nVP1 B.59 -149.468 -145.779 -43.636\nVP1 C.59 -126.834 -159.485 -64.414\nVP1 D.59 -125.831 -142.475 -95.172\nVP1 E.59 -148.235 -118.863 -93.705\nVP1 F.59 -133.904 -167.645 -8.810\nVP1 A.60 -67.254 -179.765 -92.072\nVP1 B.60 -84.480 -185.944 -61.517\nVP1 C.60 -60.588 -200.427 -42.773\nVP1 D.60 -29.947 -201.734 -59.972\nVP1 E.60 -35.039 -188.821 -89.450\nVP1 F.60 -111.630 -181.411 -27.231\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "21.32",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "27.52",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "55.04",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "73.53",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-EXT-2FT1",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "16.21",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "23.19",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "59.88",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "98.36",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-RG-2FT1",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "16.21",
     "unit": "nm"
    },
    {
     "label": "B",
     "value": "28.07",
     "unit": "nm"
    },
    {
     "label": "C",
     "value": "59.88",
     "unit": "nm"
    },
    {
     "label": "D",
     "value": "98.36",
     "unit": "nm"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-1CWP",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.160 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.027",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.248",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.300",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.669",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1CWP",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.117",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.150",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.160",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.210",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-1SVA",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.090 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "inputs": [
    {
     "name": "1SVA-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1SVA simian virus 40 capsid: CA centroid of every protein chain of assembly 1 (6 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nVP1 A.01 7.021 14.689 212.252\nVP1 B.01 5.616 49.932 207.296\nVP1 C.01 37.979 57.625 202.258\nVP1 D.01 58.107 28.795 202.447\nVP1 E.01 38.422 3.502 208.312\nVP1 F.01 -8.020 89.844 194.875\nVP1 A.02 96.412 78.614 172.744\nVP1 B.02 64.988 93.567 180.328\nVP1 C.02 66.246 122.040 162.448\nVP1 D.02 95.884 123.966 143.627\nVP1 E.02 113.196 97.207 150.400\nVP1 F.02 22.274 98.654 189.431\nVP1 A.03 52.565 170.687 115.840\nVP1 B.03 34.549 155.084 142.308\nVP1 C.03 2.963 164.813 136.013\nVP1 D.03 1.153 183.938 106.563\nVP1 E.03 31.537 186.657 95.117\nVP1 F.03 21.786 125.884 172.601\nVP1 A.04 -63.925 163.666 120.180\nVP1 B.04 -43.636 149.468 145.779\nVP1 C.04 -64.414 126.834 159.485\nVP1 D.04 -95.172 125.831 142.475\nVP1 E.04 -93.705 148.235 118.863\nVP1 F.04 -8.810 133.904 167.645\nVP1 A.05 -92.072 67.254 179.765\nVP1 B.05 -61.517 84.480 185.944\nVP1 C.05 -42.773 60.588 200.427\nVP1 D.05 -59.972 29.947 201.734\nVP1 E.05 -89.450 35.039 188.821\nVP1 F.05 -27.231 111.630 181.411\nVP1 A.06 -7.021 -14.689 212.252\nVP1 B.06 -5.616 -49.932 207.296\nVP1 C.06 -37.979 -57.625 202.258\nVP1 D.06 -58.107 -28.795 202.447\nVP1 E.06 -38.422 -3.502 208.312\nVP1 F.06 8.020 -89.844 194.875\nVP1 A.07 -96.412 -78.614 172.744\nVP1 B.07 -64.988 -93.567 180.328\nVP1 C.07 -66.246 -122.040 162.448\nVP1 D.07 -95.884 -123.966 143.627\nVP1 E.07 -113.196 -97.207 150.400\nVP1 F.07 -22.274 -98.654 189.431\nVP1 A.08 -52.565 -170.687 115.840\nVP1 B.08 -34.549 -155.084 142.308\nVP1 C.08 -2.963 -164.813 136.013\nVP1 D.08 -1.153 -183.938 106.563\nVP1 E.08 -31.537 -186.657 95.117\nVP1 F.08 -21.786 -125.884 172.601\nVP1 A.09 63.925 -163.666 120.180\nVP1 B.09 43.636 -149.468 145.779\nVP1 C.09 64.414 -126.834 159.485\nVP1 D.09 95.172 -125.831 142.475\nVP1 E.09 93.705 -148.235 118.863\nVP1 F.09 8.810 -133.904 167.645\nVP1 A.10 92.072 -67.254 179.765\nVP1 B.10 61.517 -84.480 185.944\nVP1 C.10 42.773 -60.588 200.427\nVP1 D.10 59.972 -29.947 201.734\nVP1 E.10 89.450 -35.039 188.821\nVP1 F.10 27.231 -111.630 181.411\nVP1 A.11 -7.021 14.689 -212.252\nVP1 B.11 -5.616 49.932 -207.296\nVP1 C.11 -37.979 57.625 -202.258\nVP1 D.11 -58.107 28.795 -202.447\nVP1 E.11 -38.422 3.502 -208.312\nVP1 F.11 8.020 89.844 -194.875\nVP1 A.12 -96.412 78.614 -172.744\nVP1 B.12 -64.988 93.567 -180.328\nVP1 C.12 -66.246 122.040 -162.448\nVP1 D.12 -95.884 123.966 -143.627\nVP1 E.12 -113.196 97.207 -150.400\nVP1 F.12 -22.274 98.654 -189.431\nVP1 A.13 -52.565 170.687 -115.840\nVP1 B.13 -34.549 155.084 -142.308\nVP1 C.13 -2.963 164.813 -136.013\nVP1 D.13 -1.153 183.938 -106.563\nVP1 E.13 -31.537 186.657 -95.117\nVP1 F.13 -21.786 125.884 -172.601\nVP1 A.14 63.925 163.666 -120.180\nVP1 B.14 43.636 149.468 -145.779\nVP1 C.14 64.414 126.834 -159.485\nVP1 D.14 95.172 125.831 -142.475\nVP1 E.14 93.705 148.235 -118.863\nVP1 F.14 8.810 133.904 -167.645\nVP1 A.15 92.072 67.254 -179.765\nVP1 B.15 61.517 84.480 -185.944\nVP1 C.15 42.773 60.588 -200.427\nVP1 D.15 59.972 29.947 -201.734\nVP1 E.15 89.450 35.039 -188.821\nVP1 F.15 27.231 111.630 -181.411\nVP1 A.16 7.021 -14.689 -212.252\nVP1 B.16 5.616 -49.932 -207.296\nVP1 C.16 37.979 -57.625 -202.258\nVP1 D.16 58.107 -28.795 -202.447\nVP1 E.16 38.422 -3.502 -208.312\nVP1 F.16 -8.020 -89.844 -194.875\nVP1 A.17 96.412 -78.614 -172.744\nVP1 B.17 64.988 -93.567 -180.328\nVP1 C.17 66.246 -122.040 -162.448\nVP1 D.17 95.884 -123.966 -143.627\nVP1 E.17 113.196 -97.207 -150.400\nVP1 F.17 22.274 -98.654 -189.431\nVP1 A.18 52.565 -170.687 -115.840\nVP1 B.18 34.549 -155.084 -142.308\nVP1 C.18 2.963 -164.813 -136.013\nVP1 D.18 1.153 -183.938 -106.563\nVP1 E.18 31.537 -186.657 -95.117\nVP1 F.18 21.786 -125.884 -172.601\nVP1 A.19 -63.925 -163.666 -120.180\nVP1 B.19 -43.636 -149.468 -145.779\nVP1 C.19 -64.414 -126.834 -159.485\nVP1 D.19 -95.172 -125.831 -142.475\nVP1 E.19 -93.705 -148.235 -118.863\nVP1 F.19 -8.810 -133.904 -167.645\nVP1 A.20 -92.072 -67.254 -179.765\nVP1 B.20 -61.517 -84.480 -185.944\nVP1 C.20 -42.773 -60.588 -200.427\nVP1 D.20 -59.972 -29.947 -201.734\nVP1 E.20 -89.450 -35.039 -188.821\nVP1 F.20 -27.231 -111.630 -181.411\nVP1 A.21 212.252 7.021 14.689\nVP1 B.21 207.296 5.616 49.932\nVP1 C.21 202.258 37.979 57.625\nVP1 D.21 202.447 58.107 28.795\nVP1 E.21 208.312 38.422 3.502\nVP1 F.21 194.875 -8.020 89.844\nVP1 A.22 172.744 96.412 78.614\nVP1 B.22 180.328 64.988 93.567\nVP1 C.22 162.448 66.246 122.040\nVP1 D.22 143.627 95.884 123.966\nVP1 E.22 150.400 113.196 97.207\nVP1 F.22 189.431 22.274 98.654\nVP1 A.23 115.840 52.565 170.687\nVP1 B.23 142.308 34.549 155.084\nVP1 C.23 136.013 2.963 164.813\nVP1 D.23 106.563 1.153 183.938\nVP1 E.23 95.117 31.537 186.657\nVP1 F.23 172.601 21.786 125.884\nVP1 A.24 120.180 -63.925 163.666\nVP1 B.24 145.779 -43.636 149.468\nVP1 C.24 159.485 -64.414 126.834\nVP1 D.24 142.475 -95.172 125.831\nVP1 E.24 118.863 -93.705 148.235\nVP1 F.24 167.645 -8.810 133.904\nVP1 A.25 179.765 -92.072 67.254\nVP1 B.25 185.944 -61.517 84.480\nVP1 C.25 200.427 -42.773 60.588\nVP1 D.25 201.734 -59.972 29.947\nVP1 E.25 188.821 -89.450 35.039\nVP1 F.25 181.411 -27.231 111.630\nVP1 A.26 212.252 -7.021 -14.689\nVP1 B.26 207.296 -5.616 -49.932\nVP1 C.26 202.258 -37.979 -57.625\nVP1 D.26 202.447 -58.107 -28.795\nVP1 E.26 208.312 -38.422 -3.502\nVP1 F.26 194.875 8.020 -89.844\nVP1 A.27 172.744 -96.412 -78.614\nVP1 B.27 180.328 -64.988 -93.567\nVP1 C.27 162.448 -66.246 -122.040\nVP1 D.27 143.627 -95.884 -123.966\nVP1 E.27 150.400 -113.196 -97.207\nVP1 F.27 189.431 -22.274 -98.654\nVP1 A.28 115.840 -52.565 -170.687\nVP1 B.28 142.308 -34.549 -155.084\nVP1 C.28 136.013 -2.963 -164.813\nVP1 D.28 106.563 -1.153 -183.938\nVP1 E.28 95.117 -31.537 -186.657\nVP1 F.28 172.601 -21.786 -125.884\nVP1 A.29 120.180 63.925 -163.666\nVP1 B.29 145.779 43.636 -149.468\nVP1 C.29 159.485 64.414 -126.834\nVP1 D.29 142.475 95.172 -125.831\nVP1 E.29 118.863 93.705 -148.235\nVP1 F.29 167.645 8.810 -133.904\nVP1 A.30 179.765 92.072 -67.254\nVP1 B.30 185.944 61.517 -84.480\nVP1 C.30 200.427 42.773 -60.588\nVP1 D.30 201.734 59.972 -29.947\nVP1 E.30 188.821 89.450 -35.039\nVP1 F.30 181.411 27.231 -111.630\nVP1 A.31 -212.252 -7.021 14.689\nVP1 B.31 -207.296 -5.616 49.932\nVP1 C.31 -202.258 -37.979 57.625\nVP1 D.31 -202.447 -58.107 28.795\nVP1 E.31 -208.312 -38.422 3.502\nVP1 F.31 -194.875 8.020 89.844\nVP1 A.32 -172.744 -96.412 78.614\nVP1 B.32 -180.328 -64.988 93.567\nVP1 C.32 -162.448 -66.246 122.040\nVP1 D.32 -143.627 -95.884 123.966\nVP1 E.32 -150.400 -113.196 97.207\nVP1 F.32 -189.431 -22.274 98.654\nVP1 A.33 -115.840 -52.565 170.687\nVP1 B.33 -142.308 -34.549 155.084\nVP1 C.33 -136.013 -2.963 164.813\nVP1 D.33 -106.563 -1.153 183.938\nVP1 E.33 -95.117 -31.537 186.657\nVP1 F.33 -172.601 -21.786 125.884\nVP1 A.34 -120.180 63.925 163.666\nVP1 B.34 -145.779 43.636 149.468\nVP1 C.34 -159.485 64.414 126.834\nVP1 D.34 -142.475 95.172 125.831\nVP1 E.34 -118.863 93.705 148.235\nVP1 F.34 -167.645 8.810 133.904\nVP1 A.35 -179.765 92.072 67.254\nVP1 B.35 -185.944 61.517 84.480\nVP1 C.35 -200.427 42.773 60.588\nVP1 D.35 -201.734 59.972 29.947\nVP1 E.35 -188.821 89.450 35.039\nVP1 F.35 -181.411 27.231 111.630\nVP1 A.36 -212.252 7.021 -14.689\nVP1 B.36 -207.296 5.616 -49.932\nVP1 C.36 -202.258 37.979 -57.625\nVP1 D.36 -202.447 58.107 -28.795\nVP1 E.36 -208.312 38.422 -3.502\nVP1 F.36 -194.875 -8.020 -89.844\nVP1 A.37 -172.744 96.412 -78.614\nVP1 B.37 -180.328 64.988 -93.567\nVP1 C.37 -162.448 66.246 -122.040\nVP1 D.37 -143.627 95.884 -123.966\nVP1 E.37 -150.400 113.196 -97.207\nVP1 F.37 -189.431 22.274 -98.654\nVP1 A.38 -115.840 52.565 -170.687\nVP1 B.38 -142.308 34.549 -155.084\nVP1 C.38 -136.013 2.963 -164.813\nVP1 D.38 -106.563 1.153 -183.938\nVP1 E.38 -95.117 31.537 -186.657\nVP1 F.38 -172.601 21.786 -125.884\nVP1 A.39 -120.180 -63.925 -163.666\nVP1 B.39 -145.779 -43.636 -149.468\nVP1 C.39 -159.485 -64.414 -126.834\nVP1 D.39 -142.475 -95.172 -125.831\nVP1 E.39 -118.863 -93.705 -148.235\nVP1 F.39 -167.645 -8.810 -133.904\nVP1 A.40 -179.765 -92.072 -67.254\nVP1 B.40 -185.944 -61.517 -84.480\nVP1 C.40 -200.427 -42.773 -60.588\nVP1 D.40 -201.734 -59.972 -29.947\nVP1 E.40 -188.821 -89.450 -35.039\nVP1 F.40 -181.411 -27.231 -111.630\nVP1 A.41 14.689 212.252 7.021\nVP1 B.41 49.932 207.296 5.616\nVP1 C.41 57.625 202.258 37.979\nVP1 D.41 28.795 202.447 58.107\nVP1 E.41 3.502 208.312 38.422\nVP1 F.41 89.844 194.875 -8.020\nVP1 A.42 78.614 172.744 96.412\nVP1 B.42 93.567 180.328 64.988\nVP1 C.42 122.040 162.448 66.246\nVP1 D.42 123.966 143.627 95.884\nVP1 E.42 97.207 150.400 113.196\nVP1 F.42 98.654 189.431 22.274\nVP1 A.43 170.687 115.840 52.565\nVP1 B.43 155.084 142.308 34.549\nVP1 C.43 164.813 136.013 2.963\nVP1 D.43 183.938 106.563 1.153\nVP1 E.43 186.657 95.117 31.537\nVP1 F.43 125.884 172.601 21.786\nVP1 A.44 163.666 120.180 -63.925\nVP1 B.44 149.468 145.779 -43.636\nVP1 C.44 126.834 159.485 -64.414\nVP1 D.44 125.831 142.475 -95.172\nVP1 E.44 148.235 118.863 -93.705\nVP1 F.44 133.904 167.645 -8.810\nVP1 A.45 67.254 179.765 -92.072\nVP1 B.45 84.480 185.944 -61.517\nVP1 C.45 60.588 200.427 -42.773\nVP1 D.45 29.947 201.734 -59.972\nVP1 E.45 35.039 188.821 -89.450\nVP1 F.45 111.630 181.411 -27.231\nVP1 A.46 -14.689 212.252 -7.021\nVP1 B.46 -49.932 207.296 -5.616\nVP1 C.46 -57.625 202.258 -37.979\nVP1 D.46 -28.795 202.447 -58.107\nVP1 E.46 -3.502 208.312 -38.422\nVP1 F.46 -89.844 194.875 8.020\nVP1 A.47 -78.614 172.744 -96.412\nVP1 B.47 -93.567 180.328 -64.988\nVP1 C.47 -122.040 162.448 -66.246\nVP1 D.47 -123.966 143.627 -95.884\nVP1 E.47 -97.207 150.400 -113.196\nVP1 F.47 -98.654 189.431 -22.274\nVP1 A.48 -170.687 115.840 -52.565\nVP1 B.48 -155.084 142.308 -34.549\nVP1 C.48 -164.813 136.013 -2.963\nVP1 D.48 -183.938 106.563 -1.153\nVP1 E.48 -186.657 95.117 -31.537\nVP1 F.48 -125.884 172.601 -21.786\nVP1 A.49 -163.666 120.180 63.925\nVP1 B.49 -149.468 145.779 43.636\nVP1 C.49 -126.834 159.485 64.414\nVP1 D.49 -125.831 142.475 95.172\nVP1 E.49 -148.235 118.863 93.705\nVP1 F.49 -133.904 167.645 8.810\nVP1 A.50 -67.254 179.765 92.072\nVP1 B.50 -84.480 185.944 61.517\nVP1 C.50 -60.588 200.427 42.773\nVP1 D.50 -29.947 201.734 59.972\nVP1 E.50 -35.039 188.821 89.450\nVP1 F.50 -111.630 181.411 27.231\nVP1 A.51 14.689 -212.252 -7.021\nVP1 B.51 49.932 -207.296 -5.616\nVP1 C.51 57.625 -202.258 -37.979\nVP1 D.51 28.795 -202.447 -58.107\nVP1 E.51 3.502 -208.312 -38.422\nVP1 F.51 89.844 -194.875 8.020\nVP1 A.52 78.614 -172.744 -96.412\nVP1 B.52 93.567 -180.328 -64.988\nVP1 C.52 122.040 -162.448 -66.246\nVP1 D.52 123.966 -143.627 -95.884\nVP1 E.52 97.207 -150.400 -113.196\nVP1 F.52 98.654 -189.431 -22.274\nVP1 A.53 170.687 -115.840 -52.565\nVP1 B.53 155.084 -142.308 -34.549\nVP1 C.53 164.813 -136.013 -2.963\nVP1 D.53 183.938 -106.563 -1.153\nVP1 E.53 186.657 -95.117 -31.537\nVP1 F.53 125.884 -172.601 -21.786\nVP1 A.54 163.666 -120.180 63.925\nVP1 B.54 149.468 -145.779 43.636\nVP1 C.54 126.834 -159.485 64.414\nVP1 D.54 125.831 -142.475 95.172\nVP1 E.54 148.235 -118.863 93.705\nVP1 F.54 133.904 -167.645 8.810\nVP1 A.55 67.254 -179.765 92.072\nVP1 B.55 84.480 -185.944 61.517\nVP1 C.55 60.588 -200.427 42.773\nVP1 D.55 29.947 -201.734 59.972\nVP1 E.55 35.039 -188.821 89.450\nVP1 F.55 111.630 -181.411 27.231\nVP1 A.56 -14.689 -212.252 7.021\nVP1 B.56 -49.932 -207.296 5.616\nVP1 C.56 -57.625 -202.258 37.979\nVP1 D.56 -28.795 -202.447 58.107\nVP1 E.56 -3.502 -208.312 38.422\nVP1 F.56 -89.844 -194.875 -8.020\nVP1 A.57 -78.614 -172.744 96.412\nVP1 B.57 -93.567 -180.328 64.988\nVP1 C.57 -122.040 -162.448 66.246\nVP1 D.57 -123.966 -143.627 95.884\nVP1 E.57 -97.207 -150.400 113.196\nVP1 F.57 -98.654 -189.431 22.274\nVP1 A.58 -170.687 -115.840 52.565\nVP1 B.58 -155.084 -142.308 34.549\nVP1 C.58 -164.813 -136.013 2.963\nVP1 D.58 -183.938 -106.563 1.153\nVP1 E.58 -186.657 -95.117 31.537\nVP1 F.58 -125.884 -172.601 21.786\nVP1 A.59 -163.666 -120.180 -63.925\nVP1 B.59 -149.468 -145.779 -43.636\nVP1 C.59 -126.834 -159.485 -64.414\nVP1 D.59 -125.831 -142.475 -95.172\nVP1 E.59 -148.235 -118.863 -93.705\nVP1 F.59 -133.904 -167.645 -8.810\nVP1 A.60 -67.254 -179.765 -92.072\nVP1 B.60 -84.480 -185.944 -61.517\nVP1 C.60 -60.588 -200.427 -42.773\nVP1 D.60 -29.947 -201.734 -59.972\nVP1 E.60 -35.039 -188.821 -89.450\nVP1 F.60 -111.630 -181.411 -27.231\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.025",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.058",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.240",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.293",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-1SVA",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "inputs": [
    {
     "name": "1SVA-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1SVA simian virus 40 capsid: CA centroid of every protein chain of assembly 1 (6 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nVP1 A.01 7.021 14.689 212.252\nVP1 B.01 5.616 49.932 207.296\nVP1 C.01 37.979 57.625 202.258\nVP1 D.01 58.107 28.795 202.447\nVP1 E.01 38.422 3.502 208.312\nVP1 F.01 -8.020 89.844 194.875\nVP1 A.02 96.412 78.614 172.744\nVP1 B.02 64.988 93.567 180.328\nVP1 C.02 66.246 122.040 162.448\nVP1 D.02 95.884 123.966 143.627\nVP1 E.02 113.196 97.207 150.400\nVP1 F.02 22.274 98.654 189.431\nVP1 A.03 52.565 170.687 115.840\nVP1 B.03 34.549 155.084 142.308\nVP1 C.03 2.963 164.813 136.013\nVP1 D.03 1.153 183.938 106.563\nVP1 E.03 31.537 186.657 95.117\nVP1 F.03 21.786 125.884 172.601\nVP1 A.04 -63.925 163.666 120.180\nVP1 B.04 -43.636 149.468 145.779\nVP1 C.04 -64.414 126.834 159.485\nVP1 D.04 -95.172 125.831 142.475\nVP1 E.04 -93.705 148.235 118.863\nVP1 F.04 -8.810 133.904 167.645\nVP1 A.05 -92.072 67.254 179.765\nVP1 B.05 -61.517 84.480 185.944\nVP1 C.05 -42.773 60.588 200.427\nVP1 D.05 -59.972 29.947 201.734\nVP1 E.05 -89.450 35.039 188.821\nVP1 F.05 -27.231 111.630 181.411\nVP1 A.06 -7.021 -14.689 212.252\nVP1 B.06 -5.616 -49.932 207.296\nVP1 C.06 -37.979 -57.625 202.258\nVP1 D.06 -58.107 -28.795 202.447\nVP1 E.06 -38.422 -3.502 208.312\nVP1 F.06 8.020 -89.844 194.875\nVP1 A.07 -96.412 -78.614 172.744\nVP1 B.07 -64.988 -93.567 180.328\nVP1 C.07 -66.246 -122.040 162.448\nVP1 D.07 -95.884 -123.966 143.627\nVP1 E.07 -113.196 -97.207 150.400\nVP1 F.07 -22.274 -98.654 189.431\nVP1 A.08 -52.565 -170.687 115.840\nVP1 B.08 -34.549 -155.084 142.308\nVP1 C.08 -2.963 -164.813 136.013\nVP1 D.08 -1.153 -183.938 106.563\nVP1 E.08 -31.537 -186.657 95.117\nVP1 F.08 -21.786 -125.884 172.601\nVP1 A.09 63.925 -163.666 120.180\nVP1 B.09 43.636 -149.468 145.779\nVP1 C.09 64.414 -126.834 159.485\nVP1 D.09 95.172 -125.831 142.475\nVP1 E.09 93.705 -148.235 118.863\nVP1 F.09 8.810 -133.904 167.645\nVP1 A.10 92.072 -67.254 179.765\nVP1 B.10 61.517 -84.480 185.944\nVP1 C.10 42.773 -60.588 200.427\nVP1 D.10 59.972 -29.947 201.734\nVP1 E.10 89.450 -35.039 188.821\nVP1 F.10 27.231 -111.630 181.411\nVP1 A.11 -7.021 14.689 -212.252\nVP1 B.11 -5.616 49.932 -207.296\nVP1 C.11 -37.979 57.625 -202.258\nVP1 D.11 -58.107 28.795 -202.447\nVP1 E.11 -38.422 3.502 -208.312\nVP1 F.11 8.020 89.844 -194.875\nVP1 A.12 -96.412 78.614 -172.744\nVP1 B.12 -64.988 93.567 -180.328\nVP1 C.12 -66.246 122.040 -162.448\nVP1 D.12 -95.884 123.966 -143.627\nVP1 E.12 -113.196 97.207 -150.400\nVP1 F.12 -22.274 98.654 -189.431\nVP1 A.13 -52.565 170.687 -115.840\nVP1 B.13 -34.549 155.084 -142.308\nVP1 C.13 -2.963 164.813 -136.013\nVP1 D.13 -1.153 183.938 -106.563\nVP1 E.13 -31.537 186.657 -95.117\nVP1 F.13 -21.786 125.884 -172.601\nVP1 A.14 63.925 163.666 -120.180\nVP1 B.14 43.636 149.468 -145.779\nVP1 C.14 64.414 126.834 -159.485\nVP1 D.14 95.172 125.831 -142.475\nVP1 E.14 93.705 148.235 -118.863\nVP1 F.14 8.810 133.904 -167.645\nVP1 A.15 92.072 67.254 -179.765\nVP1 B.15 61.517 84.480 -185.944\nVP1 C.15 42.773 60.588 -200.427\nVP1 D.15 59.972 29.947 -201.734\nVP1 E.15 89.450 35.039 -188.821\nVP1 F.15 27.231 111.630 -181.411\nVP1 A.16 7.021 -14.689 -212.252\nVP1 B.16 5.616 -49.932 -207.296\nVP1 C.16 37.979 -57.625 -202.258\nVP1 D.16 58.107 -28.795 -202.447\nVP1 E.16 38.422 -3.502 -208.312\nVP1 F.16 -8.020 -89.844 -194.875\nVP1 A.17 96.412 -78.614 -172.744\nVP1 B.17 64.988 -93.567 -180.328\nVP1 C.17 66.246 -122.040 -162.448\nVP1 D.17 95.884 -123.966 -143.627\nVP1 E.17 113.196 -97.207 -150.400\nVP1 F.17 22.274 -98.654 -189.431\nVP1 A.18 52.565 -170.687 -115.840\nVP1 B.18 34.549 -155.084 -142.308\nVP1 C.18 2.963 -164.813 -136.013\nVP1 D.18 1.153 -183.938 -106.563\nVP1 E.18 31.537 -186.657 -95.117\nVP1 F.18 21.786 -125.884 -172.601\nVP1 A.19 -63.925 -163.666 -120.180\nVP1 B.19 -43.636 -149.468 -145.779\nVP1 C.19 -64.414 -126.834 -159.485\nVP1 D.19 -95.172 -125.831 -142.475\nVP1 E.19 -93.705 -148.235 -118.863\nVP1 F.19 -8.810 -133.904 -167.645\nVP1 A.20 -92.072 -67.254 -179.765\nVP1 B.20 -61.517 -84.480 -185.944\nVP1 C.20 -42.773 -60.588 -200.427\nVP1 D.20 -59.972 -29.947 -201.734\nVP1 E.20 -89.450 -35.039 -188.821\nVP1 F.20 -27.231 -111.630 -181.411\nVP1 A.21 212.252 7.021 14.689\nVP1 B.21 207.296 5.616 49.932\nVP1 C.21 202.258 37.979 57.625\nVP1 D.21 202.447 58.107 28.795\nVP1 E.21 208.312 38.422 3.502\nVP1 F.21 194.875 -8.020 89.844\nVP1 A.22 172.744 96.412 78.614\nVP1 B.22 180.328 64.988 93.567\nVP1 C.22 162.448 66.246 122.040\nVP1 D.22 143.627 95.884 123.966\nVP1 E.22 150.400 113.196 97.207\nVP1 F.22 189.431 22.274 98.654\nVP1 A.23 115.840 52.565 170.687\nVP1 B.23 142.308 34.549 155.084\nVP1 C.23 136.013 2.963 164.813\nVP1 D.23 106.563 1.153 183.938\nVP1 E.23 95.117 31.537 186.657\nVP1 F.23 172.601 21.786 125.884\nVP1 A.24 120.180 -63.925 163.666\nVP1 B.24 145.779 -43.636 149.468\nVP1 C.24 159.485 -64.414 126.834\nVP1 D.24 142.475 -95.172 125.831\nVP1 E.24 118.863 -93.705 148.235\nVP1 F.24 167.645 -8.810 133.904\nVP1 A.25 179.765 -92.072 67.254\nVP1 B.25 185.944 -61.517 84.480\nVP1 C.25 200.427 -42.773 60.588\nVP1 D.25 201.734 -59.972 29.947\nVP1 E.25 188.821 -89.450 35.039\nVP1 F.25 181.411 -27.231 111.630\nVP1 A.26 212.252 -7.021 -14.689\nVP1 B.26 207.296 -5.616 -49.932\nVP1 C.26 202.258 -37.979 -57.625\nVP1 D.26 202.447 -58.107 -28.795\nVP1 E.26 208.312 -38.422 -3.502\nVP1 F.26 194.875 8.020 -89.844\nVP1 A.27 172.744 -96.412 -78.614\nVP1 B.27 180.328 -64.988 -93.567\nVP1 C.27 162.448 -66.246 -122.040\nVP1 D.27 143.627 -95.884 -123.966\nVP1 E.27 150.400 -113.196 -97.207\nVP1 F.27 189.431 -22.274 -98.654\nVP1 A.28 115.840 -52.565 -170.687\nVP1 B.28 142.308 -34.549 -155.084\nVP1 C.28 136.013 -2.963 -164.813\nVP1 D.28 106.563 -1.153 -183.938\nVP1 E.28 95.117 -31.537 -186.657\nVP1 F.28 172.601 -21.786 -125.884\nVP1 A.29 120.180 63.925 -163.666\nVP1 B.29 145.779 43.636 -149.468\nVP1 C.29 159.485 64.414 -126.834\nVP1 D.29 142.475 95.172 -125.831\nVP1 E.29 118.863 93.705 -148.235\nVP1 F.29 167.645 8.810 -133.904\nVP1 A.30 179.765 92.072 -67.254\nVP1 B.30 185.944 61.517 -84.480\nVP1 C.30 200.427 42.773 -60.588\nVP1 D.30 201.734 59.972 -29.947\nVP1 E.30 188.821 89.450 -35.039\nVP1 F.30 181.411 27.231 -111.630\nVP1 A.31 -212.252 -7.021 14.689\nVP1 B.31 -207.296 -5.616 49.932\nVP1 C.31 -202.258 -37.979 57.625\nVP1 D.31 -202.447 -58.107 28.795\nVP1 E.31 -208.312 -38.422 3.502\nVP1 F.31 -194.875 8.020 89.844\nVP1 A.32 -172.744 -96.412 78.614\nVP1 B.32 -180.328 -64.988 93.567\nVP1 C.32 -162.448 -66.246 122.040\nVP1 D.32 -143.627 -95.884 123.966\nVP1 E.32 -150.400 -113.196 97.207\nVP1 F.32 -189.431 -22.274 98.654\nVP1 A.33 -115.840 -52.565 170.687\nVP1 B.33 -142.308 -34.549 155.084\nVP1 C.33 -136.013 -2.963 164.813\nVP1 D.33 -106.563 -1.153 183.938\nVP1 E.33 -95.117 -31.537 186.657\nVP1 F.33 -172.601 -21.786 125.884\nVP1 A.34 -120.180 63.925 163.666\nVP1 B.34 -145.779 43.636 149.468\nVP1 C.34 -159.485 64.414 126.834\nVP1 D.34 -142.475 95.172 125.831\nVP1 E.34 -118.863 93.705 148.235\nVP1 F.34 -167.645 8.810 133.904\nVP1 A.35 -179.765 92.072 67.254\nVP1 B.35 -185.944 61.517 84.480\nVP1 C.35 -200.427 42.773 60.588\nVP1 D.35 -201.734 59.972 29.947\nVP1 E.35 -188.821 89.450 35.039\nVP1 F.35 -181.411 27.231 111.630\nVP1 A.36 -212.252 7.021 -14.689\nVP1 B.36 -207.296 5.616 -49.932\nVP1 C.36 -202.258 37.979 -57.625\nVP1 D.36 -202.447 58.107 -28.795\nVP1 E.36 -208.312 38.422 -3.502\nVP1 F.36 -194.875 -8.020 -89.844\nVP1 A.37 -172.744 96.412 -78.614\nVP1 B.37 -180.328 64.988 -93.567\nVP1 C.37 -162.448 66.246 -122.040\nVP1 D.37 -143.627 95.884 -123.966\nVP1 E.37 -150.400 113.196 -97.207\nVP1 F.37 -189.431 22.274 -98.654\nVP1 A.38 -115.840 52.565 -170.687\nVP1 B.38 -142.308 34.549 -155.084\nVP1 C.38 -136.013 2.963 -164.813\nVP1 D.38 -106.563 1.153 -183.938\nVP1 E.38 -95.117 31.537 -186.657\nVP1 F.38 -172.601 21.786 -125.884\nVP1 A.39 -120.180 -63.925 -163.666\nVP1 B.39 -145.779 -43.636 -149.468\nVP1 C.39 -159.485 -64.414 -126.834\nVP1 D.39 -142.475 -95.172 -125.831\nVP1 E.39 -118.863 -93.705 -148.235\nVP1 F.39 -167.645 -8.810 -133.904\nVP1 A.40 -179.765 -92.072 -67.254\nVP1 B.40 -185.944 -61.517 -84.480\nVP1 C.40 -200.427 -42.773 -60.588\nVP1 D.40 -201.734 -59.972 -29.947\nVP1 E.40 -188.821 -89.450 -35.039\nVP1 F.40 -181.411 -27.231 -111.630\nVP1 A.41 14.689 212.252 7.021\nVP1 B.41 49.932 207.296 5.616\nVP1 C.41 57.625 202.258 37.979\nVP1 D.41 28.795 202.447 58.107\nVP1 E.41 3.502 208.312 38.422\nVP1 F.41 89.844 194.875 -8.020\nVP1 A.42 78.614 172.744 96.412\nVP1 B.42 93.567 180.328 64.988\nVP1 C.42 122.040 162.448 66.246\nVP1 D.42 123.966 143.627 95.884\nVP1 E.42 97.207 150.400 113.196\nVP1 F.42 98.654 189.431 22.274\nVP1 A.43 170.687 115.840 52.565\nVP1 B.43 155.084 142.308 34.549\nVP1 C.43 164.813 136.013 2.963\nVP1 D.43 183.938 106.563 1.153\nVP1 E.43 186.657 95.117 31.537\nVP1 F.43 125.884 172.601 21.786\nVP1 A.44 163.666 120.180 -63.925\nVP1 B.44 149.468 145.779 -43.636\nVP1 C.44 126.834 159.485 -64.414\nVP1 D.44 125.831 142.475 -95.172\nVP1 E.44 148.235 118.863 -93.705\nVP1 F.44 133.904 167.645 -8.810\nVP1 A.45 67.254 179.765 -92.072\nVP1 B.45 84.480 185.944 -61.517\nVP1 C.45 60.588 200.427 -42.773\nVP1 D.45 29.947 201.734 -59.972\nVP1 E.45 35.039 188.821 -89.450\nVP1 F.45 111.630 181.411 -27.231\nVP1 A.46 -14.689 212.252 -7.021\nVP1 B.46 -49.932 207.296 -5.616\nVP1 C.46 -57.625 202.258 -37.979\nVP1 D.46 -28.795 202.447 -58.107\nVP1 E.46 -3.502 208.312 -38.422\nVP1 F.46 -89.844 194.875 8.020\nVP1 A.47 -78.614 172.744 -96.412\nVP1 B.47 -93.567 180.328 -64.988\nVP1 C.47 -122.040 162.448 -66.246\nVP1 D.47 -123.966 143.627 -95.884\nVP1 E.47 -97.207 150.400 -113.196\nVP1 F.47 -98.654 189.431 -22.274\nVP1 A.48 -170.687 115.840 -52.565\nVP1 B.48 -155.084 142.308 -34.549\nVP1 C.48 -164.813 136.013 -2.963\nVP1 D.48 -183.938 106.563 -1.153\nVP1 E.48 -186.657 95.117 -31.537\nVP1 F.48 -125.884 172.601 -21.786\nVP1 A.49 -163.666 120.180 63.925\nVP1 B.49 -149.468 145.779 43.636\nVP1 C.49 -126.834 159.485 64.414\nVP1 D.49 -125.831 142.475 95.172\nVP1 E.49 -148.235 118.863 93.705\nVP1 F.49 -133.904 167.645 8.810\nVP1 A.50 -67.254 179.765 92.072\nVP1 B.50 -84.480 185.944 61.517\nVP1 C.50 -60.588 200.427 42.773\nVP1 D.50 -29.947 201.734 59.972\nVP1 E.50 -35.039 188.821 89.450\nVP1 F.50 -111.630 181.411 27.231\nVP1 A.51 14.689 -212.252 -7.021\nVP1 B.51 49.932 -207.296 -5.616\nVP1 C.51 57.625 -202.258 -37.979\nVP1 D.51 28.795 -202.447 -58.107\nVP1 E.51 3.502 -208.312 -38.422\nVP1 F.51 89.844 -194.875 8.020\nVP1 A.52 78.614 -172.744 -96.412\nVP1 B.52 93.567 -180.328 -64.988\nVP1 C.52 122.040 -162.448 -66.246\nVP1 D.52 123.966 -143.627 -95.884\nVP1 E.52 97.207 -150.400 -113.196\nVP1 F.52 98.654 -189.431 -22.274\nVP1 A.53 170.687 -115.840 -52.565\nVP1 B.53 155.084 -142.308 -34.549\nVP1 C.53 164.813 -136.013 -2.963\nVP1 D.53 183.938 -106.563 -1.153\nVP1 E.53 186.657 -95.117 -31.537\nVP1 F.53 125.884 -172.601 -21.786\nVP1 A.54 163.666 -120.180 63.925\nVP1 B.54 149.468 -145.779 43.636\nVP1 C.54 126.834 -159.485 64.414\nVP1 D.54 125.831 -142.475 95.172\nVP1 E.54 148.235 -118.863 93.705\nVP1 F.54 133.904 -167.645 8.810\nVP1 A.55 67.254 -179.765 92.072\nVP1 B.55 84.480 -185.944 61.517\nVP1 C.55 60.588 -200.427 42.773\nVP1 D.55 29.947 -201.734 59.972\nVP1 E.55 35.039 -188.821 89.450\nVP1 F.55 111.630 -181.411 27.231\nVP1 A.56 -14.689 -212.252 7.021\nVP1 B.56 -49.932 -207.296 5.616\nVP1 C.56 -57.625 -202.258 37.979\nVP1 D.56 -28.795 -202.447 58.107\nVP1 E.56 -3.502 -208.312 38.422\nVP1 F.56 -89.844 -194.875 -8.020\nVP1 A.57 -78.614 -172.744 96.412\nVP1 B.57 -93.567 -180.328 64.988\nVP1 C.57 -122.040 -162.448 66.246\nVP1 D.57 -123.966 -143.627 95.884\nVP1 E.57 -97.207 -150.400 113.196\nVP1 F.57 -98.654 -189.431 22.274\nVP1 A.58 -170.687 -115.840 52.565\nVP1 B.58 -155.084 -142.308 34.549\nVP1 C.58 -164.813 -136.013 2.963\nVP1 D.58 -183.938 -106.563 1.153\nVP1 E.58 -186.657 -95.117 31.537\nVP1 F.58 -125.884 -172.601 21.786\nVP1 A.59 -163.666 -120.180 -63.925\nVP1 B.59 -149.468 -145.779 -43.636\nVP1 C.59 -126.834 -159.485 -64.414\nVP1 D.59 -125.831 -142.475 -95.172\nVP1 E.59 -148.235 -118.863 -93.705\nVP1 F.59 -133.904 -167.645 -8.810\nVP1 A.60 -67.254 -179.765 -92.072\nVP1 B.60 -84.480 -185.944 -61.517\nVP1 C.60 -60.588 -200.427 -42.773\nVP1 D.60 -29.947 -201.734 -59.972\nVP1 E.60 -35.039 -188.821 -89.450\nVP1 F.60 -111.630 -181.411 -27.231\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.0391",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.0653",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.0846",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.1172",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DEB-2FT1",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.065 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.036",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.079",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.282",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.330",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-QDES-2FT1",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.0079",
     "unit": "nm^-1"
    },
    {
     "label": "B",
     "value": "0.0297",
     "unit": "nm^-1"
    },
    {
     "label": "C",
     "value": "0.0496",
     "unit": "nm^-1"
    },
    {
     "label": "D",
     "value": "0.0890",
     "unit": "nm^-1"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-T-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1",
     "unit": ""
    },
    {
     "label": "B",
     "value": "3",
     "unit": ""
    },
    {
     "label": "C",
     "value": "4",
     "unit": ""
    },
    {
     "label": "D",
     "value": "7",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-CAPS-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "20",
     "unit": ""
    },
    {
     "label": "B",
     "value": "30",
     "unit": ""
    },
    {
     "label": "C",
     "value": "32",
     "unit": ""
    },
    {
     "label": "D",
     "value": "36",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-HEX-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "inputs": [
    {
     "name": "1CWP-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "1CWP cowpea chlorotic mottle virus capsid: CA centroid of every protein chain of assembly 1 (3 chains x 60 deposited operators); columns: component copy x y z (angstrom)\nCP D.01 93.340 -49.425 53.052\nCP E.01 97.553 -12.656 60.168\nCP F.01 107.050 -30.196 25.739\nCP D.02 83.942 -34.840 76.554\nCP E.02 56.771 -21.654 99.120\nCP F.02 83.351 1.091 80.216\nCP D.03 62.034 -50.035 88.444\nCP E.03 30.659 -70.776 86.251\nCP F.03 33.344 -35.951 105.301\nCP D.04 57.892 -74.012 72.290\nCP E.04 55.304 -92.137 39.345\nCP F.04 26.137 -90.132 66.327\nCP D.05 77.240 -73.635 50.417\nCP E.05 96.646 -56.217 23.224\nCP F.05 71.689 -86.575 17.156\nCP D.06 116.668 21.251 9.843\nCP E.06 113.490 -15.678 3.024\nCP F.06 108.197 1.210 38.656\nCP D.07 117.197 8.041 -16.200\nCP E.07 103.271 1.227 -50.541\nCP F.07 108.579 -26.462 -22.501\nCP D.08 109.913 27.763 -36.453\nCP E.08 89.222 56.576 -49.178\nCP F.08 91.546 20.975 -66.793\nCP D.09 104.883 53.162 -22.928\nCP E.09 90.759 73.878 5.229\nCP F.09 80.636 77.965 -33.010\nCP D.10 109.058 49.138 5.685\nCP E.10 105.757 29.222 37.492\nCP F.10 90.927 65.750 32.161\nCP D.11 -123.737 -5.213 2.479\nCP E.11 -114.620 -9.883 -33.791\nCP F.11 -116.768 25.352 -15.434\nCP D.12 -118.773 -30.474 -11.327\nCP E.12 -99.333 -62.277 -16.985\nCP F.12 -104.725 -34.002 -44.419\nCP D.13 -111.458 -50.417 8.697\nCP E.13 -93.298 -61.497 39.791\nCP F.13 -88.232 -77.658 3.790\nCP D.14 -111.901 -37.481 34.879\nCP E.14 -104.854 -8.621 58.074\nCP F.14 -90.081 -45.284 62.570\nCP D.15 -119.490 -9.544 31.036\nCP E.15 -118.032 23.278 12.598\nCP F.15 -107.717 18.379 50.689\nCP D.16 -97.327 43.877 -63.089\nCP E.16 -107.479 48.707 -27.116\nCP F.16 -109.534 14.124 -46.678\nCP D.17 -93.422 67.763 -46.742\nCP E.17 -71.764 93.193 -29.310\nCP F.17 -98.260 69.863 -11.012\nCP D.18 -71.545 83.180 -58.403\nCP E.18 -37.638 86.187 -74.579\nCP F.18 -47.713 103.124 -40.013\nCP D.19 -61.929 68.822 -81.957\nCP E.19 -52.263 37.371 -100.363\nCP F.19 -27.747 67.942 -93.603\nCP D.20 -77.863 44.532 -84.853\nCP E.20 -95.427 14.207 -71.030\nCP F.20 -65.955 12.937 -97.721\nCP D.21 28.587 80.273 88.265\nCP E.21 -1.878 62.717 101.799\nCP F.21 -2.915 92.750 75.760\nCP D.22 28.050 56.258 104.853\nCP E.22 34.493 19.622 110.899\nCP F.22 -1.328 36.833 112.812\nCP D.23 53.135 41.869 100.727\nCP E.23 80.991 28.692 79.007\nCP F.23 57.192 5.982 101.346\nCP D.24 69.175 56.991 81.590\nCP E.24 73.359 77.391 50.197\nCP F.24 91.772 42.831 57.207\nCP D.25 54.004 80.726 73.887\nCP E.25 22.143 98.420 64.283\nCP F.25 54.624 96.457 41.394\nCP D.26 -56.493 81.712 75.231\nCP E.26 -26.136 100.022 62.476\nCP F.26 -25.534 73.045 91.681\nCP D.27 -55.035 99.278 51.962\nCP E.27 -57.211 106.027 14.959\nCP F.27 -24.701 112.006 37.065\nCP D.28 -77.089 92.439 34.099\nCP E.28 -99.540 67.753 16.600\nCP F.28 -76.260 94.105 -1.966\nCP D.29 -92.177 70.646 46.327\nCP E.29 -94.625 38.092 65.131\nCP F.29 -108.960 44.081 28.526\nCP D.30 -79.448 64.017 71.748\nCP E.30 -49.259 58.036 93.484\nCP F.30 -77.609 31.065 86.404\nCP D.31 46.379 -87.509 -64.060\nCP E.31 33.696 -63.262 -89.957\nCP F.31 10.950 -89.607 -70.732\nCP D.32 61.266 -65.718 -76.537\nCP E.32 79.848 -32.963 -75.413\nCP F.32 47.089 -39.540 -96.976\nCP D.33 83.415 -58.653 -58.879\nCP E.33 98.331 -52.107 -24.904\nCP F.33 97.043 -25.508 -54.430\nCP D.34 82.216 -76.076 -35.489\nCP E.34 63.602 -94.239 -8.230\nCP F.34 91.776 -66.902 -1.893\nCP D.35 59.327 -93.910 -38.691\nCP E.35 23.655 -101.133 -48.436\nCP F.35 38.568 -106.518 -11.968\nCP D.36 -29.529 -63.987 -97.151\nCP E.36 -16.738 -88.986 -72.034\nCP F.36 6.445 -65.697 -94.424\nCP D.37 -45.337 -79.328 -77.994\nCP E.37 -68.186 -82.197 -48.160\nCP F.37 -32.116 -98.808 -50.618\nCP D.38 -70.516 -65.165 -73.663\nCP E.38 -90.838 -33.846 -68.419\nCP F.38 -89.030 -64.088 -42.665\nCP D.39 -70.270 -41.070 -90.143\nCP E.39 -53.390 -10.754 -104.813\nCP F.39 -85.644 -9.519 -81.556\nCP D.40 -44.938 -40.342 -104.660\nCP E.40 -7.594 -44.832 -107.047\nCP F.40 -26.638 -10.513 -113.545\nCP D.41 -47.659 -47.132 101.578\nCP E.41 -16.978 -67.641 93.872\nCP F.41 -52.230 -72.295 76.066\nCP D.42 -20.583 -42.716 111.565\nCP E.42 11.017 -22.447 114.712\nCP F.42 9.249 -59.182 99.541\nCP D.43 -18.374 -14.707 119.535\nCP E.43 -24.743 22.103 114.561\nCP F.43 11.374 5.600 117.001\nCP D.44 -44.084 -1.812 114.475\nCP E.44 -74.840 4.443 93.628\nCP F.44 -48.791 32.524 104.317\nCP D.45 -62.184 -21.852 103.376\nCP E.45 -70.040 -51.022 80.841\nCP F.45 -88.100 -15.618 79.018\nCP D.46 -24.460 -107.969 45.198\nCP E.46 -55.462 -88.231 53.603\nCP F.46 -21.508 -86.703 74.249\nCP D.47 -48.796 -105.787 29.218\nCP E.47 -67.699 -95.482 -1.698\nCP F.47 -75.783 -82.470 35.020\nCP D.48 -41.987 -112.079 1.523\nCP E.48 -19.531 -110.155 -28.683\nCP F.48 -57.195 -97.378 -27.739\nCP D.49 -13.442 -118.151 0.386\nCP E.49 22.477 -111.972 9.941\nCP F.49 8.567 -110.824 -27.296\nCP D.50 -2.610 -115.610 27.378\nCP E.50 0.270 -98.422 60.797\nCP F.50 30.623 -104.227 35.736\nCP D.51 33.774 110.913 -39.803\nCP E.51 7.572 100.045 -64.598\nCP F.51 45.294 87.403 -64.708\nCP D.52 5.208 116.933 -38.981\nCP E.52 -28.991 114.862 -23.278\nCP F.52 -20.102 101.725 -59.765\nCP D.53 -1.905 123.273 -11.373\nCP E.53 0.023 117.568 25.820\nCP F.53 -33.489 115.827 4.483\nCP D.54 22.264 121.171 4.867\nCP E.54 54.518 104.422 14.845\nCP F.54 23.632 110.220 39.247\nCP D.55 44.316 113.532 -12.704\nCP E.55 59.184 93.592 -41.037\nCP F.55 72.323 92.653 -3.515\nCP D.56 27.290 54.678 -104.688\nCP E.56 53.812 66.318 -80.593\nCP F.56 17.389 82.086 -83.322\nCP D.57 53.116 42.060 -99.518\nCP E.57 74.617 13.557 -87.451\nCP F.57 75.580 50.417 -72.511\nCP D.58 51.210 14.004 -107.401\nCP E.58 33.195 -19.025 -109.414\nCP F.58 68.255 -13.558 -91.461\nCP D.59 24.207 9.282 -117.444\nCP E.59 -13.211 13.598 -116.129\nCP F.59 5.536 -21.429 -113.984\nCP D.60 9.423 34.420 -115.767\nCP E.60 -0.469 66.342 -98.316\nCP F.60 -25.901 37.682 -108.954\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "20",
     "unit": ""
    },
    {
     "label": "B",
     "value": "30",
     "unit": ""
    },
    {
     "label": "C",
     "value": "32",
     "unit": ""
    },
    {
     "label": "D",
     "value": "120",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-T-2FT1",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by gp5?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3",
     "unit": ""
    },
    {
     "label": "B",
     "value": "4",
     "unit": ""
    },
    {
     "label": "C",
     "value": "7",
     "unit": ""
    },
    {
     "label": "D",
     "value": "9",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ASM-HEX-2FT1",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by gp5?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "inputs": [
    {
     "name": "2FT1-chain-centroids.txt",
     "format": "centroid-table",
     "unit": "angstrom",
     "text": "2FT1 bacteriophage HK97 head II capsid: CA centroid of every protein chain of assembly 1 (7 chains x 60 deposited operators); columns: component copy x y z (angstrom)\ngp5 A.01 395.422 9.559 -40.932\ngp5 B.01 408.676 48.241 -37.948\ngp5 C.01 408.029 72.895 -70.202\ngp5 D.01 390.217 60.395 -104.365\ngp5 E.01 373.347 23.686 -105.500\ngp5 F.01 377.055 -0.519 -77.928\ngp5 G.01 380.015 -40.788 -27.889\ngp5 A.02 390.336 3.422 47.254\ngp5 B.02 383.938 22.060 83.205\ngp5 C.02 397.018 59.981 89.485\ngp5 D.02 412.692 80.929 58.565\ngp5 E.02 414.807 63.626 22.102\ngp5 F.02 406.747 28.045 16.725\ngp5 G.02 388.417 -32.800 6.923\ngp5 A.03 329.413 -57.736 66.957\ngp5 B.03 294.611 -67.305 86.403\ngp5 C.03 286.126 -51.307 122.743\ngp5 D.03 310.236 -22.472 137.836\ngp5 E.03 342.129 -10.173 116.272\ngp5 F.03 352.499 -27.017 85.150\ngp5 G.03 367.667 -53.809 28.703\ngp5 A.04 296.846 -89.397 -9.051\ngp5 B.04 264.142 -96.355 -32.775\ngp5 C.04 228.602 -107.173 -16.391\ngp5 D.04 224.439 -106.911 23.898\ngp5 E.04 255.752 -95.723 46.871\ngp5 F.04 289.281 -89.613 32.786\ngp5 G.04 346.441 -74.781 7.351\ngp5 A.05 337.642 -47.807 -75.730\ngp5 B.05 334.638 -24.944 -109.628\ngp5 C.05 303.942 -30.413 -135.637\ngp5 D.05 273.871 -55.697 -125.790\ngp5 E.05 275.046 -74.797 -90.192\ngp5 F.05 304.457 -73.236 -68.002\ngp5 G.05 354.072 -66.734 -27.625\ngp5 A.06 220.515 1.584 -228.376\ngp5 B.06 187.151 -16.987 -213.450\ngp5 C.06 190.249 -44.093 -183.379\ngp5 D.06 226.042 -49.574 -165.231\ngp5 E.06 257.842 -27.795 -177.390\ngp5 F.06 256.539 -5.995 -207.104\ngp5 G.06 252.623 35.230 -256.292\ngp5 A.07 170.118 63.204 -267.149\ngp5 B.07 135.663 85.419 -266.719\ngp5 C.07 100.791 69.290 -253.591\ngp5 D.07 101.058 32.401 -236.868\ngp5 E.07 136.100 12.547 -233.495\ngp5 F.07 167.294 24.993 -248.722\ngp5 G.07 222.318 49.145 -271.598\ngp5 A.08 218.644 136.759 -275.813\ngp5 B.08 222.979 176.796 -268.124\ngp5 C.08 190.759 201.502 -268.213\ngp5 D.08 153.641 185.675 -271.722\ngp5 E.08 149.528 145.595 -274.900\ngp5 F.08 178.491 123.107 -278.807\ngp5 G.08 229.365 83.857 -281.174\ngp5 A.09 299.033 120.599 -242.394\ngp5 B.09 328.430 130.863 -215.724\ngp5 C.09 335.820 169.831 -207.039\ngp5 D.09 311.122 198.429 -221.625\ngp5 E.09 279.570 187.481 -244.385\ngp5 F.09 274.656 152.756 -255.784\ngp5 G.09 264.025 91.396 -271.786\ngp5 A.10 300.189 37.056 -213.076\ngp5 B.10 306.287 11.099 -181.933\ngp5 C.10 335.505 18.045 -154.609\ngp5 D.10 355.869 53.037 -155.810\ngp5 E.10 346.512 80.320 -184.121\ngp5 F.10 322.892 72.967 -211.469\ngp5 G.10 278.399 61.343 -256.408\ngp5 A.11 1.584 220.515 228.376\ngp5 B.11 -16.987 187.151 213.450\ngp5 C.11 -44.093 190.249 183.379\ngp5 D.11 -49.574 226.042 165.231\ngp5 E.11 -27.795 257.842 177.390\ngp5 F.11 -5.995 256.539 207.104\ngp5 G.11 35.230 252.623 256.292\ngp5 A.12 63.204 170.118 267.149\ngp5 B.12 85.419 135.663 266.719\ngp5 C.12 69.290 100.791 253.591\ngp5 D.12 32.401 101.058 236.868\ngp5 E.12 12.547 136.100 233.495\ngp5 F.12 24.993 167.294 248.722\ngp5 G.12 49.145 222.318 271.598\ngp5 A.13 136.759 218.644 275.813\ngp5 B.13 176.796 222.979 268.124\ngp5 C.13 201.502 190.759 268.213\ngp5 D.13 185.675 153.641 271.722\ngp5 E.13 145.595 149.528 274.900\ngp5 F.13 123.107 178.491 278.807\ngp5 G.13 83.857 229.365 281.174\ngp5 A.14 120.599 299.033 242.394\ngp5 B.14 130.863 328.430 215.724\ngp5 C.14 169.831 335.820 207.039\ngp5 D.14 198.429 311.122 221.625\ngp5 E.14 187.481 279.570 244.385\ngp5 F.14 152.756 274.656 255.784\ngp5 G.14 91.396 264.025 271.786\ngp5 A.15 37.056 300.189 213.076\ngp5 B.15 11.099 306.287 181.933\ngp5 C.15 18.045 335.505 154.609\ngp5 D.15 53.037 355.869 155.810\ngp5 E.15 80.320 346.512 184.121\ngp5 F.15 72.967 322.892 211.469\ngp5 G.15 61.343 278.399 256.408\ngp5 A.16 9.559 395.422 40.932\ngp5 B.16 48.241 408.676 37.948\ngp5 C.16 72.895 408.029 70.202\ngp5 D.16 60.395 390.217 104.365\ngp5 E.16 23.686 373.347 105.500\ngp5 F.16 -0.519 377.055 77.928\ngp5 G.16 -40.788 380.015 27.889\ngp5 A.17 3.422 390.336 -47.254\ngp5 B.17 22.060 383.938 -83.205\ngp5 C.17 59.981 397.018 -89.485\ngp5 D.17 80.929 412.692 -58.565\ngp5 E.17 63.626 414.807 -22.102\ngp5 F.17 28.045 406.747 -16.725\ngp5 G.17 -32.800 388.417 -6.923\ngp5 A.18 -57.736 329.413 -66.957\ngp5 B.18 -67.305 294.611 -86.403\ngp5 C.18 -51.307 286.126 -122.743\ngp5 D.18 -22.472 310.236 -137.836\ngp5 E.18 -10.173 342.129 -116.272\ngp5 F.18 -27.017 352.499 -85.150\ngp5 G.18 -53.809 367.667 -28.703\ngp5 A.19 -89.397 296.846 9.051\ngp5 B.19 -96.355 264.142 32.775\ngp5 C.19 -107.173 228.602 16.391\ngp5 D.19 -106.911 224.439 -23.898\ngp5 E.19 -95.723 255.752 -46.871\ngp5 F.19 -89.613 289.281 -32.786\ngp5 G.19 -74.781 346.441 -7.351\ngp5 A.20 -47.807 337.642 75.730\ngp5 B.20 -24.944 334.638 109.628\ngp5 C.20 -30.413 303.942 135.637\ngp5 D.20 -55.697 273.871 125.790\ngp5 E.20 -74.797 275.046 90.192\ngp5 F.20 -73.236 304.457 68.002\ngp5 G.20 -66.734 354.072 27.625\ngp5 A.21 426.086 244.816 -4.306\ngp5 B.21 423.818 223.318 30.530\ngp5 C.21 409.628 240.405 64.518\ngp5 D.21 393.682 277.601 62.852\ngp5 E.21 392.125 296.800 27.322\ngp5 F.21 408.339 283.429 -2.979\ngp5 G.21 432.915 257.723 -56.547\ngp5 A.22 435.198 170.136 -50.996\ngp5 B.22 426.879 130.177 -54.857\ngp5 C.22 425.169 106.133 -22.185\ngp5 D.22 427.502 122.639 14.730\ngp5 E.22 431.326 162.725 18.185\ngp5 F.22 436.851 184.540 -11.029\ngp5 G.22 442.060 222.694 -62.520\ngp5 A.23 405.375 185.308 -132.976\ngp5 B.23 379.707 174.971 -163.227\ngp5 C.23 370.537 136.038 -170.202\ngp5 D.23 383.534 107.668 -144.379\ngp5 E.23 405.223 118.809 -112.147\ngp5 F.23 417.118 153.398 -107.452\ngp5 G.23 433.923 214.638 -97.379\ngp5 A.24 377.831 269.366 -136.952\ngp5 B.24 347.493 295.797 -144.816\ngp5 C.24 321.230 288.793 -174.978\ngp5 D.24 322.539 253.378 -194.590\ngp5 E.24 349.891 225.744 -183.560\ngp5 F.24 376.410 233.040 -158.996\ngp5 G.24 419.749 244.687 -112.950\ngp5 A.25 390.631 306.144 -57.429\ngp5 B.25 374.755 325.677 -25.068\ngp5 C.25 345.390 353.296 -29.913\ngp5 D.25 328.811 358.402 -66.515\ngp5 E.25 341.796 335.748 -97.363\ngp5 F.25 370.984 313.403 -94.428\ngp5 G.25 419.127 271.315 -87.714\ngp5 A.26 244.816 426.086 4.306\ngp5 B.26 223.318 423.818 -30.530\ngp5 C.26 240.405 409.628 -64.518\ngp5 D.26 277.601 393.682 -62.852\ngp5 E.26 296.800 392.125 -27.322\ngp5 F.26 283.429 408.339 2.979\ngp5 G.26 257.723 432.915 56.547\ngp5 A.27 170.136 435.198 50.996\ngp5 B.27 130.177 426.879 54.857\ngp5 C.27 106.133 425.169 22.185\ngp5 D.27 122.639 427.502 -14.730\ngp5 E.27 162.725 431.326 -18.185\ngp5 F.27 184.540 436.851 11.029\ngp5 G.27 222.694 442.060 62.520\ngp5 A.28 185.308 405.375 132.976\ngp5 B.28 174.971 379.707 163.227\ngp5 C.28 136.038 370.537 170.202\ngp5 D.28 107.668 383.534 144.379\ngp5 E.28 118.809 405.223 112.147\ngp5 F.28 153.398 417.118 107.452\ngp5 G.28 214.638 433.923 97.379\ngp5 A.29 269.366 377.831 136.952\ngp5 B.29 295.797 347.493 144.816\ngp5 C.29 288.793 321.230 174.978\ngp5 D.29 253.378 322.539 194.590\ngp5 E.29 225.744 349.891 183.560\ngp5 F.29 233.040 376.410 158.996\ngp5 G.29 244.687 419.749 112.950\ngp5 A.30 306.144 390.631 57.429\ngp5 B.30 325.677 374.755 25.068\ngp5 C.30 353.296 345.390 29.913\ngp5 D.30 358.402 328.811 66.515\ngp5 E.30 335.748 341.796 97.363\ngp5 F.30 313.403 370.984 94.428\ngp5 G.30 271.315 419.127 87.714\ngp5 A.31 19.997 -63.819 -113.733\ngp5 B.31 13.820 -33.876 -141.048\ngp5 C.31 -16.060 -6.893 -135.789\ngp5 D.31 -37.103 -7.100 -101.182\ngp5 E.31 -27.752 -34.094 -72.594\ngp5 F.31 -3.458 -61.230 -78.367\ngp5 G.31 42.129 -105.687 -87.286\ngp5 A.32 100.658 -78.912 -146.994\ngp5 B.32 134.095 -64.070 -165.501\ngp5 C.32 130.962 -35.184 -193.862\ngp5 D.32 94.940 -18.001 -200.773\ngp5 E.32 62.948 -29.918 -179.142\ngp5 F.32 64.388 -58.699 -156.132\ngp5 G.32 68.424 -106.098 -112.874\ngp5 A.33 150.540 -114.143 -82.878\ngp5 B.33 184.521 -112.119 -60.030\ngp5 C.33 219.451 -98.945 -75.996\ngp5 D.33 219.607 -83.729 -113.533\ngp5 E.33 184.917 -81.870 -134.186\ngp5 F.33 153.779 -97.214 -121.743\ngp5 G.33 98.733 -120.213 -97.760\ngp5 A.34 100.707 -120.825 -9.992\ngp5 B.34 95.412 -111.621 29.607\ngp5 C.34 127.118 -110.061 54.921\ngp5 D.34 164.612 -113.449 39.976\ngp5 E.34 169.599 -118.153 0.146\ngp5 F.34 141.180 -123.549 -22.726\ngp5 G.34 91.170 -128.526 -62.832\ngp5 A.35 20.027 -89.722 -29.062\ngp5 B.35 -10.087 -63.264 -20.465\ngp5 C.35 -18.435 -53.170 17.967\ngp5 D.35 5.956 -66.090 47.610\ngp5 E.35 38.162 -88.626 38.213\ngp5 F.35 44.002 -101.310 4.082\ngp5 G.35 56.188 -119.549 -56.358\ngp5 A.36 -63.819 19.997 113.733\ngp5 B.36 -33.876 13.820 141.048\ngp5 C.36 -6.893 -16.060 135.789\ngp5 D.36 -7.100 -37.103 101.182\ngp5 E.36 -34.094 -27.752 72.594\ngp5 F.36 -61.230 -3.458 78.367\ngp5 G.36 -105.687 42.129 87.286\ngp5 A.37 -78.912 100.658 146.994\ngp5 B.37 -64.070 134.095 165.501\ngp5 C.37 -35.184 130.962 193.862\ngp5 D.37 -18.001 94.940 200.773\ngp5 E.37 -29.918 62.948 179.142\ngp5 F.37 -58.699 64.388 156.132\ngp5 G.37 -106.098 68.424 112.874\ngp5 A.38 -114.143 150.540 82.878\ngp5 B.38 -112.119 184.521 60.030\ngp5 C.38 -98.945 219.451 75.996\ngp5 D.38 -83.729 219.607 113.533\ngp5 E.38 -81.870 184.917 134.186\ngp5 F.38 -97.214 153.779 121.743\ngp5 G.38 -120.213 98.733 97.760\ngp5 A.39 -120.825 100.707 9.992\ngp5 B.39 -111.621 95.412 -29.607\ngp5 C.39 -110.061 127.118 -54.921\ngp5 D.39 -113.449 164.612 -39.976\ngp5 E.39 -118.153 169.599 -0.146\ngp5 F.39 -123.549 141.180 22.726\ngp5 G.39 -128.526 91.170 62.832\ngp5 A.40 -89.722 20.027 29.062\ngp5 B.40 -63.264 -10.087 20.465\ngp5 C.40 -53.170 -18.435 -17.967\ngp5 D.40 -66.090 5.956 -47.610\ngp5 E.40 -88.626 38.162 -38.213\ngp5 F.40 -101.310 44.002 -4.082\ngp5 G.40 -119.549 56.188 56.358\ngp5 A.41 368.990 101.184 179.372\ngp5 B.41 379.642 80.553 145.583\ngp5 C.41 364.531 43.583 138.270\ngp5 D.41 335.512 28.890 162.407\ngp5 E.41 322.149 51.464 193.152\ngp5 F.41 338.170 83.314 202.576\ngp5 G.41 363.541 140.859 215.958\ngp5 A.42 399.818 176.448 144.368\ngp5 B.42 406.974 198.974 110.869\ngp5 C.42 418.830 181.396 76.242\ngp5 D.42 419.438 140.975 73.716\ngp5 E.42 408.066 119.058 105.712\ngp5 F.42 401.003 134.353 138.515\ngp5 G.42 384.520 161.761 194.294\ngp5 A.43 356.114 243.856 181.603\ngp5 B.43 332.660 277.134 176.778\ngp5 C.43 338.243 301.993 145.164\ngp5 D.43 364.320 291.459 116.016\ngp5 E.43 384.083 256.333 119.009\ngp5 F.43 382.358 235.317 149.261\ngp5 G.43 375.638 196.845 200.339\ngp5 A.44 298.276 210.252 239.619\ngp5 B.44 259.399 207.019 252.225\ngp5 C.44 234.139 238.713 249.788\ngp5 D.44 246.329 272.378 230.850\ngp5 E.44 283.343 273.580 214.667\ngp5 F.44 308.002 246.677 219.964\ngp5 G.44 349.171 197.626 225.739\ngp5 A.45 306.234 122.076 238.240\ngp5 B.45 288.435 85.525 232.946\ngp5 C.45 250.386 79.007 245.527\ngp5 D.45 228.525 110.101 259.521\ngp5 E.45 245.066 146.964 260.490\ngp5 F.45 280.692 152.734 252.914\ngp5 G.45 341.694 163.025 235.392\ngp5 A.46 134.979 21.927 248.282\ngp5 B.46 111.663 55.222 253.631\ngp5 C.46 128.318 90.648 264.411\ngp5 D.46 168.661 94.018 265.704\ngp5 E.46 191.425 62.042 256.072\ngp5 F.46 176.919 28.677 250.050\ngp5 G.46 150.945 -28.265 235.315\ngp5 A.47 69.212 -18.397 204.821\ngp5 B.47 36.329 -15.197 180.545\ngp5 C.47 10.750 16.104 184.353\ngp5 D.47 20.181 46.486 209.425\ngp5 E.47 54.951 45.005 229.975\ngp5 F.47 76.584 15.140 229.891\ngp5 G.47 116.174 -35.375 226.004\ngp5 A.48 105.109 -77.999 150.055\ngp5 B.48 109.377 -92.091 111.792\ngp5 C.48 78.161 -91.316 85.840\ngp5 D.48 43.892 -72.591 96.592\ngp5 E.48 41.623 -54.959 132.888\ngp5 F.48 68.118 -58.713 158.261\ngp5 G.48 116.426 -61.829 200.579\ngp5 A.49 193.061 -74.510 159.668\ngp5 B.49 229.856 -69.194 142.386\ngp5 C.49 237.390 -83.162 105.013\ngp5 D.49 207.025 -98.653 83.136\ngp5 E.49 169.860 -99.703 98.981\ngp5 F.49 163.221 -90.819 134.150\ngp5 G.49 151.353 -71.070 194.178\ngp5 A.50 211.522 -12.753 220.377\ngp5 B.50 231.270 21.850 230.047\ngp5 C.50 268.389 29.298 215.376\ngp5 D.50 284.137 4.317 187.653\ngp5 E.50 262.442 -27.393 175.113\ngp5 F.50 230.464 -36.809 190.879\ngp5 G.50 172.687 -50.326 215.646\ngp5 A.51 101.184 368.990 -179.372\ngp5 B.51 80.553 379.642 -145.583\ngp5 C.51 43.583 364.531 -138.270\ngp5 D.51 28.890 335.512 -162.407\ngp5 E.51 51.464 322.149 -193.152\ngp5 F.51 83.314 338.170 -202.576\ngp5 G.51 140.859 363.541 -215.958\ngp5 A.52 176.448 399.818 -144.368\ngp5 B.52 198.974 406.974 -110.869\ngp5 C.52 181.396 418.830 -76.242\ngp5 D.52 140.975 419.438 -73.716\ngp5 E.52 119.058 408.066 -105.712\ngp5 F.52 134.353 401.003 -138.515\ngp5 G.52 161.761 384.520 -194.294\ngp5 A.53 243.856 356.114 -181.603\ngp5 B.53 277.134 332.660 -176.778\ngp5 C.53 301.993 338.243 -145.164\ngp5 D.53 291.459 364.320 -116.016\ngp5 E.53 256.333 384.083 -119.009\ngp5 F.53 235.317 382.358 -149.261\ngp5 G.53 196.845 375.638 -200.339\ngp5 A.54 210.252 298.276 -239.619\ngp5 B.54 207.019 259.399 -252.225\ngp5 C.54 238.713 234.139 -249.788\ngp5 D.54 272.378 246.329 -230.850\ngp5 E.54 273.580 283.343 -214.667\ngp5 F.54 246.677 308.002 -219.964\ngp5 G.54 197.626 349.171 -225.739\ngp5 A.55 122.076 306.234 -238.240\ngp5 B.55 85.525 288.435 -232.946\ngp5 C.55 79.007 250.386 -245.527\ngp5 D.55 110.101 228.525 -259.521\ngp5 E.55 146.964 245.066 -260.490\ngp5 F.55 152.734 280.692 -252.914\ngp5 G.55 163.025 341.694 -235.392\ngp5 A.56 21.927 134.979 -248.282\ngp5 B.56 55.222 111.663 -253.631\ngp5 C.56 90.648 128.318 -264.411\ngp5 D.56 94.018 168.661 -265.704\ngp5 E.56 62.042 191.425 -256.072\ngp5 F.56 28.677 176.919 -250.050\ngp5 G.56 -28.265 150.945 -235.315\ngp5 A.57 -18.397 69.212 -204.821\ngp5 B.57 -15.197 36.329 -180.545\ngp5 C.57 16.104 10.750 -184.353\ngp5 D.57 46.486 20.181 -209.425\ngp5 E.57 45.005 54.951 -229.975\ngp5 F.57 15.140 76.584 -229.891\ngp5 G.57 -35.375 116.174 -226.004\ngp5 A.58 -77.999 105.109 -150.055\ngp5 B.58 -92.091 109.377 -111.792\ngp5 C.58 -91.316 78.161 -85.840\ngp5 D.58 -72.591 43.892 -96.592\ngp5 E.58 -54.959 41.623 -132.888\ngp5 F.58 -58.713 68.118 -158.261\ngp5 G.58 -61.829 116.426 -200.579\ngp5 A.59 -74.510 193.061 -159.668\ngp5 B.59 -69.194 229.856 -142.386\ngp5 C.59 -83.162 237.390 -105.013\ngp5 D.59 -98.653 207.025 -83.136\ngp5 E.59 -99.703 169.860 -98.981\ngp5 F.59 -90.819 163.221 -134.150\ngp5 G.59 -71.070 151.353 -194.178\ngp5 A.60 -12.753 211.522 -220.377\ngp5 B.60 21.850 231.270 -230.047\ngp5 C.60 29.298 268.389 -215.376\ngp5 D.60 4.317 284.137 -187.653\ngp5 E.60 -27.393 262.442 -175.113\ngp5 F.60 -36.809 230.464 -190.879\ngp5 G.60 -50.326 172.687 -215.646\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "60",
     "unit": ""
    },
    {
     "label": "B",
     "value": "70",
     "unit": ""
    },
    {
     "label": "C",
     "value": "72",
     "unit": ""
    },
    {
     "label": "D",
     "value": "360",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ROT-7029-111",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7029 (C4H8N2S, 15 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, S 31.972071 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_11 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "QM7X-7029.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nQM7-X molecule 7029 (C4H8N2S), DFTB3+MBD-optimized geometry, angstrom\nC -3.311879 0.125362 0.386317\nC -1.827751 0.009608 0.237065\nC -1.077457 1.025212 -0.227170\nN 0.321493 1.057763 -0.422249\nC 1.283501 0.110812 -0.209097\nS 1.044547 -1.454042 0.398270\nN 2.563870 0.514745 -0.512966\nH -3.614450 -0.045857 1.421058\nH -3.824243 -0.625987 -0.217663\nH -3.672415 1.106968 0.084249\nH -1.365172 -0.932399 0.517045\nH -1.543902 1.971638 -0.507212\nH 0.660544 1.945604 -0.787833\nH 2.747290 1.383913 -0.998409\nH 3.303568 -0.172724 -0.459734\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2195.9",
     "unit": "MHz"
    },
    {
     "label": "B",
     "value": "2477.0",
     "unit": "MHz"
    },
    {
     "label": "C",
     "value": "4840.8",
     "unit": "MHz"
    },
    {
     "label": "D",
     "value": "5068.4",
     "unit": "MHz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ROT-G9-101",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is guest G9 ((3-hydroxy-1-adamantyl)ammonium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (30 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, O 15.994915 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_01 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "WP6-G9.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "30\nSAMPL9 WP6 guest G9 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.513 0.790 -0.563\nC -2.718 1.898 -1.022\nC -0.991 1.720 -2.845\nC -2.607 -0.584 -0.677\nC -0.887 -0.762 -2.496\nC -3.092 0.343 -2.963\nC -2.018 0.769 -0.242\nC -0.286 0.589 -2.073\nC -2.497 1.692 -2.531\nC -2.395 -0.792 -2.189\nN -3.171 2.784 -3.277\nO -2.943 -2.046 -2.565\nH -0.076 1.744 -0.243\nH 0.000 0.000 0.000\nH -3.789 1.899 -0.785\nH -2.316 2.868 -0.702\nH -0.554 2.686 -2.561\nH -0.818 1.592 -3.921\nH -2.140 -1.403 -0.115\nH -3.677 -0.632 -0.437\nH -0.716 -0.937 -3.566\nH -0.381 -1.586 -1.977\nH -4.174 0.309 -2.775\nH -2.971 0.185 -4.044\nH -2.171 0.911 0.833\nH 0.787 0.603 -2.292\nH -2.485 3.439 -3.667\nH -3.799 3.313 -2.663\nH -3.727 2.409 -4.052\nH -2.793 -2.144 -3.520\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1878.1",
     "unit": "MHz"
    },
    {
     "label": "B",
     "value": "2017.1",
     "unit": "MHz"
    },
    {
     "label": "C",
     "value": "2181.9",
     "unit": "MHz"
    },
    {
     "label": "D",
     "value": "2320.8",
     "unit": "MHz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ROT-G2-110",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is guest G2 (4-(1,1-dimethylpiperidin-1-ium-4-yl)-1,1-dimethyl-piperidin-1-ium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (46 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_10 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "WP6-G2.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "46\nSAMPL9 WP6 guest G2 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 2.034 -2.522 1.835\nC 0.591 -0.492 2.208\nC -0.009 -3.610 -0.014\nC -1.400 -1.539 0.331\nC 2.681 -2.313 3.199\nC 1.237 -0.282 3.572\nC -0.657 -3.818 -1.378\nC -2.048 -1.747 -1.033\nC 0.610 -1.963 1.785\nC 0.009 -2.135 0.392\nC 3.616 -0.006 2.766\nC 3.157 -0.755 5.071\nC -3.044 -4.024 -0.578\nC -2.559 -3.313 -2.889\nN 2.662 -0.841 3.621\nN -2.067 -3.224 -1.438\nH 2.651 -2.072 1.049\nH 2.009 -3.598 1.621\nH -0.448 -0.142 2.256\nH 1.085 0.131 1.453\nH -0.522 -4.212 0.745\nH 1.020 -3.988 -0.055\nH -1.348 -0.462 0.533\nH -2.031 -1.964 1.120\nH 2.134 -2.876 3.966\nH 3.724 -2.647 3.197\nH 1.287 0.783 3.826\nH 0.660 -0.801 4.347\nH -0.064 -3.323 -2.157\nH -0.733 -4.884 -1.621\nH -3.083 -1.387 -1.038\nH -1.485 -1.207 -1.805\nH -0.010 -2.533 2.491\nH 0.645 -1.589 -0.318\nH 3.558 1.027 3.114\nH 4.622 -0.409 2.898\nH 3.293 -0.089 1.727\nH 3.143 0.295 5.367\nH 2.481 -1.347 5.690\nH 4.172 -1.157 5.102\nH -4.026 -3.553 -0.662\nH -3.065 -5.047 -0.959\nH -2.683 -3.996 0.452\nH -3.564 -2.889 -2.927\nH -1.868 -2.743 -3.512\nH -2.567 -4.367 -3.175\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "679.2",
     "unit": "MHz"
    },
    {
     "label": "B",
     "value": "1724.3",
     "unit": "MHz"
    },
    {
     "label": "C",
     "value": "2455.1",
     "unit": "MHz"
    },
    {
     "label": "D",
     "value": "3448.5",
     "unit": "MHz"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ISO-7095-111",
   "family": "isotopologue_design",
   "ability": "design",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7095 (C4H8N2S, 15 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, S 31.972071 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. You will record the rotational spectrum of one singly deuterated isotopologue: exactly one of the hydrogen atoms H10, H12, H14, H15 (rows counted from 1 after the two XYZ header lines) is replaced by deuterium, D 2.014102 u, at the same position. Candidates: H10 is bonded to C1, the methyl carbon (CH3); H12 is bonded to N5, the thioamide N–H nitrogen; H14 is bonded to C7, the alkene carbon (C=C); H15 is bonded to C7, the alkene carbon (C=C). You want the largest change in the frequency of the J_KaKc = 1_11 ← 0_00 transition relative to the parent molecule (largest absolute shift). Exactly one candidate gives the largest shift. Which hydrogen should be substituted?",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "QM7X-7095.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "15\nQM7-X molecule 7095 (C4H8N2S), DFTB3+MBD-optimized geometry, angstrom\nC -0.777052 2.512133 -0.440651\nN -1.297449 1.165973 -0.329174\nC -0.564813 0.040381 -0.081919\nS -1.353564 -1.463162 0.009932\nN 0.787201 0.187138 0.080783\nC 1.675138 -0.857333 0.341916\nC 2.996861 -0.667141 0.497047\nH -1.602532 3.189617 -0.651613\nH -0.043288 2.605641 -1.253694\nH -0.290545 2.846955 0.486638\nH -2.296982 1.032460 -0.444076\nH 1.187365 1.120632 0.010080\nH 1.207366 -1.838177 0.409899\nH 3.439967 0.318192 0.425137\nH 3.646603 -1.504743 0.699099\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "H15 (row 15)"
    },
    {
     "label": "B",
     "value": "H12 (row 12)"
    },
    {
     "label": "C",
     "value": "H10 (row 10)"
    },
    {
     "label": "D",
     "value": "H14 (row 14)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ISO-G9-110",
   "family": "isotopologue_design",
   "ability": "design",
   "question": "The supplied XYZ is guest G9 ((3-hydroxy-1-adamantyl)ammonium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (30 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, O 15.994915 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. You will record the rotational spectrum of one singly deuterated isotopologue: exactly one of the hydrogen atoms H19, H20, H22, H24 (rows counted from 1 after the two XYZ header lines) is replaced by deuterium, D 2.014102 u, at the same position. Candidates: H19 is bonded to C4, the methylene carbon (CH2) in the 6-membered ring; H20 is bonded to C4, the methylene carbon (CH2) in the 6-membered ring; H22 is bonded to C5, the methylene carbon (CH2) in the 6-membered ring; H24 is bonded to C6, the methylene carbon (CH2) in the 6-membered ring. You want the largest change in the frequency of the J_KaKc = 1_10 ← 0_00 transition relative to the parent molecule (largest absolute shift). Exactly one candidate gives the largest shift. Which hydrogen should be substituted?",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "WP6-G9.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "30\nSAMPL9 WP6 guest G9 (challenge 3D structure; coordinates copied unchanged), angstrom\nC -0.513 0.790 -0.563\nC -2.718 1.898 -1.022\nC -0.991 1.720 -2.845\nC -2.607 -0.584 -0.677\nC -0.887 -0.762 -2.496\nC -3.092 0.343 -2.963\nC -2.018 0.769 -0.242\nC -0.286 0.589 -2.073\nC -2.497 1.692 -2.531\nC -2.395 -0.792 -2.189\nN -3.171 2.784 -3.277\nO -2.943 -2.046 -2.565\nH -0.076 1.744 -0.243\nH 0.000 0.000 0.000\nH -3.789 1.899 -0.785\nH -2.316 2.868 -0.702\nH -0.554 2.686 -2.561\nH -0.818 1.592 -3.921\nH -2.140 -1.403 -0.115\nH -3.677 -0.632 -0.437\nH -0.716 -0.937 -3.566\nH -0.381 -1.586 -1.977\nH -4.174 0.309 -2.775\nH -2.971 0.185 -4.044\nH -2.171 0.911 0.833\nH 0.787 0.603 -2.292\nH -2.485 3.439 -3.667\nH -3.799 3.313 -2.663\nH -3.727 2.409 -4.052\nH -2.793 -2.144 -3.520\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "H19 (row 19)"
    },
    {
     "label": "B",
     "value": "H22 (row 22)"
    },
    {
     "label": "C",
     "value": "H24 (row 24)"
    },
    {
     "label": "D",
     "value": "H20 (row 20)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-ISO-G13-111",
   "family": "isotopologue_design",
   "ability": "design",
   "question": "The supplied XYZ is guest G13 (1-methyl-4-(1-methylpyridin-1-ium-4-yl)pyridin-1-ium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (28 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. You will record the rotational spectrum of one singly deuterated isotopologue: exactly one of the hydrogen atoms H18, H23, H25, H27 (rows counted from 1 after the two XYZ header lines) is replaced by deuterium, D 2.014102 u, at the same position. Candidates: H18 is bonded to C4, the aromatic carbon in the 6-membered ring; H23 is bonded to C11, the methyl carbon (CH3); H25 is bonded to C11, the methyl carbon (CH3); H27 is bonded to C12, the methyl carbon (CH3). You want the largest change in the frequency of the J_KaKc = 1_11 ← 0_00 transition relative to the parent molecule (largest absolute shift). Exactly one candidate gives the largest shift. Which hydrogen should be substituted?",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "inputs": [
    {
     "name": "WP6-G13.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "28\nSAMPL9 WP6 guest G13 (challenge 3D structure; coordinates copied unchanged), angstrom\nC 0.784 -0.520 0.540\nC 2.880 -1.707 0.572\nC 1.427 0.212 -2.200\nC 2.652 -1.859 -2.323\nC 0.710 -0.675 1.917\nC 2.753 -1.832 1.948\nC 1.542 0.327 -3.578\nC 2.737 -1.691 -3.698\nC 1.883 -1.042 -0.135\nC 1.989 -0.894 -1.570\nC 1.579 -1.465 4.022\nC 2.290 -0.468 -5.728\nN 1.685 -1.319 2.573\nN 2.186 -0.617 -4.279\nH -0.009 0.003 0.013\nH 3.749 -2.124 0.072\nH 0.904 0.980 -1.638\nH 3.100 -2.732 -1.859\nH -0.115 -0.295 2.507\nH 3.490 -2.335 2.562\nH 1.130 1.160 -4.134\nH 3.236 -2.401 -4.346\nH 1.048 -2.395 4.246\nH 2.573 -1.495 4.476\nH 1.029 -0.617 4.439\nH 3.203 0.086 -5.962\nH 2.326 -1.449 -6.210\nH 1.420 0.076 -6.106\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "H18 (row 18)"
    },
    {
     "label": "B",
     "value": "H25 (row 25)"
    },
    {
     "label": "C",
     "value": "H27 (row 27)"
    },
    {
     "label": "D",
     "value": "H23 (row 23)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-6LYZ-SS30",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys30 and Cys115 of hen egg-white lysozyme (PDB 6LYZ, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys30) and SG(Cys115) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "6LYZ 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "inputs": [
    {
     "name": "6LYZ-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "SSBOND   2 CYS A   30    CYS A  115                          1555   1555  2.04\nATOM    233  N   CYS A  30      -3.446  25.833  12.153  1.00  8.74           N\nATOM    234  CA  CYS A  30      -2.402  26.857  12.026  1.00  5.64           C\nATOM    235  C   CYS A  30      -1.220  26.541  12.944  1.00  6.38           C\nATOM    236  O   CYS A  30      -0.052  26.500  12.500  1.00  9.03           O\nATOM    237  CB  CYS A  30      -2.789  28.170  12.105  1.00  6.76           C\nATOM    238  SG  CYS A  30      -1.561  29.508  11.989  1.00 19.88           S\nATOM    884  N   CYS A 115       0.424  32.870  14.433  1.00  3.86           N\nATOM    885  CA  CYS A 115      -0.977  32.469  14.254  1.00  5.72           C\nATOM    886  C   CYS A 115      -1.939  33.510  14.827  1.00  8.42           C\nATOM    887  O   CYS A 115      -2.800  34.059  14.105  1.00 10.34           O\nATOM    888  CB  CYS A 115      -1.473  31.102  14.660  1.00  8.91           C\nATOM    889  SG  CYS A 115      -0.692  29.682  13.829  1.00 17.65           S\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.821",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "2.042",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "2.100",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "3.112",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-1CRN-SS16",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys16 and Cys26 of crambin (PDB 1CRN, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys16) and SG(Cys26) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "1CRN 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "inputs": [
    {
     "name": "1CRN-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "SSBOND   3 CYS A   16    CYS A   26                          1555   1555  2.05\nATOM    111  N   CYS A  16       3.321   4.987   1.720  1.00  3.79           N\nATOM    112  CA  CYS A  16       2.890   6.285   1.126  1.00  3.54           C\nATOM    113  C   CYS A  16       3.687   6.597  -0.111  1.00  3.48           C\nATOM    114  O   CYS A  16       3.200   7.147  -1.103  1.00  4.63           O\nATOM    115  CB  CYS A  16       3.039   7.369   2.240  1.00  4.58           C\nATOM    116  SG  CYS A  16       2.559   9.014   1.649  1.00  5.66           S\nATOM    183  N   CYS A  26       4.032  12.764   2.313  1.00  3.92           N\nATOM    184  CA  CYS A  26       4.180  11.549   3.187  1.00  4.37           C\nATOM    185  C   CYS A  26       4.632  11.944   4.596  1.00  3.95           C\nATOM    186  O   CYS A  26       4.227  11.252   5.547  1.00  4.74           O\nATOM    187  CB  CYS A  26       5.038  10.518   2.539  1.00  4.63           C\nATOM    188  SG  CYS A  26       4.349   9.794   1.022  1.00  5.61           S\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.813",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "2.051",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "3.013",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "3.033",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DIST-WP6-C20O22",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is one WP6 (carboxylated pillar[6]arene, all twelve carboxyl groups deprotonated) host conformer from the SAMPL9 host–guest challenge (150 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms C20 (row 20) and O22 (row 22) form the delocalized C–O bond of a carboxylate group (C20 is the carboxylate carbon COO⁻, O22 one of its two terminal oxygens). What is this bond length?",
   "scope": "SAMPL9 WP6 主体单一构象；只测该结构中的键长，不据此判断键级。",
   "inputs": [
    {
     "name": "WP6.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "150\nCoordinates in angstrom; atoms numbered from 1.\nC 5.066 1.219 -1.643\nC 5.319 -1.213 -0.267\nC 4.798 0.033 -2.350\nC 5.199 1.187 -0.231\nC 5.320 -0.026 0.489\nC 4.941 -1.181 -1.634\nH 5.280 2.123 0.320\nH 4.821 -2.116 -2.178\nC 4.530 0.003 -3.858\nH 5.073 -0.854 -4.279\nH 5.032 0.860 -4.328\nO 5.266 2.377 -2.381\nO 5.769 -2.370 0.352\nC 6.340 3.215 -1.875\nH 7.111 2.615 -1.372\nH 5.913 3.923 -1.155\nC 6.593 -3.209 -0.504\nH 5.937 -3.916 -1.024\nH 7.134 -2.609 -1.248\nC 7.064 4.004 -3.001\nC 7.670 -3.998 0.291\nO 7.958 3.382 -3.659\nO 8.739 -3.376 0.588\nO 6.801 5.247 -3.085\nO 7.454 -5.241 0.463\nC 1.110 1.219 -5.209\nC 2.428 -1.213 -4.740\nC 0.364 0.033 -5.330\nC 2.400 1.187 -4.618\nC 3.083 -0.027 -4.362\nC 1.055 -1.181 -5.096\nH 2.918 2.122 -4.413\nH 0.524 -2.116 -5.264\nC -1.076 0.003 -5.852\nH -1.169 -0.854 -6.533\nH -1.232 0.860 -6.521\nO 0.571 2.377 -5.751\nO 3.189 -2.371 -4.820\nC 1.547 3.215 -6.428\nH 2.367 2.615 -6.844\nH 1.956 3.922 -5.699\nC 2.860 -3.209 -5.961\nH 2.081 -3.916 -5.654\nH 2.486 -2.609 -6.802\nC 0.934 4.004 -7.618\nC 4.086 -3.999 -6.497\nO 0.729 5.247 -7.433\nO 4.127 -5.241 -6.223\nO 0.811 3.382 -8.721\nO 4.878 -3.376 -7.274\nC -3.956 1.220 -3.566\nC -2.891 -1.213 -4.473\nC -4.434 0.033 -2.980\nC -2.799 1.188 -4.387\nC -2.236 -0.026 -4.851\nC -3.886 -1.181 -3.462\nH -2.363 2.123 -4.733\nH -4.297 -2.116 -3.086\nC -5.606 0.003 -1.994\nH -6.242 -0.853 -2.254\nH -6.264 0.860 -2.194\nO -4.695 2.377 -3.370\nO -2.580 -2.370 -5.172\nC -4.794 3.215 -4.553\nH -4.744 2.615 -5.472\nH -3.957 3.923 -4.543\nC -3.733 -3.209 -5.457\nH -3.856 -3.916 -4.629\nH -4.648 -2.609 -5.554\nC -6.130 4.005 -4.617\nC -3.584 -3.998 -6.787\nO -6.072 5.248 -4.347\nO -3.326 -5.241 -6.687\nO -7.147 3.383 -5.063\nO -3.861 -3.376 -7.862\nC -5.066 1.219 1.643\nC -5.319 -1.213 0.267\nC -4.798 0.033 2.350\nC -5.199 1.187 0.231\nC -5.320 -0.026 -0.489\nC -4.941 -1.181 1.634\nH -5.280 2.123 -0.320\nH -4.821 -2.116 2.178\nC -4.530 0.003 3.858\nH -5.073 -0.854 4.279\nH -5.032 0.860 4.328\nO -5.266 2.377 2.381\nO -5.769 -2.370 -0.352\nC -6.340 3.215 1.875\nH -7.111 2.615 1.372\nH -5.913 3.923 1.155\nC -6.593 -3.209 0.504\nH -5.937 -3.916 1.024\nH -7.134 -2.609 1.248\nC -7.064 4.004 3.001\nC -7.670 -3.998 -0.291\nO -6.801 5.247 3.085\nO -7.454 -5.241 -0.463\nO -7.958 3.382 3.659\nO -8.739 -3.376 -0.588\nC -1.110 1.219 5.209\nC -2.428 -1.213 4.740\nC -0.364 0.033 5.330\nC -2.400 1.187 4.618\nC -3.083 -0.027 4.362\nC -1.055 -1.181 5.096\nH -2.918 2.122 4.413\nH -0.524 -2.116 5.264\nC 1.076 0.003 5.852\nH 1.169 -0.854 6.533\nH 1.232 0.860 6.521\nO -0.571 2.377 5.751\nO -3.189 -2.371 4.820\nC -1.547 3.215 6.428\nH -2.367 2.615 6.844\nH -1.956 3.922 5.699\nC -2.860 -3.209 5.961\nH -2.081 -3.916 5.654\nH -2.486 -2.609 6.802\nC -0.934 4.004 7.618\nC -4.086 -3.999 6.497\nO -0.729 5.247 7.433\nO -4.127 -5.241 6.223\nO -0.811 3.382 8.721\nO -4.878 -3.376 7.274\nC 3.956 1.220 3.566\nC 2.891 -1.213 4.473\nC 4.434 0.033 2.980\nC 2.799 1.188 4.387\nC 2.236 -0.026 4.851\nC 3.886 -1.181 3.462\nH 2.363 2.123 4.733\nH 4.297 -2.116 3.086\nC 5.606 0.003 1.994\nH 6.242 -0.853 2.254\nH 6.264 0.860 2.194\nO 4.695 2.377 3.370\nO 2.580 -2.370 5.172\nC 4.794 3.215 4.553\nH 4.744 2.615 5.472\nH 3.957 3.923 4.543\nC 3.733 -3.209 5.457\nH 3.856 -3.916 4.629\nH 4.648 -2.609 5.554\nC 6.130 4.005 4.617\nC 3.584 -3.998 6.787\nO 6.072 5.248 4.347\nO 3.326 -5.241 6.687\nO 7.147 3.383 5.063\nO 3.861 -3.376 7.862\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.272",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.554",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "2.414",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "2.503",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-SI",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of silicon (Si, COD 9008565). Treat the crystal as infinite and periodic. Around the Si atom at fractional (0.0000, 0.0000, 0.0000), how many Si atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；周期晶体。",
   "inputs": [
    {
     "name": "FA-COORD-SI-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "silicon (Si, COD 9008565); cubic a = 5.43070 angstrom; 8 atoms; element x y z (fractional)\nSi 0.00000000 0.00000000 0.00000000\nSi 0.00000000 0.50000000 0.50000000\nSi 0.25000000 0.25000000 0.25000000\nSi 0.25000000 0.75000000 0.75000000\nSi 0.50000000 0.00000000 0.50000000\nSi 0.50000000 0.50000000 0.00000000\nSi 0.75000000 0.25000000 0.75000000\nSi 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 2.352 Å"
    },
    {
     "label": "B",
     "value": "12 at 2.352 Å"
    },
    {
     "label": "C",
     "value": "4 at 2.352 Å"
    },
    {
     "label": "D",
     "value": "12 at 3.840 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-NACL-CL",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678). Treat the crystal as infinite and periodic. Around the Na atom at fractional (0.0000, 0.0000, 0.0000), how many Cl atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；周期晶体。",
   "inputs": [
    {
     "name": "FA-COORD-NACL-CL-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12 at 3.988 Å"
    },
    {
     "label": "B",
     "value": "8 at 4.885 Å"
    },
    {
     "label": "C",
     "value": "3 at 2.820 Å"
    },
    {
     "label": "D",
     "value": "6 at 2.820 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-NACL-NA",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678). Treat the crystal as infinite and periodic. Around the Na atom at fractional (0.0000, 0.0000, 0.0000), how many other Na atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；周期晶体。",
   "inputs": [
    {
     "name": "FA-COORD-NACL-NA-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "halite (NaCl, COD 9008678); cubic a = 5.64056 angstrom; 8 atoms; element x y z (fractional)\nNa 0.00000000 0.00000000 0.00000000\nNa 0.00000000 0.50000000 0.50000000\nNa 0.50000000 0.00000000 0.50000000\nNa 0.50000000 0.50000000 0.00000000\nCl 0.00000000 0.00000000 0.50000000\nCl 0.00000000 0.50000000 0.00000000\nCl 0.50000000 0.00000000 0.00000000\nCl 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12 at 3.988 Å"
    },
    {
     "label": "B",
     "value": "3 at 3.988 Å"
    },
    {
     "label": "C",
     "value": "6 at 5.641 Å"
    },
    {
     "label": "D",
     "value": "6 at 3.988 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-SI",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of silicon (Si, COD 9008565). Use the kinematic structure factor with atomic numbers as angle-independent weights (Si = 14). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-SI-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "silicon (Si, COD 9008565); cubic a = 5.43070 angstrom; 8 atoms; element x y z (fractional)\nSi 0.00000000 0.00000000 0.00000000\nSi 0.00000000 0.50000000 0.50000000\nSi 0.25000000 0.25000000 0.25000000\nSi 0.25000000 0.75000000 0.75000000\nSi 0.50000000 0.00000000 0.50000000\nSi 0.50000000 0.50000000 0.00000000\nSi 0.75000000 0.25000000 0.75000000\nSi 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "14.22",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "16.31",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "23.14",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "28.44",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-DIAMOND",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of diamond (C, COD 9008564). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-DIAMOND-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "diamond (C, COD 9008564); cubic a = 3.56679 angstrom; 8 atoms; element x y z (fractional)\nC 0.00000000 0.00000000 0.00000000\nC 0.00000000 0.50000000 0.50000000\nC 0.25000000 0.25000000 0.25000000\nC 0.25000000 0.75000000 0.75000000\nC 0.50000000 0.00000000 0.50000000\nC 0.50000000 0.50000000 0.00000000\nC 0.75000000 0.25000000 0.75000000\nC 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "43.93",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "75.30",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "80.77",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "96.86",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EXT-SI",
   "family": "kinematic_extinction",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of silicon (Si, COD 9008565) as fractional coordinates. Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers as angle-independent weights (Si = 14). Exactly one of the four reflections below has |F| = 0. Which one?",
   "scope": "常规立方晶胞 8 个原子（对称展开）；零角度原子序数权重。",
   "inputs": [
    {
     "name": "FA-EXT-SI-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "silicon (Si, COD 9008565); cubic a = 5.43070 angstrom; 8 atoms; element x y z (fractional)\nSi 0.00000000 0.00000000 0.00000000\nSi 0.00000000 0.50000000 0.50000000\nSi 0.25000000 0.25000000 0.25000000\nSi 0.25000000 0.75000000 0.75000000\nSi 0.50000000 0.00000000 0.50000000\nSi 0.50000000 0.50000000 0.00000000\nSi 0.75000000 0.25000000 0.75000000\nSi 0.75000000 0.75000000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "(1 1 1)"
    },
    {
     "label": "B",
     "value": "(2 0 0)"
    },
    {
     "label": "C",
     "value": "(3 1 1)"
    },
    {
     "label": "D",
     "value": "(2 2 0)"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-GUIN-1UBQ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of ubiquitin (PDB 1UBQ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.50 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "inputs": [
    {
     "name": "1UBQ-heavy-atoms.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "602\n1UBQ chains A, non-hydrogen ATOM records (main alternate location), angstrom\nN 27.34000000 24.43000000 2.61400000\nC 26.26600000 25.41300000 2.84200000\nC 26.91300000 26.63900000 3.53100000\nO 27.88600000 26.46300000 4.26300000\nC 25.11200000 24.88000000 3.64900000\nC 25.35300000 24.86000000 5.13400000\nS 23.93000000 23.95900000 5.90400000\nC 24.44700000 23.98400000 7.62000000\nN 26.33500000 27.77000000 3.25800000\nC 26.85000000 29.02100000 3.89800000\nC 26.10000000 29.25300000 5.20200000\nO 24.86500000 29.02400000 5.33000000\nC 26.73300000 30.14800000 2.90500000\nC 26.88200000 31.54600000 3.40900000\nC 26.78600000 32.56200000 2.27000000\nO 27.78300000 33.16000000 1.87000000\nN 25.56200000 32.73300000 1.80600000\nN 26.84900000 29.65600000 6.21700000\nC 26.23500000 30.05800000 7.49700000\nC 26.88200000 31.42800000 7.86200000\nO 27.90600000 31.71100000 7.26400000\nC 26.34400000 29.05000000 8.64500000\nC 27.81000000 28.74800000 8.99900000\nC 25.49100000 27.77100000 8.28700000\nC 27.96700000 28.08700000 10.41700000\nN 26.21400000 32.09700000 8.77100000\nC 26.77200000 33.43600000 9.19700000\nC 27.15100000 33.36200000 10.65000000\nO 26.35000000 32.77800000 11.39500000\nC 25.69500000 34.49800000 8.94600000\nC 25.28800000 34.60900000 7.49900000\nC 24.14700000 33.96600000 7.03800000\nC 26.13600000 35.34600000 6.64000000\nC 23.81200000 34.03100000 5.67700000\nC 25.81000000 35.39200000 5.26700000\nC 24.62000000 34.77800000 4.85300000\nN 28.26000000 33.94300000 11.09600000\nC 28.60500000 33.96500000 12.50300000\nC 28.63800000 35.46100000 12.90000000\nO 29.52200000 36.10300000 12.32000000\nC 29.96300000 33.31700000 12.81400000\nC 30.21100000 33.39400000 14.30400000\nC 29.95700000 31.83800000 12.35200000\nN 27.75100000 35.86700000 13.74000000\nC 27.69100000 37.31500000 14.14300000\nC 28.46900000 37.47500000 15.42000000\nO 28.21300000 36.75300000 16.41100000\nC 26.21900000 37.68400000 14.30700000\nC 25.88400000 39.13900000 14.61500000\nC 24.34800000 39.29600000 14.64200000\nC 23.86500000 40.72300000 14.74900000\nN 22.37500000 40.72000000 14.90700000\nN 29.42600000 38.43000000 15.44600000\nC 30.22500000 38.64300000 16.66200000\nC 29.66400000 39.83900000 17.43400000\nO 28.85000000 40.56500000 16.85900000\nC 31.74400000 38.87900000 16.29900000\nO 31.73700000 40.25700000 15.82400000\nC 32.26000000 37.96900000 15.17100000\nN 30.13200000 40.06900000 18.64200000\nC 29.60700000 41.18000000 19.46700000\nC 30.07500000 42.53800000 18.98400000\nO 29.58600000 43.57000000 19.48300000\nC 29.91900000 40.89000000 20.93800000\nC 29.18300000 39.72200000 21.58100000\nC 29.30800000 39.75000000 23.09500000\nC 27.70000000 39.72100000 21.22800000\nN 30.99100000 42.57100000 17.99800000\nC 31.42200000 43.94000000 17.55300000\nC 30.75500000 44.35100000 16.27700000\nO 31.20700000 45.26800000 15.56600000\nC 32.97900000 43.91800000 17.44500000\nO 33.17400000 43.06700000 16.26500000\nC 33.65700000 43.31900000 18.67200000\nN 29.72100000 43.67300000 15.88500000\nC 28.97800000 43.96000000 14.67800000\nC 29.60400000 43.50700000 13.39300000\nO 29.21900000 43.98100000 12.30100000\nN 30.56300000 42.62300000 13.49500000\nC 31.19100000 42.01200000 12.33100000\nC 30.45900000 40.66600000 12.13000000\nO 30.25300000 39.99100000 13.13300000\nC 32.67200000 41.71700000 12.50500000\nC 33.28000000 41.08600000 11.22700000\nC 34.76200000 40.79900000 11.47000000\nC 35.61400000 40.84700000 10.24000000\nN 35.10000000 40.07300000 9.10100000\nN 30.16300000 40.33800000 10.88600000\nC 29.54200000 39.02000000 10.65300000\nC 30.49400000 38.26100000 9.72900000\nO 30.84900000 38.85000000 8.70600000\nC 28.11300000 39.04900000 10.01500000\nO 27.28000000 39.72200000 10.99600000\nC 27.58800000 37.63500000 9.71500000\nN 30.79500000 37.01500000 10.09500000\nC 31.72000000 36.28900000 9.17600000\nC 30.95500000 35.21100000 8.45900000\nO 30.02500000 34.61800000 9.04000000\nC 32.99500000 35.88300000 9.93400000\nC 33.30600000 34.38100000 9.84000000\nC 33.10900000 36.38100000 11.43500000\nC 34.53500000 34.02800000 10.72000000\nN 31.24400000 34.98600000 7.19700000\nC 30.50500000 33.88400000 6.51200000\nC 31.40900000 32.68000000 6.44600000\nO 32.61900000 32.81200000 6.12500000\nC 30.09100000 34.39300000 5.07800000\nO 31.44000000 34.51300000 4.48700000\nC 29.42000000 35.75600000 5.11900000\nN 30.88400000 31.48500000 6.66600000\nC 31.67700000 30.27500000 6.63900000\nC 31.02200000 29.28800000 5.66500000\nO 29.80900000 29.39500000 5.54500000\nC 31.56200000 29.68600000 8.04500000\nC 32.63100000 29.44400000 9.06000000\nC 33.81400000 30.39000000 9.03000000\nC 31.94500000 29.44900000 10.43600000\nN 31.83400000 28.41200000 5.12500000\nC 31.22000000 27.34100000 4.27500000\nC 31.44000000 26.07900000 5.08000000\nO 32.57600000 25.80200000 5.46100000\nC 31.82700000 27.26200000 2.89400000\nC 31.36300000 28.41000000 1.96200000\nC 31.67100000 28.29100000 0.49800000\nO 30.86900000 28.62100000 -0.36600000\nO 32.83500000 27.86100000 0.27800000\nN 30.31000000 25.45800000 5.38400000\nC 30.28800000 24.24500000 6.19300000\nC 29.27900000 23.22700000 5.64100000\nO 28.47800000 23.52200000 4.72500000\nC 29.90300000 24.59000000 7.66500000\nC 30.86200000 25.49600000 8.38900000\nC 28.47600000 25.13500000 7.70500000\nN 29.38000000 22.05700000 6.23200000\nC 28.46800000 20.94000000 5.98000000\nC 27.81900000 20.60900000 7.31600000\nO 28.44900000 20.67400000 8.36000000\nC 29.21300000 19.69700000 5.50600000\nC 29.72800000 19.75500000 4.06000000\nC 28.75400000 20.06100000 2.97800000\nO 27.54600000 19.99200000 2.98500000\nO 29.33600000 20.42300000 1.90400000\nN 26.55900000 20.22000000 7.28800000\nC 25.82900000 19.82500000 8.49400000\nC 26.54100000 18.73200000 9.25100000\nO 26.33300000 18.53600000 10.45700000\nC 24.46900000 19.33200000 7.95200000\nC 24.29900000 20.13400000 6.70400000\nC 25.71400000 20.10800000 6.07300000\nN 27.36100000 17.95900000 8.55900000\nC 28.05400000 16.83500000 9.21000000\nC 29.25800000 17.31800000 9.98400000\nO 29.93000000 16.47700000 10.60600000\nC 28.52300000 15.82000000 8.18200000\nO 28.94600000 16.44500000 6.96700000\nN 29.59900000 18.59900000 9.82800000\nC 30.79600000 19.08300000 10.56600000\nC 30.49100000 19.16200000 12.04000000\nO 29.36700000 19.52300000 12.44100000\nC 31.15500000 20.51500000 10.04800000\nC 31.92300000 20.43600000 8.75500000\nO 32.49300000 19.37400000 8.45600000\nO 31.83800000 21.40200000 7.96800000\nN 31.51000000 18.93600000 12.85200000\nC 31.39800000 19.06400000 14.28600000\nC 31.59300000 20.55300000 14.65500000\nO 32.15900000 21.31100000 13.86100000\nC 32.49200000 18.19300000 14.99500000\nO 33.77800000 18.73900000 14.51600000\nC 32.35200000 16.70000000 14.63000000\nN 31.11300000 20.86300000 15.86000000\nC 31.28800000 22.20100000 16.41700000\nC 32.77600000 22.51900000 16.57700000\nO 33.23300000 23.65900000 16.38400000\nC 30.52000000 22.30000000 17.76400000\nC 29.00600000 22.04300000 17.44200000\nC 30.83200000 23.69900000 18.35800000\nC 28.40700000 22.94800000 16.36600000\nN 33.54800000 21.52600000 16.95000000\nC 35.03100000 21.72200000 17.06900000\nC 35.61500000 22.19000000 15.75900000\nO 36.53200000 23.04600000 15.72400000\nC 35.66700000 20.38300000 17.44700000\nC 37.12800000 20.29300000 17.87200000\nC 37.56100000 18.85100000 18.08200000\nO 37.75800000 18.02400000 17.19500000\nO 37.62800000 18.59900000 19.31300000\nN 35.13900000 21.62400000 14.66200000\nC 35.59000000 21.94500000 13.30200000\nC 35.23800000 23.38200000 12.92000000\nO 36.06600000 24.10900000 12.33300000\nC 35.06400000 20.95700000 12.25500000\nC 35.54100000 21.41800000 10.87100000\nO 36.77200000 21.62300000 10.67600000\nN 34.62800000 21.59500000 9.92000000\nN 34.00700000 23.74500000 13.25000000\nC 33.53300000 25.09700000 12.97800000\nC 34.44100000 26.09900000 13.68400000\nO 34.88300000 27.09000000 13.09300000\nC 32.06000000 25.25700000 13.36400000\nC 31.68400000 26.74900000 13.34200000\nC 31.15200000 24.42100000 12.47700000\nN 34.73400000 25.82200000 14.94900000\nC 35.59600000 26.71500000 15.73600000\nC 36.97500000 26.82600000 15.10700000\nO 37.57900000 27.92600000 15.15900000\nC 35.71500000 26.20300000 17.17200000\nC 34.34300000 26.44500000 17.89800000\nC 34.50900000 26.07700000 19.36000000\nC 33.20600000 26.31100000 20.12200000\nN 33.45500000 25.91000000 21.54600000\nN 37.49900000 25.74300000 14.57100000\nC 38.79400000 25.76100000 13.88000000\nC 38.72800000 26.59100000 12.61100000\nO 39.70400000 27.34600000 12.27700000\nC 39.28500000 24.33600000 13.56600000\nN 37.63300000 26.54300000 11.86700000\nC 37.47100000 27.39100000 10.66800000\nC 37.44100000 28.88200000 11.05200000\nO 38.02000000 29.77200000 10.38200000\nC 36.19300000 27.05800000 9.91100000\nC 36.15300000 25.62000000 9.40900000\nC 34.75800000 25.28000000 8.90000000\nC 34.79300000 24.26400000 7.76700000\nN 34.91400000 24.94400000 6.44100000\nN 36.81100000 29.17000000 12.19200000\nC 36.73100000 30.57000000 12.64500000\nC 38.14800000 30.98100000 13.06900000\nO 38.54400000 32.15000000 12.85600000\nC 35.70800000 30.77600000 13.80600000\nC 34.22800000 30.63000000 13.31900000\nC 35.87400000 32.13800000 14.51200000\nC 33.28400000 30.50400000 14.55200000\nN 38.88300000 30.11000000 13.71300000\nC 40.26900000 30.50800000 14.11500000\nC 41.09200000 30.80800000 12.85100000\nO 41.82800000 31.80800000 12.68100000\nC 40.99600000 29.39900000 14.86500000\nC 42.44500000 29.84800000 15.18200000\nC 43.09000000 28.82800000 16.09500000\nO 42.77000000 27.65500000 15.90600000\nN 43.89800000 29.25200000 17.05000000\nN 41.00100000 29.87800000 11.93100000\nC 41.71800000 30.02200000 10.64300000\nC 41.39900000 31.33800000 9.96700000\nO 42.26000000 32.03600000 9.38100000\nC 41.39800000 28.78000000 9.81000000\nC 42.62600000 28.55700000 8.92800000\nO 43.66600000 28.26200000 9.53900000\nO 42.43000000 28.81200000 7.72800000\nN 40.11700000 31.75000000 9.98800000\nC 39.80800000 32.99400000 9.23300000\nC 39.83700000 34.27100000 9.99500000\nO 40.16400000 35.32300000 9.34500000\nC 38.61500000 32.80100000 8.32000000\nC 37.22000000 32.82200000 8.82700000\nC 36.35100000 33.61300000 7.83800000\nC 36.32200000 32.94400000 6.47700000\nN 35.76800000 33.94500000 5.48900000\nN 39.65500000 34.33500000 11.28500000\nC 39.67600000 35.54700000 12.07200000\nC 40.67500000 35.52700000 13.20000000\nO 40.81400000 36.52800000 13.91100000\nC 38.29000000 35.81400000 12.69800000\nC 37.15600000 35.98500000 11.68800000\nC 37.19200000 37.36100000 11.03300000\nO 37.51900000 38.36000000 11.64500000\nO 36.86100000 37.32000000 9.82200000\nN 41.31700000 34.39300000 13.43200000\nC 42.34500000 34.26900000 14.43100000\nC 41.94900000 34.07600000 15.84200000\nO 42.82900000 34.00000000 16.73900000\nN 40.64200000 33.91600000 16.11200000\nC 40.22600000 33.71600000 17.50900000\nC 40.44900000 32.27800000 17.94500000\nO 39.93600000 31.33600000 17.31500000\nC 38.69300000 34.10600000 17.59500000\nC 38.47100000 35.54600000 17.04500000\nC 38.14600000 33.93200000 19.02700000\nC 36.95800000 35.74600000 16.68000000\nN 41.18900000 32.08500000 19.03100000\nC 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    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.709",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.892",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.944",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.960",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-GUIN-1CRN",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of crambin (PDB 1CRN, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.50 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "inputs": [
    {
     "name": "1CRN-heavy-atoms.xyz",
     "format": "xyz",
     "unit": "angstrom",
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3.96400000 13.56700000 -3.81100000\nN 7.72800000 13.29700000 -0.92100000\nC 8.11400000 13.10300000 0.50000000\nC 7.42700000 14.07300000 1.41000000\nO 7.03600000 13.68200000 2.54000000\nC 9.64800000 13.28500000 0.66000000\nC 10.44000000 12.09300000 0.06300000\nC 11.94100000 12.17000000 0.39100000\nO 12.41600000 13.22500000 0.68100000\nO 12.53900000 11.07000000 0.29200000\nN 7.21200000 15.33400000 0.96600000\nC 6.61400000 16.31700000 1.91300000\nC 5.21200000 15.93600000 2.35000000\nO 4.78200000 16.16600000 3.49500000\nC 6.60500000 17.69500000 1.24600000\nN 4.44500000 15.31800000 1.40500000\nC 3.07400000 14.89400000 1.75600000\nC 3.08500000 13.64300000 2.64500000\nO 2.31500000 13.52300000 3.57800000\nC 2.20400000 14.63700000 0.46200000\nC 1.81500000 16.04800000 -0.12900000\nC 0.90300000 13.86400000 0.81100000\nC 0.75600000 16.76100000 0.75700000\nN 4.03200000 12.76400000 2.31300000\nC 4.18000000 11.54900000 3.18700000\nC 4.63200000 11.94400000 4.59600000\nO 4.22700000 11.25200000 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7.99500000\nC 2.98600000 9.99400000 8.95000000\nC 3.60900000 10.50500000 10.23000000\nO 3.76600000 9.71500000 11.18600000\nC 4.07600000 9.10300000 8.22500000\nO 5.12500000 10.02700000 7.82400000\nC 3.49300000 8.32400000 7.03500000\nN 3.98400000 11.76400000 10.24100000\nC 4.76900000 12.33600000 11.36000000\nC 6.25500000 12.24300000 11.10600000\nO 7.03700000 12.75000000 11.95400000\nN 6.71000000 11.63100000 9.99200000\nC 8.14000000 11.69400000 9.63500000\nC 8.50000000 13.14100000 9.20600000\nO 7.58100000 13.94900000 8.94400000\nC 8.50400000 10.68600000 8.53000000\nS 8.04800000 8.98700000 8.88100000\nN 9.79300000 13.41000000 9.17300000\nC 10.28000000 14.76000000 8.82300000\nC 11.34600000 14.65800000 7.74300000\nO 11.97100000 13.58300000 7.55200000\nC 10.79000000 15.53500000 10.08500000\nC 12.05900000 14.80300000 10.67100000\nC 9.68400000 15.68600000 11.13800000\nC 12.73300000 15.67600000 11.78100000\nN 11.49000000 15.77300000 7.03800000\nC 12.55200000 15.87700000 6.03600000\nC 13.59000000 16.91700000 6.56000000\nO 13.16800000 18.00600000 6.94500000\nC 11.98700000 16.36000000 4.68100000\nC 10.91400000 15.33800000 4.16300000\nC 13.13100000 16.51700000 3.62900000\nC 10.15100000 16.02400000 2.93800000\nN 14.85600000 16.49300000 6.53600000\nC 15.93000000 17.45400000 6.94100000\nC 16.91300000 17.55000000 5.81900000\nO 17.09700000 16.66000000 4.97000000\nC 16.62200000 16.99500000 8.28500000\nC 17.36000000 15.65100000 8.06700000\nC 15.59200000 16.97400000 9.43400000\nC 18.29800000 15.20600000 9.21900000\nN 17.66400000 18.66900000 5.80600000\nC 18.63500000 18.86100000 4.73800000\nC 19.92500000 18.04200000 4.94900000\nO 20.59300000 17.74200000 3.94500000\nC 18.94500000 20.36400000 4.78300000\nC 18.23800000 20.93700000 5.90800000\nC 17.37100000 19.90000000 6.59600000\nN 20.17200000 17.73000000 6.21700000\nC 21.45200000 16.96900000 6.51300000\nC 21.14300000 15.47800000 6.42700000\nO 20.13800000 15.02300000 5.87800000\nN 22.05500000 14.70100000 7.03200000\nC 22.01900000 13.24200000 7.02000000\nC 21.94400000 12.62800000 8.39600000\nO 21.86900000 11.38700000 8.43500000\nC 23.24600000 12.69700000 6.27500000\nN 21.89400000 13.43500000 9.43600000\nC 21.93600000 12.91100000 10.80900000\nC 20.61500000 13.19100000 11.52100000\nO 20.35700000 14.31700000 11.94800000\nC 23.13100000 13.60100000 11.59300000\nO 24.28400000 13.40100000 10.70900000\nC 23.34000000 12.93500000 12.96200000\nN 19.82700000 12.11000000 11.64200000\nC 18.50400000 12.31200000 12.29800000\nC 18.68400000 12.45100000 13.78400000\nO 19.53300000 11.71800000 14.36200000\nC 17.58200000 11.11700000 11.99600000\nS 17.19900000 10.92900000 10.23700000\nN 17.88000000 13.26600000 14.42600000\nC 17.92400000 13.42100000 15.87700000\nC 17.39200000 12.20600000 16.59400000\nO 16.65200000 11.36800000 16.03300000\nC 17.07600000 14.65800000 16.14500000\nC 16.09800000 14.68900000 14.99700000\nC 16.85900000 14.15000000 13.77900000\nN 17.72800000 12.12400000 17.88400000\nC 17.33400000 10.95600000 18.69100000\nC 15.87500000 10.68800000 18.87100000\nO 15.43400000 9.55000000 19.16600000\nN 15.03600000 11.74700000 18.71500000\nC 13.56400000 11.57300000 18.83600000\nC 12.93600000 11.22700000 17.47000000\nO 11.72000000 11.04000000 17.42800000\nC 12.93300000 12.73700000 19.58000000\nC 13.14000000 14.09400000 18.95800000\nO 14.10900000 14.30300000 18.21200000\nO 12.26700000 14.96300000 19.26500000\nN 13.72500000 11.17400000 16.42500000\nC 13.25700000 10.74500000 15.08100000\nC 14.27500000 9.68700000 14.61200000\nO 14.93000000 9.86200000 13.56800000\nC 13.20000000 11.91400000 14.07100000\nC 12.00000000 12.81900000 14.39900000\nC 12.11900000 13.85300000 15.33200000\nC 10.77500000 12.61700000 13.76200000\nC 11.04500000 14.67500000 15.61000000\nC 9.67600000 13.43300000 14.04800000\nC 9.80200000 14.45600000 14.99600000\nO 8.74000000 15.26500000 15.26900000\nN 14.34200000 8.64000000 15.42200000\nC 15.44500000 7.66700000 15.24600000\nC 15.17100000 6.53300000 14.28000000\nO 16.09300000 5.70500000 14.03900000\nC 15.68000000 7.09900000 16.68200000\nN 13.96600000 6.50200000 13.73900000\nC 13.51200000 5.39500000 12.87800000\nC 13.31100000 5.85300000 11.45500000\nO 13.73300000 6.92900000 11.02600000\nC 12.26600000 4.76900000 13.50100000\nC 12.53800000 4.30400000 14.92200000\nO 11.98200000 4.84900000 15.88600000\nN 13.40700000 3.29800000 15.01500000\nO 12.70300000 4.97300000 10.74600000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.792",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.830",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.925",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.969",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FRET-1BNA",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1BNA (B-DNA dodecamer (Drew–Dickerson)), copied unchanged. Model a FRET donor as a point at atom C1' of nucleotide Dc1 and an acceptor as a point at atom C1' of nucleotide Dg12. Assume a Förster radius R0 = 3.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针；R0 为题设值；不代表真实染料位置。",
   "inputs": [
    {
     "name": "1BNA-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  O5'  DC A   1      18.935  34.195  25.617  1.00 64.35           O\nATOM      2  C5'  DC A   1      19.130  33.921  24.219  1.00 44.69           C\nATOM      3  C4'  DC A   1      19.961  32.668  24.100  1.00 31.28           C\nATOM      4  O4'  DC A   1      19.360  31.583  24.852  1.00 37.45           O\nATOM      5  C3'  DC A   1      20.172  32.122  22.694  1.00 46.72           C\nATOM      6  O3'  DC A   1      21.350  31.325  22.681  1.00 48.89           O\nATOM      7  C2'  DC A   1      18.948  31.223  22.647  1.00 30.88           C\nATOM      8  C1'  DC A   1      19.231  30.482  23.944  1.00 36.58           C\nATOM      9  N1   DC A   1      18.070  29.661  24.380  1.00 40.51           N\nATOM     10  C2   DC A   1      18.224  28.454  25.015  1.00 16.62           C\nATOM     11  O2   DC A   1      19.360  28.014  25.214  1.00 27.75           O\nATOM     12  N3   DC A   1      17.143  27.761  25.377  1.00 20.55           N\nATOM     13  C4   DC A   1      15.917  28.226  25.120  1.00 34.72           C\nATOM     14  N4   DC A   1      14.828  27.477  25.444  1.00 40.31           N\nATOM     15  C5   DC A   1      15.719  29.442  24.471  1.00 30.78           C\nATOM     16  C6   DC A   1      16.843  30.171  24.101  1.00 25.90           C\nATOM     17  P    DG A   2      22.409  31.286  21.483  1.00 58.85           P\nATOM     18  OP1  DG A   2      23.536  32.157  21.851  1.00 57.82           O\nATOM     19  OP2  DG A   2      21.822  31.459  20.139  1.00 78.33           O\nATOM     20  O5'  DG A   2      22.840  29.751  21.498  1.00 40.36           O\nATOM     21  C5'  DG A   2      23.543  29.175  22.594  1.00 47.19           C\nATOM     22  C4'  DG A   2      23.494  27.709  22.279  1.00 47.81           C\nATOM     23  O4'  DG A   2      22.193  27.252  22.674  1.00 38.76           O\nATOM     24  C3'  DG A   2      23.693  27.325  20.807  1.00 28.58           C\nATOM     25  O3'  DG A   2      24.723  26.320  20.653  1.00 40.44           O\nATOM     26  C2'  DG A   2      22.273  26.885  20.416  1.00 21.14           C\nATOM     27  C1'  DG A   2      21.721  26.304  21.716  1.00 33.95           C\nATOM     28  N9   DG A   2      20.237  26.470  21.780  1.00 34.00           N\nATOM     29  C8   DG A   2      19.526  27.584  21.429  1.00 36.47           C\nATOM     30  N7   DG A   2      18.207  27.455  21.636  1.00 32.37           N\nATOM     31  C5   DG A   2      18.083  26.212  22.142  1.00 15.06           C\nATOM     32  C6   DG A   2      16.904  25.525  22.545  1.00 11.88           C\nATOM     33  O6   DG A   2      15.739  25.916  22.518  1.00 21.30           O\nATOM     34  N1   DG A   2      17.197  24.279  23.037  1.00 15.44           N\nATOM     35  C2   DG A   2      18.434  23.717  23.155  1.00  9.63           C\nATOM     36  N2   DG A   2      18.508  22.456  23.668  1.00 16.69           N\nATOM     37  N3   DG A   2      19.537  24.360  22.770  1.00 30.98           N\nATOM     38  C4   DG A   2      19.290  25.594  22.274  1.00 18.56           C\nATOM     39  P    DC A   3      25.064  25.621  19.252  1.00 44.67           P\nATOM     40  OP1  DC A   3      26.506  25.316  19.220  1.00 53.89           O\nATOM     41  OP2  DC A   3      24.559  26.412  18.115  1.00 57.79           O\nATOM     42  O5'  DC A   3      24.260  24.246  19.327  1.00 35.42           O\nATOM     43  C5'  DC A   3      24.584  23.285  20.335  1.00 45.75           C\nATOM     44  C4'  DC A   3      23.523  22.233  20.245  1.00 43.02           C\nATOM     45  O4'  DC A   3      22.256  22.844  20.453  1.00 36.85           O\nATOM     46  C3'  DC A   3      23.424  21.557  18.903  1.00 40.14           C\nATOM     47  O3'  DC A   3      24.121  20.309  18.928  1.00 49.62           O\nATOM     48  C2'  DC A   3      21.930  21.406  18.661  1.00 53.79           C\nATOM     49  C1'  DC A   3      21.278  21.966  19.909  1.00 22.18           C\nATOM     50  N1   DC A   3      20.196  22.889  19.521  1.00 25.44           N\nATOM     51  C2   DC A   3      18.909  22.584  19.816  1.00 19.81           C\nATOM     52  O2   DC A   3      18.685  21.512  20.382  1.00 29.92           O\nATOM     53  N3   DC A   3      17.935  23.447  19.502  1.00 21.59           N\nATOM     54  C4   DC A   3      18.217  24.603  18.897  1.00 14.01           C\nATOM     55  N4   DC A   3      17.221  25.499  18.629  1.00 26.88           N\nATOM     56  C5   DC A   3      19.526  24.945  18.571  1.00 27.59           C\nATOM     57  C6   DC A   3      20.537  24.048  18.899  1.00 27.05           C\nATOM     58  P    DG A   4      24.249  19.412  17.617  1.00 44.54           P\nATOM     59  OP1  DG A   4      25.420  18.535  17.765  1.00 61.90           O\nATOM     60  OP2  DG A   4      24.208  20.296  16.440  1.00 37.36           O\nATOM     61  O5'  DG A   4      22.931  18.537  17.670  1.00 32.01           O\nATOM     62  C5'  DG A   4      22.714  17.625  18.753  1.00 37.89           C\nATOM     63  C4'  DG A   4      21.393  16.960  18.505  1.00 53.00           C\nATOM     64  O4'  DG A   4      20.353  17.952  18.496  1.00 38.79           O\nATOM     65  C3'  DG A   4      21.264  16.229  17.176  1.00 56.72           C\nATOM     66  O3'  DG A   4      20.284  15.214  17.238  1.00 64.12           O\nATOM     67  C2'  DG A   4      20.793  17.368  16.288  1.00 40.81           C\nATOM     68  C1'  DG A   4      19.716  17.901  17.218  1.00 30.52           C\nATOM     69  N9   DG A   4      19.305  19.281  16.869  1.00 28.53           N\nATOM     70  C8   DG A   4      20.017  20.263  16.232  1.00 27.82           C\nATOM     71  N7   DG A   4      19.313  21.394  16.077  1.00 28.01           N\nATOM     72  C5   DG A   4      18.121  21.100  16.635  1.00 23.22           C\nATOM     73  C6   DG A   4      16.952  21.904  16.749  1.00 29.21           C\nATOM     74  O6   DG A   4      16.769  23.057  16.368  1.00 38.58           O\nATOM     75  N1   DG A   4      15.933  21.214  17.352  1.00 27.94           N\nATOM     76  C2   DG A   4      15.972  19.930  17.816  1.00 23.44           C\nATOM     77  N2   DG A   4      14.831  19.416  18.353  1.00 42.64           N\nATOM     78  N3   DG A   4      17.068  19.179  17.717  1.00 21.56           N\nATOM     79  C4   DG A   4      18.084  19.825  17.121  1.00 23.44           C\nATOM     80  P    DA A   5      20.356  13.969  16.245  1.00 57.01           P\nATOM     81  OP1  DA A   5      21.116  12.891  16.892  1.00 58.59           O\nATOM     82  OP2  DA A   5      20.837  14.423  14.910  1.00 51.96           O\nATOM     83  O5'  DA A   5      18.810  13.581  16.161  1.00 47.12           O\nATOM     84  C5'  DA A   5      18.015  13.569  17.362  1.00 47.67           C\nATOM     85  C4'  DA A   5      16.672  14.088  16.957  1.00 64.79           C\nATOM     86  O4'  DA A   5      16.842  15.447  16.561  1.00 47.60           O\nATOM     87  C3'  DA A   5      16.019  13.393  15.764  1.00 51.50           C\nATOM     88  O3'  DA A   5      14.762  12.796  16.120  1.00 52.18           O\nATOM     89  C2'  DA A   5      15.952  14.498  14.696  1.00 45.00           C\nATOM     90  C1'  DA A   5      15.851  15.732  15.569  1.00 26.88           C\nATOM     91  N9   DA A   5      16.391  16.916  14.867  1.00 16.69           N\nATOM     92  C8   DA A   5      17.658  17.103  14.382  1.00 28.14           C\nATOM     93  N7   DA A   5      17.863  18.346  13.913  1.00 34.85           N\nATOM     94  C5   DA A   5      16.673  18.953  14.098  1.00 22.49           C\nATOM     95  C6   DA A   5      16.230  20.279  13.819  1.00 18.12           C\nATOM     96  N6   DA A   5      17.045  21.222  13.268  1.00 29.30           N\nATOM     97  N1   DA A   5      14.966  20.578  14.118  1.00 27.61           N\nATOM     98  C2   DA A   5      14.178  19.652  14.669  1.00 18.53           C\nATOM     99  N3   DA A   5      14.463  18.392  14.984  1.00 29.16           N\nATOM    100  C4   DA A   5      15.750  18.110  14.661  1.00 15.08           C\nATOM    101  P    DA A   6      13.866  12.006  15.063  1.00 43.68           P\nATOM    102  OP1  DA A   6      13.028  11.039  15.800  1.00 42.55           O\nATOM    103  OP2  DA A   6      14.715  11.499  13.968  1.00 54.20           O\nATOM    104  O5'  DA A   6      12.879  13.111  14.480  1.00 28.20           O\nATOM    105  C5'  DA A   6      11.802  13.597  15.290  1.00 42.29           C\nATOM    106  C4'  DA A   6      11.111  14.603  14.435  1.00 33.23           C\nATOM    107  O4'  DA A   6      12.152  15.460  13.962  1.00 41.48           O\nATOM    108  C3'  DA A   6      10.417  14.070  13.187  1.00 18.16           C\nATOM    109  O3'  DA A   6       9.007  14.369  13.181  1.00 30.42           O\nATOM    110  C2'  DA A   6      11.240  14.692  12.061  1.00 52.97           C\nATOM    111  C1'  DA A   6      11.699  15.974  12.719  1.00 38.93           C\nATOM    112  N9   DA A   6      12.918  16.526  12.078  1.00 19.06           N\nATOM    113  C8   DA A   6      14.115  15.899  11.868  1.00 17.83           C\nATOM    114  N7   DA A   6      15.049  16.714  11.356  1.00 29.55           N\nATOM    115  C5   DA A   6      14.416  17.901  11.246  1.00 19.88           C\nATOM    116  C6   DA A   6      14.873  19.187  10.815  1.00 17.26           C\nATOM    117  N6   DA A   6      16.161  19.418  10.427  1.00 19.85           N\nATOM    118  N1   DA A   6      13.999  20.191  10.852  1.00 17.93           N\nATOM    119  C2   DA A   6      12.753  19.962  11.272  1.00 23.00           C\nATOM    120  N3   DA A   6      12.210  18.824  11.698  1.00 21.37           N\nATOM    121  C4   DA A   6      13.116  17.823  11.657  1.00 15.93           C\nATOM    122  P    DT A   7       8.081  14.050  11.915  1.00 40.72           P\nATOM    123  OP1  DT A   7       6.668  13.960  12.342  1.00 46.75           O\nATOM    124  OP2  DT A   7       8.600  12.894  11.137  1.00 42.53           O\nATOM    125  O5'  DT A   7       8.239  15.387  11.076  1.00 35.21           O\nATOM    126  C5'  DT A   7       7.907  16.635  11.686  1.00 34.88           C\nATOM    127  C4'  DT A   7       8.162  17.628  10.598  1.00 31.45           C\nATOM    128  O4'  DT A   7       9.543  17.580  10.279  1.00 46.82           O\nATOM    129  C3'  DT A   7       7.461  17.284   9.296  1.00 23.76           C\nATOM    130  O3'  DT A   7       6.251  18.034   9.162  1.00 44.27           O\nATOM    131  C2'  DT A   7       8.532  17.527   8.223  1.00 26.30           C\nATOM    132  C1'  DT A   7       9.644  18.209   9.019  1.00 28.96           C\nATOM    133  N1   DT A   7      11.021  17.903   8.565  1.00 20.47           N\nATOM    134  C2   DT A   7      11.822  18.923   8.176  1.00 28.01           C\nATOM    135  O2   DT A   7      11.383  20.077   8.143  1.00 40.01           O\nATOM    136  N3   DT A   7      13.119  18.641   7.852  1.00 27.94           N\nATOM    137  C4   DT A   7      13.633  17.372   7.882  1.00 15.14           C\nATOM    138  O4   DT A   7      14.830  17.222   7.619  1.00 32.54           O\nATOM    139  C5   DT A   7      12.781  16.325   8.235  1.00 10.83           C\nATOM    140  C7   DT A   7      13.269  14.902   8.236  1.00 36.33           C\nATOM    141  C6   DT A   7      11.465  16.616   8.594  1.00 12.19           C\nATOM    142  P    DT A   8       5.384  17.990   7.824  1.00 49.10           P\nATOM    143  OP1  DT A   8       4.025  18.444   8.180  1.00 41.11           O\nATOM    144  OP2  DT A   8       5.458  16.668   7.160  1.00 39.21           O\nATOM    145  O5'  DT A   8       6.086  19.118   6.927  1.00 48.80           O\nATOM    146  C5'  DT A   8       6.146  20.478   7.418  1.00 34.73           C\nATOM    147  C4'  DT A   8       6.995  21.229   6.438  1.00 28.73           C\nATOM    148  O4'  DT A   8       8.188  20.458   6.284  1.00 39.07           O\nATOM    149  C3'  DT A   8       6.418  21.332   5.029  1.00 37.88           C\nATOM    150  O3'  DT A   8       5.967  22.667   4.696  1.00 52.04           O\nATOM    151  C2'  DT A   8       7.513  20.718   4.139  1.00 32.80           C\nATOM    152  C1'  DT A   8       8.736  20.855   5.034  1.00 36.58           C\nATOM    153  N1   DT A   8       9.823  19.876   4.759  1.00 24.57           N\nATOM    154  C2   DT A   8      11.086  20.316   4.494  1.00 19.41           C\nATOM    155  O2   DT A   8      11.324  21.516   4.389  1.00 32.74           O\nATOM    156  N3   DT A   8      12.094  19.403   4.412  1.00 25.12           N\nATOM    157  C4   DT A   8      11.876  18.060   4.551  1.00 31.35           C\nATOM    158  O4   DT A   8      12.858  17.317   4.503  1.00 28.53           O\nATOM    159  C5   DT A   8      10.569  17.611   4.765  1.00 22.80           C\nATOM    160  C7   DT A   8      10.261  16.140   4.896  1.00 24.98           C\nATOM    161  C6   DT A   8       9.545  18.548   4.904  1.00 20.28           C\nATOM    162  P    DC A   9       5.531  23.071   3.209  1.00 48.97           P\nATOM    163  OP1  DC A   9       4.648  24.244   3.269  1.00 62.33           O\nATOM    164  OP2  DC A   9       5.010  21.905   2.470  1.00 51.53           O\nATOM    165  O5'  DC A   9       6.926  23.547   2.611  1.00 43.99           O\nATOM    166  C5'  DC A   9       7.636  24.627   3.249  1.00 50.86           C\nATOM    167  C4'  DC A   9       8.897  24.853   2.457  1.00 46.66           C\nATOM    168  O4'  DC A   9       9.638  23.627   2.448  1.00 42.69           O\nATOM    169  C3'  DC A   9       8.717  25.240   0.998  1.00 56.96           C\nATOM    170  O3'  DC A   9       9.470  26.414   0.667  1.00 63.54           O\nATOM    171  C2'  DC A   9       9.126  23.965   0.253  1.00 50.41           C\nATOM    172  C1'  DC A   9      10.241  23.483   1.157  1.00 41.08           C\nATOM    173  N1   DC A   9      10.524  22.022   1.015  1.00 37.23           N\nATOM    174  C2   DC A   9      11.814  21.603   0.840  1.00 40.54           C\nATOM    175  O2   DC A   9      12.691  22.447   0.670  1.00 43.89           O\nATOM    176  N3   DC A   9      12.106  20.297   0.873  1.00 32.57           N\nATOM    177  C4   DC A   9      11.141  19.395   1.046  1.00 24.65           C\nATOM    178  N4   DC A   9      11.461  18.075   1.089  1.00 27.84           N\nATOM    179  C5   DC A   9       9.803  19.775   1.177  1.00 17.61           C\nATOM    180  C6   DC A   9       9.499  21.133   1.167  1.00 30.63           C\nATOM    181  P    DG A  10       9.055  27.333  -0.581  1.00 65.48           P\nATOM    182  OP1  DG A  10       9.496  28.717  -0.258  1.00 59.09           O\nATOM    183  OP2  DG A  10       7.632  27.106  -0.947  1.00 45.71           O\nATOM    184  O5'  DG A  10       9.954  26.765  -1.771  1.00 70.30           O\nATOM    185  C5'  DG A  10      11.382  26.940  -1.720  1.00 71.73           C\nATOM    186  C4'  DG A  10      11.972  26.090  -2.802  1.00 58.69           C\nATOM    187  O4'  DG A  10      11.802  24.724  -2.404  1.00 41.03           O\nATOM    188  C3'  DG A  10      11.327  26.178  -4.188  1.00 45.61           C\nATOM    189  O3'  DG A  10      12.311  26.096  -5.214  1.00 52.70           O\nATOM    190  C2'  DG A  10      10.414  24.962  -4.186  1.00 36.02           C\nATOM    191  C1'  DG A  10      11.429  24.028  -3.587  1.00 50.90           C\nATOM    192  N9   DG A  10      10.890  22.713  -3.200  1.00 45.86           N\nATOM    193  C8   DG A  10       9.616  22.315  -2.910  1.00 44.49           C\nATOM    194  N7   DG A  10       9.541  21.009  -2.613  1.00 39.96           N\nATOM    195  C5   DG A  10      10.818  20.588  -2.718  1.00 38.99           C\nATOM    196  C6   DG A  10      11.376  19.292  -2.511  1.00 35.78           C\nATOM    197  O6   DG A  10      10.813  18.252  -2.179  1.00 34.90           O\nATOM    198  N1   DG A  10      12.729  19.299  -2.720  1.00 23.54           N\nATOM    199  C2   DG A  10      13.498  20.365  -3.082  1.00  8.73           C\nATOM    200  N2   DG A  10      14.834  20.169  -3.237  1.00 23.15           N\nATOM    201  N3   DG A  10      12.982  21.573  -3.267  1.00 24.68           N\nATOM    202  C4   DG A  10      11.656  21.601  -3.061  1.00 31.53           C\nATOM    203  P    DC A  11      12.763  27.421  -5.980  1.00 60.62           P\nATOM    204  OP1  DC A  11      12.796  28.572  -5.049  1.00 63.74           O\nATOM    205  OP2  DC A  11      11.886  27.542  -7.164  1.00 52.44           O\nATOM    206  O5'  DC A  11      14.272  27.086  -6.366  1.00 57.57           O\nATOM    207  C5'  DC A  11      15.275  27.108  -5.318  1.00 54.70           C\nATOM    208  C4'  DC A  11      16.222  25.946  -5.510  1.00 72.51           C\nATOM    209  O4'  DC A  11      15.443  24.754  -5.397  1.00 47.18           O\nATOM    210  C3'  DC A  11      16.942  25.827  -6.848  1.00 29.82           C\nATOM    211  O3'  DC A  11      18.340  25.511  -6.701  1.00 43.53           O\nATOM    212  C2'  DC A  11      16.118  24.767  -7.578  1.00 51.34           C\nATOM    213  C1'  DC A  11      15.856  23.836  -6.414  1.00 30.07           C\nATOM    214  N1   DC A  11      14.672  22.975  -6.637  1.00 23.25           N\nATOM    215  C2   DC A  11      14.802  21.628  -6.529  1.00 20.38           C\nATOM    216  O2   DC A  11      15.924  21.178  -6.314  1.00 38.77           O\nATOM    217  N3   DC A  11      13.723  20.842  -6.627  1.00 15.92           N\nATOM    218  C4   DC A  11      12.515  21.373  -6.836  1.00 15.82           C\nATOM    219  N4   DC A  11      11.410  20.574  -6.872  1.00 28.04           N\nATOM    220  C5   DC A  11      12.348  22.744  -6.978  1.00 26.17           C\nATOM    221  C6   DC A  11      13.470  23.558  -6.869  1.00 35.50           C\nATOM    222  P    DG A  12      19.331  25.774  -7.925  1.00 55.98           P\nATOM    223  OP1  DG A  12      20.704  25.976  -7.408  1.00 45.83           O\nATOM    224  OP2  DG A  12      18.763  26.851  -8.758  1.00 44.26           O\nATOM    225  O5'  DG A  12      19.302  24.412  -8.763  1.00 62.63           O\nATOM    226  C5'  DG A  12      20.109  23.284  -8.359  1.00 69.50           C\nATOM    227  C4'  DG A  12      19.748  22.167  -9.299  1.00 39.92           C\nATOM    228  O4'  DG A  12      18.350  21.969  -9.139  1.00 32.00           O\nATOM    229  C3'  DG A  12      19.921  22.404 -10.815  1.00 50.39           C\nATOM    230  O3'  DG A  12      20.985  21.635 -11.401  1.00 64.13           O\nATOM    231  C2'  DG A  12      18.535  22.062 -11.381  1.00 36.18           C\nATOM    232  C1'  DG A  12      17.965  21.200 -10.269  1.00 24.79           C\nATOM    233  N9   DG A  12      16.493  21.220 -10.265  1.00 28.44           N\nATOM    234  C8   DG A  12      15.663  22.289 -10.478  1.00 31.85           C\nATOM    235  N7   DG A  12      14.368  21.958 -10.390  1.00 38.26           N\nATOM    236  C5   DG A  12      14.388  20.640 -10.102  1.00 28.99           C\nATOM    237  C6   DG A  12      13.301  19.742  -9.856  1.00 42.63           C\nATOM    238  O6   DG A  12      12.091  19.967  -9.857  1.00 49.17           O\nATOM    239  N1   DG A  12      13.750  18.466  -9.625  1.00 40.15           N\nATOM    240  C2   DG A  12      15.042  18.043  -9.605  1.00 33.42           C\nATOM    241  N2   DG A  12      15.259  16.717  -9.406  1.00 40.53           N\nATOM    242  N3   DG A  12      16.061  18.885  -9.792  1.00 37.34           N\nATOM    243  C4   DG A  12      15.660  20.156 -10.027  1.00 31.14           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.063",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.480",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.520",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.693",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-BNP002-1UBQ",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 76 Cα atoms of ubiquitin (PDB 1UBQ, chain A), one point per residue (angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1UBQ 链 A 的全部 Cα 位点（76 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "inputs": [
    {
     "name": "BNP002-S0006.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "76\nCoordinates in angstrom; atoms numbered from 1.\nC 26.266 25.413 2.842\nC 26.850 29.021 3.898\nC 26.235 30.058 7.497\nC 26.772 33.436 9.197\nC 28.605 33.965 12.503\nC 27.691 37.315 14.143\nC 30.225 38.643 16.662\nC 29.607 41.180 19.467\nC 31.422 43.940 17.553\nC 28.978 43.960 14.678\nC 31.191 42.012 12.331\nC 29.542 39.020 10.653\nC 31.720 36.289 9.176\nC 30.505 33.884 6.512\nC 31.677 30.275 6.639\nC 31.220 27.341 4.275\nC 30.288 24.245 6.193\nC 28.468 20.940 5.980\nC 25.829 19.825 8.494\nC 28.054 16.835 9.210\nC 30.796 19.083 10.566\nC 31.398 19.064 14.286\nC 31.288 22.201 16.417\nC 35.031 21.722 17.069\nC 35.590 21.945 13.302\nC 33.533 25.097 12.978\nC 35.596 26.715 15.736\nC 38.794 25.761 13.880\nC 37.471 27.391 10.668\nC 36.731 30.570 12.645\nC 40.269 30.508 14.115\nC 41.718 30.022 10.643\nC 39.808 32.994 9.233\nC 39.676 35.547 12.072\nC 42.345 34.269 14.431\nC 40.226 33.716 17.509\nC 41.461 30.751 19.594\nC 38.817 28.020 19.889\nC 39.063 28.063 23.695\nC 37.738 31.637 23.712\nC 34.738 30.875 21.473\nC 31.200 30.329 22.780\nC 28.762 29.573 19.906\nC 25.034 30.170 20.401\nC 22.126 29.062 18.183\nC 18.443 29.143 19.083\nC 19.399 29.894 22.655\nC 21.550 26.796 23.133\nC 25.349 26.872 23.643\nC 26.826 24.521 21.012\nC 29.015 21.657 22.288\nC 32.262 20.670 20.514\nC 31.568 16.962 19.825\nC 28.108 17.439 18.276\nC 27.574 18.192 14.563\nC 25.594 21.109 13.072\nC 22.924 18.583 12.025\nC 22.418 17.638 15.693\nC 21.079 21.149 16.251\nC 19.065 21.352 12.999\nC 21.184 24.263 11.690\nC 20.081 24.773 8.033\nC 21.656 26.847 5.240\nC 21.907 30.563 5.881\nC 21.419 30.253 9.620\nC 23.212 32.762 11.891\nC 25.149 31.609 14.980\nC 26.179 34.127 17.650\nC 29.801 34.145 18.829\nC 30.479 35.369 22.374\nC 34.145 35.472 23.481\nC 35.161 34.174 26.896\nC 38.668 35.502 27.680\nC 40.873 33.802 30.253\nC 41.845 36.550 32.686\nC 40.373 39.813 33.944\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "11.0116",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "11.4929",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "11.5693",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "23.5565",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-BNP002-1CRN",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 46 Cα atoms of crambin (PDB 1CRN, chain A), one point per residue (angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1CRN 链 A 的全部 Cα 位点（46 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "inputs": [
    {
     "name": "BNP002-S0007.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "46\nCoordinates in angstrom; atoms numbered from 1.\nC 16.967 12.784 4.338\nC 13.856 11.469 6.066\nC 13.660 10.707 9.787\nC 10.646 8.991 11.408\nC 9.448 9.034 15.012\nC 8.673 5.314 15.279\nC 8.912 2.083 13.258\nC 5.145 2.209 12.453\nC 5.598 5.767 11.082\nC 8.496 4.609 8.837\nC 6.500 1.584 7.565\nC 3.545 3.935 6.751\nC 5.929 6.358 5.055\nC 7.331 3.607 2.791\nC 3.782 2.599 1.742\nC 2.890 6.285 1.126\nC 5.895 6.489 -1.213\nC 4.933 3.431 -3.326\nC 2.792 5.376 -5.797\nC 5.366 8.191 -6.018\nC 3.767 10.609 -3.513\nC 6.143 13.513 -2.696\nC 8.114 13.103 0.500\nC 6.614 16.317 1.913\nC 3.074 14.894 1.756\nC 4.180 11.549 3.187\nC 5.879 13.502 6.026\nC 2.691 15.221 7.194\nC 0.715 12.045 6.657\nC 2.986 9.994 8.950\nC 4.769 12.336 11.360\nC 8.140 11.694 9.635\nC 10.280 14.760 8.823\nC 12.552 15.877 6.036\nC 15.930 17.454 6.941\nC 18.635 18.861 4.738\nC 21.452 16.969 6.513\nC 22.019 13.242 7.020\nC 21.936 12.911 10.809\nC 18.504 12.312 12.298\nC 17.924 13.421 15.877\nC 17.334 10.956 18.691\nC 13.564 11.573 18.836\nC 13.257 10.745 15.081\nC 15.445 7.667 15.246\nC 13.512 5.395 12.878\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "9.6755",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "9.7824",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "13.8344",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "15.2732",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FC-BNP001-1CRN",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 46 Cα atoms of crambin (PDB 1CRN, chain A), one point per residue (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1CRN 链 A 的全部 Cα 位点（46 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "inputs": [
    {
     "name": "BNP001-S0007.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "46\nCoordinates in angstrom; atoms numbered from 1.\nC 16.967 12.784 4.338\nC 13.856 11.469 6.066\nC 13.660 10.707 9.787\nC 10.646 8.991 11.408\nC 9.448 9.034 15.012\nC 8.673 5.314 15.279\nC 8.912 2.083 13.258\nC 5.145 2.209 12.453\nC 5.598 5.767 11.082\nC 8.496 4.609 8.837\nC 6.500 1.584 7.565\nC 3.545 3.935 6.751\nC 5.929 6.358 5.055\nC 7.331 3.607 2.791\nC 3.782 2.599 1.742\nC 2.890 6.285 1.126\nC 5.895 6.489 -1.213\nC 4.933 3.431 -3.326\nC 2.792 5.376 -5.797\nC 5.366 8.191 -6.018\nC 3.767 10.609 -3.513\nC 6.143 13.513 -2.696\nC 8.114 13.103 0.500\nC 6.614 16.317 1.913\nC 3.074 14.894 1.756\nC 4.180 11.549 3.187\nC 5.879 13.502 6.026\nC 2.691 15.221 7.194\nC 0.715 12.045 6.657\nC 2.986 9.994 8.950\nC 4.769 12.336 11.360\nC 8.140 11.694 9.635\nC 10.280 14.760 8.823\nC 12.552 15.877 6.036\nC 15.930 17.454 6.941\nC 18.635 18.861 4.738\nC 21.452 16.969 6.513\nC 22.019 13.242 7.020\nC 21.936 12.911 10.809\nC 18.504 12.312 12.298\nC 17.924 13.421 15.877\nC 17.334 10.956 18.691\nC 13.564 11.573 18.836\nC 13.257 10.745 15.081\nC 15.445 7.667 15.246\nC 13.512 5.395 12.878\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "9.6755",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "29.0219",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "32.4219",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "37.0145",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HBG-TWO-OO",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer TWO of 3-hydroxy-2-butenamide (enol form, hydroxyl toward the amide carbonyl), a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, O6, the hydroxyl oxygen (OH), is covalently bonded to H5, and O14, the carbonyl oxygen (C=O), is the candidate hydrogen-bond acceptor (rows 6, 5 and 14, counted from 1 after the two XYZ header lines). What is the donor–acceptor distance O6···O14?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "inputs": [
    {
     "name": "HBP002-S0005.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1679 -0.0705 0.0003\nC -0.0054 -0.7575 -0.0073\nC -1.2628 -0.0311 -0.0040\nH 0.0109 -1.8351 -0.0197\nH 0.2587 1.5453 0.0028\nO 1.2197 1.2584 0.0073\nC 2.5078 -0.7195 0.0012\nH 3.0645 -0.4049 0.8827\nH 3.0700 -0.3954 -0.8734\nH 2.4225 -1.8019 -0.0050\nN -2.4053 -0.7683 -0.0315\nH -2.3779 -1.7539 0.1480\nH -3.2714 -0.2776 0.1026\nO -1.3180 1.2134 -0.0022\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.611",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "2.538",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "2.614",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "4.153",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HBG-FIVE-HN",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer FIVE of 3-hydroxy-2-butenamide, a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, O5, the hydroxyl oxygen (OH), is covalently bonded to H4, and N11, the amide NH2 nitrogen, is the candidate hydrogen-bond acceptor (rows 5, 4 and 11, counted from 1 after the two XYZ header lines). What is the hydrogen–acceptor distance H4···N11?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "inputs": [
    {
     "name": "HBI002-S0008.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1439 -0.0462 -0.0029\nC 0.0228 -0.7783 0.1943\nH 0.1266 -1.8386 0.3559\nH 0.2435 1.5542 -0.4421\nO 1.1690 1.2652 -0.3243\nC 2.5174 -0.6156 0.0806\nH 3.1008 -0.0582 0.8123\nH 3.0162 -0.5119 -0.8820\nH 2.4905 -1.6631 0.3629\nO -2.2874 -0.9775 -0.3051\nN -1.5009 1.1067 0.2421\nH -2.4756 1.3703 0.1846\nH -1.0735 1.4338 1.0988\nC -1.3467 -0.2825 0.0363\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1.757",
     "unit": "angstrom"
    },
    {
     "label": "B",
     "value": "1.926",
     "unit": "angstrom"
    },
    {
     "label": "C",
     "value": "2.734",
     "unit": "angstrom"
    },
    {
     "label": "D",
     "value": "3.582",
     "unit": "angstrom"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HBG-FOUR-ANG",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer FOUR of 3-hydroxy-2-butenamide, a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, N3, the amide NH2 nitrogen, is covalently bonded to H5, and O13, the hydroxyl oxygen (OH), is the candidate hydrogen-bond acceptor (rows 3, 5 and 13, counted from 1 after the two XYZ header lines). What is the N3–H5···O13 angle at the hydrogen H5?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "inputs": [
    {
     "name": "HBI002-S0007.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.4076 -0.2178 -0.0026\nO 2.3605 -0.9897 0.0260\nN 1.5654 1.1340 -0.0441\nH 2.5019 1.4832 0.0480\nH 0.7797 1.7510 0.0378\nC 0.0240 -0.7420 -0.0146\nH -0.0283 -1.8188 -0.0256\nC -1.1416 -0.0757 -0.0004\nC -2.4764 -0.7417 -0.0052\nH -3.0446 -0.4620 0.8838\nH -3.0503 -0.4363 -0.8819\nH -2.3703 -1.8215 -0.0212\nO -1.1769 1.2961 0.0203\nH -2.0963 1.5786 0.0346\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "16.6",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "34.9",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "128.6",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "149.8",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HBC-SET1",
   "family": "hbond_criteria",
   "ability": "inference",
   "question": "Four computed conformers of 3-hydroxy-2-butenamide (enol tautomers and rotamers) from Altun, Bleda & Trindle (2021) are supplied. Attached: conformer TWO = conformer_TWO.xyz, conformer THREE = conformer_THREE.xyz, conformer FOUR = conformer_FOUR.xyz, conformer FIVE = conformer_FIVE.xyz (atoms are numbered by XYZ row, counted from 1 after the two header lines; numbering differs between conformers). Use these geometric criteria for an intramolecular hydrogen bond D–H···A: H···A distance ≤ 2.2 Å and D–H···A angle ≥ 130° (vertex at H). These are task criteria, not a universal definition. Which of the four candidate contacts meets both criteria?",
   "scope": "论文 SI 中的计算构象（坐标原样）；几何判据为题设操作定义，不据此判断氢键能量或光谱位移。",
   "inputs": [
    {
     "name": "conformer_TWO.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1679 -0.0705 0.0003\nC -0.0054 -0.7575 -0.0073\nC -1.2628 -0.0311 -0.0040\nH 0.0109 -1.8351 -0.0197\nH 0.2587 1.5453 0.0028\nO 1.2197 1.2584 0.0073\nC 2.5078 -0.7195 0.0012\nH 3.0645 -0.4049 0.8827\nH 3.0700 -0.3954 -0.8734\nH 2.4225 -1.8019 -0.0050\nN -2.4053 -0.7683 -0.0315\nH -2.3779 -1.7539 0.1480\nH -3.2714 -0.2776 0.1026\nO -1.3180 1.2134 -0.0022\n"
    },
    {
     "name": "conformer_THREE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC -1.3359 0.0434 -0.0285\nH -0.0391 -1.7351 -0.1183\nC 1.1689 -0.0649 0.0023\nC -0.0391 -0.6578 -0.0510\nO 1.2971 1.2792 0.0882\nO -1.4834 1.2539 -0.0865\nN -2.4169 -0.8174 0.0136\nH -3.2967 -0.3752 0.2206\nH -2.2852 -1.7402 0.3865\nC 2.4479 -0.8375 -0.0261\nH 3.0513 -0.5323 -0.8826\nH 2.2643 -1.9049 -0.0955\nH 3.0267 -0.6418 0.8782\nH 2.2367 1.4872 0.1216\n"
    },
    {
     "name": "conformer_FOUR.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.4076 -0.2178 -0.0026\nO 2.3605 -0.9897 0.0260\nN 1.5654 1.1340 -0.0441\nH 2.5019 1.4832 0.0480\nH 0.7797 1.7510 0.0378\nC 0.0240 -0.7420 -0.0146\nH -0.0283 -1.8188 -0.0256\nC -1.1416 -0.0757 -0.0004\nC -2.4764 -0.7417 -0.0052\nH -3.0446 -0.4620 0.8838\nH -3.0503 -0.4363 -0.8819\nH -2.3703 -1.8215 -0.0212\nO -1.1769 1.2961 0.0203\nH -2.0963 1.5786 0.0346\n"
    },
    {
     "name": "conformer_FIVE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1439 -0.0462 -0.0029\nC 0.0228 -0.7783 0.1943\nH 0.1266 -1.8386 0.3559\nH 0.2435 1.5542 -0.4421\nO 1.1690 1.2652 -0.3243\nC 2.5174 -0.6156 0.0806\nH 3.1008 -0.0582 0.8123\nH 3.0162 -0.5119 -0.8820\nH 2.4905 -1.6631 0.3629\nO -2.2874 -0.9775 -0.3051\nN -1.5009 1.1067 0.2421\nH -2.4756 1.3703 0.1846\nH -1.0735 1.4338 1.0988\nC -1.3467 -0.2825 0.0363\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "O6–H5···O14 in conformer TWO"
    },
    {
     "label": "B",
     "value": "N11–H13···O14 in conformer TWO"
    },
    {
     "label": "C",
     "value": "N11–H13···O5 in conformer FIVE"
    },
    {
     "label": "D",
     "value": "O5–H14···O6 in conformer THREE"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-HBC-SET2",
   "family": "hbond_criteria",
   "ability": "inference",
   "question": "Four computed conformers of 3-hydroxy-2-butenamide (enol tautomers and rotamers) from Altun, Bleda & Trindle (2021) are supplied. Attached: conformer TWO = conformer_TWO.xyz, conformer THREE = conformer_THREE.xyz, conformer FOUR = conformer_FOUR.xyz, conformer FIVE = conformer_FIVE.xyz (atoms are numbered by XYZ row, counted from 1 after the two header lines; numbering differs between conformers). Use these geometric criteria for an intramolecular hydrogen bond D–H···A: H···A distance ≤ 2.2 Å and D–H···A angle ≥ 130° (vertex at H). These are task criteria, not a universal definition. Which of the four candidate contacts meets both criteria?",
   "scope": "论文 SI 中的计算构象（坐标原样）；几何判据为题设操作定义，不据此判断氢键能量或光谱位移。",
   "inputs": [
    {
     "name": "conformer_TWO.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1679 -0.0705 0.0003\nC -0.0054 -0.7575 -0.0073\nC -1.2628 -0.0311 -0.0040\nH 0.0109 -1.8351 -0.0197\nH 0.2587 1.5453 0.0028\nO 1.2197 1.2584 0.0073\nC 2.5078 -0.7195 0.0012\nH 3.0645 -0.4049 0.8827\nH 3.0700 -0.3954 -0.8734\nH 2.4225 -1.8019 -0.0050\nN -2.4053 -0.7683 -0.0315\nH -2.3779 -1.7539 0.1480\nH -3.2714 -0.2776 0.1026\nO -1.3180 1.2134 -0.0022\n"
    },
    {
     "name": "conformer_THREE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC -1.3359 0.0434 -0.0285\nH -0.0391 -1.7351 -0.1183\nC 1.1689 -0.0649 0.0023\nC -0.0391 -0.6578 -0.0510\nO 1.2971 1.2792 0.0882\nO -1.4834 1.2539 -0.0865\nN -2.4169 -0.8174 0.0136\nH -3.2967 -0.3752 0.2206\nH -2.2852 -1.7402 0.3865\nC 2.4479 -0.8375 -0.0261\nH 3.0513 -0.5323 -0.8826\nH 2.2643 -1.9049 -0.0955\nH 3.0267 -0.6418 0.8782\nH 2.2367 1.4872 0.1216\n"
    },
    {
     "name": "conformer_FOUR.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.4076 -0.2178 -0.0026\nO 2.3605 -0.9897 0.0260\nN 1.5654 1.1340 -0.0441\nH 2.5019 1.4832 0.0480\nH 0.7797 1.7510 0.0378\nC 0.0240 -0.7420 -0.0146\nH -0.0283 -1.8188 -0.0256\nC -1.1416 -0.0757 -0.0004\nC -2.4764 -0.7417 -0.0052\nH -3.0446 -0.4620 0.8838\nH -3.0503 -0.4363 -0.8819\nH -2.3703 -1.8215 -0.0212\nO -1.1769 1.2961 0.0203\nH -2.0963 1.5786 0.0346\n"
    },
    {
     "name": "conformer_FIVE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1439 -0.0462 -0.0029\nC 0.0228 -0.7783 0.1943\nH 0.1266 -1.8386 0.3559\nH 0.2435 1.5542 -0.4421\nO 1.1690 1.2652 -0.3243\nC 2.5174 -0.6156 0.0806\nH 3.1008 -0.0582 0.8123\nH 3.0162 -0.5119 -0.8820\nH 2.4905 -1.6631 0.3629\nO -2.2874 -0.9775 -0.3051\nN -1.5009 1.1067 0.2421\nH -2.4756 1.3703 0.1846\nH -1.0735 1.4338 1.0988\nC -1.3467 -0.2825 0.0363\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "O13–H14···N3 in conformer FOUR"
    },
    {
     "label": "B",
     "value": "O5–H4···N11 in conformer FIVE"
    },
    {
     "label": "C",
     "value": "N3–H4···O13 in conformer FOUR"
    },
    {
     "label": "D",
     "value": "N7–H8···O6 in conformer THREE"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FP-QM7X-7040-D1",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7040：A 为 DFTB3+MBD 优化结构，B 为配对位移结构 c1-d1；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "inputs": [
    {
     "name": "A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\nA: Geom-m7040-i1-c1-opt (DFTB3+MBD optimized reference), angstrom\nC -1.77265000 0.28012700 -1.14655200\nC -0.24720900 0.33963600 -1.10234100\nS 0.38093100 -0.13593400 0.57406800\nO -0.23279800 -1.36958000 1.02897400\nO 1.81265400 0.08764500 0.66093100\nN -0.50215500 1.36947700 1.60436400\nC 0.40696300 -0.57538200 -2.14081000\nH -2.20703500 0.94264000 -0.40171400\nH -2.12945000 -0.73033000 -0.96023900\nH -2.12857600 0.58878200 -2.12748300\nH 0.08200800 1.37394600 -1.27467200\nH -1.10466800 0.93549600 2.30518100\nH 0.24472700 1.87463400 2.08378600\nH 0.12385000 -1.61389800 -1.98248000\nH 1.49154500 -0.50468000 -2.09848500\nH 0.08632600 -0.28880600 -3.14056100\n"
    },
    {
     "name": "B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\nB: Geom-m7040-i1-c1-d1 (paired displaced structure), angstrom\nC -1.87622400 -0.37843500 -1.20963700\nC -0.40234700 0.34741300 -1.04740900\nS 0.33963400 -0.14483400 0.59531600\nO -0.63892100 -1.15968000 1.30417600\nO 1.78406200 -0.26881100 0.60520100\nN -0.09001700 1.56200000 1.59055400\nC 0.70277400 -0.00097600 -2.34609600\nH -2.78470600 -0.18355500 -0.23654000\nH -1.94288400 -1.56287800 -1.32498300\nH -2.36242700 -0.19033800 -2.15245600\nH -0.70565100 1.62776400 -1.00378400\nH -0.61423500 1.24528600 2.48935900\nH 0.89044400 2.08414700 1.77200800\nH 0.85479000 -1.20292400 -2.32656200\nH 1.77488300 0.72151900 -2.23037900\nH 0.37941800 0.46424300 -3.30175600\n"
    },
    {
     "name": "forces_B.txt",
     "format": "force-table",
     "unit": "eV/angstrom",
     "text": "row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\n1 C -1.327406 -1.985359 2.588839\n2 C -1.469250 1.661281 -2.274532\n3 S -3.957624 0.399893 4.701641\n4 O 4.109387 3.469233 -2.989338\n5 O -1.527456 -0.280033 -0.541606\n6 N 1.834297 -1.436681 -0.031566\n7 C 1.241637 0.851784 2.386943\n8 H 3.329434 -0.200343 -3.071910\n9 H 1.117987 2.261457 0.897077\n10 H 0.058403 1.255038 -0.361939\n11 H 1.429127 -4.084555 0.136903\n12 H 1.805392 0.551899 -1.941094\n13 H -2.971974 -2.012568 -0.105996\n14 H -0.055329 3.225397 -0.381810\n15 H -2.993656 -2.733353 0.354180\n16 H -0.622968 -0.943090 0.634208\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-0.9140",
     "unit": "eV"
    },
    {
     "label": "B",
     "value": "5.9171",
     "unit": "eV"
    },
    {
     "label": "C",
     "value": "11.8341",
     "unit": "eV"
    },
    {
     "label": "D",
     "value": "21.4197",
     "unit": "eV"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-FP-QM7X-7040-D2",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(B) + λ[r_i(A) − r_i(B)], which starts at B and moves toward A, what is dE/dλ at λ = 0 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7040：A 为 DFTB3+MBD 优化结构，B 为配对位移结构 c1-d2；B 处 PBE0+MBD 总力；路径从 B 指向 A，只问 λ=0（即 B 处）方向导数。",
   "inputs": [
    {
     "name": "A.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\nA: Geom-m7040-i1-c1-opt (DFTB3+MBD optimized reference), angstrom\nC -1.77265000 0.28012700 -1.14655200\nC -0.24720900 0.33963600 -1.10234100\nS 0.38093100 -0.13593400 0.57406800\nO -0.23279800 -1.36958000 1.02897400\nO 1.81265400 0.08764500 0.66093100\nN -0.50215500 1.36947700 1.60436400\nC 0.40696300 -0.57538200 -2.14081000\nH -2.20703500 0.94264000 -0.40171400\nH -2.12945000 -0.73033000 -0.96023900\nH -2.12857600 0.58878200 -2.12748300\nH 0.08200800 1.37394600 -1.27467200\nH -1.10466800 0.93549600 2.30518100\nH 0.24472700 1.87463400 2.08378600\nH 0.12385000 -1.61389800 -1.98248000\nH 1.49154500 -0.50468000 -2.09848500\nH 0.08632600 -0.28880600 -3.14056100\n"
    },
    {
     "name": "B.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "16\nB: Geom-m7040-i1-c1-d2 (paired displaced structure), angstrom\nC -1.68089100 0.22015600 -1.19616200\nC -0.13085600 0.30512800 -1.06473100\nS 0.39047900 -0.13434200 0.57708100\nO -0.26332100 -1.29773500 1.10158800\nO 1.78088600 0.13819300 0.67798200\nN -0.48233600 1.31268500 1.65689600\nC 0.31941400 -0.56127400 -2.20208600\nH -2.25985300 0.69594000 -0.35512300\nH -2.37491800 -0.81519600 -1.65572500\nH -1.85748100 0.92105000 -2.08457300\nH 0.15666700 1.32773000 -1.36329900\nH -1.11325100 0.89534900 2.36269300\nH 0.38570200 1.73108700 2.18917700\nH 0.06316400 -1.57194800 -1.76296000\nH 1.41173100 -0.34649600 -2.55154600\nH -0.46959300 -0.38455800 -3.06890100\n"
    },
    {
     "name": "forces_B.txt",
     "format": "force-table",
     "unit": "eV/angstrom",
     "text": "row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\n1 C -3.080407 0.325449 -1.703138\n2 C -2.434160 0.364407 -1.342171\n3 S -2.230096 2.955811 3.166527\n4 O 0.619199 -0.171294 -1.021654\n5 O 0.584160 -0.413307 -0.071595\n6 N 3.158794 -0.665113 -0.535410\n7 C 0.249786 -1.147606 -1.087058\n8 H 0.672363 -0.768247 -0.674255\n9 H 2.901388 2.670409 1.932452\n10 H -0.011618 -0.765724 1.185392\n11 H -0.013997 -0.131303 1.253943\n12 H 0.752089 -0.186177 -0.664896\n13 H -2.249907 -1.215405 -1.355080\n14 H 1.052882 0.384773 -1.351311\n15 H -2.023276 -0.899029 0.683864\n16 H 2.052799 -0.337643 1.584390\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-5.0423",
     "unit": "eV"
    },
    {
     "label": "B",
     "value": "-0.6163",
     "unit": "eV"
    },
    {
     "label": "C",
     "value": "5.4891",
     "unit": "eV"
    },
    {
     "label": "D",
     "value": "9.5279",
     "unit": "eV"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-CAO-COHERENCE",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Twisted bilayer graphene near the magic angle (MA-TBG) becomes superconducting when doped slightly away from half filling of its flat band. The attached evidence.txt gives the evidence (facts E1–E3 from Cao et al., Nature 556, 43 (2018); numbers as reported in the paper). Estimate the mean spacing between the carriers that form the condensate (one over the square root of their areal density) and compare it with the coherence length. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The perpendicular critical field follows the two-dimensional Ginzburg-Landau form and gives a coherence length of about 52 nm at T = 0.\nE2. The current-voltage curves of the device with the highest Tc (1.7 K) were taken at a gate-induced density of -1.47 × 10^12 cm^-2, measured from charge neutrality.\nE3. Quantum oscillations above the superconducting dome show small Fermi pockets: the carriers that matter are counted from the half-filling insulating state, n' = |n| - ns/2, which is only about 1.5 × 10^11 cm^-2 at optimal doping.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Mean carrier spacing ≈ 8.2 nm. The coherence length is many times this spacing, as in a conventional weak-coupling BCS superconductor in which each pair overlaps many others."
    },
    {
     "label": "B",
     "value": "Mean carrier spacing ≈ 25.8 nm. The coherence length is many times this spacing, as in a conventional weak-coupling BCS superconductor in which each pair overlaps many others."
    },
    {
     "label": "C",
     "value": "Mean carrier spacing ≈ 8.2 nm. The coherence length is only about twice this spacing, so a pair is hardly larger than the distance between carriers: MA-TBG is a strong-coupling superconductor close to the BCS-BEC crossover."
    },
    {
     "label": "D",
     "value": "Mean carrier spacing ≈ 25.8 nm. The coherence length is only about twice this spacing, so a pair is hardly larger than the distance between carriers: MA-TBG is a strong-coupling superconductor close to the BCS-BEC crossover."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-CAO-SQUID",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "In an MA-TBG device (twist angle 1.16°), transport near the boundary between the superconducting dome and the half-filling insulator shows oscillations in a perpendicular magnetic field B. The attached evidence.txt gives the evidence (facts E1–E3 from Cao et al., Nature 556, 43 (2018); numbers as reported in the paper). Treat the oscillation as flux quantization through a superconducting loop and find the effective loop area. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. At a density of -1.48 × 10^12 cm^-2 the critical current is largest at B = 0 and oscillates periodically in B with a period of 22.5 mT.\nE2. The device area between the voltage probes is approximately 1 µm^2.\nE3. The electrical contacts are non-superconducting Cr/Au, so no superconductivity is induced by proximity to the leads.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Effective loop area ≈ 0.092 µm². The loop is roughly a tenth of the device area, so the oscillation comes from SQUID-like superconducting loops around insulating islands: the superconducting state is spatially inhomogeneous on this scale."
    },
    {
     "label": "B",
     "value": "Effective loop area ≈ 0.092 µm². The loop is essentially the whole device, so the oscillation shows a single uniform superconducting ring spanning the Hall bar."
    },
    {
     "label": "C",
     "value": "Effective loop area ≈ 0.184 µm². The loop is essentially the whole device, so the oscillation shows a single uniform superconducting ring spanning the Hall bar."
    },
    {
     "label": "D",
     "value": "Effective loop area ≈ 0.184 µm². The loop is roughly a tenth of the device area, so the oscillation comes from SQUID-like superconducting loops around insulating islands: the superconducting state is spatially inhomogeneous on this scale."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-CAO-PAULI",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "The superconducting state of an atomically thin MA-TBG device (Tc about 0.5 K) was suppressed with magnetic fields perpendicular and parallel to the layers. The attached evidence.txt gives the evidence (facts E1–E4 from Cao et al., Nature 556, 43 (2018); numbers as reported in the paper). Estimate the in-plane critical field that orbital (Ginzburg-Landau thin-film) pair breaking would give for this thickness and coherence length, and compare it with the measurement. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The twisted bilayer is about 0.6 nm thick.\nE2. The perpendicular critical field gives a Ginzburg-Landau coherence length of about 52 nm.\nE3. The in-plane critical field extrapolates to about 1.1 T at T = 0.\nE4. For this Tc the BCS Pauli (paramagnetic) limit, 1.85 T/K × Tc, is about 0.93 T.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Orbital in-plane critical field ≈ 0.12 T. The measured 1.1 T is set by orbital pair breaking: the in-plane field destroys superconductivity through screening currents in the bilayer."
    },
    {
     "label": "B",
     "value": "Orbital in-plane critical field ≈ 36.54 T. The orbital limit is far above the measured 1.1 T, which lies close to the Pauli limit: in-plane superconductivity is destroyed by Zeeman (paramagnetic) pair breaking, not by orbital currents."
    },
    {
     "label": "C",
     "value": "Orbital in-plane critical field ≈ 36.54 T. The measured 1.1 T is set by orbital pair breaking: the in-plane field destroys superconductivity through screening currents in the bilayer."
    },
    {
     "label": "D",
     "value": "Orbital in-plane critical field ≈ 0.12 T. The orbital limit is far above the measured 1.1 T, which lies close to the Pauli limit: in-plane superconductivity is destroyed by Zeeman (paramagnetic) pair breaking, not by orbital currents."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-KER-STRAIN",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "STM topographs of twisted bilayer graphene near the magic angle give the moiré wavelength along the three principal directions of the moiré lattice. The graphene lattice constant is a = 0.246 nm; an unstrained twist θ gives a single moiré period λ = a / (2 sin(θ/2)). The attached evidence.txt gives the evidence (facts E1–E3 from Kerelsky et al., Nature 572, 95 (2019); numbers as reported in the paper). A strain-unaware analysis treats the triangle formed by the three wavelengths as an equilateral triangle of the same area. Find the twist angle this gives and decide what the unequal wavelengths mean. (a = 0.246 nm.) Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. In one sample the three moiré wavelengths are 13.72 nm, 12.70 nm and 10.18 nm.\nE2. The hBN substrate was deliberately misaligned by a large angle, and no second moiré pattern from it is seen.\nE3. Transport measurements infer the twist angle from the area of the moiré unit cell, without access to local strain.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Equal-area twist angle ≈ 1.18°. The three directions belong to regions with three different twist angles; each wavelength gives its own local twist directly."
    },
    {
     "label": "B",
     "value": "Equal-area twist angle ≈ 1.03°. The wavelengths differ because one layer carries a small uniaxial heterostrain (about 0.7 %; a full fit gives θ ≈ 1.15°); the equal-area estimate stays close to the true twist, whereas any single direction would misjudge it."
    },
    {
     "label": "C",
     "value": "Equal-area twist angle ≈ 1.18°. The wavelengths differ because one layer carries a small uniaxial heterostrain (about 0.7 %; a full fit gives θ ≈ 1.15°); the equal-area estimate stays close to the true twist, whereas any single direction would misjudge it."
    },
    {
     "label": "D",
     "value": "Equal-area twist angle ≈ 1.03°. The three directions belong to regions with three different twist angles; each wavelength gives its own local twist directly."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-SCH-FLUX",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Scanning nitrogen-vacancy magnetometry images Abrikosov vortices in a BSCCO-2212 single crystal at 71 K after field cooling in a perpendicular field. The attached evidence.txt gives the evidence (facts E1–E3 from Schäfermeier et al., arXiv:2602.13060; numbers as reported in the paper). How many vortices should the field of view contain if each vortex carries one flux quantum, and what does the count show? Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The sample was field-cooled at Bz = 3.7 mT.\nE2. The scanned field of view is 4 µm × 4 µm, and 26 vortices are counted in it.\nE3. The 2D Fourier transform of the map shows six sharp first-order peaks (a triangular lattice) on a ring of radius 1.35 µm^-1.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Expected number of vortices ≈ 28.6. The 26 counted vortices are about twice this expectation, so each vortex must carry only half a flux quantum."
    },
    {
     "label": "B",
     "value": "Expected number of vortices ≈ 14.3. The 26 counted vortices agree with this expectation to about 10 %: each vortex carries a single superconducting flux quantum and they form a triangular Abrikosov lattice."
    },
    {
     "label": "C",
     "value": "Expected number of vortices ≈ 14.3. The 26 counted vortices are about twice this expectation, so each vortex must carry only half a flux quantum."
    },
    {
     "label": "D",
     "value": "Expected number of vortices ≈ 28.6. The 26 counted vortices agree with this expectation to about 10 %: each vortex carries a single superconducting flux quantum and they form a triangular Abrikosov lattice."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-SHA-BAND",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "A right-handed cholesteric liquid crystal is made by doping the nematic E44 with 2.62 wt% of the chiral dopant R5011 and is studied in a planar cell between 20 and 90 °C. The attached evidence.txt gives the evidence (facts E1–E4 from Shaban et al., Materials 17, 5080 (2024); numbers as reported in the paper). Compute the expected width of the reflection band at 20 °C from the pitch and the indices, and choose the interpretation of the temperature dependence. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The helical twisting power of R5011 in E44 is 107.5 µm^-1, and the dopant concentration is 2.62 wt%.\nE2. The refractive indices of E44 at 589 nm are ne = 1.7904 and no = 1.5484.\nE3. At 20 °C the measured reflection band is centred at 585 nm and is 85.6 nm wide.\nE4. On heating to 90 °C the band width falls to 54.7 nm; the band centre moves only from 586.2 nm to 582.6 nm between 20 and 60 °C, then rises to about 603 nm by 90 °C.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Expected band width ≈ 85.9 nm. Up to about 60 °C the pitch stays essentially constant and the band narrows because the birefringence falls as orientational order decreases; above about 60 °C the red shift of the centre shows the pitch lengthening (weaker twisting)."
    },
    {
     "label": "B",
     "value": "Expected band width ≈ 592.7 nm. Up to about 60 °C the pitch stays essentially constant and the band narrows because the birefringence falls as orientational order decreases; above about 60 °C the red shift of the centre shows the pitch lengthening (weaker twisting)."
    },
    {
     "label": "C",
     "value": "Expected band width ≈ 592.7 nm. The band narrows because the helical pitch shortens on heating, and the late red shift comes from a rise of the average refractive index."
    },
    {
     "label": "D",
     "value": "Expected band width ≈ 85.9 nm. The band narrows because the helical pitch shortens on heating, and the late red shift comes from a rise of the average refractive index."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-DIN-HTP",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Two reactive chiral dopants built on isosorbide, LRCD (from L-isosorbide) and RRCD (from D-isosorbide), were each mixed into the same reactive nematic host and photopolymerised as planar cholesteric coatings. Take the average refractive index of the host as 1.6. The attached evidence.txt gives the evidence (facts E1–E4 from Dinc et al., Org. Chem. Front. (2024); numbers as reported in the paper). From the two coatings, compute the ratio of the apparent helical twisting powers, |HTP(LRCD)| / HTP(RRCD), and choose the explanation. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The LRCD coating (5.6 wt% dopant) reflects left-handed circularly polarised light in a band at 670 nm.\nE2. The RRCD coating (4.7 wt% dopant) reflects right-handed circularly polarised light in a band at 603 nm.\nE3. LRCD and RRCD give identical 1H and 13C NMR spectra and the same mass ([M+Na]+ at m/z 957.2).\nE4. Optical rotation gives LRCD an enantiomeric excess of about 81 % relative to RRCD; the L-sorbitol starting material had an enantiomeric excess of about 76 ± 16 % relative to D-sorbitol.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.90. LRCD twists the host only about three quarters as strongly; as enantiomers the two have the same intrinsic |HTP|, so the deficit reflects the lower enantiomeric excess of LRCD, inherited from L-sorbitol that contains some D-sorbitol."
    },
    {
     "label": "B",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.76. LRCD twists the host only about three quarters as strongly; as enantiomers the two have the same intrinsic |HTP|, so the deficit reflects the lower enantiomeric excess of LRCD, inherited from L-sorbitol that contains some D-sorbitol."
    },
    {
     "label": "C",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.90. LRCD and RRCD are not true mirror images but diastereomers, so their intrinsic twisting powers differ; enantiomeric purity plays no role."
    },
    {
     "label": "D",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.76. LRCD and RRCD are not true mirror images but diastereomers, so their intrinsic twisting powers differ; enantiomeric purity plays no role."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-ALT-OHSHIFT",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Two computed conformers of 3-hydroxy-2-butenamide are attached: conformer_TWO.xyz and conformer_FIVE.xyz (rows counted from 1 after the two XYZ header lines). The attached evidence.txt and conformer_TWO.xyz and conformer_FIVE.xyz give the evidence (facts E1–E3 from Altun, Bleda & Trindle, Molecules 26, 2623 (2021); numbers as reported in the paper). Compute the donor-acceptor distance in TWO minus that in FIVE (in Å), and choose the conclusion about the two hydrogen bonds. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. In TWO the hydroxyl O (row 6) donates its H (row 5) to the amide carbonyl O (row 14).\nE2. In FIVE the hydroxyl O (row 5) donates its H (row 4) to the amide N (row 11).\nE3. Computed harmonic O-H stretching frequencies (MP2/cc-pVTZ): TWO 3087 cm^-1 and FIVE 3571 cm^-1; O-H groups that take part in no hydrogen bond in related conformers lie at 3836-3850 cm^-1.\n"
    },
    {
     "name": "conformer_TWO.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1679 -0.0705 0.0003\nC -0.0054 -0.7575 -0.0073\nC -1.2628 -0.0311 -0.0040\nH 0.0109 -1.8351 -0.0197\nH 0.2587 1.5453 0.0028\nO 1.2197 1.2584 0.0073\nC 2.5078 -0.7195 0.0012\nH 3.0645 -0.4049 0.8827\nH 3.0700 -0.3954 -0.8734\nH 2.4225 -1.8019 -0.0050\nN -2.4053 -0.7683 -0.0315\nH -2.3779 -1.7539 0.1480\nH -3.2714 -0.2776 0.1026\nO -1.3180 1.2134 -0.0022\n"
    },
    {
     "name": "conformer_FIVE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nCoordinates in angstrom; atoms numbered from 1.\nC 1.1439 -0.0462 -0.0029\nC 0.0228 -0.7783 0.1943\nH 0.1266 -1.8386 0.3559\nH 0.2435 1.5542 -0.4421\nO 1.1690 1.2652 -0.3243\nC 2.5174 -0.6156 0.0806\nH 3.1008 -0.0582 0.8123\nH 3.0162 -0.5119 -0.8820\nH 2.4905 -1.6631 0.3629\nO -2.2874 -0.9775 -0.3051\nN -1.5009 1.1067 0.2421\nH -2.4756 1.3703 0.1846\nH -1.0735 1.4338 1.0988\nC -1.3467 -0.2825 0.0363\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "d(TWO) - d(FIVE) ≈ -0.315 Å. TWO has the shorter donor-acceptor contact and an O-H red shift of about 750 cm^-1 against about 265 cm^-1 for FIVE: the OH···O= bond in TWO is the stronger hydrogen bond."
    },
    {
     "label": "B",
     "value": "d(TWO) - d(FIVE) ≈ -0.196 Å. FIVE has the stronger hydrogen bond, because nitrogen is a better hydrogen-bond acceptor than a carbonyl oxygen; the frequency shifts do not compare bond strengths."
    },
    {
     "label": "C",
     "value": "d(TWO) - d(FIVE) ≈ -0.196 Å. TWO has the shorter donor-acceptor contact and an O-H red shift of about 750 cm^-1 against about 265 cm^-1 for FIVE: the OH···O= bond in TWO is the stronger hydrogen bond."
    },
    {
     "label": "D",
     "value": "d(TWO) - d(FIVE) ≈ -0.315 Å. FIVE has the stronger hydrogen bond, because nitrogen is a better hydrogen-bond acceptor than a carbonyl oxygen; the frequency shifts do not compare bond strengths."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-ALT-NHO",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Two computed conformers of acetoacetamide and its enol tautomer are attached: conformer_ONE.xyz and conformer_ELEVEN.xyz (rows counted from 1 after the two XYZ header lines). Both contain an NH···O= hydrogen bond. The attached evidence.txt and conformer_ONE.xyz and conformer_ELEVEN.xyz give the evidence (facts E1–E4 from Altun, Bleda & Trindle, Molecules 26, 2623 (2021); numbers as reported in the paper). Compute the N···O distance in ONE minus that in ELEVEN (in Å), and choose the conclusion about the two NH···O= bonds. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. In ONE the amide N (row 9) donates its H (row 11) to the ketone carbonyl O (row 8).\nE2. In ELEVEN the amino N (row 3) donates its H (row 5) to the carbonyl O (row 13).\nE3. Splitting between the antisymmetric and symmetric NH2 stretching frequencies (MP2/cc-pVTZ): ONE 159 cm^-1, ELEVEN 308 cm^-1; NH2 groups that take part in no hydrogen bond show about 120 cm^-1.\nE4. At the H···O bond critical point the energy density H = G + V is positive (mainly electrostatic) for ONE and negative (partly covalent) for ELEVEN.\n"
    },
    {
     "name": "conformer_ONE.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nAltun, Bleda & Trindle (2021) SI, system ONE; coordinates in angstrom as printed; atoms numbered from 1.\nC -1.3491 -0.2156 0.0178\nC 1.2093 0.1308 0.0721\nC 2.4072 -0.7002 -0.2894\nH 3.2361 -0.0614 -0.5757\nH 2.1450 -1.3669 -1.1116\nH 2.6884 -1.3315 0.5535\nO -2.1703 -1.0534 -0.3189\nO 1.2146 1.3482 -0.0281\nN -1.5658 1.1235 -0.0146\nH -2.3966 1.4356 -0.4869\nH -0.7652 1.7336 0.0471\nC 0.0030 -0.6286 0.5915\nH 0.1067 -1.6971 0.4301\nH -0.0301 -0.4538 1.6704\n"
    },
    {
     "name": "conformer_ELEVEN.xyz",
     "format": "xyz",
     "unit": "angstrom",
     "text": "14\nAltun, Bleda & Trindle (2021) SI, system ELEVEN; coordinates in angstrom as printed; atoms numbered from 1.\nC 1.2044 -0.1691 -0.0138\nO 2.2955 -0.9635 0.0679\nN 1.4245 1.1694 -0.0791\nH 2.1892 1.5226 0.4739\nH 0.5403 1.6817 -0.0192\nC -0.0345 -0.7385 -0.0591\nH -0.0987 -1.8126 -0.1107\nC -1.2305 0.0636 -0.0067\nC -2.5378 -0.6913 0.0282\nH -3.3638 0.0118 0.0616\nH -2.6270 -1.3227 -0.8554\nH -2.5720 -1.3437 0.9002\nO -1.2343 1.3056 0.0102\nH 3.0614 -0.4489 -0.2133\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.204 Å. ELEVEN has the stronger NH···O= bond: its N···O contact is shorter, its NH2 stretches split about twice as much, and its critical point shows partial covalent character; the same bond type differs in strength with geometry."
    },
    {
     "label": "B",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.204 Å. The two bonds are equally strong because they are the same type (NH···O=); the differences in distance and spectra are incidental."
    },
    {
     "label": "C",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.126 Å. The two bonds are equally strong because they are the same type (NH···O=); the differences in distance and spectra are incidental."
    },
    {
     "label": "D",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.126 Å. ELEVEN has the stronger NH···O= bond: its N···O contact is shorter, its NH2 stretches split about twice as much, and its critical point shows partial covalent character; the same bond type differs in strength with geometry."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-KER-NEMATIC",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Scanning tunnelling spectroscopy maps the local density of states (LDOS) over one moiré cell of twisted bilayer graphene at 1.10°, at several gate dopings. The attached evidence.txt gives the evidence (facts E1–E5 from Kerelsky et al., Nature 572, 95 (2019); numbers as reported in the paper). Which explanation of the C3 symmetry breaking is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The samples carry a small uniaxial heterostrain (0.1-0.7 % across samples).\nE2. LDOS maps at all energies between the two van Hove peaks break three-fold (C3) rotational symmetry to some extent.\nE3. At each doping (about -1.2 × 10^12, 0 and +1.2 × 10^12 cm^-2) the strongest C3 breaking appears in the map taken at the Fermi level, so the most anisotropic energy moves with the gate.\nE4. When the Fermi level sits on the conduction van Hove peak, where a 7.5 meV correlation gap opens, the maps around the gap break C3 more strongly than the same peak does at neutrality.\nE5. The samples are not uniform over tens of moiré cells, so Fourier analysis of translational order was not possible.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "An asymmetric STM tip: the anisotropy is an imaging artefact that does not depend on the electronic states."
    },
    {
     "label": "B",
     "value": "Electronic nematicity driven by the states at the Fermi level: strain only selects a direction, while the size of the C3 breaking follows the Fermi level and grows in the correlated state."
    },
    {
     "label": "C",
     "value": "Heterostrain alone: a fixed lattice distortion breaks C3 by the same amount at every energy and doping."
    },
    {
     "label": "D",
     "value": "A charge density wave that breaks translational symmetry has been established in these maps, and it causes the C3 breaking."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-COT-BEND",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Cryo-Lorentz TEM images of flux vortices in a 300 nm thick MgB2 lamella (pre-tilted by 45°) at 5 K, for fields between 50.8 and 188.7 G. The attached evidence.txt gives the evidence (facts E1–E4 from Cottet et al., arXiv:1401.4062; numbers as reported in the paper). Which explanation of the dark bands is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Dark bands cross the images; inside them the vortex contrast is too weak to locate vortices.\nE2. Tilting the specimen slightly, or changing the field (which changes the imaging condition), changes the size and position of the dark bands.\nE3. The average vortex spacings measured in regions separated by the bands cross as the field rises, showing that vortices move from one region to another.\nE4. Between the bands the vortex arrangement becomes more triangular as the field rises (average six-fold order parameter 0.73 at 117.3 G).\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Ferromagnetic domains of a magnetic impurity phase in the crystal."
    },
    {
     "label": "B",
     "value": "Vortex-free Meissner domains of an intermediate (type-1.5) superconducting state."
    },
    {
     "label": "C",
     "value": "Bend contours: diffraction contrast where local bending of the thin crystal meets the Bragg condition; they hide vortices but do not change the vortex lattice."
    },
    {
     "label": "D",
     "value": "Lines of strong pinning centres that hold the vortices in place."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-SHA-IONS",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "The nematic E44 was doped with the chiral dopant R5011 (right-handed) or with its enantiomer S5011 (left-handed), and the mobile ions were measured by low-frequency dielectric spectroscopy. The attached evidence.txt gives the evidence (facts E1–E5 from Shaban et al., Materials 17, 5080 (2024); numbers as reported in the paper). Which explanation of the extra ions is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Adding R5011 (0 to 4 wt%) raises the mobile-ion density from 1.7 to 2.9 × 10^13 cm^-3, and the dielectric loss at 1 kHz grows linearly with R5011 content.\nE2. Adding S5011 (0 to 4 wt%) leaves the ion density at 1.6-1.9 × 10^13 cm^-3; the spectra overlap those of pure E44.\nE3. 1:1 mixtures of R5011 and S5011 (no net chirality) at 1, 2 and 4 wt% in total give ion densities and diffusivities close to those of R5011-only samples at 0.5, 1 and 2 wt%.\nE4. Antiparallel (6 µm) and 90°-twisted (5 µm) cells with the same alignment layers and electrodes give the same ionic behaviour.\nE5. The R- and S-doped mixtures (2.62 and 2.57 wt%) have nearly the same helical pitch (0.355 and 0.362 µm) and nearly identical reflection bands.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Any chiral dopant dissociates into ions in E44, whichever its handedness."
    },
    {
     "label": "B",
     "value": "The right-handed helical order itself generates or traps the ions."
    },
    {
     "label": "C",
     "value": "The ions come from the cell (alignment layers and electrodes), and the cell geometry controls them."
    },
    {
     "label": "D",
     "value": "Impurity ions carried by this batch of R5011 (from manufacture or later contamination or degradation), unrelated to its handedness."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-ALT-THREE",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Conformer THREE of 3-hydroxy-2-butenamide is the enol in which the hydroxyl H has been rotated away, so that the hydroxyl O and the amide carbonyl O face each other without a hydrogen between them. The attached evidence.txt gives the evidence (facts E1–E4 from Altun, Bleda & Trindle, Molecules 26, 2623 (2021); numbers as reported in the paper). Which interpretation of the O···O contact in THREE is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. QTAIM finds a bond path between the two oxygen atoms, with a bond critical point of appreciable density and a positive Laplacian.\nE2. The non-covalent-interaction (reduced density gradient) isosurface between the two oxygens is green, i.e. repulsive.\nE3. Its O-H stretching frequency is 3836 cm^-1, like O-H groups that take part in no hydrogen bond (3842 and 3850 cm^-1); the strongly hydrogen-bonded conformer TWO has 3087 cm^-1.\nE4. Its C-C=C bend, used as a surrogate for the ring-closing stretch, is the lowest of all conformers (178 cm^-1, against 242-247 cm^-1 in hydrogen-bonded ones).\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "No hydrogen bond: the O···O contact is repulsive, and a bond path with a critical point is not enough on its own to establish a hydrogen bond."
    },
    {
     "label": "B",
     "value": "A strong hydrogen bond, since the density at the critical point is appreciable."
    },
    {
     "label": "C",
     "value": "A partly covalent O-O interaction."
    },
    {
     "label": "D",
     "value": "A weak O-H···O hydrogen bond, proved by the bond path and its critical point."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-CAO-POCKETS",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Shubnikov-de Haas oscillations of a magic-angle twisted bilayer graphene (MA-TBG) device are mapped against carrier density n and magnetic field on the hole side; ns is the density that fills one superlattice band (4 electrons per moiré cell). The attached evidence.txt gives the evidence (facts E1–E5 from Cao et al., Nature 556, 43 (2018); numbers as reported in the paper). Which explanation of the extra Landau fan is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The Landau fans that start at charge neutrality and at -ns have filling factors -4, -8, -12, ..., as expected from the four-fold spin and valley degeneracy of the single-particle bands.\nE2. An extra fan starts at the half-filling insulating state -ns/2, with filling factors -2, -4, -6, ...; it sits directly above the superconducting dome.\nE3. This extra fan is already visible at about 1 T.\nE4. From the oscillation frequency, the number of degenerate Fermi pockets is M = 4 near charge neutrality and beyond the superlattice gap, but M = 2 for the oscillations that start near the half-filling state; their area follows |n| - ns/2 rather than |n|.\nE5. The same Landau-level sequence is seen in two other MA-TBG devices.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "A doubled unit cell from strain or a charge density wave, which halves the filling factors of the ordinary single-particle bands."
    },
    {
     "label": "B",
     "value": "Small Fermi pockets of quasiparticles counted from the half-filling correlated insulator, with half the usual degeneracy; the carriers above the superconducting dome are only |n| - ns/2."
    },
    {
     "label": "C",
     "value": "Fractional Landau fans of the Hofstadter butterfly of the moiré superlattice."
    },
    {
     "label": "D",
     "value": "The ordinary single-particle Fermi surface of all |n| carriers, with the usual four-fold degeneracy."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-KER-BANDWIDTH",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Scanning tunnelling spectroscopy on the AA sites of twisted bilayer graphene measures the two van Hove singularity (vHs) peaks of the flat bands at twist angles from 3.48° down to 0.79°. The attached evidence.txt gives the evidence (facts E1–E4 from Kerelsky et al., Nature 572, 95 (2019); numbers as reported in the paper). Which explanation of why correlated states appear near 1.1° is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The separation between the two vHs peaks falls steadily as the twist angle decreases: it is still about 55 meV at 1.10°, and the peaks have nearly merged (13 meV) at 0.79°.\nE2. The half-width of each vHs peak is smallest near 1.10°; at 0.79° the peaks are closer together but wider.\nE3. Superconductivity and correlated insulators are seen in transport at about 1.1°.\nE4. A second near-magic-angle sample with a different heterostrain (0.6 %) shows a similar vHs splitting, and a tight-binding model with the experimental Fermi velocity reproduces the measured splittings.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "The 55 meV vHs splitting at 1.1° is an artefact of heterostrain and does not reflect the band structure."
    },
    {
     "label": "B",
     "value": "Phonon-mediated pairing, so correlated states follow the largest density of states, which occurs where the peaks merge (about 0.8°)."
    },
    {
     "label": "C",
     "value": "The bandwidth of each individual vHs is smallest near 1.1°, so the ratio of Coulomb repulsion to bandwidth (U/t) is largest there, favouring electronic rather than phonon-driven pairing."
    },
    {
     "label": "D",
     "value": "The two vHs peaks merge into a single density-of-states maximum at the superconducting angle."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-KER-GAP",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Scanning tunnelling spectra on the AA sites of twisted bilayer graphene at 1.10° and 1.15° are taken while a back gate changes the carrier density. The attached evidence.txt gives the evidence (facts E1–E4 from Kerelsky et al., Nature 572, 95 (2019); numbers as reported in the paper). Which interpretation of the 7.5 meV gap is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. A gap of up to 7.5 meV (peak to peak) opens in the conduction vHs only when that peak reaches the Fermi level, which happens near half filling of the conduction moiré band (about 1.4 × 10^12 cm^-2); at other dopings the peak is not split.\nE2. At charge neutrality both vHs peaks are present and unsplit.\nE3. The gap is significantly larger than the activation energy of the resistance near the same filling in transport.\nE4. Tip-induced band bending was seen in earlier STM work only at large twist angles, where the density of states is small; extrapolated to these small angles it is negligible.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "A single-particle band gap of the moiré bands, present whatever the filling."
    },
    {
     "label": "B",
     "value": "The same gap that transport measures, with the same size, so transport fully captures it."
    },
    {
     "label": "C",
     "value": "An artefact of band bending induced by the STM tip."
    },
    {
     "label": "D",
     "value": "A many-body (correlation) gap: it opens only when the flat-band vHs is at the Fermi level, and it is the spectroscopic counterpart of the half-filling insulator, smaller in transport because of disorder averaging."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-COT-LATTICE",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Cryo-Lorentz TEM images flux vortices in a focused-ion-beam lamella of single-crystal MgB2 at 5 K for fields from 50.8 to 188.7 G; earlier surface-sensitive studies (Bitter decoration) had reported stripe and gossamer-like vortex patterns and proposed an unconventional \"type-1.5\" state. The attached evidence.txt gives the evidence (facts E1–E4 from Cottet et al., arXiv:1401.4062; numbers as reported in the paper). Which conclusion about vortex matter in MgB2 is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. No stripe or gossamer-like vortex patterns are seen at any field.\nE2. The six-fold bond-orientational order parameter grows with field; at 117.3 G it averages 0.73 and reaches 0.91 locally (1 = perfect triangular lattice).\nE3. The nearest-neighbour interaction energy computed from the measured spacings is lower for a triangular than for a square arrangement over the whole field range.\nE4. Distorted arrangements and pinned vortices appear only close to the sample edge; elsewhere vortices move freely between regions.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "MgB2 behaves as a conventional type-II superconductor that tends to a triangular Abrikosov lattice; the earlier stripe patterns more likely came from imperfect surfaces."
    },
    {
     "label": "B",
     "value": "The vortices prefer a square lattice, which is the low-energy arrangement in MgB2."
    },
    {
     "label": "C",
     "value": "MgB2 is a \"type-1.5\" superconductor whose vortices cluster into stripes and gossamer patterns at low field."
    },
    {
     "label": "D",
     "value": "Strong pinning throughout the crystal freezes a disordered vortex glass everywhere."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-ALT-STABILITY",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Eleven computed isomers and conformers of acetoacetamide and its enol tautomer (labelled ONE to ELEVEN) differ in their intramolecular hydrogen bonds. The attached evidence.txt gives the evidence (facts E1–E2 from Altun, Bleda & Trindle, Molecules 26, 2623 (2021); numbers as reported in the paper). Which statement about hydrogen bonding and the relative stability of these species is consistent with both facts?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Relative electronic energies (kJ/mol, extrapolated to the complete-basis limit from HF, MP2 and CCSD): with OH···O, OH···N or NH···O bonds, TWO 0, ONE 4.0, FIVE +38, FOUR +42, ELEVEN +48; with only CH···O or CH···N contacts, SEVEN +38, SIX +43, TEN +61, NINE +91; with no hydrogen bond, THREE +62, EIGHT +101.\nE2. Ranked by local stretching force constant, the hydrogen bonds are TWO > ELEVEN > FIVE (all above 0.2 mdyn/Å), then ONE, FOUR and SIX, with the CH···N and CH···OH contacts weakest.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Species without any hydrogen bond are always the least stable ones."
    },
    {
     "label": "B",
     "value": "Relative stability is a property of the whole molecule and is not explained by the strength of the local hydrogen bond alone."
    },
    {
     "label": "C",
     "value": "The stronger the local hydrogen bond, the lower the energy, so the energy order follows the hydrogen-bond ranking."
    },
    {
     "label": "D",
     "value": "CH···O and CH···N contacts contribute nothing, so species having only them are as unstable as species with no hydrogen bond."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-FOO-LAYERS",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Colloidal crystals of 266 nm SiO2 spheres are grown on glass by vertical lifting deposition (convective assembly at the meniscus) from an ethanol suspension, and their reflectance is measured at 30°. The attached evidence.txt gives the evidence (facts E1–E4 from Fookes et al., Sensors 23, 1433 (2023); numbers as reported in the paper). Using the material-balance (Dimitrov-Nagayama) model of convective assembly, estimate the ratio of the numbers of deposited particle layers, k(0.28 µm/s) / k(1.66 µm/s), for the same suspension, and explain the change in the reflectance peak. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. With the same 3 % suspension, slides were lifted at 0.28 µm/s and at 1.66 µm/s; all other conditions (meniscus, evaporation, particles) are the same.\nE2. Both deposits show their reflectance peak near 540 nm, close to the 547 nm expected for a close-packed FCC crystal of these spheres.\nE3. At 1.66 µm/s the peak is broad (FWHM 167 nm) and weak (12 %); at 0.28 µm/s it is sharper (FWHM 66 nm) and stronger (66 %).\nE4. Electron micrographs show a non-uniform monolayer at intermediate speed and low concentration, but a close-packed multilayer crystal at 0.28 µm/s.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 5.93. Slower lifting deposits about six times more particle layers from the same suspension; with the lattice unchanged, the thicker crystal gives the taller, narrower reflection peak."
    },
    {
     "label": "B",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 0.17. Slower lifting packs the spheres more tightly and changes the lattice spacing, which sharpens the peak; the number of layers stays the same."
    },
    {
     "label": "C",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 5.93. Slower lifting packs the spheres more tightly and changes the lattice spacing, which sharpens the peak; the number of layers stays the same."
    },
    {
     "label": "D",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 0.17. Slower lifting deposits about six times more particle layers from the same suspension; with the lattice unchanged, the thicker crystal gives the taller, narrower reflection peak."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-MUH-SKYRMION",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Small-angle neutron scattering is measured on single crystals of the cubic chiral magnet MnSi (Tc = 29.5 K), with the neutron beam parallel to the applied magnetic field. The attached evidence.txt gives the evidence (facts E1–E5 from Mühlbauer et al., Science 323, 915 (2009); numbers as reported in the paper). Which interpretation of the A phase is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. In zero field MnSi orders as a helix of period about 190 A along the cubic <111> directions; the atomic lattice constant is 4.56 A.\nE2. In the \"A phase\", just below Tc and in a field of about half the field Bc2 that fully polarizes the spins, six Bragg spots appear on a regular hexagon.\nE3. With the sample rotated into many different orientations (the field always along the beam), the six spots always form a regular hexagon in the plane perpendicular to the field, whatever the orientation of the crystal axes.\nE4. At lower temperature in the same field range (the conical phase), the spots lie along the field direction instead.\nE5. Rocking scans give a magnetic mosaicity of about 1.75 degrees in the A phase, half the 3.5 degrees of the helical state, corresponding to a correlation length of at least 5500 A.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "The conical phase, with the helix wave vector along the field."
    },
    {
     "label": "B",
     "value": "A single helix with its wave vector perpendicular to the field (the earlier interpretation), giving one pair of spots per domain."
    },
    {
     "label": "C",
     "value": "A lattice of skyrmion lines: three helices at 120 degrees to each other in the plane perpendicular to the field, a long-range-ordered spin crystal oriented by the field and decoupled from the atomic lattice."
    },
    {
     "label": "D",
     "value": "A multi-Q magnetic structure locked to the atomic lattice, as in the rare-earth magnets."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-FIL-RBCS",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "Thin films of the all-inorganic perovskites RbxCs1-xPbI3 are made by mixing the small cation Rb+ into CsPbI3, and their optical absorption is measured. The attached evidence.txt gives the evidence (facts E1–E4 from Filip et al., Nat. Commun. 5, 5757 (2014); numbers as reported in the paper). Using E = hc/lambda with hc = 1239.84 eV nm, compute the change of the optical gap from x = 0 to x = 0.2 (in eV) and choose the interpretation. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. On annealing, CsPbI3 films turn into a dark phase with a band gap of 1.73 eV, identified as the three-dimensional perovskite.\nE2. The absorption edge moves continuously from 720 nm at x = 0 to 690 nm at x = 0.2.\nE3. In the structures optimized by density functional theory, the Pb-I-Pb bond angles approach 180 degrees as the steric radius of the A-site cation grows (about 18 degrees per angstrom), and Rb+ is smaller than Cs+.\nE4. The electronic states of the A-site cation lie several eV away from the band edges.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Change of the optical gap ~ 0.075 eV. The shift comes from the electronic states of Rb+ itself, which form a new band edge; the tilt of the octahedra plays no part."
    },
    {
     "label": "B",
     "value": "Change of the optical gap ~ 0.075 eV. The gap widens: the smaller Rb+ lets the PbI6 octahedra tilt further from the straight Pb-I-Pb geometry, and a larger tilt raises the gap (the calculations had predicted a 40 nm blue shift)."
    },
    {
     "label": "C",
     "value": "Change of the optical gap ~ -0.075 eV. The gap widens: the smaller Rb+ lets the PbI6 octahedra tilt further from the straight Pb-I-Pb geometry, and a larger tilt raises the gap (the calculations had predicted a 40 nm blue shift)."
    },
    {
     "label": "D",
     "value": "Change of the optical gap ~ -0.075 eV. The shift comes from the electronic states of Rb+ itself, which form a new band edge; the tilt of the octahedra plays no part."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-FIL-ANGLE",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "First-principles calculations map the band gap of lead-iodide perovskites APbI3 (corner-sharing PbI6 octahedra with a cation A in the cavities) across many real and hypothetical cations. The attached evidence.txt gives the evidence (facts E1–E4 from Filip et al., Nat. Commun. 5, 5757 (2014); numbers as reported in the paper). Which explanation of how the cation tunes the band gap is consistent with all of these facts?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Band structures computed with and without the cation agree near the gap; the cation states lie several eV away from the band edges.\nE2. In the measured structures of methylammonium lead iodide the Pb-I bond lengths deviate by at most 0.1 per cent from their average of 3.18 A, and the diagonals of each octahedron are within 4 degrees of perpendicular.\nE3. A model built from perfectly regular corner-sharing octahedra with no cation at all reproduces a gap that varies by up to about 1 eV with the Pb-I-Pb bond angles, following the largest of those angles.\nE4. At fixed bond angles, the spread of Pb-I bond lengths among the realistic structures changes the gap by about 0.2 eV (roughly 3 eV per angstrom).\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Distortion of the PbI6 octahedra themselves dominates the gap."
    },
    {
     "label": "B",
     "value": "Changes of the Pb-I bond length dominate the gap."
    },
    {
     "label": "C",
     "value": "The orbitals of the cation form the band edges and set the gap directly."
    },
    {
     "label": "D",
     "value": "The gap is set by the largest Pb-I-Pb bond angle, that is by the octahedral tilt; the cation acts only through its steric size, by controlling that tilt."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-JIA-CHANNEL",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "The cryo-EM structure of the anthrax protective antigen (PA) pore at 2.9 A resolution shows the channel through which the enzymes lethal factor and edema factor cross the endosomal membrane. The attached evidence.txt gives the evidence (facts E1–E4 from Jiang et al., Nature 521, 545 (2015); numbers as reported in the paper). Which description of how a substrate protein passes through this channel is consistent with all of these facts?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. The mouth of the channel is 30 A wide at its opening and narrows to about 20 A inside; it can take secondary-structure elements but not folded domains such as the N-terminal domain of lethal factor.\nE2. Below the mouth, a ring of seven Phe427 side chains (the phi clamp) leaves a solvent-excluded hole of only 6 A, the narrowest point of the whole channel.\nE3. Below the clamp, the throat (about 18 A) and the tube formed by the 14-stranded beta barrel (inner diameter 12 to 18 A) are wide enough to hold an alpha helix.\nE4. Apart from the mouth and the lower end of the tube the channel wall has no openings, and mutating even one of the seven Phe427 residues severely reduces translocation.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "The substrate has to be fully unfolded to pass the phi clamp, and may form an alpha helix again in the wider throat and tube below it."
    },
    {
     "label": "B",
     "value": "Lethal factor passes through as an intact folded domain."
    },
    {
     "label": "C",
     "value": "The substrate passes the phi clamp as preformed alpha helices."
    },
    {
     "label": "D",
     "value": "The substrate has to stay fully extended along the whole channel, because no part of it is wide enough for a helix."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-JIA-SEQUENCE",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "Anthrax protective antigen (PA) heptamers convert at endosomal low pH from a soluble prepore into a membrane-spanning pore. Cryo-EM maps of the pore are compared with crystal structures of prepores. The attached evidence.txt gives the evidence (facts E1–E5 from Jiang et al., Nature 521, 545 (2015); numbers as reported in the paper). Which account of the low-pH conversion is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. A subset of 21,632 particles gives a 3.6 A map that is in the pore state, with the domains 2c converged and the phi clamp correctly assembled, but without the 14-stranded beta barrel.\nE2. The 2beta10-2beta11 loop is in the pore conformation in one octameric prepore crystal structure and in the prepore conformation in another, while the rest of the two structures is largely unchanged.\nE3. Mutating the conserved Asn422 or Asp425 in that loop abolishes the low-pH conversion from prepore to pore.\nE4. The loop contains no histidine, the residue whose pKa of about 6 falls in the pH range where the conversion happens.\nE5. Mutations near the domain 2 / domain 4 interface, or deletion of the 2beta2-2beta3 loop, shift the pH threshold of the conversion but do not abolish its pH sensitivity.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "The beta barrel forms first and pulls the domains together, which then closes the phi clamp."
    },
    {
     "label": "B",
     "value": "The 2beta10-2beta11 loop acts as the pH sensor and flips first; the domains then converge and assemble the phi clamp, and the beta barrel forms afterwards as a consequence, not as the cause."
    },
    {
     "label": "C",
     "value": "Protonation of histidine residues in the sensing loop triggers the conversion."
    },
    {
     "label": "D",
     "value": "The domain 2 / domain 4 interface is the pH sensor: breaking it is what makes the structure respond to acid."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVQ-JIA-CLAMP",
   "family": "evidence_quantity",
   "ability": "inference",
   "question": "In the anthrax protective antigen (PA) prepore the seven 2beta10-2beta11 loops of the heptamer do not touch one another; in the pore they close into an iris that forms the phi clamp. The attached evidence.txt gives the evidence (facts E1–E4 from Jiang et al., Nature 521, 545 (2015); numbers as reported in the paper). Treat the seven Phe427 residues of the prepore as the vertices of a regular polygon with the stated nearest-neighbour spacing, and compute the radius of the circle through them (in angstrom). Then choose the account of how the phi clamp forms. Choose the option in which both the value and the conclusion are correct.",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. In the prepore the 7 loops of the heptamer circumscribe a 30 A central hole, with neighbouring Phe427 side chains spaced about 14 A apart.\nE2. In the pore the same seven loops converge into an iris with a hole of only 6 A, bounded by a symmetric arrangement of the seven Phe427 residues.\nE3. The convergence comes from a 15 degree rotation of each domain 2c about its hinge, whose distal edge moves about 12 A towards the central axis of the pore.\nE4. Domains 1 and 3 are essentially unchanged between prepore and pore (C-alpha r.m.s.d. 0.54 and 0.58 A), while domain 2c changes by 6.87 A.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Radius of the Phe427 ring in the prepore ~ 16.13 Å. The phi clamp is already present in the prepore and only needs the Phe427 side chains to rotate into place; the protein backbone does not move."
    },
    {
     "label": "B",
     "value": "Radius of the Phe427 ring in the prepore ~ 14.00 Å. The ring is about 32 A across in the prepore, matching its 30 A hole, so the 6 A clamp cannot be made by side-chain rotation alone: whole domains must swing inwards, as the 15 degree rotation and 12 A displacement show."
    },
    {
     "label": "C",
     "value": "Radius of the Phe427 ring in the prepore ~ 16.13 Å. The ring is about 32 A across in the prepore, matching its 30 A hole, so the 6 A clamp cannot be made by side-chain rotation alone: whole domains must swing inwards, as the 15 degree rotation and 12 A displacement show."
    },
    {
     "label": "D",
     "value": "Radius of the Phe427 ring in the prepore ~ 14.00 Å. The phi clamp is already present in the prepore and only needs the Phe427 side chains to rotate into place; the protein backbone does not move."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-KCS-COLLAPSE",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "The potassium channel KcsA was trapped with its intracellular activation gate held open by an engineered disulfide bond, and crystallized carrying either of two mutations that change C-type inactivation: E71A, which removes it, and Y82A, which speeds it up. The attached evidence.txt gives the evidence (facts E1–E5 from Cuello et al., eLife 6, e28032 (2017); numbers as reported in the paper). Which account of deep C-type inactivation in KcsA is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Both mutants are trapped with the same activation gate opening of 22 A (measured between Thr112 alpha-carbons on diagonal subunits).\nE2. In single-channel recordings the E71A construct has a high open probability (0.8 to 0.9) and the Y82A construct a low one (0.015 to 0.04), both independent of pH.\nE3. In the E71A structure (2.25 A) the selectivity filter holds four potassium ions in the usual 1,3 and 2,4 arrangement, and its backbone differs from the closed conductive state by only 0.19 to 0.26 A r.m.s.d.\nE4. In the Y82A structure (2.4 A) the filter has lost the ions at sites 2 and 3, the Val76 carbonyl has flipped out of the axis, and the inter-subunit distance at Gly77 is reduced from 8 to 6 A.\nE5. In the inactivated structure three ordered water molecules sit in a cavity behind the filter and hydrogen bond to the flipped Val76 carbonyl; they are absent from the conductive filter.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Inactivation is the closing of the intracellular activation gate."
    },
    {
     "label": "B",
     "value": "The collapsed filter is a crystallization artefact unrelated to inactivation."
    },
    {
     "label": "C",
     "value": "Deep C-type inactivation is a collapse of the selectivity filter that happens while the activation gate stays open; a network of water molecules behind the filter stabilizes the collapsed conformation."
    },
    {
     "label": "D",
     "value": "Inactivation comes from losing the potassium ion in the central cavity below the filter."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-EVE-RAS-DOMAIN",
   "family": "evidence_elimination",
   "ability": "inference",
   "question": "The crystal structure of the beta2 adrenergic receptor bound to an agonist and to the nucleotide-free Gs heterotrimer (3.2 A) shows the alpha-helical domain of Gs-alpha swung away from its Ras-like GTPase domain, by about 127 degrees. A nanobody, Nb35, had been added to make the complex crystallize. The attached evidence.txt gives the evidence (facts E1–E5 from Rasmussen et al., Nature 477, 549 (2011); numbers as reported in the paper). Which account of the displaced alpha-helical domain is consistent with all of these observations?",
   "scope": "证据取自论文，数值与观测按原文转述（不含原文段落）；只依据所给证据与通用科学知识作答，不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "evidence.txt",
     "format": "text",
     "unit": "单位见各条",
     "text": "E1. Nb35 binds at the interface between the Gs-beta subunit and the Ras-like domain of Gs-alpha; none of its contacts on the Ras domain are residues that touch the alpha-helical domain in the nucleotide-bound structure.\nE2. Superimposing the Ras domains of the nucleotide-bound Gs-alpha structure and of the complex leaves no overlap between Nb35 and the alpha-helical domain.\nE3. Single-particle electron microscopy of the complex in detergent, without any nanobody, shows the alpha-helical domain in variable positions.\nE4. Double electron-electron resonance on a related G protein bound to light-activated rhodopsin measures distance changes of up to 20 A between the two domains.\nE5. Apyrase was used to destroy the GDP released on complex formation, since GDP or GTP analogues disrupt the high-affinity complex; deuterium exchange at the interface between the two domains increases on complex formation.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "GDP is still bound in a closed nucleotide pocket, and the apparent displacement is a modelling error."
    },
    {
     "label": "B",
     "value": "Nb35 pushed the alpha-helical domain aside, so the displacement is an artefact of the crystallization aid."
    },
    {
     "label": "C",
     "value": "The two domains stay together in solution; only the crystal lattice pulls them apart."
    },
    {
     "label": "D",
     "value": "Removing the nucleotide unlocks the two domains, so the alpha-helical domain becomes mobile; the position seen in the crystal is only one of the conformations it can adopt, selected by crystal packing."
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-CU",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of copper (Cu, fcc, COD 5000216). Treat the crystal as infinite and periodic. Around the Cu atom at fractional (0.0000, 0.0000, 0.0000), how many Cu atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；面心立方金属。",
   "inputs": [
    {
     "name": "FA-COORD-CU-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "copper (Cu, fcc, COD 5000216); cubic a = 3.61500 angstrom; 4 atoms; element x y z (fractional)\nCu 0.00000000 0.00000000 0.00000000\nCu 0.00000000 0.50000000 0.50000000\nCu 0.50000000 0.00000000 0.50000000\nCu 0.50000000 0.50000000 0.00000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6 at 3.615 Å"
    },
    {
     "label": "B",
     "value": "12 at 2.556 Å"
    },
    {
     "label": "C",
     "value": "3 at 2.556 Å"
    },
    {
     "label": "D",
     "value": "6 at 2.556 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-CU",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of copper (Cu, fcc, COD 5000216). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cu = 29). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；面心立方金属。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-CU-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "copper (Cu, fcc, COD 5000216); cubic a = 3.61500 angstrom; 4 atoms; element x y z (fractional)\nCu 0.00000000 0.00000000 0.00000000\nCu 0.00000000 0.50000000 0.50000000\nCu 0.50000000 0.00000000 0.50000000\nCu 0.50000000 0.50000000 0.00000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "24.61",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "43.32",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "50.45",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "79.47",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-FE",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of iron (alpha-Fe, bcc, COD 9000657). Treat the crystal as infinite and periodic. Around the Fe atom at fractional (0.0000, 0.0000, 0.0000), how many Fe atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；体心立方金属。",
   "inputs": [
    {
     "name": "FA-COORD-FE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "iron (alpha-Fe, bcc, COD 9000657); cubic a = 2.86600 angstrom; 2 atoms; element x y z (fractional)\nFe 0.00000000 0.00000000 0.00000000\nFe 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6 at 2.482 Å"
    },
    {
     "label": "B",
     "value": "6 at 2.866 Å"
    },
    {
     "label": "C",
     "value": "8 at 2.482 Å"
    },
    {
     "label": "D",
     "value": "1 at 2.482 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-FE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of iron (alpha-Fe, bcc, COD 9000657). Use the kinematic structure factor with atomic numbers as angle-independent weights (Fe = 26). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；体心立方金属。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-FE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "iron (alpha-Fe, bcc, COD 9000657); cubic a = 2.86600 angstrom; 2 atoms; element x y z (fractional)\nFe 0.00000000 0.00000000 0.00000000\nFe 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "22.34",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "31.18",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "44.68",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "55.49",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-MG",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of magnesium (Mg, hcp, COD 9008506). Treat the crystal as infinite and periodic. Around the Mg atom at fractional (0.3333, 0.6667, 0.2500), how many Mg atoms lie at the shortest Mg–Mg distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "六方晶胞对称展开；密排六方金属。",
   "inputs": [
    {
     "name": "FA-COORD-MG-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "magnesium (Mg, hcp, COD 9008506); cell a = 3.20927 b = 3.20927 c = 5.21033 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 2 atoms; element x y z (fractional)\nMg 0.33333333 0.66666667 0.25000000\nMg 0.66666667 0.33333333 0.75000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12 at 3.197 Å"
    },
    {
     "label": "B",
     "value": "6 at 3.209 Å"
    },
    {
     "label": "C",
     "value": "1 at 3.197 Å"
    },
    {
     "label": "D",
     "value": "6 at 3.197 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-MG",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of magnesium (Mg, hcp, COD 9008506). Use the kinematic structure factor with atomic numbers as angle-independent weights (Mg = 12). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "六方晶胞对称展开；密排六方金属。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-MG-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "magnesium (Mg, hcp, COD 9008506); cell a = 3.20927 b = 3.20927 c = 5.21033 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 2 atoms; element x y z (fractional)\nMg 0.33333333 0.66666667 0.25000000\nMg 0.66666667 0.33333333 0.75000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "16.09",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "17.00",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "27.78",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "32.18",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-ALNI",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cubic cell of aluminium nickel (AlNi, ordered B2 alloy, COD 9008802). Treat the crystal as infinite and periodic. Around the Ni atom at fractional (0.5000, 0.5000, 0.5000), how many Al atoms form the nearest shell, and at what distance? Distances are rounded to 0.001 Å.",
   "scope": "常规立方晶胞对称展开；B2 有序合金。",
   "inputs": [
    {
     "name": "FA-COORD-ALNI-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "aluminium nickel (AlNi, ordered B2 alloy, COD 9008802); cubic a = 2.88100 angstrom; 2 atoms; element x y z (fractional)\nAl 0.00000000 0.00000000 0.00000000\nNi 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "8 at 2.495 Å"
    },
    {
     "label": "B",
     "value": "1 at 2.495 Å"
    },
    {
     "label": "C",
     "value": "12 at 4.778 Å"
    },
    {
     "label": "D",
     "value": "6 at 2.881 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-ALNI",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of aluminium nickel (AlNi, ordered B2 alloy, COD 9008802). Use the kinematic structure factor with atomic numbers as angle-independent weights (Al = 13, Ni = 28). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；B2 有序合金。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-ALNI-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "aluminium nickel (AlNi, ordered B2 alloy, COD 9008802); cubic a = 2.88100 angstrom; 2 atoms; element x y z (fractional)\nAl 0.00000000 0.00000000 0.00000000\nNi 0.50000000 0.50000000 0.50000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "31.02",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "44.43",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "55.17",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "64.65",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-B5H9",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentaborane (B5H9, COD 1521678). Treat the crystal as infinite and periodic. Around the B atom at fractional (0.1076, 0.1972, 0.7671), how many B atoms lie at the shortest B–B distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断成键类型。",
   "inputs": [
    {
     "name": "FA-COORD-B5H9-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "pentaborane (B5H9, COD 1521678); cell a = 10.20100 b = 10.20100 c = 9.99600 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 112 atoms; element x y z (fractional)\nB 0.10760000 0.19720000 0.76710000\nB 0.10810000 0.35690000 0.70500000\nB 0.13490000 0.21680000 0.26640000\nB 0.16010000 0.32150000 0.85890000\nB 0.17520000 0.37970000 0.31780000\nB 0.19180000 0.70100000 0.95890000\nB 0.19720000 0.89240000 0.51710000\nB 0.20860000 0.71970000 0.56420000\nB 0.21680000 0.86510000 0.01640000\nB 0.24790000 0.73720000 0.11700000\nB 0.26280000 0.24790000 0.36700000\nB 0.28030000 0.20860000 0.81420000\nB 0.28070000 0.37300000 0.75080000\nB 0.29900000 0.19180000 0.20890000\nB 0.32150000 0.83990000 0.60890000\nB 0.33870000 0.35590000 0.25910000\nB 0.35590000 0.66130000 0.00910000\nB 0.35690000 0.89190000 0.45500000\nB 0.37300000 0.71930000 0.50080000\nB 0.37970000 0.82480000 0.06780000\nB 0.62030000 0.17520000 0.56780000\nB 0.62700000 0.28070000 0.00080000\nB 0.64310000 0.10810000 0.95500000\nB 0.64410000 0.33870000 0.50910000\nB 0.66130000 0.64410000 0.75910000\nB 0.67850000 0.16010000 0.10890000\nB 0.70100000 0.80820000 0.70890000\nB 0.71930000 0.62700000 0.25080000\nB 0.71970000 0.79140000 0.31420000\nB 0.73720000 0.75210000 0.86700000\nB 0.75210000 0.26280000 0.61700000\nB 0.78320000 0.13490000 0.51640000\nB 0.79140000 0.28030000 0.06420000\nB 0.80280000 0.10760000 0.01710000\nB 0.80820000 0.29900000 0.45890000\nB 0.82480000 0.62030000 0.81780000\nB 0.83990000 0.67850000 0.35890000\nB 0.86510000 0.78320000 0.76640000\nB 0.89190000 0.64310000 0.20500000\nB 0.89240000 0.80280000 0.26710000\nH 0.04200000 0.15300000 0.78100000\nH 0.04500000 0.42400000 0.66000000\nH 0.06300000 0.15400000 0.27500000\nH 0.09200000 0.25500000 0.64200000\nH 0.10100000 0.32400000 0.26100000\nH 0.11800000 0.64200000 0.93000000\nH 0.12300000 0.75700000 0.49800000\nH 0.12800000 0.35300000 0.95500000\nH 0.13100000 0.45500000 0.37100000\nH 0.14800000 0.63900000 0.64700000\nH 0.15300000 0.95800000 0.53100000\nH 0.15400000 0.93700000 0.02500000\nH 0.18600000 0.81300000 0.91200000\nH 0.18700000 0.18600000 0.16200000\nH 0.19700000 0.38400000 0.64000000\nH 0.21600000 0.71200000 0.22400000\nH 0.24300000 0.12300000 0.74800000\nH 0.25500000 0.90800000 0.39200000\nH 0.26700000 0.42400000 0.24000000\nH 0.27400000 0.66100000 0.48400000\nH 0.28800000 0.21600000 0.47400000\nH 0.29700000 0.66300000 0.89900000\nH 0.32400000 0.89900000 0.01100000\nH 0.33700000 0.29700000 0.14900000\nH 0.33900000 0.27400000 0.73400000\nH 0.34700000 0.48300000 0.73200000\nH 0.35300000 0.87200000 0.70500000\nH 0.35800000 0.11800000 0.18000000\nH 0.36100000 0.14800000 0.89700000\nH 0.38400000 0.80300000 0.39000000\nH 0.40300000 0.59400000 0.01000000\nH 0.40600000 0.40300000 0.26000000\nH 0.42400000 0.73300000 0.99000000\nH 0.42400000 0.95500000 0.41000000\nH 0.45500000 0.86900000 0.12100000\nH 0.48300000 0.65300000 0.48200000\nH 0.51700000 0.34700000 0.98200000\nH 0.54500000 0.13100000 0.62100000\nH 0.57600000 0.04500000 0.91000000\nH 0.57600000 0.26700000 0.49000000\nH 0.59400000 0.59700000 0.76000000\nH 0.59700000 0.40600000 0.51000000\nH 0.61600000 0.19700000 0.89000000\nH 0.63900000 0.85200000 0.39700000\nH 0.64200000 0.88200000 0.68000000\nH 0.64700000 0.12800000 0.20500000\nH 0.65300000 0.51700000 0.23200000\nH 0.66100000 0.72600000 0.23400000\nH 0.66300000 0.70300000 0.64900000\nH 0.67600000 0.10100000 0.51100000\nH 0.70300000 0.33700000 0.39900000\nH 0.71200000 0.78400000 0.97400000\nH 0.72600000 0.33900000 0.98400000\nH 0.73300000 0.57600000 0.74000000\nH 0.74500000 0.09200000 0.89200000\nH 0.75700000 0.87700000 0.24800000\nH 0.78400000 0.28800000 0.72400000\nH 0.80300000 0.61600000 0.14000000\nH 0.81300000 0.81400000 0.66200000\nH 0.81400000 0.18700000 0.41200000\nH 0.84600000 0.06300000 0.52500000\nH 0.84700000 0.04200000 0.03100000\nH 0.85200000 0.36100000 0.14700000\nH 0.86900000 0.54500000 0.87100000\nH 0.87200000 0.64700000 0.45500000\nH 0.87700000 0.24300000 0.99800000\nH 0.88200000 0.35800000 0.43000000\nH 0.89900000 0.67600000 0.76100000\nH 0.90800000 0.74500000 0.14200000\nH 0.93700000 0.84600000 0.77500000\nH 0.95500000 0.57600000 0.16000000\nH 0.95800000 0.84700000 0.28100000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2 at 1.654 Å"
    },
    {
     "label": "B",
     "value": "1 at 1.654 Å"
    },
    {
     "label": "C",
     "value": "1 at 1.743 Å"
    },
    {
     "label": "D",
     "value": "3 at 1.654 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-B5H9",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentaborane (B5H9, COD 1521678). Use the kinematic structure factor with atomic numbers as angle-independent weights (B = 5, H = 1). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断成键类型。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-B5H9-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "pentaborane (B5H9, COD 1521678); cell a = 10.20100 b = 10.20100 c = 9.99600 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 112 atoms; element x y z (fractional)\nB 0.10760000 0.19720000 0.76710000\nB 0.10810000 0.35690000 0.70500000\nB 0.13490000 0.21680000 0.26640000\nB 0.16010000 0.32150000 0.85890000\nB 0.17520000 0.37970000 0.31780000\nB 0.19180000 0.70100000 0.95890000\nB 0.19720000 0.89240000 0.51710000\nB 0.20860000 0.71970000 0.56420000\nB 0.21680000 0.86510000 0.01640000\nB 0.24790000 0.73720000 0.11700000\nB 0.26280000 0.24790000 0.36700000\nB 0.28030000 0.20860000 0.81420000\nB 0.28070000 0.37300000 0.75080000\nB 0.29900000 0.19180000 0.20890000\nB 0.32150000 0.83990000 0.60890000\nB 0.33870000 0.35590000 0.25910000\nB 0.35590000 0.66130000 0.00910000\nB 0.35690000 0.89190000 0.45500000\nB 0.37300000 0.71930000 0.50080000\nB 0.37970000 0.82480000 0.06780000\nB 0.62030000 0.17520000 0.56780000\nB 0.62700000 0.28070000 0.00080000\nB 0.64310000 0.10810000 0.95500000\nB 0.64410000 0.33870000 0.50910000\nB 0.66130000 0.64410000 0.75910000\nB 0.67850000 0.16010000 0.10890000\nB 0.70100000 0.80820000 0.70890000\nB 0.71930000 0.62700000 0.25080000\nB 0.71970000 0.79140000 0.31420000\nB 0.73720000 0.75210000 0.86700000\nB 0.75210000 0.26280000 0.61700000\nB 0.78320000 0.13490000 0.51640000\nB 0.79140000 0.28030000 0.06420000\nB 0.80280000 0.10760000 0.01710000\nB 0.80820000 0.29900000 0.45890000\nB 0.82480000 0.62030000 0.81780000\nB 0.83990000 0.67850000 0.35890000\nB 0.86510000 0.78320000 0.76640000\nB 0.89190000 0.64310000 0.20500000\nB 0.89240000 0.80280000 0.26710000\nH 0.04200000 0.15300000 0.78100000\nH 0.04500000 0.42400000 0.66000000\nH 0.06300000 0.15400000 0.27500000\nH 0.09200000 0.25500000 0.64200000\nH 0.10100000 0.32400000 0.26100000\nH 0.11800000 0.64200000 0.93000000\nH 0.12300000 0.75700000 0.49800000\nH 0.12800000 0.35300000 0.95500000\nH 0.13100000 0.45500000 0.37100000\nH 0.14800000 0.63900000 0.64700000\nH 0.15300000 0.95800000 0.53100000\nH 0.15400000 0.93700000 0.02500000\nH 0.18600000 0.81300000 0.91200000\nH 0.18700000 0.18600000 0.16200000\nH 0.19700000 0.38400000 0.64000000\nH 0.21600000 0.71200000 0.22400000\nH 0.24300000 0.12300000 0.74800000\nH 0.25500000 0.90800000 0.39200000\nH 0.26700000 0.42400000 0.24000000\nH 0.27400000 0.66100000 0.48400000\nH 0.28800000 0.21600000 0.47400000\nH 0.29700000 0.66300000 0.89900000\nH 0.32400000 0.89900000 0.01100000\nH 0.33700000 0.29700000 0.14900000\nH 0.33900000 0.27400000 0.73400000\nH 0.34700000 0.48300000 0.73200000\nH 0.35300000 0.87200000 0.70500000\nH 0.35800000 0.11800000 0.18000000\nH 0.36100000 0.14800000 0.89700000\nH 0.38400000 0.80300000 0.39000000\nH 0.40300000 0.59400000 0.01000000\nH 0.40600000 0.40300000 0.26000000\nH 0.42400000 0.73300000 0.99000000\nH 0.42400000 0.95500000 0.41000000\nH 0.45500000 0.86900000 0.12100000\nH 0.48300000 0.65300000 0.48200000\nH 0.51700000 0.34700000 0.98200000\nH 0.54500000 0.13100000 0.62100000\nH 0.57600000 0.04500000 0.91000000\nH 0.57600000 0.26700000 0.49000000\nH 0.59400000 0.59700000 0.76000000\nH 0.59700000 0.40600000 0.51000000\nH 0.61600000 0.19700000 0.89000000\nH 0.63900000 0.85200000 0.39700000\nH 0.64200000 0.88200000 0.68000000\nH 0.64700000 0.12800000 0.20500000\nH 0.65300000 0.51700000 0.23200000\nH 0.66100000 0.72600000 0.23400000\nH 0.66300000 0.70300000 0.64900000\nH 0.67600000 0.10100000 0.51100000\nH 0.70300000 0.33700000 0.39900000\nH 0.71200000 0.78400000 0.97400000\nH 0.72600000 0.33900000 0.98400000\nH 0.73300000 0.57600000 0.74000000\nH 0.74500000 0.09200000 0.89200000\nH 0.75700000 0.87700000 0.24800000\nH 0.78400000 0.28800000 0.72400000\nH 0.80300000 0.61600000 0.14000000\nH 0.81300000 0.81400000 0.66200000\nH 0.81400000 0.18700000 0.41200000\nH 0.84600000 0.06300000 0.52500000\nH 0.84700000 0.04200000 0.03100000\nH 0.85200000 0.36100000 0.14700000\nH 0.86900000 0.54500000 0.87100000\nH 0.87200000 0.64700000 0.45500000\nH 0.87700000 0.24300000 0.99800000\nH 0.88200000 0.35800000 0.43000000\nH 0.89900000 0.67600000 0.76100000\nH 0.90800000 0.74500000 0.14200000\nH 0.93700000 0.84600000 0.77500000\nH 0.95500000 0.57600000 0.16000000\nH 0.95800000 0.84700000 0.28100000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4.33",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "8.66",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "17.37",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "21.61",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-K2CUF4",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of potassium copper fluoride (K2CuF4, COD 1527502). Treat the crystal as infinite and periodic. Around the Cu atom at fractional (0.0000, 0.0000, 0.0000), how many F atoms lie at the shortest Cu–F distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "晶胞对称展开；层状 Jahn–Teller 体系，只问最近壳层几何。",
   "inputs": [
    {
     "name": "FA-COORD-K2CUF4-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "potassium copper fluoride (K2CuF4, COD 1527502); cell a = 4.14700 b = 4.14700 c = 12.73000 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 14 atoms; element x y z (fractional)\nCu 0.00000000 0.00000000 0.00000000\nCu 0.50000000 0.50000000 0.50000000\nF 0.00000000 0.00000000 0.15230000\nF 0.00000000 0.00000000 0.84770000\nF 0.00000000 0.50000000 0.00000000\nF 0.00000000 0.50000000 0.50000000\nF 0.50000000 0.00000000 0.00000000\nF 0.50000000 0.00000000 0.50000000\nF 0.50000000 0.50000000 0.34770000\nF 0.50000000 0.50000000 0.65230000\nK 0.00000000 0.00000000 0.35690000\nK 0.00000000 0.00000000 0.64310000\nK 0.50000000 0.50000000 0.14310000\nK 0.50000000 0.50000000 0.85690000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "4 at 2.074 Å"
    },
    {
     "label": "B",
     "value": "1 at 1.939 Å"
    },
    {
     "label": "C",
     "value": "2 at 1.939 Å"
    },
    {
     "label": "D",
     "value": "6 at 1.939 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-K2CUF4",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of potassium copper fluoride (K2CuF4, COD 1527502). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cu = 29, F = 9, K = 19). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；层状 Jahn–Teller 体系，只问最近壳层几何。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-K2CUF4-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "potassium copper fluoride (K2CuF4, COD 1527502); cell a = 4.14700 b = 4.14700 c = 12.73000 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 14 atoms; element x y z (fractional)\nCu 0.00000000 0.00000000 0.00000000\nCu 0.50000000 0.50000000 0.50000000\nF 0.00000000 0.00000000 0.15230000\nF 0.00000000 0.00000000 0.84770000\nF 0.00000000 0.50000000 0.00000000\nF 0.00000000 0.50000000 0.50000000\nF 0.50000000 0.00000000 0.00000000\nF 0.50000000 0.00000000 0.50000000\nF 0.50000000 0.50000000 0.34770000\nF 0.50000000 0.50000000 0.65230000\nK 0.00000000 0.00000000 0.35690000\nK 0.00000000 0.00000000 0.64310000\nK 0.50000000 0.50000000 0.14310000\nK 0.50000000 0.50000000 0.85690000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.94",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "13.90",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "28.01",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "43.62",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-MN2CO10",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of dimanganese decacarbonyl (Mn2(CO)10, COD 2103865). Treat the crystal as infinite and periodic. Around the Mn atom at fractional (0.1544, 0.2366, 0.9309), how many C atoms lie at the shortest Mn–C distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断金属–金属键。",
   "inputs": [
    {
     "name": "FA-COORD-MN2CO10-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "dimanganese decacarbonyl (Mn2(CO)10, COD 2103865); cell a = 14.12570 b = 6.87990 c = 14.31210 angstrom, alpha = 90.000 beta = 105.078 gamma = 90.000 degree; 88 atoms; element x y z (fractional)\nC 0.03876000 0.24531000 0.83760000\nC 0.03876000 0.25469000 0.33760000\nC 0.10708000 0.15475000 0.52889000\nC 0.10708000 0.34525000 0.02889000\nC 0.12660000 0.50467000 0.47536000\nC 0.12660000 0.99533000 0.97536000\nC 0.19074000 0.01652000 0.39835000\nC 0.19074000 0.48348000 0.89835000\nC 0.22220000 0.11905000 0.85092000\nC 0.22220000 0.38095000 0.35092000\nC 0.27780000 0.11905000 0.14908000\nC 0.27780000 0.38095000 0.64908000\nC 0.30926000 0.01652000 0.60165000\nC 0.30926000 0.48348000 0.10165000\nC 0.37340000 0.50467000 0.52464000\nC 0.37340000 0.99533000 0.02464000\nC 0.39292000 0.15475000 0.47111000\nC 0.39292000 0.34525000 0.97111000\nC 0.46124000 0.24531000 0.16240000\nC 0.46124000 0.25469000 0.66240000\nC 0.53876000 0.74531000 0.33760000\nC 0.53876000 0.75469000 0.83760000\nC 0.60708000 0.65475000 0.02889000\nC 0.60708000 0.84525000 0.52889000\nC 0.62660000 0.00467000 0.97536000\nC 0.62660000 0.49533000 0.47536000\nC 0.69074000 0.51652000 0.89835000\nC 0.69074000 0.98348000 0.39835000\nC 0.72220000 0.61905000 0.35092000\nC 0.72220000 0.88095000 0.85092000\nC 0.77780000 0.61905000 0.64908000\nC 0.77780000 0.88095000 0.14908000\nC 0.80926000 0.51652000 0.10165000\nC 0.80926000 0.98348000 0.60165000\nC 0.87340000 0.00467000 0.02464000\nC 0.87340000 0.49533000 0.52464000\nC 0.89292000 0.65475000 0.97111000\nC 0.89292000 0.84525000 0.47111000\nC 0.96124000 0.74531000 0.66240000\nC 0.96124000 0.75469000 0.16240000\nMn 0.15439200 0.23658700 0.93093600\nMn 0.15439200 0.26341300 0.43093600\nMn 0.34560800 0.23658700 0.06906400\nMn 0.34560800 0.26341300 0.56906400\nMn 0.65439200 0.73658700 0.43093600\nMn 0.65439200 0.76341300 0.93093600\nMn 0.84560800 0.73658700 0.56906400\nMn 0.84560800 0.76341300 0.06906400\nO 0.03285000 0.74919000 0.22218000\nO 0.03285000 0.75081000 0.72218000\nO 0.07769000 0.09322000 0.58994000\nO 0.07769000 0.40678000 0.08994000\nO 0.10439000 0.64901000 0.50299000\nO 0.10439000 0.85099000 0.00299000\nO 0.21108000 0.63559000 0.87908000\nO 0.21108000 0.86441000 0.37908000\nO 0.23744000 0.04643000 0.19924000\nO 0.23744000 0.45357000 0.69924000\nO 0.26256000 0.04643000 0.80076000\nO 0.26256000 0.45357000 0.30076000\nO 0.28892000 0.63559000 0.12092000\nO 0.28892000 0.86441000 0.62092000\nO 0.39561000 0.64901000 0.49701000\nO 0.39561000 0.85099000 0.99701000\nO 0.42231000 0.09322000 0.41006000\nO 0.42231000 0.40678000 0.91006000\nO 0.46715000 0.74919000 0.77782000\nO 0.46715000 0.75081000 0.27782000\nO 0.53285000 0.24919000 0.72218000\nO 0.53285000 0.25081000 0.22218000\nO 0.57769000 0.59322000 0.08994000\nO 0.57769000 0.90678000 0.58994000\nO 0.60439000 0.14901000 0.00299000\nO 0.60439000 0.35099000 0.50299000\nO 0.71108000 0.13559000 0.37908000\nO 0.71108000 0.36441000 0.87908000\nO 0.73744000 0.54643000 0.69924000\nO 0.73744000 0.95357000 0.19924000\nO 0.76256000 0.54643000 0.30076000\nO 0.76256000 0.95357000 0.80076000\nO 0.78892000 0.13559000 0.62092000\nO 0.78892000 0.36441000 0.12092000\nO 0.89561000 0.14901000 0.99701000\nO 0.89561000 0.35099000 0.49701000\nO 0.92231000 0.59322000 0.91006000\nO 0.92231000 0.90678000 0.41006000\nO 0.96715000 0.24919000 0.27782000\nO 0.96715000 0.25081000 0.77782000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 2.903 Å"
    },
    {
     "label": "B",
     "value": "1 at 1.856 Å"
    },
    {
     "label": "C",
     "value": "5 at 1.822 Å"
    },
    {
     "label": "D",
     "value": "1 at 1.822 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-MN2CO10",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of dimanganese decacarbonyl (Mn2(CO)10, COD 2103865). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, Mn = 25, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断金属–金属键。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-MN2CO10-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "dimanganese decacarbonyl (Mn2(CO)10, COD 2103865); cell a = 14.12570 b = 6.87990 c = 14.31210 angstrom, alpha = 90.000 beta = 105.078 gamma = 90.000 degree; 88 atoms; element x y z (fractional)\nC 0.03876000 0.24531000 0.83760000\nC 0.03876000 0.25469000 0.33760000\nC 0.10708000 0.15475000 0.52889000\nC 0.10708000 0.34525000 0.02889000\nC 0.12660000 0.50467000 0.47536000\nC 0.12660000 0.99533000 0.97536000\nC 0.19074000 0.01652000 0.39835000\nC 0.19074000 0.48348000 0.89835000\nC 0.22220000 0.11905000 0.85092000\nC 0.22220000 0.38095000 0.35092000\nC 0.27780000 0.11905000 0.14908000\nC 0.27780000 0.38095000 0.64908000\nC 0.30926000 0.01652000 0.60165000\nC 0.30926000 0.48348000 0.10165000\nC 0.37340000 0.50467000 0.52464000\nC 0.37340000 0.99533000 0.02464000\nC 0.39292000 0.15475000 0.47111000\nC 0.39292000 0.34525000 0.97111000\nC 0.46124000 0.24531000 0.16240000\nC 0.46124000 0.25469000 0.66240000\nC 0.53876000 0.74531000 0.33760000\nC 0.53876000 0.75469000 0.83760000\nC 0.60708000 0.65475000 0.02889000\nC 0.60708000 0.84525000 0.52889000\nC 0.62660000 0.00467000 0.97536000\nC 0.62660000 0.49533000 0.47536000\nC 0.69074000 0.51652000 0.89835000\nC 0.69074000 0.98348000 0.39835000\nC 0.72220000 0.61905000 0.35092000\nC 0.72220000 0.88095000 0.85092000\nC 0.77780000 0.61905000 0.64908000\nC 0.77780000 0.88095000 0.14908000\nC 0.80926000 0.51652000 0.10165000\nC 0.80926000 0.98348000 0.60165000\nC 0.87340000 0.00467000 0.02464000\nC 0.87340000 0.49533000 0.52464000\nC 0.89292000 0.65475000 0.97111000\nC 0.89292000 0.84525000 0.47111000\nC 0.96124000 0.74531000 0.66240000\nC 0.96124000 0.75469000 0.16240000\nMn 0.15439200 0.23658700 0.93093600\nMn 0.15439200 0.26341300 0.43093600\nMn 0.34560800 0.23658700 0.06906400\nMn 0.34560800 0.26341300 0.56906400\nMn 0.65439200 0.73658700 0.43093600\nMn 0.65439200 0.76341300 0.93093600\nMn 0.84560800 0.73658700 0.56906400\nMn 0.84560800 0.76341300 0.06906400\nO 0.03285000 0.74919000 0.22218000\nO 0.03285000 0.75081000 0.72218000\nO 0.07769000 0.09322000 0.58994000\nO 0.07769000 0.40678000 0.08994000\nO 0.10439000 0.64901000 0.50299000\nO 0.10439000 0.85099000 0.00299000\nO 0.21108000 0.63559000 0.87908000\nO 0.21108000 0.86441000 0.37908000\nO 0.23744000 0.04643000 0.19924000\nO 0.23744000 0.45357000 0.69924000\nO 0.26256000 0.04643000 0.80076000\nO 0.26256000 0.45357000 0.30076000\nO 0.28892000 0.63559000 0.12092000\nO 0.28892000 0.86441000 0.62092000\nO 0.39561000 0.64901000 0.49701000\nO 0.39561000 0.85099000 0.99701000\nO 0.42231000 0.09322000 0.41006000\nO 0.42231000 0.40678000 0.91006000\nO 0.46715000 0.74919000 0.77782000\nO 0.46715000 0.75081000 0.27782000\nO 0.53285000 0.24919000 0.72218000\nO 0.53285000 0.25081000 0.22218000\nO 0.57769000 0.59322000 0.08994000\nO 0.57769000 0.90678000 0.58994000\nO 0.60439000 0.14901000 0.00299000\nO 0.60439000 0.35099000 0.50299000\nO 0.71108000 0.13559000 0.37908000\nO 0.71108000 0.36441000 0.87908000\nO 0.73744000 0.54643000 0.69924000\nO 0.73744000 0.95357000 0.19924000\nO 0.76256000 0.54643000 0.30076000\nO 0.76256000 0.95357000 0.80076000\nO 0.78892000 0.13559000 0.62092000\nO 0.78892000 0.36441000 0.12092000\nO 0.89561000 0.14901000 0.99701000\nO 0.89561000 0.35099000 0.49701000\nO 0.92231000 0.59322000 0.91006000\nO 0.92231000 0.90678000 0.41006000\nO 0.96715000 0.24919000 0.27782000\nO 0.96715000 0.25081000 0.77782000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "6.25",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "6.39",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "12.80",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "32.13",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-PARA-I",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form I (monoclinic, COD 2104364). Treat the crystal as infinite and periodic. Around the O atom at fractional (0.1466, 0.5057, 0.1914), how many C atoms lie at the shortest O–C distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "分子晶体，晶胞对称展开；多晶型之一。",
   "inputs": [
    {
     "name": "FA-COORD-PARA-I-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "paracetamol form I (monoclinic, COD 2104364); cell a = 7.09150 b = 9.21490 c = 11.60150 angstrom, alpha = 90.000 beta = 97.865 gamma = 90.000 degree; 80 atoms; element x y z (fractional)\nC 0.03765000 0.32839000 0.44549000\nC 0.05982000 0.23486000 0.54034000\nC 0.08812000 0.85734000 0.43830000\nC 0.09272000 0.10118000 0.17619000\nC 0.13386000 0.66916000 0.62961000\nC 0.17867000 0.01424000 0.28039000\nC 0.21954000 0.26301000 0.89018000\nC 0.24178000 0.35716000 0.98505000\nC 0.25822000 0.85716000 0.51495000\nC 0.28046000 0.76301000 0.60982000\nC 0.32133000 0.51424000 0.21961000\nC 0.36614000 0.16916000 0.87039000\nC 0.40728000 0.60118000 0.32381000\nC 0.41188000 0.35734000 0.06170000\nC 0.44018000 0.73486000 0.95966000\nC 0.46235000 0.82839000 0.05451000\nC 0.53765000 0.17161000 0.94549000\nC 0.55982000 0.26514000 0.04034000\nC 0.58812000 0.64266000 0.93830000\nC 0.59272000 0.39882000 0.67619000\nC 0.63386000 0.83084000 0.12961000\nC 0.67867000 0.48576000 0.78039000\nC 0.71954000 0.23699000 0.39018000\nC 0.74178000 0.14284000 0.48505000\nC 0.75822000 0.64284000 0.01495000\nC 0.78046000 0.73699000 0.10982000\nC 0.82133000 0.98576000 0.71961000\nC 0.86614000 0.33084000 0.37039000\nC 0.90728000 0.89882000 0.82381000\nC 0.91188000 0.14266000 0.56170000\nC 0.94018000 0.76514000 0.45966000\nC 0.96235000 0.67161000 0.55451000\nH 0.04080000 0.91530000 0.84530000\nH 0.04750000 0.54180000 0.74290000\nH 0.07320000 0.04170000 0.68730000\nH 0.09790000 0.26370000 0.83360000\nH 0.10340000 0.20610000 0.19160000\nH 0.14180000 0.42470000 0.99660000\nH 0.14450000 0.39100000 0.43200000\nH 0.16450000 0.08570000 0.11230000\nH 0.18050000 0.23250000 0.59480000\nH 0.31950000 0.73250000 0.90520000\nH 0.33550000 0.58570000 0.38770000\nH 0.35550000 0.89100000 0.06800000\nH 0.35820000 0.92470000 0.50340000\nH 0.39660000 0.70610000 0.30840000\nH 0.40210000 0.76370000 0.66640000\nH 0.42680000 0.54170000 0.81270000\nH 0.45250000 0.04180000 0.75710000\nH 0.45920000 0.41530000 0.65470000\nH 0.54080000 0.58470000 0.34530000\nH 0.54750000 0.95820000 0.24290000\nH 0.57320000 0.45830000 0.18730000\nH 0.59790000 0.23630000 0.33360000\nH 0.60340000 0.29390000 0.69160000\nH 0.64180000 0.07530000 0.49660000\nH 0.64450000 0.10900000 0.93200000\nH 0.66450000 0.41430000 0.61230000\nH 0.68050000 0.26750000 0.09480000\nH 0.81950000 0.76750000 0.40520000\nH 0.83550000 0.91430000 0.88770000\nH 0.85550000 0.60900000 0.56800000\nH 0.85820000 0.57530000 0.00340000\nH 0.89660000 0.79390000 0.80840000\nH 0.90210000 0.73630000 0.16640000\nH 0.92680000 0.95830000 0.31270000\nH 0.95250000 0.45820000 0.25710000\nH 0.95920000 0.08470000 0.15470000\nN 0.05195000 0.94871000 0.33961000\nN 0.44805000 0.44871000 0.16039000\nN 0.55195000 0.55129000 0.83961000\nN 0.94805000 0.05129000 0.66039000\nO 0.14663000 0.50573000 0.19136000\nO 0.16427000 0.57679000 0.72264000\nO 0.33573000 0.07679000 0.77736000\nO 0.35337000 0.00573000 0.30864000\nO 0.64663000 0.99427000 0.69136000\nO 0.66427000 0.92321000 0.22264000\nO 0.83573000 0.42321000 0.27736000\nO 0.85337000 0.49427000 0.80864000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 1.240 Å"
    },
    {
     "label": "B",
     "value": "1 at 2.653 Å"
    },
    {
     "label": "C",
     "value": "2 at 1.240 Å"
    },
    {
     "label": "D",
     "value": "1 at 2.403 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-PARA-I",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form I (monoclinic, COD 2104364). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；多晶型之一。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-PARA-I-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "paracetamol form I (monoclinic, COD 2104364); cell a = 7.09150 b = 9.21490 c = 11.60150 angstrom, alpha = 90.000 beta = 97.865 gamma = 90.000 degree; 80 atoms; element x y z (fractional)\nC 0.03765000 0.32839000 0.44549000\nC 0.05982000 0.23486000 0.54034000\nC 0.08812000 0.85734000 0.43830000\nC 0.09272000 0.10118000 0.17619000\nC 0.13386000 0.66916000 0.62961000\nC 0.17867000 0.01424000 0.28039000\nC 0.21954000 0.26301000 0.89018000\nC 0.24178000 0.35716000 0.98505000\nC 0.25822000 0.85716000 0.51495000\nC 0.28046000 0.76301000 0.60982000\nC 0.32133000 0.51424000 0.21961000\nC 0.36614000 0.16916000 0.87039000\nC 0.40728000 0.60118000 0.32381000\nC 0.41188000 0.35734000 0.06170000\nC 0.44018000 0.73486000 0.95966000\nC 0.46235000 0.82839000 0.05451000\nC 0.53765000 0.17161000 0.94549000\nC 0.55982000 0.26514000 0.04034000\nC 0.58812000 0.64266000 0.93830000\nC 0.59272000 0.39882000 0.67619000\nC 0.63386000 0.83084000 0.12961000\nC 0.67867000 0.48576000 0.78039000\nC 0.71954000 0.23699000 0.39018000\nC 0.74178000 0.14284000 0.48505000\nC 0.75822000 0.64284000 0.01495000\nC 0.78046000 0.73699000 0.10982000\nC 0.82133000 0.98576000 0.71961000\nC 0.86614000 0.33084000 0.37039000\nC 0.90728000 0.89882000 0.82381000\nC 0.91188000 0.14266000 0.56170000\nC 0.94018000 0.76514000 0.45966000\nC 0.96235000 0.67161000 0.55451000\nH 0.04080000 0.91530000 0.84530000\nH 0.04750000 0.54180000 0.74290000\nH 0.07320000 0.04170000 0.68730000\nH 0.09790000 0.26370000 0.83360000\nH 0.10340000 0.20610000 0.19160000\nH 0.14180000 0.42470000 0.99660000\nH 0.14450000 0.39100000 0.43200000\nH 0.16450000 0.08570000 0.11230000\nH 0.18050000 0.23250000 0.59480000\nH 0.31950000 0.73250000 0.90520000\nH 0.33550000 0.58570000 0.38770000\nH 0.35550000 0.89100000 0.06800000\nH 0.35820000 0.92470000 0.50340000\nH 0.39660000 0.70610000 0.30840000\nH 0.40210000 0.76370000 0.66640000\nH 0.42680000 0.54170000 0.81270000\nH 0.45250000 0.04180000 0.75710000\nH 0.45920000 0.41530000 0.65470000\nH 0.54080000 0.58470000 0.34530000\nH 0.54750000 0.95820000 0.24290000\nH 0.57320000 0.45830000 0.18730000\nH 0.59790000 0.23630000 0.33360000\nH 0.60340000 0.29390000 0.69160000\nH 0.64180000 0.07530000 0.49660000\nH 0.64450000 0.10900000 0.93200000\nH 0.66450000 0.41430000 0.61230000\nH 0.68050000 0.26750000 0.09480000\nH 0.81950000 0.76750000 0.40520000\nH 0.83550000 0.91430000 0.88770000\nH 0.85550000 0.60900000 0.56800000\nH 0.85820000 0.57530000 0.00340000\nH 0.89660000 0.79390000 0.80840000\nH 0.90210000 0.73630000 0.16640000\nH 0.92680000 0.95830000 0.31270000\nH 0.95250000 0.45820000 0.25710000\nH 0.95920000 0.08470000 0.15470000\nN 0.05195000 0.94871000 0.33961000\nN 0.44805000 0.44871000 0.16039000\nN 0.55195000 0.55129000 0.83961000\nN 0.94805000 0.05129000 0.66039000\nO 0.14663000 0.50573000 0.19136000\nO 0.16427000 0.57679000 0.72264000\nO 0.33573000 0.07679000 0.77736000\nO 0.35337000 0.00573000 0.30864000\nO 0.64663000 0.99427000 0.69136000\nO 0.66427000 0.92321000 0.22264000\nO 0.83573000 0.42321000 0.27736000\nO 0.85337000 0.49427000 0.80864000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "12.30",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "13.83",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "17.67",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "24.75",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-PARA-II",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form II (orthorhombic, COD 2105052). Treat the crystal as infinite and periodic. Around the O atom at fractional (0.1032, 0.7285, 0.5030), how many C atoms lie at the shortest O–C distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "分子晶体，晶胞对称展开；与 I 型同化合物、不同堆积。",
   "inputs": [
    {
     "name": "FA-COORD-PARA-II-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "paracetamol form II (orthorhombic, COD 2105052); cell a = 11.82370 b = 7.39710 c = 17.15260 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 160 atoms; element x y z (fractional)\nC 0.00639000 0.73910000 0.98041000\nC 0.00639000 0.76090000 0.48041000\nC 0.01126000 0.62950000 0.77173000\nC 0.01126000 0.87050000 0.27173000\nC 0.05363000 0.70800000 0.83894000\nC 0.05363000 0.79200000 0.33894000\nC 0.07201000 0.63410000 0.70309000\nC 0.07201000 0.86590000 0.20309000\nC 0.09303000 0.23070000 0.46541000\nC 0.09303000 0.26930000 0.96541000\nC 0.16057000 0.71270000 0.33699000\nC 0.16057000 0.78730000 0.83699000\nC 0.17645000 0.71910000 0.70051000\nC 0.17645000 0.78090000 0.20051000\nC 0.22081000 0.70760000 0.26808000\nC 0.22081000 0.79240000 0.76808000\nC 0.27919000 0.29240000 0.76808000\nC 0.27919000 0.20760000 0.26808000\nC 0.32355000 0.21910000 0.70051000\nC 0.32355000 0.28090000 0.20051000\nC 0.33943000 0.21270000 0.33699000\nC 0.33943000 0.28730000 0.83699000\nC 0.40697000 0.73070000 0.46541000\nC 0.40697000 0.76930000 0.96541000\nC 0.42799000 0.13410000 0.70309000\nC 0.42799000 0.36590000 0.20309000\nC 0.44637000 0.20800000 0.83894000\nC 0.44637000 0.29200000 0.33894000\nC 0.48874000 0.37050000 0.27173000\nC 0.48874000 0.12950000 0.77173000\nC 0.49361000 0.23910000 0.98041000\nC 0.49361000 0.26090000 0.48041000\nC 0.50639000 0.73910000 0.51959000\nC 0.50639000 0.76090000 0.01959000\nC 0.51126000 0.62950000 0.72827000\nC 0.51126000 0.87050000 0.22827000\nC 0.55363000 0.70800000 0.66106000\nC 0.55363000 0.79200000 0.16106000\nC 0.57201000 0.63410000 0.79691000\nC 0.57201000 0.86590000 0.29691000\nC 0.59303000 0.23070000 0.03459000\nC 0.59303000 0.26930000 0.53459000\nC 0.66057000 0.71270000 0.16301000\nC 0.66057000 0.78730000 0.66301000\nC 0.67645000 0.71910000 0.79949000\nC 0.67645000 0.78090000 0.29949000\nC 0.72081000 0.70760000 0.23192000\nC 0.72081000 0.79240000 0.73192000\nC 0.77919000 0.20760000 0.23192000\nC 0.77919000 0.29240000 0.73192000\nC 0.82355000 0.21910000 0.79949000\nC 0.82355000 0.28090000 0.29949000\nC 0.83943000 0.21270000 0.16301000\nC 0.83943000 0.28730000 0.66301000\nC 0.90697000 0.73070000 0.03459000\nC 0.90697000 0.76930000 0.53459000\nC 0.92799000 0.13410000 0.79691000\nC 0.92799000 0.36590000 0.29691000\nC 0.94637000 0.20800000 0.66106000\nC 0.94637000 0.29200000 0.16106000\nC 0.98874000 0.12950000 0.72827000\nC 0.98874000 0.37050000 0.22827000\nC 0.99361000 0.23910000 0.51959000\nC 0.99361000 0.26090000 0.01959000\nH 0.04260000 0.57500000 0.65590000\nH 0.04260000 0.92500000 0.15590000\nH 0.06370000 0.07000000 0.72680000\nH 0.06370000 0.43000000 0.22680000\nH 0.06900000 0.19400000 0.41570000\nH 0.06900000 0.30600000 0.91570000\nH 0.08910000 0.19000000 0.60630000\nH 0.08910000 0.31000000 0.10630000\nH 0.12600000 0.15400000 0.95740000\nH 0.12600000 0.34600000 0.45740000\nH 0.15600000 0.16200000 0.48360000\nH 0.15600000 0.33800000 0.98360000\nH 0.18800000 0.72100000 0.59020000\nH 0.18800000 0.77900000 0.09020000\nH 0.19080000 0.66000000 0.38230000\nH 0.19080000 0.84000000 0.88230000\nH 0.20680000 0.15300000 0.26580000\nH 0.20680000 0.34700000 0.76580000\nH 0.29320000 0.65300000 0.26580000\nH 0.29320000 0.84700000 0.76580000\nH 0.30920000 0.16000000 0.38230000\nH 0.30920000 0.34000000 0.88230000\nH 0.31200000 0.22100000 0.59020000\nH 0.31200000 0.27900000 0.09020000\nH 0.34400000 0.66200000 0.48360000\nH 0.34400000 0.83800000 0.98360000\nH 0.37400000 0.65400000 0.95740000\nH 0.37400000 0.84600000 0.45740000\nH 0.41090000 0.69000000 0.60630000\nH 0.41090000 0.81000000 0.10630000\nH 0.43100000 0.69400000 0.41570000\nH 0.43100000 0.80600000 0.91570000\nH 0.43630000 0.57000000 0.72680000\nH 0.43630000 0.93000000 0.22680000\nH 0.45740000 0.07500000 0.65590000\nH 0.45740000 0.42500000 0.15590000\nH 0.54260000 0.57500000 0.84410000\nH 0.54260000 0.92500000 0.34410000\nH 0.56370000 0.07000000 0.77320000\nH 0.56370000 0.43000000 0.27320000\nH 0.56900000 0.19400000 0.08430000\nH 0.56900000 0.30600000 0.58430000\nH 0.58910000 0.19000000 0.89370000\nH 0.58910000 0.31000000 0.39370000\nH 0.62600000 0.15400000 0.54260000\nH 0.62600000 0.34600000 0.04260000\nH 0.65600000 0.16200000 0.01640000\nH 0.65600000 0.33800000 0.51640000\nH 0.68800000 0.72100000 0.90980000\nH 0.68800000 0.77900000 0.40980000\nH 0.69080000 0.66000000 0.11770000\nH 0.69080000 0.84000000 0.61770000\nH 0.70680000 0.15300000 0.23420000\nH 0.70680000 0.34700000 0.73420000\nH 0.79320000 0.65300000 0.23420000\nH 0.79320000 0.84700000 0.73420000\nH 0.80920000 0.16000000 0.11770000\nH 0.80920000 0.34000000 0.61770000\nH 0.81200000 0.22100000 0.90980000\nH 0.81200000 0.27900000 0.40980000\nH 0.84400000 0.66200000 0.01640000\nH 0.84400000 0.83800000 0.51640000\nH 0.87400000 0.65400000 0.54260000\nH 0.87400000 0.84600000 0.04260000\nH 0.91090000 0.69000000 0.89370000\nH 0.91090000 0.81000000 0.39370000\nH 0.93100000 0.69400000 0.08430000\nH 0.93100000 0.80600000 0.58430000\nH 0.93630000 0.57000000 0.77320000\nH 0.93630000 0.93000000 0.27320000\nH 0.95740000 0.07500000 0.84410000\nH 0.95740000 0.42500000 0.34410000\nN 0.01806000 0.20908000 0.59458000\nN 0.01806000 0.29092000 0.09458000\nN 0.48194000 0.70908000 0.59458000\nN 0.48194000 0.79092000 0.09458000\nN 0.51806000 0.20908000 0.90542000\nN 0.51806000 0.29092000 0.40542000\nN 0.98194000 0.70908000 0.90542000\nN 0.98194000 0.79092000 0.40542000\nO 0.10325000 0.72850000 0.50299000\nO 0.10325000 0.77150000 0.00299000\nO 0.23691000 0.73072000 0.63243000\nO 0.23691000 0.76928000 0.13243000\nO 0.26309000 0.23072000 0.63243000\nO 0.26309000 0.26928000 0.13243000\nO 0.39675000 0.27150000 0.00299000\nO 0.39675000 0.22850000 0.50299000\nO 0.60325000 0.77150000 0.49701000\nO 0.60325000 0.72850000 0.99701000\nO 0.73691000 0.73072000 0.86757000\nO 0.73691000 0.76928000 0.36757000\nO 0.76309000 0.23072000 0.86757000\nO 0.76309000 0.26928000 0.36757000\nO 0.89675000 0.22850000 0.99701000\nO 0.89675000 0.27150000 0.49701000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 2.402 Å"
    },
    {
     "label": "B",
     "value": "1 at 1.232 Å"
    },
    {
     "label": "C",
     "value": "2 at 1.232 Å"
    },
    {
     "label": "D",
     "value": "1 at 2.725 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-PARA-II",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form II (orthorhombic, COD 2105052). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；与 I 型同化合物、不同堆积。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-PARA-II-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "paracetamol form II (orthorhombic, COD 2105052); cell a = 11.82370 b = 7.39710 c = 17.15260 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 160 atoms; element x y z (fractional)\nC 0.00639000 0.73910000 0.98041000\nC 0.00639000 0.76090000 0.48041000\nC 0.01126000 0.62950000 0.77173000\nC 0.01126000 0.87050000 0.27173000\nC 0.05363000 0.70800000 0.83894000\nC 0.05363000 0.79200000 0.33894000\nC 0.07201000 0.63410000 0.70309000\nC 0.07201000 0.86590000 0.20309000\nC 0.09303000 0.23070000 0.46541000\nC 0.09303000 0.26930000 0.96541000\nC 0.16057000 0.71270000 0.33699000\nC 0.16057000 0.78730000 0.83699000\nC 0.17645000 0.71910000 0.70051000\nC 0.17645000 0.78090000 0.20051000\nC 0.22081000 0.70760000 0.26808000\nC 0.22081000 0.79240000 0.76808000\nC 0.27919000 0.29240000 0.76808000\nC 0.27919000 0.20760000 0.26808000\nC 0.32355000 0.21910000 0.70051000\nC 0.32355000 0.28090000 0.20051000\nC 0.33943000 0.21270000 0.33699000\nC 0.33943000 0.28730000 0.83699000\nC 0.40697000 0.73070000 0.46541000\nC 0.40697000 0.76930000 0.96541000\nC 0.42799000 0.13410000 0.70309000\nC 0.42799000 0.36590000 0.20309000\nC 0.44637000 0.20800000 0.83894000\nC 0.44637000 0.29200000 0.33894000\nC 0.48874000 0.37050000 0.27173000\nC 0.48874000 0.12950000 0.77173000\nC 0.49361000 0.23910000 0.98041000\nC 0.49361000 0.26090000 0.48041000\nC 0.50639000 0.73910000 0.51959000\nC 0.50639000 0.76090000 0.01959000\nC 0.51126000 0.62950000 0.72827000\nC 0.51126000 0.87050000 0.22827000\nC 0.55363000 0.70800000 0.66106000\nC 0.55363000 0.79200000 0.16106000\nC 0.57201000 0.63410000 0.79691000\nC 0.57201000 0.86590000 0.29691000\nC 0.59303000 0.23070000 0.03459000\nC 0.59303000 0.26930000 0.53459000\nC 0.66057000 0.71270000 0.16301000\nC 0.66057000 0.78730000 0.66301000\nC 0.67645000 0.71910000 0.79949000\nC 0.67645000 0.78090000 0.29949000\nC 0.72081000 0.70760000 0.23192000\nC 0.72081000 0.79240000 0.73192000\nC 0.77919000 0.20760000 0.23192000\nC 0.77919000 0.29240000 0.73192000\nC 0.82355000 0.21910000 0.79949000\nC 0.82355000 0.28090000 0.29949000\nC 0.83943000 0.21270000 0.16301000\nC 0.83943000 0.28730000 0.66301000\nC 0.90697000 0.73070000 0.03459000\nC 0.90697000 0.76930000 0.53459000\nC 0.92799000 0.13410000 0.79691000\nC 0.92799000 0.36590000 0.29691000\nC 0.94637000 0.20800000 0.66106000\nC 0.94637000 0.29200000 0.16106000\nC 0.98874000 0.12950000 0.72827000\nC 0.98874000 0.37050000 0.22827000\nC 0.99361000 0.23910000 0.51959000\nC 0.99361000 0.26090000 0.01959000\nH 0.04260000 0.57500000 0.65590000\nH 0.04260000 0.92500000 0.15590000\nH 0.06370000 0.07000000 0.72680000\nH 0.06370000 0.43000000 0.22680000\nH 0.06900000 0.19400000 0.41570000\nH 0.06900000 0.30600000 0.91570000\nH 0.08910000 0.19000000 0.60630000\nH 0.08910000 0.31000000 0.10630000\nH 0.12600000 0.15400000 0.95740000\nH 0.12600000 0.34600000 0.45740000\nH 0.15600000 0.16200000 0.48360000\nH 0.15600000 0.33800000 0.98360000\nH 0.18800000 0.72100000 0.59020000\nH 0.18800000 0.77900000 0.09020000\nH 0.19080000 0.66000000 0.38230000\nH 0.19080000 0.84000000 0.88230000\nH 0.20680000 0.15300000 0.26580000\nH 0.20680000 0.34700000 0.76580000\nH 0.29320000 0.65300000 0.26580000\nH 0.29320000 0.84700000 0.76580000\nH 0.30920000 0.16000000 0.38230000\nH 0.30920000 0.34000000 0.88230000\nH 0.31200000 0.22100000 0.59020000\nH 0.31200000 0.27900000 0.09020000\nH 0.34400000 0.66200000 0.48360000\nH 0.34400000 0.83800000 0.98360000\nH 0.37400000 0.65400000 0.95740000\nH 0.37400000 0.84600000 0.45740000\nH 0.41090000 0.69000000 0.60630000\nH 0.41090000 0.81000000 0.10630000\nH 0.43100000 0.69400000 0.41570000\nH 0.43100000 0.80600000 0.91570000\nH 0.43630000 0.57000000 0.72680000\nH 0.43630000 0.93000000 0.22680000\nH 0.45740000 0.07500000 0.65590000\nH 0.45740000 0.42500000 0.15590000\nH 0.54260000 0.57500000 0.84410000\nH 0.54260000 0.92500000 0.34410000\nH 0.56370000 0.07000000 0.77320000\nH 0.56370000 0.43000000 0.27320000\nH 0.56900000 0.19400000 0.08430000\nH 0.56900000 0.30600000 0.58430000\nH 0.58910000 0.19000000 0.89370000\nH 0.58910000 0.31000000 0.39370000\nH 0.62600000 0.15400000 0.54260000\nH 0.62600000 0.34600000 0.04260000\nH 0.65600000 0.16200000 0.01640000\nH 0.65600000 0.33800000 0.51640000\nH 0.68800000 0.72100000 0.90980000\nH 0.68800000 0.77900000 0.40980000\nH 0.69080000 0.66000000 0.11770000\nH 0.69080000 0.84000000 0.61770000\nH 0.70680000 0.15300000 0.23420000\nH 0.70680000 0.34700000 0.73420000\nH 0.79320000 0.65300000 0.23420000\nH 0.79320000 0.84700000 0.73420000\nH 0.80920000 0.16000000 0.11770000\nH 0.80920000 0.34000000 0.61770000\nH 0.81200000 0.22100000 0.90980000\nH 0.81200000 0.27900000 0.40980000\nH 0.84400000 0.66200000 0.01640000\nH 0.84400000 0.83800000 0.51640000\nH 0.87400000 0.65400000 0.54260000\nH 0.87400000 0.84600000 0.04260000\nH 0.91090000 0.69000000 0.89370000\nH 0.91090000 0.81000000 0.39370000\nH 0.93100000 0.69400000 0.08430000\nH 0.93100000 0.80600000 0.58430000\nH 0.93630000 0.57000000 0.77320000\nH 0.93630000 0.93000000 0.27320000\nH 0.95740000 0.07500000 0.84410000\nH 0.95740000 0.42500000 0.34410000\nN 0.01806000 0.20908000 0.59458000\nN 0.01806000 0.29092000 0.09458000\nN 0.48194000 0.70908000 0.59458000\nN 0.48194000 0.79092000 0.09458000\nN 0.51806000 0.20908000 0.90542000\nN 0.51806000 0.29092000 0.40542000\nN 0.98194000 0.70908000 0.90542000\nN 0.98194000 0.79092000 0.40542000\nO 0.10325000 0.72850000 0.50299000\nO 0.10325000 0.77150000 0.00299000\nO 0.23691000 0.73072000 0.63243000\nO 0.23691000 0.76928000 0.13243000\nO 0.26309000 0.23072000 0.63243000\nO 0.26309000 0.26928000 0.13243000\nO 0.39675000 0.27150000 0.00299000\nO 0.39675000 0.22850000 0.50299000\nO 0.60325000 0.77150000 0.49701000\nO 0.60325000 0.72850000 0.99701000\nO 0.73691000 0.73072000 0.86757000\nO 0.73691000 0.76928000 0.36757000\nO 0.76309000 0.23072000 0.86757000\nO 0.76309000 0.26928000 0.36757000\nO 0.89675000 0.22850000 0.99701000\nO 0.89675000 0.27150000 0.49701000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "5.15",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "10.31",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "12.74",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "14.97",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-PENTACENE",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentacene (triclinic, COD 2012157). Treat the crystal as infinite and periodic. Around the C atom at fractional (0.0332, 0.9463, 0.1004), how many C atoms lie at the shortest C–C distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断 π 堆积强弱。",
   "inputs": [
    {
     "name": "FA-COORD-PENTACENE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "pentacene (triclinic, COD 2012157); cell a = 6.26600 b = 7.77500 c = 14.53000 angstrom, alpha = 76.475 beta = 87.682 gamma = 84.684 degree; 72 atoms; element x y z (fractional)\nC 0.03320000 0.94630000 0.10040000\nC 0.05480000 0.29130000 0.30200000\nC 0.05550000 0.88940000 0.19850000\nC 0.06810000 0.26810000 0.64360000\nC 0.09570000 0.20830000 0.74460000\nC 0.09670000 0.17410000 0.38510000\nC 0.15480000 0.09910000 0.94180000\nC 0.17550000 0.44360000 0.14320000\nC 0.18140000 0.04420000 0.04080000\nC 0.21310000 0.36360000 0.58860000\nC 0.21320000 0.32160000 0.22830000\nC 0.27970000 0.25300000 0.78710000\nC 0.29860000 0.07640000 0.40090000\nC 0.30060000 0.59650000 0.98510000\nC 0.30540000 0.19860000 0.88280000\nC 0.33590000 0.47150000 0.07090000\nC 0.40100000 0.40790000 0.62960000\nC 0.42000000 0.22120000 0.24430000\nC 0.42240000 0.75300000 0.82640000\nC 0.43100000 0.35420000 0.72460000\nC 0.45510000 0.09790000 0.33270000\nC 0.45900000 0.62810000 0.91360000\nC 0.54100000 0.37190000 0.08640000\nC 0.54490000 0.90210000 0.66730000\nC 0.56900000 0.64580000 0.27540000\nC 0.57760000 0.24700000 0.17360000\nC 0.58000000 0.77880000 0.75570000\nC 0.59900000 0.59210000 0.37040000\nC 0.66410000 0.52850000 0.92910000\nC 0.69460000 0.80140000 0.11720000\nC 0.69940000 0.40350000 0.01490000\nC 0.70140000 0.92360000 0.59910000\nC 0.72030000 0.74700000 0.21290000\nC 0.78680000 0.67840000 0.77170000\nC 0.78690000 0.63640000 0.41140000\nC 0.81860000 0.95580000 0.95920000\nC 0.82450000 0.55640000 0.85680000\nC 0.84520000 0.90090000 0.05820000\nC 0.90330000 0.82590000 0.61490000\nC 0.90430000 0.79170000 0.25540000\nC 0.93190000 0.73190000 0.35640000\nC 0.94450000 0.11060000 0.80150000\nC 0.94520000 0.70870000 0.69800000\nC 0.96680000 0.05370000 0.89960000\nH 0.00866000 0.84242000 0.56745000\nH 0.04263000 0.50821000 0.13324000\nH 0.05188000 0.75986000 0.38370000\nH 0.07976000 0.64671000 0.70717000\nH 0.16753000 0.66085000 0.97521000\nH 0.17444000 0.91773000 0.22636000\nH 0.19243000 0.40143000 0.52375000\nH 0.29042000 0.81894000 0.81632000\nH 0.30151000 0.07431000 0.06712000\nH 0.32476000 0.99649000 0.45863000\nH 0.41351000 0.96878000 0.65611000\nH 0.42529000 0.22804000 0.90955000\nH 0.44720000 0.61632000 0.25000000\nH 0.49848000 0.52694000 0.40892000\nH 0.50152000 0.47306000 0.59108000\nH 0.55280000 0.38368000 0.75000000\nH 0.57471000 0.77196000 0.09045000\nH 0.58649000 0.03122000 0.34389000\nH 0.67524000 0.00351000 0.54137000\nH 0.69849000 0.92569000 0.93288000\nH 0.70958000 0.18106000 0.18368000\nH 0.80757000 0.59857000 0.47625000\nH 0.82556000 0.08227000 0.77364000\nH 0.83247000 0.33915000 0.02479000\nH 0.92024000 0.35329000 0.29283000\nH 0.94812000 0.24014000 0.61630000\nH 0.95737000 0.49179000 0.86676000\nH 0.99134000 0.15758000 0.43255000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 1.399 Å"
    },
    {
     "label": "B",
     "value": "2 at 1.396 Å"
    },
    {
     "label": "C",
     "value": "1 at 1.396 Å"
    },
    {
     "label": "D",
     "value": "3 at 1.396 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-PENTACENE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentacene (triclinic, COD 2012157). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断 π 堆积强弱。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-PENTACENE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "pentacene (triclinic, COD 2012157); cell a = 6.26600 b = 7.77500 c = 14.53000 angstrom, alpha = 76.475 beta = 87.682 gamma = 84.684 degree; 72 atoms; element x y z (fractional)\nC 0.03320000 0.94630000 0.10040000\nC 0.05480000 0.29130000 0.30200000\nC 0.05550000 0.88940000 0.19850000\nC 0.06810000 0.26810000 0.64360000\nC 0.09570000 0.20830000 0.74460000\nC 0.09670000 0.17410000 0.38510000\nC 0.15480000 0.09910000 0.94180000\nC 0.17550000 0.44360000 0.14320000\nC 0.18140000 0.04420000 0.04080000\nC 0.21310000 0.36360000 0.58860000\nC 0.21320000 0.32160000 0.22830000\nC 0.27970000 0.25300000 0.78710000\nC 0.29860000 0.07640000 0.40090000\nC 0.30060000 0.59650000 0.98510000\nC 0.30540000 0.19860000 0.88280000\nC 0.33590000 0.47150000 0.07090000\nC 0.40100000 0.40790000 0.62960000\nC 0.42000000 0.22120000 0.24430000\nC 0.42240000 0.75300000 0.82640000\nC 0.43100000 0.35420000 0.72460000\nC 0.45510000 0.09790000 0.33270000\nC 0.45900000 0.62810000 0.91360000\nC 0.54100000 0.37190000 0.08640000\nC 0.54490000 0.90210000 0.66730000\nC 0.56900000 0.64580000 0.27540000\nC 0.57760000 0.24700000 0.17360000\nC 0.58000000 0.77880000 0.75570000\nC 0.59900000 0.59210000 0.37040000\nC 0.66410000 0.52850000 0.92910000\nC 0.69460000 0.80140000 0.11720000\nC 0.69940000 0.40350000 0.01490000\nC 0.70140000 0.92360000 0.59910000\nC 0.72030000 0.74700000 0.21290000\nC 0.78680000 0.67840000 0.77170000\nC 0.78690000 0.63640000 0.41140000\nC 0.81860000 0.95580000 0.95920000\nC 0.82450000 0.55640000 0.85680000\nC 0.84520000 0.90090000 0.05820000\nC 0.90330000 0.82590000 0.61490000\nC 0.90430000 0.79170000 0.25540000\nC 0.93190000 0.73190000 0.35640000\nC 0.94450000 0.11060000 0.80150000\nC 0.94520000 0.70870000 0.69800000\nC 0.96680000 0.05370000 0.89960000\nH 0.00866000 0.84242000 0.56745000\nH 0.04263000 0.50821000 0.13324000\nH 0.05188000 0.75986000 0.38370000\nH 0.07976000 0.64671000 0.70717000\nH 0.16753000 0.66085000 0.97521000\nH 0.17444000 0.91773000 0.22636000\nH 0.19243000 0.40143000 0.52375000\nH 0.29042000 0.81894000 0.81632000\nH 0.30151000 0.07431000 0.06712000\nH 0.32476000 0.99649000 0.45863000\nH 0.41351000 0.96878000 0.65611000\nH 0.42529000 0.22804000 0.90955000\nH 0.44720000 0.61632000 0.25000000\nH 0.49848000 0.52694000 0.40892000\nH 0.50152000 0.47306000 0.59108000\nH 0.55280000 0.38368000 0.75000000\nH 0.57471000 0.77196000 0.09045000\nH 0.58649000 0.03122000 0.34389000\nH 0.67524000 0.00351000 0.54137000\nH 0.69849000 0.92569000 0.93288000\nH 0.70958000 0.18106000 0.18368000\nH 0.80757000 0.59857000 0.47625000\nH 0.82556000 0.08227000 0.77364000\nH 0.83247000 0.33915000 0.02479000\nH 0.92024000 0.35329000 0.29283000\nH 0.94812000 0.24014000 0.61630000\nH 0.95737000 0.49179000 0.86676000\nH 0.99134000 0.15758000 0.43255000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "3.13",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "6.25",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "14.12",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "24.05",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-HAP",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of hydroxylapatite (Ca5(PO4)3OH, COD 1011242). Treat the crystal as infinite and periodic. Around the P atom at fractional (0.0560, 0.4170, 0.7500), how many O atoms lie at the shortest P–O distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "晶胞对称展开；全占位条目。",
   "inputs": [
    {
     "name": "FA-COORD-HAP-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "hydroxylapatite (Ca5(PO4)3OH, COD 1011242); cell a = 9.40000 b = 9.40000 c = 6.93000 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 42 atoms; element x y z (fractional)\nCa 0.00000000 0.25000000 0.25000000\nCa 0.00000000 0.75000000 0.75000000\nCa 0.25000000 0.00000000 0.25000000\nCa 0.25000000 0.25000000 0.75000000\nCa 0.33333333 0.66666667 0.00000000\nCa 0.33333333 0.66666667 0.50000000\nCa 0.66666667 0.33333333 0.00000000\nCa 0.66666667 0.33333333 0.50000000\nCa 0.75000000 0.00000000 0.75000000\nCa 0.75000000 0.75000000 0.25000000\nO 0.00000000 0.00000000 0.25000000\nO 0.00000000 0.00000000 0.75000000\nO 0.08300000 0.33300000 0.56300000\nO 0.08300000 0.33300000 0.93700000\nO 0.13300000 0.60000000 0.75000000\nO 0.16700000 0.66700000 0.25000000\nO 0.25000000 0.91700000 0.56300000\nO 0.25000000 0.91700000 0.93700000\nO 0.33300000 0.25000000 0.06300000\nO 0.33300000 0.25000000 0.43700000\nO 0.33300000 0.50000000 0.25000000\nO 0.40000000 0.53300000 0.75000000\nO 0.46700000 0.86700000 0.75000000\nO 0.50000000 0.16700000 0.75000000\nO 0.50000000 0.83300000 0.25000000\nO 0.53300000 0.13300000 0.25000000\nO 0.60000000 0.46700000 0.25000000\nO 0.66700000 0.50000000 0.75000000\nO 0.66700000 0.75000000 0.56300000\nO 0.66700000 0.75000000 0.93700000\nO 0.75000000 0.08300000 0.06300000\nO 0.75000000 0.08300000 0.43700000\nO 0.83300000 0.33300000 0.75000000\nO 0.86700000 0.40000000 0.25000000\nO 0.91700000 0.66700000 0.06300000\nO 0.91700000 0.66700000 0.43700000\nP 0.05600000 0.41700000 0.75000000\nP 0.36100000 0.94400000 0.75000000\nP 0.41700000 0.36100000 0.25000000\nP 0.58300000 0.63900000 0.75000000\nP 0.63900000 0.05600000 0.25000000\nP 0.94400000 0.58300000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "2 at 1.496 Å"
    },
    {
     "label": "B",
     "value": "2 at 4.146 Å"
    },
    {
     "label": "C",
     "value": "2 at 1.602 Å"
    },
    {
     "label": "D",
     "value": "1 at 1.496 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-HAP",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of hydroxylapatite (Ca5(PO4)3OH, COD 1011242). Use the kinematic structure factor with atomic numbers as angle-independent weights (Ca = 20, O = 8, P = 15). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；全占位条目。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-HAP-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "hydroxylapatite (Ca5(PO4)3OH, COD 1011242); cell a = 9.40000 b = 9.40000 c = 6.93000 angstrom, alpha = 90.000 beta = 90.000 gamma = 120.000 degree; 42 atoms; element x y z (fractional)\nCa 0.00000000 0.25000000 0.25000000\nCa 0.00000000 0.75000000 0.75000000\nCa 0.25000000 0.00000000 0.25000000\nCa 0.25000000 0.25000000 0.75000000\nCa 0.33333333 0.66666667 0.00000000\nCa 0.33333333 0.66666667 0.50000000\nCa 0.66666667 0.33333333 0.00000000\nCa 0.66666667 0.33333333 0.50000000\nCa 0.75000000 0.00000000 0.75000000\nCa 0.75000000 0.75000000 0.25000000\nO 0.00000000 0.00000000 0.25000000\nO 0.00000000 0.00000000 0.75000000\nO 0.08300000 0.33300000 0.56300000\nO 0.08300000 0.33300000 0.93700000\nO 0.13300000 0.60000000 0.75000000\nO 0.16700000 0.66700000 0.25000000\nO 0.25000000 0.91700000 0.56300000\nO 0.25000000 0.91700000 0.93700000\nO 0.33300000 0.25000000 0.06300000\nO 0.33300000 0.25000000 0.43700000\nO 0.33300000 0.50000000 0.25000000\nO 0.40000000 0.53300000 0.75000000\nO 0.46700000 0.86700000 0.75000000\nO 0.50000000 0.16700000 0.75000000\nO 0.50000000 0.83300000 0.25000000\nO 0.53300000 0.13300000 0.25000000\nO 0.60000000 0.46700000 0.25000000\nO 0.66700000 0.50000000 0.75000000\nO 0.66700000 0.75000000 0.56300000\nO 0.66700000 0.75000000 0.93700000\nO 0.75000000 0.08300000 0.06300000\nO 0.75000000 0.08300000 0.43700000\nO 0.83300000 0.33300000 0.75000000\nO 0.86700000 0.40000000 0.25000000\nO 0.91700000 0.66700000 0.06300000\nO 0.91700000 0.66700000 0.43700000\nP 0.05600000 0.41700000 0.75000000\nP 0.36100000 0.94400000 0.75000000\nP 0.41700000 0.36100000 0.25000000\nP 0.58300000 0.63900000 0.75000000\nP 0.63900000 0.05600000 0.25000000\nP 0.94400000 0.58300000 0.25000000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "5.43",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "9.40",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "10.86",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "21.82",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-COORD-ARAGONITE",
   "family": "coordination_shell",
   "ability": "perception",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of aragonite (CaCO3, COD 2100187). Treat the crystal as infinite and periodic. Around the Ca atom at fractional (0.2500, 0.0850, 0.2599), how many O atoms lie at the shortest Ca–O distance (atoms within 0.001 Å of it count as the same distance), and what is that distance? Distances are rounded to 0.001 Å.",
   "scope": "晶胞对称展开；文石型碳酸钙。",
   "inputs": [
    {
     "name": "FA-COORD-ARAGONITE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "aragonite (CaCO3, COD 2100187); cell a = 4.96183 b = 7.96914 c = 5.74285 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 20 atoms; element x y z (fractional)\nC 0.25000000 0.73806000 0.41760000\nC 0.25000000 0.76194000 0.91760000\nC 0.75000000 0.23806000 0.08240000\nC 0.75000000 0.26194000 0.58240000\nCa 0.25000000 0.08498000 0.25985000\nCa 0.25000000 0.41502000 0.75985000\nCa 0.75000000 0.58498000 0.24015000\nCa 0.75000000 0.91502000 0.74015000\nO 0.02501000 0.68012000 0.91275000\nO 0.02501000 0.81988000 0.41275000\nO 0.25000000 0.57762000 0.40547000\nO 0.25000000 0.92238000 0.90547000\nO 0.47499000 0.68012000 0.91275000\nO 0.47499000 0.81988000 0.41275000\nO 0.52501000 0.18012000 0.58725000\nO 0.52501000 0.31988000 0.08725000\nO 0.75000000 0.07762000 0.09453000\nO 0.75000000 0.42238000 0.59453000\nO 0.97499000 0.18012000 0.58725000\nO 0.97499000 0.31988000 0.08725000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "1 at 2.413 Å"
    },
    {
     "label": "B",
     "value": "2 at 3.894 Å"
    },
    {
     "label": "C",
     "value": "9 at 2.413 Å"
    },
    {
     "label": "D",
     "value": "2 at 2.444 Å"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-PEAK-ARAGONITE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of aragonite (CaCO3, COD 2100187). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, Ca = 20, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；文石型碳酸钙。 运动学模型、原子序数权重；Cu Kα。",
   "inputs": [
    {
     "name": "FA-PEAK-ARAGONITE-cell.txt",
     "format": "fractional-cell-table",
     "unit": "fractional; a in angstrom",
     "text": "aragonite (CaCO3, COD 2100187); cell a = 4.96183 b = 7.96914 c = 5.74285 angstrom, alpha = 90.000 beta = 90.000 gamma = 90.000 degree; 20 atoms; element x y z (fractional)\nC 0.25000000 0.73806000 0.41760000\nC 0.25000000 0.76194000 0.91760000\nC 0.75000000 0.23806000 0.08240000\nC 0.75000000 0.26194000 0.58240000\nCa 0.25000000 0.08498000 0.25985000\nCa 0.25000000 0.41502000 0.75985000\nCa 0.75000000 0.58498000 0.24015000\nCa 0.75000000 0.91502000 0.74015000\nO 0.02501000 0.68012000 0.91275000\nO 0.02501000 0.81988000 0.41275000\nO 0.25000000 0.57762000 0.40547000\nO 0.25000000 0.92238000 0.90547000\nO 0.47499000 0.68012000 0.91275000\nO 0.47499000 0.81988000 0.41275000\nO 0.52501000 0.18012000 0.58725000\nO 0.52501000 0.31988000 0.08725000\nO 0.75000000 0.07762000 0.09453000\nO 0.75000000 0.42238000 0.59453000\nO 0.97499000 0.18012000 0.58725000\nO 0.97499000 0.31988000 0.08725000\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "19.03",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "21.07",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "25.37",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "76.78",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1A6M-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain A from PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Leu2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "1A6M-A2-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   VAL A   1      -4.004  15.224  13.636  1.00 32.64           N\nATOM      2  CA  VAL A   1      -3.526  15.758  14.900  1.00 18.42           C\nATOM      3  C   VAL A   1      -2.662  14.733  15.628  1.00 17.06           C\nATOM      4  O   VAL A   1      -3.053  13.569  15.714  1.00 18.61           O\nATOM      5  CB  VAL A   1      -4.657  16.165  15.809  1.00 29.90           C\nATOM      6  CG1 VAL A   1      -4.300  16.250  17.293  1.00 39.77           C\nATOM      7  CG2 VAL A   1      -5.280  17.488  15.346  1.00 37.48           C\nATOM      8  N   LEU A   2      -1.505  15.117  16.120  1.00 12.20           N\nATOM      9  CA  LEU A   2      -0.689  14.190  16.862  1.00 11.02           C\nATOM     10  C   LEU A   2      -1.259  13.996  18.256  1.00 10.93           C\nATOM     11  O   LEU A   2      -1.749  14.945  18.871  1.00 13.56           O\nATOM     12  CB  LEU A   2       0.775  14.633  17.025  1.00 10.42           C\nATOM     13  CG  LEU A   2       1.674  14.423  15.779  1.00 10.30           C\nATOM     14  CD1 LEU A   2       1.342  15.352  14.633  1.00 10.58           C\nATOM     15  CD2 LEU A   2       3.133  14.550  16.182  1.00 10.23           C\nATOM     16  N   SER A   3      -1.138  12.783  18.784  1.00 10.83           N\nATOM     17  CA  SER A   3      -1.487  12.495  20.143  1.00 11.06           C\nATOM     18  C   SER A   3      -0.388  12.993  21.067  1.00 10.21           C\nATOM     19  O   SER A   3       0.759  13.220  20.653  1.00  9.54           O\nATOM     20  CB  SER A   3      -1.657  10.992  20.369  1.00 12.39           C\nATOM     21  OG  SER A   3      -0.398  10.378  20.188  1.00 12.37           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "76.0",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "104.0",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "145.3",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "-76.0",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1A6M-SS-6",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 5–7 of chain A from PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of Glu6 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does Glu6 adopt?",
   "scope": "只含残基 5–7 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "1A6M-A6-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM     36  N   GLY A   5       1.152  11.081  23.082  1.00 11.50           N\nATOM     37  CA  GLY A   5       2.196  10.084  23.022  1.00 11.46           C\nATOM     38  C   GLY A   5       3.092  10.319  21.831  1.00 10.28           C\nATOM     39  O   GLY A   5       4.331  10.166  21.921  1.00 10.90           O\nATOM     40  N   GLU A   6       2.530  10.707  20.701  1.00  9.60           N\nATOM     41  CA  GLU A   6       3.317  10.981  19.508  1.00  8.59           C\nATOM     42  C   GLU A   6       4.216  12.212  19.738  1.00  8.27           C\nATOM     43  O   GLU A   6       5.407  12.201  19.382  1.00  8.13           O\nATOM     44  CB  GLU A   6       2.436  11.114  18.299  1.00  9.28           C\nATOM     45  CG  GLU A   6       1.836   9.783  17.836  1.00 10.32           C\nATOM     46  CD  GLU A   6       0.640   9.901  16.938  1.00 10.53           C\nATOM     47  OE1 GLU A   6      -0.054  10.927  16.857  1.00 11.96           O\nATOM     48  OE2 GLU A   6       0.421   8.888  16.190  1.00 13.21           O\nATOM     49  N   TRP A   7       3.651  13.267  20.337  1.00  8.05           N\nATOM     50  CA  TRP A   7       4.502  14.431  20.597  1.00  7.73           C\nATOM     51  C   TRP A   7       5.632  14.073  21.526  1.00  7.66           C\nATOM     52  O   TRP A   7       6.744  14.594  21.371  1.00  7.92           O\nATOM     53  CB  TRP A   7       3.706  15.598  21.221  1.00  8.14           C\nATOM     54  CG  TRP A   7       2.872  16.333  20.230  1.00  7.82           C\nATOM     55  CD1 TRP A   7       1.502  16.500  20.248  1.00  8.69           C\nATOM     56  CD2 TRP A   7       3.329  17.061  19.069  1.00  8.13           C\nATOM     57  NE1 TRP A   7       1.094  17.244  19.198  1.00  8.97           N\nATOM     58  CE2 TRP A   7       2.200  17.590  18.424  1.00  8.26           C\nATOM     59  CE3 TRP A   7       4.601  17.287  18.504  1.00  8.19           C\nATOM     60  CZ2 TRP A   7       2.288  18.311  17.249  1.00  9.06           C\nATOM     61  CZ3 TRP A   7       4.661  18.015  17.327  1.00  8.82           C\nATOM     62  CH2 TRP A   7       3.519  18.527  16.711  1.00  9.06           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "β-strand"
    },
    {
     "label": "B",
     "value": "right-handed α-helix"
    },
    {
     "label": "C",
     "value": "polyproline II"
    },
    {
     "label": "D",
     "value": "left-handed α-helix"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1A6M-FRET-1-15",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), copied unchanged. Model a FRET donor as a point at atom CA of Val1 and an acceptor as a point at atom CA of Ala15. Assume a Förster radius R0 = 2.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "inputs": [
    {
     "name": "1A6M-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   VAL A   1      -4.004  15.224  13.636  1.00 32.64           N\nATOM      2  CA  VAL A   1      -3.526  15.758  14.900  1.00 18.42           C\nATOM      3  C   VAL A   1      -2.662  14.733  15.628  1.00 17.06           C\nATOM      4  O   VAL A   1      -3.053  13.569  15.714  1.00 18.61           O\nATOM      5  CB  VAL A   1      -4.657  16.165  15.809  1.00 29.90           C\nATOM      6  CG1 VAL A   1      -4.300  16.250  17.293  1.00 39.77           C\nATOM      7  CG2 VAL A   1      -5.280  17.488  15.346  1.00 37.48           C\nATOM      8  N   LEU A   2      -1.505  15.117  16.120  1.00 12.20           N\nATOM      9  CA  LEU A   2      -0.689  14.190  16.862  1.00 11.02           C\nATOM     10  C   LEU A   2      -1.259  13.996  18.256  1.00 10.93           C\nATOM     11  O   LEU A   2      -1.749  14.945  18.871  1.00 13.56           O\nATOM     12  CB  LEU A   2       0.775  14.633  17.025  1.00 10.42           C\nATOM     13  CG  LEU A   2       1.674  14.423  15.779  1.00 10.30           C\nATOM     14  CD1 LEU A   2       1.342  15.352  14.633  1.00 10.58           C\nATOM     15  CD2 LEU A   2       3.133  14.550  16.182  1.00 10.23           C\nATOM     16  N   SER A   3      -1.138  12.783  18.784  1.00 10.83           N\nATOM     17  CA  SER A   3      -1.487  12.495  20.143  1.00 11.06           C\nATOM     18  C   SER A   3      -0.388  12.993  21.067  1.00 10.21           C\nATOM     19  O   SER A   3       0.759  13.220  20.653  1.00  9.54           O\nATOM     20  CB  SER A   3      -1.657  10.992  20.369  1.00 12.39           C\nATOM     21  OG  SER A   3      -0.398  10.378  20.188  1.00 12.37           O\nATOM     22  N   GLU A   4      -0.696  13.041  22.357  1.00 10.95           N\nATOM     23  CA  GLU A   4       0.324  13.366  23.335  1.00 11.34           C\nATOM     24  C   GLU A   4       1.454  12.362  23.271  1.00 10.71           C\nATOM     25  O   GLU A   4       2.652  12.739  23.385  1.00 10.83           O\nATOM     26  CB AGLU A   4      -0.240  13.427  24.764  0.57 12.43           C\nATOM     28  CG AGLU A   4      -0.998  14.701  25.049  0.57 13.70           C\nATOM     30  CD AGLU A   4      -0.235  16.019  25.130  0.57 12.95           C\nATOM     32  OE1AGLU A   4       0.997  15.968  25.169  0.57 16.22           O\nATOM     34  OE2AGLU A   4      -0.894  17.080  25.119  0.57 12.43           O\nATOM     36  N   GLY A   5       1.152  11.081  23.082  1.00 11.50           N\nATOM     37  CA  GLY A   5       2.196  10.084  23.022  1.00 11.46           C\nATOM     38  C   GLY A   5       3.092  10.319  21.831  1.00 10.28           C\nATOM     39  O   GLY A   5       4.331  10.166  21.921  1.00 10.90           O\nATOM     40  N   GLU A   6       2.530  10.707  20.701  1.00  9.60           N\nATOM     41  CA  GLU A   6       3.317  10.981  19.508  1.00  8.59           C\nATOM     42  C   GLU A   6       4.216  12.212  19.738  1.00  8.27           C\nATOM     43  O   GLU A   6       5.407  12.201  19.382  1.00  8.13           O\nATOM     44  CB  GLU A   6       2.436  11.114  18.299  1.00  9.28           C\nATOM     45  CG  GLU A   6       1.836   9.783  17.836  1.00 10.32           C\nATOM     46  CD  GLU A   6       0.640   9.901  16.938  1.00 10.53           C\nATOM     47  OE1 GLU A   6      -0.054  10.927  16.857  1.00 11.96           O\nATOM     48  OE2 GLU A   6       0.421   8.888  16.190  1.00 13.21           O\nATOM     49  N   TRP A   7       3.651  13.267  20.337  1.00  8.05           N\nATOM     50  CA  TRP A   7       4.502  14.431  20.597  1.00  7.73           C\nATOM     51  C   TRP A   7       5.632  14.073  21.526  1.00  7.66           C\nATOM     52  O   TRP A   7       6.744  14.594  21.371  1.00  7.92           O\nATOM     53  CB  TRP A   7       3.706  15.598  21.221  1.00  8.14           C\nATOM     54  CG  TRP A   7       2.872  16.333  20.230  1.00  7.82           C\nATOM     55  CD1 TRP A   7       1.502  16.500  20.248  1.00  8.69           C\nATOM     56  CD2 TRP A   7       3.329  17.061  19.069  1.00  8.13           C\nATOM     57  NE1 TRP A   7       1.094  17.244  19.198  1.00  8.97           N\nATOM     58  CE2 TRP A   7       2.200  17.590  18.424  1.00  8.26           C\nATOM     59  CE3 TRP A   7       4.601  17.287  18.504  1.00  8.19           C\nATOM     60  CZ2 TRP A   7       2.288  18.311  17.249  1.00  9.06           C\nATOM     61  CZ3 TRP A   7       4.661  18.015  17.327  1.00  8.82           C\nATOM     62  CH2 TRP A   7       3.519  18.527  16.711  1.00  9.06           C\nATOM     63  N   GLN A   8       5.404  13.203  22.532  1.00  8.42           N\nATOM     64  CA  GLN A   8       6.475  12.812  23.418  1.00  8.84           C\nATOM     65  C   GLN A   8       7.602  12.149  22.631  1.00  8.08           C\nATOM     66  O   GLN A   8       8.769  12.399  22.918  1.00  8.39           O\nATOM     67  CB AGLN A   8       5.987  11.822  24.520  0.57 13.03           C\nATOM     69  CG AGLN A   8       7.030  11.303  25.506  0.57 16.30           C\nATOM     71  CD AGLN A   8       7.981  10.227  25.063  0.57 15.61           C\nATOM     73  OE1AGLN A   8       7.688   9.392  24.214  0.57 19.54           O\nATOM     75  NE2AGLN A   8       9.219  10.114  25.607  0.57 21.38           N\nATOM     77  N   LEU A   9       7.271  11.269  21.697  1.00  8.05           N\nATOM     78  CA  LEU A   9       8.296  10.604  20.915  1.00  8.31           C\nATOM     79  C   LEU A   9       9.080  11.630  20.080  1.00  7.19           C\nATOM     80  O   LEU A   9      10.311  11.526  19.962  1.00  7.98           O\nATOM     81  CB  LEU A   9       7.677   9.576  19.969  1.00  9.04           C\nATOM     82  CG  LEU A   9       7.090   8.338  20.698  1.00 10.56           C\nATOM     83  CD1 LEU A   9       6.290   7.498  19.721  1.00 12.91           C\nATOM     84  CD2 LEU A   9       8.189   7.510  21.315  1.00 16.75           C\nATOM     85  N   VAL A  10       8.391  12.589  19.483  1.00  6.70           N\nATOM     86  CA  VAL A  10       9.019  13.628  18.670  1.00  6.25           C\nATOM     87  C   VAL A  10       9.985  14.459  19.507  1.00  6.24           C\nATOM     88  O   VAL A  10      11.112  14.709  19.141  1.00  6.75           O\nATOM     89  CB  VAL A  10       7.906  14.535  18.052  1.00  7.02           C\nATOM     90  CG1 VAL A  10       8.475  15.796  17.444  1.00  7.41           C\nATOM     91  CG2 VAL A  10       7.135  13.774  17.013  1.00  8.05           C\nATOM     92  N   LEU A  11       9.496  14.935  20.665  1.00  6.59           N\nATOM     93  CA  LEU A  11      10.311  15.860  21.464  1.00  6.79           C\nATOM     94  C   LEU A  11      11.405  15.117  22.206  1.00  7.49           C\nATOM     95  O   LEU A  11      12.435  15.729  22.535  1.00  7.77           O\nATOM     96  CB  LEU A  11       9.398  16.675  22.380  1.00  7.20           C\nATOM     97  CG  LEU A  11       8.452  17.599  21.622  1.00  7.75           C\nATOM     98  CD1 LEU A  11       7.562  18.324  22.581  1.00 10.63           C\nATOM     99  CD2 LEU A  11       9.209  18.598  20.733  1.00  9.58           C\nATOM    100  N   HIS A  12      11.249  13.803  22.447  1.00  7.77           N\nATOM    101  CA  HIS A  12      12.315  13.068  23.090  1.00  8.05           C\nATOM    102  C   HIS A  12      13.533  12.989  22.201  1.00  8.46           C\nATOM    103  O   HIS A  12      14.671  13.235  22.601  1.00  9.54           O\nATOM    104  CB  HIS A  12      11.788  11.644  23.466  1.00  8.43           C\nATOM    105  CG  HIS A  12      12.823  10.884  24.224  1.00  9.77           C\nATOM    106  ND1 HIS A  12      13.125  11.179  25.545  1.00 11.02           N\nATOM    107  CD2 HIS A  12      13.656   9.887  23.824  1.00 11.76           C\nATOM    108  CE1 HIS A  12      14.111  10.350  25.940  1.00 15.22           C\nATOM    109  NE2 HIS A  12      14.435   9.581  24.928  1.00 15.14           N\nATOM    110  N   VAL A  13      13.310  12.664  20.898  1.00  7.78           N\nATOM    111  CA  VAL A  13      14.421  12.632  19.976  1.00  7.64           C\nATOM    112  C   VAL A  13      14.900  14.037  19.684  1.00  7.31           C\nATOM    113  O   VAL A  13      16.121  14.274  19.540  1.00  7.96           O\nATOM    114  CB  VAL A  13      14.152  11.821  18.707  1.00  8.17           C\nATOM    115  CG1 VAL A  13      13.174  12.491  17.765  1.00  8.68           C\nATOM    116  CG2 VAL A  13      15.457  11.534  17.967  1.00  8.55           C\nATOM    117  N   TRP A  14      14.026  15.041  19.628  1.00  6.96           N\nATOM    118  CA  TRP A  14      14.480  16.388  19.359  1.00  7.58           C\nATOM    119  C   TRP A  14      15.401  16.876  20.452  1.00  7.72           C\nATOM    120  O   TRP A  14      16.345  17.655  20.180  1.00  8.85           O\nATOM    121  CB  TRP A  14      13.282  17.343  19.125  1.00  7.91           C\nATOM    122  CG  TRP A  14      13.798  18.571  18.460  1.00  9.93           C\nATOM    123  CD1 TRP A  14      14.145  19.736  19.056  1.00 15.11           C\nATOM    124  CD2 TRP A  14      14.170  18.677  17.092  1.00 11.49           C\nATOM    125  NE1 TRP A  14      14.662  20.607  18.089  1.00 19.61           N\nATOM    126  CE2 TRP A  14      14.689  19.976  16.899  1.00 16.96           C\nATOM    127  CE3 TRP A  14      14.073  17.788  16.004  1.00 13.31           C\nATOM    128  CZ2 TRP A  14      15.122  20.460  15.657  1.00 23.85           C\nATOM    129  CZ3 TRP A  14      14.528  18.244  14.764  1.00 20.18           C\nATOM    130  CH2 TRP A  14      15.013  19.534  14.674  1.00 25.35           C\nATOM    131  N   ALA A  15      15.160  16.481  21.704  1.00  8.62           N\nATOM    132  CA  ALA A  15      16.044  16.935  22.798  1.00  9.97           C\nATOM    133  C   ALA A  15      17.446  16.401  22.586  1.00  9.59           C\nATOM    134  O   ALA A  15      18.434  17.009  23.033  1.00 11.62           O\nATOM    135  CB  ALA A  15      15.450  16.520  24.118  1.00 13.42           C\nATOM    136  N   LYS A  16      17.595  15.248  21.924  1.00  8.81           N\nATOM    137  CA  LYS A  16      18.881  14.660  21.558  1.00  9.00           C\nATOM    138  C   LYS A  16      19.537  15.498  20.452  1.00  9.36           C\nATOM    139  O   LYS A  16      20.752  15.765  20.433  1.00 15.85           O\nATOM    140  CB  LYS A  16      18.795  13.247  21.070  1.00  9.41           C\nATOM    141  CG  LYS A  16      18.109  12.225  21.958  1.00 10.31           C\nATOM    142  CD  LYS A  16      18.777  12.045  23.271  1.00 11.08           C\nATOM    143  CE  LYS A  16      18.109  10.968  24.117  1.00 12.02           C\nATOM    144  NZ  LYS A  16      18.878  10.680  25.328  1.00 15.35           N\nATOM    145  N   VAL A  17      18.768  16.035  19.524  1.00 10.26           N\nATOM    146  CA  VAL A  17      19.269  16.901  18.449  1.00 11.55           C\nATOM    147  C   VAL A  17      19.876  18.147  18.968  1.00 12.93           C\nATOM    148  O   VAL A  17      20.911  18.643  18.546  1.00 15.08           O\nATOM    149  CB  VAL A  17      18.104  17.238  17.430  1.00 11.90           C\nATOM    150  CG1 VAL A  17      18.553  18.359  16.487  1.00 13.60           C\nATOM    151  CG2 VAL A  17      17.621  15.992  16.693  1.00 13.59           C\nATOM    152  N   GLU A  18      19.149  18.710  19.920  1.00 12.78           N\nATOM    153  CA  GLU A  18      19.557  19.981  20.499  1.00 15.85           C\nATOM    154  C   GLU A  18      20.832  19.926  21.265  1.00 16.32           C\nATOM    155  O   GLU A  18      21.454  21.018  21.601  1.00 19.86           O\nATOM    156  CB  GLU A  18      18.397  20.487  21.355  1.00 17.83           C\nATOM    157  CG  GLU A  18      17.426  21.084  20.325  1.00 17.40           C\nATOM    158  CD  GLU A  18      16.354  21.874  21.005  1.00 18.58           C\nATOM    159  OE1 GLU A  18      16.201  21.610  22.224  1.00 29.40           O\nATOM    160  OE2 GLU A  18      15.643  22.651  20.354  1.00 23.74           O\nATOM    161  N   ALA A  19      21.400  18.727  21.473  1.00 15.18           N\nATOM    162  CA  ALA A  19      22.712  18.601  22.014  1.00 14.79           C\nATOM    163  C   ALA A  19      23.826  18.917  20.984  1.00 18.33           C\nATOM    164  O   ALA A  19      24.980  19.186  21.314  1.00 17.23           O\nATOM    165  CB  ALA A  19      23.022  17.235  22.602  1.00 21.12           C\nATOM    166  N   ASP A  20      23.595  18.948  19.691  1.00 14.92           N\nATOM    167  CA  ASP A  20      24.546  19.223  18.625  1.00 12.65           C\nATOM    168  C   ASP A  20      23.719  19.759  17.441  1.00 10.25           C\nATOM    169  O   ASP A  20      23.635  19.141  16.383  1.00 11.49           O\nATOM    170  CB  ASP A  20      25.356  18.001  18.188  1.00 13.49           C\nATOM    171  CG  ASP A  20      26.292  18.208  17.007  1.00 14.40           C\nATOM    172  OD1 ASP A  20      26.657  19.367  16.733  1.00 12.03           O\nATOM    173  OD2 ASP A  20      26.763  17.185  16.417  1.00 21.34           O\nATOM    174  N   VAL A  21      23.152  20.980  17.677  1.00 11.04           N\nATOM    175  CA  VAL A  21      22.306  21.550  16.647  1.00 10.44           C\nATOM    176  C   VAL A  21      23.085  21.658  15.311  1.00  9.86           C\nATOM    177  O   VAL A  21      22.658  21.300  14.216  1.00 10.70           O\nATOM    178  CB  VAL A  21      21.613  22.848  17.096  1.00 11.19           C\nATOM    179  CG1 VAL A  21      20.836  23.445  15.935  1.00 12.75           C\nATOM    180  CG2 VAL A  21      20.667  22.661  18.285  1.00 13.91           C\nATOM    181  N   ALA A  22      24.308  22.213  15.406  1.00 11.11           N\nATOM    182  CA  ALA A  22      25.042  22.516  14.185  1.00 10.41           C\nATOM    183  C   ALA A  22      25.422  21.279  13.374  1.00  9.73           C\nATOM    184  O   ALA A  22      25.352  21.266  12.128  1.00 10.25           O\nATOM    185  CB  ALA A  22      26.301  23.356  14.508  1.00 11.04           C\nATOM    186  N   GLY A  23      25.843  20.222  14.009  1.00 10.21           N\nATOM    187  CA  GLY A  23      26.217  19.010  13.295  1.00 10.01           C\nATOM    188  C   GLY A  23      25.021  18.349  12.594  1.00  9.02           C\nATOM    189  O   GLY A  23      25.107  17.856  11.474  1.00  9.46           O\nATOM    190  N   HIS A  24      23.882  18.400  13.322  1.00 10.30           N\nATOM    191  CA  HIS A  24      22.696  17.908  12.638  1.00  8.80           C\nATOM    192  C   HIS A  24      22.361  18.776  11.425  1.00  8.52           C\nATOM    193  O   HIS A  24      21.944  18.222  10.403  1.00  8.65           O\nATOM    194  CB  HIS A  24      21.501  17.930  13.604  1.00  7.63           C\nATOM    195  CG  HIS A  24      21.553  16.837  14.634  1.00  7.91           C\nATOM    196  ND1 HIS A  24      22.331  16.913  15.771  1.00  8.64           N\nATOM    197  CD2 HIS A  24      20.856  15.702  14.731  1.00  9.16           C\nATOM    198  CE1 HIS A  24      22.090  15.796  16.479  1.00  9.73           C\nATOM    199  NE2 HIS A  24      21.201  15.034  15.884  1.00 10.66           N\nATOM    200  N   GLY A  25      22.470  20.118  11.600  1.00  7.97           N\nATOM    201  CA  GLY A  25      22.074  20.968  10.503  1.00  7.95           C\nATOM    202  C   GLY A  25      22.918  20.741   9.264  1.00  7.58           C\nATOM    203  O   GLY A  25      22.436  20.721   8.146  1.00  7.73           O\nATOM    204  N   GLN A  26      24.259  20.461   9.468  1.00  8.81           N\nATOM    205  CA  GLN A  26      25.151  20.160   8.384  1.00  8.72           C\nATOM    206  C   GLN A  26      24.740  18.886   7.725  1.00  8.33           C\nATOM    207  O   GLN A  26      24.650  18.838   6.445  1.00 10.33           O\nATOM    208  CB AGLN A  26      26.605  19.928   8.855  0.65  7.49           C\nATOM    210  CG AGLN A  26      27.267  21.209   9.251  0.65  8.54           C\nATOM    212  CD AGLN A  26      28.524  20.944  10.037  0.65  8.60           C\nATOM    214  OE1AGLN A  26      28.509  20.176  11.001  0.65 11.06           O\nATOM    216  NE2AGLN A  26      29.635  21.462   9.601  0.65  8.49           N\nATOM    218  N   ASP A  27      24.516  17.782   8.420  1.00  8.84           N\nATOM    219  CA  ASP A  27      24.193  16.513   7.883  1.00  8.80           C\nATOM    220  C   ASP A  27      22.916  16.685   7.100  1.00  8.45           C\nATOM    221  O   ASP A  27      22.813  16.115   6.031  1.00  9.27           O\nATOM    222  CB  ASP A  27      24.074  15.451   8.949  1.00 10.26           C\nATOM    223  CG  ASP A  27      25.348  15.102   9.651  1.00 12.35           C\nATOM    224  OD1 ASP A  27      26.422  15.567   9.202  1.00 18.16           O\nATOM    225  OD2 ASP A  27      25.289  14.304  10.603  1.00 18.46           O\nATOM    226  N   ILE A  28      21.932  17.405   7.636  1.00  7.63           N\nATOM    227  CA  ILE A  28      20.655  17.495   6.980  1.00  6.42           C\nATOM    228  C   ILE A  28      20.736  18.293   5.688  1.00  6.45           C\nATOM    229  O   ILE A  28      20.212  17.850   4.660  1.00  6.87           O\nATOM    230  CB  ILE A  28      19.616  18.085   7.961  1.00  6.45           C\nATOM    231  CG1 ILE A  28      19.300  17.063   9.052  1.00  6.95           C\nATOM    232  CG2 ILE A  28      18.362  18.542   7.245  1.00  6.87           C\nATOM    233  CD1 ILE A  28      18.626  17.606  10.292  1.00  7.69           C\nATOM    234  N   LEU A  29      21.364  19.474   5.714  1.00  6.60           N\nATOM    235  CA  LEU A  29      21.463  20.254   4.476  1.00  6.57           C\nATOM    236  C   LEU A  29      22.301  19.532   3.445  1.00  6.76           C\nATOM    237  O   LEU A  29      21.944  19.582   2.250  1.00  7.45           O\nATOM    238  CB  LEU A  29      22.030  21.653   4.772  1.00  7.58           C\nATOM    239  CG  LEU A  29      21.108  22.573   5.581  1.00  8.28           C\nATOM    240  CD1 LEU A  29      21.831  23.852   5.922  1.00 11.35           C\nATOM    241  CD2 LEU A  29      19.833  22.859   4.815  1.00 11.03           C\nATOM    242  N   ILE A  30      23.379  18.865   3.830  1.00  7.17           N\nATOM    243  CA  ILE A  30      24.167  18.158   2.856  1.00  7.68           C\nATOM    244  C   ILE A  30      23.382  17.009   2.237  1.00  7.23           C\nATOM    245  O   ILE A  30      23.423  16.815   1.025  1.00  7.72           O\nATOM    246  CB  ILE A  30      25.494  17.666   3.462  1.00  9.42           C\nATOM    247  CG1 ILE A  30      26.335  18.867   3.806  1.00 12.55           C\nATOM    248  CG2 ILE A  30      26.157  16.613   2.622  1.00 12.20           C\nATOM    249  CD1 ILE A  30      27.588  18.560   4.630  1.00 16.47           C\nATOM    250  N   ARG A  31      22.628  16.260   3.030  1.00  7.55           N\nATOM    251  CA  ARG A  31      21.812  15.200   2.466  1.00  7.95           C\nATOM    252  C   ARG A  31      20.801  15.786   1.507  1.00  7.23           C\nATOM    253  O   ARG A  31      20.562  15.228   0.446  1.00  8.74           O\nATOM    254  CB AARG A  31      21.111  14.482   3.631  0.42  9.97           C\nATOM    256  CG AARG A  31      20.009  13.491   3.312  0.42 12.56           C\nATOM    258  CD AARG A  31      20.600  12.282   2.637  0.42 14.58           C\nATOM    260  NE AARG A  31      19.598  11.277   2.260  0.42 18.91           N\nATOM    262  CZ AARG A  31      20.088  10.040   2.123  0.42 19.75           C\nATOM    264  NH1AARG A  31      21.377   9.842   2.356  0.42 25.78           N\nATOM    266  NH2AARG A  31      19.294   9.036   1.792  0.42 26.43           N\nATOM    268  N   LEU A  32      20.146  16.872   1.900  1.00  6.84           N\nATOM    269  CA  LEU A  32      19.184  17.558   1.045  1.00  7.13           C\nATOM    270  C   LEU A  32      19.813  17.933  -0.303  1.00  6.79           C\nATOM    271  O   LEU A  32      19.241  17.668  -1.377  1.00  7.51           O\nATOM    272  CB  LEU A  32      18.658  18.784   1.765  1.00  6.72           C\nATOM    273  CG  LEU A  32      17.652  19.628   0.949  1.00  7.56           C\nATOM    274  CD1 LEU A  32      16.367  18.851   0.741  1.00  8.21           C\nATOM    275  CD2 LEU A  32      17.408  20.951   1.648  1.00  8.76           C\nATOM    276  N   PHE A  33      20.964  18.597  -0.244  1.00  6.59           N\nATOM    277  CA  PHE A  33      21.599  19.119  -1.465  1.00  7.44           C\nATOM    278  C   PHE A  33      22.089  17.981  -2.353  1.00  8.03           C\nATOM    279  O   PHE A  33      22.068  18.108  -3.583  1.00 10.13           O\nATOM    280  CB  PHE A  33      22.741  20.023  -1.082  1.00  7.49           C\nATOM    281  CG  PHE A  33      22.399  21.297  -0.360  1.00  7.75           C\nATOM    282  CD1 PHE A  33      21.152  21.873  -0.432  1.00  7.61           C\nATOM    283  CD2 PHE A  33      23.322  21.931   0.428  1.00  9.58           C\nATOM    284  CE1 PHE A  33      20.843  23.067   0.188  1.00  9.61           C\nATOM    285  CE2 PHE A  33      23.060  23.126   1.036  1.00 11.62           C\nATOM    286  CZ  PHE A  33      21.808  23.711   0.954  1.00 10.87           C\nATOM    287  N   LYS A  34      22.590  16.891  -1.752  1.00  8.20           N\nATOM    288  CA  LYS A  34      23.095  15.772  -2.549  1.00  9.98           C\nATOM    289  C   LYS A  34      21.951  14.995  -3.144  1.00  9.43           C\nATOM    290  O   LYS A  34      21.995  14.584  -4.307  1.00 11.46           O\nATOM    291  CB  LYS A  34      23.979  14.853  -1.704  1.00 12.54           C\nATOM    292  CG  LYS A  34      25.314  15.460  -1.319  1.00 16.82           C\nATOM    293  CD  LYS A  34      26.006  14.442  -0.420  1.00 23.97           C\nATOM    294  CE  LYS A  34      26.229  13.035  -0.934  1.00 30.86           C\nATOM    295  NZ  LYS A  34      27.687  12.967  -1.241  1.00 39.35           N\nATOM    296  N   SER A  35      20.888  14.723  -2.351  1.00  9.16           N\nATOM    297  CA  SER A  35      19.778  13.935  -2.820  1.00  9.91           C\nATOM    298  C   SER A  35      18.858  14.698  -3.781  1.00  8.76           C\nATOM    299  O   SER A  35      18.227  14.039  -4.624  1.00 10.73           O\nATOM    300  CB  SER A  35      18.965  13.416  -1.631  1.00 11.40           C\nATOM    301  OG  SER A  35      19.659  12.507  -0.862  1.00 16.75           O\nATOM    302  N   HIS A  36      18.824  16.000  -3.674  1.00  8.35           N\nATOM    303  CA  HIS A  36      17.931  16.835  -4.470  1.00  8.24           C\nATOM    304  C   HIS A  36      18.616  18.103  -4.877  1.00  7.95           C\nATOM    305  O   HIS A  36      18.445  19.170  -4.297  1.00  8.70           O\nATOM    306  CB  HIS A  36      16.629  17.148  -3.681  1.00  8.76           C\nATOM    307  CG  HIS A  36      15.962  15.936  -3.173  1.00 10.22           C\nATOM    308  ND1 HIS A  36      15.130  15.122  -3.916  1.00 11.26           N\nATOM    309  CD2 HIS A  36      16.038  15.336  -1.936  1.00 12.21           C\nATOM    310  CE1 HIS A  36      14.734  14.111  -3.162  1.00 13.44           C\nATOM    311  NE2 HIS A  36      15.270  14.220  -1.964  1.00 14.78           N\nATOM    312  N   PRO A  37      19.488  18.028  -5.900  1.00  8.21           N\nATOM    313  CA  PRO A  37      20.320  19.174  -6.246  1.00  8.71           C\nATOM    314  C   PRO A  37      19.586  20.426  -6.620  1.00  8.41           C\nATOM    315  O   PRO A  37      20.141  21.543  -6.531  1.00  9.53           O\nATOM    316  CB  PRO A  37      21.201  18.635  -7.388  1.00 10.30           C\nATOM    317  CG  PRO A  37      21.253  17.123  -7.151  1.00 10.73           C\nATOM    318  CD  PRO A  37      19.884  16.806  -6.638  1.00  8.96           C\nATOM    319  N   GLU A  38      18.329  20.328  -7.056  1.00  8.06           N\nATOM    320  CA  GLU A  38      17.529  21.507  -7.322  1.00  8.82           C\nATOM    321  C   GLU A  38      17.398  22.404  -6.090  1.00  8.76           C\nATOM    322  O   GLU A  38      17.187  23.608  -6.229  1.00 10.82           O\nATOM    323  CB  GLU A  38      16.152  21.114  -7.851  1.00  9.52           C\nATOM    324  CG  GLU A  38      15.237  20.336  -6.950  1.00  9.86           C\nATOM    325  CD  GLU A  38      15.381  18.851  -6.979  1.00  9.03           C\nATOM    326  OE1 GLU A  38      16.533  18.331  -7.010  1.00  8.89           O\nATOM    327  OE2 GLU A  38      14.310  18.195  -6.902  1.00 11.21           O\nATOM    328  N   THR A  39      17.463  21.805  -4.896  1.00  7.48           N\nATOM    329  CA  THR A  39      17.322  22.578  -3.685  1.00  7.30           C\nATOM    330  C   THR A  39      18.517  23.487  -3.446  1.00  7.44           C\nATOM    331  O   THR A  39      18.357  24.640  -2.994  1.00  8.38           O\nATOM    332  CB  THR A  39      17.124  21.671  -2.459  1.00  7.38           C\nATOM    333  OG1 THR A  39      18.261  20.881  -2.182  1.00  7.30           O\nATOM    334  CG2 THR A  39      15.858  20.841  -2.594  1.00  7.78           C\nATOM    335  N   LEU A  40      19.723  23.015  -3.786  1.00  8.18           N\nATOM    336  CA  LEU A  40      20.928  23.813  -3.598  1.00  8.28           C\nATOM    337  C   LEU A  40      20.869  25.078  -4.433  1.00  8.73           C\nATOM    338  O   LEU A  40      21.314  26.182  -4.022  1.00  9.26           O\nATOM    339  CB  LEU A  40      22.137  22.925  -3.985  1.00  8.56           C\nATOM    340  CG  LEU A  40      23.478  23.617  -3.940  1.00  9.45           C\nATOM    341  CD1 LEU A  40      23.736  24.182  -2.562  1.00 12.52           C\nATOM    342  CD2 LEU A  40      24.550  22.620  -4.397  1.00 13.00           C\nATOM    343  N   GLU A  41      20.296  24.941  -5.634  1.00  9.53           N\nATOM    344  CA  GLU A  41      20.239  26.028  -6.564  1.00 11.39           C\nATOM    345  C   GLU A  41      19.415  27.175  -6.039  1.00 10.44           C\nATOM    346  O   GLU A  41      19.588  28.319  -6.491  1.00 13.16           O\nATOM    347  CB AGLU A  41      19.502  25.484  -7.809  0.51 14.33           C\nATOM    349  CG AGLU A  41      19.352  26.247  -9.071  0.51 12.79           C\nATOM    351  CD AGLU A  41      20.613  26.541  -9.855  0.51 14.26           C\nATOM    353  OE1AGLU A  41      21.731  26.358  -9.355  0.51 17.39           O\nATOM    355  OE2AGLU A  41      20.470  26.999 -11.016  0.51 17.15           O\nATOM    357  N   LYS A  42      18.494  26.972  -5.062  1.00  9.77           N\nATOM    358  CA  LYS A  42      17.728  28.019  -4.446  1.00  9.76           C\nATOM    359  C   LYS A  42      18.500  28.945  -3.516  1.00  9.34           C\nATOM    360  O   LYS A  42      17.991  29.953  -3.034  1.00 11.39           O\nATOM    361  CB  LYS A  42      16.521  27.452  -3.648  1.00 10.59           C\nATOM    362  CG  LYS A  42      15.476  26.746  -4.532  1.00 12.15           C\nATOM    363  CD  LYS A  42      14.654  27.800  -5.294  1.00 16.68           C\nATOM    364  CE  LYS A  42      13.643  27.097  -6.169  1.00 18.35           C\nATOM    365  NZ  LYS A  42      12.661  28.012  -6.837  1.00 20.42           N\nATOM    366  N   PHE A  43      19.743  28.573  -3.184  1.00  9.02           N\nATOM    367  CA  PHE A  43      20.573  29.297  -2.236  1.00  9.02           C\nATOM    368  C   PHE A  43      21.710  30.021  -2.970  1.00  9.69           C\nATOM    369  O   PHE A  43      22.713  29.401  -3.280  1.00  9.01           O\nATOM    370  CB  PHE A  43      21.168  28.364  -1.199  1.00  8.68           C\nATOM    371  CG  PHE A  43      20.191  27.773  -0.248  1.00  8.04           C\nATOM    372  CD1 PHE A  43      19.571  26.578  -0.558  1.00  9.18           C\nATOM    373  CD2 PHE A  43      19.906  28.418   0.941  1.00  8.49           C\nATOM    374  CE1 PHE A  43      18.721  26.006   0.361  1.00 10.40           C\nATOM    375  CE2 PHE A  43      19.022  27.813   1.845  1.00  9.80           C\nATOM    376  CZ  PHE A  43      18.412  26.619   1.539  1.00 10.44           C\nATOM    377  N   ASP A  44      21.549  31.298  -3.222  1.00 13.09           N\nATOM    378  CA  ASP A  44      22.672  32.102  -3.726  1.00 16.30           C\nATOM    379  C   ASP A  44      23.901  31.943  -2.810  1.00 15.04           C\nATOM    380  O   ASP A  44      25.000  31.958  -3.372  1.00 16.16           O\nATOM    381  CB  ASP A  44      22.237  33.575  -3.833  1.00 18.02           C\nATOM    382  CG  ASP A  44      21.326  33.784  -5.013  1.00 23.32           C\nATOM    383  OD1 ASP A  44      21.033  32.892  -5.845  1.00 27.24           O\nATOM    384  OD2 ASP A  44      20.842  34.938  -5.068  1.00 34.45           O\nATOM    385  N   ARG A  45      23.773  31.785  -1.486  1.00 14.10           N\nATOM    386  CA  ARG A  45      24.855  31.645  -0.546  1.00 16.07           C\nATOM    387  C   ARG A  45      25.640  30.397  -0.802  1.00 12.18           C\nATOM    388  O   ARG A  45      26.787  30.325  -0.382  1.00 14.49           O\nATOM    389  CB  ARG A  45      24.381  31.520   0.935  1.00 18.24           C\nATOM    390  CG  ARG A  45      24.167  32.765   1.701  1.00 21.18           C\nATOM    391  CD  ARG A  45      23.242  32.692   2.901  1.00 20.86           C\nATOM    392  NE  ARG A  45      24.001  32.330   4.111  1.00 16.70           N\nATOM    393  CZ  ARG A  45      23.381  32.203   5.305  1.00 19.04           C\nATOM    394  NH1 ARG A  45      22.093  32.413   5.415  1.00 22.22           N\nATOM    395  NH2 ARG A  45      24.130  31.841   6.363  1.00 22.01           N\nATOM    396  N   PHE A  46      24.967  29.351  -1.325  1.00  9.21           N\nATOM    397  CA  PHE A  46      25.554  28.009  -1.284  1.00  8.71           C\nATOM    398  C   PHE A  46      25.763  27.367  -2.626  1.00  9.27           C\nATOM    399  O   PHE A  46      26.447  26.342  -2.706  1.00  9.38           O\nATOM    400  CB  PHE A  46      24.754  27.055  -0.348  1.00  8.85           C\nATOM    401  CG  PHE A  46      24.597  27.593   1.041  1.00  8.89           C\nATOM    402  CD1 PHE A  46      25.675  28.055   1.740  1.00  8.59           C\nATOM    403  CD2 PHE A  46      23.353  27.690   1.644  1.00 10.29           C\nATOM    404  CE1 PHE A  46      25.526  28.608   3.005  1.00 10.18           C\nATOM    405  CE2 PHE A  46      23.187  28.236   2.915  1.00 11.73           C\nATOM    406  CZ  PHE A  46      24.294  28.685   3.603  1.00 10.15           C\nATOM    407  N   LYS A  47      25.204  27.913  -3.667  1.00  9.75           N\nATOM    408  CA  LYS A  47      25.246  27.211  -4.946  1.00 11.65           C\nATOM    409  C   LYS A  47      26.656  27.120  -5.541  1.00 11.61           C\nATOM    410  O   LYS A  47      26.905  26.277  -6.429  1.00 15.36           O\nATOM    411  CB ALYS A  47      24.145  27.775  -5.786  0.68 13.34           C\nATOM    413  CG ALYS A  47      24.357  29.143  -6.395  0.68 15.88           C\nATOM    415  CD ALYS A  47      23.165  29.630  -7.176  0.68 21.17           C\nATOM    417  CE ALYS A  47      23.468  30.812  -8.081  0.68 27.23           C\nATOM    419  NZ ALYS A  47      22.281  31.062  -8.935  0.68 46.37           N\nATOM    421  N   HIS A  48      27.642  27.836  -4.999  1.00 10.16           N\nATOM    422  CA  HIS A  48      29.042  27.646  -5.398  1.00 11.78           C\nATOM    423  C   HIS A  48      29.612  26.321  -4.932  1.00 12.00           C\nATOM    424  O   HIS A  48      30.702  25.900  -5.342  1.00 17.17           O\nATOM    425  CB  HIS A  48      29.925  28.745  -4.873  1.00 11.76           C\nATOM    426  CG  HIS A  48      30.169  28.786  -3.396  1.00 10.83           C\nATOM    427  ND1 HIS A  48      29.302  29.364  -2.494  1.00 12.20           N\nATOM    428  CD2 HIS A  48      31.197  28.269  -2.646  1.00 12.19           C\nATOM    429  CE1 HIS A  48      29.805  29.205  -1.280  1.00 12.89           C\nATOM    430  NE2 HIS A  48      30.936  28.532  -1.321  1.00 12.37           N\nATOM    431  N   LEU A  49      28.994  25.667  -3.955  1.00  9.68           N\nATOM    432  CA  LEU A  49      29.487  24.404  -3.403  1.00  9.52           C\nATOM    433  C   LEU A  49      29.201  23.247  -4.372  1.00 10.58           C\nATOM    434  O   LEU A  49      28.071  23.037  -4.802  1.00 14.78           O\nATOM    435  CB  LEU A  49      28.826  24.173  -2.062  1.00  9.42           C\nATOM    436  CG  LEU A  49      29.087  25.234  -1.012  1.00  9.17           C\nATOM    437  CD1 LEU A  49      28.143  25.121   0.162  1.00 10.47           C\nATOM    438  CD2 LEU A  49      30.517  25.235  -0.511  1.00 10.13           C\nATOM    439  N   LYS A  50      30.256  22.487  -4.736  1.00 10.39           N\nATOM    440  CA  LYS A  50      30.184  21.492  -5.800  1.00 11.78           C\nATOM    441  C   LYS A  50      30.467  20.048  -5.335  1.00 11.37           C\nATOM    442  O   LYS A  50      30.231  19.102  -6.145  1.00 12.69           O\nATOM    443  CB  LYS A  50      31.271  21.780  -6.891  1.00 18.70           C\nATOM    444  CG  LYS A  50      31.192  23.120  -7.526  1.00 24.11           C\nATOM    445  CD  LYS A  50      29.865  23.625  -8.043  1.00 28.02           C\nATOM    446  CE  LYS A  50      30.072  25.092  -8.456  1.00 32.97           C\nATOM    447  NZ  LYS A  50      28.773  25.773  -8.659  1.00 40.86           N\nATOM    448  N   THR A  51      31.035  19.944  -4.079  1.00  8.96           N\nATOM    449  CA  THR A  51      31.347  18.646  -3.495  1.00  8.96           C\nATOM    450  C   THR A  51      30.857  18.596  -2.057  1.00  7.74           C\nATOM    451  O   THR A  51      30.717  19.602  -1.369  1.00  8.18           O\nATOM    452  CB  THR A  51      32.879  18.348  -3.510  1.00  9.73           C\nATOM    453  OG1 THR A  51      33.459  19.178  -2.518  1.00  9.75           O\nATOM    454  CG2 THR A  51      33.509  18.587  -4.849  1.00 10.28           C\nATOM    455  N   GLU A  52      30.692  17.359  -1.576  1.00  7.73           N\nATOM    456  CA  GLU A  52      30.343  17.167  -0.195  1.00  7.66           C\nATOM    457  C   GLU A  52      31.409  17.728   0.766  1.00  7.66           C\nATOM    458  O   GLU A  52      31.078  18.317   1.792  1.00  8.65           O\nATOM    459  CB  GLU A  52      30.083  15.676   0.073  1.00  8.13           C\nATOM    460  CG  GLU A  52      29.711  15.381   1.480  1.00  9.34           C\nATOM    461  CD  GLU A  52      29.152  13.991   1.723  1.00 11.26           C\nATOM    462  OE1 GLU A  52      29.104  13.160   0.758  1.00 13.23           O\nATOM    463  OE2 GLU A  52      28.737  13.708   2.873  1.00 17.32           O\nATOM    464  N   ALA A  53      32.691  17.533   0.425  1.00  8.50           N\nATOM    465  CA  ALA A  53      33.737  18.078   1.267  1.00  9.32           C\nATOM    466  C   ALA A  53      33.663  19.594   1.350  1.00  8.50           C\nATOM    467  O   ALA A  53      33.828  20.166   2.443  1.00  8.94           O\nATOM    468  CB  ALA A  53      35.104  17.655   0.743  1.00 12.29           C\nATOM    469  N   GLU A  54      33.358  20.274   0.228  1.00  8.14           N\nATOM    470  CA  GLU A  54      33.209  21.712   0.266  1.00  7.81           C\nATOM    471  C   GLU A  54      32.032  22.107   1.146  1.00  7.13           C\nATOM    472  O   GLU A  54      32.116  23.083   1.914  1.00  7.83           O\nATOM    473  CB  GLU A  54      32.977  22.297  -1.144  1.00  8.45           C\nATOM    474  CG  GLU A  54      34.232  22.286  -1.985  1.00 10.00           C\nATOM    475  CD  GLU A  54      33.974  22.626  -3.441  1.00 11.32           C\nATOM    476  OE1 GLU A  54      32.842  22.880  -3.874  1.00 15.20           O\nATOM    477  OE2 GLU A  54      34.981  22.652  -4.239  1.00 16.37           O\nATOM    478  N   MET A  55      30.922  21.377   1.049  1.00  6.67           N\nATOM    479  CA  MET A  55      29.783  21.655   1.892  1.00  6.73           C\nATOM    480  C   MET A  55      30.133  21.523   3.374  1.00  7.25           C\nATOM    481  O   MET A  55      29.761  22.386   4.188  1.00  7.64           O\nATOM    482  CB  MET A  55      28.613  20.740   1.516  1.00  6.47           C\nATOM    483  CG  MET A  55      28.066  20.969   0.126  1.00  7.25           C\nATOM    484  SD  MET A  55      26.871  19.672  -0.277  1.00  8.79           S\nATOM    485  CE  MET A  55      26.628  19.995  -2.030  1.00 12.14           C\nATOM    486  N   LYS A  56      30.832  20.434   3.716  1.00  7.39           N\nATOM    487  CA  LYS A  56      31.173  20.193   5.111  1.00  9.18           C\nATOM    488  C   LYS A  56      32.157  21.240   5.655  1.00  9.57           C\nATOM    489  O   LYS A  56      32.146  21.512   6.848  1.00 13.37           O\nATOM    490  CB ALYS A  56      31.737  18.765   5.215  0.47 10.36           C\nATOM    492  CG ALYS A  56      30.830  17.575   5.388  0.47 12.59           C\nATOM    494  CD ALYS A  56      31.444  16.209   5.200  0.47 14.70           C\nATOM    496  CE ALYS A  56      30.389  15.118   5.395  0.47 17.03           C\nATOM    498  NZ ALYS A  56      29.156  15.218   4.598  0.47 23.70           N\nATOM    500  N   ALA A  57      32.952  21.864   4.768  1.00  7.75           N\nATOM    501  CA  ALA A  57      33.926  22.865   5.171  1.00  8.03           C\nATOM    502  C   ALA A  57      33.334  24.274   5.227  1.00  7.71           C\nATOM    503  O   ALA A  57      34.107  25.210   5.532  1.00 10.38           O\nATOM    504  CB  ALA A  57      35.091  22.835   4.205  1.00  9.86           C\nATOM    505  N   SER A  58      32.106  24.483   4.846  1.00  6.63           N\nATOM    506  CA  SER A  58      31.540  25.829   4.823  1.00  6.36           C\nATOM    507  C   SER A  58      30.925  26.233   6.162  1.00  6.36           C\nATOM    508  O   SER A  58      29.927  25.647   6.622  1.00  6.59           O\nATOM    509  CB  SER A  58      30.452  25.910   3.734  1.00  6.73           C\nATOM    510  OG  SER A  58      29.751  27.138   3.843  1.00  6.87           O\nATOM    511  N   GLU A  59      31.529  27.207   6.799  1.00  6.73           N\nATOM    512  CA  GLU A  59      31.010  27.703   8.081  1.00  7.15           C\nATOM    513  C   GLU A  59      29.694  28.384   7.860  1.00  6.79           C\nATOM    514  O   GLU A  59      28.793  28.306   8.715  1.00  7.74           O\nATOM    515  CB  GLU A  59      32.017  28.637   8.754  1.00  7.80           C\nATOM    516  CG  GLU A  59      31.646  28.946  10.161  1.00  8.29           C\nATOM    517  CD  GLU A  59      31.672  27.803  11.130  1.00  8.32           C\nATOM    518  OE1 GLU A  59      32.171  26.699  10.764  1.00  9.05           O\nATOM    519  OE2 GLU A  59      31.226  27.959  12.296  1.00 10.40           O\nATOM    520  N   ASP A  60      29.521  29.060   6.738  1.00  7.07           N\nATOM    521  CA  ASP A  60      28.253  29.741   6.460  1.00  7.49           C\nATOM    522  C   ASP A  60      27.123  28.722   6.379  1.00  6.44           C\nATOM    523  O   ASP A  60      26.021  28.966   6.838  1.00  6.82           O\nATOM    524  CB  ASP A  60      28.425  30.546   5.171  1.00  9.74           C\nATOM    525  CG  ASP A  60      27.282  31.603   5.155  1.00 12.46           C\nATOM    526  OD1 ASP A  60      27.040  32.282   6.190  1.00 14.97           O\nATOM    527  OD2 ASP A  60      26.663  31.740   4.127  1.00 17.41           O\nATOM    528  N   LEU A  61      27.398  27.567   5.732  1.00  6.35           N\nATOM    529  CA  LEU A  61      26.379  26.516   5.654  1.00  6.49           C\nATOM    530  C   LEU A  61      26.022  26.007   7.051  1.00  5.66           C\nATOM    531  O   LEU A  61      24.857  25.794   7.382  1.00  6.12           O\nATOM    532  CB ALEU A  61      26.812  25.415   4.678  0.66  5.84           C\nATOM    534  CG ALEU A  61      25.737  24.307   4.483  0.66  6.49           C\nATOM    536  CD1ALEU A  61      24.492  24.957   3.919  0.66  8.45           C\nATOM    538  CD2ALEU A  61      26.271  23.180   3.615  0.66  9.25           C\nATOM    540  N   LYS A  62      27.048  25.791   7.896  1.00  5.95           N\nATOM    541  CA  LYS A  62      26.833  25.354   9.250  1.00  6.02           C\nATOM    542  C   LYS A  62      25.969  26.343  10.027  1.00  5.94           C\nATOM    543  O   LYS A  62      25.024  25.959  10.748  1.00  6.91           O\nATOM    544  CB  LYS A  62      28.179  25.141   9.940  1.00  6.82           C\nATOM    545  CG  LYS A  62      28.121  24.493  11.293  1.00  7.48           C\nATOM    546  CD  LYS A  62      29.530  24.193  11.799  1.00  8.73           C\nATOM    547  CE  LYS A  62      29.516  23.514  13.129  1.00  8.58           C\nATOM    548  NZ  LYS A  62      30.885  23.123  13.550  1.00  9.60           N\nATOM    549  N   LYS A  63      26.234  27.644   9.879  1.00  6.38           N\nATOM    550  CA  LYS A  63      25.434  28.671  10.530  1.00  7.36           C\nATOM    551  C   LYS A  63      24.014  28.592  10.074  1.00  6.58           C\nATOM    552  O   LYS A  63      23.064  28.723  10.862  1.00  7.54           O\nATOM    553  CB ALYS A  63      25.970  30.082  10.167  0.59  8.93           C\nATOM    555  CG ALYS A  63      27.126  30.417  11.077  0.59 11.71           C\nATOM    557  CD ALYS A  63      27.765  31.709  10.589  0.59 15.51           C\nATOM    559  CE ALYS A  63      26.810  32.844  10.467  0.59 15.38           C\nATOM    561  NZ ALYS A  63      26.388  33.542  11.695  0.59 26.57           N\nATOM    563  N   HIS A  64      23.794  28.457   8.761  1.00  6.88           N\nATOM    564  CA  HIS A  64      22.424  28.365   8.264  1.00  6.91           C\nATOM    565  C   HIS A  64      21.689  27.139   8.785  1.00  6.48           C\nATOM    566  O   HIS A  64      20.495  27.202   9.112  1.00  7.00           O\nATOM    567  CB AHIS A  64      22.389  28.601   6.796  0.50  5.99           C\nATOM    569  CG AHIS A  64      21.014  28.662   6.299  0.50  6.35           C\nATOM    571  ND1AHIS A  64      20.201  29.698   6.672  0.50  7.41           N\nATOM    573  CD2AHIS A  64      20.284  27.770   5.568  0.50  7.92           C\nATOM    575  CE1AHIS A  64      19.007  29.465   6.113  0.50  7.23           C\nATOM    577  NE2AHIS A  64      19.031  28.290   5.418  0.50  7.97           N\nATOM    579  N   GLY A  65      22.399  25.984   8.892  1.00  6.08           N\nATOM    580  CA  GLY A  65      21.755  24.840   9.442  1.00  6.57           C\nATOM    581  C   GLY A  65      21.259  25.057  10.868  1.00  6.28           C\nATOM    582  O   GLY A  65      20.189  24.597  11.245  1.00  6.32           O\nATOM    583  N   VAL A  66      22.026  25.831  11.664  1.00  7.03           N\nATOM    584  CA  VAL A  66      21.554  26.207  12.989  1.00  7.39           C\nATOM    585  C   VAL A  66      20.298  27.058  12.894  1.00  7.13           C\nATOM    586  O   VAL A  66      19.336  26.821  13.659  1.00  7.94           O\nATOM    587  CB  VAL A  66      22.651  26.946  13.797  1.00  8.67           C\nATOM    588  CG1 VAL A  66      22.103  27.483  15.098  1.00 10.49           C\nATOM    589  CG2 VAL A  66      23.825  25.989  14.047  1.00 10.22           C\nATOM    590  N   THR A  67      20.257  28.035  11.999  1.00  7.27           N\nATOM    591  CA  THR A  67      19.055  28.848  11.830  1.00  7.44           C\nATOM    592  C   THR A  67      17.831  27.967  11.526  1.00  6.57           C\nATOM    593  O   THR A  67      16.762  28.140  12.122  1.00  7.79           O\nATOM    594  CB  THR A  67      19.293  29.882  10.734  1.00  8.44           C\nATOM    595  OG1 THR A  67      20.345  30.718  11.209  1.00 11.45           O\nATOM    596  CG2 THR A  67      18.024  30.655  10.410  1.00 10.12           C\nATOM    597  N   VAL A  68      17.992  27.041  10.592  1.00  6.09           N\nATOM    598  CA  VAL A  68      16.871  26.185  10.188  1.00  5.62           C\nATOM    599  C   VAL A  68      16.385  25.334  11.335  1.00  5.66           C\nATOM    600  O   VAL A  68      15.184  25.276  11.650  1.00  5.95           O\nATOM    601  CB  VAL A  68      17.274  25.305   8.988  1.00  5.96           C\nATOM    602  CG1 VAL A  68      16.175  24.317   8.651  1.00  6.76           C\nATOM    603  CG2 VAL A  68      17.610  26.164   7.792  1.00  7.05           C\nATOM    604  N   LEU A  69      17.296  24.637  12.013  1.00  5.78           N\nATOM    605  CA  LEU A  69      16.889  23.715  13.063  1.00  6.51           C\nATOM    606  C   LEU A  69      16.386  24.442  14.287  1.00  6.57           C\nATOM    607  O   LEU A  69      15.519  23.945  15.007  1.00  7.44           O\nATOM    608  CB  LEU A  69      17.978  22.738  13.429  1.00  7.11           C\nATOM    609  CG  LEU A  69      18.382  21.778  12.294  1.00  7.82           C\nATOM    610  CD1 LEU A  69      19.325  20.739  12.893  1.00  8.72           C\nATOM    611  CD2 LEU A  69      17.198  21.090  11.613  1.00  9.11           C\nATOM    612  N   THR A  70      16.897  25.644  14.564  1.00  7.01           N\nATOM    613  CA  THR A  70      16.389  26.446  15.680  1.00  8.50           C\nATOM    614  C   THR A  70      14.929  26.800  15.412  1.00  7.44           C\nATOM    615  O   THR A  70      14.093  26.685  16.330  1.00  8.14           O\nATOM    616  CB  THR A  70      17.253  27.730  15.866  1.00 10.67           C\nATOM    617  OG1 THR A  70      18.569  27.306  16.211  1.00 14.06           O\nATOM    618  CG2 THR A  70      16.719  28.615  16.950  1.00 15.40           C\nATOM    619  N   ALA A  71      14.615  27.221  14.187  1.00  7.21           N\nATOM    620  CA  ALA A  71      13.215  27.552  13.842  1.00  7.08           C\nATOM    621  C   ALA A  71      12.357  26.294  13.964  1.00  6.44           C\nATOM    622  O   ALA A  71      11.231  26.358  14.489  1.00  7.03           O\nATOM    623  CB  ALA A  71      13.142  28.175  12.477  1.00  8.08           C\nATOM    624  N   LEU A  72      12.827  25.165  13.422  1.00  6.01           N\nATOM    625  CA  LEU A  72      12.016  23.940  13.482  1.00  6.21           C\nATOM    626  C   LEU A  72      11.784  23.503  14.906  1.00  6.07           C\nATOM    627  O   LEU A  72      10.689  23.059  15.265  1.00  6.72           O\nATOM    628  CB  LEU A  72      12.676  22.849  12.650  1.00  6.24           C\nATOM    629  CG  LEU A  72      11.905  21.539  12.609  1.00  7.01           C\nATOM    630  CD1 LEU A  72      10.485  21.724  12.040  1.00  9.12           C\nATOM    631  CD2 LEU A  72      12.669  20.528  11.763  1.00  8.61           C\nATOM    632  N   GLY A  73      12.806  23.561  15.760  1.00  6.72           N\nATOM    633  CA  GLY A  73      12.641  23.149  17.132  1.00  7.32           C\nATOM    634  C   GLY A  73      11.597  23.990  17.838  1.00  7.22           C\nATOM    635  O   GLY A  73      10.783  23.490  18.623  1.00  7.93           O\nATOM    636  N   ALA A  74      11.606  25.305  17.583  1.00  7.76           N\nATOM    637  CA  ALA A  74      10.619  26.205  18.214  1.00  8.64           C\nATOM    638  C   ALA A  74       9.218  25.823  17.798  1.00  8.24           C\nATOM    639  O   ALA A  74       8.284  25.867  18.583  1.00  9.64           O\nATOM    640  CB  ALA A  74      10.927  27.655  17.894  1.00  9.56           C\nATOM    641  N   ILE A  75       9.049  25.441  16.516  1.00  7.29           N\nATOM    642  CA  ILE A  75       7.759  24.959  16.029  1.00  6.77           C\nATOM    643  C   ILE A  75       7.387  23.652  16.700  1.00  6.90           C\nATOM    644  O   ILE A  75       6.231  23.520  17.189  1.00  7.92           O\nATOM    645  CB  ILE A  75       7.843  24.799  14.507  1.00  7.26           C\nATOM    646  CG1 ILE A  75       7.857  26.145  13.790  1.00  8.86           C\nATOM    647  CG2 ILE A  75       6.701  23.952  13.937  1.00  8.30           C\nATOM    648  CD1 ILE A  75       8.369  26.085  12.380  1.00 10.87           C\nATOM    649  N   LEU A  76       8.256  22.660  16.722  1.00  6.86           N\nATOM    650  CA  LEU A  76       7.911  21.336  17.288  1.00  6.79           C\nATOM    651  C   LEU A  76       7.476  21.484  18.746  1.00  6.99           C\nATOM    652  O   LEU A  76       6.569  20.763  19.179  1.00  7.97           O\nATOM    653  CB  LEU A  76       9.047  20.333  17.126  1.00  7.14           C\nATOM    654  CG  LEU A  76       9.406  19.972  15.668  1.00  7.26           C\nATOM    655  CD1 LEU A  76      10.640  19.100  15.664  1.00  8.99           C\nATOM    656  CD2 LEU A  76       8.263  19.224  15.008  1.00  8.15           C\nATOM    657  N   LYS A  77       8.157  22.335  19.506  1.00  7.59           N\nATOM    658  CA  LYS A  77       7.831  22.452  20.926  1.00  8.85           C\nATOM    659  C   LYS A  77       6.488  23.081  21.197  1.00  8.81           C\nATOM    660  O   LYS A  77       5.968  23.005  22.312  1.00 11.78           O\nATOM    661  CB  LYS A  77       8.957  23.208  21.616  1.00 10.78           C\nATOM    662  CG  LYS A  77      10.243  22.368  21.674  1.00 11.51           C\nATOM    663  CD  LYS A  77      11.429  23.219  22.131  1.00 12.87           C\nATOM    664  CE  LYS A  77      12.713  22.494  21.926  1.00 15.34           C\nATOM    665  NZ  LYS A  77      13.857  23.345  22.347  1.00 23.06           N\nATOM    666  N   LYS A  78       5.854  23.710  20.161  1.00  8.30           N\nATOM    667  CA  LYS A  78       4.499  24.207  20.246  1.00  9.69           C\nATOM    668  C   LYS A  78       3.494  23.073  20.078  1.00 10.06           C\nATOM    669  O   LYS A  78       2.294  23.342  20.298  1.00 12.22           O\nATOM    670  CB  LYS A  78       4.207  25.289  19.246  1.00 11.11           C\nATOM    671  CG  LYS A  78       4.990  26.561  19.414  1.00 14.93           C\nATOM    672  CD  LYS A  78       4.868  27.144  20.795  1.00 23.94           C\nATOM    673  CE  LYS A  78       3.644  28.044  20.849  1.00 29.20           C\nATOM    674  NZ  LYS A  78       4.072  29.445  21.138  1.00 42.82           N\nATOM    675  N   LYS A  79       3.870  21.869  19.700  1.00  9.02           N\nATOM    676  CA  LYS A  79       2.992  20.719  19.615  1.00  9.20           C\nATOM    677  C   LYS A  79       1.728  21.048  18.845  1.00 10.07           C\nATOM    678  O   LYS A  79       0.598  20.739  19.236  1.00 11.75           O\nATOM    679  CB  LYS A  79       2.648  20.172  20.988  1.00  9.70           C\nATOM    680  CG  LYS A  79       3.886  19.734  21.765  1.00 10.61           C\nATOM    681  CD  LYS A  79       3.654  19.479  23.233  1.00 11.40           C\nATOM    682  CE  LYS A  79       2.737  18.311  23.503  1.00 11.82           C\nATOM    683  NZ  LYS A  79       2.435  18.254  24.961  1.00 11.57           N\nATOM    684  N   GLY A  80       1.964  21.631  17.656  1.00 10.22           N\nATOM    685  CA  GLY A  80       0.825  21.934  16.771  1.00 11.39           C\nATOM    686  C   GLY A  80       0.291  23.349  16.917  1.00 10.87           C\nATOM    687  O   GLY A  80      -0.332  23.833  15.971  1.00 12.32           O\nATOM    688  N   HIS A  81       0.516  23.992  18.055  1.00 12.07           N\nATOM    689  CA  HIS A  81      -0.013  25.350  18.278  1.00 12.53           C\nATOM    690  C   HIS A  81       0.996  26.372  17.784  1.00 12.00           C\nATOM    691  O   HIS A  81       1.512  27.207  18.547  1.00 13.60           O\nATOM    692  CB  HIS A  81      -0.246  25.587  19.762  1.00 14.71           C\nATOM    693  CG  HIS A  81      -1.227  24.643  20.348  1.00 17.30           C\nATOM    694  ND1 HIS A  81      -2.477  25.102  20.544  1.00 27.15           N\nATOM    695  CD2 HIS A  81      -1.174  23.369  20.805  1.00 21.37           C\nATOM    696  CE1 HIS A  81      -3.192  24.128  21.073  1.00 30.64           C\nATOM    697  NE2 HIS A  81      -2.426  23.039  21.246  1.00 27.78           N\nATOM    698  N   HIS A  82       1.337  26.259  16.478  1.00 12.56           N\nATOM    699  CA  HIS A  82       2.472  26.958  15.867  1.00 11.99           C\nATOM    700  C   HIS A  82       2.100  27.993  14.839  1.00 12.39           C\nATOM    701  O   HIS A  82       2.921  28.389  14.003  1.00 12.00           O\nATOM    702  CB  HIS A  82       3.431  25.903  15.244  1.00 10.84           C\nATOM    703  CG  HIS A  82       2.766  24.943  14.305  1.00  9.71           C\nATOM    704  ND1 HIS A  82       3.123  23.612  14.251  1.00 10.37           N\nATOM    705  CD2 HIS A  82       1.811  25.178  13.351  1.00 10.73           C\nATOM    706  CE1 HIS A  82       2.408  23.061  13.304  1.00 10.24           C\nATOM    707  NE2 HIS A  82       1.583  23.963  12.750  1.00 10.08           N\nATOM    708  N   GLU A  83       0.890  28.515  14.895  1.00 13.43           N\nATOM    709  CA  GLU A  83       0.448  29.457  13.878  1.00 15.38           C\nATOM    710  C   GLU A  83       1.343  30.666  13.735  1.00 15.71           C\nATOM    711  O   GLU A  83       1.610  31.081  12.619  1.00 15.17           O\nATOM    712  CB  GLU A  83      -1.012  29.816  14.117  1.00 20.53           C\nATOM    713  CG  GLU A  83      -1.834  28.863  14.940  1.00 27.85           C\nATOM    714  CD  GLU A  83      -1.517  28.542  16.376  1.00 28.66           C\nATOM    715  OE1 GLU A  83      -0.708  29.249  17.024  1.00 41.07           O\nATOM    716  OE2 GLU A  83      -2.108  27.625  16.936  1.00 39.70           O\nATOM    717  N   ALA A  84       1.716  31.231  14.913  1.00 14.94           N\nATOM    718  CA  ALA A  84       2.482  32.453  14.914  1.00 17.02           C\nATOM    719  C   ALA A  84       3.883  32.185  14.335  1.00 15.51           C\nATOM    720  O   ALA A  84       4.432  33.038  13.682  1.00 19.43           O\nATOM    721  CB  ALA A  84       2.685  33.055  16.278  1.00 17.29           C\nATOM    722  N   GLU A  85       4.447  31.034  14.609  1.00 13.90           N\nATOM    723  CA  GLU A  85       5.765  30.762  14.068  1.00 12.02           C\nATOM    724  C   GLU A  85       5.715  30.529  12.581  1.00 11.09           C\nATOM    725  O   GLU A  85       6.696  30.809  11.929  1.00 11.44           O\nATOM    726  CB  GLU A  85       6.315  29.572  14.816  1.00 17.08           C\nATOM    727  CG  GLU A  85       6.583  29.594  16.293  1.00 17.38           C\nATOM    728  CD  GLU A  85       5.446  29.720  17.290  1.00 19.45           C\nATOM    729  OE1 GLU A  85       4.291  29.370  17.031  1.00 20.08           O\nATOM    730  OE2 GLU A  85       5.652  30.183  18.458  1.00 25.36           O\nATOM    731  N   LEU A  86       4.628  29.920  12.084  1.00 12.00           N\nATOM    732  CA  LEU A  86       4.644  29.656  10.641  1.00 11.57           C\nATOM    733  C   LEU A  86       4.371  30.834   9.746  1.00 12.33           C\nATOM    734  O   LEU A  86       4.797  30.719   8.631  1.00 16.19           O\nATOM    735  CB  LEU A  86       3.633  28.541  10.270  1.00 11.51           C\nATOM    736  CG  LEU A  86       3.938  27.115  10.789  1.00 16.56           C\nATOM    737  CD1 LEU A  86       2.989  26.062  10.237  1.00 18.02           C\nATOM    738  CD2 LEU A  86       5.380  26.700  10.697  1.00 21.06           C\nATOM    739  N   LYS A  87       3.712  31.830  10.226  1.00 15.37           N\nATOM    740  CA  LYS A  87       3.351  32.956   9.384  1.00 17.40           C\nATOM    741  C   LYS A  87       4.543  33.555   8.656  1.00 14.61           C\nATOM    742  O   LYS A  87       4.537  33.631   7.445  1.00 16.12           O\nATOM    743  CB  LYS A  87       2.657  34.064  10.193  1.00 19.83           C\nATOM    744  CG  LYS A  87       1.706  34.802   9.314  1.00 28.76           C\nATOM    745  CD  LYS A  87       0.812  35.557  10.318  1.00 34.43           C\nATOM    746  CE  LYS A  87       0.521  36.873   9.602  1.00 37.16           C\nATOM    747  NZ  LYS A  87      -0.935  37.019   9.342  1.00 43.73           N\nATOM    748  N   PRO A  88       5.565  33.955   9.435  1.00 16.39           N\nATOM    749  CA  PRO A  88       6.673  34.597   8.717  1.00 15.76           C\nATOM    750  C   PRO A  88       7.414  33.635   7.832  1.00 10.91           C\nATOM    751  O   PRO A  88       7.952  34.012   6.823  1.00 12.11           O\nATOM    752  CB  PRO A  88       7.542  35.191   9.825  1.00 18.37           C\nATOM    753  CG  PRO A  88       7.221  34.398  11.034  1.00 18.60           C\nATOM    754  CD  PRO A  88       5.743  34.078  10.917  1.00 19.10           C\nATOM    755  N   LEU A  89       7.519  32.364   8.291  1.00  9.73           N\nATOM    756  CA  LEU A  89       8.268  31.360   7.577  1.00  9.15           C\nATOM    757  C   LEU A  89       7.613  31.042   6.231  1.00  8.31           C\nATOM    758  O   LEU A  89       8.236  30.954   5.184  1.00  8.71           O\nATOM    759  CB  LEU A  89       8.378  30.124   8.463  1.00 10.20           C\nATOM    760  CG  LEU A  89       9.188  29.025   7.891  1.00 10.93           C\nATOM    761  CD1 LEU A  89      10.664  29.406   7.924  1.00 14.70           C\nATOM    762  CD2 LEU A  89       8.988  27.734   8.684  1.00 16.44           C\nATOM    763  N   ALA A  90       6.272  30.801   6.303  1.00  9.61           N\nATOM    764  CA  ALA A  90       5.574  30.545   5.033  1.00 10.97           C\nATOM    765  C   ALA A  90       5.645  31.732   4.100  1.00 11.29           C\nATOM    766  O   ALA A  90       5.820  31.596   2.900  1.00 12.40           O\nATOM    767  CB  ALA A  90       4.102  30.197   5.337  1.00 13.56           C\nATOM    768  N   GLN A  91       5.511  32.940   4.675  1.00 11.82           N\nATOM    769  CA  GLN A  91       5.560  34.119   3.825  1.00 12.94           C\nATOM    770  C   GLN A  91       6.900  34.224   3.139  1.00 11.68           C\nATOM    771  O   GLN A  91       6.956  34.490   1.943  1.00 13.00           O\nATOM    772  CB AGLN A  91       5.216  35.309   4.718  0.53 15.60           C\nATOM    774  CG AGLN A  91       3.800  35.199   5.305  0.53 19.06           C\nATOM    776  CD AGLN A  91       3.483  36.376   6.218  0.53 22.28           C\nATOM    778  OE1AGLN A  91       4.369  36.918   6.875  0.53 34.42           O\nATOM    780  NE2AGLN A  91       2.230  36.786   6.280  0.53 27.89           N\nATOM    782  N   SER A  92       8.010  34.073   3.863  1.00 10.98           N\nATOM    783  CA  SER A  92       9.306  34.227   3.218  1.00 11.66           C\nATOM    784  C   SER A  92       9.565  33.150   2.210  1.00 10.48           C\nATOM    785  O   SER A  92      10.112  33.370   1.144  1.00 11.76           O\nATOM    786  CB  SER A  92      10.418  34.340   4.235  1.00 11.12           C\nATOM    787  OG  SER A  92      10.618  33.093   4.848  1.00 10.81           O\nATOM    788  N   HIS A  93       9.194  31.891   2.617  1.00  9.58           N\nATOM    789  CA  HIS A  93       9.514  30.786   1.728  1.00  9.00           C\nATOM    790  C   HIS A  93       8.666  30.768   0.454  1.00  9.24           C\nATOM    791  O   HIS A  93       9.164  30.388  -0.610  1.00 10.49           O\nATOM    792  CB  HIS A  93       9.503  29.450   2.528  1.00  8.06           C\nATOM    793  CG  HIS A  93      10.705  29.330   3.406  1.00  7.74           C\nATOM    794  ND1 HIS A  93      10.972  30.184   4.450  1.00  9.02           N\nATOM    795  CD2 HIS A  93      11.799  28.490   3.348  1.00  7.27           C\nATOM    796  CE1 HIS A  93      12.167  29.837   4.966  1.00  9.14           C\nATOM    797  NE2 HIS A  93      12.684  28.843   4.360  1.00  7.35           N\nATOM    798  N   ALA A  94       7.414  31.222   0.569  1.00  9.39           N\nATOM    799  CA  ALA A  94       6.586  31.332  -0.638  1.00 10.38           C\nATOM    800  C   ALA A  94       7.018  32.502  -1.492  1.00 11.58           C\nATOM    801  O   ALA A  94       7.172  32.364  -2.717  1.00 15.42           O\nATOM    802  CB  ALA A  94       5.119  31.534  -0.233  1.00 12.11           C\nATOM    803  N   THR A  95       7.137  33.684  -0.891  1.00 12.38           N\nATOM    804  CA  THR A  95       7.192  34.892  -1.699  1.00 14.87           C\nATOM    805  C   THR A  95       8.563  35.404  -1.972  1.00 17.76           C\nATOM    806  O   THR A  95       8.745  36.104  -2.974  1.00 21.92           O\nATOM    807  CB  THR A  95       6.365  36.047  -1.103  1.00 16.61           C\nATOM    808  OG1 THR A  95       7.026  36.621   0.025  1.00 18.90           O\nATOM    809  CG2 THR A  95       5.005  35.602  -0.704  1.00 16.53           C\nATOM    810  N   LYS A  96       9.545  35.154  -1.130  1.00 15.75           N\nATOM    811  CA  LYS A  96      10.872  35.642  -1.314  1.00 15.51           C\nATOM    812  C   LYS A  96      11.823  34.539  -1.767  1.00 14.52           C\nATOM    813  O   LYS A  96      12.535  34.681  -2.743  1.00 20.00           O\nATOM    814  CB ALYS A  96      11.436  36.202   0.005  0.55 17.31           C\nATOM    816  CG ALYS A  96      12.679  37.050  -0.198  0.55 22.89           C\nATOM    818  CD ALYS A  96      13.603  36.966   0.994  0.55 25.64           C\nATOM    820  CE ALYS A  96      12.970  37.433   2.292  0.55 25.33           C\nATOM    822  NZ ALYS A  96      13.768  38.577   2.830  0.55 27.83           N\nATOM    824  N   HIS A  97      11.847  33.420  -1.046  1.00 11.59           N\nATOM    825  CA  HIS A  97      12.824  32.363  -1.384  1.00 11.51           C\nATOM    826  C   HIS A  97      12.300  31.421  -2.469  1.00 12.32           C\nATOM    827  O   HIS A  97      13.104  30.740  -3.117  1.00 14.67           O\nATOM    828  CB  HIS A  97      13.144  31.534  -0.135  1.00 11.26           C\nATOM    829  CG  HIS A  97      13.509  32.374   1.046  1.00 10.63           C\nATOM    830  ND1 HIS A  97      14.351  33.443   0.982  1.00 11.88           N\nATOM    831  CD2 HIS A  97      13.161  32.248   2.351  1.00 10.32           C\nATOM    832  CE1 HIS A  97      14.496  33.938   2.178  1.00 11.88           C\nATOM    833  NE2 HIS A  97      13.756  33.230   3.072  1.00 10.93           N\nATOM    834  N   LYS A  98      10.983  31.377  -2.712  1.00 14.49           N\nATOM    835  CA  LYS A  98      10.342  30.603  -3.756  1.00 17.76           C\nATOM    836  C   LYS A  98      10.650  29.106  -3.669  1.00 15.00           C\nATOM    837  O   LYS A  98      11.156  28.413  -4.556  1.00 15.29           O\nATOM    838  CB  LYS A  98      10.706  31.134  -5.148  1.00 24.55           C\nATOM    839  CG  LYS A  98      10.371  32.603  -5.277  1.00 28.57           C\nATOM    840  CD  LYS A  98       9.859  33.177  -6.560  1.00 31.90           C\nATOM    841  CE  LYS A  98       9.302  34.585  -6.322  1.00 34.29           C\nATOM    842  NZ  LYS A  98       9.849  35.086  -5.019  1.00 41.54           N\nATOM    843  N   ILE A  99      10.233  28.606  -2.495  1.00 13.96           N\nATOM    844  CA  ILE A  99      10.462  27.191  -2.191  1.00 12.88           C\nATOM    845  C   ILE A  99       9.172  26.389  -2.365  1.00 14.07           C\nATOM    846  O   ILE A  99       8.253  26.511  -1.565  1.00 18.45           O\nATOM    847  CB  ILE A  99      11.003  27.062  -0.755  1.00 10.88           C\nATOM    848  CG1 ILE A  99      12.226  27.953  -0.547  1.00 10.15           C\nATOM    849  CG2 ILE A  99      11.274  25.603  -0.423  1.00 11.28           C\nATOM    850  CD1 ILE A  99      13.318  27.764  -1.572  1.00 11.01           C\nATOM    851  N   PRO A 100       9.086  25.479  -3.316  1.00 13.59           N\nATOM    852  CA  PRO A 100       7.889  24.626  -3.368  1.00 13.21           C\nATOM    853  C   PRO A 100       7.670  23.729  -2.154  1.00 13.26           C\nATOM    854  O   PRO A 100       8.615  23.303  -1.547  1.00 12.54           O\nATOM    855  CB  PRO A 100       8.159  23.773  -4.653  1.00 16.77           C\nATOM    856  CG  PRO A 100       9.176  24.503  -5.444  1.00 16.34           C\nATOM    857  CD  PRO A 100      10.021  25.231  -4.419  1.00 14.11           C\nATOM    858  N   ILE A 101       6.376  23.461  -1.905  1.00 14.16           N\nATOM    859  CA  ILE A 101       6.116  22.468  -0.829  1.00 14.82           C\nATOM    860  C   ILE A 101       6.871  21.173  -0.934  1.00 11.32           C\nATOM    861  O   ILE A 101       7.299  20.541   0.032  1.00 11.72           O\nATOM    862  CB  ILE A 101       4.595  22.260  -0.696  1.00 16.18           C\nATOM    863  CG1 ILE A 101       3.876  23.532  -0.324  1.00 16.91           C\nATOM    864  CG2 ILE A 101       4.298  21.214   0.370  1.00 17.93           C\nATOM    865  CD1 ILE A 101       4.250  24.105   1.005  1.00 16.89           C\nATOM    866  N   LYS A 102       7.039  20.688  -2.218  1.00 11.48           N\nATOM    867  CA  LYS A 102       7.758  19.461  -2.429  1.00 11.04           C\nATOM    868  C   LYS A 102       9.160  19.507  -1.821  1.00  8.73           C\nATOM    869  O   LYS A 102       9.689  18.517  -1.331  1.00  9.45           O\nATOM    870  CB  LYS A 102       7.873  19.189  -3.941  1.00 13.50           C\nATOM    871  CG  LYS A 102       8.414  17.828  -4.285  1.00 14.05           C\nATOM    872  CD  LYS A 102       7.352  16.807  -3.901  1.00 18.29           C\nATOM    873  CE  LYS A 102       7.778  15.404  -4.310  1.00 22.86           C\nATOM    874  NZ  LYS A 102       6.766  14.434  -3.882  1.00 19.79           N\nATOM    875  N   TYR A 103       9.793  20.738  -1.886  1.00  8.96           N\nATOM    876  CA  TYR A 103      11.138  20.809  -1.329  1.00  8.59           C\nATOM    877  C   TYR A 103      11.091  20.693   0.207  1.00  7.28           C\nATOM    878  O   TYR A 103      12.059  20.225   0.806  1.00  7.83           O\nATOM    879  CB  TYR A 103      11.818  22.114  -1.744  1.00  8.37           C\nATOM    880  CG  TYR A 103      12.199  22.286  -3.195  1.00  9.25           C\nATOM    881  CD1 TYR A 103      11.623  21.606  -4.246  1.00 12.31           C\nATOM    882  CD2 TYR A 103      13.088  23.274  -3.544  1.00 10.94           C\nATOM    883  CE1 TYR A 103      12.003  21.847  -5.575  1.00 14.28           C\nATOM    884  CE2 TYR A 103      13.519  23.546  -4.819  1.00 13.09           C\nATOM    885  CZ  TYR A 103      12.937  22.821  -5.808  1.00 14.21           C\nATOM    886  OH  TYR A 103      13.299  23.091  -7.141  1.00 19.24           O\nATOM    887  N   LEU A 104       9.986  21.107   0.827  1.00  7.19           N\nATOM    888  CA  LEU A 104       9.785  20.849   2.244  1.00  7.25           C\nATOM    889  C   LEU A 104       9.634  19.353   2.512  1.00  6.99           C\nATOM    890  O   LEU A 104      10.088  18.878   3.569  1.00  7.80           O\nATOM    891  CB  LEU A 104       8.616  21.652   2.785  1.00  8.09           C\nATOM    892  CG  LEU A 104       8.712  23.172   2.584  1.00  9.36           C\nATOM    893  CD1 LEU A 104       7.489  23.843   3.220  1.00 12.92           C\nATOM    894  CD2 LEU A 104       9.963  23.768   3.165  1.00 11.74           C\nATOM    895  N   GLU A 105       9.028  18.589   1.620  1.00  7.05           N\nATOM    896  CA  GLU A 105       9.008  17.144   1.745  1.00  7.50           C\nATOM    897  C   GLU A 105      10.428  16.577   1.711  1.00  6.60           C\nATOM    898  O   GLU A 105      10.803  15.713   2.510  1.00  7.08           O\nATOM    899  CB  GLU A 105       8.092  16.541   0.685  1.00  8.75           C\nATOM    900  CG  GLU A 105       7.960  15.059   0.819  1.00 10.72           C\nATOM    901  CD  GLU A 105       7.162  14.407  -0.274  1.00 12.61           C\nATOM    902  OE1 GLU A 105       6.688  15.099  -1.197  1.00 13.61           O\nATOM    903  OE2 GLU A 105       6.998  13.175  -0.237  1.00 22.97           O\nATOM    904  N   PHE A 106      11.247  17.103   0.777  1.00  6.60           N\nATOM    905  CA  PHE A 106      12.613  16.629   0.659  1.00  6.46           C\nATOM    906  C   PHE A 106      13.406  16.914   1.972  1.00  6.24           C\nATOM    907  O   PHE A 106      14.148  16.036   2.437  1.00  6.41           O\nATOM    908  CB  PHE A 106      13.342  17.303  -0.494  1.00  6.82           C\nATOM    909  CG  PHE A 106      12.757  17.028  -1.859  1.00  7.91           C\nATOM    910  CD1 PHE A 106      12.037  15.895  -2.154  1.00  9.95           C\nATOM    911  CD2 PHE A 106      12.975  17.974  -2.860  1.00  9.20           C\nATOM    912  CE1 PHE A 106      11.525  15.717  -3.444  1.00 11.94           C\nATOM    913  CE2 PHE A 106      12.505  17.796  -4.145  1.00 12.46           C\nATOM    914  CZ  PHE A 106      11.777  16.656  -4.411  1.00 12.72           C\nATOM    915  N   ILE A 107      13.288  18.108   2.534  1.00  5.88           N\nATOM    916  CA  ILE A 107      14.057  18.362   3.765  1.00  5.80           C\nATOM    917  C   ILE A 107      13.546  17.500   4.901  1.00  6.04           C\nATOM    918  O   ILE A 107      14.297  17.081   5.783  1.00  6.31           O\nATOM    919  CB  ILE A 107      14.172  19.849   4.117  1.00  6.03           C\nATOM    920  CG1 ILE A 107      15.367  20.087   5.025  1.00  6.64           C\nATOM    921  CG2 ILE A 107      12.881  20.418   4.703  1.00  6.78           C\nATOM    922  CD1 ILE A 107      15.633  21.546   5.299  1.00  7.66           C\nATOM    923  N   SER A 108      12.218  17.236   4.918  1.00  6.15           N\nATOM    924  CA  SER A 108      11.687  16.345   5.936  1.00  6.93           C\nATOM    925  C   SER A 108      12.302  14.944   5.854  1.00  6.44           C\nATOM    926  O   SER A 108      12.627  14.346   6.861  1.00  7.49           O\nATOM    927  CB  SER A 108      10.152  16.316   5.802  1.00  7.74           C\nATOM    928  OG  SER A 108       9.539  17.536   6.025  1.00  9.76           O\nATOM    929  N   GLU A 109      12.454  14.437   4.630  1.00  6.78           N\nATOM    930  CA  GLU A 109      13.115  13.145   4.470  1.00  7.75           C\nATOM    931  C   GLU A 109      14.551  13.183   4.960  1.00  6.83           C\nATOM    932  O   GLU A 109      14.994  12.244   5.620  1.00  7.49           O\nATOM    933  CB AGLU A 109      13.113  12.696   2.993  0.66 10.01           C\nATOM    935  CG AGLU A 109      13.723  11.377   2.647  0.66 18.52           C\nATOM    937  CD AGLU A 109      15.211  11.139   2.700  0.66 19.16           C\nATOM    939  OE1AGLU A 109      16.077  12.051   2.524  0.66 19.66           O\nATOM    941  OE2AGLU A 109      15.527   9.914   2.908  0.66 23.55           O\nATOM    943  N   ALA A 110      15.256  14.273   4.696  1.00  6.61           N\nATOM    944  CA  ALA A 110      16.627  14.390   5.174  1.00  7.01           C\nATOM    945  C   ALA A 110      16.707  14.462   6.688  1.00  6.26           C\nATOM    946  O   ALA A 110      17.589  13.831   7.296  1.00  7.31           O\nATOM    947  CB  ALA A 110      17.281  15.641   4.558  1.00  7.35           C\nATOM    948  N   ILE A 111      15.784  15.190   7.321  1.00  6.31           N\nATOM    949  CA  ILE A 111      15.709  15.246   8.776  1.00  6.47           C\nATOM    950  C   ILE A 111      15.526  13.860   9.339  1.00  6.74           C\nATOM    951  O   ILE A 111      16.225  13.441  10.271  1.00  7.27           O\nATOM    952  CB  ILE A 111      14.582  16.191   9.242  1.00  6.61           C\nATOM    953  CG1 ILE A 111      14.939  17.647   8.877  1.00  6.39           C\nATOM    954  CG2 ILE A 111      14.279  16.055  10.706  1.00  7.50           C\nATOM    955  CD1 ILE A 111      13.715  18.571   8.814  1.00  7.33           C\nATOM    956  N   ILE A 112      14.543  13.116   8.833  1.00  6.92           N\nATOM    957  CA  ILE A 112      14.260  11.788   9.333  1.00  7.86           C\nATOM    958  C   ILE A 112      15.462  10.875   9.171  1.00  7.51           C\nATOM    959  O   ILE A 112      15.814  10.104  10.078  1.00  8.59           O\nATOM    960  CB  ILE A 112      12.970  11.239   8.675  1.00  9.20           C\nATOM    961  CG1 ILE A 112      11.773  12.068   9.140  1.00 11.71           C\nATOM    962  CG2 ILE A 112      12.780   9.767   8.898  1.00 12.81           C\nATOM    963  CD1 ILE A 112      10.479  11.880   8.382  1.00 13.59           C\nATOM    964  N   HIS A 113      16.116  10.945   8.009  1.00  7.82           N\nATOM    965  CA  HIS A 113      17.275  10.093   7.795  1.00  8.77           C\nATOM    966  C   HIS A 113      18.396  10.366   8.801  1.00  8.00           C\nATOM    967  O   HIS A 113      18.974   9.440   9.358  1.00  8.90           O\nATOM    968  CB  HIS A 113      17.761  10.347   6.354  1.00 10.47           C\nATOM    969  CG  HIS A 113      18.896   9.424   6.014  1.00 15.16           C\nATOM    970  ND1 HIS A 113      20.202   9.526   6.350  1.00 22.26           N\nATOM    971  CD2 HIS A 113      18.732   8.265   5.318  1.00 19.52           C\nATOM    972  CE1 HIS A 113      20.857   8.475   5.856  1.00 23.79           C\nATOM    973  NE2 HIS A 113      19.977   7.673   5.219  1.00 24.56           N\nATOM    974  N   VAL A 114      18.704  11.653   9.008  1.00  7.39           N\nATOM    975  CA  VAL A 114      19.775  12.019   9.928  1.00  7.54           C\nATOM    976  C   VAL A 114      19.443  11.670  11.357  1.00  7.05           C\nATOM    977  O   VAL A 114      20.278  11.166  12.103  1.00  7.74           O\nATOM    978  CB  VAL A 114      20.136  13.506   9.730  1.00  7.19           C\nATOM    979  CG1 VAL A 114      21.031  13.998  10.840  1.00  8.55           C\nATOM    980  CG2 VAL A 114      20.771  13.714   8.363  1.00  8.25           C\nATOM    981  N   LEU A 115      18.172  11.858  11.756  1.00  7.08           N\nATOM    982  CA  LEU A 115      17.789  11.469  13.102  1.00  7.22           C\nATOM    983  C   LEU A 115      17.961   9.969  13.307  1.00  7.38           C\nATOM    984  O   LEU A 115      18.362   9.496  14.362  1.00  8.14           O\nATOM    985  CB ALEU A 115      16.437  12.026  13.484  0.48  6.83           C\nATOM    987  CG ALEU A 115      16.424  13.419  14.104  0.48  5.89           C\nATOM    989  CD1ALEU A 115      17.155  14.434  13.259  0.48  7.04           C\nATOM    991  CD2ALEU A 115      14.969  13.794  14.327  0.48  8.08           C\nATOM    993  N   HIS A 116      17.637   9.175  12.283  1.00  7.85           N\nATOM    994  CA  HIS A 116      17.791   7.733  12.402  1.00  8.47           C\nATOM    995  C   HIS A 116      19.243   7.345  12.560  1.00  8.48           C\nATOM    996  O   HIS A 116      19.602   6.463  13.313  1.00  9.96           O\nATOM    997  CB AHIS A 116      17.176   7.162  11.108  0.54 11.95           C\nATOM    999  CG AHIS A 116      17.268   5.669  11.121  0.54 13.56           C\nATOM   1001  ND1AHIS A 116      18.274   5.006  10.457  0.54 16.88           N\nATOM   1003  CD2AHIS A 116      16.503   4.742  11.718  0.54 13.58           C\nATOM   1005  CE1AHIS A 116      18.113   3.701  10.644  0.54 16.37           C\nATOM   1007  NE2AHIS A 116      17.032   3.507  11.418  0.54 15.48           N\nATOM   1009  N   SER A 117      20.119   7.991  11.763  1.00  8.89           N\nATOM   1010  CA  SER A 117      21.547   7.695  11.850  1.00 10.16           C\nATOM   1011  C   SER A 117      22.143   8.095  13.193  1.00  9.41           C\nATOM   1012  O   SER A 117      22.982   7.339  13.746  1.00 11.93           O\nATOM   1013  CB ASER A 117      22.253   8.501  10.751  0.56 11.88           C\nATOM   1015  OG ASER A 117      21.936   8.176   9.423  0.56 12.44           O\nATOM   1017  N   ARG A 118      21.751   9.250  13.707  1.00  8.03           N\nATOM   1018  CA  ARG A 118      22.379   9.795  14.916  1.00  8.17           C\nATOM   1019  C   ARG A 118      21.766   9.229  16.198  1.00  7.69           C\nATOM   1020  O   ARG A 118      22.420   9.262  17.236  1.00  8.83           O\nATOM   1021  CB AARG A 118      22.263  11.316  14.948  0.48  8.58           C\nATOM   1023  CG AARG A 118      23.352  11.941  14.089  0.48  7.68           C\nATOM   1025  CD AARG A 118      23.310  13.419  14.064  0.48 10.64           C\nATOM   1027  NE AARG A 118      24.378  14.046  13.276  0.48  9.06           N\nATOM   1029  CZ AARG A 118      25.358  14.750  13.847  0.48  9.25           C\nATOM   1031  NH1AARG A 118      25.443  14.907  15.135  0.48 10.54           N\nATOM   1033  NH2AARG A 118      26.280  15.327  13.102  0.48  9.90           N\nATOM   1035  N   HIS A 119      20.470   8.834  16.168  1.00  7.31           N\nATOM   1036  CA  HIS A 119      19.746   8.538  17.398  1.00  7.23           C\nATOM   1037  C   HIS A 119      18.920   7.261  17.279  1.00  7.23           C\nATOM   1038  O   HIS A 119      17.747   7.241  17.604  1.00  7.69           O\nATOM   1039  CB  HIS A 119      18.818   9.679  17.813  1.00  7.71           C\nATOM   1040  CG  HIS A 119      19.518  11.002  17.809  1.00  7.61           C\nATOM   1041  ND1 HIS A 119      20.563  11.297  18.610  1.00  7.69           N\nATOM   1042  CD2 HIS A 119      19.374  12.062  16.981  1.00  8.76           C\nATOM   1043  CE1 HIS A 119      21.024  12.520  18.317  1.00  8.07           C\nATOM   1044  NE2 HIS A 119      20.277  13.015  17.307  1.00  9.51           N\nATOM   1045  N   PRO A 120      19.539   6.166  16.831  1.00  8.28           N\nATOM   1046  CA  PRO A 120      18.711   4.970  16.538  1.00  8.72           C\nATOM   1047  C   PRO A 120      17.915   4.476  17.753  1.00  8.29           C\nATOM   1048  O   PRO A 120      16.753   4.048  17.612  1.00  9.63           O\nATOM   1049  CB  PRO A 120      19.721   3.942  16.058  1.00 10.13           C\nATOM   1050  CG  PRO A 120      21.064   4.417  16.596  1.00 10.54           C\nATOM   1051  CD  PRO A 120      20.948   5.913  16.540  1.00  9.31           C\nATOM   1052  N   GLY A 121      18.516   4.499  18.941  1.00  8.65           N\nATOM   1053  CA  GLY A 121      17.835   4.026  20.120  1.00 10.28           C\nATOM   1054  C   GLY A 121      16.637   4.833  20.538  1.00  9.48           C\nATOM   1055  O   GLY A 121      15.787   4.339  21.268  1.00 14.08           O\nATOM   1056  N   ASP A 122      16.521   6.073  20.070  1.00  8.10           N\nATOM   1057  CA  ASP A 122      15.404   6.957  20.340  1.00  8.74           C\nATOM   1058  C   ASP A 122      14.642   7.275  19.056  1.00  8.20           C\nATOM   1059  O   ASP A 122      13.860   8.234  19.028  1.00 10.36           O\nATOM   1060  CB  ASP A 122      15.874   8.232  21.061  1.00 10.63           C\nATOM   1061  CG  ASP A 122      16.387   7.891  22.436  1.00 11.24           C\nATOM   1062  OD1 ASP A 122      15.658   7.520  23.333  1.00 13.51           O\nATOM   1063  OD2 ASP A 122      17.654   7.943  22.607  1.00 14.04           O\nATOM   1064  N   PHE A 123      14.847   6.454  18.049  1.00  8.31           N\nATOM   1065  CA  PHE A 123      14.257   6.723  16.762  1.00  8.52           C\nATOM   1066  C   PHE A 123      13.903   5.410  16.098  1.00  8.86           C\nATOM   1067  O   PHE A 123      14.194   5.181  14.910  1.00 10.04           O\nATOM   1068  CB  PHE A 123      15.142   7.626  15.880  1.00  9.17           C\nATOM   1069  CG  PHE A 123      14.342   8.437  14.886  1.00  8.65           C\nATOM   1070  CD1 PHE A 123      13.420   9.366  15.336  1.00  9.05           C\nATOM   1071  CD2 PHE A 123      14.478   8.292  13.519  1.00  9.01           C\nATOM   1072  CE1 PHE A 123      12.694  10.154  14.467  1.00  9.80           C\nATOM   1073  CE2 PHE A 123      13.771   9.076  12.648  1.00 10.18           C\nATOM   1074  CZ  PHE A 123      12.886  10.017  13.098  1.00  9.77           C\nATOM   1075  N   GLY A 124      13.315   4.496  16.870  1.00  9.42           N\nATOM   1076  CA  GLY A 124      12.716   3.308  16.306  1.00 10.88           C\nATOM   1077  C   GLY A 124      11.462   3.671  15.533  1.00 10.21           C\nATOM   1078  O   GLY A 124      11.128   4.850  15.334  1.00  9.99           O\nATOM   1079  N   ALA A 125      10.772   2.642  15.048  1.00 11.67           N\nATOM   1080  CA  ALA A 125       9.677   2.882  14.124  1.00 11.04           C\nATOM   1081  C   ALA A 125       8.602   3.751  14.717  1.00  9.87           C\nATOM   1082  O   ALA A 125       8.016   4.582  14.011  1.00  9.52           O\nATOM   1083  CB  ALA A 125       9.093   1.523  13.755  1.00 14.50           C\nATOM   1084  N   ASP A 126       8.270   3.565  15.976  1.00 11.08           N\nATOM   1085  CA  ASP A 126       7.233   4.374  16.546  1.00 11.02           C\nATOM   1086  C   ASP A 126       7.621   5.880  16.478  1.00  8.29           C\nATOM   1087  O   ASP A 126       6.797   6.736  16.107  1.00  8.53           O\nATOM   1088  CB AASP A 126       7.064   3.942  17.979  0.66 13.48           C\nATOM   1090  CG AASP A 126       8.293   3.902  18.850  0.66 12.65           C\nATOM   1092  OD1AASP A 126       9.498   3.969  18.533  0.66 15.72           O\nATOM   1094  OD2AASP A 126       8.000   3.735  20.078  0.66 17.39           O\nATOM   1096  N   ALA A 127       8.823   6.194  16.883  1.00  8.79           N\nATOM   1097  CA  ALA A 127       9.304   7.565  16.861  1.00  8.18           C\nATOM   1098  C   ALA A 127       9.442   8.093  15.435  1.00  7.64           C\nATOM   1099  O   ALA A 127       9.164   9.274  15.185  1.00  7.67           O\nATOM   1100  CB  ALA A 127      10.625   7.681  17.590  1.00  9.02           C\nATOM   1101  N   GLN A 128       9.874   7.235  14.500  1.00  7.96           N\nATOM   1102  CA  GLN A 128       9.949   7.650  13.096  1.00  8.11           C\nATOM   1103  C   GLN A 128       8.576   8.028  12.581  1.00  7.87           C\nATOM   1104  O   GLN A 128       8.388   9.014  11.890  1.00  8.27           O\nATOM   1105  CB AGLN A 128      10.379   6.436  12.251  0.56 10.49           C\nATOM   1107  CG AGLN A 128      11.841   6.127  12.453  0.56 10.72           C\nATOM   1109  CD AGLN A 128      12.195   4.761  11.896  0.56 11.22           C\nATOM   1111  OE1AGLN A 128      11.700   4.456  10.798  0.56 10.25           O\nATOM   1113  NE2AGLN A 128      12.986   3.927  12.624  0.56  9.36           N\nATOM   1115  N   GLY A 129       7.564   7.184  12.894  1.00  8.37           N\nATOM   1116  CA  GLY A 129       6.217   7.508  12.465  1.00  8.55           C\nATOM   1117  C   GLY A 129       5.718   8.809  13.060  1.00  7.46           C\nATOM   1118  O   GLY A 129       5.064   9.616  12.377  1.00  8.20           O\nATOM   1119  N   ALA A 130       5.988   9.035  14.351  1.00  7.23           N\nATOM   1120  CA  ALA A 130       5.547  10.263  14.986  1.00  6.88           C\nATOM   1121  C   ALA A 130       6.215  11.484  14.398  1.00  6.21           C\nATOM   1122  O   ALA A 130       5.583  12.512  14.174  1.00  6.60           O\nATOM   1123  CB  ALA A 130       5.818  10.167  16.489  1.00  8.08           C\nATOM   1124  N   MET A 131       7.535  11.399  14.147  1.00  6.56           N\nATOM   1125  CA  MET A 131       8.242  12.520  13.528  1.00  6.53           C\nATOM   1126  C   MET A 131       7.735  12.770  12.099  1.00  6.95           C\nATOM   1127  O   MET A 131       7.559  13.934  11.699  1.00  7.23           O\nATOM   1128  CB  MET A 131       9.733  12.250  13.513  1.00  7.12           C\nATOM   1129  CG  MET A 131      10.551  13.438  12.970  1.00  7.77           C\nATOM   1130  SD  MET A 131      10.389  15.014  13.848  1.00  8.39           S\nATOM   1131  CE  MET A 131      11.379  14.613  15.276  1.00 10.49           C\nATOM   1132  N   ASN A 132       7.455  11.707  11.363  1.00  7.56           N\nATOM   1133  CA  ASN A 132       6.863  11.899  10.049  1.00  8.74           C\nATOM   1134  C   ASN A 132       5.550  12.650  10.192  1.00  7.19           C\nATOM   1135  O   ASN A 132       5.265  13.562   9.417  1.00  7.80           O\nATOM   1136  CB  ASN A 132       6.655  10.534   9.395  1.00 11.32           C\nATOM   1137  CG  ASN A 132       6.120  10.850   8.024  1.00 13.60           C\nATOM   1138  OD1 ASN A 132       6.738  11.486   7.139  1.00 14.92           O\nATOM   1139  ND2 ASN A 132       4.906  10.396   7.855  1.00 17.11           N\nATOM   1140  N   LYS A 133       4.716  12.298  11.148  1.00  7.17           N\nATOM   1141  CA  LYS A 133       3.438  12.982  11.347  1.00  7.14           C\nATOM   1142  C   LYS A 133       3.655  14.450  11.708  1.00  6.29           C\nATOM   1143  O   LYS A 133       2.910  15.322  11.220  1.00  6.51           O\nATOM   1144  CB ALYS A 133       2.536  12.345  12.416  0.55  7.50           C\nATOM   1146  CG ALYS A 133       1.850  11.073  12.117  0.55  8.69           C\nATOM   1148  CD ALYS A 133       0.893  10.594  13.202  0.55 11.34           C\nATOM   1150  CE ALYS A 133       0.117   9.378  12.682  0.55 16.34           C\nATOM   1152  NZ ALYS A 133      -1.007   9.033  13.586  0.55 28.47           N\nATOM   1154  N   ALA A 134       4.635  14.756  12.545  1.00  6.01           N\nATOM   1155  CA  ALA A 134       4.895  16.149  12.919  1.00  5.80           C\nATOM   1156  C   ALA A 134       5.346  16.951  11.717  1.00  5.70           C\nATOM   1157  O   ALA A 134       4.953  18.112  11.545  1.00  6.34           O\nATOM   1158  CB  ALA A 134       5.970  16.201  14.023  1.00  6.84           C\nATOM   1159  N   LEU A 135       6.200  16.366  10.865  1.00  5.67           N\nATOM   1160  CA  LEU A 135       6.692  17.097   9.700  1.00  6.23           C\nATOM   1161  C   LEU A 135       5.606  17.190   8.632  1.00  6.11           C\nATOM   1162  O   LEU A 135       5.537  18.191   7.908  1.00  7.01           O\nATOM   1163  CB  LEU A 135       7.965  16.474   9.176  1.00  6.42           C\nATOM   1164  CG  LEU A 135       9.120  16.528  10.187  1.00  7.28           C\nATOM   1165  CD1 LEU A 135      10.314  15.752   9.645  1.00  9.61           C\nATOM   1166  CD2 LEU A 135       9.474  17.947  10.564  1.00 13.11           C\nATOM   1167  N   GLU A 136       4.722  16.197   8.541  1.00  6.44           N\nATOM   1168  CA  GLU A 136       3.559  16.304   7.698  1.00  7.16           C\nATOM   1169  C   GLU A 136       2.679  17.468   8.158  1.00  6.56           C\nATOM   1170  O   GLU A 136       2.147  18.220   7.313  1.00  7.26           O\nATOM   1171  CB AGLU A 136       2.727  15.006   7.754  0.57  9.19           C\nATOM   1173  CG AGLU A 136       3.409  13.915   6.948  0.57 10.36           C\nATOM   1175  CD AGLU A 136       2.718  12.595   7.082  0.57 15.02           C\nATOM   1177  OE1AGLU A 136       1.931  12.323   8.012  0.57 16.44           O\nATOM   1179  OE2AGLU A 136       2.964  11.731   6.190  0.57 21.19           O\nATOM   1181  N   LEU A 137       2.443  17.602   9.454  1.00  6.70           N\nATOM   1182  CA  LEU A 137       1.616  18.702   9.956  1.00  6.70           C\nATOM   1183  C   LEU A 137       2.209  20.055   9.606  1.00  6.55           C\nATOM   1184  O   LEU A 137       1.535  20.978   9.166  1.00  6.90           O\nATOM   1185  CB  LEU A 137       1.467  18.550  11.449  1.00  7.48           C\nATOM   1186  CG  LEU A 137       0.674  19.650  12.157  1.00  8.38           C\nATOM   1187  CD1 LEU A 137      -0.768  19.694  11.671  1.00 11.59           C\nATOM   1188  CD2 LEU A 137       0.770  19.510  13.646  1.00 10.43           C\nATOM   1189  N   PHE A 138       3.535  20.164   9.777  1.00  6.64           N\nATOM   1190  CA  PHE A 138       4.269  21.352   9.382  1.00  6.76           C\nATOM   1191  C   PHE A 138       3.989  21.687   7.929  1.00  6.69           C\nATOM   1192  O   PHE A 138       3.628  22.819   7.575  1.00  7.40           O\nATOM   1193  CB APHE A 138       5.772  21.053   9.617  0.49  7.62           C\nATOM   1195  CG APHE A 138       6.848  21.984   9.142  0.49  6.67           C\nATOM   1197  CD1APHE A 138       7.175  23.153   9.814  0.49  8.70           C\nATOM   1199  CD2APHE A 138       7.531  21.700   7.978  0.49  7.62           C\nATOM   1201  CE1APHE A 138       8.156  24.002   9.328  0.49  9.12           C\nATOM   1203  CE2APHE A 138       8.517  22.545   7.485  0.49  8.22           C\nATOM   1205  CZ APHE A 138       8.804  23.717   8.159  0.49  9.12           C\nATOM   1207  N   ARG A 139       4.160  20.696   7.046  1.00  7.16           N\nATOM   1208  CA  ARG A 139       3.948  20.902   5.620  1.00  8.27           C\nATOM   1209  C   ARG A 139       2.487  21.255   5.318  1.00  7.75           C\nATOM   1210  O   ARG A 139       2.249  22.134   4.443  1.00  8.35           O\nATOM   1211  CB  ARG A 139       4.361  19.649   4.823  1.00  8.27           C\nATOM   1212  CG  ARG A 139       5.792  19.365   4.783  1.00  9.77           C\nATOM   1213  CD  ARG A 139       6.170  18.451   3.655  1.00 11.86           C\nATOM   1214  NE  ARG A 139       5.533  17.132   3.516  1.00 10.23           N\nATOM   1215  CZ  ARG A 139       5.878  16.134   4.268  1.00  9.88           C\nATOM   1216  NH1 ARG A 139       6.808  16.237   5.196  1.00 11.77           N\nATOM   1217  NH2 ARG A 139       5.364  14.987   4.038  1.00 12.14           N\nATOM   1218  N   LYS A 140       1.550  20.574   5.945  1.00  7.77           N\nATOM   1219  CA  LYS A 140       0.136  20.841   5.720  1.00  8.33           C\nATOM   1220  C   LYS A 140      -0.145  22.296   5.996  1.00  7.16           C\nATOM   1221  O   LYS A 140      -0.844  23.004   5.223  1.00  8.35           O\nATOM   1222  CB  LYS A 140      -0.696  19.928   6.652  1.00  9.78           C\nATOM   1223  CG  LYS A 140      -2.194  20.239   6.636  1.00 13.19           C\nATOM   1224  CD  LYS A 140      -2.938  19.434   7.728  1.00 17.91           C\nATOM   1225  CE  LYS A 140      -4.359  19.848   7.902  1.00 25.51           C\nATOM   1226  NZ  LYS A 140      -5.196  19.152   8.879  1.00 36.31           N\nATOM   1227  N   ASP A 141       0.334  22.771   7.136  1.00  7.19           N\nATOM   1228  CA  ASP A 141       0.017  24.122   7.544  1.00  7.76           C\nATOM   1229  C   ASP A 141       0.734  25.164   6.735  1.00  7.80           C\nATOM   1230  O   ASP A 141       0.136  26.222   6.407  1.00  9.49           O\nATOM   1231  CB  ASP A 141       0.225  24.259   9.044  1.00  8.00           C\nATOM   1232  CG  ASP A 141      -0.770  23.522   9.937  1.00  9.01           C\nATOM   1233  OD1 ASP A 141      -1.786  23.021   9.398  1.00 11.21           O\nATOM   1234  OD2 ASP A 141      -0.537  23.469  11.171  1.00 10.79           O\nATOM   1235  N   ILE A 142       1.972  24.913   6.355  1.00  7.51           N\nATOM   1236  CA  ILE A 142       2.632  25.820   5.403  1.00  7.71           C\nATOM   1237  C   ILE A 142       1.877  25.821   4.076  1.00  7.82           C\nATOM   1238  O   ILE A 142       1.702  26.897   3.495  1.00  8.54           O\nATOM   1239  CB AILE A 142       4.118  25.396   5.225  0.67  8.65           C\nATOM   1241  CG1AILE A 142       4.942  25.567   6.467  0.67  8.77           C\nATOM   1243  CG2AILE A 142       4.712  26.220   4.070  0.67  9.12           C\nATOM   1245  CD1AILE A 142       5.220  26.997   6.872  0.67 10.55           C\nATOM   1247  N   ALA A 143       1.483  24.673   3.579  1.00  8.08           N\nATOM   1248  CA  ALA A 143       0.809  24.596   2.290  1.00  8.90           C\nATOM   1249  C   ALA A 143      -0.456  25.405   2.295  1.00  8.58           C\nATOM   1250  O   ALA A 143      -0.783  26.036   1.262  1.00  9.56           O\nATOM   1251  CB  ALA A 143       0.518  23.127   1.967  1.00  9.74           C\nATOM   1252  N   ALA A 144      -1.186  25.438   3.398  1.00  8.71           N\nATOM   1253  CA  ALA A 144      -2.420  26.238   3.433  1.00  9.39           C\nATOM   1254  C   ALA A 144      -2.105  27.704   3.300  1.00 10.04           C\nATOM   1255  O   ALA A 144      -2.854  28.464   2.675  1.00 11.60           O\nATOM   1256  CB  ALA A 144      -3.209  25.926   4.709  1.00 10.62           C\nATOM   1257  N   LYS A 145      -1.015  28.175   3.896  1.00  9.14           N\nATOM   1258  CA  LYS A 145      -0.593  29.539   3.774  1.00 10.64           C\nATOM   1259  C   LYS A 145      -0.120  29.857   2.355  1.00 10.74           C\nATOM   1260  O   LYS A 145      -0.405  30.909   1.769  1.00 12.95           O\nATOM   1261  CB  LYS A 145       0.467  29.898   4.793  1.00 11.56           C\nATOM   1262  CG  LYS A 145       0.069  29.802   6.266  1.00 18.08           C\nATOM   1263  CD  LYS A 145      -0.936  30.870   6.688  1.00 28.19           C\nATOM   1264  CE  LYS A 145      -1.826  30.400   7.826  1.00 35.37           C\nATOM   1265  NZ  LYS A 145      -2.979  29.618   7.269  1.00 25.89           N\nATOM   1266  N   TYR A 146       0.639  28.922   1.766  1.00  9.77           N\nATOM   1267  CA  TYR A 146       1.041  29.069   0.360  1.00 10.61           C\nATOM   1268  C   TYR A 146      -0.225  29.250  -0.498  1.00 11.15           C\nATOM   1269  O   TYR A 146      -0.235  30.068  -1.410  1.00 14.42           O\nATOM   1270  CB ATYR A 146       1.710  27.777  -0.048  0.49  9.16           C\nATOM   1272  CG ATYR A 146       3.173  27.757   0.281  0.49  8.53           C\nATOM   1274  CD1ATYR A 146       3.788  28.561   1.241  0.49  8.42           C\nATOM   1276  CD2ATYR A 146       3.968  26.870  -0.422  0.49  9.27           C\nATOM   1278  CE1ATYR A 146       5.152  28.481   1.483  0.49  7.75           C\nATOM   1280  CE2ATYR A 146       5.321  26.777  -0.189  0.49  9.67           C\nATOM   1282  CZ ATYR A 146       5.909  27.571   0.769  0.49  7.69           C\nATOM   1284  OH ATYR A 146       7.259  27.492   0.986  0.49  9.53           O\nATOM   1286  N   LYS A 147      -1.250  28.453  -0.279  1.00 12.41           N\nATOM   1287  CA  LYS A 147      -2.455  28.490  -1.105  1.00 15.07           C\nATOM   1288  C   LYS A 147      -3.090  29.853  -0.959  1.00 15.77           C\nATOM   1289  O   LYS A 147      -3.519  30.453  -1.970  1.00 18.81           O\nATOM   1290  CB  LYS A 147      -3.366  27.310  -0.725  1.00 15.52           C\nATOM   1291  CG  LYS A 147      -4.628  27.221  -1.592  1.00 16.76           C\nATOM   1292  CD  LYS A 147      -5.563  26.087  -1.202  1.00 22.46           C\nATOM   1293  CE  LYS A 147      -6.875  26.138  -1.994  1.00 30.28           C\nATOM   1294  NZ  LYS A 147      -6.907  25.262  -3.177  1.00 41.60           N\nATOM   1295  N   GLU A 148      -3.213  30.366   0.248  1.00 16.07           N\nATOM   1296  CA  GLU A 148      -3.772  31.712   0.449  1.00 18.47           C\nATOM   1297  C   GLU A 148      -3.044  32.694  -0.447  1.00 19.64           C\nATOM   1298  O   GLU A 148      -3.667  33.536  -1.110  1.00 23.57           O\nATOM   1299  CB  GLU A 148      -3.659  32.032   1.924  1.00 19.68           C\nATOM   1300  CG  GLU A 148      -4.001  33.475   2.276  1.00 23.62           C\nATOM   1301  CD  GLU A 148      -3.705  33.769   3.736  1.00 27.20           C\nATOM   1302  OE1 GLU A 148      -3.482  32.863   4.562  1.00 30.79           O\nATOM   1303  OE2 GLU A 148      -3.659  34.981   4.054  1.00 39.07           O\nATOM   1304  N   LEU A 149      -1.718  32.624  -0.469  1.00 14.93           N\nATOM   1305  CA  LEU A 149      -0.870  33.550  -1.190  1.00 15.84           C\nATOM   1306  C   LEU A 149      -0.743  33.299  -2.689  1.00 15.52           C\nATOM   1307  O   LEU A 149      -0.105  34.094  -3.379  1.00 21.00           O\nATOM   1308  CB  LEU A 149       0.513  33.513  -0.534  1.00 14.38           C\nATOM   1309  CG  LEU A 149       0.602  34.120   0.856  1.00 15.73           C\nATOM   1310  CD1 LEU A 149       1.972  33.825   1.441  1.00 18.02           C\nATOM   1311  CD2 LEU A 149       0.338  35.610   0.807  1.00 27.92           C\nATOM   1312  N   GLY A 150      -1.327  32.199  -3.108  1.00 14.64           N\nATOM   1313  CA  GLY A 150      -1.223  31.968  -4.522  1.00 15.82           C\nATOM   1314  C   GLY A 150       0.015  31.316  -4.997  1.00 15.12           C\nATOM   1315  O   GLY A 150       0.306  31.382  -6.183  1.00 17.79           O\nATOM   1316  N   TYR A 151       0.741  30.645  -4.124  1.00 16.93           N\nATOM   1317  CA  TYR A 151       1.894  29.853  -4.417  1.00 20.10           C\nATOM   1318  C   TYR A 151       1.705  28.352  -4.172  1.00 26.94           C\nATOM   1319  O   TYR A 151       2.668  27.575  -4.301  1.00 41.24           O\nATOM   1320  CB ATYR A 151       3.020  30.468  -3.455  0.50 17.82           C\nATOM   1322  CG ATYR A 151       4.370  29.863  -3.805  0.50 15.18           C\nATOM   1324  CD1ATYR A 151       4.979  30.177  -5.030  0.50 15.93           C\nATOM   1326  CD2ATYR A 151       4.995  28.955  -2.949  0.50 14.01           C\nATOM   1328  CE1ATYR A 151       6.194  29.598  -5.347  0.50 16.35           C\nATOM   1330  CE2ATYR A 151       6.178  28.389  -3.312  0.50 15.27           C\nATOM   1332  CZ ATYR A 151       6.777  28.710  -4.502  0.50 14.13           C\nATOM   1334  OH ATYR A 151       7.987  28.116  -4.803  0.50 17.35           O\nATOM   1336  OXT TYR A 151       0.630  27.882  -3.781  1.00 34.27           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.003",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.418",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.500",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.583",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1A6M-DS-2-6",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 7 residues involved, from chain A of PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "1A6M-6-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      8  N   LEU A   2      -1.505  15.117  16.120  1.00 12.20           N\nATOM      9  CA  LEU A   2      -0.689  14.190  16.862  1.00 11.02           C\nATOM     10  C   LEU A   2      -1.259  13.996  18.256  1.00 10.93           C\nATOM     11  O   LEU A   2      -1.749  14.945  18.871  1.00 13.56           O\nATOM     12  CB  LEU A   2       0.775  14.633  17.025  1.00 10.42           C\nATOM     13  CG  LEU A   2       1.674  14.423  15.779  1.00 10.30           C\nATOM     14  CD1 LEU A   2       1.342  15.352  14.633  1.00 10.58           C\nATOM     15  CD2 LEU A   2       3.133  14.550  16.182  1.00 10.23           C\nATOM     40  N   GLU A   6       2.530  10.707  20.701  1.00  9.60           N\nATOM     41  CA  GLU A   6       3.317  10.981  19.508  1.00  8.59           C\nATOM     42  C   GLU A   6       4.216  12.212  19.738  1.00  8.27           C\nATOM     43  O   GLU A   6       5.407  12.201  19.382  1.00  8.13           O\nATOM     44  CB  GLU A   6       2.436  11.114  18.299  1.00  9.28           C\nATOM     45  CG  GLU A   6       1.836   9.783  17.836  1.00 10.32           C\nATOM     46  CD  GLU A   6       0.640   9.901  16.938  1.00 10.53           C\nATOM     47  OE1 GLU A   6      -0.054  10.927  16.857  1.00 11.96           O\nATOM     48  OE2 GLU A   6       0.421   8.888  16.190  1.00 13.21           O\nATOM    464  N   ALA A  53      32.691  17.533   0.425  1.00  8.50           N\nATOM    465  CA  ALA A  53      33.737  18.078   1.267  1.00  9.32           C\nATOM    466  C   ALA A  53      33.663  19.594   1.350  1.00  8.50           C\nATOM    467  O   ALA A  53      33.828  20.166   2.443  1.00  8.94           O\nATOM    468  CB  ALA A  53      35.104  17.655   0.743  1.00 12.29           C\nATOM    500  N   ALA A  57      32.952  21.864   4.768  1.00  7.75           N\nATOM    501  CA  ALA A  57      33.926  22.865   5.171  1.00  8.03           C\nATOM    502  C   ALA A  57      33.334  24.274   5.227  1.00  7.71           C\nATOM    503  O   ALA A  57      34.107  25.210   5.532  1.00 10.38           O\nATOM    504  CB  ALA A  57      35.091  22.835   4.205  1.00  9.86           C\nATOM    843  N   ILE A  99      10.233  28.606  -2.495  1.00 13.96           N\nATOM    844  CA  ILE A  99      10.462  27.191  -2.191  1.00 12.88           C\nATOM    845  C   ILE A  99       9.172  26.389  -2.365  1.00 14.07           C\nATOM    846  O   ILE A  99       8.253  26.511  -1.565  1.00 18.45           O\nATOM    847  CB  ILE A  99      11.003  27.062  -0.755  1.00 10.88           C\nATOM    848  CG1 ILE A  99      12.226  27.953  -0.547  1.00 10.15           C\nATOM    849  CG2 ILE A  99      11.274  25.603  -0.423  1.00 11.28           C\nATOM    850  CD1 ILE A  99      13.318  27.764  -1.572  1.00 11.01           C\nATOM    858  N   ILE A 101       6.376  23.461  -1.905  1.00 14.16           N\nATOM    859  CA  ILE A 101       6.116  22.468  -0.829  1.00 14.82           C\nATOM    860  C   ILE A 101       6.871  21.173  -0.934  1.00 11.32           C\nATOM    861  O   ILE A 101       7.299  20.541   0.032  1.00 11.72           O\nATOM    862  CB  ILE A 101       4.595  22.260  -0.696  1.00 16.18           C\nATOM    863  CG1 ILE A 101       3.876  23.532  -0.324  1.00 16.91           C\nATOM    864  CG2 ILE A 101       4.298  21.214   0.370  1.00 17.93           C\nATOM    865  CD1 ILE A 101       4.250  24.105   1.005  1.00 16.89           C\nATOM    887  N   LEU A 104       9.986  21.107   0.827  1.00  7.19           N\nATOM    888  CA  LEU A 104       9.785  20.849   2.244  1.00  7.25           C\nATOM    889  C   LEU A 104       9.634  19.353   2.512  1.00  6.99           C\nATOM    890  O   LEU A 104      10.088  18.878   3.569  1.00  7.80           O\nATOM    891  CB  LEU A 104       8.616  21.652   2.785  1.00  8.09           C\nATOM    892  CG  LEU A 104       8.712  23.172   2.584  1.00  9.36           C\nATOM    893  CD1 LEU A 104       7.489  23.843   3.220  1.00 12.92           C\nATOM    894  CD2 LEU A 104       9.963  23.768   3.165  1.00 11.74           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Ile99–Leu104"
    },
    {
     "label": "B",
     "value": "Ala53–Ala57"
    },
    {
     "label": "C",
     "value": "Leu2–Glu6"
    },
    {
     "label": "D",
     "value": "Ile101–Leu104"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1A6M-FD-25-1-18",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 7 residues involved, from chain A of PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 2.0 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.25. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "1A6M-18-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   VAL A   1      -4.004  15.224  13.636  1.00 32.64           N\nATOM      2  CA  VAL A   1      -3.526  15.758  14.900  1.00 18.42           C\nATOM      3  C   VAL A   1      -2.662  14.733  15.628  1.00 17.06           C\nATOM      4  O   VAL A   1      -3.053  13.569  15.714  1.00 18.61           O\nATOM      5  CB  VAL A   1      -4.657  16.165  15.809  1.00 29.90           C\nATOM      6  CG1 VAL A   1      -4.300  16.250  17.293  1.00 39.77           C\nATOM      7  CG2 VAL A   1      -5.280  17.488  15.346  1.00 37.48           C\nATOM    152  N   GLU A  18      19.149  18.710  19.920  1.00 12.78           N\nATOM    153  CA  GLU A  18      19.557  19.981  20.499  1.00 15.85           C\nATOM    154  C   GLU A  18      20.832  19.926  21.265  1.00 16.32           C\nATOM    155  O   GLU A  18      21.454  21.018  21.601  1.00 19.86           O\nATOM    156  CB  GLU A  18      18.397  20.487  21.355  1.00 17.83           C\nATOM    157  CG  GLU A  18      17.426  21.084  20.325  1.00 17.40           C\nATOM    158  CD  GLU A  18      16.354  21.874  21.005  1.00 18.58           C\nATOM    159  OE1 GLU A  18      16.201  21.610  22.224  1.00 29.40           O\nATOM    160  OE2 GLU A  18      15.643  22.651  20.354  1.00 23.74           O\nATOM    226  N   ILE A  28      21.932  17.405   7.636  1.00  7.63           N\nATOM    227  CA  ILE A  28      20.655  17.495   6.980  1.00  6.42           C\nATOM    228  C   ILE A  28      20.736  18.293   5.688  1.00  6.45           C\nATOM    229  O   ILE A  28      20.212  17.850   4.660  1.00  6.87           O\nATOM    230  CB  ILE A  28      19.616  18.085   7.961  1.00  6.45           C\nATOM    231  CG1 ILE A  28      19.300  17.063   9.052  1.00  6.95           C\nATOM    232  CG2 ILE A  28      18.362  18.542   7.245  1.00  6.87           C\nATOM    233  CD1 ILE A  28      18.626  17.606  10.292  1.00  7.69           C\nATOM    431  N   LEU A  49      28.994  25.667  -3.955  1.00  9.68           N\nATOM    432  CA  LEU A  49      29.487  24.404  -3.403  1.00  9.52           C\nATOM    433  C   LEU A  49      29.201  23.247  -4.372  1.00 10.58           C\nATOM    434  O   LEU A  49      28.071  23.037  -4.802  1.00 14.78           O\nATOM    435  CB  LEU A  49      28.826  24.173  -2.062  1.00  9.42           C\nATOM    436  CG  LEU A  49      29.087  25.234  -1.012  1.00  9.17           C\nATOM    437  CD1 LEU A  49      28.143  25.121   0.162  1.00 10.47           C\nATOM    438  CD2 LEU A  49      30.517  25.235  -0.511  1.00 10.13           C\nATOM    731  N   LEU A  86       4.628  29.920  12.084  1.00 12.00           N\nATOM    732  CA  LEU A  86       4.644  29.656  10.641  1.00 11.57           C\nATOM    733  C   LEU A  86       4.371  30.834   9.746  1.00 12.33           C\nATOM    734  O   LEU A  86       4.797  30.719   8.631  1.00 16.19           O\nATOM    735  CB  LEU A  86       3.633  28.541  10.270  1.00 11.51           C\nATOM    736  CG  LEU A  86       3.938  27.115  10.789  1.00 16.56           C\nATOM    737  CD1 LEU A  86       2.989  26.062  10.237  1.00 18.02           C\nATOM    738  CD2 LEU A  86       5.380  26.700  10.697  1.00 21.06           C\nATOM    875  N   TYR A 103       9.793  20.738  -1.886  1.00  8.96           N\nATOM    876  CA  TYR A 103      11.138  20.809  -1.329  1.00  8.59           C\nATOM    877  C   TYR A 103      11.091  20.693   0.207  1.00  7.28           C\nATOM    878  O   TYR A 103      12.059  20.225   0.806  1.00  7.83           O\nATOM    879  CB  TYR A 103      11.818  22.114  -1.744  1.00  8.37           C\nATOM    880  CG  TYR A 103      12.199  22.286  -3.195  1.00  9.25           C\nATOM    881  CD1 TYR A 103      11.623  21.606  -4.246  1.00 12.31           C\nATOM    882  CD2 TYR A 103      13.088  23.274  -3.544  1.00 10.94           C\nATOM    883  CE1 TYR A 103      12.003  21.847  -5.575  1.00 14.28           C\nATOM    884  CE2 TYR A 103      13.519  23.546  -4.819  1.00 13.09           C\nATOM    885  CZ  TYR A 103      12.937  22.821  -5.808  1.00 14.21           C\nATOM    886  OH  TYR A 103      13.299  23.091  -7.141  1.00 19.24           O\nATOM   1218  N   LYS A 140       1.550  20.574   5.945  1.00  7.77           N\nATOM   1219  CA  LYS A 140       0.136  20.841   5.720  1.00  8.33           C\nATOM   1220  C   LYS A 140      -0.145  22.296   5.996  1.00  7.16           C\nATOM   1221  O   LYS A 140      -0.844  23.004   5.223  1.00  8.35           O\nATOM   1222  CB  LYS A 140      -0.696  19.928   6.652  1.00  9.78           C\nATOM   1223  CG  LYS A 140      -2.194  20.239   6.636  1.00 13.19           C\nATOM   1224  CD  LYS A 140      -2.938  19.434   7.728  1.00 17.91           C\nATOM   1225  CE  LYS A 140      -4.359  19.848   7.902  1.00 25.51           C\nATOM   1226  NZ  LYS A 140      -5.196  19.152   8.879  1.00 36.31           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Val1–Glu18"
    },
    {
     "label": "B",
     "value": "Ile28–Tyr103"
    },
    {
     "label": "C",
     "value": "Leu49–Leu86"
    },
    {
     "label": "D",
     "value": "Leu86–Lys140"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1FHA-TOR-6-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 5–7 of chain A from PDB entry 1FHA (human H-chain ferritin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Ser6, defined by atoms C(5)–N(6)–CA(6)–C(6), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 5–7 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "1FHA-A6-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  CA  THR A   5      24.188 -18.763  55.368  1.00 46.05           C\nATOM      2  C   THR A   5      22.902 -18.593  54.571  1.00100.00           C\nATOM      3  O   THR A   5      21.802 -18.672  55.141  1.00 31.36           O\nATOM      4  N   SER A   6      23.011 -18.388  53.280  1.00 39.24           N\nATOM      5  CA  SER A   6      21.857 -18.181  52.370  1.00 30.45           C\nATOM      6  C   SER A   6      20.963 -19.416  52.281  1.00 20.25           C\nATOM      7  O   SER A   6      21.366 -20.593  52.261  1.00 22.76           O\nATOM      8  CB  SER A   6      22.391 -17.687  51.015  1.00 14.89           C\nATOM      9  OG  SER A   6      21.492 -17.869  49.924  1.00 20.30           O\nATOM     10  N   GLN A   7      19.656 -19.111  52.227  1.00  8.41           N\nATOM     11  CA  GLN A   7      18.566 -20.072  52.157  1.00 14.64           C\nATOM     12  C   GLN A   7      18.572 -20.854  50.844  1.00 14.75           C\nATOM     13  O   GLN A   7      17.987 -21.911  50.663  1.00 21.61           O\nATOM     14  CB  GLN A   7      17.224 -19.355  52.292  1.00  5.00           C\nATOM     15  CG  GLN A   7      16.986 -18.569  50.967  1.00  9.51           C\nATOM     16  CD  GLN A   7      15.828 -17.614  51.177  1.00 31.68           C\nATOM     17  OE1 GLN A   7      14.882 -17.925  51.882  1.00  9.58           O\nATOM     18  NE2 GLN A   7      15.863 -16.426  50.597  1.00 10.38           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-64.5",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "64.5",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "115.5",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "141.3",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1FHA-FRET-5-22",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1FHA (human H-chain ferritin, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Thr5 and an acceptor as a point at atom CA of Arg22. Assume a Förster radius R0 = 2.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "inputs": [
    {
     "name": "1FHA-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  CA  THR A   5      24.188 -18.763  55.368  1.00 46.05           C\nATOM      2  C   THR A   5      22.902 -18.593  54.571  1.00100.00           C\nATOM      3  O   THR A   5      21.802 -18.672  55.141  1.00 31.36           O\nATOM      4  N   SER A   6      23.011 -18.388  53.280  1.00 39.24           N\nATOM      5  CA  SER A   6      21.857 -18.181  52.370  1.00 30.45           C\nATOM      6  C   SER A   6      20.963 -19.416  52.281  1.00 20.25           C\nATOM      7  O   SER A   6      21.366 -20.593  52.261  1.00 22.76           O\nATOM      8  CB  SER A   6      22.391 -17.687  51.015  1.00 14.89           C\nATOM      9  OG  SER A   6      21.492 -17.869  49.924  1.00 20.30           O\nATOM     10  N   GLN A   7      19.656 -19.111  52.227  1.00  8.41           N\nATOM     11  CA  GLN A   7      18.566 -20.072  52.157  1.00 14.64           C\nATOM     12  C   GLN A   7      18.572 -20.854  50.844  1.00 14.75           C\nATOM     13  O   GLN A   7      17.987 -21.911  50.663  1.00 21.61           O\nATOM     14  CB  GLN A   7      17.224 -19.355  52.292  1.00  5.00           C\nATOM     15  CG  GLN A   7      16.986 -18.569  50.967  1.00  9.51           C\nATOM     16  CD  GLN A   7      15.828 -17.614  51.177  1.00 31.68           C\nATOM     17  OE1 GLN A   7      14.882 -17.925  51.882  1.00  9.58           O\nATOM     18  NE2 GLN A   7      15.863 -16.426  50.597  1.00 10.38           N\nATOM     19  N   VAL A   8      19.277 -20.283  49.922  1.00  5.00           N\nATOM     20  CA  VAL A   8      19.505 -20.723  48.542  1.00  8.58           C\nATOM     21  C   VAL A   8      20.765 -21.478  48.283  1.00 14.00           C\nATOM     22  O   VAL A   8      20.852 -22.224  47.293  1.00 16.06           O\nATOM     23  CB  VAL A   8      19.388 -19.332  47.794  1.00 27.53           C\nATOM     24  CG1 VAL A   8      20.456 -19.089  46.808  1.00  5.00           C\nATOM     25  CG2 VAL A   8      18.012 -19.122  47.155  1.00  5.00           C\nATOM     26  N   ARG A   9      21.792 -21.367  49.092  1.00 13.22           N\nATOM     27  CA  ARG A   9      23.092 -22.019  48.961  1.00  7.97           C\nATOM     28  C   ARG A   9      23.025 -23.528  49.004  1.00  7.57           C\nATOM     29  O   ARG A   9      22.461 -24.100  49.928  1.00 15.71           O\nATOM     30  CB  ARG A   9      24.059 -21.514  50.067  1.00  8.39           C\nATOM     31  CG  ARG A   9      25.511 -21.755  49.558  1.00  7.34           C\nATOM     32  CD  ARG A   9      26.430 -21.287  50.667  1.00  7.64           C\nATOM     33  NE  ARG A   9      27.811 -21.690  50.430  1.00 15.29           N\nATOM     34  CZ  ARG A   9      28.848 -20.858  50.439  1.00 15.00           C\nATOM     35  NH1 ARG A   9      28.711 -19.601  50.836  1.00  5.43           N\nATOM     36  NH2 ARG A   9      30.064 -21.264  50.079  1.00  7.54           N\nATOM     37  N   GLN A  10      23.603 -24.166  47.969  1.00 10.10           N\nATOM     38  CA  GLN A  10      23.557 -25.640  47.894  1.00  5.00           C\nATOM     39  C   GLN A  10      24.693 -26.126  47.030  1.00  5.00           C\nATOM     40  O   GLN A  10      24.803 -25.791  45.859  1.00 11.26           O\nATOM     41  CB  GLN A  10      22.185 -26.092  47.394  1.00  5.00           C\nATOM     42  CG  GLN A  10      22.043 -27.567  47.134  1.00  6.74           C\nATOM     43  CD  GLN A  10      20.625 -27.954  46.734  1.00  9.33           C\nATOM     44  OE1 GLN A  10      19.911 -27.322  45.977  1.00 19.58           O\nATOM     45  NE2 GLN A  10      20.093 -29.069  47.261  1.00 18.94           N\nATOM     46  N   ASN A  11      25.532 -26.944  47.640  1.00 13.28           N\nATOM     47  CA  ASN A  11      26.696 -27.589  47.101  1.00  5.00           C\nATOM     48  C   ASN A  11      27.674 -26.594  46.506  1.00  5.00           C\nATOM     49  O   ASN A  11      28.276 -26.887  45.445  1.00  5.00           O\nATOM     50  CB  ASN A  11      26.200 -28.662  46.072  1.00  5.00           C\nATOM     51  CG  ASN A  11      27.373 -29.430  45.506  1.00  5.00           C\nATOM     52  OD1 ASN A  11      28.245 -29.897  46.264  1.00 17.44           O\nATOM     53  ND2 ASN A  11      27.475 -29.601  44.165  1.00  7.04           N\nATOM     54  N   TYR A  12      27.806 -25.465  47.153  1.00  9.79           N\nATOM     55  CA  TYR A  12      28.669 -24.339  46.761  1.00 14.44           C\nATOM     56  C   TYR A  12      29.761 -24.192  47.822  1.00 12.71           C\nATOM     57  O   TYR A  12      29.471 -23.772  48.945  1.00 11.72           O\nATOM     58  CB  TYR A  12      27.871 -23.057  46.578  1.00  5.00           C\nATOM     59  CG  TYR A  12      28.596 -21.967  45.809  1.00  7.67           C\nATOM     60  CD1 TYR A  12      29.255 -22.218  44.594  1.00  9.43           C\nATOM     61  CD2 TYR A  12      28.626 -20.669  46.298  1.00 13.54           C\nATOM     62  CE1 TYR A  12      29.896 -21.200  43.884  1.00  5.00           C\nATOM     63  CE2 TYR A  12      29.281 -19.619  45.606  1.00  5.00           C\nATOM     64  CZ  TYR A  12      29.900 -19.903  44.394  1.00 25.95           C\nATOM     65  OH  TYR A  12      30.503 -18.846  43.761  1.00 12.84           O\nATOM     66  N   HIS A  13      30.951 -24.538  47.470  1.00  7.74           N\nATOM     67  CA  HIS A  13      32.112 -24.521  48.403  1.00  7.47           C\nATOM     68  C   HIS A  13      32.712 -23.162  48.565  1.00 10.57           C\nATOM     69  O   HIS A  13      32.766 -22.303  47.660  1.00 10.53           O\nATOM     70  CB  HIS A  13      33.083 -25.610  47.877  1.00  5.00           C\nATOM     71  CG  HIS A  13      34.115 -25.945  48.890  1.00 24.98           C\nATOM     72  ND1 HIS A  13      34.150 -27.126  49.569  1.00 32.42           N\nATOM     73  CD2 HIS A  13      35.178 -25.225  49.316  1.00 21.89           C\nATOM     74  CE1 HIS A  13      35.189 -27.116  50.382  1.00 12.24           C\nATOM     75  NE2 HIS A  13      35.839 -25.990  50.247  1.00 23.44           N\nATOM     76  N   GLN A  14      33.195 -22.929  49.766  1.00 16.88           N\nATOM     77  CA  GLN A  14      33.854 -21.705  50.241  1.00 17.54           C\nATOM     78  C   GLN A  14      34.964 -21.278  49.292  1.00 13.94           C\nATOM     79  O   GLN A  14      35.109 -20.118  48.903  1.00 30.83           O\nATOM     80  CB  GLN A  14      34.417 -21.894  51.669  1.00 11.84           C\nATOM     81  N   ASP A  15      35.769 -22.290  48.924  1.00  5.00           N\nATOM     82  CA  ASP A  15      36.920 -22.166  48.038  1.00  5.00           C\nATOM     83  C   ASP A  15      36.472 -21.719  46.642  1.00 16.30           C\nATOM     84  O   ASP A  15      37.184 -20.912  46.003  1.00  8.96           O\nATOM     85  CB  ASP A  15      37.734 -23.484  48.021  1.00 11.65           C\nATOM     86  CG  ASP A  15      38.470 -23.791  49.321  1.00 13.30           C\nATOM     87  OD1 ASP A  15      38.450 -22.926  50.252  1.00 18.08           O\nATOM     88  OD2 ASP A  15      39.083 -24.879  49.464  1.00 40.44           O\nATOM     89  N   SER A  16      35.331 -22.253  46.221  1.00  7.66           N\nATOM     90  CA  SER A  16      34.739 -21.882  44.929  1.00  5.00           C\nATOM     91  C   SER A  16      34.338 -20.414  44.990  1.00 17.06           C\nATOM     92  O   SER A  16      34.646 -19.593  44.101  1.00  9.76           O\nATOM     93  CB  SER A  16      33.566 -22.770  44.624  1.00  5.00           C\nATOM     94  OG  SER A  16      34.015 -24.121  44.446  1.00 16.36           O\nATOM     95  N   GLU A  17      33.651 -20.066  46.088  1.00  5.00           N\nATOM     96  CA  GLU A  17      33.197 -18.682  46.311  1.00  5.00           C\nATOM     97  C   GLU A  17      34.344 -17.699  46.245  1.00 10.35           C\nATOM     98  O   GLU A  17      34.336 -16.659  45.501  1.00  9.85           O\nATOM     99  CB  GLU A  17      32.454 -18.644  47.651  1.00  5.00           C\nATOM    100  CG  GLU A  17      32.180 -17.221  48.210  1.00  5.38           C\nATOM    101  CD  GLU A  17      31.332 -17.146  49.429  1.00 11.49           C\nATOM    102  OE1 GLU A  17      31.289 -18.248  50.072  1.00 25.07           O\nATOM    103  OE2 GLU A  17      30.715 -16.161  49.847  1.00 17.58           O\nATOM    104  N   ALA A  18      35.404 -17.969  46.995  1.00  5.00           N\nATOM    105  CA  ALA A  18      36.606 -17.123  47.049  1.00  5.00           C\nATOM    106  C   ALA A  18      37.312 -16.943  45.716  1.00 14.61           C\nATOM    107  O   ALA A  18      37.827 -15.853  45.404  1.00  8.35           O\nATOM    108  CB  ALA A  18      37.568 -17.747  48.046  1.00  5.00           C\nATOM    109  N   ALA A  19      37.390 -18.007  44.957  1.00  8.70           N\nATOM    110  CA  ALA A  19      37.993 -18.072  43.622  1.00  8.35           C\nATOM    111  C   ALA A  19      37.145 -17.230  42.643  1.00  5.00           C\nATOM    112  O   ALA A  19      37.713 -16.608  41.713  1.00 14.56           O\nATOM    113  CB  ALA A  19      38.162 -19.494  43.113  1.00  5.00           C\nATOM    114  N   ILE A  20      35.840 -17.210  42.901  1.00  5.00           N\nATOM    115  CA  ILE A  20      34.978 -16.379  42.011  1.00 23.56           C\nATOM    116  C   ILE A  20      35.363 -14.915  42.254  1.00 13.48           C\nATOM    117  O   ILE A  20      35.582 -14.157  41.286  1.00  9.90           O\nATOM    118  CB  ILE A  20      33.503 -16.797  42.198  1.00  5.54           C\nATOM    119  CG1 ILE A  20      33.315 -18.291  41.705  1.00  5.00           C\nATOM    120  CG2 ILE A  20      32.478 -15.881  41.501  1.00  5.00           C\nATOM    121  CD1 ILE A  20      33.152 -18.404  40.153  1.00  5.43           C\nATOM    122  N   ASN A  21      35.504 -14.534  43.504  1.00  5.00           N\nATOM    123  CA  ASN A  21      35.842 -13.133  43.876  1.00  5.00           C\nATOM    124  C   ASN A  21      37.162 -12.764  43.237  1.00  5.00           C\nATOM    125  O   ASN A  21      37.290 -11.592  42.797  1.00 15.76           O\nATOM    126  CB  ASN A  21      35.767 -12.954  45.394  1.00  5.00           C\nATOM    127  CG  ASN A  21      34.343 -12.854  45.902  1.00  6.03           C\nATOM    128  OD1 ASN A  21      33.490 -12.275  45.195  1.00 11.08           O\nATOM    129  ND2 ASN A  21      33.972 -13.365  47.083  1.00  5.00           N\nATOM    130  N   ARG A  22      38.104 -13.678  43.167  1.00  5.00           N\nATOM    131  CA  ARG A  22      39.425 -13.338  42.541  1.00  5.00           C\nATOM    132  C   ARG A  22      39.289 -13.136  41.052  1.00  5.00           C\nATOM    133  O   ARG A  22      39.857 -12.222  40.441  1.00  7.91           O\nATOM    134  CB  ARG A  22      40.447 -14.417  42.906  1.00 18.01           C\nATOM    135  N   GLN A  23      38.494 -13.989  40.409  1.00  5.00           N\nATOM    136  CA  GLN A  23      38.246 -13.912  38.948  1.00  5.70           C\nATOM    137  C   GLN A  23      37.565 -12.583  38.619  1.00 29.69           C\nATOM    138  O   GLN A  23      37.924 -11.922  37.601  1.00  6.56           O\nATOM    139  CB  GLN A  23      37.454 -15.116  38.411  1.00  5.00           C\nATOM    140  CG  GLN A  23      37.516 -15.215  36.889  1.00 14.45           C\nATOM    141  CD  GLN A  23      38.893 -15.508  36.341  1.00  5.00           C\nATOM    142  OE1 GLN A  23      39.664 -16.187  36.960  1.00 13.55           O\nATOM    143  NE2 GLN A  23      39.191 -15.021  35.118  1.00  8.13           N\nATOM    144  N   ILE A  24      36.609 -12.180  39.444  1.00  5.00           N\nATOM    145  CA  ILE A  24      35.914 -10.921  39.227  1.00  5.00           C\nATOM    146  C   ILE A  24      36.929  -9.765  39.153  1.00 10.91           C\nATOM    147  O   ILE A  24      36.739  -8.872  38.313  1.00 10.45           O\nATOM    148  CB  ILE A  24      34.822 -10.589  40.305  1.00 12.13           C\nATOM    149  CG1 ILE A  24      33.566 -11.443  40.148  1.00  6.38           C\nATOM    150  CG2 ILE A  24      34.426  -9.086  40.285  1.00  5.00           C\nATOM    151  CD1 ILE A  24      32.747 -11.724  41.458  1.00  5.00           C\nATOM    152  N   ASN A  25      37.933  -9.804  39.967  1.00  5.00           N\nATOM    153  CA  ASN A  25      38.949  -8.745  40.061  1.00  5.00           C\nATOM    154  C   ASN A  25      39.834  -8.768  38.827  1.00 13.57           C\nATOM    155  O   ASN A  25      40.115  -7.669  38.296  1.00  6.68           O\nATOM    156  CB  ASN A  25      39.742  -8.835  41.385  1.00  5.00           C\nATOM    157  CG  ASN A  25      40.709  -7.672  41.514  1.00 25.57           C\nATOM    158  OD1 ASN A  25      41.874  -7.828  41.100  1.00 18.83           O\nATOM    159  ND2 ASN A  25      40.308  -6.528  42.052  1.00  5.00           N\nATOM    160  N   LEU A  26      40.213  -9.935  38.426  1.00  5.00           N\nATOM    161  CA  LEU A  26      41.066 -10.129  37.246  1.00  5.00           C\nATOM    162  C   LEU A  26      40.418  -9.564  35.991  1.00  5.00           C\nATOM    163  O   LEU A  26      41.083  -8.932  35.165  1.00 17.69           O\nATOM    164  CB  LEU A  26      41.344 -11.612  37.089  1.00  5.00           C\nATOM    165  CG  LEU A  26      42.699 -12.084  36.626  1.00  7.07           C\nATOM    166  CD1 LEU A  26      42.525 -13.363  35.855  1.00  5.00           C\nATOM    167  CD2 LEU A  26      43.354 -11.056  35.714  1.00  5.00           C\nATOM    168  N   GLU A  27      39.122  -9.847  35.867  1.00  5.00           N\nATOM    169  CA  GLU A  27      38.370  -9.347  34.687  1.00 16.79           C\nATOM    170  C   GLU A  27      38.233  -7.836  34.662  1.00  8.48           C\nATOM    171  O   GLU A  27      38.309  -7.210  33.562  1.00  6.85           O\nATOM    172  CB  GLU A  27      36.969  -9.969  34.623  1.00  5.00           C\nATOM    173  CG  GLU A  27      36.844 -11.450  34.590  1.00  5.00           C\nATOM    174  CD  GLU A  27      37.221 -12.073  33.264  1.00  5.74           C\nATOM    175  OE1 GLU A  27      37.381 -11.344  32.258  1.00 13.93           O\nATOM    176  OE2 GLU A  27      37.341 -13.309  33.295  1.00  5.00           O\nATOM    177  N   LEU A  28      38.036  -7.209  35.786  1.00  5.00           N\nATOM    178  CA  LEU A  28      37.916  -5.787  36.009  1.00  5.00           C\nATOM    179  C   LEU A  28      39.222  -5.089  35.635  1.00  9.76           C\nATOM    180  O   LEU A  28      39.259  -4.046  35.016  1.00  6.48           O\nATOM    181  CB  LEU A  28      37.480  -5.507  37.497  1.00  5.00           C\nATOM    182  CG  LEU A  28      35.970  -5.722  37.783  1.00  5.00           C\nATOM    183  CD1 LEU A  28      35.618  -5.367  39.233  1.00  5.00           C\nATOM    184  CD2 LEU A  28      35.161  -4.909  36.770  1.00  5.00           C\nATOM    185  N   TYR A  29      40.314  -5.715  36.019  1.00  5.00           N\nATOM    186  CA  TYR A  29      41.663  -5.336  35.771  1.00  5.00           C\nATOM    187  C   TYR A  29      41.946  -5.412  34.270  1.00 15.08           C\nATOM    188  O   TYR A  29      42.611  -4.514  33.742  1.00 18.27           O\nATOM    189  CB  TYR A  29      42.675  -6.241  36.553  1.00  9.98           C\nATOM    190  CG  TYR A  29      44.101  -6.027  36.067  1.00  7.33           C\nATOM    191  CD1 TYR A  29      44.789  -4.898  36.498  1.00  5.00           C\nATOM    192  CD2 TYR A  29      44.751  -6.896  35.192  1.00  5.00           C\nATOM    193  CE1 TYR A  29      46.083  -4.654  36.089  1.00  5.00           C\nATOM    194  CE2 TYR A  29      46.037  -6.669  34.754  1.00  5.00           C\nATOM    195  CZ  TYR A  29      46.707  -5.523  35.218  1.00 13.99           C\nATOM    196  OH  TYR A  29      47.990  -5.191  34.850  1.00  9.90           O\nATOM    197  N   ALA A  30      41.459  -6.460  33.608  1.00  5.00           N\nATOM    198  CA  ALA A  30      41.643  -6.605  32.155  1.00  5.91           C\nATOM    199  C   ALA A  30      40.914  -5.477  31.398  1.00 11.91           C\nATOM    200  O   ALA A  30      41.363  -4.991  30.328  1.00 12.75           O\nATOM    201  CB  ALA A  30      41.156  -7.929  31.611  1.00  6.55           C\nATOM    202  N   SER A  31      39.791  -5.081  31.926  1.00  5.56           N\nATOM    203  CA  SER A  31      38.975  -3.995  31.346  1.00  5.00           C\nATOM    204  C   SER A  31      39.737  -2.694  31.383  1.00  5.00           C\nATOM    205  O   SER A  31      39.723  -1.843  30.452  1.00  9.65           O\nATOM    206  CB  SER A  31      37.705  -3.900  32.142  1.00  5.00           C\nATOM    207  OG  SER A  31      36.827  -2.947  31.696  1.00 11.41           O\nATOM    208  N   TYR A  32      40.408  -2.520  32.528  1.00  5.00           N\nATOM    209  CA  TYR A  32      41.256  -1.337  32.811  1.00  5.00           C\nATOM    210  C   TYR A  32      42.454  -1.246  31.851  1.00 13.24           C\nATOM    211  O   TYR A  32      42.705  -0.176  31.265  1.00  5.00           O\nATOM    212  CB  TYR A  32      41.724  -1.316  34.279  1.00  5.00           C\nATOM    213  CG  TYR A  32      41.997   0.029  34.889  1.00  5.00           C\nATOM    214  CD1 TYR A  32      41.548   1.191  34.270  1.00  5.00           C\nATOM    215  CD2 TYR A  32      42.720   0.181  36.072  1.00  6.62           C\nATOM    216  CE1 TYR A  32      41.756   2.457  34.812  1.00  5.00           C\nATOM    217  CE2 TYR A  32      42.973   1.416  36.624  1.00  5.00           C\nATOM    218  CZ  TYR A  32      42.482   2.566  35.988  1.00 13.05           C\nATOM    219  OH  TYR A  32      42.711   3.790  36.525  1.00  5.00           O\nATOM    220  N   VAL A  33      43.178  -2.315  31.655  1.00  5.00           N\nATOM    221  CA  VAL A  33      44.305  -2.399  30.730  1.00  5.00           C\nATOM    222  C   VAL A  33      43.884  -1.923  29.338  1.00  8.05           C\nATOM    223  O   VAL A  33      44.476  -1.027  28.680  1.00 13.72           O\nATOM    224  CB  VAL A  33      44.848  -3.838  30.752  1.00 17.54           C\nATOM    225  CG1 VAL A  33      45.837  -4.185  29.662  1.00  5.00           C\nATOM    226  CG2 VAL A  33      45.455  -4.108  32.120  1.00  5.00           C\nATOM    227  N   TYR A  34      42.807  -2.526  28.871  1.00  6.29           N\nATOM    228  CA  TYR A  34      42.225  -2.216  27.550  1.00  5.00           C\nATOM    229  C   TYR A  34      41.780  -0.765  27.437  1.00 14.82           C\nATOM    230  O   TYR A  34      41.922  -0.244  26.340  1.00  7.80           O\nATOM    231  CB  TYR A  34      41.053  -3.136  27.279  1.00  5.00           C\nATOM    232  CG  TYR A  34      41.445  -4.490  26.760  1.00  6.21           C\nATOM    233  CD1 TYR A  34      42.325  -4.626  25.689  1.00 16.17           C\nATOM    234  CD2 TYR A  34      40.935  -5.637  27.358  1.00  5.00           C\nATOM    235  CE1 TYR A  34      42.706  -5.870  25.203  1.00  5.24           C\nATOM    236  CE2 TYR A  34      41.282  -6.905  26.891  1.00  5.00           C\nATOM    237  CZ  TYR A  34      42.165  -7.013  25.825  1.00 19.75           C\nATOM    238  OH  TYR A  34      42.461  -8.264  25.405  1.00 10.60           O\nATOM    239  N   LEU A  35      41.259  -0.200  28.511  1.00 14.52           N\nATOM    240  CA  LEU A  35      40.793   1.188  28.524  1.00  5.00           C\nATOM    241  C   LEU A  35      41.976   2.124  28.279  1.00 12.83           C\nATOM    242  O   LEU A  35      41.950   3.136  27.555  1.00  7.24           O\nATOM    243  CB  LEU A  35      40.028   1.416  29.837  1.00 15.57           C\nATOM    244  CG  LEU A  35      39.595   2.863  30.103  1.00  9.36           C\nATOM    245  CD1 LEU A  35      38.408   3.246  29.273  1.00  5.00           C\nATOM    246  CD2 LEU A  35      39.160   3.058  31.534  1.00  5.00           C\nATOM    247  N   SER A  36      43.068   1.769  28.898  1.00  9.35           N\nATOM    248  CA  SER A  36      44.344   2.472  28.829  1.00  5.00           C\nATOM    249  C   SER A  36      44.891   2.410  27.406  1.00  5.00           C\nATOM    250  O   SER A  36      45.247   3.452  26.824  1.00 13.12           O\nATOM    251  CB  SER A  36      45.333   1.893  29.838  1.00  5.44           C\nATOM    252  OG  SER A  36      46.602   2.464  29.656  1.00 13.79           O\nATOM    253  N   MET A  37      44.960   1.221  26.855  1.00  6.00           N\nATOM    254  CA  MET A  37      45.451   0.985  25.484  1.00  5.90           C\nATOM    255  C   MET A  37      44.655   1.822  24.474  1.00  8.55           C\nATOM    256  O   MET A  37      45.221   2.452  23.535  1.00  5.00           O\nATOM    257  CB  MET A  37      45.448  -0.531  25.190  1.00  5.00           C\nATOM    258  CG  MET A  37      46.651  -1.174  25.835  1.00 17.45           C\nATOM    259  SD  MET A  37      46.716  -2.995  25.477  1.00 19.94           S\nATOM    260  CE  MET A  37      45.392  -3.275  24.495  1.00  9.82           C\nATOM    261  N   SER A  38      43.358   1.915  24.630  1.00 11.96           N\nATOM    262  CA  SER A  38      42.471   2.689  23.751  1.00  7.99           C\nATOM    263  C   SER A  38      42.825   4.163  23.655  1.00  5.00           C\nATOM    264  O   SER A  38      43.090   4.647  22.533  1.00 14.08           O\nATOM    265  CB  SER A  38      40.995   2.570  24.206  1.00  7.76           C\nATOM    266  OG  SER A  38      40.199   3.366  23.359  1.00 16.45           O\nATOM    267  N   TYR A  39      42.852   4.866  24.801  1.00 12.82           N\nATOM    268  CA  TYR A  39      43.179   6.326  24.748  1.00  5.00           C\nATOM    269  C   TYR A  39      44.633   6.568  24.405  1.00  5.00           C\nATOM    270  O   TYR A  39      44.984   7.721  24.114  1.00 19.63           O\nATOM    271  CB  TYR A  39      42.676   6.991  26.053  1.00 17.10           C\nATOM    272  CG  TYR A  39      41.146   7.082  25.963  1.00  5.00           C\nATOM    273  CD1 TYR A  39      40.335   6.052  26.405  1.00 18.62           C\nATOM    274  CD2 TYR A  39      40.561   8.255  25.426  1.00  5.00           C\nATOM    275  CE1 TYR A  39      38.938   6.163  26.313  1.00  5.00           C\nATOM    276  CE2 TYR A  39      39.199   8.368  25.316  1.00  5.00           C\nATOM    277  CZ  TYR A  39      38.383   7.306  25.770  1.00  5.00           C\nATOM    278  OH  TYR A  39      37.026   7.450  25.659  1.00 18.95           O\nATOM    279  N   TYR A  40      45.447   5.536  24.370  1.00  6.35           N\nATOM    280  CA  TYR A  40      46.840   5.661  23.954  1.00  9.29           C\nATOM    281  C   TYR A  40      46.784   5.870  22.414  1.00  9.64           C\nATOM    282  O   TYR A  40      47.512   6.745  21.915  1.00 10.36           O\nATOM    283  CB  TYR A  40      47.753   4.512  24.340  1.00  5.00           C\nATOM    284  CG  TYR A  40      49.134   4.604  23.688  1.00  5.00           C\nATOM    285  CD1 TYR A  40      50.121   5.409  24.232  1.00  7.71           C\nATOM    286  CD2 TYR A  40      49.431   3.887  22.547  1.00  8.12           C\nATOM    287  CE1 TYR A  40      51.378   5.505  23.627  1.00  9.96           C\nATOM    288  CE2 TYR A  40      50.692   3.956  21.936  1.00  5.00           C\nATOM    289  CZ  TYR A  40      51.652   4.767  22.483  1.00 18.97           C\nATOM    290  OH  TYR A  40      52.878   4.838  21.876  1.00 43.04           O\nATOM    291  N   PHE A  41      45.928   5.129  21.734  1.00  5.60           N\nATOM    292  CA  PHE A  41      45.856   5.293  20.222  1.00  5.00           C\nATOM    293  C   PHE A  41      45.082   6.520  19.756  1.00  7.75           C\nATOM    294  O   PHE A  41      45.101   6.878  18.559  1.00  6.12           O\nATOM    295  CB  PHE A  41      45.351   3.946  19.595  1.00  8.91           C\nATOM    296  CG  PHE A  41      46.368   2.848  19.730  1.00  5.00           C\nATOM    297  CD1 PHE A  41      47.432   2.785  18.809  1.00 14.13           C\nATOM    298  CD2 PHE A  41      46.309   1.916  20.769  1.00  5.00           C\nATOM    299  CE1 PHE A  41      48.413   1.823  18.916  1.00  5.27           C\nATOM    300  CE2 PHE A  41      47.299   0.939  20.886  1.00 18.75           C\nATOM    301  CZ  PHE A  41      48.366   0.900  19.967  1.00  6.67           C\nATOM    302  N   ASP A  42      44.444   7.235  20.593  1.00  5.00           N\nATOM    303  CA  ASP A  42      43.684   8.456  20.381  1.00 13.04           C\nATOM    304  C   ASP A  42      44.565   9.702  20.572  1.00  8.07           C\nATOM    305  O   ASP A  42      44.069  10.811  20.304  1.00  8.63           O\nATOM    306  CB  ASP A  42      42.441   8.421  21.286  1.00 10.13           C\nATOM    307  CG  ASP A  42      41.636   9.693  21.313  1.00 13.08           C\nATOM    308  OD1 ASP A  42      40.967   9.924  20.295  1.00  8.20           O\nATOM    309  OD2 ASP A  42      41.626  10.431  22.328  1.00 13.78           O\nATOM    310  N   ARG A  43      45.791   9.518  20.997  1.00  5.10           N\nATOM    311  CA  ARG A  43      46.753  10.646  21.172  1.00  5.00           C\nATOM    312  C   ARG A  43      47.077  11.187  19.768  1.00  7.37           C\nATOM    313  O   ARG A  43      47.119  10.403  18.795  1.00  8.08           O\nATOM    314  CB  ARG A  43      47.990  10.264  21.887  1.00  5.00           C\nATOM    315  CG  ARG A  43      47.851   9.909  23.372  1.00  5.91           C\nATOM    316  CD  ARG A  43      49.006   9.086  23.816  1.00  5.00           C\nATOM    317  NE  ARG A  43      50.281   9.724  23.547  1.00  7.54           N\nATOM    318  CZ  ARG A  43      51.447   9.583  24.123  1.00 68.14           C\nATOM    319  NH1 ARG A  43      51.639   9.214  25.394  1.00 22.62           N\nATOM    320  NH2 ARG A  43      52.576   9.847  23.440  1.00 13.22           N\nATOM    321  N   ASP A  44      47.307  12.462  19.689  1.00 33.17           N\nATOM    322  CA  ASP A  44      47.641  13.173  18.455  1.00  5.00           C\nATOM    323  C   ASP A  44      49.009  12.713  17.952  1.00 17.33           C\nATOM    324  O   ASP A  44      49.239  12.902  16.745  1.00 10.36           O\nATOM    325  CB  ASP A  44      47.565  14.689  18.666  1.00  5.32           C\nATOM    326  CG  ASP A  44      48.789  15.263  19.350  1.00 13.74           C\nATOM    327  OD1 ASP A  44      49.773  15.620  18.635  1.00  8.40           O\nATOM    328  OD2 ASP A  44      48.789  15.375  20.587  1.00 31.79           O\nATOM    329  N   ASP A  45      49.848  12.151  18.808  1.00  5.00           N\nATOM    330  CA  ASP A  45      51.190  11.704  18.301  1.00  5.00           C\nATOM    331  C   ASP A  45      51.157  10.194  18.030  1.00 13.33           C\nATOM    332  O   ASP A  45      52.238   9.587  17.864  1.00 11.79           O\nATOM    333  CB  ASP A  45      52.336  12.105  19.219  1.00  5.00           C\nATOM    334  CG  ASP A  45      52.203  11.509  20.634  1.00  5.94           C\nATOM    335  OD1 ASP A  45      51.037  11.170  20.955  1.00  6.11           O\nATOM    336  OD2 ASP A  45      53.165  11.367  21.375  1.00 33.24           O\nATOM    337  N   VAL A  46      49.966   9.676  18.007  1.00  5.00           N\nATOM    338  CA  VAL A  46      49.788   8.197  17.721  1.00 11.64           C\nATOM    339  C   VAL A  46      48.732   8.118  16.615  1.00 11.98           C\nATOM    340  O   VAL A  46      49.044   7.749  15.485  1.00 15.35           O\nATOM    341  CB  VAL A  46      49.527   7.388  18.985  1.00  5.00           C\nATOM    342  CG1 VAL A  46      49.042   5.979  18.608  1.00  5.00           C\nATOM    343  CG2 VAL A  46      50.707   7.324  19.928  1.00  5.00           C\nATOM    344  N   ALA A  47      47.515   8.511  16.906  1.00 18.56           N\nATOM    345  CA  ALA A  47      46.399   8.606  16.001  1.00  5.00           C\nATOM    346  C   ALA A  47      46.015   7.475  15.060  1.00  6.72           C\nATOM    347  O   ALA A  47      45.923   7.671  13.824  1.00  6.70           O\nATOM    348  CB  ALA A  47      46.756   9.896  15.132  1.00  9.50           C\nATOM    349  N   LEU A  48      45.701   6.320  15.563  1.00  5.00           N\nATOM    350  CA  LEU A  48      45.254   5.118  14.891  1.00  5.00           C\nATOM    351  C   LEU A  48      43.868   4.821  15.493  1.00  5.00           C\nATOM    352  O   LEU A  48      43.736   4.043  16.432  1.00 16.22           O\nATOM    353  CB  LEU A  48      46.247   3.967  15.051  1.00  5.00           C\nATOM    354  CG  LEU A  48      47.614   4.320  14.433  1.00 23.26           C\nATOM    355  CD1 LEU A  48      48.692   3.323  14.810  1.00  5.00           C\nATOM    356  CD2 LEU A  48      47.458   4.305  12.936  1.00  5.00           C\nATOM    357  N   LYS A  49      42.897   5.504  14.929  1.00  5.00           N\nATOM    358  CA  LYS A  49      41.513   5.468  15.380  1.00  6.01           C\nATOM    359  C   LYS A  49      40.843   4.116  15.386  1.00  9.60           C\nATOM    360  O   LYS A  49      39.879   4.009  16.220  1.00 17.60           O\nATOM    361  CB  LYS A  49      40.630   6.453  14.524  1.00  8.69           C\nATOM    362  N   ASN A  50      41.237   3.173  14.603  1.00 19.99           N\nATOM    363  CA  ASN A  50      40.525   1.847  14.608  1.00  5.00           C\nATOM    364  C   ASN A  50      41.182   0.951  15.662  1.00  6.45           C\nATOM    365  O   ASN A  50      40.484   0.089  16.215  1.00 10.75           O\nATOM    366  CB  ASN A  50      40.477   1.329  13.197  1.00  5.00           C\nATOM    367  CG  ASN A  50      39.472   2.089  12.328  1.00  5.00           C\nATOM    368  OD1 ASN A  50      39.728   2.445  11.179  1.00 25.85           O\nATOM    369  ND2 ASN A  50      38.303   2.351  12.826  1.00 10.34           N\nATOM    370  N   PHE A  51      42.432   1.160  15.923  1.00  5.00           N\nATOM    371  CA  PHE A  51      43.146   0.465  16.992  1.00  9.02           C\nATOM    372  C   PHE A  51      42.368   0.844  18.282  1.00 10.02           C\nATOM    373  O   PHE A  51      41.937   0.041  19.110  1.00 14.70           O\nATOM    374  CB  PHE A  51      44.616   0.818  17.074  1.00  5.00           C\nATOM    375  CG  PHE A  51      45.518  -0.102  16.322  1.00  8.13           C\nATOM    376  CD1 PHE A  51      46.027  -1.264  16.902  1.00 14.43           C\nATOM    377  CD2 PHE A  51      45.855   0.199  14.977  1.00  5.00           C\nATOM    378  CE1 PHE A  51      46.874  -2.102  16.141  1.00  5.00           C\nATOM    379  CE2 PHE A  51      46.677  -0.598  14.238  1.00  5.00           C\nATOM    380  CZ  PHE A  51      47.204  -1.747  14.824  1.00  5.00           C\nATOM    381  N   ALA A  52      42.182   2.179  18.442  1.00  9.94           N\nATOM    382  CA  ALA A  52      41.484   2.767  19.576  1.00  9.04           C\nATOM    383  C   ALA A  52      40.078   2.194  19.812  1.00  5.00           C\nATOM    384  O   ALA A  52      39.695   1.884  20.970  1.00 11.54           O\nATOM    385  CB  ALA A  52      41.313   4.284  19.442  1.00  5.00           C\nATOM    386  N   LYS A  53      39.320   2.101  18.733  1.00  8.39           N\nATOM    387  CA  LYS A  53      37.944   1.594  18.793  1.00 11.29           C\nATOM    388  C   LYS A  53      37.969   0.094  19.133  1.00  8.40           C\nATOM    389  O   LYS A  53      37.065  -0.345  19.835  1.00 12.21           O\nATOM    390  CB  LYS A  53      37.133   1.841  17.515  1.00  9.34           C\nATOM    391  N   TYR A  54      38.966  -0.620  18.669  1.00  5.00           N\nATOM    392  CA  TYR A  54      39.113  -2.059  18.922  1.00  5.00           C\nATOM    393  C   TYR A  54      39.355  -2.324  20.392  1.00  5.00           C\nATOM    394  O   TYR A  54      38.603  -3.162  20.919  1.00  6.43           O\nATOM    395  CB  TYR A  54      40.230  -2.653  18.030  1.00  5.35           C\nATOM    396  CG  TYR A  54      40.485  -4.128  18.266  1.00  5.00           C\nATOM    397  CD1 TYR A  54      39.618  -5.077  17.716  1.00 11.49           C\nATOM    398  CD2 TYR A  54      41.579  -4.585  18.986  1.00  5.00           C\nATOM    399  CE1 TYR A  54      39.842  -6.451  17.903  1.00  8.17           C\nATOM    400  CE2 TYR A  54      41.815  -5.943  19.178  1.00  9.68           C\nATOM    401  CZ  TYR A  54      40.951  -6.868  18.640  1.00 21.17           C\nATOM    402  OH  TYR A  54      41.177  -8.197  18.834  1.00 13.60           O\nATOM    403  N   PHE A  55      40.287  -1.661  21.042  1.00  5.00           N\nATOM    404  CA  PHE A  55      40.531  -1.872  22.493  1.00  5.00           C\nATOM    405  C   PHE A  55      39.438  -1.294  23.381  1.00  5.00           C\nATOM    406  O   PHE A  55      39.313  -1.687  24.575  1.00  5.00           O\nATOM    407  CB  PHE A  55      41.908  -1.298  22.803  1.00  7.32           C\nATOM    408  CG  PHE A  55      43.060  -1.977  22.133  1.00  5.00           C\nATOM    409  CD1 PHE A  55      43.222  -3.320  22.158  1.00  5.00           C\nATOM    410  CD2 PHE A  55      43.992  -1.197  21.446  1.00 10.66           C\nATOM    411  CE1 PHE A  55      44.306  -3.955  21.539  1.00  8.76           C\nATOM    412  CE2 PHE A  55      45.090  -1.786  20.806  1.00 11.47           C\nATOM    413  CZ  PHE A  55      45.218  -3.174  20.867  1.00  5.00           C\nATOM    414  N   LEU A  56      38.615  -0.352  22.970  1.00  5.00           N\nATOM    415  CA  LEU A  56      37.519   0.238  23.717  1.00 12.66           C\nATOM    416  C   LEU A  56      36.371  -0.836  23.787  1.00  5.00           C\nATOM    417  O   LEU A  56      35.775  -0.994  24.846  1.00 20.78           O\nATOM    418  CB  LEU A  56      36.918   1.485  23.186  1.00  5.00           C\nATOM    419  CG  LEU A  56      36.523   2.675  24.035  1.00 21.10           C\nATOM    420  CD1 LEU A  56      35.106   3.118  23.687  1.00  5.00           C\nATOM    421  CD2 LEU A  56      36.569   2.355  25.526  1.00  5.00           C\nATOM    422  N   HIS A  57      36.181  -1.468  22.678  1.00  5.00           N\nATOM    423  CA  HIS A  57      35.155  -2.534  22.611  1.00  5.44           C\nATOM    424  C   HIS A  57      35.610  -3.683  23.487  1.00  5.00           C\nATOM    425  O   HIS A  57      34.798  -4.280  24.180  1.00 11.45           O\nATOM    426  CB  HIS A  57      34.849  -2.974  21.158  1.00  5.00           C\nATOM    427  CG  HIS A  57      33.959  -4.162  21.056  1.00 94.75           C\nATOM    428  ND1 HIS A  57      34.411  -5.450  20.850  1.00 65.89           N\nATOM    429  CD2 HIS A  57      32.611  -4.237  21.126  1.00 30.98           C\nATOM    430  CE1 HIS A  57      33.369  -6.265  20.809  1.00 28.80           C\nATOM    431  NE2 HIS A  57      32.271  -5.560  20.966  1.00100.00           N\nATOM    432  N   GLN A  58      36.892  -3.978  23.442  1.00 15.51           N\nATOM    433  CA  GLN A  58      37.502  -5.083  24.249  1.00  7.84           C\nATOM    434  C   GLN A  58      37.319  -4.778  25.736  1.00 12.73           C\nATOM    435  O   GLN A  58      37.026  -5.631  26.593  1.00 15.70           O\nATOM    436  CB  GLN A  58      38.939  -5.274  23.848  1.00  5.00           C\nATOM    437  CG  GLN A  58      39.365  -6.436  23.119  1.00 12.07           C\nATOM    438  CD  GLN A  58      38.460  -7.141  22.173  1.00 28.56           C\nATOM    439  OE1 GLN A  58      37.990  -8.257  22.409  1.00 78.18           O\nATOM    440  NE2 GLN A  58      38.199  -6.502  21.027  1.00 67.74           N\nATOM    441  N   SER A  59      37.483  -3.506  26.060  1.00 10.32           N\nATOM    442  CA  SER A  59      37.359  -2.959  27.398  1.00  5.00           C\nATOM    443  C   SER A  59      35.930  -3.194  27.933  1.00 26.51           C\nATOM    444  O   SER A  59      35.794  -3.620  29.095  1.00  6.24           O\nATOM    445  CB  SER A  59      37.671  -1.471  27.510  1.00  5.00           C\nATOM    446  OG  SER A  59      37.461  -0.992  28.816  1.00  9.06           O\nATOM    447  N   HIS A  60      34.938  -2.892  27.124  1.00  6.81           N\nATOM    448  CA  HIS A  60      33.536  -3.083  27.504  1.00  9.49           C\nATOM    449  C   HIS A  60      33.180  -4.566  27.689  1.00  7.23           C\nATOM    450  O   HIS A  60      32.408  -4.864  28.624  1.00 13.89           O\nATOM    451  CB  HIS A  60      32.501  -2.500  26.517  1.00  7.39           C\nATOM    452  CG  HIS A  60      32.636  -1.002  26.409  1.00 12.12           C\nATOM    453  ND1 HIS A  60      32.852  -0.144  27.420  1.00 31.36           N\nATOM    454  CD2 HIS A  60      32.584  -0.235  25.257  1.00 13.28           C\nATOM    455  CE1 HIS A  60      32.947   1.105  26.955  1.00  7.77           C\nATOM    456  NE2 HIS A  60      32.769   1.051  25.658  1.00 41.48           N\nATOM    457  N   GLU A  61      33.722  -5.419  26.858  1.00 23.24           N\nATOM    458  CA  GLU A  61      33.520  -6.873  26.893  1.00  7.07           C\nATOM    459  C   GLU A  61      33.927  -7.425  28.276  1.00 12.37           C\nATOM    460  O   GLU A  61      33.167  -8.095  28.958  1.00  7.62           O\nATOM    461  CB  GLU A  61      34.321  -7.658  25.905  1.00 30.31           C\nATOM    462  N   GLU A  62      35.167  -7.090  28.608  1.00  5.00           N\nATOM    463  CA  GLU A  62      35.762  -7.548  29.880  1.00  6.59           C\nATOM    464  C   GLU A  62      34.923  -7.135  31.055  1.00  5.00           C\nATOM    465  O   GLU A  62      34.771  -7.921  32.019  1.00 16.09           O\nATOM    466  CB  GLU A  62      37.220  -7.034  29.966  1.00  5.00           C\nATOM    467  CG  GLU A  62      38.235  -7.729  29.155  1.00  5.00           C\nATOM    468  CD  GLU A  62      38.162  -9.204  28.823  1.00  5.00           C\nATOM    469  OE1 GLU A  62      38.088  -9.917  29.838  1.00 17.90           O\nATOM    470  OE2 GLU A  62      38.218  -9.634  27.641  1.00 41.05           O\nATOM    471  N   ARG A  63      34.357  -5.955  31.012  1.00 10.84           N\nATOM    472  CA  ARG A  63      33.452  -5.409  32.106  1.00 12.31           C\nATOM    473  C   ARG A  63      32.250  -6.284  32.195  1.00  5.00           C\nATOM    474  O   ARG A  63      31.729  -6.524  33.274  1.00 15.98           O\nATOM    475  CB  ARG A  63      32.923  -3.931  31.870  1.00  5.00           C\nATOM    476  CG  ARG A  63      31.548  -3.534  32.614  1.00  5.00           C\nATOM    477  CD  ARG A  63      31.753  -2.902  34.039  1.00 30.00           C\nATOM    478  NE  ARG A  63      30.621  -2.239  34.878  1.00 30.00           N\nATOM    479  CZ  ARG A  63      30.550  -0.873  35.347  1.00 30.00           C\nATOM    480  NH1 ARG A  63      31.526   0.008  35.081  1.00 30.00           N\nATOM    481  NH2 ARG A  63      29.526  -0.375  36.056  1.00 30.00           N\nATOM    482  N   GLU A  64      31.796  -6.723  31.001  1.00  5.34           N\nATOM    483  CA  GLU A  64      30.574  -7.577  30.969  1.00  5.00           C\nATOM    484  C   GLU A  64      30.933  -8.955  31.515  1.00 16.49           C\nATOM    485  O   GLU A  64      30.085  -9.589  32.186  1.00  7.25           O\nATOM    486  CB  GLU A  64      29.941  -7.652  29.604  1.00  5.05           C\nATOM    487  N   HIS A  65      32.148  -9.417  31.298  1.00 11.80           N\nATOM    488  CA  HIS A  65      32.592 -10.718  31.824  1.00  9.69           C\nATOM    489  C   HIS A  65      32.524 -10.713  33.359  1.00  5.00           C\nATOM    490  O   HIS A  65      32.089 -11.725  33.900  1.00 12.20           O\nATOM    491  CB  HIS A  65      33.998 -11.137  31.395  1.00  9.50           C\nATOM    492  CG  HIS A  65      34.073 -11.442  29.931  1.00 18.16           C\nATOM    493  ND1 HIS A  65      35.234 -11.541  29.207  1.00 18.87           N\nATOM    494  CD2 HIS A  65      33.069 -11.680  29.054  1.00  5.00           C\nATOM    495  CE1 HIS A  65      34.950 -11.828  27.936  1.00  5.00           C\nATOM    496  NE2 HIS A  65      33.657 -11.929  27.831  1.00 30.14           N\nATOM    497  N   ALA A  66      32.907  -9.649  34.002  1.00  6.94           N\nATOM    498  CA  ALA A  66      32.886  -9.494  35.459  1.00  5.00           C\nATOM    499  C   ALA A  66      31.504  -9.456  36.081  1.00  5.00           C\nATOM    500  O   ALA A  66      31.183 -10.042  37.122  1.00  5.00           O\nATOM    501  CB  ALA A  66      33.569  -8.168  35.870  1.00  5.00           C\nATOM    502  N   GLU A  67      30.650  -8.706  35.424  1.00  5.00           N\nATOM    503  CA  GLU A  67      29.312  -8.486  35.926  1.00  5.00           C\nATOM    504  C   GLU A  67      28.515  -9.792  35.903  1.00  5.00           C\nATOM    505  O   GLU A  67      27.648 -10.000  36.735  1.00 17.90           O\nATOM    506  CB  GLU A  67      28.617  -7.437  35.078  1.00  5.00           C\nATOM    507  CG  GLU A  67      28.999  -5.995  35.452  1.00  5.00           C\nATOM    508  CD  GLU A  67      28.085  -5.002  34.698  1.00  6.57           C\nATOM    509  OE1 GLU A  67      26.826  -5.252  34.572  1.00 48.00           O\nATOM    510  OE2 GLU A  67      28.581  -3.923  34.195  1.00 21.00           O\nATOM    511  N   LYS A  68      28.823 -10.662  34.954  1.00  5.24           N\nATOM    512  CA  LYS A  68      28.213 -12.031  34.733  1.00  5.00           C\nATOM    513  C   LYS A  68      28.607 -12.902  35.965  1.00  5.00           C\nATOM    514  O   LYS A  68      27.794 -13.664  36.509  1.00 19.17           O\nATOM    515  CB  LYS A  68      28.719 -12.622  33.337  1.00  5.00           C\nATOM    516  CG  LYS A  68      27.859 -13.747  32.610  1.00 30.00           C\nATOM    517  CD  LYS A  68      27.572 -13.461  31.083  1.00 30.00           C\nATOM    518  CE  LYS A  68      27.209 -14.691  30.152  1.00 30.00           C\nATOM    519  NZ  LYS A  68      27.898 -14.637  28.871  1.00 30.00           N\nATOM    520  N   LEU A  69      29.867 -12.788  36.340  1.00  5.00           N\nATOM    521  CA  LEU A  69      30.379 -13.596  37.482  1.00  5.00           C\nATOM    522  C   LEU A  69      29.734 -13.040  38.765  1.00  5.00           C\nATOM    523  O   LEU A  69      29.452 -13.823  39.670  1.00 15.51           O\nATOM    524  CB  LEU A  69      31.883 -13.624  37.468  1.00  5.00           C\nATOM    525  CG  LEU A  69      32.592 -14.365  36.342  1.00 16.68           C\nATOM    526  CD1 LEU A  69      34.083 -13.988  36.327  1.00  5.00           C\nATOM    527  CD2 LEU A  69      32.481 -15.862  36.513  1.00  5.00           C\nATOM    528  N   MET A  70      29.537 -11.717  38.776  1.00  5.00           N\nATOM    529  CA  MET A  70      28.937 -11.077  39.998  1.00  5.00           C\nATOM    530  C   MET A  70      27.555 -11.679  40.177  1.00  5.00           C\nATOM    531  O   MET A  70      27.116 -11.990  41.285  1.00 10.35           O\nATOM    532  CB  MET A  70      28.992  -9.584  39.895  1.00  5.00           C\nATOM    533  CG  MET A  70      30.325  -9.032  40.154  1.00  5.00           C\nATOM    534  SD  MET A  70      30.420  -7.225  39.842  1.00  5.00           S\nATOM    535  CE  MET A  70      29.705  -6.531  41.265  1.00  9.81           C\nATOM    536  N   LYS A  71      26.886 -11.874  39.042  1.00  5.00           N\nATOM    537  CA  LYS A  71      25.556 -12.442  38.931  1.00  5.00           C\nATOM    538  C   LYS A  71      25.528 -13.910  39.327  1.00 15.11           C\nATOM    539  O   LYS A  71      24.658 -14.405  40.021  1.00  9.53           O\nATOM    540  CB  LYS A  71      25.058 -12.251  37.487  1.00  5.00           C\nATOM    541  CG  LYS A  71      23.584 -12.051  37.378  1.00 11.19           C\nATOM    542  CD  LYS A  71      22.916 -12.935  36.308  1.00 35.75           C\nATOM    543  CE  LYS A  71      21.462 -12.500  36.050  1.00100.00           C\nATOM    544  NZ  LYS A  71      20.850 -12.008  37.386  1.00 34.97           N\nATOM    545  N   LEU A  72      26.534 -14.670  38.901  1.00  5.00           N\nATOM    546  CA  LEU A  72      26.656 -16.072  39.252  1.00  5.00           C\nATOM    547  C   LEU A  72      26.809 -16.224  40.779  1.00  9.24           C\nATOM    548  O   LEU A  72      26.264 -17.204  41.337  1.00 10.46           O\nATOM    549  CB  LEU A  72      27.817 -16.728  38.481  1.00  5.00           C\nATOM    550  CG  LEU A  72      28.130 -18.139  39.092  1.00  9.99           C\nATOM    551  CD1 LEU A  72      27.279 -19.208  38.520  1.00  5.00           C\nATOM    552  CD2 LEU A  72      29.606 -18.361  38.817  1.00  5.00           C\nATOM    553  N   GLN A  73      27.570 -15.342  41.362  1.00  5.00           N\nATOM    554  CA  GLN A  73      27.860 -15.397  42.830  1.00  6.98           C\nATOM    555  C   GLN A  73      26.601 -15.291  43.650  1.00  5.00           C\nATOM    556  O   GLN A  73      26.344 -16.074  44.589  1.00  5.52           O\nATOM    557  CB  GLN A  73      28.912 -14.322  43.166  1.00  5.00           C\nATOM    558  CG  GLN A  73      29.423 -14.211  44.564  1.00  5.00           C\nATOM    559  CD  GLN A  73      30.515 -15.208  44.861  1.00  9.60           C\nATOM    560  OE1 GLN A  73      30.244 -16.409  44.830  1.00  5.00           O\nATOM    561  NE2 GLN A  73      31.751 -14.777  45.085  1.00  8.20           N\nATOM    562  N   ASN A  74      25.773 -14.312  43.359  1.00  7.81           N\nATOM    563  CA  ASN A  74      24.521 -14.058  44.090  1.00  5.00           C\nATOM    564  C   ASN A  74      23.564 -15.261  43.884  1.00 15.22           C\nATOM    565  O   ASN A  74      22.877 -15.674  44.807  1.00 15.85           O\nATOM    566  CB  ASN A  74      23.887 -12.739  43.683  1.00  7.65           C\nATOM    567  CG  ASN A  74      24.512 -11.505  44.336  1.00 12.51           C\nATOM    568  OD1 ASN A  74      25.253 -11.610  45.322  1.00 14.02           O\nATOM    569  ND2 ASN A  74      24.201 -10.363  43.755  1.00  5.00           N\nATOM    570  N   GLN A  75      23.557 -15.743  42.665  1.00  5.00           N\nATOM    571  CA  GLN A  75      22.721 -16.853  42.264  1.00  5.00           C\nATOM    572  C   GLN A  75      23.005 -18.139  43.067  1.00  5.00           C\nATOM    573  O   GLN A  75      22.050 -18.878  43.291  1.00 22.98           O\nATOM    574  CB  GLN A  75      22.882 -17.262  40.815  1.00  5.00           C\nATOM    575  CG  GLN A  75      22.331 -16.373  39.789  1.00 17.41           C\nATOM    576  CD  GLN A  75      22.307 -16.940  38.389  1.00 15.15           C\nATOM    577  OE1 GLN A  75      23.146 -17.753  37.975  1.00 51.79           O\nATOM    578  NE2 GLN A  75      21.303 -16.516  37.626  1.00100.00           N\nATOM    579  N   ARG A  76      24.233 -18.370  43.377  1.00  9.65           N\nATOM    580  CA  ARG A  76      24.662 -19.564  44.103  1.00  5.00           C\nATOM    581  C   ARG A  76      24.628 -19.338  45.606  1.00  5.00           C\nATOM    582  O   ARG A  76      24.843 -20.279  46.350  1.00  8.50           O\nATOM    583  CB  ARG A  76      26.051 -19.959  43.591  1.00  5.00           C\nATOM    584  CG  ARG A  76      26.001 -20.549  42.171  1.00  7.01           C\nATOM    585  CD  ARG A  76      25.061 -21.694  42.062  1.00  9.23           C\nATOM    586  NE  ARG A  76      25.377 -22.881  42.881  1.00  5.00           N\nATOM    587  CZ  ARG A  76      26.350 -23.744  42.680  1.00  5.00           C\nATOM    588  NH1 ARG A  76      27.122 -23.740  41.575  1.00  5.89           N\nATOM    589  NH2 ARG A  76      26.664 -24.700  43.573  1.00  5.19           N\nATOM    590  N   GLY A  77      24.360 -18.105  46.041  1.00 13.72           N\nATOM    591  CA  GLY A  77      24.311 -17.740  47.450  1.00  5.00           C\nATOM    592  C   GLY A  77      25.588 -17.346  48.121  1.00 12.85           C\nATOM    593  O   GLY A  77      25.756 -17.403  49.370  1.00 15.93           O\nATOM    594  N   GLY A  78      26.557 -16.932  47.321  1.00 14.91           N\nATOM    595  CA  GLY A  78      27.879 -16.493  47.832  1.00  5.00           C\nATOM    596  C   GLY A  78      27.763 -14.967  48.027  1.00  5.65           C\nATOM    597  O   GLY A  78      26.768 -14.313  47.691  1.00 14.04           O\nATOM    598  N   ARG A  79      28.851 -14.442  48.543  1.00  8.29           N\nATOM    599  CA  ARG A  79      28.961 -13.005  48.807  1.00  5.00           C\nATOM    600  C   ARG A  79      30.156 -12.433  48.087  1.00 14.83           C\nATOM    601  O   ARG A  79      31.244 -12.995  48.178  1.00  5.00           O\nATOM    602  CB  ARG A  79      29.020 -12.754  50.324  1.00  9.06           C\nATOM    603  CG  ARG A  79      27.705 -13.382  50.938  1.00 29.16           C\nATOM    604  CD  ARG A  79      26.572 -12.612  50.375  1.00 24.90           C\nATOM    605  NE  ARG A  79      25.258 -12.911  50.863  1.00 41.40           N\nATOM    606  CZ  ARG A  79      24.295 -13.351  50.035  1.00 59.85           C\nATOM    607  NH1 ARG A  79      24.454 -13.459  48.723  1.00 14.82           N\nATOM    608  NH2 ARG A  79      23.137 -13.712  50.572  1.00 16.02           N\nATOM    609  N   ILE A  80      29.875 -11.326  47.403  1.00  5.00           N\nATOM    610  CA  ILE A  80      30.828 -10.576  46.626  1.00 13.69           C\nATOM    611  C   ILE A  80      31.700  -9.738  47.555  1.00 14.33           C\nATOM    612  O   ILE A  80      31.146  -8.961  48.368  1.00 25.21           O\nATOM    613  CB  ILE A  80      30.100  -9.688  45.530  1.00  5.00           C\nATOM    614  CG1 ILE A  80      29.138 -10.543  44.682  1.00 12.36           C\nATOM    615  CG2 ILE A  80      31.062  -8.933  44.584  1.00  5.00           C\nATOM    616  CD1 ILE A  80      28.162  -9.625  43.864  1.00  7.22           C\nATOM    617  N   PHE A  81      32.981  -9.880  47.419  1.00  5.00           N\nATOM    618  CA  PHE A  81      33.983  -9.133  48.210  1.00 13.65           C\nATOM    619  C   PHE A  81      34.860  -8.552  47.080  1.00 15.18           C\nATOM    620  O   PHE A  81      35.389  -9.359  46.304  1.00  9.46           O\nATOM    621  CB  PHE A  81      34.758  -9.904  49.281  1.00  5.00           C\nATOM    622  N   LEU A  82      34.908  -7.251  47.003  1.00 10.95           N\nATOM    623  CA  LEU A  82      35.683  -6.523  45.987  1.00  5.00           C\nATOM    624  C   LEU A  82      37.016  -6.003  46.557  1.00 15.90           C\nATOM    625  O   LEU A  82      37.125  -5.735  47.758  1.00 17.74           O\nATOM    626  CB  LEU A  82      34.851  -5.389  45.393  1.00  5.00           C\nATOM    627  CG  LEU A  82      33.459  -5.667  44.869  1.00  5.47           C\nATOM    628  CD1 LEU A  82      32.743  -4.318  44.846  1.00  6.25           C\nATOM    629  CD2 LEU A  82      33.524  -6.299  43.488  1.00  5.00           C\nATOM    630  N   GLN A  83      37.977  -5.885  45.679  1.00  5.00           N\nATOM    631  CA  GLN A  83      39.344  -5.453  46.012  1.00  8.39           C\nATOM    632  C   GLN A  83      39.721  -4.304  45.127  1.00  9.91           C\nATOM    633  O   GLN A  83      38.955  -4.028  44.163  1.00 10.40           O\nATOM    634  CB  GLN A  83      40.175  -6.789  45.948  1.00  5.00           C\nATOM    635  N   ASP A  84      40.800  -3.603  45.323  1.00  5.00           N\nATOM    636  CA  ASP A  84      41.249  -2.481  44.514  1.00  5.00           C\nATOM    637  C   ASP A  84      41.501  -2.951  43.074  1.00  6.83           C\nATOM    638  O   ASP A  84      41.783  -4.122  42.844  1.00  9.88           O\nATOM    639  CB  ASP A  84      42.504  -1.756  45.139  1.00  7.27           C\nATOM    640  CG  ASP A  84      42.318  -1.042  46.449  1.00 16.99           C\nATOM    641  OD1 ASP A  84      41.061  -0.833  46.688  1.00 20.14           O\nATOM    642  OD2 ASP A  84      43.080  -0.617  47.371  1.00 17.83           O\nATOM    643  N   ILE A  85      41.386  -2.040  42.117  1.00  8.74           N\nATOM    644  CA  ILE A  85      41.676  -2.324  40.731  1.00  5.00           C\nATOM    645  C   ILE A  85      43.017  -1.570  40.439  1.00 14.63           C\nATOM    646  O   ILE A  85      43.077  -0.335  40.402  1.00  6.05           O\nATOM    647  CB  ILE A  85      40.606  -1.978  39.667  1.00  7.78           C\nATOM    648  CG1 ILE A  85      39.234  -2.516  40.029  1.00  5.00           C\nATOM    649  CG2 ILE A  85      41.064  -2.554  38.283  1.00  5.00           C\nATOM    650  CD1 ILE A  85      38.055  -1.899  39.286  1.00  9.06           C\nATOM    651  N   GLN A  86      44.008  -2.407  40.286  1.00 13.72           N\nATOM    652  CA  GLN A  86      45.380  -1.988  40.026  1.00 10.19           C\nATOM    653  C   GLN A  86      45.491  -1.290  38.661  1.00 25.84           C\nATOM    654  O   GLN A  86      44.840  -1.594  37.663  1.00 22.72           O\nATOM    655  CB  GLN A  86      46.379  -3.148  40.080  1.00 16.32           C\nATOM    656  CG  GLN A  86      46.660  -3.795  41.396  1.00 11.62           C\nATOM    657  CD  GLN A  86      47.120  -2.872  42.515  1.00 17.48           C\nATOM    658  OE1 GLN A  86      48.111  -2.109  42.586  1.00 46.42           O\nATOM    659  NE2 GLN A  86      46.239  -3.003  43.517  1.00 14.05           N\nATOM    660  N   LYS A  87      46.373  -0.306  38.669  1.00  5.00           N\nATOM    661  CA  LYS A  87      46.985   0.554  37.611  1.00 26.45           C\nATOM    662  C   LYS A  87      47.435  -0.481  36.580  1.00  5.00           C\nATOM    663  O   LYS A  87      48.151  -1.348  37.086  1.00 25.41           O\nATOM    664  CB  LYS A  87      48.267   1.259  38.237  1.00  5.00           C\nATOM    665  CG  LYS A  87      48.491   2.848  38.293  1.00 30.00           C\nATOM    666  CD  LYS A  87      49.969   3.201  38.116  1.00 30.00           C\nATOM    667  CE  LYS A  87      50.349   3.451  36.658  1.00 30.00           C\nATOM    668  NZ  LYS A  87      50.886   4.868  36.371  1.00 30.00           N\nATOM    669  N   PRO A  88      47.158  -0.251  35.335  1.00 29.88           N\nATOM    670  CA  PRO A  88      47.778  -1.141  34.288  1.00  7.62           C\nATOM    671  C   PRO A  88      49.259  -0.873  34.469  1.00 25.79           C\nATOM    672  O   PRO A  88      49.635   0.189  35.032  1.00 33.84           O\nATOM    673  CB  PRO A  88      47.057  -0.798  33.070  1.00 17.38           C\nATOM    674  CG  PRO A  88      46.024   0.194  33.401  1.00  5.00           C\nATOM    675  CD  PRO A  88      46.338   0.784  34.727  1.00  5.00           C\nATOM    676  N   ASP A  89      50.041  -1.853  34.071  1.00 31.55           N\nATOM    677  CA  ASP A  89      51.507  -1.740  34.248  1.00100.00           C\nATOM    678  C   ASP A  89      52.148  -0.715  33.342  1.00100.00           C\nATOM    679  O   ASP A  89      53.187  -0.143  33.763  1.00 72.81           O\nATOM    680  CB  ASP A  89      52.097  -3.173  34.083  1.00 48.15           C\nATOM    681  N   CYS A  90      51.616  -0.464  32.166  1.00100.00           N\nATOM    682  CA  CYS A  90      52.194   0.495  31.219  1.00100.00           C\nATOM    683  C   CYS A  90      51.376   1.776  31.091  1.00100.00           C\nATOM    684  O   CYS A  90      50.149   1.745  31.266  1.00100.00           O\nATOM    685  CB  CYS A  90      52.342  -0.137  29.827  1.00 49.43           C\nATOM    686  N   ASP A  91      52.100   2.843  30.759  1.00 27.98           N\nATOM    687  CA  ASP A  91      51.433   4.168  30.570  1.00 96.96           C\nATOM    688  C   ASP A  91      51.561   4.437  29.054  1.00 50.43           C\nATOM    689  O   ASP A  91      50.637   4.951  28.417  1.00100.00           O\nATOM    690  CB  ASP A  91      51.966   5.237  31.490  1.00 55.71           C\nATOM    691  N   ASP A  92      52.724   4.054  28.555  1.00100.00           N\nATOM    692  CA  ASP A  92      53.053   4.188  27.121  1.00100.00           C\nATOM    693  C   ASP A  92      53.091   2.724  26.615  1.00100.00           C\nATOM    694  O   ASP A  92      53.593   1.867  27.368  1.00 49.65           O\nATOM    695  CB  ASP A  92      54.314   4.956  26.803  1.00 64.14           C\nATOM    696  N   TRP A  93      52.561   2.553  25.418  1.00 34.19           N\nATOM    697  CA  TRP A  93      52.513   1.185  24.856  1.00 66.68           C\nATOM    698  C   TRP A  93      53.281   1.049  23.558  1.00 21.16           C\nATOM    699  O   TRP A  93      53.034   0.010  22.942  1.00 34.22           O\nATOM    700  CB  TRP A  93      51.076   0.675  24.637  1.00 20.83           C\nATOM    701  CG  TRP A  93      50.229   0.666  25.846  1.00 26.25           C\nATOM    702  CD1 TRP A  93      49.474   1.711  26.329  1.00 25.33           C\nATOM    703  CD2 TRP A  93      50.047  -0.429  26.760  1.00 11.48           C\nATOM    704  NE1 TRP A  93      48.812   1.337  27.495  1.00 21.45           N\nATOM    705  CE2 TRP A  93      49.153   0.041  27.776  1.00 43.72           C\nATOM    706  CE3 TRP A  93      50.510  -1.727  26.821  1.00100.00           C\nATOM    707  CZ2 TRP A  93      48.744  -0.763  28.825  1.00 46.09           C\nATOM    708  CZ3 TRP A  93      50.092  -2.555  27.874  1.00 21.00           C\nATOM    709  CH2 TRP A  93      49.239  -2.067  28.849  1.00100.00           C\nATOM    710  N   GLU A  94      54.117   1.976  23.212  1.00 21.18           N\nATOM    711  CA  GLU A  94      55.005   1.999  22.071  1.00  5.00           C\nATOM    712  C   GLU A  94      54.602   1.867  20.637  1.00 37.81           C\nATOM    713  O   GLU A  94      55.145   2.683  19.809  1.00 30.42           O\nATOM    714  CB  GLU A  94      56.001   0.727  22.280  1.00 47.07           C\nATOM    715  N   SER A  95      53.789   0.939  20.218  1.00 59.60           N\nATOM    716  CA  SER A  95      53.339   0.706  18.884  1.00  9.49           C\nATOM    717  C   SER A  95      52.098  -0.193  18.848  1.00 10.20           C\nATOM    718  O   SER A  95      51.654  -0.778  19.817  1.00 14.51           O\nATOM    719  CB  SER A  95      54.361  -0.010  17.931  1.00  6.91           C\nATOM    720  OG  SER A  95      54.499  -1.322  18.442  1.00 28.45           O\nATOM    721  N   GLY A  96      51.616  -0.283  17.596  1.00  9.94           N\nATOM    722  CA  GLY A  96      50.429  -1.100  17.357  1.00  7.78           C\nATOM    723  C   GLY A  96      50.658  -2.557  17.697  1.00 10.88           C\nATOM    724  O   GLY A  96      49.777  -3.181  18.356  1.00 12.08           O\nATOM    725  N   LEU A  97      51.770  -3.069  17.216  1.00  5.00           N\nATOM    726  CA  LEU A  97      52.169  -4.475  17.397  1.00 17.70           C\nATOM    727  C   LEU A  97      52.442  -4.793  18.863  1.00 10.04           C\nATOM    728  O   LEU A  97      52.043  -5.846  19.383  1.00 16.18           O\nATOM    729  CB  LEU A  97      53.369  -4.794  16.447  1.00  5.00           C\nATOM    730  CG  LEU A  97      54.141  -6.055  16.839  1.00 23.77           C\nATOM    731  CD1 LEU A  97      53.269  -7.294  16.652  1.00  5.00           C\nATOM    732  CD2 LEU A  97      55.403  -6.199  15.994  1.00 11.17           C\nATOM    733  N   ASN A  98      53.126  -3.861  19.521  1.00 10.94           N\nATOM    734  CA  ASN A  98      53.459  -4.054  20.916  1.00 17.69           C\nATOM    735  C   ASN A  98      52.152  -4.214  21.710  1.00  7.64           C\nATOM    736  O   ASN A  98      52.067  -5.130  22.559  1.00 15.87           O\nATOM    737  CB  ASN A  98      54.355  -2.911  21.449  1.00  5.00           C\nATOM    738  CG  ASN A  98      55.087  -3.413  22.703  1.00100.00           C\nATOM    739  OD1 ASN A  98      55.989  -4.256  22.601  1.00 68.04           O\nATOM    740  ND2 ASN A  98      54.693  -2.909  23.865  1.00 34.99           N\nATOM    741  N   ALA A  99      51.230  -3.343  21.392  1.00  5.00           N\nATOM    742  CA  ALA A  99      49.927  -3.362  22.149  1.00  5.00           C\nATOM    743  C   ALA A  99      49.187  -4.663  21.941  1.00 18.98           C\nATOM    744  O   ALA A  99      48.609  -5.202  22.916  1.00 11.75           O\nATOM    745  CB  ALA A  99      49.157  -2.120  21.754  1.00 10.63           C\nATOM    746  N   MET A 100      49.219  -5.209  20.748  1.00  5.00           N\nATOM    747  CA  MET A 100      48.561  -6.462  20.411  1.00  5.00           C\nATOM    748  C   MET A 100      49.271  -7.628  21.126  1.00 10.64           C\nATOM    749  O   MET A 100      48.599  -8.574  21.560  1.00  8.99           O\nATOM    750  CB  MET A 100      48.529  -6.762  18.922  1.00  5.00           C\nATOM    751  CG  MET A 100      47.740  -5.764  18.115  1.00  8.86           C\nATOM    752  SD  MET A 100      45.995  -6.364  18.232  1.00 15.42           S\nATOM    753  CE  MET A 100      45.190  -5.124  17.231  1.00  9.93           C\nATOM    754  N   GLU A 101      50.571  -7.475  21.195  1.00  5.00           N\nATOM    755  CA  GLU A 101      51.406  -8.513  21.845  1.00  9.00           C\nATOM    756  C   GLU A 101      51.125  -8.527  23.335  1.00 20.73           C\nATOM    757  O   GLU A 101      51.116  -9.634  23.925  1.00 15.45           O\nATOM    758  CB  GLU A 101      52.867  -8.292  21.542  1.00  5.03           C\nATOM    759  CG  GLU A 101      53.494  -9.272  20.508  1.00  9.36           C\nATOM    760  CD  GLU A 101      54.833  -8.828  19.991  1.00 13.93           C\nATOM    761  OE1 GLU A 101      55.315  -7.873  20.655  1.00 41.90           O\nATOM    762  OE2 GLU A 101      55.445  -9.327  19.016  1.00 56.64           O\nATOM    763  N   CYS A 102      50.888  -7.368  23.917  1.00 13.13           N\nATOM    764  CA  CYS A 102      50.584  -7.297  25.373  1.00 14.99           C\nATOM    765  C   CYS A 102      49.164  -7.841  25.581  1.00 12.02           C\nATOM    766  O   CYS A 102      48.928  -8.484  26.616  1.00 14.21           O\nATOM    767  CB  CYS A 102      50.825  -5.894  25.896  1.00  8.41           C\nATOM    768  SG  CYS A 102      50.092  -5.539  27.569  1.00 46.33           S\nATOM    769  N   ALA A 103      48.257  -7.622  24.658  1.00 14.19           N\nATOM    770  CA  ALA A 103      46.864  -8.121  24.849  1.00  5.94           C\nATOM    771  C   ALA A 103      46.838  -9.631  24.744  1.00  9.01           C\nATOM    772  O   ALA A 103      46.054 -10.270  25.499  1.00 20.25           O\nATOM    773  CB  ALA A 103      45.940  -7.456  23.868  1.00  5.00           C\nATOM    774  N   LEU A 104      47.659 -10.205  23.894  1.00 14.47           N\nATOM    775  CA  LEU A 104      47.713 -11.667  23.747  1.00 23.59           C\nATOM    776  C   LEU A 104      48.152 -12.349  25.057  1.00 19.70           C\nATOM    777  O   LEU A 104      47.628 -13.372  25.471  1.00 11.47           O\nATOM    778  CB  LEU A 104      48.640 -12.064  22.624  1.00  9.73           C\nATOM    779  CG  LEU A 104      48.744 -13.605  22.436  1.00 16.20           C\nATOM    780  CD1 LEU A 104      47.456 -14.256  22.017  1.00  5.00           C\nATOM    781  CD2 LEU A 104      49.794 -13.792  21.360  1.00  9.89           C\nATOM    782  N   HIS A 105      49.141 -11.711  25.644  1.00 13.21           N\nATOM    783  CA  HIS A 105      49.747 -12.155  26.908  1.00 11.36           C\nATOM    784  C   HIS A 105      48.690 -12.051  27.993  1.00 31.91           C\nATOM    785  O   HIS A 105      48.528 -13.011  28.760  1.00 14.03           O\nATOM    786  CB  HIS A 105      51.066 -11.372  27.202  1.00 16.96           C\nATOM    787  N   LEU A 106      47.972 -10.923  28.050  1.00  5.00           N\nATOM    788  CA  LEU A 106      46.918 -10.705  29.030  1.00  5.84           C\nATOM    789  C   LEU A 106      45.857 -11.829  28.976  1.00  6.70           C\nATOM    790  O   LEU A 106      45.526 -12.430  29.994  1.00 10.49           O\nATOM    791  CB  LEU A 106      46.270  -9.328  28.834  1.00  8.67           C\nATOM    792  CG  LEU A 106      45.040  -8.935  29.612  1.00  5.00           C\nATOM    793  CD1 LEU A 106      45.351  -8.870  31.108  1.00  9.59           C\nATOM    794  CD2 LEU A 106      44.541  -7.561  29.233  1.00  7.74           C\nATOM    795  N   GLU A 107      45.383 -12.079  27.762  1.00 14.50           N\nATOM    796  CA  GLU A 107      44.347 -13.116  27.557  1.00  5.00           C\nATOM    797  C   GLU A 107      44.828 -14.504  27.893  1.00 13.84           C\nATOM    798  O   GLU A 107      44.044 -15.342  28.451  1.00 11.72           O\nATOM    799  CB  GLU A 107      43.862 -13.050  26.119  1.00 13.69           C\nATOM    800  CG  GLU A 107      43.040 -11.820  25.724  1.00 23.74           C\nATOM    801  CD  GLU A 107      41.699 -11.660  26.407  1.00  9.35           C\nATOM    802  OE1 GLU A 107      41.163 -12.545  27.076  1.00 27.13           O\nATOM    803  OE2 GLU A 107      41.170 -10.529  26.198  1.00 11.82           O\nATOM    804  N   LYS A 108      46.071 -14.798  27.589  1.00  5.98           N\nATOM    805  CA  LYS A 108      46.595 -16.170  27.938  1.00  9.10           C\nATOM    806  C   LYS A 108      46.576 -16.300  29.469  1.00 13.76           C\nATOM    807  O   LYS A 108      46.218 -17.379  30.019  1.00 10.79           O\nATOM    808  CB  LYS A 108      47.914 -16.380  27.305  1.00  5.00           C\nATOM    809  CG  LYS A 108      47.938 -16.818  25.904  1.00  5.00           C\nATOM    810  CD  LYS A 108      49.312 -16.788  25.286  1.00  8.38           C\nATOM    811  CE  LYS A 108      49.739 -18.108  24.688  1.00 37.50           C\nATOM    812  NZ  LYS A 108      51.080 -17.956  24.032  1.00 41.82           N\nATOM    813  N   ASN A 109      46.910 -15.250  30.170  1.00  8.04           N\nATOM    814  CA  ASN A 109      46.941 -15.201  31.638  1.00 13.44           C\nATOM    815  C   ASN A 109      45.546 -15.329  32.247  1.00  5.38           C\nATOM    816  O   ASN A 109      45.432 -15.965  33.309  1.00 13.30           O\nATOM    817  CB  ASN A 109      47.672 -13.917  32.148  1.00 10.42           C\nATOM    818  CG  ASN A 109      49.179 -14.225  32.106  1.00 37.15           C\nATOM    819  OD1 ASN A 109      49.981 -13.378  31.727  1.00 72.86           O\nATOM    820  ND2 ASN A 109      49.536 -15.458  32.473  1.00100.00           N\nATOM    821  N   VAL A 110      44.547 -14.752  31.620  1.00 13.69           N\nATOM    822  CA  VAL A 110      43.169 -14.868  32.103  1.00  5.00           C\nATOM    823  C   VAL A 110      42.697 -16.320  31.928  1.00  8.58           C\nATOM    824  O   VAL A 110      41.969 -16.828  32.778  1.00 19.69           O\nATOM    825  CB  VAL A 110      42.244 -13.860  31.402  1.00 20.25           C\nATOM    826  CG1 VAL A 110      40.755 -14.095  31.645  1.00  5.00           C\nATOM    827  CG2 VAL A 110      42.616 -12.448  31.800  1.00  6.99           C\nATOM    828  N   ASN A 111      43.113 -16.953  30.854  1.00  7.99           N\nATOM    829  CA  ASN A 111      42.721 -18.375  30.570  1.00  5.00           C\nATOM    830  C   ASN A 111      43.304 -19.366  31.549  1.00  5.00           C\nATOM    831  O   ASN A 111      42.654 -20.391  31.851  1.00 15.69           O\nATOM    832  CB  ASN A 111      43.079 -18.648  29.085  1.00  5.02           C\nATOM    833  CG  ASN A 111      42.398 -19.827  28.471  1.00 20.71           C\nATOM    834  OD1 ASN A 111      41.247 -20.130  28.817  1.00 15.12           O\nATOM    835  ND2 ASN A 111      43.054 -20.562  27.563  1.00  5.00           N\nATOM    836  N   GLN A 112      44.490 -19.162  32.076  1.00 11.33           N\nATOM    837  CA  GLN A 112      45.104 -20.076  33.054  1.00 16.04           C\nATOM    838  C   GLN A 112      44.280 -20.064  34.356  1.00 10.36           C\nATOM    839  O   GLN A 112      44.024 -21.063  35.007  1.00 20.38           O\nATOM    840  CB  GLN A 112      46.516 -19.572  33.313  1.00 12.56           C\nATOM    841  CG  GLN A 112      47.431 -20.575  33.978  1.00 30.00           C\nATOM    842  CD  GLN A 112      47.582 -21.857  33.186  1.00 30.00           C\nATOM    843  OE1 GLN A 112      48.075 -21.835  32.053  1.00 30.00           O\nATOM    844  NE2 GLN A 112      47.186 -22.968  33.727  1.00 30.00           N\nATOM    845  N   SER A 113      43.873 -18.861  34.691  1.00  7.57           N\nATOM    846  CA  SER A 113      43.110 -18.563  35.903  1.00  5.00           C\nATOM    847  C   SER A 113      41.813 -19.335  35.816  1.00  5.00           C\nATOM    848  O   SER A 113      41.455 -20.038  36.758  1.00 14.91           O\nATOM    849  CB  SER A 113      42.993 -17.048  36.029  1.00  5.00           C\nATOM    850  OG  SER A 113      42.132 -16.737  37.086  1.00 12.36           O\nATOM    851  N   LEU A 114      41.223 -19.209  34.669  1.00  8.90           N\nATOM    852  CA  LEU A 114      39.925 -19.903  34.349  1.00  5.00           C\nATOM    853  C   LEU A 114      40.164 -21.409  34.281  1.00 11.80           C\nATOM    854  O   LEU A 114      39.293 -22.146  34.787  1.00 16.32           O\nATOM    855  CB  LEU A 114      39.401 -19.250  33.119  1.00  5.00           C\nATOM    856  CG  LEU A 114      38.716 -17.920  33.050  1.00 17.45           C\nATOM    857  CD1 LEU A 114      38.527 -17.496  31.561  1.00  5.00           C\nATOM    858  CD2 LEU A 114      37.352 -17.966  33.741  1.00 11.81           C\nATOM    859  N   LEU A 115      41.292 -21.863  33.734  1.00  5.00           N\nATOM    860  CA  LEU A 115      41.577 -23.316  33.712  1.00 10.14           C\nATOM    861  C   LEU A 115      41.764 -23.838  35.156  1.00  5.00           C\nATOM    862  O   LEU A 115      41.339 -24.974  35.516  1.00 16.25           O\nATOM    863  CB  LEU A 115      42.745 -23.612  32.745  1.00  5.00           C\nATOM    864  CG  LEU A 115      42.369 -23.523  31.261  1.00 10.78           C\nATOM    865  CD1 LEU A 115      43.590 -23.612  30.352  1.00 12.39           C\nATOM    866  CD2 LEU A 115      41.397 -24.653  30.914  1.00  5.00           C\nATOM    867  N   GLU A 116      42.331 -23.052  36.028  1.00 15.38           N\nATOM    868  CA  GLU A 116      42.553 -23.377  37.420  1.00  5.00           C\nATOM    869  C   GLU A 116      41.274 -23.423  38.244  1.00 14.55           C\nATOM    870  O   GLU A 116      41.129 -24.256  39.149  1.00 17.43           O\nATOM    871  CB  GLU A 116      43.501 -22.344  38.102  1.00  6.47           C\nATOM    872  CG  GLU A 116      44.982 -22.838  37.961  1.00 35.37           C\nATOM    873  CD  GLU A 116      46.014 -21.776  38.046  1.00 36.96           C\nATOM    874  OE1 GLU A 116      45.561 -20.664  38.405  1.00 99.19           O\nATOM    875  OE2 GLU A 116      47.230 -21.966  37.798  1.00100.00           O\nATOM    876  N   LEU A 117      40.354 -22.534  37.941  1.00 16.91           N\nATOM    877  CA  LEU A 117      39.057 -22.455  38.642  1.00  5.00           C\nATOM    878  C   LEU A 117      38.237 -23.676  38.245  1.00  7.50           C\nATOM    879  O   LEU A 117      37.508 -24.314  39.054  1.00  5.00           O\nATOM    880  CB  LEU A 117      38.450 -21.091  38.348  1.00 13.54           C\nATOM    881  CG  LEU A 117      37.003 -20.768  38.560  1.00 22.83           C\nATOM    882  CD1 LEU A 117      36.440 -20.916  39.962  1.00 12.86           C\nATOM    883  CD2 LEU A 117      36.862 -19.264  38.250  1.00  7.40           C\nATOM    884  N   HIS A 118      38.368 -23.997  36.960  1.00  5.00           N\nATOM    885  CA  HIS A 118      37.583 -25.178  36.473  1.00  5.00           C\nATOM    886  C   HIS A 118      38.053 -26.452  37.128  1.00  5.00           C\nATOM    887  O   HIS A 118      37.217 -27.336  37.463  1.00 16.22           O\nATOM    888  CB  HIS A 118      37.639 -25.220  34.939  1.00 10.54           C\nATOM    889  CG  HIS A 118      36.815 -26.379  34.441  1.00 14.07           C\nATOM    890  ND1 HIS A 118      37.212 -27.688  34.555  1.00 22.10           N\nATOM    891  CD2 HIS A 118      35.613 -26.392  33.826  1.00  5.00           C\nATOM    892  CE1 HIS A 118      36.306 -28.460  34.020  1.00  5.00           C\nATOM    893  NE2 HIS A 118      35.309 -27.685  33.561  1.00 10.99           N\nATOM    894  N   LYS A 119      39.354 -26.572  37.331  1.00 10.70           N\nATOM    895  CA  LYS A 119      39.943 -27.790  37.972  1.00 24.19           C\nATOM    896  C   LYS A 119      39.518 -27.857  39.436  1.00 13.07           C\nATOM    897  O   LYS A 119      39.312 -28.936  40.013  1.00  6.32           O\nATOM    898  CB  LYS A 119      41.453 -27.853  37.816  1.00  8.05           C\nATOM    899  CG  LYS A 119      42.122 -28.827  38.816  1.00 12.10           C\nATOM    900  N   LEU A 120      39.353 -26.713  40.060  1.00  8.74           N\nATOM    901  CA  LEU A 120      38.888 -26.594  41.445  1.00  5.00           C\nATOM    902  C   LEU A 120      37.418 -27.022  41.520  1.00 14.23           C\nATOM    903  O   LEU A 120      37.097 -27.897  42.363  1.00 34.03           O\nATOM    904  CB  LEU A 120      39.197 -25.174  41.898  1.00 13.33           C\nATOM    905  CG  LEU A 120      38.448 -24.665  43.113  1.00 31.29           C\nATOM    906  CD1 LEU A 120      38.857 -25.424  44.375  1.00 43.77           C\nATOM    907  CD2 LEU A 120      38.781 -23.211  43.290  1.00 31.35           C\nATOM    908  N   ALA A 121      36.564 -26.483  40.639  1.00  5.00           N\nATOM    909  CA  ALA A 121      35.131 -26.862  40.624  1.00 23.40           C\nATOM    910  C   ALA A 121      34.971 -28.390  40.527  1.00  7.71           C\nATOM    911  O   ALA A 121      34.184 -29.011  41.243  1.00 14.13           O\nATOM    912  CB  ALA A 121      34.373 -26.185  39.505  1.00  5.00           C\nATOM    913  N   THR A 122      35.741 -28.989  39.648  1.00 18.69           N\nATOM    914  CA  THR A 122      35.785 -30.426  39.427  1.00  5.60           C\nATOM    915  C   THR A 122      36.123 -31.154  40.728  1.00 13.21           C\nATOM    916  O   THR A 122      35.415 -32.091  41.087  1.00 25.83           O\nATOM    917  CB  THR A 122      36.797 -30.850  38.293  1.00  9.15           C\nATOM    918  OG1 THR A 122      36.365 -30.124  37.099  1.00 20.22           O\nATOM    919  CG2 THR A 122      36.836 -32.347  38.096  1.00 56.98           C\nATOM    920  N   ASP A 123      37.165 -30.689  41.405  1.00  8.14           N\nATOM    921  CA  ASP A 123      37.617 -31.272  42.676  1.00  5.00           C\nATOM    922  C   ASP A 123      36.568 -31.214  43.790  1.00 21.40           C\nATOM    923  O   ASP A 123      36.564 -32.092  44.668  1.00 23.57           O\nATOM    924  CB  ASP A 123      38.902 -30.579  43.160  1.00  5.00           C\nATOM    925  CG  ASP A 123      40.127 -31.192  42.481  1.00 21.52           C\nATOM    926  OD1 ASP A 123      39.896 -32.222  41.815  1.00 38.95           O\nATOM    927  OD2 ASP A 123      41.246 -30.686  42.613  1.00 45.00           O\nATOM    928  N   LYS A 124      35.762 -30.194  43.770  1.00 13.89           N\nATOM    929  CA  LYS A 124      34.727 -29.928  44.726  1.00  5.00           C\nATOM    930  C   LYS A 124      33.411 -30.554  44.257  1.00 15.49           C\nATOM    931  O   LYS A 124      32.418 -30.377  44.946  1.00 17.99           O\nATOM    932  CB  LYS A 124      34.436 -28.452  44.904  1.00 22.99           C\nATOM    933  CG  LYS A 124      35.461 -27.654  45.686  1.00  5.41           C\nATOM    934  CD  LYS A 124      36.369 -28.638  46.408  1.00 11.66           C\nATOM    935  CE  LYS A 124      37.338 -27.945  47.352  1.00 25.88           C\nATOM    936  NZ  LYS A 124      38.015 -28.989  48.165  1.00 36.60           N\nATOM    937  N   ASN A 125      33.436 -31.191  43.118  1.00  7.62           N\nATOM    938  CA  ASN A 125      32.205 -31.781  42.550  1.00  5.00           C\nATOM    939  C   ASN A 125      31.104 -30.716  42.440  1.00 21.40           C\nATOM    940  O   ASN A 125      30.047 -30.891  43.080  1.00 10.50           O\nATOM    941  CB  ASN A 125      31.662 -33.007  43.305  1.00 11.17           C\nATOM    942  CG  ASN A 125      32.778 -34.030  43.493  1.00 54.25           C\nATOM    943  OD1 ASN A 125      33.192 -34.624  42.488  1.00 67.40           O\nATOM    944  ND2 ASN A 125      33.238 -34.196  44.716  1.00 37.57           N\nATOM    945  N   ASP A 126      31.421 -29.721  41.616  1.00 10.64           N\nATOM    946  CA  ASP A 126      30.356 -28.650  41.404  1.00  5.00           C\nATOM    947  C   ASP A 126      30.200 -28.600  39.874  1.00  5.00           C\nATOM    948  O   ASP A 126      30.892 -27.824  39.195  1.00 10.48           O\nATOM    949  CB  ASP A 126      30.676 -27.388  42.109  1.00  5.00           C\nATOM    950  CG  ASP A 126      29.628 -26.283  41.994  1.00 16.10           C\nATOM    951  OD1 ASP A 126      28.686 -26.346  41.199  1.00 24.16           O\nATOM    952  OD2 ASP A 126      29.803 -25.292  42.754  1.00 11.83           O\nATOM    953  N   PRO A 127      29.302 -29.469  39.423  1.00  5.00           N\nATOM    954  CA  PRO A 127      29.000 -29.598  38.002  1.00 10.30           C\nATOM    955  C   PRO A 127      28.305 -28.346  37.495  1.00 23.30           C\nATOM    956  O   PRO A 127      28.474 -28.027  36.304  1.00  5.00           O\nATOM    957  CB  PRO A 127      28.163 -30.827  37.840  1.00  5.00           C\nATOM    958  CG  PRO A 127      27.625 -31.139  39.198  1.00  5.00           C\nATOM    959  CD  PRO A 127      28.506 -30.403  40.182  1.00  5.00           C\nATOM    960  N   HIS A 128      27.578 -27.684  38.402  1.00 15.73           N\nATOM    961  CA  HIS A 128      26.903 -26.448  37.859  1.00  5.00           C\nATOM    962  C   HIS A 128      28.003 -25.443  37.589  1.00 13.35           C\nATOM    963  O   HIS A 128      27.974 -24.777  36.526  1.00 10.17           O\nATOM    964  CB  HIS A 128      25.775 -25.979  38.768  1.00  5.00           C\nATOM    965  CG  HIS A 128      25.363 -24.601  38.366  1.00  5.00           C\nATOM    966  ND1 HIS A 128      25.804 -23.476  38.978  1.00 23.09           N\nATOM    967  CD2 HIS A 128      24.615 -24.200  37.326  1.00 16.29           C\nATOM    968  CE1 HIS A 128      25.304 -22.401  38.350  1.00  5.00           C\nATOM    969  NE2 HIS A 128      24.583 -22.806  37.353  1.00  5.04           N\nATOM    970  N   LEU A 129      29.005 -25.305  38.458  1.00  5.00           N\nATOM    971  CA  LEU A 129      30.067 -24.274  38.163  1.00  5.00           C\nATOM    972  C   LEU A 129      30.890 -24.647  36.941  1.00 19.91           C\nATOM    973  O   LEU A 129      31.296 -23.766  36.166  1.00 14.38           O\nATOM    974  CB  LEU A 129      30.875 -24.081  39.435  1.00  5.34           C\nATOM    975  CG  LEU A 129      31.950 -23.030  39.494  1.00 16.79           C\nATOM    976  CD1 LEU A 129      31.387 -21.678  39.080  1.00  8.56           C\nATOM    977  CD2 LEU A 129      32.468 -22.946  40.925  1.00  5.00           C\nATOM    978  N   CYS A 130      31.178 -25.932  36.784  1.00  9.07           N\nATOM    979  CA  CYS A 130      31.979 -26.419  35.657  1.00  5.00           C\nATOM    980  C   CYS A 130      31.407 -26.037  34.307  1.00 24.46           C\nATOM    981  O   CYS A 130      32.145 -25.543  33.433  1.00 12.32           O\nATOM    982  CB  CYS A 130      32.103 -27.952  35.799  1.00  5.73           C\nATOM    983  SG  CYS A 130      33.374 -28.407  36.979  1.00  9.35           S\nATOM    984  N   ASP A 131      30.100 -26.284  34.126  1.00  5.00           N\nATOM    985  CA  ASP A 131      29.426 -25.983  32.845  1.00 23.19           C\nATOM    986  C   ASP A 131      29.366 -24.444  32.606  1.00  5.00           C\nATOM    987  O   ASP A 131      29.495 -24.024  31.428  1.00 16.72           O\nATOM    988  CB  ASP A 131      28.028 -26.622  32.882  1.00  9.48           C\nATOM    989  CG  ASP A 131      27.108 -26.317  31.686  1.00 39.88           C\nATOM    990  OD1 ASP A 131      27.347 -26.854  30.484  1.00 24.48           O\nATOM    991  OD2 ASP A 131      26.094 -25.562  31.909  1.00 16.09           O\nATOM    992  N   PHE A 132      29.145 -23.718  33.649  1.00  7.69           N\nATOM    993  CA  PHE A 132      29.051 -22.252  33.552  1.00  5.00           C\nATOM    994  C   PHE A 132      30.334 -21.715  32.920  1.00  5.00           C\nATOM    995  O   PHE A 132      30.274 -20.894  31.991  1.00 13.27           O\nATOM    996  CB  PHE A 132      28.730 -21.645  34.939  1.00  5.00           C\nATOM    997  CG  PHE A 132      28.602 -20.162  34.868  1.00  8.39           C\nATOM    998  CD1 PHE A 132      27.390 -19.561  34.548  1.00 32.87           C\nATOM    999  CD2 PHE A 132      29.731 -19.377  35.114  1.00  7.83           C\nATOM   1000  CE1 PHE A 132      27.301 -18.166  34.461  1.00 19.30           C\nATOM   1001  CE2 PHE A 132      29.672 -17.979  35.053  1.00 16.64           C\nATOM   1002  CZ  PHE A 132      28.462 -17.390  34.719  1.00 20.75           C\nATOM   1003  N   ILE A 133      31.476 -22.135  33.412  1.00 10.25           N\nATOM   1004  CA  ILE A 133      32.797 -21.716  32.951  1.00  6.80           C\nATOM   1005  C   ILE A 133      33.038 -22.123  31.499  1.00  5.00           C\nATOM   1006  O   ILE A 133      33.437 -21.356  30.608  1.00 18.92           O\nATOM   1007  CB  ILE A 133      33.904 -22.286  33.901  1.00 20.24           C\nATOM   1008  CG1 ILE A 133      33.769 -21.745  35.336  1.00 21.83           C\nATOM   1009  CG2 ILE A 133      35.302 -21.991  33.326  1.00  5.00           C\nATOM   1010  CD1 ILE A 133      33.783 -20.167  35.385  1.00 23.08           C\nATOM   1011  N   GLU A 134      32.801 -23.406  31.278  1.00  5.00           N\nATOM   1012  CA  GLU A 134      32.943 -24.084  30.001  1.00  9.29           C\nATOM   1013  C   GLU A 134      32.087 -23.382  28.936  1.00 13.02           C\nATOM   1014  O   GLU A 134      32.530 -23.097  27.799  1.00 22.40           O\nATOM   1015  CB  GLU A 134      32.484 -25.493  30.036  1.00 10.84           C\nATOM   1016  CG  GLU A 134      33.311 -26.668  30.486  1.00  5.00           C\nATOM   1017  CD  GLU A 134      32.531 -27.829  31.046  1.00 16.27           C\nATOM   1018  OE1 GLU A 134      31.364 -28.263  30.723  1.00 61.62           O\nATOM   1019  OE2 GLU A 134      33.222 -28.372  31.945  1.00 23.50           O\nATOM   1020  N   THR A 135      30.860 -23.107  29.341  1.00 15.76           N\nATOM   1021  CA  THR A 135      29.901 -22.467  28.433  1.00  6.54           C\nATOM   1022  C   THR A 135      30.027 -20.981  28.178  1.00  5.00           C\nATOM   1023  O   THR A 135      29.681 -20.570  27.030  1.00 24.34           O\nATOM   1024  CB  THR A 135      28.415 -22.778  28.981  1.00  5.00           C\nATOM   1025  OG1 THR A 135      28.294 -24.224  29.079  1.00 31.27           O\nATOM   1026  CG2 THR A 135      27.374 -22.144  28.098  1.00 15.08           C\nATOM   1027  N   HIS A 136      30.419 -20.182  29.136  1.00  5.00           N\nATOM   1028  CA  HIS A 136      30.490 -18.732  28.941  1.00 12.11           C\nATOM   1029  C   HIS A 136      31.903 -18.193  28.896  1.00 18.43           C\nATOM   1030  O   HIS A 136      32.020 -17.034  28.394  1.00 28.25           O\nATOM   1031  CB  HIS A 136      29.649 -17.986  30.035  1.00  5.00           C\nATOM   1032  CG  HIS A 136      28.190 -18.288  30.045  1.00 64.99           C\nATOM   1033  ND1 HIS A 136      27.269 -17.772  29.152  1.00 28.98           N\nATOM   1034  CD2 HIS A 136      27.479 -19.081  30.910  1.00 10.87           C\nATOM   1035  CE1 HIS A 136      26.070 -18.232  29.467  1.00 25.18           C\nATOM   1036  NE2 HIS A 136      26.164 -19.027  30.525  1.00 45.89           N\nATOM   1037  N   TYR A 137      32.911 -18.927  29.346  1.00 10.24           N\nATOM   1038  CA  TYR A 137      34.274 -18.376  29.315  1.00  9.96           C\nATOM   1039  C   TYR A 137      35.313 -19.089  28.516  1.00 16.70           C\nATOM   1040  O   TYR A 137      36.085 -18.342  27.800  1.00 23.87           O\nATOM   1041  CB  TYR A 137      34.736 -18.239  30.854  1.00  5.00           C\nATOM   1042  CG  TYR A 137      33.872 -17.204  31.542  1.00 18.01           C\nATOM   1043  CD1 TYR A 137      32.656 -17.478  32.177  1.00  5.00           C\nATOM   1044  CD2 TYR A 137      34.312 -15.879  31.533  1.00  9.41           C\nATOM   1045  CE1 TYR A 137      31.899 -16.472  32.781  1.00  5.00           C\nATOM   1046  CE2 TYR A 137      33.585 -14.847  32.130  1.00 12.46           C\nATOM   1047  CZ  TYR A 137      32.374 -15.156  32.744  1.00  7.86           C\nATOM   1048  OH  TYR A 137      31.741 -14.097  33.319  1.00 16.33           O\nATOM   1049  N   LEU A 138      35.440 -20.385  28.562  1.00  7.67           N\nATOM   1050  CA  LEU A 138      36.538 -21.114  27.850  1.00 31.42           C\nATOM   1051  C   LEU A 138      36.495 -21.042  26.339  1.00  5.29           C\nATOM   1052  O   LEU A 138      37.616 -20.833  25.715  1.00  7.68           O\nATOM   1053  CB  LEU A 138      36.506 -22.542  28.389  1.00 13.73           C\nATOM   1054  CG  LEU A 138      37.345 -23.119  29.456  1.00 20.00           C\nATOM   1055  CD1 LEU A 138      37.822 -22.183  30.551  1.00  6.65           C\nATOM   1056  CD2 LEU A 138      36.465 -24.166  30.198  1.00  6.58           C\nATOM   1057  N   ASN A 139      35.370 -21.183  25.712  1.00 12.78           N\nATOM   1058  CA  ASN A 139      35.353 -21.102  24.210  1.00 10.31           C\nATOM   1059  C   ASN A 139      35.565 -19.648  23.797  1.00  5.00           C\nATOM   1060  O   ASN A 139      36.215 -19.422  22.746  1.00 11.19           O\nATOM   1061  CB  ASN A 139      34.111 -21.719  23.561  1.00 14.35           C\nATOM   1062  CG  ASN A 139      34.441 -22.126  22.110  1.00100.00           C\nATOM   1063  OD1 ASN A 139      35.396 -22.853  21.782  1.00 22.62           O\nATOM   1064  ND2 ASN A 139      33.634 -21.643  21.168  1.00 60.96           N\nATOM   1065  N   GLU A 140      35.073 -18.708  24.591  1.00 11.01           N\nATOM   1066  CA  GLU A 140      35.281 -17.290  24.241  1.00  5.00           C\nATOM   1067  C   GLU A 140      36.778 -16.937  24.314  1.00  5.00           C\nATOM   1068  O   GLU A 140      37.297 -16.180  23.491  1.00 32.57           O\nATOM   1069  CB  GLU A 140      34.517 -16.299  25.106  1.00 17.13           C\nATOM   1070  N   GLN A 141      37.440 -17.535  25.283  1.00 11.06           N\nATOM   1071  CA  GLN A 141      38.872 -17.333  25.491  1.00  5.00           C\nATOM   1072  C   GLN A 141      39.698 -17.931  24.329  1.00  5.00           C\nATOM   1073  O   GLN A 141      40.621 -17.210  23.858  1.00 12.40           O\nATOM   1074  CB  GLN A 141      39.323 -17.909  26.819  1.00  5.00           C\nATOM   1075  CG  GLN A 141      39.303 -17.083  28.056  1.00 35.88           C\nATOM   1076  CD  GLN A 141      39.472 -15.598  27.897  1.00 11.65           C\nATOM   1077  OE1 GLN A 141      38.530 -14.823  28.054  1.00 39.15           O\nATOM   1078  NE2 GLN A 141      40.703 -15.207  27.561  1.00 12.36           N\nATOM   1079  N   VAL A 142      39.361 -19.138  23.859  1.00  5.00           N\nATOM   1080  CA  VAL A 142      40.245 -19.643  22.752  1.00 11.92           C\nATOM   1081  C   VAL A 142      39.974 -18.847  21.470  1.00  6.81           C\nATOM   1082  O   VAL A 142      40.959 -18.689  20.680  1.00 20.81           O\nATOM   1083  CB  VAL A 142      40.225 -21.185  22.535  1.00  7.92           C\nATOM   1084  CG1 VAL A 142      39.844 -21.957  23.778  1.00  5.00           C\nATOM   1085  CG2 VAL A 142      39.375 -21.574  21.365  1.00  5.00           C\nATOM   1086  N   LYS A 143      38.781 -18.363  21.294  1.00 11.14           N\nATOM   1087  CA  LYS A 143      38.524 -17.667  20.009  1.00  8.57           C\nATOM   1088  C   LYS A 143      39.297 -16.278  20.111  1.00  5.00           C\nATOM   1089  O   LYS A 143      39.795 -15.812  19.055  1.00  5.42           O\nATOM   1090  CB  LYS A 143      36.941 -17.941  19.631  1.00 10.50           C\nATOM   1091  CG  LYS A 143      35.774 -16.825  19.560  1.00 30.00           C\nATOM   1092  CD  LYS A 143      34.307 -17.468  19.146  1.00 30.00           C\nATOM   1093  CE  LYS A 143      33.051 -16.654  19.656  1.00 30.00           C\nATOM   1094  NZ  LYS A 143      31.682 -17.279  19.373  1.00 30.00           N\nATOM   1095  N   ALA A 144      39.424 -15.684  21.265  1.00 13.46           N\nATOM   1096  CA  ALA A 144      40.096 -14.426  21.537  1.00  5.00           C\nATOM   1097  C   ALA A 144      41.583 -14.457  21.267  1.00 14.65           C\nATOM   1098  O   ALA A 144      42.147 -13.534  20.631  1.00  8.91           O\nATOM   1099  CB  ALA A 144      39.802 -14.023  23.028  1.00  5.00           C\nATOM   1100  N   ILE A 145      42.239 -15.480  21.762  1.00  5.00           N\nATOM   1101  CA  ILE A 145      43.642 -15.767  21.616  1.00 11.62           C\nATOM   1102  C   ILE A 145      44.021 -16.052  20.173  1.00  5.00           C\nATOM   1103  O   ILE A 145      45.073 -15.597  19.736  1.00 13.20           O\nATOM   1104  CB  ILE A 145      44.063 -16.998  22.525  1.00  5.00           C\nATOM   1105  CG1 ILE A 145      43.860 -16.567  24.011  1.00  5.00           C\nATOM   1106  CG2 ILE A 145      45.459 -17.513  22.223  1.00  5.00           C\nATOM   1107  CD1 ILE A 145      43.697 -17.817  24.977  1.00  5.00           C\nATOM   1108  N   LYS A 146      43.175 -16.794  19.488  1.00 10.95           N\nATOM   1109  CA  LYS A 146      43.459 -17.146  18.051  1.00 15.39           C\nATOM   1110  C   LYS A 146      43.450 -15.872  17.236  1.00  5.00           C\nATOM   1111  O   LYS A 146      44.340 -15.591  16.408  1.00 14.42           O\nATOM   1112  CB  LYS A 146      42.490 -18.155  17.532  1.00 10.62           C\nATOM   1113  CG  LYS A 146      42.504 -18.645  16.100  1.00  5.00           C\nATOM   1114  CD  LYS A 146      43.765 -19.234  15.591  1.00  5.00           C\nATOM   1115  CE  LYS A 146      43.801 -19.614  14.139  1.00  5.00           C\nATOM   1116  NZ  LYS A 146      43.671 -18.616  13.126  1.00 15.17           N\nATOM   1117  N   GLU A 147      42.436 -15.060  17.493  1.00  5.00           N\nATOM   1118  CA  GLU A 147      42.276 -13.747  16.807  1.00 12.22           C\nATOM   1119  C   GLU A 147      43.454 -12.787  17.028  1.00 10.15           C\nATOM   1120  O   GLU A 147      43.890 -12.134  16.066  1.00  9.10           O\nATOM   1121  CB  GLU A 147      40.990 -13.038  17.225  1.00  5.00           C\nATOM   1122  CG  GLU A 147      41.026 -11.549  16.787  1.00 52.54           C\nATOM   1123  CD  GLU A 147      39.744 -10.785  16.962  1.00 12.11           C\nATOM   1124  OE1 GLU A 147      38.893 -11.179  16.155  1.00 61.11           O\nATOM   1125  OE2 GLU A 147      39.598  -9.868  17.806  1.00 44.80           O\nATOM   1126  N   LEU A 148      43.967 -12.704  18.246  1.00 17.78           N\nATOM   1127  CA  LEU A 148      45.128 -11.823  18.527  1.00  5.00           C\nATOM   1128  C   LEU A 148      46.375 -12.449  17.891  1.00  5.00           C\nATOM   1129  O   LEU A 148      47.260 -11.671  17.456  1.00  9.19           O\nATOM   1130  CB  LEU A 148      45.144 -11.611  20.002  1.00  6.80           C\nATOM   1131  CG  LEU A 148      44.039 -10.752  20.582  1.00 22.99           C\nATOM   1132  CD1 LEU A 148      43.949 -10.932  22.088  1.00  5.00           C\nATOM   1133  CD2 LEU A 148      44.331  -9.283  20.231  1.00  5.00           C\nATOM   1134  N   GLY A 149      46.423 -13.752  17.800  1.00  6.74           N\nATOM   1135  CA  GLY A 149      47.614 -14.406  17.125  1.00  5.00           C\nATOM   1136  C   GLY A 149      47.562 -13.987  15.662  1.00  5.00           C\nATOM   1137  O   GLY A 149      48.555 -13.560  15.095  1.00 12.42           O\nATOM   1138  N   ASP A 150      46.377 -14.105  15.037  1.00  5.00           N\nATOM   1139  CA  ASP A 150      46.219 -13.712  13.630  1.00  5.00           C\nATOM   1140  C   ASP A 150      46.738 -12.293  13.432  1.00 12.38           C\nATOM   1141  O   ASP A 150      47.543 -12.000  12.526  1.00 17.35           O\nATOM   1142  CB  ASP A 150      44.759 -13.877  13.162  1.00  5.00           C\nATOM   1143  CG  ASP A 150      44.351 -15.325  13.100  1.00  5.00           C\nATOM   1144  OD1 ASP A 150      45.105 -16.347  13.172  1.00  5.00           O\nATOM   1145  OD2 ASP A 150      43.113 -15.513  12.989  1.00  9.09           O\nATOM   1146  N   HIS A 151      46.253 -11.398  14.294  1.00  7.10           N\nATOM   1147  CA  HIS A 151      46.641  -9.971  14.183  1.00  5.00           C\nATOM   1148  C   HIS A 151      48.133  -9.810  14.300  1.00 10.69           C\nATOM   1149  O   HIS A 151      48.692  -9.082  13.446  1.00 15.02           O\nATOM   1150  CB  HIS A 151      45.909  -9.075  15.215  1.00  5.00           C\nATOM   1151  CG  HIS A 151      44.429  -8.963  14.974  1.00 10.30           C\nATOM   1152  ND1 HIS A 151      43.762  -9.314  13.849  1.00 11.35           N\nATOM   1153  CD2 HIS A 151      43.454  -8.490  15.837  1.00  5.00           C\nATOM   1154  CE1 HIS A 151      42.459  -9.083  13.988  1.00  5.00           C\nATOM   1155  NE2 HIS A 151      42.260  -8.553  15.205  1.00  8.43           N\nATOM   1156  N   VAL A 152      48.768 -10.403  15.282  1.00 11.23           N\nATOM   1157  CA  VAL A 152      50.228 -10.249  15.480  1.00  5.00           C\nATOM   1158  C   VAL A 152      50.975 -10.761  14.272  1.00 10.86           C\nATOM   1159  O   VAL A 152      51.986 -10.122  13.805  1.00 10.30           O\nATOM   1160  CB  VAL A 152      50.625 -10.914  16.815  1.00  8.04           C\nATOM   1161  CG1 VAL A 152      52.128 -11.027  17.020  1.00 22.59           C\nATOM   1162  CG2 VAL A 152      50.017 -10.203  18.009  1.00  5.00           C\nATOM   1163  N   THR A 153      50.518 -11.883  13.743  1.00  5.00           N\nATOM   1164  CA  THR A 153      51.207 -12.433  12.545  1.00  5.00           C\nATOM   1165  C   THR A 153      51.171 -11.455  11.396  1.00 13.10           C\nATOM   1166  O   THR A 153      52.215 -11.127  10.781  1.00 11.62           O\nATOM   1167  CB  THR A 153      50.585 -13.823  12.206  1.00  5.00           C\nATOM   1168  OG1 THR A 153      50.977 -14.646  13.331  1.00  6.77           O\nATOM   1169  CG2 THR A 153      51.068 -14.326  10.870  1.00  9.12           C\nATOM   1170  N   ASN A 154      49.996 -10.970  11.076  1.00  5.00           N\nATOM   1171  CA  ASN A 154      49.834  -9.992   9.958  1.00  5.00           C\nATOM   1172  C   ASN A 154      50.675  -8.757  10.103  1.00  5.00           C\nATOM   1173  O   ASN A 154      51.332  -8.349   9.158  1.00 15.88           O\nATOM   1174  CB  ASN A 154      48.322  -9.644   9.838  1.00  8.57           C\nATOM   1175  CG  ASN A 154      47.607 -10.688   9.026  1.00  5.00           C\nATOM   1176  OD1 ASN A 154      47.731 -10.709   7.794  1.00 17.45           O\nATOM   1177  ND2 ASN A 154      46.877 -11.592   9.609  1.00  8.08           N\nATOM   1178  N   LEU A 155      50.671  -8.129  11.274  1.00  6.39           N\nATOM   1179  CA  LEU A 155      51.436  -6.882  11.578  1.00  5.00           C\nATOM   1180  C   LEU A 155      52.917  -7.100  11.330  1.00  5.00           C\nATOM   1181  O   LEU A 155      53.683  -6.312  10.718  1.00  6.76           O\nATOM   1182  CB  LEU A 155      51.025  -6.501  12.988  1.00  5.00           C\nATOM   1183  CG  LEU A 155      50.302  -5.233  13.400  1.00 18.27           C\nATOM   1184  CD1 LEU A 155      49.597  -4.486  12.289  1.00 18.48           C\nATOM   1185  CD2 LEU A 155      49.223  -5.617  14.425  1.00  5.00           C\nATOM   1186  N   ARG A 156      53.380  -8.215  11.832  1.00  6.10           N\nATOM   1187  CA  ARG A 156      54.751  -8.679  11.728  1.00  8.22           C\nATOM   1188  C   ARG A 156      55.118  -8.933  10.282  1.00 24.31           C\nATOM   1189  O   ARG A 156      56.145  -8.381   9.819  1.00 13.00           O\nATOM   1190  CB  ARG A 156      54.925  -9.974  12.472  1.00  6.84           C\nATOM   1191  CG  ARG A 156      55.588  -9.799  13.821  1.00 17.37           C\nATOM   1192  CD  ARG A 156      55.410 -11.051  14.620  1.00 20.05           C\nATOM   1193  NE  ARG A 156      55.700 -10.935  16.060  1.00 30.00           N\nATOM   1194  CZ  ARG A 156      55.524 -11.951  16.941  1.00 30.00           C\nATOM   1195  NH1 ARG A 156      55.061 -13.159  16.547  1.00 30.00           N\nATOM   1196  NH2 ARG A 156      55.783 -11.867  18.256  1.00 30.00           N\nATOM   1197  N   LYS A 157      54.322  -9.706   9.563  1.00 13.83           N\nATOM   1198  CA  LYS A 157      54.673  -9.961   8.131  1.00  8.40           C\nATOM   1199  C   LYS A 157      54.615  -8.690   7.320  1.00  6.74           C\nATOM   1200  O   LYS A 157      55.428  -8.653   6.363  1.00 19.60           O\nATOM   1201  CB  LYS A 157      53.809 -11.060   7.501  1.00  5.20           C\nATOM   1202  N   MET A 158      53.798  -7.718   7.622  1.00 17.54           N\nATOM   1203  CA  MET A 158      53.709  -6.448   6.873  1.00 11.36           C\nATOM   1204  C   MET A 158      54.949  -5.568   7.093  1.00  9.45           C\nATOM   1205  O   MET A 158      55.163  -4.652   6.312  1.00 34.63           O\nATOM   1206  CB  MET A 158      52.477  -5.595   7.213  1.00  5.00           C\nATOM   1207  CG  MET A 158      51.247  -6.268   6.663  1.00 18.20           C\nATOM   1208  SD  MET A 158      49.761  -5.573   7.466  1.00 16.91           S\nATOM   1209  CE  MET A 158      49.626  -4.013   6.553  1.00 16.02           C\nATOM   1210  N   GLY A 159      55.698  -5.872   8.145  1.00 15.56           N\nATOM   1211  CA  GLY A 159      56.894  -5.151   8.502  1.00  5.00           C\nATOM   1212  C   GLY A 159      56.766  -4.198   9.679  1.00 15.93           C\nATOM   1213  O   GLY A 159      57.565  -3.242   9.821  1.00 19.48           O\nATOM   1214  N   ALA A 160      55.774  -4.433  10.529  1.00 15.75           N\nATOM   1215  CA  ALA A 160      55.643  -3.496  11.653  1.00 21.14           C\nATOM   1216  C   ALA A 160      56.628  -3.904  12.724  1.00 10.88           C\nATOM   1217  O   ALA A 160      57.096  -5.058  12.734  1.00 26.75           O\nATOM   1218  CB  ALA A 160      54.231  -3.557  12.210  1.00  5.88           C\nATOM   1219  N   PRO A 161      57.008  -3.038  13.684  1.00 28.96           N\nATOM   1220  CA  PRO A 161      56.522  -1.670  13.866  1.00 18.92           C\nATOM   1221  C   PRO A 161      57.388  -0.642  13.171  1.00  5.74           C\nATOM   1222  O   PRO A 161      57.011   0.624  13.212  1.00 47.26           O\nATOM   1223  CB  PRO A 161      56.638  -1.483  15.364  1.00 47.65           C\nATOM   1224  CG  PRO A 161      57.664  -2.485  15.830  1.00 33.48           C\nATOM   1225  CD  PRO A 161      57.984  -3.366  14.667  1.00 26.92           C\nATOM   1226  N   GLU A 170      58.507  -1.147  12.584  1.00 24.19           N\nATOM   1227  CA  GLU A 170      59.443  -0.253  11.883  1.00 38.51           C\nATOM   1228  C   GLU A 170      58.751   0.382  10.714  1.00 38.16           C\nATOM   1229  O   GLU A 170      59.067   1.573  10.392  1.00 31.00           O\nATOM   1230  CB  GLU A 170      60.722  -0.903  11.309  1.00 21.98           C\nATOM   1231  N   SER A 171      57.756  -0.265  10.182  1.00 25.69           N\nATOM   1232  CA  SER A 171      57.000   0.392   9.108  1.00 20.93           C\nATOM   1233  C   SER A 171      55.678   0.981   9.608  1.00 20.07           C\nATOM   1234  O   SER A 171      54.750   0.326  10.049  1.00 19.68           O\nATOM   1235  CB  SER A 171      56.822  -0.610   7.973  1.00 22.37           C\nATOM   1236  OG  SER A 171      56.110  -0.027   6.879  1.00 25.69           O\nATOM   1237  N   GLY A 172      55.627   2.319   9.494  1.00 21.15           N\nATOM   1238  CA  GLY A 172      54.517   3.180   9.842  1.00 26.12           C\nATOM   1239  C   GLY A 172      53.347   3.028   8.854  1.00 11.67           C\nATOM   1240  O   GLY A 172      52.170   3.155   9.243  1.00 24.70           O\nATOM   1241  N   LEU A 173      53.700   2.774   7.598  1.00  5.00           N\nATOM   1242  CA  LEU A 173      52.736   2.531   6.547  1.00  7.20           C\nATOM   1243  C   LEU A 173      51.976   1.227   6.827  1.00  5.00           C\nATOM   1244  O   LEU A 173      50.757   1.067   6.590  1.00 14.50           O\nATOM   1245  CB  LEU A 173      53.533   2.554   5.237  1.00  8.84           C\nATOM   1246  CG  LEU A 173      52.666   2.338   3.993  1.00 23.51           C\nATOM   1247  CD1 LEU A 173      52.031   3.655   3.599  1.00 17.73           C\nATOM   1248  CD2 LEU A 173      53.530   1.809   2.876  1.00  5.00           C\nATOM   1249  N   ALA A 174      52.731   0.277   7.394  1.00  5.00           N\nATOM   1250  CA  ALA A 174      52.182  -1.041   7.742  1.00 10.36           C\nATOM   1251  C   ALA A 174      51.102  -0.857   8.814  1.00 15.96           C\nATOM   1252  O   ALA A 174      49.993  -1.398   8.560  1.00 15.17           O\nATOM   1253  CB  ALA A 174      53.263  -2.039   8.170  1.00  5.00           C\nATOM   1254  N   GLU A 175      51.364  -0.142   9.881  1.00 11.36           N\nATOM   1255  CA  GLU A 175      50.275  -0.004  10.939  1.00 20.00           C\nATOM   1256  C   GLU A 175      49.096   0.807  10.465  1.00  9.02           C\nATOM   1257  O   GLU A 175      47.913   0.528  10.884  1.00  5.00           O\nATOM   1258  CB  GLU A 175      50.862   0.534  12.240  1.00  5.00           C\nATOM   1259  CG  GLU A 175      52.102  -0.205  12.772  1.00 17.54           C\nATOM   1260  CD  GLU A 175      52.349  -0.245  14.238  1.00 46.81           C\nATOM   1261  OE1 GLU A 175      52.197   0.839  14.831  1.00 31.71           O\nATOM   1262  OE2 GLU A 175      52.700  -1.291  14.825  1.00 24.39           O\nATOM   1263  N   TYR A 176      49.298   1.777   9.608  1.00  5.00           N\nATOM   1264  CA  TYR A 176      48.332   2.629   8.985  1.00  5.00           C\nATOM   1265  C   TYR A 176      47.383   1.792   8.103  1.00 10.02           C\nATOM   1266  O   TYR A 176      46.177   1.917   8.233  1.00  9.94           O\nATOM   1267  CB  TYR A 176      48.972   3.755   8.117  1.00  7.77           C\nATOM   1268  CG  TYR A 176      47.931   4.574   7.381  1.00 10.24           C\nATOM   1269  CD1 TYR A 176      47.502   4.170   6.117  1.00 19.54           C\nATOM   1270  CD2 TYR A 176      47.400   5.753   7.907  1.00  5.00           C\nATOM   1271  CE1 TYR A 176      46.560   4.892   5.402  1.00  5.00           C\nATOM   1272  CE2 TYR A 176      46.465   6.500   7.201  1.00  6.23           C\nATOM   1273  CZ  TYR A 176      46.031   6.057   5.951  1.00 12.75           C\nATOM   1274  OH  TYR A 176      45.078   6.778   5.272  1.00  5.00           O\nATOM   1275  N   LEU A 177      47.947   0.957   7.254  1.00  7.25           N\nATOM   1276  CA  LEU A 177      47.157   0.074   6.368  1.00  6.73           C\nATOM   1277  C   LEU A 177      46.350  -0.985   7.103  1.00  5.00           C\nATOM   1278  O   LEU A 177      45.179  -1.256   6.753  1.00  6.05           O\nATOM   1279  CB  LEU A 177      48.204  -0.463   5.372  1.00  7.84           C\nATOM   1280  CG  LEU A 177      48.597   0.433   4.215  1.00  7.54           C\nATOM   1281  CD1 LEU A 177      49.488  -0.240   3.212  1.00  5.00           C\nATOM   1282  CD2 LEU A 177      47.302   0.849   3.477  1.00  5.00           C\nATOM   1283  N   PHE A 178      46.825  -1.634   8.112  1.00  5.00           N\nATOM   1284  CA  PHE A 178      46.261  -2.631   8.973  1.00  5.00           C\nATOM   1285  C   PHE A 178      45.051  -2.030   9.733  1.00  5.00           C\nATOM   1286  O   PHE A 178      44.030  -2.653   9.910  1.00  5.00           O\nATOM   1287  CB  PHE A 178      47.244  -3.182  10.028  1.00  5.00           C\nATOM   1288  CG  PHE A 178      46.705  -4.297  10.857  1.00  8.27           C\nATOM   1289  CD1 PHE A 178      46.691  -5.611  10.360  1.00  5.00           C\nATOM   1290  CD2 PHE A 178      46.231  -4.068  12.146  1.00 13.25           C\nATOM   1291  CE1 PHE A 178      46.197  -6.665  11.075  1.00  5.00           C\nATOM   1292  CE2 PHE A 178      45.731  -5.133  12.925  1.00  9.36           C\nATOM   1293  CZ  PHE A 178      45.713  -6.427  12.366  1.00  9.27           C\nATOM   1294  N   ASP A 179      45.243  -0.810  10.172  1.00  5.00           N\nATOM   1295  CA  ASP A 179      44.202  -0.037  10.890  1.00  5.00           C\nATOM   1296  C   ASP A 179      43.005   0.193   9.955  1.00  9.98           C\nATOM   1297  O   ASP A 179      41.825   0.112  10.334  1.00 14.89           O\nATOM   1298  CB  ASP A 179      44.751   1.262  11.428  1.00  5.25           C\nATOM   1299  CG  ASP A 179      43.742   2.239  11.992  1.00  5.13           C\nATOM   1300  OD1 ASP A 179      43.220   2.974  11.156  1.00 14.84           O\nATOM   1301  OD2 ASP A 179      43.439   2.332  13.204  1.00 16.16           O\nATOM   1302  N   LYS A 180      43.323   0.475   8.702  1.00 16.39           N\nATOM   1303  CA  LYS A 180      42.352   0.730   7.680  1.00  5.00           C\nATOM   1304  C   LYS A 180      41.701  -0.560   7.182  1.00  9.01           C\nATOM   1305  O   LYS A 180      40.478  -0.710   7.265  1.00  9.60           O\nATOM   1306  CB  LYS A 180      42.933   1.414   6.426  1.00  7.32           C\nATOM   1307  CG  LYS A 180      43.443   2.819   6.649  1.00 43.87           C\nATOM   1308  CD  LYS A 180      42.392   3.813   7.108  1.00 25.37           C\nATOM   1309  CE  LYS A 180      42.995   5.159   7.506  1.00 32.71           C\nATOM   1310  NZ  LYS A 180      41.856   6.159   7.737  1.00 35.23           N\nATOM   1311  N   HIS A 181      42.529  -1.432   6.669  1.00  5.34           N\nATOM   1312  CA  HIS A 181      41.965  -2.682   6.029  1.00  6.21           C\nATOM   1313  C   HIS A 181      41.601  -3.766   6.966  1.00 11.45           C\nATOM   1314  O   HIS A 181      40.577  -4.509   6.596  1.00  7.59           O\nATOM   1315  CB  HIS A 181      42.961  -3.155   4.911  1.00  5.00           C\nATOM   1316  CG  HIS A 181      43.136  -2.104   3.827  1.00 20.63           C\nATOM   1317  ND1 HIS A 181      44.309  -1.417   3.537  1.00 17.94           N\nATOM   1318  CD2 HIS A 181      42.268  -1.659   2.930  1.00 11.34           C\nATOM   1319  CE1 HIS A 181      44.100  -0.597   2.538  1.00 47.81           C\nATOM   1320  NE2 HIS A 181      42.877  -0.713   2.131  1.00 62.95           N\nATOM   1321  N   THR A 182      42.213  -3.966   8.101  1.00 15.34           N\nATOM   1322  CA  THR A 182      41.734  -5.081   8.958  1.00  5.00           C\nATOM   1323  C   THR A 182      40.807  -4.646  10.085  1.00  7.72           C\nATOM   1324  O   THR A 182      39.745  -5.262  10.349  1.00 15.10           O\nATOM   1325  CB  THR A 182      42.957  -5.907   9.517  1.00  5.00           C\nATOM   1326  OG1 THR A 182      43.631  -6.455   8.355  1.00 17.70           O\nATOM   1327  CG2 THR A 182      42.466  -6.934  10.551  1.00  5.00           C\nATOM   1328  N   LEU A 183      41.244  -3.632  10.758  1.00  5.06           N\nATOM   1329  CA  LEU A 183      40.460  -3.167  11.976  1.00  5.00           C\nATOM   1330  C   LEU A 183      39.349  -2.283  11.541  1.00 15.63           C\nATOM   1331  O   LEU A 183      38.499  -1.913  12.383  1.00 25.86           O\nATOM   1332  CB  LEU A 183      41.621  -2.662  12.855  1.00  5.00           C\nATOM   1333  CG  LEU A 183      41.977  -3.370  14.135  1.00  9.29           C\nATOM   1334  CD1 LEU A 183      41.935  -4.909  14.004  1.00  5.00           C\nATOM   1335  CD2 LEU A 183      43.372  -2.954  14.553  1.00  5.00           C\nATOM   1336  N   GLY A 184      39.273  -1.890  10.287  1.00 35.79           N\nATOM   1337  CA  GLY A 184      38.240  -0.977   9.790  1.00 18.54           C\nATOM   1338  C   GLY A 184      36.986  -1.653   9.277  1.00 41.21           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.001",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.453",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.500",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.547",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1FHA-DS-6-9",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 1FHA (human H-chain ferritin, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "1FHA-9-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      4  N   SER A   6      23.011 -18.388  53.280  1.00 39.24           N\nATOM      5  CA  SER A   6      21.857 -18.181  52.370  1.00 30.45           C\nATOM      6  C   SER A   6      20.963 -19.416  52.281  1.00 20.25           C\nATOM      7  O   SER A   6      21.366 -20.593  52.261  1.00 22.76           O\nATOM      8  CB  SER A   6      22.391 -17.687  51.015  1.00 14.89           C\nATOM      9  OG  SER A   6      21.492 -17.869  49.924  1.00 20.30           O\nATOM     26  N   ARG A   9      21.792 -21.367  49.092  1.00 13.22           N\nATOM     27  CA  ARG A   9      23.092 -22.019  48.961  1.00  7.97           C\nATOM     28  C   ARG A   9      23.025 -23.528  49.004  1.00  7.57           C\nATOM     29  O   ARG A   9      22.461 -24.100  49.928  1.00 15.71           O\nATOM     30  CB  ARG A   9      24.059 -21.514  50.067  1.00  8.39           C\nATOM     31  CG  ARG A   9      25.511 -21.755  49.558  1.00  7.34           C\nATOM     32  CD  ARG A   9      26.430 -21.287  50.667  1.00  7.64           C\nATOM     33  NE  ARG A   9      27.811 -21.690  50.430  1.00 15.29           N\nATOM     34  CZ  ARG A   9      28.848 -20.858  50.439  1.00 15.00           C\nATOM     35  NH1 ARG A   9      28.711 -19.601  50.836  1.00  5.43           N\nATOM     36  NH2 ARG A   9      30.064 -21.264  50.079  1.00  7.54           N\nATOM     66  N   HIS A  13      30.951 -24.538  47.470  1.00  7.74           N\nATOM     67  CA  HIS A  13      32.112 -24.521  48.403  1.00  7.47           C\nATOM     68  C   HIS A  13      32.712 -23.162  48.565  1.00 10.57           C\nATOM     69  O   HIS A  13      32.766 -22.303  47.660  1.00 10.53           O\nATOM     70  CB  HIS A  13      33.083 -25.610  47.877  1.00  5.00           C\nATOM     71  CG  HIS A  13      34.115 -25.945  48.890  1.00 24.98           C\nATOM     72  ND1 HIS A  13      34.150 -27.126  49.569  1.00 32.42           N\nATOM     73  CD2 HIS A  13      35.178 -25.225  49.316  1.00 21.89           C\nATOM     74  CE1 HIS A  13      35.189 -27.116  50.382  1.00 12.24           C\nATOM     75  NE2 HIS A  13      35.839 -25.990  50.247  1.00 23.44           N\nATOM    177  N   LEU A  28      38.036  -7.209  35.786  1.00  5.00           N\nATOM    178  CA  LEU A  28      37.916  -5.787  36.009  1.00  5.00           C\nATOM    179  C   LEU A  28      39.222  -5.089  35.635  1.00  9.76           C\nATOM    180  O   LEU A  28      39.259  -4.046  35.016  1.00  6.48           O\nATOM    181  CB  LEU A  28      37.480  -5.507  37.497  1.00  5.00           C\nATOM    182  CG  LEU A  28      35.970  -5.722  37.783  1.00  5.00           C\nATOM    183  CD1 LEU A  28      35.618  -5.367  39.233  1.00  5.00           C\nATOM    184  CD2 LEU A  28      35.161  -4.909  36.770  1.00  5.00           C\nATOM    202  N   SER A  31      39.791  -5.081  31.926  1.00  5.56           N\nATOM    203  CA  SER A  31      38.975  -3.995  31.346  1.00  5.00           C\nATOM    204  C   SER A  31      39.737  -2.694  31.383  1.00  5.00           C\nATOM    205  O   SER A  31      39.723  -1.843  30.452  1.00  9.65           O\nATOM    206  CB  SER A  31      37.705  -3.900  32.142  1.00  5.00           C\nATOM    207  OG  SER A  31      36.827  -2.947  31.696  1.00 11.41           O\nATOM    349  N   LEU A  48      45.701   6.320  15.563  1.00  5.00           N\nATOM    350  CA  LEU A  48      45.254   5.118  14.891  1.00  5.00           C\nATOM    351  C   LEU A  48      43.868   4.821  15.493  1.00  5.00           C\nATOM    352  O   LEU A  48      43.736   4.043  16.432  1.00 16.22           O\nATOM    353  CB  LEU A  48      46.247   3.967  15.051  1.00  5.00           C\nATOM    354  CG  LEU A  48      47.614   4.320  14.433  1.00 23.26           C\nATOM    355  CD1 LEU A  48      48.692   3.323  14.810  1.00  5.00           C\nATOM    356  CD2 LEU A  48      47.458   4.305  12.936  1.00  5.00           C\nATOM    928  N   LYS A 124      35.762 -30.194  43.770  1.00 13.89           N\nATOM    929  CA  LYS A 124      34.727 -29.928  44.726  1.00  5.00           C\nATOM    930  C   LYS A 124      33.411 -30.554  44.257  1.00 15.49           C\nATOM    931  O   LYS A 124      32.418 -30.377  44.946  1.00 17.99           O\nATOM    932  CB  LYS A 124      34.436 -28.452  44.904  1.00 22.99           C\nATOM    933  CG  LYS A 124      35.461 -27.654  45.686  1.00  5.41           C\nATOM    934  CD  LYS A 124      36.369 -28.638  46.408  1.00 11.66           C\nATOM    935  CE  LYS A 124      37.338 -27.945  47.352  1.00 25.88           C\nATOM    936  NZ  LYS A 124      38.015 -28.989  48.165  1.00 36.60           N\nATOM   1263  N   TYR A 176      49.298   1.777   9.608  1.00  5.00           N\nATOM   1264  CA  TYR A 176      48.332   2.629   8.985  1.00  5.00           C\nATOM   1265  C   TYR A 176      47.383   1.792   8.103  1.00 10.02           C\nATOM   1266  O   TYR A 176      46.177   1.917   8.233  1.00  9.94           O\nATOM   1267  CB  TYR A 176      48.972   3.755   8.117  1.00  7.77           C\nATOM   1268  CG  TYR A 176      47.931   4.574   7.381  1.00 10.24           C\nATOM   1269  CD1 TYR A 176      47.502   4.170   6.117  1.00 19.54           C\nATOM   1270  CD2 TYR A 176      47.400   5.753   7.907  1.00  5.00           C\nATOM   1271  CE1 TYR A 176      46.560   4.892   5.402  1.00  5.00           C\nATOM   1272  CE2 TYR A 176      46.465   6.500   7.201  1.00  6.23           C\nATOM   1273  CZ  TYR A 176      46.031   6.057   5.951  1.00 12.75           C\nATOM   1274  OH  TYR A 176      45.078   6.778   5.272  1.00  5.00           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Leu28–Ser31"
    },
    {
     "label": "B",
     "value": "Leu48–Tyr176"
    },
    {
     "label": "C",
     "value": "His13–Lys124"
    },
    {
     "label": "D",
     "value": "Ser6–Arg9"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1FHA-FD-25-5-42",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 1FHA (human H-chain ferritin, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 4.0 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.25. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "1FHA-42-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  CA  THR A   5      24.188 -18.763  55.368  1.00 46.05           C\nATOM      2  C   THR A   5      22.902 -18.593  54.571  1.00100.00           C\nATOM      3  O   THR A   5      21.802 -18.672  55.141  1.00 31.36           O\nATOM    302  N   ASP A  42      44.444   7.235  20.593  1.00  5.00           N\nATOM    303  CA  ASP A  42      43.684   8.456  20.381  1.00 13.04           C\nATOM    304  C   ASP A  42      44.565   9.702  20.572  1.00  8.07           C\nATOM    305  O   ASP A  42      44.069  10.811  20.304  1.00  8.63           O\nATOM    306  CB  ASP A  42      42.441   8.421  21.286  1.00 10.13           C\nATOM    307  CG  ASP A  42      41.636   9.693  21.313  1.00 13.08           C\nATOM    308  OD1 ASP A  42      40.967   9.924  20.295  1.00  8.20           O\nATOM    309  OD2 ASP A  42      41.626  10.431  22.328  1.00 13.78           O\nATOM    321  N   ASP A  44      47.307  12.462  19.689  1.00 33.17           N\nATOM    322  CA  ASP A  44      47.641  13.173  18.455  1.00  5.00           C\nATOM    323  C   ASP A  44      49.009  12.713  17.952  1.00 17.33           C\nATOM    324  O   ASP A  44      49.239  12.902  16.745  1.00 10.36           O\nATOM    325  CB  ASP A  44      47.565  14.689  18.666  1.00  5.32           C\nATOM    326  CG  ASP A  44      48.789  15.263  19.350  1.00 13.74           C\nATOM    327  OD1 ASP A  44      49.773  15.620  18.635  1.00  8.40           O\nATOM    328  OD2 ASP A  44      48.789  15.375  20.587  1.00 31.79           O\nATOM    362  N   ASN A  50      41.237   3.173  14.603  1.00 19.99           N\nATOM    363  CA  ASN A  50      40.525   1.847  14.608  1.00  5.00           C\nATOM    364  C   ASN A  50      41.182   0.951  15.662  1.00  6.45           C\nATOM    365  O   ASN A  50      40.484   0.089  16.215  1.00 10.75           O\nATOM    366  CB  ASN A  50      40.477   1.329  13.197  1.00  5.00           C\nATOM    367  CG  ASN A  50      39.472   2.089  12.328  1.00  5.00           C\nATOM    368  OD1 ASN A  50      39.728   2.445  11.179  1.00 25.85           O\nATOM    369  ND2 ASN A  50      38.303   2.351  12.826  1.00 10.34           N\nATOM    502  N   GLU A  67      30.650  -8.706  35.424  1.00  5.00           N\nATOM    503  CA  GLU A  67      29.312  -8.486  35.926  1.00  5.00           C\nATOM    504  C   GLU A  67      28.515  -9.792  35.903  1.00  5.00           C\nATOM    505  O   GLU A  67      27.648 -10.000  36.735  1.00 17.90           O\nATOM    506  CB  GLU A  67      28.617  -7.437  35.078  1.00  5.00           C\nATOM    507  CG  GLU A  67      28.999  -5.995  35.452  1.00  5.00           C\nATOM    508  CD  GLU A  67      28.085  -5.002  34.698  1.00  6.57           C\nATOM    509  OE1 GLU A  67      26.826  -5.252  34.572  1.00 48.00           O\nATOM    510  OE2 GLU A  67      28.581  -3.923  34.195  1.00 21.00           O\nATOM    900  N   LEU A 120      39.353 -26.713  40.060  1.00  8.74           N\nATOM    901  CA  LEU A 120      38.888 -26.594  41.445  1.00  5.00           C\nATOM    902  C   LEU A 120      37.418 -27.022  41.520  1.00 14.23           C\nATOM    903  O   LEU A 120      37.097 -27.897  42.363  1.00 34.03           O\nATOM    904  CB  LEU A 120      39.197 -25.174  41.898  1.00 13.33           C\nATOM    905  CG  LEU A 120      38.448 -24.665  43.113  1.00 31.29           C\nATOM    906  CD1 LEU A 120      38.857 -25.424  44.375  1.00 43.77           C\nATOM    907  CD2 LEU A 120      38.781 -23.211  43.290  1.00 31.35           C\nATOM    920  N   ASP A 123      37.165 -30.689  41.405  1.00  8.14           N\nATOM    921  CA  ASP A 123      37.617 -31.272  42.676  1.00  5.00           C\nATOM    922  C   ASP A 123      36.568 -31.214  43.790  1.00 21.40           C\nATOM    923  O   ASP A 123      36.564 -32.092  44.668  1.00 23.57           O\nATOM    924  CB  ASP A 123      38.902 -30.579  43.160  1.00  5.00           C\nATOM    925  CG  ASP A 123      40.127 -31.192  42.481  1.00 21.52           C\nATOM    926  OD1 ASP A 123      39.896 -32.222  41.815  1.00 38.95           O\nATOM    927  OD2 ASP A 123      41.246 -30.686  42.613  1.00 45.00           O\nATOM   1049  N   LEU A 138      35.440 -20.385  28.562  1.00  7.67           N\nATOM   1050  CA  LEU A 138      36.538 -21.114  27.850  1.00 31.42           C\nATOM   1051  C   LEU A 138      36.495 -21.042  26.339  1.00  5.29           C\nATOM   1052  O   LEU A 138      37.616 -20.833  25.715  1.00  7.68           O\nATOM   1053  CB  LEU A 138      36.506 -22.542  28.389  1.00 13.73           C\nATOM   1054  CG  LEU A 138      37.345 -23.119  29.456  1.00 20.00           C\nATOM   1055  CD1 LEU A 138      37.822 -22.183  30.551  1.00  6.65           C\nATOM   1056  CD2 LEU A 138      36.465 -24.166  30.198  1.00  6.58           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Asp44–Glu67"
    },
    {
     "label": "B",
     "value": "Thr5–Asp42"
    },
    {
     "label": "C",
     "value": "Asn50–Asp123"
    },
    {
     "label": "D",
     "value": "Leu120–Leu138"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-12E8-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain H from PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Val2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "12E8-H2-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM   1651  N   GLU H   1      82.740  67.478 -16.962  1.00 45.84           N\nATOM   1652  CA  GLU H   1      82.605  66.612 -15.761  1.00 43.81           C\nATOM   1653  C   GLU H   1      83.184  65.225 -16.018  1.00 40.57           C\nATOM   1654  O   GLU H   1      83.611  64.921 -17.138  1.00 40.33           O\nATOM   1655  CB  GLU H   1      81.127  66.492 -15.352  1.00 45.88           C\nATOM   1656  CG  GLU H   1      80.639  67.572 -14.376  1.00 51.13           C\nATOM   1657  CD  GLU H   1      81.177  67.391 -12.948  1.00 53.58           C\nATOM   1658  OE1 GLU H   1      80.526  66.680 -12.149  1.00 53.58           O\nATOM   1659  OE2 GLU H   1      82.238  67.975 -12.617  1.00 53.64           O\nATOM   1660  N   VAL H   2      83.203  64.400 -14.970  1.00 37.56           N\nATOM   1661  CA  VAL H   2      83.683  63.029 -15.058  1.00 35.99           C\nATOM   1662  C   VAL H   2      82.746  62.355 -16.048  1.00 33.72           C\nATOM   1663  O   VAL H   2      81.520  62.384 -15.864  1.00 33.13           O\nATOM   1664  CB  VAL H   2      83.534  62.314 -13.698  1.00 38.94           C\nATOM   1665  CG1 VAL H   2      83.934  60.849 -13.803  1.00 43.62           C\nATOM   1666  CG2 VAL H   2      84.335  63.031 -12.636  1.00 39.62           C\nATOM   1667  N   GLN H   3      83.308  61.742 -17.084  1.00 29.15           N\nATOM   1668  CA  GLN H   3      82.476  61.076 -18.070  1.00 28.07           C\nATOM   1669  C   GLN H   3      83.099  59.845 -18.734  1.00 24.79           C\nATOM   1670  O   GLN H   3      84.297  59.812 -19.014  1.00 26.20           O\nATOM   1671  CB  GLN H   3      82.042  62.076 -19.141  1.00 30.33           C\nATOM   1672  CG  GLN H   3      81.017  61.502 -20.115  1.00 36.87           C\nATOM   1673  CD  GLN H   3      80.711  62.421 -21.281  1.00 39.15           C\nATOM   1674  OE1 GLN H   3      81.091  63.588 -21.285  1.00 43.62           O\nATOM   1675  NE2 GLN H   3      80.035  61.882 -22.287  1.00 41.34           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "-148.4",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "-61.9",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "118.1",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "126.0",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-12E8-SS-3",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 2–4 of chain H from PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of Gln3 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does Gln3 adopt?",
   "scope": "只含残基 2–4 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "12E8-H3-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM   1660  N   VAL H   2      83.203  64.400 -14.970  1.00 37.56           N\nATOM   1661  CA  VAL H   2      83.683  63.029 -15.058  1.00 35.99           C\nATOM   1662  C   VAL H   2      82.746  62.355 -16.048  1.00 33.72           C\nATOM   1663  O   VAL H   2      81.520  62.384 -15.864  1.00 33.13           O\nATOM   1664  CB  VAL H   2      83.534  62.314 -13.698  1.00 38.94           C\nATOM   1665  CG1 VAL H   2      83.934  60.849 -13.803  1.00 43.62           C\nATOM   1666  CG2 VAL H   2      84.335  63.031 -12.636  1.00 39.62           C\nATOM   1667  N   GLN H   3      83.308  61.742 -17.084  1.00 29.15           N\nATOM   1668  CA  GLN H   3      82.476  61.076 -18.070  1.00 28.07           C\nATOM   1669  C   GLN H   3      83.099  59.845 -18.734  1.00 24.79           C\nATOM   1670  O   GLN H   3      84.297  59.812 -19.014  1.00 26.20           O\nATOM   1671  CB  GLN H   3      82.042  62.076 -19.141  1.00 30.33           C\nATOM   1672  CG  GLN H   3      81.017  61.502 -20.115  1.00 36.87           C\nATOM   1673  CD  GLN H   3      80.711  62.421 -21.281  1.00 39.15           C\nATOM   1674  OE1 GLN H   3      81.091  63.588 -21.285  1.00 43.62           O\nATOM   1675  NE2 GLN H   3      80.035  61.882 -22.287  1.00 41.34           N\nATOM   1676  N   LEU H   4      82.258  58.844 -18.977  1.00 18.35           N\nATOM   1677  CA  LEU H   4      82.634  57.605 -19.642  1.00 16.56           C\nATOM   1678  C   LEU H   4      81.865  57.606 -20.952  1.00 15.74           C\nATOM   1679  O   LEU H   4      80.642  57.587 -20.954  1.00 16.55           O\nATOM   1680  CB  LEU H   4      82.226  56.395 -18.806  1.00 14.11           C\nATOM   1681  CG  LEU H   4      83.318  55.560 -18.129  1.00 12.35           C\nATOM   1682  CD1 LEU H   4      84.681  56.232 -18.240  1.00 11.22           C\nATOM   1683  CD2 LEU H   4      82.946  55.325 -16.679  1.00 13.84           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "right-handed α-helix"
    },
    {
     "label": "B",
     "value": "left-handed α-helix"
    },
    {
     "label": "C",
     "value": "β-strand"
    },
    {
     "label": "D",
     "value": "polyproline II"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-12E8-FRET-1-8",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain H of PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Glu1 and an acceptor as a point at atom CA of Gly8. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "inputs": [
    {
     "name": "12E8-chainH.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM   1651  N   GLU H   1      82.740  67.478 -16.962  1.00 45.84           N\nATOM   1652  CA  GLU H   1      82.605  66.612 -15.761  1.00 43.81           C\nATOM   1653  C   GLU H   1      83.184  65.225 -16.018  1.00 40.57           C\nATOM   1654  O   GLU H   1      83.611  64.921 -17.138  1.00 40.33           O\nATOM   1655  CB  GLU H   1      81.127  66.492 -15.352  1.00 45.88           C\nATOM   1656  CG  GLU H   1      80.639  67.572 -14.376  1.00 51.13           C\nATOM   1657  CD  GLU H   1      81.177  67.391 -12.948  1.00 53.58           C\nATOM   1658  OE1 GLU H   1      80.526  66.680 -12.149  1.00 53.58           O\nATOM   1659  OE2 GLU H   1      82.238  67.975 -12.617  1.00 53.64           O\nATOM   1660  N   VAL H   2      83.203  64.400 -14.970  1.00 37.56           N\nATOM   1661  CA  VAL H   2      83.683  63.029 -15.058  1.00 35.99           C\nATOM   1662  C   VAL H   2      82.746  62.355 -16.048  1.00 33.72           C\nATOM   1663  O   VAL H   2      81.520  62.384 -15.864  1.00 33.13           O\nATOM   1664  CB  VAL H   2      83.534  62.314 -13.698  1.00 38.94           C\nATOM   1665  CG1 VAL H   2      83.934  60.849 -13.803  1.00 43.62           C\nATOM   1666  CG2 VAL H   2      84.335  63.031 -12.636  1.00 39.62           C\nATOM   1667  N   GLN H   3      83.308  61.742 -17.084  1.00 29.15           N\nATOM   1668  CA  GLN H   3      82.476  61.076 -18.070  1.00 28.07           C\nATOM   1669  C   GLN H   3      83.099  59.845 -18.734  1.00 24.79           C\nATOM   1670  O   GLN H   3      84.297  59.812 -19.014  1.00 26.20           O\nATOM   1671  CB  GLN H   3      82.042  62.076 -19.141  1.00 30.33           C\nATOM   1672  CG  GLN H   3      81.017  61.502 -20.115  1.00 36.87           C\nATOM   1673  CD  GLN H   3      80.711  62.421 -21.281  1.00 39.15           C\nATOM   1674  OE1 GLN H   3      81.091  63.588 -21.285  1.00 43.62           O\nATOM   1675  NE2 GLN H   3      80.035  61.882 -22.287  1.00 41.34           N\nATOM   1676  N   LEU H   4      82.258  58.844 -18.977  1.00 18.35           N\nATOM   1677  CA  LEU H   4      82.634  57.605 -19.642  1.00 16.56           C\nATOM   1678  C   LEU H   4      81.865  57.606 -20.952  1.00 15.74           C\nATOM   1679  O   LEU H   4      80.642  57.587 -20.954  1.00 16.55           O\nATOM   1680  CB  LEU H   4      82.226  56.395 -18.806  1.00 14.11           C\nATOM   1681  CG  LEU H   4      83.318  55.560 -18.129  1.00 12.35           C\nATOM   1682  CD1 LEU H   4      84.681  56.232 -18.240  1.00 11.22           C\nATOM   1683  CD2 LEU H   4      82.946  55.325 -16.679  1.00 13.84           C\nATOM   1684  N   GLN H   5      82.588  57.651 -22.061  1.00 18.22           N\nATOM   1685  CA  GLN H   5      81.998  57.695 -23.393  1.00 18.67           C\nATOM   1686  C   GLN H   5      82.226  56.371 -24.123  1.00 15.82           C\nATOM   1687  O   GLN H   5      83.362  55.987 -24.372  1.00 13.81           O\nATOM   1688  CB  GLN H   5      82.646  58.856 -24.170  1.00 26.16           C\nATOM   1689  CG  GLN H   5      82.239  58.995 -25.627  1.00 34.00           C\nATOM   1690  CD  GLN H   5      80.878  59.665 -25.798  1.00 35.81           C\nATOM   1691  OE1 GLN H   5      80.728  60.868 -25.581  1.00 35.50           O\nATOM   1692  NE2 GLN H   5      79.893  58.884 -26.213  1.00 40.18           N\nATOM   1693  N   GLN H   6      81.141  55.678 -24.471  1.00 13.00           N\nATOM   1694  CA  GLN H   6      81.245  54.397 -25.167  1.00  9.69           C\nATOM   1695  C   GLN H   6      81.049  54.491 -26.678  1.00  9.47           C\nATOM   1696  O   GLN H   6      80.385  55.397 -27.175  1.00  7.16           O\nATOM   1697  CB  GLN H   6      80.249  53.393 -24.585  1.00  9.94           C\nATOM   1698  CG  GLN H   6      80.397  53.223 -23.105  1.00  8.94           C\nATOM   1699  CD  GLN H   6      79.587  52.086 -22.580  1.00  8.65           C\nATOM   1700  OE1 GLN H   6      78.826  52.220 -21.614  1.00  6.15           O\nATOM   1701  NE2 GLN H   6      79.731  50.940 -23.215  1.00  9.30           N\nATOM   1702  N   SER H   7      81.583  53.514 -27.400  1.00  9.74           N\nATOM   1703  CA  SER H   7      81.487  53.510 -28.853  1.00 10.46           C\nATOM   1704  C   SER H   7      80.054  53.260 -29.353  1.00 13.43           C\nATOM   1705  O   SER H   7      79.210  52.782 -28.596  1.00  8.84           O\nATOM   1706  CB  SER H   7      82.506  52.515 -29.431  1.00  7.97           C\nATOM   1707  OG  SER H   7      82.375  51.251 -28.805  1.00 11.22           O\nATOM   1708  N   GLY H   8      79.778  53.586 -30.620  1.00 14.68           N\nATOM   1709  CA  GLY H   8      78.433  53.419 -31.174  1.00  8.64           C\nATOM   1710  C   GLY H   8      77.943  51.984 -31.349  1.00 11.27           C\nATOM   1711  O   GLY H   8      78.738  51.032 -31.329  1.00 11.79           O\nATOM   1712  N   ALA H   9      76.641  51.837 -31.575  1.00  9.59           N\nATOM   1713  CA  ALA H   9      75.993  50.531 -31.758  1.00  8.32           C\nATOM   1714  C   ALA H   9      76.550  49.732 -32.920  1.00 10.87           C\nATOM   1715  O   ALA H   9      76.859  50.288 -33.968  1.00 15.52           O\nATOM   1716  CB  ALA H   9      74.499  50.718 -31.953  1.00  8.49           C\nATOM   1717  N   GLU H  10      76.607  48.413 -32.758  1.00 13.50           N\nATOM   1718  CA  GLU H  10      77.140  47.530 -33.789  1.00 11.18           C\nATOM   1719  C   GLU H  10      76.133  46.452 -34.159  1.00 10.44           C\nATOM   1720  O   GLU H  10      75.451  45.911 -33.281  1.00  6.48           O\nATOM   1721  CB  GLU H  10      78.382  46.804 -33.251  1.00 18.75           C\nATOM   1722  CG  GLU H  10      79.423  47.672 -32.546  1.00 22.69           C\nATOM   1723  CD  GLU H  10      80.528  48.123 -33.459  1.00 28.30           C\nATOM   1724  OE1 GLU H  10      80.339  48.082 -34.692  1.00 31.13           O\nATOM   1725  OE2 GLU H  10      81.587  48.538 -32.931  1.00 36.25           O\nATOM   1726  N   VAL H  11      76.020  46.175 -35.454  1.00 10.91           N\nATOM   1727  CA  VAL H  11      75.177  45.095 -35.946  1.00 13.32           C\nATOM   1728  C   VAL H  11      76.220  44.124 -36.504  1.00 15.20           C\nATOM   1729  O   VAL H  11      76.903  44.431 -37.474  1.00 16.13           O\nATOM   1730  CB  VAL H  11      74.226  45.537 -37.072  1.00 14.96           C\nATOM   1731  CG1 VAL H  11      73.474  44.322 -37.623  1.00 15.19           C\nATOM   1732  CG2 VAL H  11      73.218  46.549 -36.542  1.00 15.65           C\nATOM   1733  N   VAL H  12      76.386  42.980 -35.852  1.00 17.89           N\nATOM   1734  CA  VAL H  12      77.396  42.011 -36.276  1.00 16.69           C\nATOM   1735  C   VAL H  12      76.840  40.631 -36.615  1.00 15.88           C\nATOM   1736  O   VAL H  12      75.812  40.210 -36.091  1.00 12.68           O\nATOM   1737  CB  VAL H  12      78.463  41.822 -35.186  1.00 17.73           C\nATOM   1738  CG1 VAL H  12      78.955  43.154 -34.688  1.00 17.72           C\nATOM   1739  CG2 VAL H  12      77.888  41.036 -34.045  1.00 23.58           C\nATOM   1740  N   ARG H  13      77.594  39.894 -37.423  1.00 15.19           N\nATOM   1741  CA  ARG H  13      77.187  38.548 -37.822  1.00 15.88           C\nATOM   1742  C   ARG H  13      77.552  37.504 -36.783  1.00 14.07           C\nATOM   1743  O   ARG H  13      78.616  37.589 -36.170  1.00  9.90           O\nATOM   1744  CB  ARG H  13      77.862  38.174 -39.130  1.00 19.67           C\nATOM   1745  CG  ARG H  13      77.476  39.025 -40.325  1.00 27.69           C\nATOM   1746  CD  ARG H  13      78.501  38.840 -41.434  1.00 37.26           C\nATOM   1747  NE  ARG H  13      78.998  37.465 -41.484  1.00 45.97           N\nATOM   1748  CZ  ARG H  13      80.185  37.070 -41.013  1.00 50.74           C\nATOM   1749  NH1 ARG H  13      81.019  37.953 -40.462  1.00 52.66           N\nATOM   1750  NH2 ARG H  13      80.498  35.778 -41.009  1.00 52.44           N\nATOM   1751  N   SER H  14      76.671  36.522 -36.590  1.00 11.72           N\nATOM   1752  CA  SER H  14      76.907  35.441 -35.652  1.00 11.26           C\nATOM   1753  C   SER H  14      78.238  34.743 -35.991  1.00 13.43           C\nATOM   1754  O   SER H  14      78.528  34.504 -37.153  1.00 11.83           O\nATOM   1755  CB  SER H  14      75.759  34.420 -35.722  1.00 14.33           C\nATOM   1756  OG  SER H  14      74.529  35.014 -35.325  1.00 22.73           O\nATOM   1757  N   GLY H  15      78.999  34.383 -34.949  1.00 12.48           N\nATOM   1758  CA  GLY H  15      80.288  33.729 -35.112  1.00 13.82           C\nATOM   1759  C   GLY H  15      81.442  34.702 -35.158  1.00 15.46           C\nATOM   1760  O   GLY H  15      82.603  34.324 -34.996  1.00 17.03           O\nATOM   1761  N   ALA H  16      81.148  35.961 -35.434  1.00 14.24           N\nATOM   1762  CA  ALA H  16      82.202  36.953 -35.491  1.00 14.37           C\nATOM   1763  C   ALA H  16      82.579  37.488 -34.113  1.00 14.57           C\nATOM   1764  O   ALA H  16      82.155  36.980 -33.068  1.00 16.80           O\nATOM   1765  CB  ALA H  16      81.817  38.099 -36.420  1.00 14.15           C\nATOM   1766  N   SER H  17      83.368  38.547 -34.129  1.00 12.76           N\nATOM   1767  CA  SER H  17      83.830  39.179 -32.910  1.00 15.91           C\nATOM   1768  C   SER H  17      83.647  40.675 -33.034  1.00 13.36           C\nATOM   1769  O   SER H  17      83.536  41.205 -34.130  1.00 15.50           O\nATOM   1770  CB  SER H  17      85.314  38.893 -32.706  1.00 17.64           C\nATOM   1771  OG  SER H  17      85.532  37.499 -32.673  1.00 25.56           O\nATOM   1772  N   VAL H  18      83.604  41.354 -31.897  1.00 13.00           N\nATOM   1773  CA  VAL H  18      83.462  42.790 -31.900  1.00 12.21           C\nATOM   1774  C   VAL H  18      84.198  43.355 -30.694  1.00 13.69           C\nATOM   1775  O   VAL H  18      84.251  42.734 -29.634  1.00 10.79           O\nATOM   1776  CB  VAL H  18      81.966  43.217 -31.885  1.00 14.90           C\nATOM   1777  CG1 VAL H  18      81.329  42.948 -30.517  1.00 11.07           C\nATOM   1778  CG2 VAL H  18      81.837  44.662 -32.305  1.00 13.01           C\nATOM   1779  N   LYS H  19      84.799  44.523 -30.867  1.00 14.66           N\nATOM   1780  CA  LYS H  19      85.527  45.142 -29.773  1.00 15.22           C\nATOM   1781  C   LYS H  19      84.954  46.519 -29.442  1.00 12.59           C\nATOM   1782  O   LYS H  19      84.987  47.431 -30.268  1.00  9.90           O\nATOM   1783  CB  LYS H  19      87.007  45.240 -30.126  1.00 18.60           C\nATOM   1784  CG  LYS H  19      87.859  45.691 -28.960  1.00 25.39           C\nATOM   1785  CD  LYS H  19      89.320  45.587 -29.337  1.00 28.37           C\nATOM   1786  CE  LYS H  19      90.216  45.969 -28.179  1.00 30.67           C\nATOM   1787  NZ  LYS H  19      91.629  46.071 -28.648  1.00 33.89           N\nATOM   1788  N   LEU H  20      84.448  46.648 -28.220  1.00  9.38           N\nATOM   1789  CA  LEU H  20      83.821  47.878 -27.719  1.00  9.52           C\nATOM   1790  C   LEU H  20      84.804  48.752 -26.938  1.00 11.35           C\nATOM   1791  O   LEU H  20      85.633  48.251 -26.192  1.00 11.06           O\nATOM   1792  CB  LEU H  20      82.674  47.516 -26.758  1.00  9.38           C\nATOM   1793  CG  LEU H  20      81.327  47.019 -27.309  1.00 11.68           C\nATOM   1794  CD1 LEU H  20      81.481  46.092 -28.472  1.00 15.56           C\nATOM   1795  CD2 LEU H  20      80.572  46.367 -26.189  1.00 11.16           C\nATOM   1796  N   SER H  21      84.643  50.066 -27.036  1.00 10.25           N\nATOM   1797  CA  SER H  21      85.521  50.978 -26.323  1.00 11.52           C\nATOM   1798  C   SER H  21      84.765  51.836 -25.323  1.00 10.61           C\nATOM   1799  O   SER H  21      83.565  52.092 -25.453  1.00 10.48           O\nATOM   1800  CB  SER H  21      86.324  51.839 -27.299  1.00 11.12           C\nATOM   1801  OG  SER H  21      85.501  52.750 -27.994  1.00 17.90           O\nATOM   1802  N   CYS H  22      85.483  52.289 -24.316  1.00  7.35           N\nATOM   1803  CA  CYS H  22      84.899  53.111 -23.263  1.00  7.31           C\nATOM   1804  C   CYS H  22      85.999  54.092 -22.901  1.00  6.74           C\nATOM   1805  O   CYS H  22      87.016  53.705 -22.331  1.00 11.88           O\nATOM   1806  CB  CYS H  22      84.578  52.209 -22.074  1.00  6.37           C\nATOM   1807  SG  CYS H  22      84.101  52.964 -20.503  1.00 10.10           S\nATOM   1808  N   THR H  23      85.810  55.353 -23.256  1.00  6.33           N\nATOM   1809  CA  THR H  23      86.803  56.381 -23.006  1.00  6.93           C\nATOM   1810  C   THR H  23      86.475  57.334 -21.874  1.00  8.71           C\nATOM   1811  O   THR H  23      85.432  57.977 -21.870  1.00 12.09           O\nATOM   1812  CB  THR H  23      87.029  57.173 -24.280  1.00 10.11           C\nATOM   1813  OG1 THR H  23      87.244  56.269 -25.374  1.00 13.76           O\nATOM   1814  CG2 THR H  23      88.256  58.072 -24.142  1.00 13.49           C\nATOM   1815  N   ALA H  24      87.407  57.474 -20.941  1.00  8.96           N\nATOM   1816  CA  ALA H  24      87.238  58.381 -19.819  1.00  6.44           C\nATOM   1817  C   ALA H  24      87.755  59.788 -20.073  1.00 11.70           C\nATOM   1818  O   ALA H  24      88.820  59.985 -20.667  1.00  9.33           O\nATOM   1819  CB  ALA H  24      87.900  57.835 -18.602  1.00  5.91           C\nATOM   1820  N   SER H  25      86.973  60.769 -19.629  1.00 14.67           N\nATOM   1821  CA  SER H  25      87.370  62.161 -19.736  1.00 17.39           C\nATOM   1822  C   SER H  25      87.041  62.818 -18.403  1.00 19.19           C\nATOM   1823  O   SER H  25      86.090  62.426 -17.716  1.00 18.86           O\nATOM   1824  CB  SER H  25      86.639  62.866 -20.869  1.00 17.85           C\nATOM   1825  OG  SER H  25      85.270  63.010 -20.577  1.00 26.91           O\nATOM   1826  N   GLY H  26      87.802  63.848 -18.072  1.00 17.27           N\nATOM   1827  CA  GLY H  26      87.600  64.551 -16.827  1.00 17.18           C\nATOM   1828  C   GLY H  26      88.211  63.831 -15.642  1.00 17.12           C\nATOM   1829  O   GLY H  26      88.151  64.333 -14.527  1.00 18.20           O\nATOM   1830  N   PHE H  27      88.734  62.628 -15.860  1.00 17.70           N\nATOM   1831  CA  PHE H  27      89.356  61.870 -14.781  1.00 18.10           C\nATOM   1832  C   PHE H  27      90.248  60.781 -15.376  1.00 18.75           C\nATOM   1833  O   PHE H  27      90.289  60.609 -16.597  1.00 18.27           O\nATOM   1834  CB  PHE H  27      88.311  61.319 -13.773  1.00 16.32           C\nATOM   1835  CG  PHE H  27      87.607  60.048 -14.205  1.00 18.98           C\nATOM   1836  CD1 PHE H  27      86.658  60.066 -15.219  1.00 20.32           C\nATOM   1837  CD2 PHE H  27      87.887  58.830 -13.580  1.00 22.09           C\nATOM   1838  CE1 PHE H  27      85.995  58.888 -15.607  1.00 18.06           C\nATOM   1839  CE2 PHE H  27      87.234  57.658 -13.961  1.00 18.53           C\nATOM   1840  CZ  PHE H  27      86.289  57.690 -14.979  1.00 17.14           C\nATOM   1841  N   ASN H  28      91.001  60.095 -14.514  1.00 19.85           N\nATOM   1842  CA  ASN H  28      91.925  59.043 -14.934  1.00 17.68           C\nATOM   1843  C   ASN H  28      91.448  57.701 -14.405  1.00 14.82           C\nATOM   1844  O   ASN H  28      91.139  57.574 -13.233  1.00 14.42           O\nATOM   1845  CB  ASN H  28      93.328  59.351 -14.405  1.00 19.66           C\nATOM   1846  CG  ASN H  28      93.920  60.609 -15.027  1.00 22.17           C\nATOM   1847  OD1 ASN H  28      93.856  60.803 -16.238  1.00 21.08           O\nATOM   1848  ND2 ASN H  28      94.493  61.472 -14.194  1.00 21.24           N\nATOM   1849  N   ILE H  29      91.444  56.696 -15.272  1.00 12.85           N\nATOM   1850  CA  ILE H  29      90.978  55.360 -14.900  1.00 10.59           C\nATOM   1851  C   ILE H  29      91.927  54.532 -14.056  1.00 12.76           C\nATOM   1852  O   ILE H  29      91.490  53.584 -13.417  1.00 10.24           O\nATOM   1853  CB  ILE H  29      90.577  54.519 -16.132  1.00  8.82           C\nATOM   1854  CG1 ILE H  29      91.806  54.134 -16.964  1.00  8.67           C\nATOM   1855  CG2 ILE H  29      89.634  55.297 -17.009  1.00  3.46           C\nATOM   1856  CD1 ILE H  29      91.473  53.287 -18.156  1.00  8.86           C\nATOM   1857  N   LYS H  30      93.190  54.936 -13.988  1.00  8.55           N\nATOM   1858  CA  LYS H  30      94.194  54.168 -13.252  1.00  9.61           C\nATOM   1859  C   LYS H  30      93.827  53.694 -11.841  1.00  8.66           C\nATOM   1860  O   LYS H  30      94.041  52.530 -11.495  1.00 12.43           O\nATOM   1861  CB  LYS H  30      95.508  54.943 -13.227  1.00 10.95           C\nATOM   1862  CG  LYS H  30      96.682  54.185 -12.584  1.00 14.95           C\nATOM   1863  CD  LYS H  30      97.960  55.024 -12.765  1.00 18.90           C\nATOM   1864  CE  LYS H  30      98.578  55.452 -11.464  1.00 19.47           C\nATOM   1865  NZ  LYS H  30      99.570  54.437 -11.009  1.00 21.71           N\nATOM   1866  N   ASP H  31      93.224  54.571 -11.050  1.00  6.22           N\nATOM   1867  CA  ASP H  31      92.889  54.196  -9.677  1.00  4.72           C\nATOM   1868  C   ASP H  31      91.455  53.710  -9.494  1.00  7.65           C\nATOM   1869  O   ASP H  31      90.891  53.757  -8.397  1.00  6.90           O\nATOM   1870  CB  ASP H  31      93.239  55.341  -8.728  1.00  9.29           C\nATOM   1871  CG  ASP H  31      94.734  55.627  -8.723  1.00 10.32           C\nATOM   1872  OD1 ASP H  31      95.533  54.659  -8.922  1.00  8.76           O\nATOM   1873  OD2 ASP H  31      95.094  56.795  -8.540  1.00  9.69           O\nATOM   1874  N   TYR H  32      90.902  53.211 -10.592  1.00  4.53           N\nATOM   1875  CA  TYR H  32      89.553  52.670 -10.576  1.00  7.80           C\nATOM   1876  C   TYR H  32      89.592  51.256 -11.092  1.00  4.78           C\nATOM   1877  O   TYR H  32      90.613  50.789 -11.590  1.00  7.32           O\nATOM   1878  CB  TYR H  32      88.663  53.483 -11.523  1.00  4.22           C\nATOM   1879  CG  TYR H  32      88.339  54.863 -11.027  1.00 12.21           C\nATOM   1880  CD1 TYR H  32      89.303  55.868 -11.002  1.00 12.40           C\nATOM   1881  CD2 TYR H  32      87.061  55.154 -10.533  1.00 12.68           C\nATOM   1882  CE1 TYR H  32      89.007  57.121 -10.486  1.00  9.77           C\nATOM   1883  CE2 TYR H  32      86.757  56.398 -10.022  1.00 12.38           C\nATOM   1884  CZ  TYR H  32      87.734  57.378  -9.998  1.00 14.67           C\nATOM   1885  OH  TYR H  32      87.429  58.598  -9.436  1.00 19.22           O\nATOM   1886  N   TYR H  33      88.502  50.537 -10.877  1.00  4.37           N\nATOM   1887  CA  TYR H  33      88.320  49.220 -11.437  1.00  5.10           C\nATOM   1888  C   TYR H  33      87.275  49.543 -12.494  1.00  3.68           C\nATOM   1889  O   TYR H  33      86.326  50.270 -12.220  1.00  4.35           O\nATOM   1890  CB  TYR H  33      87.709  48.251 -10.448  1.00  7.75           C\nATOM   1891  CG  TYR H  33      88.698  47.534  -9.568  1.00 12.41           C\nATOM   1892  CD1 TYR H  33      90.045  47.884  -9.559  1.00 10.53           C\nATOM   1893  CD2 TYR H  33      88.266  46.540  -8.699  1.00 10.00           C\nATOM   1894  CE1 TYR H  33      90.933  47.269  -8.706  1.00  8.47           C\nATOM   1895  CE2 TYR H  33      89.153  45.906  -7.830  1.00 15.49           C\nATOM   1896  CZ  TYR H  33      90.488  46.282  -7.838  1.00 12.55           C\nATOM   1897  OH  TYR H  33      91.347  45.672  -6.955  1.00  9.24           O\nATOM   1898  N   ILE H  34      87.470  49.062 -13.711  1.00  3.89           N\nATOM   1899  CA  ILE H  34      86.513  49.340 -14.773  1.00  3.62           C\nATOM   1900  C   ILE H  34      85.676  48.081 -14.918  1.00  4.19           C\nATOM   1901  O   ILE H  34      86.228  46.990 -15.031  1.00  5.60           O\nATOM   1902  CB  ILE H  34      87.210  49.692 -16.087  1.00  7.29           C\nATOM   1903  CG1 ILE H  34      88.050  50.975 -15.897  1.00  5.37           C\nATOM   1904  CG2 ILE H  34      86.197  49.779 -17.239  1.00  6.54           C\nATOM   1905  CD1 ILE H  34      87.301  52.199 -15.278  1.00  3.91           C\nATOM   1906  N   HIS H  35      84.358  48.190 -14.728  1.00  4.42           N\nATOM   1907  CA  HIS H  35      83.512  46.999 -14.841  1.00  2.79           C\nATOM   1908  C   HIS H  35      82.630  47.080 -16.052  1.00  2.00           C\nATOM   1909  O   HIS H  35      82.297  48.158 -16.518  1.00  4.06           O\nATOM   1910  CB  HIS H  35      82.597  46.836 -13.608  1.00  7.31           C\nATOM   1911  CG  HIS H  35      83.322  46.852 -12.295  1.00  5.99           C\nATOM   1912  ND1 HIS H  35      83.226  45.824 -11.379  1.00  7.79           N\nATOM   1913  CD2 HIS H  35      84.100  47.800 -11.718  1.00  7.18           C\nATOM   1914  CE1 HIS H  35      83.914  46.135 -10.305  1.00  7.50           C\nATOM   1915  NE2 HIS H  35      84.448  47.318 -10.481  1.00  5.11           N\nATOM   1916  N   TRP H  36      82.193  45.929 -16.515  1.00  2.00           N\nATOM   1917  CA  TRP H  36      81.302  45.893 -17.656  1.00  4.20           C\nATOM   1918  C   TRP H  36      80.080  45.113 -17.210  1.00  4.45           C\nATOM   1919  O   TRP H  36      80.195  44.161 -16.432  1.00  3.90           O\nATOM   1920  CB  TRP H  36      81.965  45.190 -18.857  1.00  2.00           C\nATOM   1921  CG  TRP H  36      83.056  46.012 -19.500  1.00  6.43           C\nATOM   1922  CD1 TRP H  36      84.331  46.121 -19.070  1.00  7.47           C\nATOM   1923  CD2 TRP H  36      82.945  46.857 -20.676  1.00  4.57           C\nATOM   1924  NE1 TRP H  36      85.034  46.981 -19.888  1.00  7.69           N\nATOM   1925  CE2 TRP H  36      84.208  47.432 -20.880  1.00  5.04           C\nATOM   1926  CE3 TRP H  36      81.909  47.157 -21.574  1.00  6.66           C\nATOM   1927  CZ2 TRP H  36      84.468  48.317 -21.924  1.00  5.91           C\nATOM   1928  CZ3 TRP H  36      82.164  48.043 -22.625  1.00  6.08           C\nATOM   1929  CH2 TRP H  36      83.439  48.598 -22.792  1.00  6.65           C\nATOM   1930  N   VAL H  37      78.907  45.581 -17.616  1.00 10.64           N\nATOM   1931  CA  VAL H  37      77.659  44.892 -17.265  1.00  9.38           C\nATOM   1932  C   VAL H  37      76.746  44.859 -18.501  1.00 11.06           C\nATOM   1933  O   VAL H  37      76.659  45.817 -19.264  1.00 11.08           O\nATOM   1934  CB  VAL H  37      76.963  45.483 -15.981  1.00 12.99           C\nATOM   1935  CG1 VAL H  37      77.831  46.505 -15.307  1.00  9.45           C\nATOM   1936  CG2 VAL H  37      75.600  46.031 -16.301  1.00 12.71           C\nATOM   1937  N   LYS H  38      76.114  43.711 -18.705  1.00 14.17           N\nATOM   1938  CA  LYS H  38      75.253  43.462 -19.858  1.00 13.07           C\nATOM   1939  C   LYS H  38      73.779  43.619 -19.521  1.00 11.94           C\nATOM   1940  O   LYS H  38      73.353  43.289 -18.412  1.00 10.05           O\nATOM   1941  CB  LYS H  38      75.534  42.023 -20.339  1.00 13.76           C\nATOM   1942  CG  LYS H  38      74.721  41.518 -21.490  1.00 14.11           C\nATOM   1943  CD  LYS H  38      75.009  40.048 -21.718  1.00 17.06           C\nATOM   1944  CE  LYS H  38      74.129  39.504 -22.835  1.00 18.26           C\nATOM   1945  NZ  LYS H  38      74.168  38.031 -22.983  1.00 21.37           N\nATOM   1946  N   GLN H  39      73.001  44.123 -20.471  1.00 10.91           N\nATOM   1947  CA  GLN H  39      71.569  44.263 -20.259  1.00 13.98           C\nATOM   1948  C   GLN H  39      70.802  43.769 -21.472  1.00 15.62           C\nATOM   1949  O   GLN H  39      70.793  44.407 -22.529  1.00 14.20           O\nATOM   1950  CB  GLN H  39      71.163  45.695 -19.932  1.00 13.38           C\nATOM   1951  CG  GLN H  39      69.653  45.830 -19.718  1.00 18.27           C\nATOM   1952  CD  GLN H  39      69.272  47.087 -18.941  1.00 18.56           C\nATOM   1953  OE1 GLN H  39      69.737  48.195 -19.228  1.00 23.01           O\nATOM   1954  NE2 GLN H  39      68.417  46.917 -17.951  1.00 24.57           N\nATOM   1955  N   ARG H  40      70.184  42.608 -21.322  1.00 15.95           N\nATOM   1956  CA  ARG H  40      69.411  42.028 -22.397  1.00 20.54           C\nATOM   1957  C   ARG H  40      68.032  42.645 -22.404  1.00 21.79           C\nATOM   1958  O   ARG H  40      67.517  43.076 -21.352  1.00 20.95           O\nATOM   1959  CB  ARG H  40      69.272  40.526 -22.217  1.00 25.36           C\nATOM   1960  CG  ARG H  40      70.565  39.781 -22.086  1.00 32.40           C\nATOM   1961  CD  ARG H  40      70.333  38.603 -21.165  1.00 40.89           C\nATOM   1962  NE  ARG H  40      70.636  37.304 -21.760  1.00 48.72           N\nATOM   1963  CZ  ARG H  40      70.093  36.820 -22.879  1.00 51.85           C\nATOM   1964  NH1 ARG H  40      69.205  37.529 -23.575  1.00 51.37           N\nATOM   1965  NH2 ARG H  40      70.383  35.585 -23.264  1.00 53.84           N\nATOM   1966  N   PRO H  41      67.419  42.703 -23.607  1.00 22.77           N\nATOM   1967  CA  PRO H  41      66.070  43.234 -23.813  1.00 24.30           C\nATOM   1968  C   PRO H  41      65.132  42.512 -22.851  1.00 24.41           C\nATOM   1969  O   PRO H  41      65.195  41.280 -22.721  1.00 26.06           O\nATOM   1970  CB  PRO H  41      65.785  42.853 -25.271  1.00 26.02           C\nATOM   1971  CG  PRO H  41      67.149  42.883 -25.904  1.00 20.53           C\nATOM   1972  CD  PRO H  41      67.964  42.168 -24.874  1.00 21.68           C\nATOM   1973  N   GLU H  42      64.338  43.294 -22.127  1.00 25.79           N\nATOM   1974  CA  GLU H  42      63.361  42.785 -21.158  1.00 26.75           C\nATOM   1975  C   GLU H  42      64.015  42.029 -20.012  1.00 26.36           C\nATOM   1976  O   GLU H  42      63.397  41.143 -19.420  1.00 29.25           O\nATOM   1977  CB  GLU H  42      62.335  41.867 -21.844  1.00 30.68           C\nATOM   1978  CG  GLU H  42      61.848  42.323 -23.221  1.00 32.01           C\nATOM   1979  CD  GLU H  42      61.335  43.751 -23.244  1.00 34.91           C\nATOM   1980  OE1 GLU H  42      61.017  44.326 -22.179  1.00 38.41           O\nATOM   1981  OE2 GLU H  42      61.248  44.307 -24.353  1.00 42.42           O\nATOM   1982  N   LYS H  43      65.273  42.347 -19.711  1.00 24.23           N\nATOM   1983  CA  LYS H  43      65.971  41.652 -18.631  1.00 20.56           C\nATOM   1984  C   LYS H  43      66.836  42.578 -17.814  1.00 17.70           C\nATOM   1985  O   LYS H  43      67.159  43.691 -18.258  1.00 17.69           O\nATOM   1986  CB  LYS H  43      66.809  40.483 -19.175  1.00 21.35           C\nATOM   1987  CG  LYS H  43      65.971  39.407 -19.853  1.00 25.10           C\nATOM   1988  CD  LYS H  43      66.740  38.110 -20.037  1.00 31.59           C\nATOM   1989  CE  LYS H  43      65.915  37.086 -20.832  1.00 31.94           C\nATOM   1990  NZ  LYS H  43      64.491  37.003 -20.391  1.00 33.30           N\nATOM   1991  N   GLY H  44      67.181  42.128 -16.607  1.00 17.54           N\nATOM   1992  CA  GLY H  44      68.009  42.935 -15.730  1.00 14.46           C\nATOM   1993  C   GLY H  44      69.491  42.917 -16.055  1.00 12.44           C\nATOM   1994  O   GLY H  44      69.980  42.057 -16.786  1.00 11.71           O\nATOM   1995  N   LEU H  45      70.201  43.893 -15.500  1.00 14.17           N\nATOM   1996  CA  LEU H  45      71.634  44.011 -15.689  1.00 10.34           C\nATOM   1997  C   LEU H  45      72.372  42.840 -15.090  1.00 11.65           C\nATOM   1998  O   LEU H  45      72.013  42.372 -14.015  1.00 11.88           O\nATOM   1999  CB  LEU H  45      72.114  45.287 -15.015  1.00 10.95           C\nATOM   2000  CG  LEU H  45      71.586  46.591 -15.611  1.00  8.08           C\nATOM   2001  CD1 LEU H  45      71.984  47.729 -14.713  1.00 10.38           C\nATOM   2002  CD2 LEU H  45      72.183  46.824 -17.001  1.00 10.79           C\nATOM   2003  N   GLU H  46      73.357  42.314 -15.823  1.00 15.00           N\nATOM   2004  CA  GLU H  46      74.204  41.224 -15.320  1.00 14.94           C\nATOM   2005  C   GLU H  46      75.676  41.607 -15.453  1.00 13.16           C\nATOM   2006  O   GLU H  46      76.130  42.064 -16.502  1.00  7.81           O\nATOM   2007  CB  GLU H  46      73.893  39.853 -15.968  1.00 22.02           C\nATOM   2008  CG  GLU H  46      73.926  39.778 -17.481  1.00 30.91           C\nATOM   2009  CD  GLU H  46      73.367  38.448 -17.994  1.00 34.79           C\nATOM   2010  OE1 GLU H  46      74.010  37.391 -17.780  1.00 35.82           O\nATOM   2011  OE2 GLU H  46      72.272  38.475 -18.601  1.00 33.13           O\nATOM   2012  N   TRP H  47      76.380  41.512 -14.337  1.00  8.62           N\nATOM   2013  CA  TRP H  47      77.788  41.860 -14.250  1.00 10.84           C\nATOM   2014  C   TRP H  47      78.645  40.880 -15.057  1.00 10.28           C\nATOM   2015  O   TRP H  47      78.408  39.676 -15.024  1.00 13.06           O\nATOM   2016  CB  TRP H  47      78.158  41.871 -12.760  1.00 10.91           C\nATOM   2017  CG  TRP H  47      79.521  42.318 -12.403  1.00  9.62           C\nATOM   2018  CD1 TRP H  47      80.027  43.590 -12.482  1.00  9.55           C\nATOM   2019  CD2 TRP H  47      80.542  41.517 -11.801  1.00 14.97           C\nATOM   2020  NE1 TRP H  47      81.300  43.621 -11.962  1.00 15.46           N\nATOM   2021  CE2 TRP H  47      81.641  42.364 -11.533  1.00 16.86           C\nATOM   2022  CE3 TRP H  47      80.636  40.155 -11.458  1.00 16.64           C\nATOM   2023  CZ2 TRP H  47      82.819  41.897 -10.928  1.00 19.65           C\nATOM   2024  CZ3 TRP H  47      81.814  39.693 -10.855  1.00 16.91           C\nATOM   2025  CH2 TRP H  47      82.885  40.566 -10.599  1.00 19.83           C\nATOM   2026  N   ILE H  48      79.618  41.407 -15.803  1.00  8.76           N\nATOM   2027  CA  ILE H  48      80.503  40.570 -16.617  1.00  9.48           C\nATOM   2028  C   ILE H  48      81.845  40.359 -15.905  1.00  8.11           C\nATOM   2029  O   ILE H  48      82.399  39.270 -15.951  1.00 11.34           O\nATOM   2030  CB  ILE H  48      80.764  41.206 -18.007  1.00  6.25           C\nATOM   2031  CG1 ILE H  48      79.453  41.392 -18.758  1.00  5.19           C\nATOM   2032  CG2 ILE H  48      81.681  40.325 -18.817  1.00  7.46           C\nATOM   2033  CD1 ILE H  48      79.574  42.154 -20.104  1.00  2.00           C\nATOM   2034  N   GLY H  49      82.378  41.431 -15.318  1.00  8.33           N\nATOM   2035  CA  GLY H  49      83.635  41.370 -14.588  1.00 10.18           C\nATOM   2036  C   GLY H  49      84.304  42.732 -14.569  1.00 11.79           C\nATOM   2037  O   GLY H  49      83.689  43.727 -14.937  1.00 12.29           O\nATOM   2038  N   TRP H  50      85.557  42.785 -14.111  1.00 14.67           N\nATOM   2039  CA  TRP H  50      86.291  44.052 -14.041  1.00 12.11           C\nATOM   2040  C   TRP H  50      87.741  43.892 -14.451  1.00  9.64           C\nATOM   2041  O   TRP H  50      88.239  42.778 -14.547  1.00  7.38           O\nATOM   2042  CB  TRP H  50      86.258  44.623 -12.622  1.00 17.29           C\nATOM   2043  CG  TRP H  50      86.831  43.713 -11.541  1.00 24.27           C\nATOM   2044  CD1 TRP H  50      86.125  42.885 -10.728  1.00 27.65           C\nATOM   2045  CD2 TRP H  50      88.208  43.598 -11.132  1.00 26.36           C\nATOM   2046  NE1 TRP H  50      86.960  42.257  -9.833  1.00 28.75           N\nATOM   2047  CE2 TRP H  50      88.239  42.667 -10.059  1.00 27.70           C\nATOM   2048  CE3 TRP H  50      89.408  44.173 -11.554  1.00 30.41           C\nATOM   2049  CZ2 TRP H  50      89.426  42.313  -9.406  1.00 27.48           C\nATOM   2050  CZ3 TRP H  50      90.595  43.817 -10.901  1.00 31.88           C\nATOM   2051  CH2 TRP H  50      90.590  42.890  -9.845  1.00 31.26           C\nATOM   2052  N   ILE H  51      88.404  45.019 -14.681  1.00 10.05           N\nATOM   2053  CA  ILE H  51      89.828  45.047 -15.036  1.00  9.19           C\nATOM   2054  C   ILE H  51      90.427  46.147 -14.169  1.00  8.46           C\nATOM   2055  O   ILE H  51      89.747  47.109 -13.847  1.00  8.88           O\nATOM   2056  CB  ILE H  51      90.071  45.392 -16.542  1.00  7.29           C\nATOM   2057  CG1 ILE H  51      91.568  45.406 -16.844  1.00  6.62           C\nATOM   2058  CG2 ILE H  51      89.490  46.764 -16.899  1.00  9.00           C\nATOM   2059  CD1 ILE H  51      91.863  45.395 -18.290  1.00 10.25           C\nATOM   2060  N   ASP H  52      91.671  45.964 -13.730  1.00  9.32           N\nATOM   2061  CA  ASP H  52      92.363  46.972 -12.921  1.00  8.13           C\nATOM   2062  C   ASP H  52      93.365  47.588 -13.885  1.00 11.43           C\nATOM   2063  O   ASP H  52      94.392  46.974 -14.160  1.00 13.62           O\nATOM   2064  CB  ASP H  52      93.096  46.303 -11.744  1.00  9.46           C\nATOM   2065  CG  ASP H  52      93.977  47.276 -10.960  1.00  6.10           C\nATOM   2066  OD1 ASP H  52      94.210  48.405 -11.428  1.00 13.49           O\nATOM   2067  OD2 ASP H  52      94.431  46.915  -9.848  1.00  9.55           O\nATOM   2068  N   PRO H  52A     93.045  48.767 -14.469  1.00 11.78           N\nATOM   2069  CA  PRO H  52A     93.794  49.270 -15.635  1.00 12.87           C\nATOM   2070  C   PRO H  52A     95.243  49.540 -15.263  1.00 13.22           C\nATOM   2071  O   PRO H  52A     96.101  49.694 -16.127  1.00 16.99           O\nATOM   2072  CB  PRO H  52A     93.082  50.597 -15.937  1.00 12.24           C\nATOM   2073  CG  PRO H  52A     91.715  50.382 -15.432  1.00 12.29           C\nATOM   2074  CD  PRO H  52A     91.936  49.665 -14.129  1.00  7.68           C\nATOM   2075  N   GLU H  53      95.506  49.585 -13.964  1.00 13.41           N\nATOM   2076  CA  GLU H  53      96.840  49.860 -13.476  1.00 12.53           C\nATOM   2077  C   GLU H  53      97.780  48.695 -13.672  1.00 13.64           C\nATOM   2078  O   GLU H  53      98.947  48.878 -14.021  1.00 12.08           O\nATOM   2079  CB  GLU H  53      96.801  50.262 -12.000  1.00 13.46           C\nATOM   2080  CG  GLU H  53      98.190  50.550 -11.402  1.00 15.27           C\nATOM   2081  CD  GLU H  53      98.149  50.924  -9.934  1.00 17.59           C\nATOM   2082  OE1 GLU H  53      97.050  51.191  -9.414  1.00 16.23           O\nATOM   2083  OE2 GLU H  53      99.219  50.997  -9.304  1.00 15.96           O\nATOM   2084  N   ILE H  54      97.273  47.485 -13.452  1.00 13.36           N\nATOM   2085  CA  ILE H  54      98.124  46.309 -13.584  1.00 11.72           C\nATOM   2086  C   ILE H  54      97.679  45.377 -14.674  1.00 12.49           C\nATOM   2087  O   ILE H  54      98.386  44.453 -15.061  1.00  8.65           O\nATOM   2088  CB  ILE H  54      98.224  45.534 -12.251  1.00 10.06           C\nATOM   2089  CG1 ILE H  54      96.866  44.999 -11.819  1.00 10.09           C\nATOM   2090  CG2 ILE H  54      98.815  46.445 -11.188  1.00 10.26           C\nATOM   2091  CD1 ILE H  54      96.937  44.215 -10.532  1.00  5.77           C\nATOM   2092  N   GLY H  55      96.507  45.647 -15.212  1.00  8.87           N\nATOM   2093  CA  GLY H  55      96.017  44.778 -16.251  1.00  8.86           C\nATOM   2094  C   GLY H  55      95.267  43.561 -15.743  1.00 14.61           C\nATOM   2095  O   GLY H  55      94.742  42.801 -16.549  1.00 12.32           O\nATOM   2096  N   ASP H  56      95.235  43.348 -14.431  1.00 19.34           N\nATOM   2097  CA  ASP H  56      94.506  42.224 -13.846  1.00 21.49           C\nATOM   2098  C   ASP H  56      93.005  42.311 -14.167  1.00 20.75           C\nATOM   2099  O   ASP H  56      92.380  43.364 -14.057  1.00 19.60           O\nATOM   2100  CB  ASP H  56      94.665  42.226 -12.317  1.00 25.51           C\nATOM   2101  CG  ASP H  56      95.930  41.518 -11.851  1.00 33.71           C\nATOM   2102  OD1 ASP H  56      96.732  41.064 -12.712  1.00 24.56           O\nATOM   2103  OD2 ASP H  56      96.114  41.414 -10.606  1.00 37.92           O\nATOM   2104  N   THR H  57      92.431  41.186 -14.556  1.00 21.36           N\nATOM   2105  CA  THR H  57      91.012  41.109 -14.891  1.00 21.95           C\nATOM   2106  C   THR H  57      90.361  39.954 -14.133  1.00 23.20           C\nATOM   2107  O   THR H  57      91.025  38.994 -13.727  1.00 23.20           O\nATOM   2108  CB  THR H  57      90.778  40.818 -16.401  1.00 16.98           C\nATOM   2109  OG1 THR H  57      91.245  39.504 -16.709  1.00 15.56           O\nATOM   2110  CG2 THR H  57      91.515  41.810 -17.275  1.00 14.25           C\nATOM   2111  N   GLU H  58      89.057  40.059 -13.940  1.00 25.39           N\nATOM   2112  CA  GLU H  58      88.308  39.000 -13.278  1.00 26.45           C\nATOM   2113  C   GLU H  58      86.980  38.853 -14.009  1.00 25.04           C\nATOM   2114  O   GLU H  58      86.222  39.817 -14.135  1.00 23.55           O\nATOM   2115  CB  GLU H  58      88.045  39.320 -11.803  1.00 29.62           C\nATOM   2116  CG  GLU H  58      87.554  38.102 -11.038  1.00 34.77           C\nATOM   2117  CD  GLU H  58      86.832  38.452  -9.758  1.00 37.55           C\nATOM   2118  OE1 GLU H  58      86.701  39.657  -9.453  1.00 38.79           O\nATOM   2119  OE2 GLU H  58      86.374  37.512  -9.065  1.00 40.82           O\nATOM   2120  N   TYR H  59      86.721  37.653 -14.518  1.00 22.18           N\nATOM   2121  CA  TYR H  59      85.479  37.380 -15.239  1.00 23.03           C\nATOM   2122  C   TYR H  59      84.562  36.437 -14.462  1.00 24.06           C\nATOM   2123  O   TYR H  59      85.025  35.572 -13.722  1.00 23.59           O\nATOM   2124  CB  TYR H  59      85.775  36.720 -16.574  1.00 23.16           C\nATOM   2125  CG  TYR H  59      86.724  37.484 -17.445  1.00 26.29           C\nATOM   2126  CD1 TYR H  59      86.278  38.557 -18.198  1.00 24.16           C\nATOM   2127  CD2 TYR H  59      88.080  37.164 -17.483  1.00 27.38           C\nATOM   2128  CE1 TYR H  59      87.154  39.298 -18.971  1.00 27.92           C\nATOM   2129  CE2 TYR H  59      88.973  37.907 -18.259  1.00 27.98           C\nATOM   2130  CZ  TYR H  59      88.499  38.971 -18.997  1.00 26.64           C\nATOM   2131  OH  TYR H  59      89.366  39.723 -19.752  1.00 29.31           O\nATOM   2132  N   VAL H  60      83.261  36.616 -14.627  1.00 22.38           N\nATOM   2133  CA  VAL H  60      82.301  35.730 -13.974  1.00 22.86           C\nATOM   2134  C   VAL H  60      82.232  34.513 -14.935  1.00 23.34           C\nATOM   2135  O   VAL H  60      82.402  34.693 -16.142  1.00 20.98           O\nATOM   2136  CB  VAL H  60      80.895  36.404 -13.854  1.00 23.35           C\nATOM   2137  CG1 VAL H  60      80.244  36.523 -15.203  1.00 17.78           C\nATOM   2138  CG2 VAL H  60      80.012  35.623 -12.937  1.00 26.41           C\nATOM   2139  N   PRO H  61      81.937  33.283 -14.434  1.00 23.79           N\nATOM   2140  CA  PRO H  61      82.120  32.050 -15.225  1.00 22.40           C\nATOM   2141  C   PRO H  61      81.364  31.961 -16.547  1.00 25.08           C\nATOM   2142  O   PRO H  61      81.825  31.307 -17.496  1.00 26.18           O\nATOM   2143  CB  PRO H  61      81.633  30.966 -14.274  1.00 21.97           C\nATOM   2144  CG  PRO H  61      81.996  31.517 -12.937  1.00 19.30           C\nATOM   2145  CD  PRO H  61      81.550  32.939 -13.050  1.00 21.31           C\nATOM   2146  N   LYS H  62      80.225  32.642 -16.615  1.00 25.84           N\nATOM   2147  CA  LYS H  62      79.373  32.635 -17.804  1.00 27.31           C\nATOM   2148  C   LYS H  62      80.027  33.351 -19.002  1.00 28.77           C\nATOM   2149  O   LYS H  62      79.645  33.127 -20.167  1.00 27.93           O\nATOM   2150  CB  LYS H  62      78.032  33.301 -17.447  1.00 29.22           C\nATOM   2151  CG  LYS H  62      76.958  33.329 -18.533  1.00 33.05           C\nATOM   2152  CD  LYS H  62      75.669  33.928 -17.956  1.00 33.76           C\nATOM   2153  CE  LYS H  62      74.559  34.087 -19.003  1.00 35.24           C\nATOM   2154  NZ  LYS H  62      73.285  34.659 -18.424  1.00 29.61           N\nATOM   2155  N   PHE H  63      81.027  34.186 -18.718  1.00 26.26           N\nATOM   2156  CA  PHE H  63      81.695  34.935 -19.776  1.00 26.77           C\nATOM   2157  C   PHE H  63      83.144  34.568 -20.033  1.00 25.85           C\nATOM   2158  O   PHE H  63      83.848  35.302 -20.720  1.00 26.58           O\nATOM   2159  CB  PHE H  63      81.570  36.430 -19.531  1.00 26.67           C\nATOM   2160  CG  PHE H  63      80.154  36.919 -19.518  1.00 27.00           C\nATOM   2161  CD1 PHE H  63      79.477  37.169 -20.708  1.00 28.33           C\nATOM   2162  CD2 PHE H  63      79.503  37.155 -18.317  1.00 27.45           C\nATOM   2163  CE1 PHE H  63      78.173  37.661 -20.703  1.00 27.08           C\nATOM   2164  CE2 PHE H  63      78.190  37.650 -18.294  1.00 30.05           C\nATOM   2165  CZ  PHE H  63      77.524  37.902 -19.492  1.00 28.82           C\nATOM   2166  N   GLN H  64      83.593  33.439 -19.491  1.00 25.91           N\nATOM   2167  CA  GLN H  64      84.973  32.982 -19.720  1.00 25.30           C\nATOM   2168  C   GLN H  64      85.114  32.530 -21.163  1.00 20.91           C\nATOM   2169  O   GLN H  64      84.423  31.616 -21.603  1.00 20.12           O\nATOM   2170  CB  GLN H  64      85.338  31.801 -18.802  1.00 28.18           C\nATOM   2171  CG  GLN H  64      86.292  32.151 -17.660  1.00 32.61           C\nATOM   2172  CD  GLN H  64      85.589  32.846 -16.518  1.00 33.82           C\nATOM   2173  OE1 GLN H  64      85.727  32.459 -15.356  1.00 30.79           O\nATOM   2174  NE2 GLN H  64      84.827  33.885 -16.841  1.00 37.47           N\nATOM   2175  N   GLY H  65      85.998  33.180 -21.901  1.00 18.59           N\nATOM   2176  CA  GLY H  65      86.204  32.815 -23.291  1.00 20.38           C\nATOM   2177  C   GLY H  65      85.226  33.512 -24.210  1.00 20.57           C\nATOM   2178  O   GLY H  65      85.243  33.310 -25.429  1.00 22.14           O\nATOM   2179  N   LYS H  66      84.358  34.316 -23.610  1.00 19.26           N\nATOM   2180  CA  LYS H  66      83.366  35.083 -24.353  1.00 18.91           C\nATOM   2181  C   LYS H  66      83.857  36.530 -24.399  1.00 19.18           C\nATOM   2182  O   LYS H  66      84.001  37.124 -25.474  1.00 18.22           O\nATOM   2183  CB  LYS H  66      81.997  35.000 -23.647  1.00 20.23           C\nATOM   2184  CG  LYS H  66      80.940  35.968 -24.185  1.00 19.36           C\nATOM   2185  CD  LYS H  66      80.587  35.660 -25.631  1.00 16.77           C\nATOM   2186  CE  LYS H  66      79.830  34.364 -25.751  1.00 15.11           C\nATOM   2187  NZ  LYS H  66      79.508  34.127 -27.169  1.00 14.71           N\nATOM   2188  N   ALA H  67      84.202  37.054 -23.230  1.00 17.07           N\nATOM   2189  CA  ALA H  67      84.666  38.431 -23.107  1.00 18.41           C\nATOM   2190  C   ALA H  67      86.129  38.555 -22.724  1.00 16.90           C\nATOM   2191  O   ALA H  67      86.673  37.738 -21.979  1.00 20.02           O\nATOM   2192  CB  ALA H  67      83.813  39.186 -22.100  1.00 20.20           C\nATOM   2193  N   THR H  68      86.767  39.584 -23.265  1.00 15.27           N\nATOM   2194  CA  THR H  68      88.159  39.868 -22.974  1.00 13.34           C\nATOM   2195  C   THR H  68      88.288  41.362 -22.737  1.00  8.38           C\nATOM   2196  O   THR H  68      88.017  42.159 -23.621  1.00  4.97           O\nATOM   2197  CB  THR H  68      89.084  39.448 -24.140  1.00 17.66           C\nATOM   2198  OG1 THR H  68      88.975  38.036 -24.348  1.00 19.02           O\nATOM   2199  CG2 THR H  68      90.522  39.779 -23.816  1.00 15.58           C\nATOM   2200  N   MET H  69      88.647  41.743 -21.516  1.00  4.86           N\nATOM   2201  CA  MET H  69      88.796  43.147 -21.191  1.00  6.97           C\nATOM   2202  C   MET H  69      90.252  43.549 -21.185  1.00  6.43           C\nATOM   2203  O   MET H  69      91.110  42.800 -20.708  1.00  9.94           O\nATOM   2204  CB  MET H  69      88.232  43.450 -19.810  1.00 11.88           C\nATOM   2205  CG  MET H  69      86.792  43.064 -19.634  1.00 11.95           C\nATOM   2206  SD  MET H  69      86.339  43.146 -17.917  1.00 13.89           S\nATOM   2207  CE  MET H  69      84.691  42.341 -18.005  1.00 12.23           C\nATOM   2208  N   THR H  70      90.506  44.735 -21.722  1.00  9.68           N\nATOM   2209  CA  THR H  70      91.840  45.332 -21.760  1.00 11.15           C\nATOM   2210  C   THR H  70      91.651  46.795 -21.419  1.00 10.59           C\nATOM   2211  O   THR H  70      90.540  47.315 -21.408  1.00  8.52           O\nATOM   2212  CB  THR H  70      92.514  45.222 -23.149  1.00  8.85           C\nATOM   2213  OG1 THR H  70      91.688  45.825 -24.137  1.00 11.70           O\nATOM   2214  CG2 THR H  70      92.788  43.769 -23.500  1.00 10.46           C\nATOM   2215  N   ALA H  71      92.744  47.459 -21.095  1.00 12.89           N\nATOM   2216  CA  ALA H  71      92.698  48.861 -20.749  1.00 11.22           C\nATOM   2217  C   ALA H  71      94.035  49.506 -21.082  1.00 13.41           C\nATOM   2218  O   ALA H  71      95.031  48.827 -21.349  1.00 14.41           O\nATOM   2219  CB  ALA H  71      92.385  49.030 -19.268  1.00 11.39           C\nATOM   2220  N   ASP H  72      94.040  50.826 -21.097  1.00 13.16           N\nATOM   2221  CA  ASP H  72      95.233  51.582 -21.387  1.00 13.60           C\nATOM   2222  C   ASP H  72      95.102  52.902 -20.655  1.00 14.56           C\nATOM   2223  O   ASP H  72      94.267  53.729 -21.014  1.00 17.38           O\nATOM   2224  CB  ASP H  72      95.351  51.817 -22.883  1.00 15.69           C\nATOM   2225  CG  ASP H  72      96.541  52.645 -23.233  1.00 20.38           C\nATOM   2226  OD1 ASP H  72      97.673  52.130 -23.133  1.00 22.27           O\nATOM   2227  OD2 ASP H  72      96.352  53.822 -23.572  1.00 20.87           O\nATOM   2228  N   THR H  73      95.866  53.084 -19.583  1.00 16.31           N\nATOM   2229  CA  THR H  73      95.777  54.297 -18.788  1.00 16.23           C\nATOM   2230  C   THR H  73      96.264  55.577 -19.441  1.00 18.20           C\nATOM   2231  O   THR H  73      95.816  56.659 -19.061  1.00 22.86           O\nATOM   2232  CB  THR H  73      96.439  54.142 -17.395  1.00 17.57           C\nATOM   2233  OG1 THR H  73      97.808  53.744 -17.549  1.00 19.20           O\nATOM   2234  CG2 THR H  73      95.694  53.111 -16.558  1.00 13.41           C\nATOM   2235  N   SER H  74      97.169  55.496 -20.408  1.00 17.13           N\nATOM   2236  CA  SER H  74      97.613  56.737 -21.058  1.00 19.22           C\nATOM   2237  C   SER H  74      96.559  57.351 -21.958  1.00 19.58           C\nATOM   2238  O   SER H  74      96.477  58.574 -22.055  1.00 21.69           O\nATOM   2239  CB  SER H  74      98.934  56.578 -21.820  1.00 20.11           C\nATOM   2240  OG  SER H  74     100.040  56.670 -20.928  1.00 17.41           O\nATOM   2241  N   SER H  75      95.740  56.526 -22.607  1.00 16.77           N\nATOM   2242  CA  SER H  75      94.697  57.079 -23.465  1.00 18.85           C\nATOM   2243  C   SER H  75      93.368  57.078 -22.710  1.00 18.48           C\nATOM   2244  O   SER H  75      92.346  57.518 -23.222  1.00 21.48           O\nATOM   2245  CB  SER H  75      94.559  56.285 -24.765  1.00 17.96           C\nATOM   2246  OG  SER H  75      94.022  54.997 -24.529  1.00 20.00           O\nATOM   2247  N   ASN H  76      93.398  56.574 -21.485  1.00 18.68           N\nATOM   2248  CA  ASN H  76      92.206  56.477 -20.645  1.00 14.07           C\nATOM   2249  C   ASN H  76      91.072  55.737 -21.340  1.00 15.02           C\nATOM   2250  O   ASN H  76      89.943  56.215 -21.355  1.00 12.89           O\nATOM   2251  CB  ASN H  76      91.717  57.862 -20.251  1.00 14.61           C\nATOM   2252  CG  ASN H  76      92.216  58.286 -18.894  1.00 17.93           C\nATOM   2253  OD1 ASN H  76      92.297  57.476 -17.969  1.00 19.22           O\nATOM   2254  ND2 ASN H  76      92.556  59.566 -18.758  1.00 15.27           N\nATOM   2255  N   THR H  77      91.369  54.583 -21.930  1.00 14.38           N\nATOM   2256  CA  THR H  77      90.343  53.809 -22.628  1.00 15.51           C\nATOM   2257  C   THR H  77      90.373  52.341 -22.242  1.00 14.66           C\nATOM   2258  O   THR H  77      91.441  51.726 -22.146  1.00 16.69           O\nATOM   2259  CB  THR H  77      90.488  53.936 -24.168  1.00 15.65           C\nATOM   2260  OG1 THR H  77      90.484  55.322 -24.534  1.00 20.83           O\nATOM   2261  CG2 THR H  77      89.344  53.259 -24.885  1.00 20.55           C\nATOM   2262  N   ALA H  78      89.180  51.788 -22.017  1.00 12.24           N\nATOM   2263  CA  ALA H  78      89.024  50.383 -21.659  1.00 10.81           C\nATOM   2264  C   ALA H  78      88.250  49.756 -22.804  1.00 11.67           C\nATOM   2265  O   ALA H  78      87.415  50.432 -23.427  1.00 10.45           O\nATOM   2266  CB  ALA H  78      88.271  50.238 -20.337  1.00  7.05           C\nATOM   2267  N   TYR H  79      88.559  48.493 -23.101  1.00 12.43           N\nATOM   2268  CA  TYR H  79      87.947  47.746 -24.191  1.00  9.82           C\nATOM   2269  C   TYR H  79      87.330  46.433 -23.754  1.00  9.76           C\nATOM   2270  O   TYR H  79      87.827  45.779 -22.834  1.00  8.39           O\nATOM   2271  CB  TYR H  79      89.001  47.423 -25.271  1.00 13.92           C\nATOM   2272  CG  TYR H  79      89.674  48.636 -25.848  1.00 13.63           C\nATOM   2273  CD1 TYR H  79      89.122  49.303 -26.939  1.00 10.54           C\nATOM   2274  CD2 TYR H  79      90.840  49.142 -25.273  1.00 11.82           C\nATOM   2275  CE1 TYR H  79      89.702  50.446 -27.431  1.00  6.86           C\nATOM   2276  CE2 TYR H  79      91.427  50.288 -25.761  1.00  9.03           C\nATOM   2277  CZ  TYR H  79      90.851  50.933 -26.838  1.00  9.32           C\nATOM   2278  OH  TYR H  79      91.406  52.100 -27.302  1.00 11.43           O\nATOM   2279  N   LEU H  80      86.269  46.039 -24.462  1.00  9.80           N\nATOM   2280  CA  LEU H  80      85.579  44.772 -24.230  1.00  9.13           C\nATOM   2281  C   LEU H  80      85.487  44.048 -25.565  1.00 10.95           C\nATOM   2282  O   LEU H  80      84.897  44.555 -26.514  1.00  7.44           O\nATOM   2283  CB  LEU H  80      84.156  44.991 -23.699  1.00 11.41           C\nATOM   2284  CG  LEU H  80      83.362  43.712 -23.466  1.00  9.55           C\nATOM   2285  CD1 LEU H  80      84.093  42.833 -22.480  1.00  6.72           C\nATOM   2286  CD2 LEU H  80      81.955  44.016 -22.948  1.00  9.82           C\nATOM   2287  N   GLN H  81      86.162  42.916 -25.660  1.00 10.95           N\nATOM   2288  CA  GLN H  81      86.139  42.103 -26.867  1.00 13.82           C\nATOM   2289  C   GLN H  81      85.190  40.947 -26.657  1.00  9.83           C\nATOM   2290  O   GLN H  81      85.305  40.221 -25.666  1.00  9.77           O\nATOM   2291  CB  GLN H  81      87.493  41.479 -27.136  1.00 18.42           C\nATOM   2292  CG  GLN H  81      88.581  42.430 -27.437  1.00 28.09           C\nATOM   2293  CD  GLN H  81      89.853  41.697 -27.797  1.00 34.04           C\nATOM   2294  OE1 GLN H  81      90.963  42.237 -27.640  1.00 36.02           O\nATOM   2295  NE2 GLN H  81      89.709  40.456 -28.278  1.00 32.81           N\nATOM   2296  N   LEU H  82      84.279  40.760 -27.598  1.00  8.30           N\nATOM   2297  CA  LEU H  82      83.313  39.668 -27.500  1.00  6.66           C\nATOM   2298  C   LEU H  82      83.506  38.775 -28.715  1.00  8.13           C\nATOM   2299  O   LEU H  82      83.394  39.224 -29.852  1.00 11.09           O\nATOM   2300  CB  LEU H  82      81.897  40.229 -27.428  1.00 11.33           C\nATOM   2301  CG  LEU H  82      81.620  41.082 -26.183  1.00  8.58           C\nATOM   2302  CD1 LEU H  82      80.379  41.945 -26.426  1.00 15.75           C\nATOM   2303  CD2 LEU H  82      81.456  40.217 -24.953  1.00  8.64           C\nATOM   2304  N   SER H  82A     83.848  37.520 -28.490  1.00  9.48           N\nATOM   2305  CA  SER H  82A     84.096  36.622 -29.608  1.00 14.17           C\nATOM   2306  C   SER H  82A     83.065  35.512 -29.726  1.00 14.68           C\nATOM   2307  O   SER H  82A     82.295  35.277 -28.791  1.00 15.60           O\nATOM   2308  CB  SER H  82A     85.495  36.032 -29.478  1.00 16.18           C\nATOM   2309  OG  SER H  82A     85.628  35.378 -28.229  1.00 25.72           O\nATOM   2310  N   SER H  82B     83.086  34.818 -30.862  1.00 15.06           N\nATOM   2311  CA  SER H  82B     82.150  33.736 -31.167  1.00 17.96           C\nATOM   2312  C   SER H  82B     80.736  34.174 -30.778  1.00 16.18           C\nATOM   2313  O   SER H  82B     80.034  33.473 -30.041  1.00 17.47           O\nATOM   2314  CB  SER H  82B     82.543  32.461 -30.405  1.00 20.50           C\nATOM   2315  OG  SER H  82B     83.911  32.161 -30.607  1.00 26.03           O\nATOM   2316  N   LEU H  82C     80.307  35.313 -31.323  1.00 16.66           N\nATOM   2317  CA  LEU H  82C     78.997  35.874 -30.973  1.00 14.33           C\nATOM   2318  C   LEU H  82C     77.804  35.049 -31.430  1.00 14.16           C\nATOM   2319  O   LEU H  82C     77.870  34.366 -32.446  1.00 14.50           O\nATOM   2320  CB  LEU H  82C     78.881  37.307 -31.491  1.00 15.27           C\nATOM   2321  CG  LEU H  82C     79.780  38.348 -30.795  1.00 18.01           C\nATOM   2322  CD1 LEU H  82C     79.913  39.591 -31.657  1.00 17.13           C\nATOM   2323  CD2 LEU H  82C     79.245  38.667 -29.426  1.00 14.72           C\nATOM   2324  N   THR H  83      76.737  35.088 -30.633  1.00 11.32           N\nATOM   2325  CA  THR H  83      75.476  34.379 -30.900  1.00 13.76           C\nATOM   2326  C   THR H  83      74.323  35.340 -30.634  1.00 11.14           C\nATOM   2327  O   THR H  83      74.521  36.414 -30.063  1.00  8.54           O\nATOM   2328  CB  THR H  83      75.229  33.190 -29.935  1.00 15.13           C\nATOM   2329  OG1 THR H  83      75.372  33.638 -28.585  1.00 22.84           O\nATOM   2330  CG2 THR H  83      76.181  32.058 -30.205  1.00 20.64           C\nATOM   2331  N   SER H  84      73.115  34.915 -30.998  1.00 12.84           N\nATOM   2332  CA  SER H  84      71.905  35.701 -30.786  1.00 16.10           C\nATOM   2333  C   SER H  84      71.777  36.167 -29.331  1.00 17.12           C\nATOM   2334  O   SER H  84      71.436  37.317 -29.076  1.00 18.40           O\nATOM   2335  CB  SER H  84      70.683  34.862 -31.163  1.00 20.88           C\nATOM   2336  OG  SER H  84      70.662  34.593 -32.549  1.00 23.20           O\nATOM   2337  N   GLU H  85      72.154  35.290 -28.397  1.00 19.39           N\nATOM   2338  CA  GLU H  85      72.075  35.569 -26.965  1.00 17.95           C\nATOM   2339  C   GLU H  85      72.975  36.688 -26.480  1.00 15.38           C\nATOM   2340  O   GLU H  85      72.820  37.161 -25.353  1.00 16.10           O\nATOM   2341  CB  GLU H  85      72.338  34.313 -26.137  1.00 22.62           C\nATOM   2342  CG  GLU H  85      71.523  33.098 -26.551  1.00 34.61           C\nATOM   2343  CD  GLU H  85      70.048  33.405 -26.811  1.00 41.09           C\nATOM   2344  OE1 GLU H  85      69.270  33.550 -25.837  1.00 45.43           O\nATOM   2345  OE2 GLU H  85      69.670  33.480 -28.008  1.00 45.57           O\nATOM   2346  N   ASP H  86      73.949  37.084 -27.297  1.00 12.83           N\nATOM   2347  CA  ASP H  86      74.824  38.184 -26.895  1.00 13.04           C\nATOM   2348  C   ASP H  86      74.235  39.536 -27.237  1.00 10.51           C\nATOM   2349  O   ASP H  86      74.823  40.558 -26.925  1.00 14.23           O\nATOM   2350  CB  ASP H  86      76.230  38.037 -27.478  1.00 11.59           C\nATOM   2351  CG  ASP H  86      76.924  36.795 -26.976  1.00 15.83           C\nATOM   2352  OD1 ASP H  86      77.060  36.661 -25.749  1.00 17.68           O\nATOM   2353  OD2 ASP H  86      77.281  35.935 -27.800  1.00 14.21           O\nATOM   2354  N   THR H  87      73.114  39.551 -27.948  1.00  7.11           N\nATOM   2355  CA  THR H  87      72.447  40.806 -28.285  1.00  6.70           C\nATOM   2356  C   THR H  87      72.023  41.448 -26.964  1.00  7.18           C\nATOM   2357  O   THR H  87      71.329  40.811 -26.166  1.00  4.86           O\nATOM   2358  CB  THR H  87      71.218  40.555 -29.172  1.00  8.56           C\nATOM   2359  OG1 THR H  87      71.643  40.052 -30.446  1.00 11.31           O\nATOM   2360  CG2 THR H  87      70.431  41.848 -29.371  1.00 14.15           C\nATOM   2361  N   ALA H  88      72.528  42.661 -26.715  1.00  8.74           N\nATOM   2362  CA  ALA H  88      72.263  43.398 -25.486  1.00  7.11           C\nATOM   2363  C   ALA H  88      72.950  44.739 -25.516  1.00  7.64           C\nATOM   2364  O   ALA H  88      73.708  45.035 -26.431  1.00  5.34           O\nATOM   2365  CB  ALA H  88      72.785  42.631 -24.297  1.00 10.84           C\nATOM   2366  N   VAL H  89      72.683  45.548 -24.492  1.00  5.55           N\nATOM   2367  CA  VAL H  89      73.307  46.840 -24.361  1.00  7.24           C\nATOM   2368  C   VAL H  89      74.428  46.570 -23.350  1.00 11.27           C\nATOM   2369  O   VAL H  89      74.186  45.956 -22.311  1.00  9.68           O\nATOM   2370  CB  VAL H  89      72.306  47.915 -23.841  1.00  8.26           C\nATOM   2371  CG1 VAL H  89      73.065  49.219 -23.491  1.00  7.38           C\nATOM   2372  CG2 VAL H  89      71.262  48.216 -24.913  1.00  6.78           C\nATOM   2373  N   TYR H  90      75.651  46.994 -23.682  1.00 10.24           N\nATOM   2374  CA  TYR H  90      76.818  46.782 -22.827  1.00  8.40           C\nATOM   2375  C   TYR H  90      77.306  48.090 -22.268  1.00  5.82           C\nATOM   2376  O   TYR H  90      77.545  49.028 -23.007  1.00  4.01           O\nATOM   2377  CB  TYR H  90      77.941  46.138 -23.615  1.00 10.38           C\nATOM   2378  CG  TYR H  90      77.650  44.736 -24.024  1.00  9.27           C\nATOM   2379  CD1 TYR H  90      76.921  44.461 -25.190  1.00  5.93           C\nATOM   2380  CD2 TYR H  90      78.061  43.676 -23.221  1.00  6.81           C\nATOM   2381  CE1 TYR H  90      76.614  43.152 -25.548  1.00  9.43           C\nATOM   2382  CE2 TYR H  90      77.776  42.382 -23.553  1.00  9.80           C\nATOM   2383  CZ  TYR H  90      77.053  42.112 -24.713  1.00  8.61           C\nATOM   2384  OH  TYR H  90      76.793  40.799 -25.011  1.00  8.78           O\nATOM   2385  N   TYR H  91      77.470  48.122 -20.953  1.00  6.89           N\nATOM   2386  CA  TYR H  91      77.904  49.304 -20.245  1.00  8.68           C\nATOM   2387  C   TYR H  91      79.236  49.091 -19.597  1.00  8.97           C\nATOM   2388  O   TYR H  91      79.538  48.003 -19.163  1.00 10.03           O\nATOM   2389  CB  TYR H  91      76.947  49.617 -19.081  1.00 10.33           C\nATOM   2390  CG  TYR H  91      75.537  50.004 -19.469  1.00 10.15           C\nATOM   2391  CD1 TYR H  91      75.219  51.329 -19.763  1.00  9.34           C\nATOM   2392  CD2 TYR H  91      74.522  49.041 -19.546  1.00 12.31           C\nATOM   2393  CE1 TYR H  91      73.917  51.695 -20.132  1.00 12.50           C\nATOM   2394  CE2 TYR H  91      73.212  49.394 -19.912  1.00 11.89           C\nATOM   2395  CZ  TYR H  91      72.926  50.713 -20.210  1.00 11.70           C\nATOM   2396  OH  TYR H  91      71.669  51.048 -20.649  1.00 11.54           O\nATOM   2397  N   CYS H  92      80.050  50.140 -19.566  1.00 11.11           N\nATOM   2398  CA  CYS H  92      81.282  50.066 -18.816  1.00 10.24           C\nATOM   2399  C   CYS H  92      80.981  51.076 -17.710  1.00 12.11           C\nATOM   2400  O   CYS H  92      80.101  51.955 -17.873  1.00  4.56           O\nATOM   2401  CB  CYS H  92      82.471  50.543 -19.628  1.00  7.81           C\nATOM   2402  SG  CYS H  92      82.230  52.226 -20.189  1.00 10.99           S\nATOM   2403  N   ASN H  93      81.555  50.862 -16.535  1.00  8.22           N\nATOM   2404  CA  ASN H  93      81.368  51.814 -15.472  1.00  9.95           C\nATOM   2405  C   ASN H  93      82.641  51.799 -14.633  1.00  8.01           C\nATOM   2406  O   ASN H  93      83.512  50.978 -14.884  1.00 10.83           O\nATOM   2407  CB  ASN H  93      80.106  51.494 -14.669  1.00 11.02           C\nATOM   2408  CG  ASN H  93      80.108  50.106 -14.119  1.00 17.21           C\nATOM   2409  OD1 ASN H  93      81.165  49.548 -13.812  1.00 20.09           O\nATOM   2410  ND2 ASN H  93      78.914  49.518 -13.973  1.00 14.88           N\nATOM   2411  N   ALA H  94      82.781  52.722 -13.686  1.00  8.75           N\nATOM   2412  CA  ALA H  94      83.999  52.776 -12.882  1.00  6.22           C\nATOM   2413  C   ALA H  94      83.759  53.029 -11.424  1.00  6.70           C\nATOM   2414  O   ALA H  94      82.845  53.741 -11.072  1.00  9.09           O\nATOM   2415  CB  ALA H  94      84.924  53.855 -13.423  1.00 11.43           C\nATOM   2416  N   GLY H  95      84.642  52.492 -10.589  1.00  3.63           N\nATOM   2417  CA  GLY H  95      84.562  52.701  -9.160  1.00  3.46           C\nATOM   2418  C   GLY H  95      85.958  52.612  -8.587  1.00  7.36           C\nATOM   2419  O   GLY H  95      86.807  51.936  -9.160  1.00  6.84           O\nATOM   2420  N   HIS H  96      86.220  53.345  -7.517  1.00  8.29           N\nATOM   2421  CA  HIS H  96      87.517  53.360  -6.848  1.00 10.42           C\nATOM   2422  C   HIS H  96      88.009  51.948  -6.583  1.00  9.82           C\nATOM   2423  O   HIS H  96      87.257  51.077  -6.130  1.00  7.76           O\nATOM   2424  CB  HIS H  96      87.408  54.134  -5.524  1.00 15.41           C\nATOM   2425  CG  HIS H  96      87.175  55.594  -5.699  1.00 17.52           C\nATOM   2426  ND1 HIS H  96      86.083  56.254  -5.157  1.00 19.14           N\nATOM   2427  CD2 HIS H  96      87.879  56.535  -6.372  1.00 17.50           C\nATOM   2428  CE1 HIS H  96      86.130  57.530  -5.488  1.00 21.02           C\nATOM   2429  NE2 HIS H  96      87.213  57.733  -6.230  1.00 23.52           N\nATOM   2430  N   ASP H  97      89.270  51.700  -6.893  1.00  4.85           N\nATOM   2431  CA  ASP H  97      89.834  50.380  -6.679  1.00  7.34           C\nATOM   2432  C   ASP H  97      89.728  49.865  -5.250  1.00  6.32           C\nATOM   2433  O   ASP H  97      89.530  48.661  -5.043  1.00  7.92           O\nATOM   2434  CB  ASP H  97      91.284  50.289  -7.223  1.00  7.90           C\nATOM   2435  CG  ASP H  97      92.243  51.332  -6.633  1.00 11.55           C\nATOM   2436  OD1 ASP H  97      91.878  52.129  -5.734  1.00  4.06           O\nATOM   2437  OD2 ASP H  97      93.402  51.328  -7.090  1.00  9.89           O\nATOM   2438  N   TYR H  98      89.792  50.767  -4.271  1.00  7.16           N\nATOM   2439  CA  TYR H  98      89.680  50.385  -2.857  1.00  7.62           C\nATOM   2440  C   TYR H  98      88.238  50.291  -2.365  1.00  9.46           C\nATOM   2441  O   TYR H  98      88.003  49.937  -1.211  1.00  9.17           O\nATOM   2442  CB  TYR H  98      90.436  51.367  -1.952  1.00  9.61           C\nATOM   2443  CG  TYR H  98      89.978  52.801  -2.081  1.00  6.36           C\nATOM   2444  CD1 TYR H  98      90.519  53.621  -3.063  1.00  6.64           C\nATOM   2445  CD2 TYR H  98      88.960  53.303  -1.292  1.00  9.10           C\nATOM   2446  CE1 TYR H  98      90.060  54.882  -3.276  1.00 12.42           C\nATOM   2447  CE2 TYR H  98      88.469  54.591  -1.503  1.00  9.68           C\nATOM   2448  CZ  TYR H  98      89.033  55.375  -2.505  1.00 11.24           C\nATOM   2449  OH  TYR H  98      88.576  56.645  -2.768  1.00 10.03           O\nATOM   2450  N   ASP H  99      87.301  50.583  -3.263  1.00  8.87           N\nATOM   2451  CA  ASP H  99      85.867  50.601  -2.952  1.00 10.21           C\nATOM   2452  C   ASP H  99      85.213  49.255  -3.229  1.00  8.51           C\nATOM   2453  O   ASP H  99      85.476  48.619  -4.266  1.00  4.56           O\nATOM   2454  CB  ASP H  99      85.208  51.740  -3.746  1.00 10.95           C\nATOM   2455  CG  ASP H  99      83.717  51.896  -3.446  1.00 16.59           C\nATOM   2456  OD1 ASP H  99      82.907  51.161  -4.032  1.00 17.40           O\nATOM   2457  OD2 ASP H  99      83.362  52.784  -2.642  1.00 18.51           O\nATOM   2458  N   ARG H 100      84.330  48.844  -2.321  1.00  8.45           N\nATOM   2459  CA  ARG H 100      83.641  47.556  -2.433  1.00  8.64           C\nATOM   2460  C   ARG H 100      82.790  47.312  -3.682  1.00  9.58           C\nATOM   2461  O   ARG H 100      82.677  46.162  -4.146  1.00  8.09           O\nATOM   2462  CB  ARG H 100      82.837  47.260  -1.154  1.00  7.04           C\nATOM   2463  CG  ARG H 100      83.712  47.007   0.066  1.00  7.07           C\nATOM   2464  CD  ARG H 100      82.905  46.833   1.353  1.00 10.47           C\nATOM   2465  NE  ARG H 100      82.160  45.573   1.405  1.00 11.15           N\nATOM   2466  CZ  ARG H 100      81.165  45.335   2.265  1.00 14.61           C\nATOM   2467  NH1 ARG H 100      80.805  46.272   3.134  1.00 12.99           N\nATOM   2468  NH2 ARG H 100      80.497  44.183   2.225  1.00  6.92           N\nATOM   2469  N   GLY H 100A     82.184  48.371  -4.219  1.00 10.81           N\nATOM   2470  CA  GLY H 100A     81.378  48.184  -5.403  1.00  9.25           C\nATOM   2471  C   GLY H 100A     80.400  49.256  -5.843  1.00  8.45           C\nATOM   2472  O   GLY H 100A     79.470  48.959  -6.606  1.00 11.83           O\nATOM   2473  N   ARG H 100B     80.553  50.472  -5.349  1.00  8.26           N\nATOM   2474  CA  ARG H 100B     79.676  51.563  -5.767  1.00 11.20           C\nATOM   2475  C   ARG H 100B     80.047  51.941  -7.205  1.00 14.58           C\nATOM   2476  O   ARG H 100B     81.232  52.047  -7.540  1.00 12.61           O\nATOM   2477  CB  ARG H 100B     79.871  52.767  -4.868  1.00 10.95           C\nATOM   2478  CG  ARG H 100B     79.518  52.542  -3.417  1.00 11.70           C\nATOM   2479  CD  ARG H 100B     80.358  53.460  -2.524  1.00 13.25           C\nATOM   2480  NE  ARG H 100B     80.134  54.869  -2.801  1.00 19.12           N\nATOM   2481  CZ  ARG H 100B     80.927  55.855  -2.395  1.00 16.91           C\nATOM   2482  NH1 ARG H 100B     82.017  55.590  -1.703  1.00 19.97           N\nATOM   2483  NH2 ARG H 100B     80.596  57.114  -2.619  1.00 20.60           N\nATOM   2484  N   PHE H 100C     79.028  52.188  -8.025  1.00 13.52           N\nATOM   2485  CA  PHE H 100C     79.238  52.546  -9.432  1.00 13.71           C\nATOM   2486  C   PHE H 100C     78.812  54.004  -9.696  1.00 15.19           C\nATOM   2487  O   PHE H 100C     77.727  54.282 -10.227  1.00 15.51           O\nATOM   2488  CB  PHE H 100C     78.444  51.612 -10.377  1.00 17.46           C\nATOM   2489  CG  PHE H 100C     78.978  50.204 -10.458  1.00 18.67           C\nATOM   2490  CD1 PHE H 100C     80.320  49.969 -10.689  1.00 14.70           C\nATOM   2491  CD2 PHE H 100C     78.115  49.110 -10.349  1.00 18.97           C\nATOM   2492  CE1 PHE H 100C     80.797  48.664 -10.799  1.00 20.40           C\nATOM   2493  CE2 PHE H 100C     78.589  47.801 -10.460  1.00 22.59           C\nATOM   2494  CZ  PHE H 100C     79.925  47.577 -10.690  1.00 17.99           C\nATOM   2495  N   PRO H 101      79.683  54.966  -9.352  1.00 15.08           N\nATOM   2496  CA  PRO H 101      79.409  56.396  -9.501  1.00 13.39           C\nATOM   2497  C   PRO H 101      79.492  56.897 -10.930  1.00 15.65           C\nATOM   2498  O   PRO H 101      78.914  57.923 -11.278  1.00 11.17           O\nATOM   2499  CB  PRO H 101      80.493  57.029  -8.658  1.00 16.97           C\nATOM   2500  CG  PRO H 101      81.588  56.070  -8.808  1.00 14.28           C\nATOM   2501  CD  PRO H 101      80.930  54.765  -8.628  1.00 11.54           C\nATOM   2502  N   TYR H 102      80.222  56.178 -11.772  1.00 14.58           N\nATOM   2503  CA  TYR H 102      80.343  56.586 -13.166  1.00 14.61           C\nATOM   2504  C   TYR H 102      80.014  55.474 -14.145  1.00 11.15           C\nATOM   2505  O   TYR H 102      80.587  54.397 -14.082  1.00 10.08           O\nATOM   2506  CB  TYR H 102      81.741  57.139 -13.417  1.00 23.64           C\nATOM   2507  CG  TYR H 102      82.164  58.079 -12.305  1.00 31.06           C\nATOM   2508  CD1 TYR H 102      81.392  59.206 -11.992  1.00 35.08           C\nATOM   2509  CD2 TYR H 102      83.261  57.780 -11.495  1.00 35.51           C\nATOM   2510  CE1 TYR H 102      81.683  59.999 -10.886  1.00 42.39           C\nATOM   2511  CE2 TYR H 102      83.574  58.571 -10.385  1.00 42.62           C\nATOM   2512  CZ  TYR H 102      82.778  59.676 -10.078  1.00 45.31           C\nATOM   2513  OH  TYR H 102      83.061  60.440  -8.950  1.00 47.92           O\nATOM   2514  N   TRP H 103      79.126  55.773 -15.083  1.00  8.35           N\nATOM   2515  CA  TRP H 103      78.689  54.812 -16.066  1.00  8.73           C\nATOM   2516  C   TRP H 103      78.760  55.414 -17.468  1.00  8.89           C\nATOM   2517  O   TRP H 103      78.524  56.616 -17.658  1.00  6.26           O\nATOM   2518  CB  TRP H 103      77.225  54.450 -15.822  1.00  4.20           C\nATOM   2519  CG  TRP H 103      76.902  53.644 -14.597  1.00  2.00           C\nATOM   2520  CD1 TRP H 103      76.890  54.064 -13.289  1.00  2.00           C\nATOM   2521  CD2 TRP H 103      76.397  52.311 -14.597  1.00  6.02           C\nATOM   2522  NE1 TRP H 103      76.390  53.062 -12.489  1.00  6.57           N\nATOM   2523  CE2 TRP H 103      76.063  51.975 -13.267  1.00  3.08           C\nATOM   2524  CE3 TRP H 103      76.161  51.362 -15.608  1.00  8.75           C\nATOM   2525  CZ2 TRP H 103      75.529  50.733 -12.911  1.00  2.00           C\nATOM   2526  CZ3 TRP H 103      75.622  50.123 -15.254  1.00  5.25           C\nATOM   2527  CH2 TRP H 103      75.302  49.833 -13.922  1.00  8.09           C\nATOM   2528  N   GLY H 104      79.092  54.574 -18.436  1.00  7.24           N\nATOM   2529  CA  GLY H 104      79.095  55.006 -19.820  1.00  6.98           C\nATOM   2530  C   GLY H 104      77.624  54.929 -20.250  1.00 10.39           C\nATOM   2531  O   GLY H 104      76.789  54.393 -19.486  1.00  7.55           O\nATOM   2532  N   GLN H 105      77.288  55.470 -21.420  1.00  7.47           N\nATOM   2533  CA  GLN H 105      75.906  55.454 -21.914  1.00  7.93           C\nATOM   2534  C   GLN H 105      75.428  54.125 -22.484  1.00 11.65           C\nATOM   2535  O   GLN H 105      74.244  53.958 -22.800  1.00 10.70           O\nATOM   2536  CB  GLN H 105      75.668  56.585 -22.924  1.00  9.31           C\nATOM   2537  CG  GLN H 105      76.005  56.277 -24.372  1.00  7.90           C\nATOM   2538  CD  GLN H 105      77.481  56.306 -24.661  1.00 11.34           C\nATOM   2539  OE1 GLN H 105      78.306  56.195 -23.750  1.00  7.90           O\nATOM   2540  NE2 GLN H 105      77.830  56.477 -25.938  1.00 11.91           N\nATOM   2541  N   GLY H 106      76.346  53.166 -22.603  1.00 10.03           N\nATOM   2542  CA  GLY H 106      76.012  51.859 -23.142  1.00  4.38           C\nATOM   2543  C   GLY H 106      76.203  51.745 -24.641  1.00  5.00           C\nATOM   2544  O   GLY H 106      76.208  52.737 -25.356  1.00  7.44           O\nATOM   2545  N   THR H 107      76.457  50.516 -25.098  1.00  4.50           N\nATOM   2546  CA  THR H 107      76.623  50.234 -26.511  1.00  6.30           C\nATOM   2547  C   THR H 107      75.718  49.052 -26.854  1.00  6.79           C\nATOM   2548  O   THR H 107      75.830  47.967 -26.273  1.00  3.44           O\nATOM   2549  CB  THR H 107      78.059  49.856 -26.858  1.00  7.40           C\nATOM   2550  OG1 THR H 107      78.912  50.972 -26.568  1.00  9.58           O\nATOM   2551  CG2 THR H 107      78.163  49.494 -28.338  1.00  6.21           C\nATOM   2552  N   LEU H 108      74.851  49.256 -27.833  1.00  6.67           N\nATOM   2553  CA  LEU H 108      73.932  48.186 -28.248  1.00  9.05           C\nATOM   2554  C   LEU H 108      74.626  47.309 -29.296  1.00  6.96           C\nATOM   2555  O   LEU H 108      75.162  47.821 -30.278  1.00  6.24           O\nATOM   2556  CB  LEU H 108      72.625  48.774 -28.840  1.00  9.07           C\nATOM   2557  CG  LEU H 108      71.669  47.787 -29.553  1.00 10.50           C\nATOM   2558  CD1 LEU H 108      71.225  46.713 -28.570  1.00 10.27           C\nATOM   2559  CD2 LEU H 108      70.433  48.520 -30.118  1.00  8.40           C\nATOM   2560  N   VAL H 109      74.711  46.012 -29.005  1.00  6.25           N\nATOM   2561  CA  VAL H 109      75.296  45.064 -29.926  1.00  5.39           C\nATOM   2562  C   VAL H 109      74.190  44.130 -30.395  1.00  6.71           C\nATOM   2563  O   VAL H 109      73.539  43.491 -29.574  1.00  6.59           O\nATOM   2564  CB  VAL H 109      76.409  44.230 -29.255  1.00  7.32           C\nATOM   2565  CG1 VAL H 109      76.979  43.224 -30.254  1.00  6.75           C\nATOM   2566  CG2 VAL H 109      77.545  45.161 -28.789  1.00  3.64           C\nATOM   2567  N   THR H 110      73.971  44.054 -31.704  1.00  5.44           N\nATOM   2568  CA  THR H 110      72.934  43.179 -32.265  1.00  9.16           C\nATOM   2569  C   THR H 110      73.576  42.076 -33.114  1.00  9.46           C\nATOM   2570  O   THR H 110      74.230  42.368 -34.118  1.00 10.02           O\nATOM   2571  CB  THR H 110      71.918  43.956 -33.139  1.00  7.44           C\nATOM   2572  OG1 THR H 110      71.323  45.000 -32.358  1.00 12.40           O\nATOM   2573  CG2 THR H 110      70.803  43.017 -33.603  1.00  9.36           C\nATOM   2574  N   VAL H 111      73.444  40.828 -32.659  1.00  8.97           N\nATOM   2575  CA  VAL H 111      74.008  39.668 -33.350  1.00  9.71           C\nATOM   2576  C   VAL H 111      72.951  38.858 -34.109  1.00  9.88           C\nATOM   2577  O   VAL H 111      71.897  38.507 -33.571  1.00  8.03           O\nATOM   2578  CB  VAL H 111      74.716  38.717 -32.366  1.00  8.11           C\nATOM   2579  CG1 VAL H 111      75.481  37.673 -33.127  1.00 10.19           C\nATOM   2580  CG2 VAL H 111      75.675  39.489 -31.468  1.00 10.46           C\nATOM   2581  N   SER H 112      73.240  38.570 -35.373  1.00 11.51           N\nATOM   2582  CA  SER H 112      72.328  37.798 -36.212  1.00 11.15           C\nATOM   2583  C   SER H 112      73.048  37.160 -37.399  1.00 13.72           C\nATOM   2584  O   SER H 112      74.042  37.694 -37.873  1.00 11.40           O\nATOM   2585  CB  SER H 112      71.220  38.712 -36.730  1.00 12.57           C\nATOM   2586  OG  SER H 112      70.361  38.029 -37.621  1.00 17.93           O\nATOM   2587  N   ALA H 113      72.606  35.979 -37.830  1.00 13.72           N\nATOM   2588  CA  ALA H 113      73.222  35.310 -38.996  1.00 15.53           C\nATOM   2589  C   ALA H 113      72.526  35.654 -40.321  1.00 15.26           C\nATOM   2590  O   ALA H 113      72.878  35.118 -41.366  1.00 15.61           O\nATOM   2591  CB  ALA H 113      73.250  33.794 -38.800  1.00 18.54           C\nATOM   2592  N   ALA H 114      71.532  36.538 -40.251  1.00 11.41           N\nATOM   2593  CA  ALA H 114      70.749  36.991 -41.391  1.00 13.02           C\nATOM   2594  C   ALA H 114      71.540  37.850 -42.371  1.00 14.54           C\nATOM   2595  O   ALA H 114      72.534  38.464 -41.991  1.00 15.37           O\nATOM   2596  CB  ALA H 114      69.581  37.799 -40.864  1.00 12.73           C\nATOM   2597  N   LYS H 115      71.083  37.905 -43.619  1.00 13.57           N\nATOM   2598  CA  LYS H 115      71.735  38.728 -44.653  1.00 14.87           C\nATOM   2599  C   LYS H 115      70.908  39.997 -44.769  1.00 15.20           C\nATOM   2600  O   LYS H 115      69.748  39.994 -44.371  1.00 16.54           O\nATOM   2601  CB  LYS H 115      71.706  38.018 -46.003  1.00 16.93           C\nATOM   2602  CG  LYS H 115      72.411  36.679 -46.041  1.00 24.58           C\nATOM   2603  CD  LYS H 115      73.902  36.842 -45.715  1.00 30.30           C\nATOM   2604  CE  LYS H 115      74.687  35.559 -46.014  1.00 32.60           C\nATOM   2605  NZ  LYS H 115      74.783  35.310 -47.480  1.00 33.00           N\nATOM   2606  N   THR H 116      71.459  41.093 -45.312  1.00 15.91           N\nATOM   2607  CA  THR H 116      70.632  42.297 -45.426  1.00 15.12           C\nATOM   2608  C   THR H 116      69.565  42.040 -46.492  1.00 13.66           C\nATOM   2609  O   THR H 116      69.842  41.450 -47.535  1.00 10.37           O\nATOM   2610  CB  THR H 116      71.430  43.618 -45.618  1.00 18.68           C\nATOM   2611  OG1 THR H 116      71.206  44.179 -46.919  1.00 21.85           O\nATOM   2612  CG2 THR H 116      72.868  43.380 -45.384  1.00 11.17           C\nATOM   2613  N   THR H 117      68.322  42.352 -46.122  1.00 12.70           N\nATOM   2614  CA  THR H 117      67.131  42.107 -46.932  1.00  9.08           C\nATOM   2615  C   THR H 117      66.253  43.362 -46.907  1.00  9.08           C\nATOM   2616  O   THR H 117      66.004  43.914 -45.846  1.00  9.58           O\nATOM   2617  CB  THR H 117      66.359  40.906 -46.303  1.00  7.34           C\nATOM   2618  OG1 THR H 117      67.262  39.795 -46.138  1.00  7.52           O\nATOM   2619  CG2 THR H 117      65.183  40.461 -47.172  1.00  6.08           C\nATOM   2620  N   PRO H 118      65.822  43.845 -48.082  1.00  9.05           N\nATOM   2621  CA  PRO H 118      64.923  44.990 -48.206  1.00  9.17           C\nATOM   2622  C   PRO H 118      63.523  44.614 -47.714  1.00  7.10           C\nATOM   2623  O   PRO H 118      63.137  43.443 -47.767  1.00  3.99           O\nATOM   2624  CB  PRO H 118      64.917  45.263 -49.718  1.00  8.31           C\nATOM   2625  CG  PRO H 118      65.005  43.925 -50.281  1.00  5.19           C\nATOM   2626  CD  PRO H 118      66.092  43.262 -49.417  1.00  9.29           C\nATOM   2627  N   PRO H 119      62.747  45.588 -47.244  1.00 10.87           N\nATOM   2628  CA  PRO H 119      61.437  45.236 -46.707  1.00 11.43           C\nATOM   2629  C   PRO H 119      60.355  45.217 -47.785  1.00 14.18           C\nATOM   2630  O   PRO H 119      60.528  45.782 -48.861  1.00 13.72           O\nATOM   2631  CB  PRO H 119      61.175  46.365 -45.717  1.00 11.79           C\nATOM   2632  CG  PRO H 119      61.705  47.563 -46.473  1.00 13.37           C\nATOM   2633  CD  PRO H 119      63.019  47.029 -47.057  1.00 10.13           C\nATOM   2634  N   SER H 120      59.266  44.495 -47.496  1.00 13.23           N\nATOM   2635  CA  SER H 120      58.082  44.462 -48.342  1.00  8.85           C\nATOM   2636  C   SER H 120      57.141  45.406 -47.598  1.00  8.88           C\nATOM   2637  O   SER H 120      57.009  45.298 -46.380  1.00 12.04           O\nATOM   2638  CB  SER H 120      57.498  43.054 -48.376  1.00 10.49           C\nATOM   2639  OG  SER H 120      58.390  42.153 -48.992  1.00 14.61           O\nATOM   2640  N   VAL H 121      56.531  46.353 -48.304  1.00  9.18           N\nATOM   2641  CA  VAL H 121      55.634  47.336 -47.687  1.00  7.07           C\nATOM   2642  C   VAL H 121      54.192  47.096 -48.180  1.00  8.72           C\nATOM   2643  O   VAL H 121      53.906  47.151 -49.378  1.00 11.95           O\nATOM   2644  CB  VAL H 121      56.074  48.774 -48.031  1.00  8.09           C\nATOM   2645  CG1 VAL H 121      55.184  49.802 -47.328  1.00  4.70           C\nATOM   2646  CG2 VAL H 121      57.527  48.990 -47.637  1.00  2.00           C\nATOM   2647  N   TYR H 122      53.310  46.752 -47.253  1.00 11.08           N\nATOM   2648  CA  TYR H 122      51.907  46.484 -47.579  1.00 10.54           C\nATOM   2649  C   TYR H 122      50.963  47.559 -47.069  1.00  7.25           C\nATOM   2650  O   TYR H 122      51.073  48.008 -45.922  1.00  8.48           O\nATOM   2651  CB  TYR H 122      51.491  45.135 -47.007  1.00  7.16           C\nATOM   2652  CG  TYR H 122      52.389  44.014 -47.453  1.00 11.92           C\nATOM   2653  CD1 TYR H 122      52.462  43.645 -48.799  1.00  7.97           C\nATOM   2654  CD2 TYR H 122      53.171  43.323 -46.540  1.00 10.10           C\nATOM   2655  CE1 TYR H 122      53.284  42.610 -49.216  1.00 10.37           C\nATOM   2656  CE2 TYR H 122      54.000  42.283 -46.960  1.00  8.01           C\nATOM   2657  CZ  TYR H 122      54.045  41.940 -48.293  1.00 10.35           C\nATOM   2658  OH  TYR H 122      54.813  40.883 -48.702  1.00 12.63           O\nATOM   2659  N   PRO H 123      50.027  48.003 -47.923  1.00  7.48           N\nATOM   2660  CA  PRO H 123      49.097  49.048 -47.520  1.00  7.16           C\nATOM   2661  C   PRO H 123      47.989  48.439 -46.647  1.00 10.26           C\nATOM   2662  O   PRO H 123      47.562  47.305 -46.862  1.00 10.27           O\nATOM   2663  CB  PRO H 123      48.591  49.560 -48.859  1.00  9.73           C\nATOM   2664  CG  PRO H 123      48.501  48.317 -49.694  1.00  9.76           C\nATOM   2665  CD  PRO H 123      49.753  47.546 -49.303  1.00  7.98           C\nATOM   2666  N   LEU H 124      47.613  49.186 -45.612  1.00 12.75           N\nATOM   2667  CA  LEU H 124      46.581  48.786 -44.667  1.00 13.76           C\nATOM   2668  C   LEU H 124      45.437  49.767 -44.837  1.00 14.54           C\nATOM   2669  O   LEU H 124      45.475  50.883 -44.304  1.00 10.27           O\nATOM   2670  CB  LEU H 124      47.135  48.858 -43.249  1.00 10.76           C\nATOM   2671  CG  LEU H 124      47.777  47.652 -42.557  1.00 11.49           C\nATOM   2672  CD1 LEU H 124      48.335  46.702 -43.522  1.00  8.79           C\nATOM   2673  CD2 LEU H 124      48.811  48.139 -41.515  1.00  5.49           C\nATOM   2674  N   ALA H 125      44.459  49.359 -45.642  1.00 16.02           N\nATOM   2675  CA  ALA H 125      43.284  50.170 -45.934  1.00 16.91           C\nATOM   2676  C   ALA H 125      42.067  49.545 -45.287  1.00 18.79           C\nATOM   2677  O   ALA H 125      41.971  48.324 -45.172  1.00 18.35           O\nATOM   2678  CB  ALA H 125      43.077  50.259 -47.438  1.00 15.61           C\nATOM   2679  N   PRO H 126      41.111  50.377 -44.864  1.00 24.13           N\nATOM   2680  CA  PRO H 126      39.968  49.794 -44.148  1.00 28.70           C\nATOM   2681  C   PRO H 126      38.916  49.212 -45.108  1.00 30.95           C\nATOM   2682  O   PRO H 126      38.654  49.798 -46.170  1.00 32.21           O\nATOM   2683  CB  PRO H 126      39.452  50.977 -43.331  1.00 27.75           C\nATOM   2684  CG  PRO H 126      39.703  52.149 -44.240  1.00 24.12           C\nATOM   2685  CD  PRO H 126      41.036  51.850 -44.904  1.00 22.65           C\nATOM   2686  N   GLY H 127      38.374  48.034 -44.761  1.00 34.12           N\nATOM   2687  CA  GLY H 127      37.341  47.385 -45.577  1.00 35.23           C\nATOM   2688  C   GLY H 127      36.125  48.275 -45.831  1.00 34.87           C\nATOM   2689  O   GLY H 127      35.915  49.254 -45.109  1.00 37.09           O\nATOM   2690  N   SER H 128      35.326  47.956 -46.847  0.00 33.20           N\nATOM   2691  CA  SER H 128      34.148  48.772 -47.162  0.00 32.00           C\nATOM   2692  C   SER H 128      32.946  48.467 -46.267  0.00 30.83           C\nATOM   2693  O   SER H 128      31.875  48.090 -46.749  0.00 30.86           O\nATOM   2694  CB  SER H 128      33.759  48.631 -48.641  0.00 31.30           C\nATOM   2695  OG  SER H 128      33.265  47.334 -48.931  0.00 30.79           O\nATOM   2696  N   ALA H 129      33.131  48.639 -44.962  0.00 30.21           N\nATOM   2697  CA  ALA H 129      32.068  48.393 -43.991  0.00 29.57           C\nATOM   2698  C   ALA H 129      31.219  49.648 -43.814  0.00 28.58           C\nATOM   2699  O   ALA H 129      31.640  50.610 -43.166  0.00 28.91           O\nATOM   2700  CB  ALA H 129      32.670  47.960 -42.658  0.00 29.19           C\nATOM   2701  N   ALA H 130      30.026  49.637 -44.407  0.00 29.23           N\nATOM   2702  CA  ALA H 130      29.109  50.768 -44.319  0.00 28.22           C\nATOM   2703  C   ALA H 130      28.473  50.857 -42.932  0.00 28.14           C\nATOM   2704  O   ALA H 130      27.414  50.277 -42.686  0.00 28.09           O\nATOM   2705  CB  ALA H 130      28.033  50.652 -45.392  0.00 28.78           C\nATOM   2706  N   GLN H 131      29.125  51.592 -42.039  0.00 27.53           N\nATOM   2707  CA  GLN H 131      28.639  51.756 -40.673  0.00 28.21           C\nATOM   2708  C   GLN H 131      28.707  53.204 -40.181  0.00 28.34           C\nATOM   2709  O   GLN H 131      28.408  53.475 -39.016  0.00 28.34           O\nATOM   2710  CB  GLN H 131      29.425  50.853 -39.715  0.00 27.17           C\nATOM   2711  CG  GLN H 131      29.278  49.362 -39.982  0.00 26.00           C\nATOM   2712  CD  GLN H 131      30.028  48.520 -38.974  0.00 25.50           C\nATOM   2713  OE1 GLN H 131      29.490  48.164 -37.926  0.00 25.07           O\nATOM   2714  NE2 GLN H 131      31.280  48.203 -39.279  0.00 25.21           N\nATOM   2715  N   THR H 132      29.091  54.122 -41.068  0.00 29.04           N\nATOM   2716  CA  THR H 132      29.215  55.556 -40.767  0.00 30.26           C\nATOM   2717  C   THR H 132      30.077  55.874 -39.544  0.00 30.44           C\nATOM   2718  O   THR H 132      29.736  55.502 -38.417  0.00 31.06           O\nATOM   2719  CB  THR H 132      27.836  56.249 -40.607  0.00 29.25           C\nATOM   2720  OG1 THR H 132      27.151  55.729 -39.461  0.00 28.78           O\nATOM   2721  CG2 THR H 132      26.984  56.031 -41.845  0.00 28.58           C\nATOM   2722  N   ASN H 133      31.174  56.596 -39.759  0.00 31.58           N\nATOM   2723  CA  ASN H 133      32.079  56.952 -38.668  0.00 33.13           C\nATOM   2724  C   ASN H 133      32.922  58.185 -38.979  0.00 33.27           C\nATOM   2725  O   ASN H 133      33.046  58.605 -40.129  0.00 32.77           O\nATOM   2726  CB  ASN H 133      32.995  55.767 -38.332  0.00 35.65           C\nATOM   2727  CG  ASN H 133      33.886  56.031 -37.134  0.00 37.49           C\nATOM   2728  OD1 ASN H 133      35.073  56.326 -37.281  0.00 39.31           O\nATOM   2729  ND2 ASN H 133      33.318  55.935 -35.939  0.00 39.49           N\nATOM   2730  N   SER H 134      33.505  58.746 -37.923  1.00 34.17           N\nATOM   2731  CA  SER H 134      34.358  59.936 -38.013  1.00 34.64           C\nATOM   2732  C   SER H 134      35.806  59.564 -38.436  1.00 35.33           C\nATOM   2733  O   SER H 134      35.980  58.821 -39.419  1.00 40.54           O\nATOM   2734  CB  SER H 134      34.348  60.674 -36.672  1.00 32.51           C\nATOM   2735  OG  SER H 134      34.842  61.987 -36.819  1.00 32.22           O\nATOM   2736  N   MET H 135      36.824  60.020 -37.682  1.00 28.60           N\nATOM   2737  CA  MET H 135      38.249  59.776 -37.991  1.00 21.22           C\nATOM   2738  C   MET H 135      38.550  58.448 -38.666  1.00 19.12           C\nATOM   2739  O   MET H 135      37.899  57.448 -38.372  1.00 17.56           O\nATOM   2740  CB  MET H 135      39.091  59.829 -36.711  1.00 18.98           C\nATOM   2741  CG  MET H 135      38.991  61.096 -35.912  1.00 16.88           C\nATOM   2742  SD  MET H 135      40.181  62.280 -36.419  1.00 23.25           S\nATOM   2743  CE  MET H 135      39.144  63.687 -36.784  1.00 20.29           C\nATOM   2744  N   VAL H 136      39.513  58.440 -39.588  1.00 14.67           N\nATOM   2745  CA  VAL H 136      39.877  57.187 -40.234  1.00 16.14           C\nATOM   2746  C   VAL H 136      41.377  56.882 -39.975  1.00 13.22           C\nATOM   2747  O   VAL H 136      42.217  57.788 -39.946  1.00 15.22           O\nATOM   2748  CB  VAL H 136      39.529  57.196 -41.761  1.00 13.00           C\nATOM   2749  CG1 VAL H 136      40.403  58.179 -42.513  1.00 14.29           C\nATOM   2750  CG2 VAL H 136      39.654  55.803 -42.336  1.00 14.90           C\nATOM   2751  N   THR H 137      41.682  55.618 -39.700  1.00 14.70           N\nATOM   2752  CA  THR H 137      43.061  55.189 -39.461  1.00 11.97           C\nATOM   2753  C   THR H 137      43.556  54.298 -40.626  1.00 10.63           C\nATOM   2754  O   THR H 137      42.869  53.353 -41.059  1.00  5.41           O\nATOM   2755  CB  THR H 137      43.182  54.448 -38.098  1.00 11.71           C\nATOM   2756  OG1 THR H 137      42.959  55.387 -37.037  1.00 11.75           O\nATOM   2757  CG2 THR H 137      44.586  53.826 -37.936  1.00  9.00           C\nATOM   2758  N   LEU H 138      44.694  54.696 -41.199  1.00  7.03           N\nATOM   2759  CA  LEU H 138      45.329  53.966 -42.300  1.00  9.51           C\nATOM   2760  C   LEU H 138      46.675  53.455 -41.772  1.00  5.96           C\nATOM   2761  O   LEU H 138      47.112  53.890 -40.701  1.00  7.65           O\nATOM   2762  CB  LEU H 138      45.532  54.881 -43.516  1.00  6.50           C\nATOM   2763  CG  LEU H 138      44.318  55.704 -43.985  1.00  5.48           C\nATOM   2764  CD1 LEU H 138      44.187  56.946 -43.159  1.00 11.04           C\nATOM   2765  CD2 LEU H 138      44.498  56.133 -45.395  1.00 14.69           C\nATOM   2766  N   GLY H 139      47.290  52.509 -42.465  1.00  9.43           N\nATOM   2767  CA  GLY H 139      48.570  52.023 -41.999  1.00  5.77           C\nATOM   2768  C   GLY H 139      49.384  51.395 -43.098  1.00 10.34           C\nATOM   2769  O   GLY H 139      48.905  51.256 -44.237  1.00  7.90           O\nATOM   2770  N   CYS H 140      50.640  51.075 -42.760  1.00  8.81           N\nATOM   2771  CA  CYS H 140      51.570  50.386 -43.650  1.00  8.92           C\nATOM   2772  C   CYS H 140      52.310  49.337 -42.816  1.00  6.77           C\nATOM   2773  O   CYS H 140      52.713  49.618 -41.688  1.00  8.18           O\nATOM   2774  CB  CYS H 140      52.577  51.351 -44.272  1.00  8.93           C\nATOM   2775  SG  CYS H 140      51.929  52.174 -45.759  1.00 17.86           S\nATOM   2776  N   LEU H 141      52.367  48.111 -43.333  1.00  5.27           N\nATOM   2777  CA  LEU H 141      53.041  46.982 -42.696  1.00  4.33           C\nATOM   2778  C   LEU H 141      54.364  46.883 -43.438  1.00  4.95           C\nATOM   2779  O   LEU H 141      54.363  46.803 -44.654  1.00  2.82           O\nATOM   2780  CB  LEU H 141      52.281  45.689 -42.982  1.00  4.33           C\nATOM   2781  CG  LEU H 141      52.279  44.429 -42.096  1.00  7.08           C\nATOM   2782  CD1 LEU H 141      52.152  43.231 -42.987  1.00 10.43           C\nATOM   2783  CD2 LEU H 141      53.444  44.285 -41.179  1.00  7.20           C\nATOM   2784  N   VAL H 142      55.471  46.955 -42.700  1.00  6.90           N\nATOM   2785  CA  VAL H 142      56.816  46.837 -43.264  1.00  8.78           C\nATOM   2786  C   VAL H 142      57.325  45.510 -42.734  1.00  7.58           C\nATOM   2787  O   VAL H 142      57.524  45.321 -41.531  1.00  8.70           O\nATOM   2788  CB  VAL H 142      57.734  48.005 -42.810  1.00  9.66           C\nATOM   2789  CG1 VAL H 142      59.025  48.001 -43.621  1.00  7.42           C\nATOM   2790  CG2 VAL H 142      57.005  49.314 -42.972  1.00  6.71           C\nATOM   2791  N   LYS H 143      57.571  44.591 -43.648  1.00  5.52           N\nATOM   2792  CA  LYS H 143      57.943  43.257 -43.247  1.00  6.58           C\nATOM   2793  C   LYS H 143      59.114  42.587 -43.934  1.00  6.95           C\nATOM   2794  O   LYS H 143      59.370  42.833 -45.098  1.00  8.24           O\nATOM   2795  CB  LYS H 143      56.694  42.393 -43.470  1.00 10.12           C\nATOM   2796  CG  LYS H 143      56.708  41.019 -42.891  1.00 10.33           C\nATOM   2797  CD  LYS H 143      55.360  40.386 -43.123  1.00 14.03           C\nATOM   2798  CE  LYS H 143      55.158  39.149 -42.273  1.00 12.11           C\nATOM   2799  NZ  LYS H 143      55.893  37.982 -42.795  1.00  9.36           N\nATOM   2800  N   GLY H 144      59.799  41.738 -43.180  1.00  3.76           N\nATOM   2801  CA  GLY H 144      60.881  40.925 -43.708  1.00  6.09           C\nATOM   2802  C   GLY H 144      62.194  41.590 -44.057  1.00  8.34           C\nATOM   2803  O   GLY H 144      62.850  41.182 -45.016  1.00  8.81           O\nATOM   2804  N   TYR H 145      62.586  42.591 -43.283  1.00  7.29           N\nATOM   2805  CA  TYR H 145      63.840  43.271 -43.552  1.00  5.35           C\nATOM   2806  C   TYR H 145      64.915  43.020 -42.486  1.00  5.68           C\nATOM   2807  O   TYR H 145      64.634  42.568 -41.372  1.00  8.01           O\nATOM   2808  CB  TYR H 145      63.590  44.768 -43.699  1.00  2.92           C\nATOM   2809  CG  TYR H 145      63.137  45.454 -42.424  1.00  7.18           C\nATOM   2810  CD1 TYR H 145      61.791  45.489 -42.069  1.00  4.62           C\nATOM   2811  CD2 TYR H 145      64.060  46.049 -41.568  1.00  2.00           C\nATOM   2812  CE1 TYR H 145      61.375  46.088 -40.905  1.00  3.92           C\nATOM   2813  CE2 TYR H 145      63.642  46.657 -40.398  1.00  6.47           C\nATOM   2814  CZ  TYR H 145      62.301  46.658 -40.070  1.00  3.99           C\nATOM   2815  OH  TYR H 145      61.900  47.187 -38.870  1.00  6.85           O\nATOM   2816  N   PHE H 146      66.163  43.282 -42.871  1.00  8.59           N\nATOM   2817  CA  PHE H 146      67.321  43.149 -41.988  1.00  4.54           C\nATOM   2818  C   PHE H 146      68.426  43.973 -42.622  1.00  5.11           C\nATOM   2819  O   PHE H 146      68.578  43.982 -43.853  1.00  5.49           O\nATOM   2820  CB  PHE H 146      67.790  41.700 -41.838  1.00  8.78           C\nATOM   2821  CG  PHE H 146      68.960  41.539 -40.904  1.00  6.45           C\nATOM   2822  CD1 PHE H 146      70.260  41.697 -41.354  1.00 12.19           C\nATOM   2823  CD2 PHE H 146      68.753  41.335 -39.563  1.00 10.33           C\nATOM   2824  CE1 PHE H 146      71.325  41.661 -40.462  1.00 11.87           C\nATOM   2825  CE2 PHE H 146      69.826  41.294 -38.650  1.00 10.49           C\nATOM   2826  CZ  PHE H 146      71.106  41.465 -39.097  1.00  9.90           C\nATOM   2827  N   PRO H 147      69.173  44.729 -41.795  1.00  3.48           N\nATOM   2828  CA  PRO H 147      68.963  44.922 -40.356  1.00  3.20           C\nATOM   2829  C   PRO H 147      68.075  46.136 -40.064  1.00  6.87           C\nATOM   2830  O   PRO H 147      67.440  46.667 -40.965  1.00  6.03           O\nATOM   2831  CB  PRO H 147      70.362  45.262 -39.879  1.00  4.89           C\nATOM   2832  CG  PRO H 147      70.841  46.172 -40.970  1.00  7.46           C\nATOM   2833  CD  PRO H 147      70.393  45.433 -42.240  1.00  7.33           C\nATOM   2834  N   GLU H 148      67.967  46.500 -38.784  1.00  7.02           N\nATOM   2835  CA  GLU H 148      67.275  47.714 -38.414  1.00  3.98           C\nATOM   2836  C   GLU H 148      68.220  48.879 -38.733  1.00 11.34           C\nATOM   2837  O   GLU H 148      69.435  48.691 -38.906  1.00  8.52           O\nATOM   2838  CB  GLU H 148      66.944  47.745 -36.927  1.00  7.53           C\nATOM   2839  CG  GLU H 148      65.972  46.670 -36.494  1.00  2.88           C\nATOM   2840  CD  GLU H 148      65.176  47.102 -35.293  1.00 14.09           C\nATOM   2841  OE1 GLU H 148      64.351  48.042 -35.432  1.00 15.40           O\nATOM   2842  OE2 GLU H 148      65.393  46.520 -34.208  1.00 14.84           O\nATOM   2843  N   PRO H 149      67.660  50.081 -38.874  1.00 11.93           N\nATOM   2844  CA  PRO H 149      66.215  50.298 -38.857  1.00 10.63           C\nATOM   2845  C   PRO H 149      65.636  50.654 -40.215  1.00 11.10           C\nATOM   2846  O   PRO H 149      66.322  50.611 -41.237  1.00  9.93           O\nATOM   2847  CB  PRO H 149      66.127  51.518 -37.971  1.00 13.00           C\nATOM   2848  CG  PRO H 149      67.251  52.375 -38.546  1.00 10.73           C\nATOM   2849  CD  PRO H 149      68.377  51.365 -38.773  1.00 13.21           C\nATOM   2850  N   VAL H 150      64.348  50.990 -40.208  1.00 11.41           N\nATOM   2851  CA  VAL H 150      63.652  51.506 -41.386  1.00  6.55           C\nATOM   2852  C   VAL H 150      63.034  52.766 -40.788  1.00  9.17           C\nATOM   2853  O   VAL H 150      62.825  52.846 -39.569  1.00  7.24           O\nATOM   2854  CB  VAL H 150      62.469  50.630 -41.922  1.00  5.58           C\nATOM   2855  CG1 VAL H 150      62.950  49.368 -42.555  1.00  3.10           C\nATOM   2856  CG2 VAL H 150      61.436  50.380 -40.812  1.00  5.03           C\nATOM   2857  N   THR H 151      62.781  53.756 -41.628  1.00  5.14           N\nATOM   2858  CA  THR H 151      62.138  54.974 -41.162  1.00  8.02           C\nATOM   2859  C   THR H 151      60.860  55.059 -41.966  1.00  9.44           C\nATOM   2860  O   THR H 151      60.798  54.598 -43.109  1.00  8.69           O\nATOM   2861  CB  THR H 151      62.957  56.240 -41.449  1.00  7.33           C\nATOM   2862  OG1 THR H 151      63.188  56.346 -42.859  1.00 14.63           O\nATOM   2863  CG2 THR H 151      64.274  56.221 -40.702  1.00 10.61           C\nATOM   2864  N   VAL H 152      59.810  55.579 -41.343  1.00  9.70           N\nATOM   2865  CA  VAL H 152      58.568  55.716 -42.068  1.00 11.90           C\nATOM   2866  C   VAL H 152      57.922  57.053 -41.772  1.00 12.50           C\nATOM   2867  O   VAL H 152      57.982  57.551 -40.641  1.00 15.02           O\nATOM   2868  CB  VAL H 152      57.593  54.493 -41.866  1.00 13.91           C\nATOM   2869  CG1 VAL H 152      58.058  53.558 -40.761  1.00 15.48           C\nATOM   2870  CG2 VAL H 152      56.186  54.957 -41.628  1.00 13.04           C\nATOM   2871  N   THR H 153      57.508  57.722 -42.842  1.00 11.70           N\nATOM   2872  CA  THR H 153      56.826  58.999 -42.739  1.00  8.49           C\nATOM   2873  C   THR H 153      55.531  58.879 -43.541  1.00  9.22           C\nATOM   2874  O   THR H 153      55.313  57.895 -44.253  1.00  8.08           O\nATOM   2875  CB  THR H 153      57.658  60.157 -43.287  1.00  8.95           C\nATOM   2876  OG1 THR H 153      57.854  59.987 -44.685  1.00  6.78           O\nATOM   2877  CG2 THR H 153      59.011  60.247 -42.577  1.00 10.51           C\nATOM   2878  N   TRP H 154      54.666  59.877 -43.395  1.00 11.76           N\nATOM   2879  CA  TRP H 154      53.392  59.904 -44.103  1.00 11.59           C\nATOM   2880  C   TRP H 154      53.316  61.234 -44.841  1.00 11.50           C\nATOM   2881  O   TRP H 154      53.561  62.294 -44.257  1.00 11.72           O\nATOM   2882  CB  TRP H 154      52.236  59.733 -43.110  1.00  9.36           C\nATOM   2883  CG  TRP H 154      52.151  58.339 -42.538  1.00  8.80           C\nATOM   2884  CD1 TRP H 154      52.784  57.864 -41.412  1.00  3.34           C\nATOM   2885  CD2 TRP H 154      51.411  57.218 -43.084  1.00  3.64           C\nATOM   2886  NE1 TRP H 154      52.490  56.527 -41.243  1.00  2.35           N\nATOM   2887  CE2 TRP H 154      51.655  56.108 -42.247  1.00  2.00           C\nATOM   2888  CE3 TRP H 154      50.586  57.056 -44.203  1.00  5.91           C\nATOM   2889  CZ2 TRP H 154      51.096  54.848 -42.495  1.00  2.00           C\nATOM   2890  CZ3 TRP H 154      50.029  55.794 -44.450  1.00  6.73           C\nATOM   2891  CH2 TRP H 154      50.288  54.710 -43.605  1.00  2.39           C\nATOM   2892  N   ASN H 155      53.070  61.151 -46.151  1.00 12.08           N\nATOM   2893  CA  ASN H 155      52.988  62.325 -47.009  1.00 14.18           C\nATOM   2894  C   ASN H 155      54.254  63.163 -46.903  1.00 11.98           C\nATOM   2895  O   ASN H 155      54.216  64.383 -46.806  1.00 11.43           O\nATOM   2896  CB  ASN H 155      51.705  63.128 -46.723  1.00 12.88           C\nATOM   2897  CG  ASN H 155      50.486  62.426 -47.262  1.00 12.85           C\nATOM   2898  OD1 ASN H 155      50.622  61.356 -47.820  1.00 10.60           O\nATOM   2899  ND2 ASN H 155      49.290  63.036 -47.117  1.00 13.25           N\nATOM   2900  N   SER H 156      55.376  62.449 -46.851  1.00 15.02           N\nATOM   2901  CA  SER H 156      56.699  63.060 -46.790  1.00 18.90           C\nATOM   2902  C   SER H 156      56.944  63.905 -45.562  1.00 19.78           C\nATOM   2903  O   SER H 156      57.701  64.879 -45.609  1.00 23.90           O\nATOM   2904  CB  SER H 156      56.954  63.890 -48.049  1.00 17.03           C\nATOM   2905  OG  SER H 156      56.833  63.067 -49.186  1.00 18.22           O\nATOM   2906  N   GLY H 157      56.326  63.513 -44.453  1.00 22.42           N\nATOM   2907  CA  GLY H 157      56.494  64.249 -43.210  1.00 23.00           C\nATOM   2908  C   GLY H 157      55.447  65.320 -42.967  1.00 23.98           C\nATOM   2909  O   GLY H 157      55.430  65.931 -41.891  1.00 26.73           O\nATOM   2910  N   SER H 158      54.573  65.555 -43.946  1.00 22.99           N\nATOM   2911  CA  SER H 158      53.528  66.563 -43.781  1.00 21.26           C\nATOM   2912  C   SER H 158      52.519  66.084 -42.730  1.00 19.36           C\nATOM   2913  O   SER H 158      51.934  66.892 -42.010  1.00 19.69           O\nATOM   2914  CB  SER H 158      52.842  66.881 -45.119  1.00 22.29           C\nATOM   2915  OG  SER H 158      51.676  66.100 -45.297  1.00 28.71           O\nATOM   2916  N   LEU H 159      52.281  64.773 -42.688  1.00 19.68           N\nATOM   2917  CA  LEU H 159      51.383  64.173 -41.687  1.00 18.80           C\nATOM   2918  C   LEU H 159      52.254  63.640 -40.571  1.00 17.69           C\nATOM   2919  O   LEU H 159      52.785  62.534 -40.672  1.00 20.22           O\nATOM   2920  CB  LEU H 159      50.565  63.004 -42.265  1.00 14.53           C\nATOM   2921  CG  LEU H 159      49.409  63.269 -43.236  1.00 13.88           C\nATOM   2922  CD1 LEU H 159      48.730  61.944 -43.621  1.00  9.23           C\nATOM   2923  CD2 LEU H 159      48.424  64.236 -42.580  1.00 13.61           C\nATOM   2924  N   SER H 160      52.394  64.417 -39.504  1.00 20.80           N\nATOM   2925  CA  SER H 160      53.219  64.017 -38.358  1.00 22.19           C\nATOM   2926  C   SER H 160      52.408  63.692 -37.119  1.00 22.33           C\nATOM   2927  O   SER H 160      52.724  62.759 -36.390  1.00 25.03           O\nATOM   2928  CB  SER H 160      54.240  65.105 -38.016  1.00 22.18           C\nATOM   2929  OG  SER H 160      53.663  66.405 -38.119  1.00 23.98           O\nATOM   2930  N   SER H 161      51.399  64.509 -36.840  1.00 23.21           N\nATOM   2931  CA  SER H 161      50.556  64.267 -35.685  1.00 20.99           C\nATOM   2932  C   SER H 161      49.647  63.116 -36.074  1.00 18.48           C\nATOM   2933  O   SER H 161      49.287  62.963 -37.249  1.00 21.07           O\nATOM   2934  CB  SER H 161      49.708  65.501 -35.365  1.00 22.97           C\nATOM   2935  OG  SER H 161      48.719  65.700 -36.365  1.00 23.95           O\nATOM   2936  N   GLY H 162      49.294  62.293 -35.102  1.00 18.02           N\nATOM   2937  CA  GLY H 162      48.411  61.180 -35.378  1.00 13.76           C\nATOM   2938  C   GLY H 162      49.059  59.908 -35.880  1.00 12.68           C\nATOM   2939  O   GLY H 162      48.339  58.946 -36.169  1.00 14.35           O\nATOM   2940  N   VAL H 163      50.389  59.886 -36.019  1.00 11.06           N\nATOM   2941  CA  VAL H 163      51.049  58.674 -36.480  1.00 10.50           C\nATOM   2942  C   VAL H 163      51.730  57.923 -35.343  1.00 13.04           C\nATOM   2943  O   VAL H 163      52.202  58.522 -34.378  1.00 12.89           O\nATOM   2944  CB  VAL H 163      52.010  58.892 -37.710  1.00 12.39           C\nATOM   2945  CG1 VAL H 163      52.208  60.322 -37.992  1.00  9.69           C\nATOM   2946  CG2 VAL H 163      53.349  58.143 -37.531  1.00 11.79           C\nATOM   2947  N   HIS H 164      51.643  56.596 -35.426  1.00 12.23           N\nATOM   2948  CA  HIS H 164      52.258  55.692 -34.482  1.00 11.78           C\nATOM   2949  C   HIS H 164      53.090  54.675 -35.256  1.00 11.25           C\nATOM   2950  O   HIS H 164      52.567  53.873 -36.034  1.00 12.11           O\nATOM   2951  CB  HIS H 164      51.201  54.935 -33.661  1.00  9.58           C\nATOM   2952  CG  HIS H 164      50.336  55.830 -32.833  1.00  8.45           C\nATOM   2953  ND1 HIS H 164      50.760  56.389 -31.648  1.00  9.78           N\nATOM   2954  CD2 HIS H 164      49.080  56.291 -33.035  1.00 13.55           C\nATOM   2955  CE1 HIS H 164      49.814  57.166 -31.165  1.00 12.53           C\nATOM   2956  NE2 HIS H 164      48.785  57.126 -31.984  1.00 14.80           N\nATOM   2957  N   THR H 165      54.386  54.692 -35.019  1.00  9.34           N\nATOM   2958  CA  THR H 165      55.259  53.738 -35.670  1.00  7.89           C\nATOM   2959  C   THR H 165      55.817  52.863 -34.555  1.00  7.25           C\nATOM   2960  O   THR H 165      56.512  53.321 -33.676  1.00 12.37           O\nATOM   2961  CB  THR H 165      56.326  54.492 -36.481  1.00  8.62           C\nATOM   2962  OG1 THR H 165      55.644  55.313 -37.437  1.00  8.81           O\nATOM   2963  CG2 THR H 165      57.272  53.530 -37.197  1.00  6.64           C\nATOM   2964  N   PHE H 166      55.453  51.600 -34.592  1.00  9.30           N\nATOM   2965  CA  PHE H 166      55.842  50.652 -33.577  1.00  9.88           C\nATOM   2966  C   PHE H 166      57.232  50.075 -33.685  1.00 11.05           C\nATOM   2967  O   PHE H 166      57.788  49.971 -34.783  1.00  9.51           O\nATOM   2968  CB  PHE H 166      54.771  49.556 -33.519  1.00 10.81           C\nATOM   2969  CG  PHE H 166      53.407  50.102 -33.218  1.00 11.53           C\nATOM   2970  CD1 PHE H 166      53.007  50.311 -31.907  1.00 11.85           C\nATOM   2971  CD2 PHE H 166      52.566  50.522 -34.248  1.00  9.85           C\nATOM   2972  CE1 PHE H 166      51.792  50.938 -31.625  1.00 12.52           C\nATOM   2973  CE2 PHE H 166      51.354  51.149 -33.974  1.00  8.18           C\nATOM   2974  CZ  PHE H 166      50.971  51.362 -32.664  1.00 10.62           C\nATOM   2975  N   PRO H 167      57.828  49.735 -32.521  1.00 12.76           N\nATOM   2976  CA  PRO H 167      59.096  48.995 -32.461  1.00 13.59           C\nATOM   2977  C   PRO H 167      59.033  47.750 -33.314  1.00 12.93           C\nATOM   2978  O   PRO H 167      58.003  47.083 -33.374  1.00 15.67           O\nATOM   2979  CB  PRO H 167      59.185  48.623 -30.974  1.00 15.78           C\nATOM   2980  CG  PRO H 167      58.558  49.805 -30.300  1.00 14.50           C\nATOM   2981  CD  PRO H 167      57.341  50.063 -31.167  1.00  9.83           C\nATOM   2982  N   ALA H 168      60.137  47.439 -33.984  1.00 12.44           N\nATOM   2983  CA  ALA H 168      60.207  46.253 -34.822  1.00 10.86           C\nATOM   2984  C   ALA H 168      60.367  45.008 -33.955  1.00 10.54           C\nATOM   2985  O   ALA H 168      60.806  45.097 -32.816  1.00  8.44           O\nATOM   2986  CB  ALA H 168      61.380  46.374 -35.772  1.00 10.20           C\nATOM   2987  N   VAL H 169      59.946  43.863 -34.472  1.00  8.58           N\nATOM   2988  CA  VAL H 169      60.093  42.604 -33.759  1.00 13.71           C\nATOM   2989  C   VAL H 169      60.546  41.580 -34.777  1.00 12.35           C\nATOM   2990  O   VAL H 169      60.259  41.719 -35.968  1.00 15.88           O\nATOM   2991  CB  VAL H 169      58.790  42.096 -33.102  1.00 14.59           C\nATOM   2992  CG1 VAL H 169      58.402  42.982 -31.929  1.00 19.01           C\nATOM   2993  CG2 VAL H 169      57.647  42.006 -34.134  1.00 19.10           C\nATOM   2994  N   LEU H 170      61.270  40.576 -34.306  1.00 13.90           N\nATOM   2995  CA  LEU H 170      61.777  39.525 -35.161  1.00 15.46           C\nATOM   2996  C   LEU H 170      60.767  38.426 -35.413  1.00 18.15           C\nATOM   2997  O   LEU H 170      59.983  38.049 -34.531  1.00 16.23           O\nATOM   2998  CB  LEU H 170      63.045  38.898 -34.568  1.00 15.34           C\nATOM   2999  CG  LEU H 170      64.415  39.589 -34.715  1.00 15.60           C\nATOM   3000  CD1 LEU H 170      65.440  38.734 -34.013  1.00 18.82           C\nATOM   3001  CD2 LEU H 170      64.794  39.753 -36.201  1.00 14.31           C\nATOM   3002  N   GLN H 171      60.778  37.951 -36.650  1.00 20.54           N\nATOM   3003  CA  GLN H 171      59.948  36.857 -37.105  1.00 24.61           C\nATOM   3004  C   GLN H 171      60.933  36.038 -37.885  1.00 24.56           C\nATOM   3005  O   GLN H 171      61.203  36.338 -39.045  1.00 27.45           O\nATOM   3006  CB  GLN H 171      58.875  37.324 -38.070  1.00 26.67           C\nATOM   3007  CG  GLN H 171      57.657  37.899 -37.436  1.00 28.99           C\nATOM   3008  CD  GLN H 171      56.563  38.036 -38.442  1.00 31.44           C\nATOM   3009  OE1 GLN H 171      56.570  38.958 -39.249  1.00 34.15           O\nATOM   3010  NE2 GLN H 171      55.629  37.094 -38.440  1.00 35.79           N\nATOM   3011  N   SER H 172      61.477  35.021 -37.231  1.00 28.28           N\nATOM   3012  CA  SER H 172      62.460  34.140 -37.830  1.00 27.36           C\nATOM   3013  C   SER H 172      63.488  34.970 -38.570  1.00 25.10           C\nATOM   3014  O   SER H 172      63.330  35.259 -39.759  1.00 25.22           O\nATOM   3015  CB  SER H 172      61.793  33.129 -38.762  1.00 29.72           C\nATOM   3016  OG  SER H 172      60.973  32.236 -38.020  1.00 34.46           O\nATOM   3017  N   ASP H 173      64.442  35.486 -37.805  1.00 21.78           N\nATOM   3018  CA  ASP H 173      65.553  36.279 -38.308  1.00 22.64           C\nATOM   3019  C   ASP H 173      65.291  37.593 -39.062  1.00 18.60           C\nATOM   3020  O   ASP H 173      66.216  38.382 -39.223  1.00 21.49           O\nATOM   3021  CB  ASP H 173      66.536  35.384 -39.086  1.00 30.36           C\nATOM   3022  CG  ASP H 173      66.305  35.413 -40.605  1.00 37.07           C\nATOM   3023  OD1 ASP H 173      65.486  34.620 -41.119  1.00 41.58           O\nATOM   3024  OD2 ASP H 173      66.960  36.220 -41.291  1.00 38.28           O\nATOM   3025  N   LEU H 174      64.055  37.857 -39.486  1.00 10.09           N\nATOM   3026  CA  LEU H 174      63.745  39.094 -40.197  1.00  9.66           C\nATOM   3027  C   LEU H 174      62.802  40.004 -39.394  1.00  9.27           C\nATOM   3028  O   LEU H 174      61.997  39.527 -38.609  1.00  8.44           O\nATOM   3029  CB  LEU H 174      63.157  38.779 -41.579  1.00  8.44           C\nATOM   3030  CG  LEU H 174      64.093  38.077 -42.584  1.00  6.78           C\nATOM   3031  CD1 LEU H 174      63.357  37.718 -43.865  1.00  3.85           C\nATOM   3032  CD2 LEU H 174      65.296  38.979 -42.887  1.00  8.18           C\nATOM   3033  N   TYR H 175      62.941  41.311 -39.562  1.00  8.42           N\nATOM   3034  CA  TYR H 175      62.136  42.289 -38.846  1.00  9.91           C\nATOM   3035  C   TYR H 175      60.816  42.708 -39.481  1.00  9.83           C\nATOM   3036  O   TYR H 175      60.671  42.753 -40.700  1.00 10.74           O\nATOM   3037  CB  TYR H 175      62.948  43.549 -38.581  1.00  9.61           C\nATOM   3038  CG  TYR H 175      64.141  43.351 -37.671  1.00 11.58           C\nATOM   3039  CD1 TYR H 175      63.988  43.327 -36.280  1.00 13.58           C\nATOM   3040  CD2 TYR H 175      65.427  43.232 -38.195  1.00 13.47           C\nATOM   3041  CE1 TYR H 175      65.096  43.195 -35.435  1.00 12.25           C\nATOM   3042  CE2 TYR H 175      66.535  43.096 -37.362  1.00 12.23           C\nATOM   3043  CZ  TYR H 175      66.370  43.081 -35.984  1.00 13.58           C\nATOM   3044  OH  TYR H 175      67.475  42.979 -35.164  1.00 16.42           O\nATOM   3045  N   THR H 176      59.894  43.120 -38.618  1.00 10.29           N\nATOM   3046  CA  THR H 176      58.583  43.589 -39.039  1.00  8.74           C\nATOM   3047  C   THR H 176      58.065  44.656 -38.089  1.00 10.86           C\nATOM   3048  O   THR H 176      58.225  44.553 -36.870  1.00 11.42           O\nATOM   3049  CB  THR H 176      57.514  42.483 -39.003  1.00  8.18           C\nATOM   3050  OG1 THR H 176      57.981  41.323 -39.683  1.00 16.13           O\nATOM   3051  CG2 THR H 176      56.250  42.972 -39.678  1.00  5.92           C\nATOM   3052  N   LEU H 177      57.447  45.686 -38.656  1.00  7.59           N\nATOM   3053  CA  LEU H 177      56.851  46.730 -37.858  1.00  5.40           C\nATOM   3054  C   LEU H 177      55.728  47.285 -38.689  1.00  6.85           C\nATOM   3055  O   LEU H 177      55.688  47.094 -39.907  1.00  6.30           O\nATOM   3056  CB  LEU H 177      57.854  47.843 -37.501  1.00  5.34           C\nATOM   3057  CG  LEU H 177      58.477  48.806 -38.504  1.00  6.00           C\nATOM   3058  CD1 LEU H 177      57.456  49.822 -39.017  1.00  7.11           C\nATOM   3059  CD2 LEU H 177      59.560  49.585 -37.781  1.00  2.86           C\nATOM   3060  N   SER H 178      54.867  48.052 -38.031  1.00  8.82           N\nATOM   3061  CA  SER H 178      53.748  48.702 -38.696  1.00  4.51           C\nATOM   3062  C   SER H 178      53.704  50.147 -38.278  1.00  2.00           C\nATOM   3063  O   SER H 178      54.227  50.525 -37.243  1.00  2.00           O\nATOM   3064  CB  SER H 178      52.415  48.045 -38.336  1.00  8.24           C\nATOM   3065  OG  SER H 178      52.143  46.945 -39.184  1.00 12.98           O\nATOM   3066  N   SER H 179      53.073  50.967 -39.091  1.00  3.60           N\nATOM   3067  CA  SER H 179      52.902  52.363 -38.761  1.00  5.25           C\nATOM   3068  C   SER H 179      51.443  52.675 -39.085  1.00  6.61           C\nATOM   3069  O   SER H 179      50.909  52.174 -40.071  1.00  8.40           O\nATOM   3070  CB  SER H 179      53.821  53.265 -39.576  1.00  2.96           C\nATOM   3071  OG  SER H 179      53.633  54.624 -39.207  1.00  7.60           O\nATOM   3072  N   SER H 180      50.774  53.394 -38.184  1.00 10.81           N\nATOM   3073  CA  SER H 180      49.376  53.803 -38.391  1.00  7.76           C\nATOM   3074  C   SER H 180      49.327  55.323 -38.427  1.00  7.76           C\nATOM   3075  O   SER H 180      50.147  56.005 -37.820  1.00  9.76           O\nATOM   3076  CB  SER H 180      48.497  53.330 -37.224  1.00  9.41           C\nATOM   3077  OG  SER H 180      48.733  54.123 -36.071  1.00 11.99           O\nATOM   3078  N   VAL H 181      48.373  55.860 -39.173  1.00  5.50           N\nATOM   3079  CA  VAL H 181      48.197  57.294 -39.232  1.00  5.88           C\nATOM   3080  C   VAL H 181      46.684  57.502 -39.134  1.00  6.38           C\nATOM   3081  O   VAL H 181      45.891  56.712 -39.685  1.00  5.27           O\nATOM   3082  CB  VAL H 181      48.766  57.940 -40.548  1.00  6.09           C\nATOM   3083  CG1 VAL H 181      48.025  57.462 -41.776  1.00  8.54           C\nATOM   3084  CG2 VAL H 181      48.732  59.458 -40.463  1.00  5.15           C\nATOM   3085  N   THR H 182      46.286  58.542 -38.420  1.00  9.16           N\nATOM   3086  CA  THR H 182      44.872  58.841 -38.248  1.00 10.40           C\nATOM   3087  C   THR H 182      44.615  60.240 -38.755  1.00  9.48           C\nATOM   3088  O   THR H 182      45.284  61.186 -38.354  1.00 10.89           O\nATOM   3089  CB  THR H 182      44.456  58.690 -36.751  1.00  8.59           C\nATOM   3090  OG1 THR H 182      44.532  57.306 -36.383  1.00 10.06           O\nATOM   3091  CG2 THR H 182      43.030  59.192 -36.520  1.00  8.96           C\nATOM   3092  N   VAL H 183      43.663  60.354 -39.685  1.00 11.98           N\nATOM   3093  CA  VAL H 183      43.308  61.645 -40.301  1.00 11.95           C\nATOM   3094  C   VAL H 183      41.781  61.839 -40.274  1.00 12.00           C\nATOM   3095  O   VAL H 183      41.026  60.879 -40.100  1.00  9.73           O\nATOM   3096  CB  VAL H 183      43.804  61.716 -41.798  1.00 12.05           C\nATOM   3097  CG1 VAL H 183      45.319  61.570 -41.876  1.00 13.01           C\nATOM   3098  CG2 VAL H 183      43.148  60.625 -42.644  1.00  8.11           C\nATOM   3099  N   PRO H 184      41.294  63.070 -40.488  1.00 15.48           N\nATOM   3100  CA  PRO H 184      39.825  63.194 -40.527  1.00 18.01           C\nATOM   3101  C   PRO H 184      39.181  62.425 -41.684  1.00 17.57           C\nATOM   3102  O   PRO H 184      39.668  62.454 -42.807  1.00 19.08           O\nATOM   3103  CB  PRO H 184      39.600  64.715 -40.692  1.00 17.89           C\nATOM   3104  CG  PRO H 184      40.855  65.349 -40.126  1.00 17.81           C\nATOM   3105  CD  PRO H 184      41.940  64.389 -40.634  1.00 16.74           C\nATOM   3106  N   SER H 185      38.074  61.764 -41.386  1.00 21.25           N\nATOM   3107  CA  SER H 185      37.300  60.982 -42.353  1.00 24.72           C\nATOM   3108  C   SER H 185      37.018  61.735 -43.657  1.00 25.85           C\nATOM   3109  O   SER H 185      37.044  61.158 -44.749  1.00 25.15           O\nATOM   3110  CB  SER H 185      35.968  60.589 -41.714  1.00 28.10           C\nATOM   3111  OG  SER H 185      35.369  59.497 -42.377  1.00 36.89           O\nATOM   3112  N   SER H 186      36.745  63.031 -43.545  1.00 26.58           N\nATOM   3113  CA  SER H 186      36.450  63.841 -44.722  1.00 29.60           C\nATOM   3114  C   SER H 186      37.642  64.103 -45.645  1.00 30.36           C\nATOM   3115  O   SER H 186      37.455  64.373 -46.833  1.00 33.04           O\nATOM   3116  CB  SER H 186      35.803  65.170 -44.310  1.00 29.83           C\nATOM   3117  OG  SER H 186      36.630  65.886 -43.414  1.00 29.81           O\nATOM   3118  N   THR H 187      38.853  64.026 -45.094  1.00 27.19           N\nATOM   3119  CA  THR H 187      40.076  64.257 -45.864  1.00 24.86           C\nATOM   3120  C   THR H 187      40.631  63.037 -46.593  1.00 23.30           C\nATOM   3121  O   THR H 187      41.632  63.151 -47.309  1.00 20.78           O\nATOM   3122  CB  THR H 187      41.195  64.792 -44.981  1.00 23.84           C\nATOM   3123  OG1 THR H 187      41.689  63.737 -44.153  1.00 19.80           O\nATOM   3124  CG2 THR H 187      40.692  65.942 -44.129  1.00 24.56           C\nATOM   3125  N   TRP H 188      40.088  61.857 -46.316  1.00 22.43           N\nATOM   3126  CA  TRP H 188      40.546  60.652 -46.998  1.00 20.00           C\nATOM   3127  C   TRP H 188      39.336  59.860 -47.403  1.00 20.47           C\nATOM   3128  O   TRP H 188      38.571  59.444 -46.544  1.00 22.14           O\nATOM   3129  CB  TRP H 188      41.420  59.770 -46.083  1.00 20.10           C\nATOM   3130  CG  TRP H 188      41.975  58.584 -46.816  1.00 18.92           C\nATOM   3131  CD1 TRP H 188      43.067  58.580 -47.633  1.00 15.07           C\nATOM   3132  CD2 TRP H 188      41.394  57.260 -46.928  1.00 20.50           C\nATOM   3133  NE1 TRP H 188      43.190  57.362 -48.256  1.00 19.46           N\nATOM   3134  CE2 TRP H 188      42.174  56.536 -47.843  1.00 17.18           C\nATOM   3135  CE3 TRP H 188      40.276  56.641 -46.341  1.00 20.37           C\nATOM   3136  CZ2 TRP H 188      41.887  55.208 -48.201  1.00 18.20           C\nATOM   3137  CZ3 TRP H 188      39.986  55.323 -46.700  1.00 22.48           C\nATOM   3138  CH2 TRP H 188      40.793  54.620 -47.619  1.00 20.20           C\nATOM   3139  N   PRO H 189      39.196  59.536 -48.697  1.00 18.43           N\nATOM   3140  CA  PRO H 189      40.239  59.518 -49.722  1.00 19.21           C\nATOM   3141  C   PRO H 189      40.305  60.710 -50.651  1.00 20.14           C\nATOM   3142  O   PRO H 189      41.028  60.667 -51.642  1.00 22.79           O\nATOM   3143  CB  PRO H 189      39.906  58.255 -50.500  1.00 19.11           C\nATOM   3144  CG  PRO H 189      38.416  58.304 -50.534  1.00 19.71           C\nATOM   3145  CD  PRO H 189      38.063  58.692 -49.114  1.00 19.91           C\nATOM   3146  N   SER H 190      39.595  61.783 -50.340  1.00 21.96           N\nATOM   3147  CA  SER H 190      39.617  62.961 -51.207  1.00 22.62           C\nATOM   3148  C   SER H 190      41.025  63.526 -51.312  1.00 22.33           C\nATOM   3149  O   SER H 190      41.348  64.209 -52.266  1.00 26.02           O\nATOM   3150  CB  SER H 190      38.669  64.047 -50.685  1.00 25.76           C\nATOM   3151  OG  SER H 190      38.994  64.454 -49.360  1.00 24.90           O\nATOM   3152  N   GLU H 191      41.843  63.274 -50.299  1.00 22.74           N\nATOM   3153  CA  GLU H 191      43.223  63.743 -50.280  1.00 24.70           C\nATOM   3154  C   GLU H 191      44.111  62.517 -50.077  1.00 24.12           C\nATOM   3155  O   GLU H 191      43.868  61.703 -49.188  1.00 23.01           O\nATOM   3156  CB  GLU H 191      43.442  64.740 -49.152  1.00 26.89           C\nATOM   3157  CG  GLU H 191      42.587  66.002 -49.236  1.00 32.23           C\nATOM   3158  CD  GLU H 191      42.881  66.983 -48.097  1.00 36.88           C\nATOM   3159  OE1 GLU H 191      44.070  67.147 -47.734  1.00 36.51           O\nATOM   3160  OE2 GLU H 191      41.919  67.590 -47.564  1.00 41.04           O\nATOM   3161  N   THR H 192      45.129  62.401 -50.918  1.00 22.74           N\nATOM   3162  CA  THR H 192      46.054  61.273 -50.894  1.00 19.32           C\nATOM   3163  C   THR H 192      46.813  61.073 -49.581  1.00 13.24           C\nATOM   3164  O   THR H 192      47.134  62.026 -48.882  1.00 13.02           O\nATOM   3165  CB  THR H 192      47.054  61.415 -52.071  1.00 22.79           C\nATOM   3166  OG1 THR H 192      46.319  61.488 -53.306  1.00 28.24           O\nATOM   3167  CG2 THR H 192      47.989  60.223 -52.147  1.00 28.07           C\nATOM   3168  N   VAL H 193      46.997  59.817 -49.200  1.00 10.80           N\nATOM   3169  CA  VAL H 193      47.763  59.468 -48.008  1.00  9.36           C\nATOM   3170  C   VAL H 193      48.740  58.365 -48.441  1.00  9.71           C\nATOM   3171  O   VAL H 193      48.341  57.293 -48.880  1.00  7.15           O\nATOM   3172  CB  VAL H 193      46.891  58.995 -46.816  1.00  8.39           C\nATOM   3173  CG1 VAL H 193      47.789  58.473 -45.700  1.00  5.39           C\nATOM   3174  CG2 VAL H 193      46.037  60.167 -46.278  1.00  6.66           C\nATOM   3175  N   THR H 194      50.027  58.686 -48.371  1.00  8.75           N\nATOM   3176  CA  THR H 194      51.091  57.773 -48.773  1.00  8.87           C\nATOM   3177  C   THR H 194      52.095  57.590 -47.655  1.00  8.77           C\nATOM   3178  O   THR H 194      52.448  58.568 -47.015  1.00  6.19           O\nATOM   3179  CB  THR H 194      51.845  58.402 -49.969  1.00  9.59           C\nATOM   3180  OG1 THR H 194      50.909  58.686 -51.007  1.00 13.79           O\nATOM   3181  CG2 THR H 194      52.902  57.474 -50.496  1.00 10.96           C\nATOM   3182  N   CYS H 195      52.521  56.344 -47.409  1.00  8.04           N\nATOM   3183  CA  CYS H 195      53.550  56.093 -46.404  1.00 10.78           C\nATOM   3184  C   CYS H 195      54.855  55.934 -47.160  1.00 11.05           C\nATOM   3185  O   CYS H 195      54.914  55.235 -48.171  1.00 11.43           O\nATOM   3186  CB  CYS H 195      53.292  54.841 -45.585  1.00 10.33           C\nATOM   3187  SG  CYS H 195      53.472  53.274 -46.472  1.00  9.30           S\nATOM   3188  N   ASN H 196      55.892  56.599 -46.664  1.00 11.43           N\nATOM   3189  CA  ASN H 196      57.218  56.559 -47.266  1.00 10.64           C\nATOM   3190  C   ASN H 196      58.132  55.760 -46.341  1.00 10.08           C\nATOM   3191  O   ASN H 196      58.400  56.176 -45.212  1.00 15.05           O\nATOM   3192  CB  ASN H 196      57.771  57.974 -47.446  1.00  9.39           C\nATOM   3193  CG  ASN H 196      56.690  58.991 -47.808  1.00  8.93           C\nATOM   3194  OD1 ASN H 196      56.261  59.772 -46.967  1.00 12.46           O\nATOM   3195  ND2 ASN H 196      56.268  59.000 -49.060  1.00 10.12           N\nATOM   3196  N   VAL H 197      58.594  54.610 -46.827  1.00 11.08           N\nATOM   3197  CA  VAL H 197      59.468  53.732 -46.071  1.00  6.05           C\nATOM   3198  C   VAL H 197      60.869  53.712 -46.668  1.00  9.25           C\nATOM   3199  O   VAL H 197      61.046  53.490 -47.874  1.00  6.94           O\nATOM   3200  CB  VAL H 197      58.930  52.293 -46.065  1.00  6.28           C\nATOM   3201  CG1 VAL H 197      59.813  51.435 -45.159  1.00  3.38           C\nATOM   3202  CG2 VAL H 197      57.483  52.267 -45.588  1.00  3.72           C\nATOM   3203  N   ALA H 198      61.864  53.846 -45.798  1.00  8.60           N\nATOM   3204  CA  ALA H 198      63.256  53.865 -46.231  1.00  6.26           C\nATOM   3205  C   ALA H 198      64.030  52.855 -45.412  1.00  7.55           C\nATOM   3206  O   ALA H 198      63.800  52.713 -44.211  1.00  6.75           O\nATOM   3207  CB  ALA H 198      63.858  55.272 -46.080  1.00  3.12           C\nATOM   3208  N   HIS H 199      64.958  52.163 -46.077  1.00  8.45           N\nATOM   3209  CA  HIS H 199      65.786  51.161 -45.448  1.00  3.74           C\nATOM   3210  C   HIS H 199      67.193  51.384 -45.967  1.00  7.32           C\nATOM   3211  O   HIS H 199      67.546  50.915 -47.042  1.00  5.61           O\nATOM   3212  CB  HIS H 199      65.323  49.779 -45.855  1.00  2.00           C\nATOM   3213  CG  HIS H 199      66.034  48.663 -45.164  1.00  2.00           C\nATOM   3214  ND1 HIS H 199      66.590  47.600 -45.831  1.00  6.40           N\nATOM   3215  CD2 HIS H 199      66.223  48.404 -43.838  1.00  8.11           C\nATOM   3216  CE1 HIS H 199      67.084  46.732 -44.972  1.00  7.90           C\nATOM   3217  NE2 HIS H 199      66.876  47.200 -43.753  1.00 12.97           N\nATOM   3218  N   PRO H 200      67.971  52.207 -45.243  1.00 10.27           N\nATOM   3219  CA  PRO H 200      69.281  52.664 -45.712  1.00 13.73           C\nATOM   3220  C   PRO H 200      70.244  51.506 -45.973  1.00 13.24           C\nATOM   3221  O   PRO H 200      71.029  51.547 -46.929  1.00 15.65           O\nATOM   3222  CB  PRO H 200      69.750  53.566 -44.564  1.00 11.86           C\nATOM   3223  CG  PRO H 200      68.428  54.116 -44.003  1.00 11.68           C\nATOM   3224  CD  PRO H 200      67.599  52.859 -43.975  1.00 10.87           C\nATOM   3225  N   ALA H 201      70.163  50.464 -45.145  1.00 11.91           N\nATOM   3226  CA  ALA H 201      71.043  49.300 -45.299  1.00 10.16           C\nATOM   3227  C   ALA H 201      70.948  48.659 -46.683  1.00  9.50           C\nATOM   3228  O   ALA H 201      71.934  48.162 -47.201  1.00  8.95           O\nATOM   3229  CB  ALA H 201      70.767  48.268 -44.221  1.00  8.23           C\nATOM   3230  N   SER H 202      69.744  48.598 -47.251  1.00  8.07           N\nATOM   3231  CA  SER H 202      69.554  48.032 -48.582  1.00  6.34           C\nATOM   3232  C   SER H 202      69.381  49.085 -49.690  1.00  7.56           C\nATOM   3233  O   SER H 202      69.044  48.736 -50.831  1.00 11.08           O\nATOM   3234  CB  SER H 202      68.359  47.080 -48.589  1.00  6.77           C\nATOM   3235  OG  SER H 202      67.152  47.813 -48.468  1.00  7.16           O\nATOM   3236  N   SER H 203      69.577  50.358 -49.350  1.00  7.90           N\nATOM   3237  CA  SER H 203      69.456  51.470 -50.288  1.00  8.81           C\nATOM   3238  C   SER H 203      68.122  51.428 -51.027  1.00  8.92           C\nATOM   3239  O   SER H 203      68.054  51.551 -52.250  1.00  7.86           O\nATOM   3240  CB  SER H 203      70.633  51.443 -51.259  1.00 14.05           C\nATOM   3241  OG  SER H 203      71.826  51.718 -50.551  1.00 19.06           O\nATOM   3242  N   THR H 204      67.061  51.242 -50.248  1.00 10.82           N\nATOM   3243  CA  THR H 204      65.701  51.142 -50.775  1.00  9.93           C\nATOM   3244  C   THR H 204      64.792  52.192 -50.167  1.00  6.70           C\nATOM   3245  O   THR H 204      64.920  52.519 -48.979  1.00  2.00           O\nATOM   3246  CB  THR H 204      65.077  49.769 -50.398  1.00 12.95           C\nATOM   3247  OG1 THR H 204      65.949  48.709 -50.813  1.00 16.28           O\nATOM   3248  CG2 THR H 204      63.725  49.589 -51.060  1.00 12.83           C\nATOM   3249  N   LYS H 205      63.909  52.727 -51.008  1.00  7.51           N\nATOM   3250  CA  LYS H 205      62.874  53.678 -50.608  1.00  5.87           C\nATOM   3251  C   LYS H 205      61.603  53.165 -51.312  1.00  9.13           C\nATOM   3252  O   LYS H 205      61.641  52.826 -52.496  1.00  9.03           O\nATOM   3253  CB  LYS H 205      63.192  55.103 -51.057  1.00  9.36           C\nATOM   3254  CG  LYS H 205      64.077  55.874 -50.109  1.00  6.79           C\nATOM   3255  CD  LYS H 205      64.662  57.117 -50.802  1.00 19.19           C\nATOM   3256  CE  LYS H 205      65.335  58.097 -49.844  1.00 20.44           C\nATOM   3257  NZ  LYS H 205      66.256  57.426 -48.894  1.00 29.36           N\nATOM   3258  N   VAL H 206      60.513  53.018 -50.561  1.00  7.31           N\nATOM   3259  CA  VAL H 206      59.238  52.544 -51.106  1.00  8.62           C\nATOM   3260  C   VAL H 206      58.088  53.469 -50.662  1.00 12.78           C\nATOM   3261  O   VAL H 206      57.968  53.770 -49.472  1.00 10.26           O\nATOM   3262  CB  VAL H 206      58.895  51.130 -50.601  1.00  9.86           C\nATOM   3263  CG1 VAL H 206      57.518  50.693 -51.139  1.00  6.37           C\nATOM   3264  CG2 VAL H 206      59.960  50.144 -51.032  1.00  7.29           C\nATOM   3265  N   ASP H 207      57.278  53.943 -51.610  1.00 11.98           N\nATOM   3266  CA  ASP H 207      56.121  54.787 -51.289  1.00 13.70           C\nATOM   3267  C   ASP H 207      54.885  53.980 -51.643  1.00 12.95           C\nATOM   3268  O   ASP H 207      54.750  53.522 -52.782  1.00 12.27           O\nATOM   3269  CB  ASP H 207      56.089  56.070 -52.123  1.00 15.32           C\nATOM   3270  CG  ASP H 207      57.222  57.018 -51.805  1.00 17.49           C\nATOM   3271  OD1 ASP H 207      57.596  57.171 -50.638  1.00 17.85           O\nATOM   3272  OD2 ASP H 207      57.753  57.618 -52.754  1.00 23.54           O\nATOM   3273  N   LYS H 208      54.002  53.794 -50.668  1.00 13.14           N\nATOM   3274  CA  LYS H 208      52.762  53.064 -50.883  1.00 13.14           C\nATOM   3275  C   LYS H 208      51.601  54.024 -50.658  1.00 13.48           C\nATOM   3276  O   LYS H 208      51.457  54.556 -49.572  1.00 10.46           O\nATOM   3277  CB  LYS H 208      52.617  51.896 -49.899  1.00 11.30           C\nATOM   3278  CG  LYS H 208      53.568  50.736 -50.096  1.00 21.60           C\nATOM   3279  CD  LYS H 208      53.424  50.089 -51.438  1.00 24.91           C\nATOM   3280  CE  LYS H 208      52.040  49.527 -51.633  1.00 27.36           C\nATOM   3281  NZ  LYS H 208      52.037  48.671 -52.851  1.00 26.01           N\nATOM   3282  N   LYS H 209      50.801  54.268 -51.694  1.00 14.49           N\nATOM   3283  CA  LYS H 209      49.637  55.154 -51.581  1.00 16.06           C\nATOM   3284  C   LYS H 209      48.485  54.290 -51.098  1.00 15.16           C\nATOM   3285  O   LYS H 209      48.235  53.228 -51.653  1.00 17.12           O\nATOM   3286  CB  LYS H 209      49.304  55.761 -52.947  1.00 18.11           C\nATOM   3287  CG  LYS H 209      48.088  56.684 -52.979  1.00 21.50           C\nATOM   3288  CD  LYS H 209      47.832  57.173 -54.399  1.00 24.85           C\nATOM   3289  CE  LYS H 209      46.528  57.956 -54.508  1.00 29.11           C\nATOM   3290  NZ  LYS H 209      46.286  58.483 -55.890  1.00 30.67           N\nATOM   3291  N   ILE H 210      47.812  54.709 -50.036  1.00 14.52           N\nATOM   3292  CA  ILE H 210      46.690  53.925 -49.516  1.00 14.23           C\nATOM   3293  C   ILE H 210      45.403  54.255 -50.290  1.00 14.75           C\nATOM   3294  O   ILE H 210      44.960  55.407 -50.310  1.00 15.22           O\nATOM   3295  CB  ILE H 210      46.449  54.191 -48.007  1.00 15.45           C\nATOM   3296  CG1 ILE H 210      47.774  54.196 -47.238  1.00 12.02           C\nATOM   3297  CG2 ILE H 210      45.521  53.116 -47.427  1.00  9.31           C\nATOM   3298  CD1 ILE H 210      48.451  52.853 -47.189  1.00 14.34           C\nATOM   3299  N   VAL H 211      44.844  53.261 -50.968  1.00 17.25           N\nATOM   3300  CA  VAL H 211      43.620  53.463 -51.713  1.00 18.63           C\nATOM   3301  C   VAL H 211      42.544  52.561 -51.136  1.00 18.88           C\nATOM   3302  O   VAL H 211      42.838  51.515 -50.557  1.00 17.03           O\nATOM   3303  CB  VAL H 211      43.763  53.172 -53.229  1.00 15.74           C\nATOM   3304  CG1 VAL H 211      44.596  54.243 -53.897  1.00 20.94           C\nATOM   3305  CG2 VAL H 211      44.346  51.795 -53.455  1.00 18.59           C\nATOM   3306  N   PRO H 212      41.278  52.984 -51.259  1.00 23.65           N\nATOM   3307  CA  PRO H 212      40.103  52.266 -50.747  1.00 26.29           C\nATOM   3308  C   PRO H 212      39.993  50.862 -51.309  1.00 28.92           C\nATOM   3309  O   PRO H 212      40.295  50.651 -52.477  1.00 29.82           O\nATOM   3310  CB  PRO H 212      38.945  53.123 -51.240  1.00 26.85           C\nATOM   3311  CG  PRO H 212      39.531  54.510 -51.262  1.00 27.11           C\nATOM   3312  CD  PRO H 212      40.885  54.265 -51.878  1.00 22.84           C\nATOM   3313  N   ARG H 213      39.508  49.944 -50.462  1.00 34.88           N\nATOM   3314  CA  ARG H 213      39.301  48.501 -50.729  1.00 41.42           C\nATOM   3315  C   ARG H 213      40.345  47.645 -50.001  1.00 45.21           C\nATOM   3316  O   ARG H 213      40.582  47.871 -48.811  1.00 47.43           O\nATOM   3317  CB  ARG H 213      39.238  48.158 -52.232  1.00 42.94           C\nATOM   3318  CG  ARG H 213      37.840  48.178 -52.856  1.00 48.12           C\nATOM   3319  CD  ARG H 213      37.000  46.945 -52.478  1.00 52.84           C\nATOM   3320  NE  ARG H 213      36.504  46.994 -51.099  1.00 57.12           N\nATOM   3321  CZ  ARG H 213      36.000  45.948 -50.441  1.00 58.54           C\nATOM   3322  NH1 ARG H 213      35.908  44.756 -51.030  1.00 58.99           N\nATOM   3323  NH2 ARG H 213      35.630  46.085 -49.172  1.00 56.25           N\nATOM   3324  N   ASP H 214      40.935  46.652 -50.680  1.00 47.98           N\nATOM   3325  CA  ASP H 214      41.953  45.766 -50.077  1.00 49.75           C\nATOM   3326  C   ASP H 214      43.153  45.469 -51.018  1.00 50.89           C\nATOM   3327  O   ASP H 214      44.296  45.865 -50.679  1.00 51.68           O\nATOM   3328  CB  ASP H 214      41.332  44.409 -49.657  1.00 49.10           C\nATOM   3329  CG  ASP H 214      40.373  44.511 -48.458  1.00 47.86           C\nATOM   3330  OD1 ASP H 214      40.284  45.563 -47.764  1.00 42.54           O\nATOM   3331  OD2 ASP H 214      39.704  43.486 -48.212  1.00 45.71           O\nATOM   3332  OXT ASP H 214      42.946  44.784 -52.048  1.00 51.08           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.244",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.404",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.756",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.877",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-12E8-DS-7-21",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain H of PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "12E8-21-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM   1702  N   SER H   7      81.583  53.514 -27.400  1.00  9.74           N\nATOM   1703  CA  SER H   7      81.487  53.510 -28.853  1.00 10.46           C\nATOM   1704  C   SER H   7      80.054  53.260 -29.353  1.00 13.43           C\nATOM   1705  O   SER H   7      79.210  52.782 -28.596  1.00  8.84           O\nATOM   1706  CB  SER H   7      82.506  52.515 -29.431  1.00  7.97           C\nATOM   1707  OG  SER H   7      82.375  51.251 -28.805  1.00 11.22           O\nATOM   1717  N   GLU H  10      76.607  48.413 -32.758  1.00 13.50           N\nATOM   1718  CA  GLU H  10      77.140  47.530 -33.789  1.00 11.18           C\nATOM   1719  C   GLU H  10      76.133  46.452 -34.159  1.00 10.44           C\nATOM   1720  O   GLU H  10      75.451  45.911 -33.281  1.00  6.48           O\nATOM   1721  CB  GLU H  10      78.382  46.804 -33.251  1.00 18.75           C\nATOM   1722  CG  GLU H  10      79.423  47.672 -32.546  1.00 22.69           C\nATOM   1723  CD  GLU H  10      80.528  48.123 -33.459  1.00 28.30           C\nATOM   1724  OE1 GLU H  10      80.339  48.082 -34.692  1.00 31.13           O\nATOM   1725  OE2 GLU H  10      81.587  48.538 -32.931  1.00 36.25           O\nATOM   1796  N   SER H  21      84.643  50.066 -27.036  1.00 10.25           N\nATOM   1797  CA  SER H  21      85.521  50.978 -26.323  1.00 11.52           C\nATOM   1798  C   SER H  21      84.765  51.836 -25.323  1.00 10.61           C\nATOM   1799  O   SER H  21      83.565  52.092 -25.453  1.00 10.48           O\nATOM   1800  CB  SER H  21      86.324  51.839 -27.299  1.00 11.12           C\nATOM   1801  OG  SER H  21      85.501  52.750 -27.994  1.00 17.90           O\nATOM   1906  N   HIS H  35      84.358  48.190 -14.728  1.00  4.42           N\nATOM   1907  CA  HIS H  35      83.512  46.999 -14.841  1.00  2.79           C\nATOM   1908  C   HIS H  35      82.630  47.080 -16.052  1.00  2.00           C\nATOM   1909  O   HIS H  35      82.297  48.158 -16.518  1.00  4.06           O\nATOM   1910  CB  HIS H  35      82.597  46.836 -13.608  1.00  7.31           C\nATOM   1911  CG  HIS H  35      83.322  46.852 -12.295  1.00  5.99           C\nATOM   1912  ND1 HIS H  35      83.226  45.824 -11.379  1.00  7.79           N\nATOM   1913  CD2 HIS H  35      84.100  47.800 -11.718  1.00  7.18           C\nATOM   1914  CE1 HIS H  35      83.914  46.135 -10.305  1.00  7.50           C\nATOM   1915  NE2 HIS H  35      84.448  47.318 -10.481  1.00  5.11           N\nATOM   2012  N   TRP H  47      76.380  41.512 -14.337  1.00  8.62           N\nATOM   2013  CA  TRP H  47      77.788  41.860 -14.250  1.00 10.84           C\nATOM   2014  C   TRP H  47      78.645  40.880 -15.057  1.00 10.28           C\nATOM   2015  O   TRP H  47      78.408  39.676 -15.024  1.00 13.06           O\nATOM   2016  CB  TRP H  47      78.158  41.871 -12.760  1.00 10.91           C\nATOM   2017  CG  TRP H  47      79.521  42.318 -12.403  1.00  9.62           C\nATOM   2018  CD1 TRP H  47      80.027  43.590 -12.482  1.00  9.55           C\nATOM   2019  CD2 TRP H  47      80.542  41.517 -11.801  1.00 14.97           C\nATOM   2020  NE1 TRP H  47      81.300  43.621 -11.962  1.00 15.46           N\nATOM   2021  CE2 TRP H  47      81.641  42.364 -11.533  1.00 16.86           C\nATOM   2022  CE3 TRP H  47      80.636  40.155 -11.458  1.00 16.64           C\nATOM   2023  CZ2 TRP H  47      82.819  41.897 -10.928  1.00 19.65           C\nATOM   2024  CZ3 TRP H  47      81.814  39.693 -10.855  1.00 16.91           C\nATOM   2025  CH2 TRP H  47      82.885  40.566 -10.599  1.00 19.83           C\nATOM   2403  N   ASN H  93      81.555  50.862 -16.535  1.00  8.22           N\nATOM   2404  CA  ASN H  93      81.368  51.814 -15.472  1.00  9.95           C\nATOM   2405  C   ASN H  93      82.641  51.799 -14.633  1.00  8.01           C\nATOM   2406  O   ASN H  93      83.512  50.978 -14.884  1.00 10.83           O\nATOM   2407  CB  ASN H  93      80.106  51.494 -14.669  1.00 11.02           C\nATOM   2408  CG  ASN H  93      80.108  50.106 -14.119  1.00 17.21           C\nATOM   2409  OD1 ASN H  93      81.165  49.548 -13.812  1.00 20.09           O\nATOM   2410  ND2 ASN H  93      78.914  49.518 -13.973  1.00 14.88           N\nATOM   2514  N   TRP H 103      79.126  55.773 -15.083  1.00  8.35           N\nATOM   2515  CA  TRP H 103      78.689  54.812 -16.066  1.00  8.73           C\nATOM   2516  C   TRP H 103      78.760  55.414 -17.468  1.00  8.89           C\nATOM   2517  O   TRP H 103      78.524  56.616 -17.658  1.00  6.26           O\nATOM   2518  CB  TRP H 103      77.225  54.450 -15.822  1.00  4.20           C\nATOM   2519  CG  TRP H 103      76.902  53.644 -14.597  1.00  2.00           C\nATOM   2520  CD1 TRP H 103      76.890  54.064 -13.289  1.00  2.00           C\nATOM   2521  CD2 TRP H 103      76.397  52.311 -14.597  1.00  6.02           C\nATOM   2522  NE1 TRP H 103      76.390  53.062 -12.489  1.00  6.57           N\nATOM   2523  CE2 TRP H 103      76.063  51.975 -13.267  1.00  3.08           C\nATOM   2524  CE3 TRP H 103      76.161  51.362 -15.608  1.00  8.75           C\nATOM   2525  CZ2 TRP H 103      75.529  50.733 -12.911  1.00  2.00           C\nATOM   2526  CZ3 TRP H 103      75.622  50.123 -15.254  1.00  5.25           C\nATOM   2527  CH2 TRP H 103      75.302  49.833 -13.922  1.00  8.09           C\nATOM   2567  N   THR H 110      73.971  44.054 -31.704  1.00  5.44           N\nATOM   2568  CA  THR H 110      72.934  43.179 -32.265  1.00  9.16           C\nATOM   2569  C   THR H 110      73.576  42.076 -33.114  1.00  9.46           C\nATOM   2570  O   THR H 110      74.230  42.368 -34.118  1.00 10.02           O\nATOM   2571  CB  THR H 110      71.918  43.956 -33.139  1.00  7.44           C\nATOM   2572  OG1 THR H 110      71.323  45.000 -32.358  1.00 12.40           O\nATOM   2573  CG2 THR H 110      70.803  43.017 -33.603  1.00  9.36           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Ser7–Ser21"
    },
    {
     "label": "B",
     "value": "His35–Trp47"
    },
    {
     "label": "C",
     "value": "Asn93–Trp103"
    },
    {
     "label": "D",
     "value": "Glu10–Thr110"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-12E8-FD-25-1-11",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain H of PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 2.5 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.25. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "12E8-11-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM   1651  N   GLU H   1      82.740  67.478 -16.962  1.00 45.84           N\nATOM   1652  CA  GLU H   1      82.605  66.612 -15.761  1.00 43.81           C\nATOM   1653  C   GLU H   1      83.184  65.225 -16.018  1.00 40.57           C\nATOM   1654  O   GLU H   1      83.611  64.921 -17.138  1.00 40.33           O\nATOM   1655  CB  GLU H   1      81.127  66.492 -15.352  1.00 45.88           C\nATOM   1656  CG  GLU H   1      80.639  67.572 -14.376  1.00 51.13           C\nATOM   1657  CD  GLU H   1      81.177  67.391 -12.948  1.00 53.58           C\nATOM   1658  OE1 GLU H   1      80.526  66.680 -12.149  1.00 53.58           O\nATOM   1659  OE2 GLU H   1      82.238  67.975 -12.617  1.00 53.64           O\nATOM   1676  N   LEU H   4      82.258  58.844 -18.977  1.00 18.35           N\nATOM   1677  CA  LEU H   4      82.634  57.605 -19.642  1.00 16.56           C\nATOM   1678  C   LEU H   4      81.865  57.606 -20.952  1.00 15.74           C\nATOM   1679  O   LEU H   4      80.642  57.587 -20.954  1.00 16.55           O\nATOM   1680  CB  LEU H   4      82.226  56.395 -18.806  1.00 14.11           C\nATOM   1681  CG  LEU H   4      83.318  55.560 -18.129  1.00 12.35           C\nATOM   1682  CD1 LEU H   4      84.681  56.232 -18.240  1.00 11.22           C\nATOM   1683  CD2 LEU H   4      82.946  55.325 -16.679  1.00 13.84           C\nATOM   1726  N   VAL H  11      76.020  46.175 -35.454  1.00 10.91           N\nATOM   1727  CA  VAL H  11      75.177  45.095 -35.946  1.00 13.32           C\nATOM   1728  C   VAL H  11      76.220  44.124 -36.504  1.00 15.20           C\nATOM   1729  O   VAL H  11      76.903  44.431 -37.474  1.00 16.13           O\nATOM   1730  CB  VAL H  11      74.226  45.537 -37.072  1.00 14.96           C\nATOM   1731  CG1 VAL H  11      73.474  44.322 -37.623  1.00 15.19           C\nATOM   1732  CG2 VAL H  11      73.218  46.549 -36.542  1.00 15.65           C\nATOM   2458  N   ARG H 100      84.330  48.844  -2.321  1.00  8.45           N\nATOM   2459  CA  ARG H 100      83.641  47.556  -2.433  1.00  8.64           C\nATOM   2460  C   ARG H 100      82.790  47.312  -3.682  1.00  9.58           C\nATOM   2461  O   ARG H 100      82.677  46.162  -4.146  1.00  8.09           O\nATOM   2462  CB  ARG H 100      82.837  47.260  -1.154  1.00  7.04           C\nATOM   2463  CG  ARG H 100      83.712  47.007   0.066  1.00  7.07           C\nATOM   2464  CD  ARG H 100      82.905  46.833   1.353  1.00 10.47           C\nATOM   2465  NE  ARG H 100      82.160  45.573   1.405  1.00 11.15           N\nATOM   2466  CZ  ARG H 100      81.165  45.335   2.265  1.00 14.61           C\nATOM   2467  NH1 ARG H 100      80.805  46.272   3.134  1.00 12.99           N\nATOM   2468  NH2 ARG H 100      80.497  44.183   2.225  1.00  6.92           N\nATOM   2469  N   GLY H 100A     82.184  48.371  -4.219  1.00 10.81           N\nATOM   2470  CA  GLY H 100A     81.378  48.184  -5.403  1.00  9.25           C\nATOM   2471  C   GLY H 100A     80.400  49.256  -5.843  1.00  8.45           C\nATOM   2472  O   GLY H 100A     79.470  48.959  -6.606  1.00 11.83           O\nATOM   2473  N   ARG H 100B     80.553  50.472  -5.349  1.00  8.26           N\nATOM   2474  CA  ARG H 100B     79.676  51.563  -5.767  1.00 11.20           C\nATOM   2475  C   ARG H 100B     80.047  51.941  -7.205  1.00 14.58           C\nATOM   2476  O   ARG H 100B     81.232  52.047  -7.540  1.00 12.61           O\nATOM   2477  CB  ARG H 100B     79.871  52.767  -4.868  1.00 10.95           C\nATOM   2478  CG  ARG H 100B     79.518  52.542  -3.417  1.00 11.70           C\nATOM   2479  CD  ARG H 100B     80.358  53.460  -2.524  1.00 13.25           C\nATOM   2480  NE  ARG H 100B     80.134  54.869  -2.801  1.00 19.12           N\nATOM   2481  CZ  ARG H 100B     80.927  55.855  -2.395  1.00 16.91           C\nATOM   2482  NH1 ARG H 100B     82.017  55.590  -1.703  1.00 19.97           N\nATOM   2483  NH2 ARG H 100B     80.596  57.114  -2.619  1.00 20.60           N\nATOM   2484  N   PHE H 100C     79.028  52.188  -8.025  1.00 13.52           N\nATOM   2485  CA  PHE H 100C     79.238  52.546  -9.432  1.00 13.71           C\nATOM   2486  C   PHE H 100C     78.812  54.004  -9.696  1.00 15.19           C\nATOM   2487  O   PHE H 100C     77.727  54.282 -10.227  1.00 15.51           O\nATOM   2488  CB  PHE H 100C     78.444  51.612 -10.377  1.00 17.46           C\nATOM   2489  CG  PHE H 100C     78.978  50.204 -10.458  1.00 18.67           C\nATOM   2490  CD1 PHE H 100C     80.320  49.969 -10.689  1.00 14.70           C\nATOM   2491  CD2 PHE H 100C     78.115  49.110 -10.349  1.00 18.97           C\nATOM   2492  CE1 PHE H 100C     80.797  48.664 -10.799  1.00 20.40           C\nATOM   2493  CE2 PHE H 100C     78.589  47.801 -10.460  1.00 22.59           C\nATOM   2494  CZ  PHE H 100C     79.925  47.577 -10.690  1.00 17.99           C\nATOM   2804  N   TYR H 145      62.586  42.591 -43.283  1.00  7.29           N\nATOM   2805  CA  TYR H 145      63.840  43.271 -43.552  1.00  5.35           C\nATOM   2806  C   TYR H 145      64.915  43.020 -42.486  1.00  5.68           C\nATOM   2807  O   TYR H 145      64.634  42.568 -41.372  1.00  8.01           O\nATOM   2808  CB  TYR H 145      63.590  44.768 -43.699  1.00  2.92           C\nATOM   2809  CG  TYR H 145      63.137  45.454 -42.424  1.00  7.18           C\nATOM   2810  CD1 TYR H 145      61.791  45.489 -42.069  1.00  4.62           C\nATOM   2811  CD2 TYR H 145      64.060  46.049 -41.568  1.00  2.00           C\nATOM   2812  CE1 TYR H 145      61.375  46.088 -40.905  1.00  3.92           C\nATOM   2813  CE2 TYR H 145      63.642  46.657 -40.398  1.00  6.47           C\nATOM   2814  CZ  TYR H 145      62.301  46.658 -40.070  1.00  3.99           C\nATOM   2815  OH  TYR H 145      61.900  47.187 -38.870  1.00  6.85           O\nATOM   2994  N   LEU H 170      61.270  40.576 -34.306  1.00 13.90           N\nATOM   2995  CA  LEU H 170      61.777  39.525 -35.161  1.00 15.46           C\nATOM   2996  C   LEU H 170      60.767  38.426 -35.413  1.00 18.15           C\nATOM   2997  O   LEU H 170      59.983  38.049 -34.531  1.00 16.23           O\nATOM   2998  CB  LEU H 170      63.045  38.898 -34.568  1.00 15.34           C\nATOM   2999  CG  LEU H 170      64.415  39.589 -34.715  1.00 15.60           C\nATOM   3000  CD1 LEU H 170      65.440  38.734 -34.013  1.00 18.82           C\nATOM   3001  CD2 LEU H 170      64.794  39.753 -36.201  1.00 14.31           C\nATOM   3066  N   SER H 179      53.073  50.967 -39.091  1.00  3.60           N\nATOM   3067  CA  SER H 179      52.902  52.363 -38.761  1.00  5.25           C\nATOM   3068  C   SER H 179      51.443  52.675 -39.085  1.00  6.61           C\nATOM   3069  O   SER H 179      50.909  52.174 -40.071  1.00  8.40           O\nATOM   3070  CB  SER H 179      53.821  53.265 -39.576  1.00  2.96           C\nATOM   3071  OG  SER H 179      53.633  54.624 -39.207  1.00  7.60           O\nATOM   3092  N   VAL H 183      43.663  60.354 -39.685  1.00 11.98           N\nATOM   3093  CA  VAL H 183      43.308  61.645 -40.301  1.00 11.95           C\nATOM   3094  C   VAL H 183      41.781  61.839 -40.274  1.00 12.00           C\nATOM   3095  O   VAL H 183      41.026  60.879 -40.100  1.00  9.73           O\nATOM   3096  CB  VAL H 183      43.804  61.716 -41.798  1.00 12.05           C\nATOM   3097  CG1 VAL H 183      45.319  61.570 -41.876  1.00 13.01           C\nATOM   3098  CG2 VAL H 183      43.148  60.625 -42.644  1.00  8.11           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Tyr145–Val183"
    },
    {
     "label": "B",
     "value": "Leu4–Arg100"
    },
    {
     "label": "C",
     "value": "Glu1–Val11"
    },
    {
     "label": "D",
     "value": "Leu170–Ser179"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1HHK-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain A from PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Ser2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "inputs": [
    {
     "name": "1HHK-A2-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   GLY A   1      14.851  -6.104  13.115  1.00 30.79           N\nATOM      2  CA  GLY A   1      15.736  -5.423  12.197  1.00 28.36           C\nATOM      3  C   GLY A   1      15.249  -3.991  12.170  1.00 26.32           C\nATOM      4  O   GLY A   1      14.679  -3.545  13.170  1.00 26.79           O\nATOM      5  N   SER A   2      15.443  -3.339  11.045  1.00 24.58           N\nATOM      6  CA  SER A   2      15.070  -1.952  10.856  1.00 22.79           C\nATOM      7  C   SER A   2      13.561  -1.711  10.895  1.00 19.88           C\nATOM      8  O   SER A   2      12.762  -2.662  10.792  1.00 18.07           O\nATOM      9  CB  SER A   2      15.678  -1.522   9.515  1.00 23.69           C\nATOM     10  OG  SER A   2      17.041  -1.959   9.464  1.00 28.18           O\nATOM     11  N   HIS A   3      13.160  -0.449  11.106  1.00 17.48           N\nATOM     12  CA  HIS A   3      11.749  -0.075  11.163  1.00 14.93           C\nATOM     13  C   HIS A   3      11.567   1.284  10.532  1.00 14.51           C\nATOM     14  O   HIS A   3      12.557   2.027  10.464  1.00 12.59           O\nATOM     15  CB  HIS A   3      11.255   0.004  12.583  1.00 12.05           C\nATOM     16  CG  HIS A   3      11.079  -1.397  13.094  1.00 11.09           C\nATOM     17  ND1 HIS A   3      10.092  -2.193  12.755  1.00 11.80           N\nATOM     18  CD2 HIS A   3      11.892  -2.086  13.945  1.00 11.96           C\nATOM     19  CE1 HIS A   3      10.227  -3.339  13.346  1.00 11.65           C\nATOM     20  NE2 HIS A   3      11.328  -3.268  14.072  1.00 11.77           N\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "161.8",
     "unit": "degree"
    },
    {
     "label": "B",
     "value": "-143.5",
     "unit": "degree"
    },
    {
     "label": "C",
     "value": "-66.1",
     "unit": "degree"
    },
    {
     "label": "D",
     "value": "113.9",
     "unit": "degree"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1HHK-SS-3",
   "family": "secondary_structure",
   "ability": "inference",
   "question": "The excerpt contains residues 2–4 of chain A from PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone dihedrals φ and ψ of His3 (IUPAC sign convention) and assign the residue to the nearest of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: right-handed α-helix (φ −57°, ψ −47°), β-strand (φ −120°, ψ +130°), polyproline II (φ −75°, ψ +145°), left-handed α-helix (φ +57°, ψ +47°). Which conformation does His3 adopt?",
   "scope": "只含残基 2–4 的 ATOM 记录；参考构象中心为教科书典型值；条目的 HELIX/SHEET 记录作为审核证据，不给考生。",
   "inputs": [
    {
     "name": "1HHK-A3-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      5  N   SER A   2      15.443  -3.339  11.045  1.00 24.58           N\nATOM      6  CA  SER A   2      15.070  -1.952  10.856  1.00 22.79           C\nATOM      7  C   SER A   2      13.561  -1.711  10.895  1.00 19.88           C\nATOM      8  O   SER A   2      12.762  -2.662  10.792  1.00 18.07           O\nATOM      9  CB  SER A   2      15.678  -1.522   9.515  1.00 23.69           C\nATOM     10  OG  SER A   2      17.041  -1.959   9.464  1.00 28.18           O\nATOM     11  N   HIS A   3      13.160  -0.449  11.106  1.00 17.48           N\nATOM     12  CA  HIS A   3      11.749  -0.075  11.163  1.00 14.93           C\nATOM     13  C   HIS A   3      11.567   1.284  10.532  1.00 14.51           C\nATOM     14  O   HIS A   3      12.557   2.027  10.464  1.00 12.59           O\nATOM     15  CB  HIS A   3      11.255   0.004  12.583  1.00 12.05           C\nATOM     16  CG  HIS A   3      11.079  -1.397  13.094  1.00 11.09           C\nATOM     17  ND1 HIS A   3      10.092  -2.193  12.755  1.00 11.80           N\nATOM     18  CD2 HIS A   3      11.892  -2.086  13.945  1.00 11.96           C\nATOM     19  CE1 HIS A   3      10.227  -3.339  13.346  1.00 11.65           C\nATOM     20  NE2 HIS A   3      11.328  -3.268  14.072  1.00 11.77           N\nATOM     21  N   SER A   4      10.367   1.617  10.049  1.00 13.81           N\nATOM     22  CA  SER A   4      10.206   2.956   9.555  1.00 14.15           C\nATOM     23  C   SER A   4       8.844   3.468   9.962  1.00 13.80           C\nATOM     24  O   SER A   4       7.954   2.681  10.327  1.00 13.65           O\nATOM     25  CB  SER A   4      10.357   2.926   8.058  1.00 13.15           C\nATOM     26  OG  SER A   4       9.283   2.239   7.429  1.00 14.58           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "polyproline II"
    },
    {
     "label": "B",
     "value": "right-handed α-helix"
    },
    {
     "label": "C",
     "value": "left-handed α-helix"
    },
    {
     "label": "D",
     "value": "β-strand"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1HHK-FRET-1-7",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Gly1 and an acceptor as a point at atom CA of Tyr7. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "inputs": [
    {
     "name": "1HHK-chainA.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   GLY A   1      14.851  -6.104  13.115  1.00 30.79           N\nATOM      2  CA  GLY A   1      15.736  -5.423  12.197  1.00 28.36           C\nATOM      3  C   GLY A   1      15.249  -3.991  12.170  1.00 26.32           C\nATOM      4  O   GLY A   1      14.679  -3.545  13.170  1.00 26.79           O\nATOM      5  N   SER A   2      15.443  -3.339  11.045  1.00 24.58           N\nATOM      6  CA  SER A   2      15.070  -1.952  10.856  1.00 22.79           C\nATOM      7  C   SER A   2      13.561  -1.711  10.895  1.00 19.88           C\nATOM      8  O   SER A   2      12.762  -2.662  10.792  1.00 18.07           O\nATOM      9  CB  SER A   2      15.678  -1.522   9.515  1.00 23.69           C\nATOM     10  OG  SER A   2      17.041  -1.959   9.464  1.00 28.18           O\nATOM     11  N   HIS A   3      13.160  -0.449  11.106  1.00 17.48           N\nATOM     12  CA  HIS A   3      11.749  -0.075  11.163  1.00 14.93           C\nATOM     13  C   HIS A   3      11.567   1.284  10.532  1.00 14.51           C\nATOM     14  O   HIS A   3      12.557   2.027  10.464  1.00 12.59           O\nATOM     15  CB  HIS A   3      11.255   0.004  12.583  1.00 12.05           C\nATOM     16  CG  HIS A   3      11.079  -1.397  13.094  1.00 11.09           C\nATOM     17  ND1 HIS A   3      10.092  -2.193  12.755  1.00 11.80           N\nATOM     18  CD2 HIS A   3      11.892  -2.086  13.945  1.00 11.96           C\nATOM     19  CE1 HIS A   3      10.227  -3.339  13.346  1.00 11.65           C\nATOM     20  NE2 HIS A   3      11.328  -3.268  14.072  1.00 11.77           N\nATOM     21  N   SER A   4      10.367   1.617  10.049  1.00 13.81           N\nATOM     22  CA  SER A   4      10.206   2.956   9.555  1.00 14.15           C\nATOM     23  C   SER A   4       8.844   3.468   9.962  1.00 13.80           C\nATOM     24  O   SER A   4       7.954   2.681  10.327  1.00 13.65           O\nATOM     25  CB  SER A   4      10.357   2.926   8.058  1.00 13.15           C\nATOM     26  OG  SER A   4       9.283   2.239   7.429  1.00 14.58           O\nATOM     27  N   MET A   5       8.674   4.786   9.888  1.00 14.72           N\nATOM     28  CA  MET A   5       7.407   5.433  10.171  1.00 14.98           C\nATOM     29  C   MET A   5       7.148   6.341   8.974  1.00 14.62           C\nATOM     30  O   MET A   5       8.115   6.993   8.568  1.00 16.09           O\nATOM     31  CB  MET A   5       7.523   6.264  11.410  1.00 15.39           C\nATOM     32  CG  MET A   5       6.184   6.158  12.035  1.00 18.11           C\nATOM     33  SD  MET A   5       5.641   7.523  13.079  1.00 19.96           S\nATOM     34  CE  MET A   5       4.643   7.648  11.632  1.00 19.73           C\nATOM     35  N   ARG A   6       5.986   6.435   8.341  1.00 13.88           N\nATOM     36  CA  ARG A   6       5.782   7.336   7.200  1.00 14.95           C\nATOM     37  C   ARG A   6       4.395   7.949   7.162  1.00 13.89           C\nATOM     38  O   ARG A   6       3.433   7.275   7.537  1.00 13.40           O\nATOM     39  CB  ARG A   6       6.006   6.607   5.874  1.00 15.66           C\nATOM     40  CG  ARG A   6       7.379   7.054   5.488  1.00 20.08           C\nATOM     41  CD  ARG A   6       7.966   6.262   4.389  1.00 23.79           C\nATOM     42  NE  ARG A   6       9.389   6.553   4.322  1.00 26.39           N\nATOM     43  CZ  ARG A   6      10.292   5.804   4.969  1.00 27.66           C\nATOM     44  NH1 ARG A   6       9.970   4.768   5.721  1.00 31.54           N\nATOM     45  NH2 ARG A   6      11.574   5.958   4.750  1.00 30.24           N\nATOM     46  N   TYR A   7       4.287   9.234   6.786  1.00 13.56           N\nATOM     47  CA  TYR A   7       2.998   9.879   6.598  1.00 13.53           C\nATOM     48  C   TYR A   7       2.908  10.268   5.119  1.00 13.64           C\nATOM     49  O   TYR A   7       3.862  10.804   4.535  1.00 13.75           O\nATOM     50  CB  TYR A   7       2.860  11.130   7.484  1.00 13.04           C\nATOM     51  CG  TYR A   7       2.564  10.796   8.947  1.00 12.87           C\nATOM     52  CD1 TYR A   7       1.288  10.363   9.339  1.00 13.80           C\nATOM     53  CD2 TYR A   7       3.591  10.899   9.895  1.00 14.33           C\nATOM     54  CE1 TYR A   7       1.030  10.034  10.683  1.00 12.66           C\nATOM     55  CE2 TYR A   7       3.337  10.577  11.232  1.00 13.46           C\nATOM     56  CZ  TYR A   7       2.062  10.138  11.628  1.00 13.70           C\nATOM     57  OH  TYR A   7       1.828   9.847  12.983  1.00 13.01           O\nATOM     58  N   PHE A   8       1.778   9.910   4.515  1.00 13.54           N\nATOM     59  CA  PHE A   8       1.502  10.205   3.126  1.00 14.19           C\nATOM     60  C   PHE A   8       0.278  11.115   3.083  1.00 13.99           C\nATOM     61  O   PHE A   8      -0.753  10.844   3.725  1.00 13.76           O\nATOM     62  CB  PHE A   8       1.212   8.918   2.331  1.00 13.90           C\nATOM     63  CG  PHE A   8       2.279   7.842   2.458  1.00 15.86           C\nATOM     64  CD1 PHE A   8       3.484   7.960   1.782  1.00 16.83           C\nATOM     65  CD2 PHE A   8       2.065   6.736   3.292  1.00 18.88           C\nATOM     66  CE1 PHE A   8       4.474   6.983   1.936  1.00 17.75           C\nATOM     67  CE2 PHE A   8       3.061   5.756   3.445  1.00 18.47           C\nATOM     68  CZ  PHE A   8       4.267   5.881   2.764  1.00 17.23           C\nATOM     69  N   PHE A   9       0.388  12.198   2.299  1.00 14.37           N\nATOM     70  CA  PHE A   9      -0.679  13.190   2.148  1.00 13.93           C\nATOM     71  C   PHE A   9      -0.965  13.449   0.660  1.00 12.04           C\nATOM     72  O   PHE A   9      -0.014  13.681  -0.087  1.00 11.52           O\nATOM     73  CB  PHE A   9      -0.255  14.500   2.784  1.00 15.30           C\nATOM     74  CG  PHE A   9       0.266  14.402   4.203  1.00 14.15           C\nATOM     75  CD1 PHE A   9      -0.633  14.406   5.273  1.00 16.35           C\nATOM     76  CD2 PHE A   9       1.632  14.298   4.427  1.00 14.54           C\nATOM     77  CE1 PHE A   9      -0.148  14.304   6.583  1.00 15.95           C\nATOM     78  CE2 PHE A   9       2.110  14.196   5.729  1.00 14.05           C\nATOM     79  CZ  PHE A   9       1.219  14.199   6.803  1.00 15.72           C\nATOM     80  N   THR A  10      -2.225  13.453   0.236  1.00 13.52           N\nATOM     81  CA  THR A  10      -2.630  13.672  -1.150  1.00 13.62           C\nATOM     82  C   THR A  10      -3.711  14.748  -1.159  1.00 15.23           C\nATOM     83  O   THR A  10      -4.724  14.560  -0.475  1.00 14.77           O\nATOM     84  CB  THR A  10      -3.270  12.403  -1.829  1.00 13.38           C\nATOM     85  OG1 THR A  10      -2.414  11.259  -1.672  1.00 12.56           O\nATOM     86  CG2 THR A  10      -3.542  12.689  -3.313  1.00 11.73           C\nATOM     87  N   SER A  11      -3.570  15.852  -1.902  1.00 17.03           N\nATOM     88  CA  SER A  11      -4.662  16.804  -2.054  1.00 18.58           C\nATOM     89  C   SER A  11      -4.895  16.930  -3.562  1.00 17.09           C\nATOM     90  O   SER A  11      -3.946  16.945  -4.347  1.00 16.43           O\nATOM     91  CB  SER A  11      -4.297  18.165  -1.462  1.00 21.12           C\nATOM     92  OG  SER A  11      -5.373  18.755  -0.721  1.00 26.11           O\nATOM     93  N   VAL A  12      -6.162  16.933  -3.966  1.00 16.86           N\nATOM     94  CA  VAL A  12      -6.581  16.993  -5.359  1.00 16.98           C\nATOM     95  C   VAL A  12      -7.594  18.126  -5.503  1.00 17.97           C\nATOM     96  O   VAL A  12      -8.617  18.113  -4.805  1.00 17.53           O\nATOM     97  CB  VAL A  12      -7.253  15.667  -5.773  1.00 17.42           C\nATOM     98  CG1 VAL A  12      -7.614  15.772  -7.256  1.00 16.29           C\nATOM     99  CG2 VAL A  12      -6.347  14.451  -5.486  1.00 16.21           C\nATOM    100  N   SER A  13      -7.403  19.112  -6.369  1.00 19.08           N\nATOM    101  CA  SER A  13      -8.373  20.187  -6.520  1.00 19.87           C\nATOM    102  C   SER A  13      -9.578  19.741  -7.314  1.00 21.22           C\nATOM    103  O   SER A  13      -9.474  18.938  -8.242  1.00 20.67           O\nATOM    104  CB  SER A  13      -7.743  21.383  -7.206  1.00 17.74           C\nATOM    105  OG  SER A  13      -7.007  21.046  -8.368  1.00 20.10           O\nATOM    106  N   ARG A  14     -10.740  20.271  -6.947  1.00 23.83           N\nATOM    107  CA  ARG A  14     -11.999  19.908  -7.560  1.00 27.18           C\nATOM    108  C   ARG A  14     -12.654  21.176  -8.115  1.00 28.41           C\nATOM    109  O   ARG A  14     -13.681  21.591  -7.585  1.00 28.79           O\nATOM    110  CB  ARG A  14     -12.884  19.238  -6.499  1.00 28.21           C\nATOM    111  CG  ARG A  14     -12.330  17.899  -6.034  1.00 31.14           C\nATOM    112  CD  ARG A  14     -13.245  17.215  -5.043  1.00 32.45           C\nATOM    113  NE  ARG A  14     -13.222  17.836  -3.730  1.00 33.89           N\nATOM    114  CZ  ARG A  14     -13.577  17.155  -2.633  1.00 33.10           C\nATOM    115  NH1 ARG A  14     -13.974  15.891  -2.729  1.00 34.22           N\nATOM    116  NH2 ARG A  14     -13.529  17.730  -1.434  1.00 33.23           N\nATOM    117  N   PRO A  15     -12.122  21.847  -9.158  1.00 28.50           N\nATOM    118  CA  PRO A  15     -12.604  23.127  -9.655  1.00 30.41           C\nATOM    119  C   PRO A  15     -14.107  23.112  -9.906  1.00 31.59           C\nATOM    120  O   PRO A  15     -14.653  22.263 -10.617  1.00 31.64           O\nATOM    121  CB  PRO A  15     -11.765  23.354 -10.890  1.00 30.63           C\nATOM    122  CG  PRO A  15     -10.476  22.659 -10.542  1.00 28.96           C\nATOM    123  CD  PRO A  15     -11.059  21.367 -10.034  1.00 29.56           C\nATOM    124  N   GLY A  16     -14.811  23.969  -9.177  1.00 33.34           N\nATOM    125  CA  GLY A  16     -16.254  23.984  -9.262  1.00 36.50           C\nATOM    126  C   GLY A  16     -16.848  22.942  -8.324  1.00 38.30           C\nATOM    127  O   GLY A  16     -17.759  23.291  -7.566  1.00 39.64           O\nATOM    128  N   ARG A  17     -16.348  21.695  -8.274  1.00 38.80           N\nATOM    129  CA  ARG A  17     -16.889  20.657  -7.408  1.00 38.73           C\nATOM    130  C   ARG A  17     -16.389  20.768  -5.961  1.00 39.43           C\nATOM    131  O   ARG A  17     -16.082  19.772  -5.290  1.00 40.11           O\nATOM    132  CB  ARG A  17     -16.538  19.277  -7.987  0.00 38.88           C\nATOM    133  CG  ARG A  17     -17.245  18.994  -9.307  0.00 38.83           C\nATOM    134  CD  ARG A  17     -17.514  17.507  -9.517  0.00 38.84           C\nATOM    135  NE  ARG A  17     -16.325  16.705  -9.782  0.00 38.84           N\nATOM    136  CZ  ARG A  17     -16.362  15.361  -9.809  0.00 38.84           C\nATOM    137  NH1 ARG A  17     -17.518  14.712  -9.584  0.00 38.84           N\nATOM    138  NH2 ARG A  17     -15.241  14.672 -10.077  0.00 38.84           N\nATOM    139  N   GLY A  18     -16.359  22.004  -5.446  1.00 39.36           N\nATOM    140  CA  GLY A  18     -15.958  22.313  -4.077  1.00 38.79           C\nATOM    141  C   GLY A  18     -14.463  22.329  -3.753  1.00 37.83           C\nATOM    142  O   GLY A  18     -13.559  22.255  -4.599  1.00 39.82           O\nATOM    143  N   GLU A  19     -14.261  22.491  -2.446  1.00 35.26           N\nATOM    144  CA  GLU A  19     -12.952  22.468  -1.821  1.00 33.80           C\nATOM    145  C   GLU A  19     -12.126  21.223  -2.179  1.00 31.28           C\nATOM    146  O   GLU A  19     -12.700  20.130  -2.330  1.00 30.27           O\nATOM    147  CB  GLU A  19     -13.167  22.541  -0.318  1.00 36.53           C\nATOM    148  CG  GLU A  19     -13.519  23.934   0.153  1.00 40.94           C\nATOM    149  CD  GLU A  19     -12.280  24.803   0.255  1.00 43.97           C\nATOM    150  OE1 GLU A  19     -11.618  24.759   1.286  1.00 46.22           O\nATOM    151  OE2 GLU A  19     -11.941  25.529  -0.685  1.00 46.94           O\nATOM    152  N   PRO A  20     -10.805  21.288  -2.321  1.00 28.42           N\nATOM    153  CA  PRO A  20      -9.966  20.130  -2.598  1.00 27.37           C\nATOM    154  C   PRO A  20     -10.077  18.936  -1.657  1.00 26.06           C\nATOM    155  O   PRO A  20     -10.323  19.046  -0.450  1.00 25.65           O\nATOM    156  CB  PRO A  20      -8.554  20.693  -2.660  1.00 27.05           C\nATOM    157  CG  PRO A  20      -8.635  22.006  -1.933  1.00 29.06           C\nATOM    158  CD  PRO A  20     -10.030  22.516  -2.267  1.00 28.59           C\nATOM    159  N   ARG A  21      -9.947  17.769  -2.271  1.00 24.95           N\nATOM    160  CA  ARG A  21      -9.979  16.512  -1.552  1.00 24.63           C\nATOM    161  C   ARG A  21      -8.630  16.316  -0.871  1.00 23.13           C\nATOM    162  O   ARG A  21      -7.610  16.418  -1.553  1.00 24.19           O\nATOM    163  CB  ARG A  21     -10.230  15.395  -2.537  1.00 26.03           C\nATOM    164  CG  ARG A  21     -10.188  14.008  -1.917  1.00 29.10           C\nATOM    165  CD  ARG A  21     -11.467  13.600  -1.214  1.00 31.57           C\nATOM    166  NE  ARG A  21     -11.258  12.268  -0.678  1.00 35.45           N\nATOM    167  CZ  ARG A  21     -12.225  11.359  -0.485  1.00 36.51           C\nATOM    168  NH1 ARG A  21     -13.499  11.567  -0.769  1.00 38.68           N\nATOM    169  NH2 ARG A  21     -11.879  10.206   0.070  1.00 39.18           N\nATOM    170  N   PHE A  22      -8.564  16.086   0.434  1.00 21.45           N\nATOM    171  CA  PHE A  22      -7.316  15.809   1.119  1.00 20.03           C\nATOM    172  C   PHE A  22      -7.391  14.444   1.807  1.00 19.17           C\nATOM    173  O   PHE A  22      -8.370  14.152   2.507  1.00 18.52           O\nATOM    174  CB  PHE A  22      -7.056  16.940   2.133  1.00 20.07           C\nATOM    175  CG  PHE A  22      -5.864  16.707   3.050  1.00 20.15           C\nATOM    176  CD1 PHE A  22      -4.557  16.876   2.568  1.00 19.40           C\nATOM    177  CD2 PHE A  22      -6.087  16.309   4.378  1.00 20.10           C\nATOM    178  CE1 PHE A  22      -3.470  16.645   3.417  1.00 19.13           C\nATOM    179  CE2 PHE A  22      -4.990  16.084   5.212  1.00 19.31           C\nATOM    180  CZ  PHE A  22      -3.689  16.252   4.733  1.00 17.83           C\nATOM    181  N   ILE A  23      -6.405  13.564   1.627  1.00 18.35           N\nATOM    182  CA  ILE A  23      -6.355  12.265   2.331  1.00 18.23           C\nATOM    183  C   ILE A  23      -4.971  12.122   2.984  1.00 16.93           C\nATOM    184  O   ILE A  23      -3.940  12.428   2.364  1.00 16.12           O\nATOM    185  CB  ILE A  23      -6.622  11.072   1.342  1.00 18.27           C\nATOM    186  CG1 ILE A  23      -8.034  11.206   0.781  1.00 18.56           C\nATOM    187  CG2 ILE A  23      -6.471   9.715   2.052  1.00 18.42           C\nATOM    188  CD1 ILE A  23      -8.508  10.095  -0.154  1.00 21.04           C\nATOM    189  N   ALA A  24      -4.936  11.740   4.262  1.00 16.03           N\nATOM    190  CA  ALA A  24      -3.683  11.532   4.994  1.00 16.38           C\nATOM    191  C   ALA A  24      -3.682  10.120   5.573  1.00 15.30           C\nATOM    192  O   ALA A  24      -4.736   9.689   6.051  1.00 14.90           O\nATOM    193  CB  ALA A  24      -3.549  12.491   6.161  1.00 15.71           C\nATOM    194  N   VAL A  25      -2.585   9.361   5.514  1.00 15.28           N\nATOM    195  CA  VAL A  25      -2.487   8.043   6.156  1.00 15.05           C\nATOM    196  C   VAL A  25      -1.097   7.911   6.781  1.00 14.89           C\nATOM    197  O   VAL A  25      -0.130   8.534   6.323  1.00 14.67           O\nATOM    198  CB  VAL A  25      -2.678   6.799   5.184  1.00 16.17           C\nATOM    199  CG1 VAL A  25      -4.079   6.821   4.593  1.00 14.78           C\nATOM    200  CG2 VAL A  25      -1.657   6.791   4.058  1.00 16.70           C\nATOM    201  N   GLY A  26      -0.967   7.133   7.855  1.00 14.00           N\nATOM    202  CA  GLY A  26       0.323   6.919   8.485  1.00 11.95           C\nATOM    203  C   GLY A  26       0.578   5.429   8.552  1.00 11.06           C\nATOM    204  O   GLY A  26      -0.372   4.657   8.746  1.00 12.34           O\nATOM    205  N   TYR A  27       1.824   5.022   8.369  1.00 12.08           N\nATOM    206  CA  TYR A  27       2.258   3.632   8.409  1.00 12.15           C\nATOM    207  C   TYR A  27       3.471   3.447   9.313  1.00 10.89           C\nATOM    208  O   TYR A  27       4.290   4.357   9.469  1.00 10.67           O\nATOM    209  CB  TYR A  27       2.677   3.102   7.022  1.00 12.09           C\nATOM    210  CG  TYR A  27       1.578   2.761   6.023  1.00 13.66           C\nATOM    211  CD1 TYR A  27       0.915   3.790   5.336  1.00 13.38           C\nATOM    212  CD2 TYR A  27       1.271   1.422   5.760  1.00 12.17           C\nATOM    213  CE1 TYR A  27      -0.045   3.487   4.383  1.00 15.05           C\nATOM    214  CE2 TYR A  27       0.303   1.114   4.806  1.00 15.31           C\nATOM    215  CZ  TYR A  27      -0.346   2.151   4.117  1.00 16.68           C\nATOM    216  OH  TYR A  27      -1.255   1.865   3.103  1.00 18.74           O\nATOM    217  N   VAL A  28       3.539   2.285   9.961  1.00 12.05           N\nATOM    218  CA  VAL A  28       4.747   1.838  10.664  1.00 12.54           C\nATOM    219  C   VAL A  28       4.979   0.520   9.927  1.00 12.37           C\nATOM    220  O   VAL A  28       4.120  -0.376   9.857  1.00 12.20           O\nATOM    221  CB  VAL A  28       4.562   1.547  12.191  1.00 11.56           C\nATOM    222  CG1 VAL A  28       5.846   0.906  12.752  1.00  9.41           C\nATOM    223  CG2 VAL A  28       4.310   2.849  12.956  1.00 11.47           C\nATOM    224  N   ASP A  29       6.158   0.484   9.307  1.00 14.47           N\nATOM    225  CA  ASP A  29       6.579  -0.564   8.379  1.00 14.94           C\nATOM    226  C   ASP A  29       5.453  -0.742   7.357  1.00 14.66           C\nATOM    227  O   ASP A  29       4.988   0.258   6.796  1.00 13.83           O\nATOM    228  CB  ASP A  29       6.862  -1.840   9.187  1.00 14.74           C\nATOM    229  CG  ASP A  29       7.913  -1.646  10.268  1.00 17.74           C\nATOM    230  OD1 ASP A  29       8.843  -0.854  10.106  1.00 17.51           O\nATOM    231  OD2 ASP A  29       7.819  -2.287  11.309  1.00 18.45           O\nATOM    232  N   ASP A  30       4.903  -1.940   7.208  1.00 15.81           N\nATOM    233  CA  ASP A  30       3.852  -2.198   6.244  1.00 17.55           C\nATOM    234  C   ASP A  30       2.466  -2.115   6.846  1.00 16.14           C\nATOM    235  O   ASP A  30       1.465  -2.475   6.211  1.00 16.57           O\nATOM    236  CB  ASP A  30       4.048  -3.592   5.627  1.00 18.65           C\nATOM    237  CG  ASP A  30       5.349  -3.738   4.882  1.00 21.35           C\nATOM    238  OD1 ASP A  30       5.688  -2.853   4.098  1.00 23.08           O\nATOM    239  OD2 ASP A  30       6.031  -4.734   5.104  1.00 20.89           O\nATOM    240  N   THR A  31       2.340  -1.648   8.077  1.00 15.31           N\nATOM    241  CA  THR A  31       1.042  -1.589   8.731  1.00 15.03           C\nATOM    242  C   THR A  31       0.538  -0.150   8.809  1.00 13.90           C\nATOM    243  O   THR A  31       1.210   0.722   9.363  1.00 14.62           O\nATOM    244  CB  THR A  31       1.179  -2.224  10.156  1.00 15.36           C\nATOM    245  OG1 THR A  31       1.598  -3.582   9.963  1.00 16.52           O\nATOM    246  CG2 THR A  31      -0.108  -2.168  10.963  1.00 13.39           C\nATOM    247  N   GLN A  32      -0.624   0.109   8.210  1.00 13.44           N\nATOM    248  CA  GLN A  32      -1.262   1.418   8.297  1.00 14.10           C\nATOM    249  C   GLN A  32      -1.813   1.543   9.716  1.00 14.21           C\nATOM    250  O   GLN A  32      -2.299   0.534  10.264  1.00 14.38           O\nATOM    251  CB  GLN A  32      -2.412   1.518   7.331  1.00 15.57           C\nATOM    252  CG  GLN A  32      -2.824   2.984   7.212  1.00 17.82           C\nATOM    253  CD  GLN A  32      -4.167   3.215   6.564  1.00 19.53           C\nATOM    254  OE1 GLN A  32      -4.785   2.319   5.990  1.00 22.02           O\nATOM    255  NE2 GLN A  32      -4.679   4.429   6.687  1.00 19.62           N\nATOM    256  N   PHE A  33      -1.712   2.718  10.337  1.00 13.02           N\nATOM    257  CA  PHE A  33      -2.258   2.863  11.680  1.00 12.77           C\nATOM    258  C   PHE A  33      -3.190   4.042  11.844  1.00 12.37           C\nATOM    259  O   PHE A  33      -3.977   3.999  12.787  1.00 12.78           O\nATOM    260  CB  PHE A  33      -1.100   2.941  12.735  1.00 11.21           C\nATOM    261  CG  PHE A  33      -0.174   4.147  12.786  1.00 12.05           C\nATOM    262  CD1 PHE A  33       0.871   4.292  11.870  1.00 12.22           C\nATOM    263  CD2 PHE A  33      -0.365   5.133  13.762  1.00 12.76           C\nATOM    264  CE1 PHE A  33       1.708   5.407  11.932  1.00 12.06           C\nATOM    265  CE2 PHE A  33       0.476   6.242  13.817  1.00 12.11           C\nATOM    266  CZ  PHE A  33       1.510   6.379  12.901  1.00 12.01           C\nATOM    267  N   VAL A  34      -3.182   5.093  11.006  1.00 12.53           N\nATOM    268  CA  VAL A  34      -4.109   6.229  11.149  1.00 12.78           C\nATOM    269  C   VAL A  34      -4.531   6.723   9.783  1.00 13.14           C\nATOM    270  O   VAL A  34      -3.837   6.396   8.814  1.00 14.41           O\nATOM    271  CB  VAL A  34      -3.545   7.509  11.872  1.00 12.20           C\nATOM    272  CG1 VAL A  34      -3.454   7.227  13.375  1.00 13.59           C\nATOM    273  CG2 VAL A  34      -2.180   7.922  11.312  1.00 12.37           C\nATOM    274  N   ARG A  35      -5.637   7.459   9.696  1.00 13.22           N\nATOM    275  CA  ARG A  35      -6.081   8.089   8.454  1.00 14.70           C\nATOM    276  C   ARG A  35      -6.919   9.326   8.783  1.00 15.56           C\nATOM    277  O   ARG A  35      -7.448   9.455   9.895  1.00 15.96           O\nATOM    278  CB  ARG A  35      -6.970   7.186   7.566  1.00 13.78           C\nATOM    279  CG  ARG A  35      -8.253   6.699   8.211  1.00 17.66           C\nATOM    280  CD  ARG A  35      -9.405   6.700   7.245  1.00 20.96           C\nATOM    281  NE  ARG A  35     -10.626   6.355   7.938  1.00 24.40           N\nATOM    282  CZ  ARG A  35     -11.438   5.343   7.590  1.00 27.44           C\nATOM    283  NH1 ARG A  35     -11.149   4.564   6.537  1.00 29.93           N\nATOM    284  NH2 ARG A  35     -12.525   5.117   8.342  1.00 28.20           N\nATOM    285  N   PHE A  36      -7.001  10.230   7.815  1.00 14.86           N\nATOM    286  CA  PHE A  36      -7.874  11.371   7.845  1.00 15.38           C\nATOM    287  C   PHE A  36      -8.360  11.492   6.393  1.00 16.97           C\nATOM    288  O   PHE A  36      -7.575  11.487   5.435  1.00 15.22           O\nATOM    289  CB  PHE A  36      -7.135  12.667   8.238  1.00 15.07           C\nATOM    290  CG  PHE A  36      -8.036  13.908   8.202  1.00 14.95           C\nATOM    291  CD1 PHE A  36      -8.858  14.203   9.287  1.00 16.62           C\nATOM    292  CD2 PHE A  36      -8.074  14.738   7.071  1.00 16.88           C\nATOM    293  CE1 PHE A  36      -9.715  15.311   9.244  1.00 15.66           C\nATOM    294  CE2 PHE A  36      -8.930  15.845   7.032  1.00 15.28           C\nATOM    295  CZ  PHE A  36      -9.751  16.132   8.116  1.00 16.55           C\nATOM    296  N   ASP A  37      -9.665  11.578   6.196  1.00 17.66           N\nATOM    297  CA  ASP A  37     -10.172  11.884   4.891  1.00 19.53           C\nATOM    298  C   ASP A  37     -11.095  13.071   5.051  1.00 19.60           C\nATOM    299  O   ASP A  37     -12.018  13.078   5.860  1.00 19.40           O\nATOM    300  CB  ASP A  37     -10.942  10.706   4.287  1.00 19.58           C\nATOM    301  CG  ASP A  37     -11.656  11.079   3.000  1.00 19.63           C\nATOM    302  OD1 ASP A  37     -11.185  11.919   2.240  1.00 21.81           O\nATOM    303  OD2 ASP A  37     -12.720  10.549   2.736  1.00 22.56           O\nATOM    304  N   SER A  38     -10.791  14.072   4.243  1.00 21.76           N\nATOM    305  CA  SER A  38     -11.530  15.318   4.133  1.00 23.85           C\nATOM    306  C   SER A  38     -13.020  15.180   3.857  1.00 25.24           C\nATOM    307  O   SER A  38     -13.811  15.989   4.342  1.00 24.71           O\nATOM    308  CB  SER A  38     -10.931  16.153   3.017  1.00 25.59           C\nATOM    309  OG  SER A  38     -10.882  15.430   1.775  1.00 25.91           O\nATOM    310  N   ASP A  39     -13.420  14.183   3.072  1.00 26.76           N\nATOM    311  CA  ASP A  39     -14.805  14.024   2.711  1.00 27.48           C\nATOM    312  C   ASP A  39     -15.555  13.157   3.699  1.00 28.17           C\nATOM    313  O   ASP A  39     -16.774  12.957   3.605  1.00 28.64           O\nATOM    314  CB  ASP A  39     -14.873  13.428   1.320  1.00 28.42           C\nATOM    315  CG  ASP A  39     -14.587  14.356   0.133  1.00 30.10           C\nATOM    316  OD1 ASP A  39     -14.095  15.479   0.257  1.00 30.06           O\nATOM    317  OD2 ASP A  39     -14.810  13.929  -1.005  1.00 30.03           O\nATOM    318  N   ALA A  40     -14.851  12.596   4.677  1.00 28.20           N\nATOM    319  CA  ALA A  40     -15.492  11.769   5.688  1.00 28.47           C\nATOM    320  C   ALA A  40     -16.213  12.628   6.719  1.00 27.73           C\nATOM    321  O   ALA A  40     -15.821  13.754   7.039  1.00 28.49           O\nATOM    322  CB  ALA A  40     -14.460  10.903   6.411  1.00 27.35           C\nATOM    323  N   ALA A  41     -17.271  12.047   7.272  1.00 27.64           N\nATOM    324  CA  ALA A  41     -18.105  12.713   8.260  1.00 27.67           C\nATOM    325  C   ALA A  41     -17.441  13.149   9.560  1.00 27.66           C\nATOM    326  O   ALA A  41     -17.674  14.285   9.974  1.00 29.15           O\nATOM    327  CB  ALA A  41     -19.272  11.812   8.623  1.00 28.14           C\nATOM    328  N   SER A  42     -16.558  12.347  10.185  1.00 26.34           N\nATOM    329  CA  SER A  42     -15.998  12.667  11.500  1.00 24.23           C\nATOM    330  C   SER A  42     -15.161  13.936  11.604  1.00 22.56           C\nATOM    331  O   SER A  42     -15.207  14.656  12.598  1.00 23.37           O\nATOM    332  CB  SER A  42     -15.158  11.482  11.956  1.00 24.53           C\nATOM    333  OG  SER A  42     -14.220  11.193  10.929  1.00 25.09           O\nATOM    334  N   GLN A  43     -14.362  14.178  10.567  1.00 20.83           N\nATOM    335  CA  GLN A  43     -13.396  15.254  10.496  1.00 19.73           C\nATOM    336  C   GLN A  43     -12.346  15.127  11.598  1.00 19.28           C\nATOM    337  O   GLN A  43     -11.851  16.109  12.176  1.00 19.95           O\nATOM    338  CB  GLN A  43     -14.118  16.600  10.584  1.00 19.73           C\nATOM    339  CG  GLN A  43     -14.951  16.859   9.339  1.00 21.16           C\nATOM    340  CD  GLN A  43     -14.125  17.071   8.069  1.00 20.75           C\nATOM    341  OE1 GLN A  43     -13.359  18.033   7.932  1.00 21.43           O\nATOM    342  NE2 GLN A  43     -14.273  16.168   7.123  1.00 19.32           N\nATOM    343  N   ARG A  44     -11.965  13.878  11.855  1.00 17.95           N\nATOM    344  CA  ARG A  44     -10.974  13.538  12.853  1.00 18.06           C\nATOM    345  C   ARG A  44      -9.953  12.558  12.310  1.00 17.71           C\nATOM    346  O   ARG A  44     -10.250  11.847  11.349  1.00 19.34           O\nATOM    347  CB  ARG A  44     -11.645  12.906  14.075  1.00 18.24           C\nATOM    348  CG  ARG A  44     -12.439  13.953  14.859  1.00 19.91           C\nATOM    349  CD  ARG A  44     -12.845  13.514  16.237  1.00 19.62           C\nATOM    350  NE  ARG A  44     -11.723  13.096  17.074  1.00 21.57           N\nATOM    351  CZ  ARG A  44     -11.016  13.906  17.887  1.00 20.93           C\nATOM    352  NH1 ARG A  44     -11.247  15.227  17.991  1.00 20.22           N\nATOM    353  NH2 ARG A  44     -10.131  13.350  18.716  1.00 20.71           N\nATOM    354  N   MET A  45      -8.736  12.538  12.856  1.00 17.08           N\nATOM    355  CA  MET A  45      -7.774  11.479  12.579  1.00 15.38           C\nATOM    356  C   MET A  45      -8.379  10.215  13.204  1.00 16.65           C\nATOM    357  O   MET A  45      -8.865  10.268  14.344  1.00 17.57           O\nATOM    358  CB  MET A  45      -6.455  11.794  13.250  1.00 13.68           C\nATOM    359  CG  MET A  45      -5.312  10.853  12.904  1.00 14.14           C\nATOM    360  SD  MET A  45      -4.655  11.101  11.222  1.00 15.66           S\nATOM    361  CE  MET A  45      -3.226  12.057  11.598  1.00 12.27           C\nATOM    362  N   GLU A  46      -8.363   9.073  12.516  1.00 16.66           N\nATOM    363  CA  GLU A  46      -8.959   7.835  12.978  1.00 16.93           C\nATOM    364  C   GLU A  46      -7.924   6.733  13.074  1.00 16.58           C\nATOM    365  O   GLU A  46      -6.964   6.744  12.305  1.00 15.34           O\nATOM    366  CB  GLU A  46     -10.047   7.364  12.034  1.00 17.99           C\nATOM    367  CG  GLU A  46     -11.141   8.401  11.905  1.00 20.98           C\nATOM    368  CD  GLU A  46     -12.298   7.988  11.044  1.00 23.21           C\nATOM    369  OE1 GLU A  46     -12.161   7.129  10.180  1.00 27.19           O\nATOM    370  OE2 GLU A  46     -13.380   8.509  11.244  1.00 26.86           O\nATOM    371  N   PRO A  47      -8.043   5.798  14.032  1.00 17.51           N\nATOM    372  CA  PRO A  47      -7.212   4.587  14.151  1.00 17.95           C\nATOM    373  C   PRO A  47      -7.465   3.534  13.066  1.00 16.39           C\nATOM    374  O   PRO A  47      -8.598   3.338  12.619  1.00 15.11           O\nATOM    375  CB  PRO A  47      -7.526   4.100  15.557  1.00 17.79           C\nATOM    376  CG  PRO A  47      -9.004   4.445  15.701  1.00 18.21           C\nATOM    377  CD  PRO A  47      -9.017   5.858  15.133  1.00 17.76           C\nATOM    378  N   ARG A  48      -6.424   2.863  12.587  1.00 16.50           N\nATOM    379  CA  ARG A  48      -6.558   1.852  11.556  1.00 18.37           C\nATOM    380  C   ARG A  48      -5.782   0.593  11.938  1.00 19.41           C\nATOM    381  O   ARG A  48      -5.657  -0.337  11.140  1.00 19.42           O\nATOM    382  CB  ARG A  48      -6.040   2.384  10.196  1.00 17.86           C\nATOM    383  CG  ARG A  48      -6.729   3.652   9.742  1.00 18.04           C\nATOM    384  CD  ARG A  48      -8.176   3.350   9.443  1.00 21.46           C\nATOM    385  NE  ARG A  48      -8.258   2.917   8.070  1.00 23.87           N\nATOM    386  CZ  ARG A  48      -9.236   2.175   7.567  1.00 25.44           C\nATOM    387  NH1 ARG A  48     -10.244   1.751   8.337  1.00 26.57           N\nATOM    388  NH2 ARG A  48      -9.235   1.994   6.244  1.00 27.15           N\nATOM    389  N   ALA A  49      -5.304   0.536  13.179  1.00 20.35           N\nATOM    390  CA  ALA A  49      -4.535  -0.569  13.706  1.00 20.93           C\nATOM    391  C   ALA A  49      -4.970  -0.729  15.166  1.00 22.59           C\nATOM    392  O   ALA A  49      -5.070   0.272  15.898  1.00 21.99           O\nATOM    393  CB  ALA A  49      -3.043  -0.276  13.692  1.00 19.80           C\nATOM    394  N   PRO A  50      -5.139  -1.964  15.659  1.00 24.07           N\nATOM    395  CA  PRO A  50      -5.676  -2.251  16.995  1.00 24.71           C\nATOM    396  C   PRO A  50      -4.794  -1.652  18.065  1.00 24.85           C\nATOM    397  O   PRO A  50      -5.253  -1.081  19.046  1.00 26.72           O\nATOM    398  CB  PRO A  50      -5.737  -3.750  17.076  1.00 25.37           C\nATOM    399  CG  PRO A  50      -5.783  -4.145  15.616  1.00 25.82           C\nATOM    400  CD  PRO A  50      -4.782  -3.205  14.975  1.00 24.21           C\nATOM    401  N   TRP A  51      -3.481  -1.731  17.883  1.00 24.80           N\nATOM    402  CA  TRP A  51      -2.570  -1.179  18.849  1.00 24.35           C\nATOM    403  C   TRP A  51      -2.625   0.338  19.012  1.00 24.67           C\nATOM    404  O   TRP A  51      -2.162   0.836  20.038  1.00 25.38           O\nATOM    405  CB  TRP A  51      -1.159  -1.627  18.488  1.00 25.28           C\nATOM    406  CG  TRP A  51      -0.620  -1.327  17.089  1.00 25.33           C\nATOM    407  CD1 TRP A  51      -0.684  -2.252  16.070  1.00 24.72           C\nATOM    408  CD2 TRP A  51       0.000  -0.165  16.722  1.00 24.35           C\nATOM    409  NE1 TRP A  51      -0.100  -1.679  15.047  1.00 24.72           N\nATOM    410  CE2 TRP A  51       0.322  -0.441  15.379  1.00 25.16           C\nATOM    411  CE3 TRP A  51       0.332   1.059  17.315  1.00 23.78           C\nATOM    412  CZ2 TRP A  51       0.983   0.520  14.607  1.00 24.11           C\nATOM    413  CZ3 TRP A  51       0.995   2.013  16.536  1.00 23.91           C\nATOM    414  CH2 TRP A  51       1.316   1.748  15.197  1.00 23.21           C\nATOM    415  N   ILE A  52      -3.189   1.143  18.100  1.00 23.27           N\nATOM    416  CA  ILE A  52      -3.196   2.592  18.316  1.00 22.70           C\nATOM    417  C   ILE A  52      -4.540   3.036  18.927  1.00 23.83           C\nATOM    418  O   ILE A  52      -4.697   4.118  19.508  1.00 23.95           O\nATOM    419  CB  ILE A  52      -2.851   3.286  16.919  1.00 20.22           C\nATOM    420  CG1 ILE A  52      -2.511   4.781  17.090  1.00 19.97           C\nATOM    421  CG2 ILE A  52      -4.020   3.173  15.982  1.00 18.42           C\nATOM    422  CD1 ILE A  52      -1.120   5.181  17.633  1.00 15.42           C\nATOM    423  N   GLU A  53      -5.532   2.152  18.902  1.00 26.00           N\nATOM    424  CA  GLU A  53      -6.862   2.434  19.387  1.00 28.35           C\nATOM    425  C   GLU A  53      -6.912   2.745  20.866  1.00 30.28           C\nATOM    426  O   GLU A  53      -7.916   3.261  21.364  1.00 31.53           O\nATOM    427  CB  GLU A  53      -7.731   1.247  19.050  1.00 28.83           C\nATOM    428  CG  GLU A  53      -7.903   1.292  17.541  1.00 32.52           C\nATOM    429  CD  GLU A  53      -8.460   0.079  16.813  1.00 35.59           C\nATOM    430  OE1 GLU A  53      -9.001  -0.819  17.465  1.00 36.19           O\nATOM    431  OE2 GLU A  53      -8.323   0.042  15.578  1.00 37.13           O\nATOM    432  N   GLN A  54      -5.869   2.439  21.632  1.00 31.69           N\nATOM    433  CA  GLN A  54      -5.911   2.814  23.020  1.00 32.95           C\nATOM    434  C   GLN A  54      -5.075   4.022  23.386  1.00 32.09           C\nATOM    435  O   GLN A  54      -4.867   4.271  24.583  1.00 32.17           O\nATOM    436  CB  GLN A  54      -5.539   1.591  23.883  1.00 35.02           C\nATOM    437  CG  GLN A  54      -6.787   0.738  24.187  1.00 36.74           C\nATOM    438  CD  GLN A  54      -7.973   1.528  24.770  1.00 39.08           C\nATOM    439  OE1 GLN A  54      -7.991   2.034  25.910  1.00 40.51           O\nATOM    440  NE2 GLN A  54      -8.998   1.724  23.948  1.00 39.04           N\nATOM    441  N   GLU A  55      -4.627   4.812  22.400  1.00 30.58           N\nATOM    442  CA  GLU A  55      -3.986   6.092  22.686  1.00 29.60           C\nATOM    443  C   GLU A  55      -5.062   6.990  23.295  1.00 27.41           C\nATOM    444  O   GLU A  55      -6.268   6.758  23.119  1.00 28.01           O\nATOM    445  CB  GLU A  55      -3.446   6.739  21.402  1.00 30.87           C\nATOM    446  CG  GLU A  55      -2.067   6.260  20.894  1.00 33.64           C\nATOM    447  CD  GLU A  55      -0.814   6.644  21.684  1.00 35.14           C\nATOM    448  OE1 GLU A  55      -0.864   7.448  22.615  1.00 37.80           O\nATOM    449  OE2 GLU A  55       0.271   6.132  21.416  1.00 34.78           O\nATOM    450  N   GLY A  56      -4.702   8.002  24.068  1.00 26.72           N\nATOM    451  CA  GLY A  56      -5.718   8.838  24.730  1.00 25.14           C\nATOM    452  C   GLY A  56      -6.431   9.892  23.858  1.00 22.89           C\nATOM    453  O   GLY A  56      -6.010  10.146  22.711  1.00 22.76           O\nATOM    454  N   PRO A  57      -7.443  10.636  24.380  1.00 20.86           N\nATOM    455  CA  PRO A  57      -8.001  11.825  23.722  1.00 17.65           C\nATOM    456  C   PRO A  57      -6.967  12.896  23.445  1.00 17.24           C\nATOM    457  O   PRO A  57      -7.061  13.499  22.398  1.00 16.71           O\nATOM    458  CB  PRO A  57      -9.112  12.284  24.631  1.00 16.42           C\nATOM    459  CG  PRO A  57      -8.808  11.660  25.968  1.00 16.98           C\nATOM    460  CD  PRO A  57      -8.191  10.322  25.600  1.00 19.30           C\nATOM    461  N   GLU A  58      -5.926  13.130  24.260  1.00 17.36           N\nATOM    462  CA  GLU A  58      -4.882  14.102  23.936  1.00 18.99           C\nATOM    463  C   GLU A  58      -4.251  13.795  22.578  1.00 18.57           C\nATOM    464  O   GLU A  58      -4.122  14.683  21.724  1.00 17.84           O\nATOM    465  CB  GLU A  58      -3.749  14.082  24.953  1.00 21.05           C\nATOM    466  CG  GLU A  58      -3.337  15.377  25.635  1.00 27.89           C\nATOM    467  CD  GLU A  58      -3.493  16.696  24.885  1.00 30.76           C\nATOM    468  OE1 GLU A  58      -2.638  17.063  24.103  1.00 34.76           O\nATOM    469  OE2 GLU A  58      -4.464  17.416  25.109  1.00 32.97           O\nATOM    470  N   TYR A  59      -3.927  12.489  22.353  1.00 18.19           N\nATOM    471  CA  TYR A  59      -3.332  12.025  21.099  1.00 17.31           C\nATOM    472  C   TYR A  59      -4.267  12.325  19.943  1.00 16.30           C\nATOM    473  O   TYR A  59      -3.920  13.072  19.035  1.00 18.07           O\nATOM    474  CB  TYR A  59      -3.059  10.516  21.156  1.00 16.86           C\nATOM    475  CG  TYR A  59      -2.353   9.982  19.925  1.00 16.85           C\nATOM    476  CD1 TYR A  59      -0.966  10.120  19.796  1.00 17.05           C\nATOM    477  CD2 TYR A  59      -3.093   9.365  18.905  1.00 17.38           C\nATOM    478  CE1 TYR A  59      -0.320   9.647  18.647  1.00 16.30           C\nATOM    479  CE2 TYR A  59      -2.452   8.890  17.757  1.00 15.76           C\nATOM    480  CZ  TYR A  59      -1.068   9.036  17.638  1.00 15.58           C\nATOM    481  OH  TYR A  59      -0.423   8.562  16.518  1.00 15.40           O\nATOM    482  N   TRP A  60      -5.486  11.809  20.011  1.00 16.31           N\nATOM    483  CA  TRP A  60      -6.416  11.986  18.930  1.00 16.18           C\nATOM    484  C   TRP A  60      -6.809  13.431  18.658  1.00 17.14           C\nATOM    485  O   TRP A  60      -6.890  13.799  17.484  1.00 15.62           O\nATOM    486  CB  TRP A  60      -7.627  11.121  19.217  1.00 17.38           C\nATOM    487  CG  TRP A  60      -7.243   9.639  19.131  1.00 19.67           C\nATOM    488  CD1 TRP A  60      -7.247   8.837  20.242  1.00 19.43           C\nATOM    489  CD2 TRP A  60      -6.760   8.981  18.006  1.00 20.65           C\nATOM    490  NE1 TRP A  60      -6.760   7.685  19.844  1.00 20.80           N\nATOM    491  CE2 TRP A  60      -6.450   7.711  18.536  1.00 20.16           C\nATOM    492  CE3 TRP A  60      -6.536   9.266  16.645  1.00 18.90           C\nATOM    493  CZ2 TRP A  60      -5.912   6.722  17.714  1.00 19.51           C\nATOM    494  CZ3 TRP A  60      -5.989   8.273  15.834  1.00 18.27           C\nATOM    495  CH2 TRP A  60      -5.677   7.014  16.361  1.00 18.87           C\nATOM    496  N   ASP A  61      -6.999  14.298  19.665  1.00 16.88           N\nATOM    497  CA  ASP A  61      -7.350  15.689  19.442  1.00 16.95           C\nATOM    498  C   ASP A  61      -6.165  16.453  18.884  1.00 16.77           C\nATOM    499  O   ASP A  61      -6.308  17.254  17.950  1.00 16.19           O\nATOM    500  CB  ASP A  61      -7.791  16.372  20.738  1.00 18.26           C\nATOM    501  CG  ASP A  61      -9.064  15.838  21.376  1.00 20.20           C\nATOM    502  OD1 ASP A  61      -9.856  15.148  20.717  1.00 20.93           O\nATOM    503  OD2 ASP A  61      -9.270  16.110  22.555  1.00 21.48           O\nATOM    504  N   GLY A  62      -4.964  16.176  19.375  1.00 15.63           N\nATOM    505  CA  GLY A  62      -3.768  16.821  18.887  1.00 15.62           C\nATOM    506  C   GLY A  62      -3.450  16.485  17.434  1.00 16.55           C\nATOM    507  O   GLY A  62      -3.091  17.394  16.661  1.00 16.12           O\nATOM    508  N   GLU A  63      -3.542  15.194  17.064  1.00 16.61           N\nATOM    509  CA  GLU A  63      -3.290  14.749  15.688  1.00 16.27           C\nATOM    510  C   GLU A  63      -4.386  15.257  14.755  1.00 15.50           C\nATOM    511  O   GLU A  63      -4.087  15.668  13.636  1.00 13.80           O\nATOM    512  CB  GLU A  63      -3.214  13.203  15.622  1.00 15.08           C\nATOM    513  CG  GLU A  63      -2.015  12.620  16.369  1.00 15.49           C\nATOM    514  CD  GLU A  63      -0.644  13.134  15.955  1.00 15.45           C\nATOM    515  OE1 GLU A  63      -0.094  12.646  14.981  1.00 16.67           O\nATOM    516  OE2 GLU A  63      -0.062  14.023  16.579  1.00 17.08           O\nATOM    517  N   THR A  64      -5.653  15.279  15.186  1.00 15.73           N\nATOM    518  CA  THR A  64      -6.738  15.830  14.389  1.00 17.52           C\nATOM    519  C   THR A  64      -6.402  17.304  14.111  1.00 17.97           C\nATOM    520  O   THR A  64      -6.506  17.778  12.981  1.00 17.73           O\nATOM    521  CB  THR A  64      -8.076  15.659  15.186  1.00 17.77           C\nATOM    522  OG1 THR A  64      -8.335  14.255  15.303  1.00 17.61           O\nATOM    523  CG2 THR A  64      -9.260  16.348  14.528  1.00 18.68           C\nATOM    524  N   ARG A  65      -5.948  18.065  15.104  1.00 19.41           N\nATOM    525  CA  ARG A  65      -5.602  19.474  14.939  1.00 20.15           C\nATOM    526  C   ARG A  65      -4.480  19.663  13.926  1.00 17.76           C\nATOM    527  O   ARG A  65      -4.587  20.452  12.986  1.00 16.60           O\nATOM    528  CB  ARG A  65      -5.203  20.013  16.307  1.00 22.71           C\nATOM    529  CG  ARG A  65      -4.826  21.468  16.302  1.00 27.48           C\nATOM    530  CD  ARG A  65      -4.267  21.869  17.660  1.00 32.93           C\nATOM    531  NE  ARG A  65      -2.967  21.279  18.015  1.00 36.72           N\nATOM    532  CZ  ARG A  65      -1.812  21.582  17.390  1.00 37.95           C\nATOM    533  NH1 ARG A  65      -1.769  22.444  16.355  1.00 40.87           N\nATOM    534  NH2 ARG A  65      -0.675  21.087  17.881  1.00 39.13           N\nATOM    535  N   LYS A  66      -3.398  18.917  14.092  1.00 17.05           N\nATOM    536  CA  LYS A  66      -2.261  19.014  13.200  1.00 18.07           C\nATOM    537  C   LYS A  66      -2.550  18.501  11.781  1.00 18.01           C\nATOM    538  O   LYS A  66      -2.060  19.102  10.803  1.00 18.27           O\nATOM    539  CB  LYS A  66      -1.059  18.255  13.801  1.00 17.72           C\nATOM    540  CG  LYS A  66      -0.514  18.915  15.087  1.00 19.71           C\nATOM    541  CD  LYS A  66       0.801  18.350  15.641  1.00 18.83           C\nATOM    542  CE  LYS A  66       0.531  16.968  16.172  1.00 21.66           C\nATOM    543  NZ  LYS A  66       1.711  16.142  16.369  1.00 20.12           N\nATOM    544  N   VAL A  67      -3.354  17.442  11.591  1.00 17.03           N\nATOM    545  CA  VAL A  67      -3.664  16.930  10.268  1.00 15.84           C\nATOM    546  C   VAL A  67      -4.541  17.930   9.545  1.00 17.46           C\nATOM    547  O   VAL A  67      -4.297  18.160   8.360  1.00 17.00           O\nATOM    548  CB  VAL A  67      -4.352  15.502  10.371  1.00 15.85           C\nATOM    549  CG1 VAL A  67      -5.834  15.497  10.681  1.00 13.25           C\nATOM    550  CG2 VAL A  67      -4.064  14.833   9.037  1.00 14.94           C\nATOM    551  N   LYS A  68      -5.476  18.610  10.210  1.00 19.03           N\nATOM    552  CA  LYS A  68      -6.287  19.627   9.560  1.00 20.13           C\nATOM    553  C   LYS A  68      -5.454  20.840   9.191  1.00 20.16           C\nATOM    554  O   LYS A  68      -5.707  21.439   8.137  1.00 20.55           O\nATOM    555  CB  LYS A  68      -7.428  20.010  10.483  1.00 22.26           C\nATOM    556  CG  LYS A  68      -8.437  18.873  10.383  1.00 23.89           C\nATOM    557  CD  LYS A  68      -9.357  18.734  11.556  1.00 25.65           C\nATOM    558  CE  LYS A  68     -10.317  19.867  11.658  1.00 27.21           C\nATOM    559  NZ  LYS A  68     -11.408  19.436  12.506  1.00 29.77           N\nATOM    560  N   ALA A  69      -4.426  21.190   9.981  1.00 19.38           N\nATOM    561  CA  ALA A  69      -3.499  22.264   9.617  1.00 19.36           C\nATOM    562  C   ALA A  69      -2.789  21.896   8.318  1.00 19.63           C\nATOM    563  O   ALA A  69      -2.636  22.730   7.423  1.00 19.14           O\nATOM    564  CB  ALA A  69      -2.412  22.471  10.657  1.00 17.67           C\nATOM    565  N   HIS A  70      -2.393  20.615   8.184  1.00 19.39           N\nATOM    566  CA  HIS A  70      -1.750  20.116   6.966  1.00 19.06           C\nATOM    567  C   HIS A  70      -2.694  20.232   5.770  1.00 18.03           C\nATOM    568  O   HIS A  70      -2.266  20.513   4.648  1.00 17.29           O\nATOM    569  CB  HIS A  70      -1.351  18.629   7.063  1.00 20.57           C\nATOM    570  CG  HIS A  70      -0.134  18.293   7.940  1.00 24.25           C\nATOM    571  ND1 HIS A  70       0.147  18.655   9.194  1.00 25.89           N\nATOM    572  CD2 HIS A  70       0.915  17.491   7.537  1.00 23.15           C\nATOM    573  CE1 HIS A  70       1.295  18.115   9.554  1.00 25.74           C\nATOM    574  NE2 HIS A  70       1.745  17.415   8.546  1.00 23.07           N\nATOM    575  N   SER A  71      -3.964  19.942   5.971  1.00 18.68           N\nATOM    576  CA  SER A  71      -4.969  20.031   4.941  1.00 20.31           C\nATOM    577  C   SER A  71      -5.007  21.446   4.348  1.00 22.25           C\nATOM    578  O   SER A  71      -4.909  21.676   3.131  1.00 21.76           O\nATOM    579  CB  SER A  71      -6.243  19.629   5.633  1.00 21.23           C\nATOM    580  OG  SER A  71      -7.396  19.717   4.836  1.00 25.71           O\nATOM    581  N   GLN A  72      -5.091  22.423   5.256  1.00 23.16           N\nATOM    582  CA  GLN A  72      -5.124  23.819   4.887  1.00 22.99           C\nATOM    583  C   GLN A  72      -3.817  24.306   4.301  1.00 22.18           C\nATOM    584  O   GLN A  72      -3.949  25.056   3.333  1.00 23.31           O\nATOM    585  CB  GLN A  72      -5.507  24.653   6.102  1.00 25.32           C\nATOM    586  CG  GLN A  72      -6.985  24.456   6.451  1.00 29.62           C\nATOM    587  CD  GLN A  72      -7.936  24.746   5.291  1.00 32.28           C\nATOM    588  OE1 GLN A  72      -8.048  25.883   4.825  1.00 34.97           O\nATOM    589  NE2 GLN A  72      -8.653  23.765   4.749  1.00 32.77           N\nATOM    590  N   THR A  73      -2.575  23.962   4.692  1.00 20.93           N\nATOM    591  CA  THR A  73      -1.437  24.500   3.948  1.00 21.71           C\nATOM    592  C   THR A  73      -1.478  23.929   2.530  1.00 21.39           C\nATOM    593  O   THR A  73      -1.254  24.686   1.599  1.00 20.66           O\nATOM    594  CB  THR A  73      -0.018  24.183   4.576  1.00 22.07           C\nATOM    595  OG1 THR A  73       0.242  22.777   4.466  1.00 24.92           O\nATOM    596  CG2 THR A  73       0.084  24.712   6.008  1.00 18.92           C\nATOM    597  N   HIS A  74      -1.906  22.667   2.341  1.00 21.97           N\nATOM    598  CA  HIS A  74      -2.034  22.072   1.018  1.00 22.27           C\nATOM    599  C   HIS A  74      -3.087  22.719   0.144  1.00 21.84           C\nATOM    600  O   HIS A  74      -2.950  22.716  -1.080  1.00 21.12           O\nATOM    601  CB  HIS A  74      -2.378  20.603   1.092  1.00 24.49           C\nATOM    602  CG  HIS A  74      -1.143  19.757   1.346  1.00 26.68           C\nATOM    603  ND1 HIS A  74      -0.654  19.374   2.520  1.00 28.70           N\nATOM    604  CD2 HIS A  74      -0.314  19.270   0.373  1.00 28.24           C\nATOM    605  CE1 HIS A  74       0.431  18.685   2.294  1.00 28.15           C\nATOM    606  NE2 HIS A  74       0.631  18.628   1.002  1.00 28.49           N\nATOM    607  N   ARG A  75      -4.151  23.273   0.717  1.00 22.46           N\nATOM    608  CA  ARG A  75      -5.113  23.957  -0.108  1.00 24.67           C\nATOM    609  C   ARG A  75      -4.614  25.341  -0.519  1.00 24.82           C\nATOM    610  O   ARG A  75      -5.000  25.843  -1.582  1.00 25.46           O\nATOM    611  CB  ARG A  75      -6.451  24.025   0.628  1.00 27.46           C\nATOM    612  CG  ARG A  75      -6.882  25.244   1.357  1.00 30.81           C\nATOM    613  CD  ARG A  75      -8.386  25.257   1.265  1.00 34.27           C\nATOM    614  NE  ARG A  75      -8.858  26.282   2.176  1.00 40.04           N\nATOM    615  CZ  ARG A  75      -9.823  27.168   1.890  1.00 42.48           C\nATOM    616  NH1 ARG A  75     -10.431  27.170   0.706  1.00 44.17           N\nATOM    617  NH2 ARG A  75     -10.198  28.025   2.841  1.00 43.96           N\nATOM    618  N   VAL A  76      -3.718  25.961   0.248  1.00 23.09           N\nATOM    619  CA  VAL A  76      -3.084  27.186  -0.189  1.00 23.43           C\nATOM    620  C   VAL A  76      -2.069  26.795  -1.259  1.00 24.28           C\nATOM    621  O   VAL A  76      -1.995  27.432  -2.324  1.00 24.60           O\nATOM    622  CB  VAL A  76      -2.417  27.886   1.018  1.00 23.64           C\nATOM    623  CG1 VAL A  76      -1.459  29.000   0.628  1.00 22.44           C\nATOM    624  CG2 VAL A  76      -3.534  28.522   1.824  1.00 23.11           C\nATOM    625  N   ASP A  77      -1.306  25.723  -1.022  1.00 23.65           N\nATOM    626  CA  ASP A  77      -0.324  25.187  -1.950  1.00 22.67           C\nATOM    627  C   ASP A  77      -0.898  24.970  -3.339  1.00 21.02           C\nATOM    628  O   ASP A  77      -0.242  25.309  -4.326  1.00 20.74           O\nATOM    629  CB  ASP A  77       0.237  23.828  -1.478  1.00 23.68           C\nATOM    630  CG  ASP A  77       1.168  23.814  -0.267  1.00 24.71           C\nATOM    631  OD1 ASP A  77       1.713  24.857   0.108  1.00 24.02           O\nATOM    632  OD2 ASP A  77       1.349  22.733   0.303  1.00 25.06           O\nATOM    633  N   LEU A  78      -2.111  24.436  -3.448  1.00 19.72           N\nATOM    634  CA  LEU A  78      -2.722  24.222  -4.750  1.00 19.77           C\nATOM    635  C   LEU A  78      -2.833  25.521  -5.565  1.00 20.99           C\nATOM    636  O   LEU A  78      -2.488  25.573  -6.761  1.00 19.62           O\nATOM    637  CB  LEU A  78      -4.095  23.559  -4.538  1.00 18.03           C\nATOM    638  CG  LEU A  78      -4.094  22.017  -4.351  1.00 17.72           C\nATOM    639  CD1 LEU A  78      -5.456  21.554  -3.880  1.00 19.21           C\nATOM    640  CD2 LEU A  78      -3.805  21.300  -5.661  1.00 17.01           C\nATOM    641  N   GLY A  79      -3.211  26.619  -4.906  1.00 20.77           N\nATOM    642  CA  GLY A  79      -3.270  27.911  -5.550  1.00 21.28           C\nATOM    643  C   GLY A  79      -1.875  28.422  -5.927  1.00 22.22           C\nATOM    644  O   GLY A  79      -1.640  28.857  -7.060  1.00 23.83           O\nATOM    645  N   THR A  80      -0.935  28.358  -4.994  1.00 22.35           N\nATOM    646  CA  THR A  80       0.432  28.804  -5.174  1.00 23.10           C\nATOM    647  C   THR A  80       1.086  28.165  -6.379  1.00 24.23           C\nATOM    648  O   THR A  80       1.681  28.865  -7.194  1.00 23.99           O\nATOM    649  CB  THR A  80       1.225  28.468  -3.914  1.00 23.05           C\nATOM    650  OG1 THR A  80       0.489  29.003  -2.814  1.00 24.06           O\nATOM    651  CG2 THR A  80       2.635  28.991  -3.973  1.00 23.58           C\nATOM    652  N   LEU A  81       0.960  26.842  -6.522  1.00 25.13           N\nATOM    653  CA  LEU A  81       1.553  26.096  -7.626  1.00 25.43           C\nATOM    654  C   LEU A  81       0.836  26.432  -8.935  1.00 26.62           C\nATOM    655  O   LEU A  81       1.512  26.621  -9.947  1.00 27.12           O\nATOM    656  CB  LEU A  81       1.460  24.600  -7.321  1.00 24.36           C\nATOM    657  CG  LEU A  81       2.387  24.036  -6.230  1.00 23.48           C\nATOM    658  CD1 LEU A  81       1.811  22.777  -5.630  1.00 23.05           C\nATOM    659  CD2 LEU A  81       3.734  23.750  -6.836  1.00 21.55           C\nATOM    660  N   ARG A  82      -0.497  26.572  -8.924  1.00 27.81           N\nATOM    661  CA  ARG A  82      -1.261  26.990 -10.096  1.00 28.96           C\nATOM    662  C   ARG A  82      -0.711  28.328 -10.579  1.00 28.46           C\nATOM    663  O   ARG A  82      -0.574  28.565 -11.778  1.00 28.70           O\nATOM    664  CB  ARG A  82      -2.717  27.122  -9.707  1.00 30.25           C\nATOM    665  CG  ARG A  82      -3.701  27.527 -10.786  1.00 34.41           C\nATOM    666  CD  ARG A  82      -5.064  27.648 -10.110  1.00 37.31           C\nATOM    667  NE  ARG A  82      -5.843  28.777 -10.591  1.00 40.85           N\nATOM    668  CZ  ARG A  82      -5.594  30.048 -10.236  1.00 42.10           C\nATOM    669  NH1 ARG A  82      -4.597  30.350  -9.401  1.00 44.87           N\nATOM    670  NH2 ARG A  82      -6.414  31.013 -10.631  1.00 43.11           N\nATOM    671  N   GLY A  83      -0.357  29.197  -9.633  1.00 28.21           N\nATOM    672  CA  GLY A  83       0.291  30.464  -9.910  1.00 28.09           C\nATOM    673  C   GLY A  83       1.700  30.287 -10.473  1.00 27.99           C\nATOM    674  O   GLY A  83       2.021  30.872 -11.511  1.00 29.36           O\nATOM    675  N   TYR A  84       2.561  29.470  -9.871  1.00 26.94           N\nATOM    676  CA  TYR A  84       3.919  29.256 -10.354  1.00 27.56           C\nATOM    677  C   TYR A  84       3.981  28.695 -11.763  1.00 27.86           C\nATOM    678  O   TYR A  84       4.924  28.919 -12.523  1.00 28.01           O\nATOM    679  CB  TYR A  84       4.689  28.277  -9.460  1.00 28.88           C\nATOM    680  CG  TYR A  84       5.046  28.747  -8.049  1.00 30.13           C\nATOM    681  CD1 TYR A  84       4.930  30.099  -7.670  1.00 30.91           C\nATOM    682  CD2 TYR A  84       5.522  27.809  -7.128  1.00 30.86           C\nATOM    683  CE1 TYR A  84       5.277  30.515  -6.382  1.00 30.99           C\nATOM    684  CE2 TYR A  84       5.874  28.217  -5.839  1.00 31.51           C\nATOM    685  CZ  TYR A  84       5.754  29.570  -5.472  1.00 31.90           C\nATOM    686  OH  TYR A  84       6.111  29.970  -4.191  1.00 30.61           O\nATOM    687  N   TYR A  85       2.985  27.892 -12.093  1.00 28.17           N\nATOM    688  CA  TYR A  85       2.942  27.288 -13.393  1.00 29.41           C\nATOM    689  C   TYR A  85       2.012  28.008 -14.357  1.00 30.08           C\nATOM    690  O   TYR A  85       1.844  27.551 -15.486  1.00 29.69           O\nATOM    691  CB  TYR A  85       2.542  25.835 -13.198  1.00 28.97           C\nATOM    692  CG  TYR A  85       3.627  25.036 -12.498  1.00 29.69           C\nATOM    693  CD1 TYR A  85       4.691  24.516 -13.243  1.00 30.08           C\nATOM    694  CD2 TYR A  85       3.585  24.850 -11.117  1.00 29.31           C\nATOM    695  CE1 TYR A  85       5.714  23.817 -12.607  1.00 30.35           C\nATOM    696  CE2 TYR A  85       4.602  24.153 -10.473  1.00 28.97           C\nATOM    697  CZ  TYR A  85       5.658  23.644 -11.219  1.00 29.58           C\nATOM    698  OH  TYR A  85       6.676  22.989 -10.571  1.00 28.88           O\nATOM    699  N   ASN A  86       1.424  29.131 -13.939  1.00 31.03           N\nATOM    700  CA  ASN A  86       0.490  29.926 -14.718  1.00 33.07           C\nATOM    701  C   ASN A  86      -0.533  29.036 -15.430  1.00 33.56           C\nATOM    702  O   ASN A  86      -0.647  28.947 -16.661  1.00 33.89           O\nATOM    703  CB  ASN A  86       1.315  30.768 -15.691  1.00 35.62           C\nATOM    704  CG  ASN A  86       0.489  31.804 -16.442  1.00 38.80           C\nATOM    705  OD1 ASN A  86       0.254  32.922 -15.972  1.00 40.66           O\nATOM    706  ND2 ASN A  86       0.015  31.502 -17.646  1.00 39.81           N\nATOM    707  N   GLN A  87      -1.247  28.281 -14.598  1.00 33.22           N\nATOM    708  CA  GLN A  87      -2.224  27.306 -15.044  1.00 32.47           C\nATOM    709  C   GLN A  87      -3.641  27.810 -14.853  1.00 33.27           C\nATOM    710  O   GLN A  87      -3.912  28.744 -14.091  1.00 33.19           O\nATOM    711  CB  GLN A  87      -2.066  26.020 -14.264  1.00 30.15           C\nATOM    712  CG  GLN A  87      -0.755  25.330 -14.552  1.00 29.46           C\nATOM    713  CD  GLN A  87      -0.445  24.222 -13.565  1.00 27.98           C\nATOM    714  OE1 GLN A  87      -0.686  24.351 -12.376  1.00 27.18           O\nATOM    715  NE2 GLN A  87       0.093  23.091 -13.989  1.00 28.28           N\nATOM    716  N   SER A  88      -4.565  27.131 -15.529  1.00 34.65           N\nATOM    717  CA  SER A  88      -5.968  27.482 -15.438  1.00 36.12           C\nATOM    718  C   SER A  88      -6.591  27.021 -14.124  1.00 36.01           C\nATOM    719  O   SER A  88      -6.204  26.017 -13.529  1.00 36.08           O\nATOM    720  CB  SER A  88      -6.728  26.859 -16.621  1.00 36.18           C\nATOM    721  OG  SER A  88      -8.092  27.279 -16.680  1.00 38.99           O\nATOM    722  N   GLU A  89      -7.628  27.777 -13.770  1.00 36.66           N\nATOM    723  CA  GLU A  89      -8.479  27.537 -12.626  1.00 37.15           C\nATOM    724  C   GLU A  89      -9.420  26.361 -12.892  1.00 35.62           C\nATOM    725  O   GLU A  89      -9.972  25.740 -11.994  1.00 35.21           O\nATOM    726  CB  GLU A  89      -9.237  28.835 -12.388  1.00 40.44           C\nATOM    727  CG  GLU A  89     -10.112  28.917 -11.135  1.00 45.11           C\nATOM    728  CD  GLU A  89      -9.316  28.892  -9.841  1.00 47.43           C\nATOM    729  OE1 GLU A  89      -8.575  29.846  -9.617  1.00 49.28           O\nATOM    730  OE2 GLU A  89      -9.399  27.924  -9.087  1.00 49.67           O\nATOM    731  N   ALA A  90      -9.616  26.008 -14.158  1.00 34.36           N\nATOM    732  CA  ALA A  90     -10.535  24.946 -14.541  1.00 33.71           C\nATOM    733  C   ALA A  90     -10.103  23.506 -14.297  1.00 32.66           C\nATOM    734  O   ALA A  90     -10.934  22.596 -14.263  1.00 33.04           O\nATOM    735  CB  ALA A  90     -10.861  25.058 -16.031  1.00 34.60           C\nATOM    736  N   GLY A  91      -8.821  23.236 -14.098  1.00 32.10           N\nATOM    737  CA  GLY A  91      -8.384  21.853 -14.050  1.00 31.11           C\nATOM    738  C   GLY A  91      -7.994  21.371 -12.673  1.00 29.21           C\nATOM    739  O   GLY A  91      -7.459  22.126 -11.854  1.00 29.06           O\nATOM    740  N   SER A  92      -8.199  20.063 -12.496  1.00 27.75           N\nATOM    741  CA  SER A  92      -7.815  19.347 -11.292  1.00 25.16           C\nATOM    742  C   SER A  92      -6.311  19.056 -11.297  1.00 23.60           C\nATOM    743  O   SER A  92      -5.681  18.759 -12.323  1.00 23.29           O\nATOM    744  CB  SER A  92      -8.606  18.067 -11.224  1.00 24.63           C\nATOM    745  OG  SER A  92      -8.266  17.339 -10.060  1.00 25.44           O\nATOM    746  N   HIS A  93      -5.707  19.271 -10.133  1.00 21.41           N\nATOM    747  CA  HIS A  93      -4.284  19.124  -9.966  1.00 19.57           C\nATOM    748  C   HIS A  93      -4.054  18.388  -8.653  1.00 18.45           C\nATOM    749  O   HIS A  93      -4.925  18.450  -7.778  1.00 17.09           O\nATOM    750  CB  HIS A  93      -3.643  20.502  -9.952  1.00 19.81           C\nATOM    751  CG  HIS A  93      -3.662  21.154 -11.336  1.00 21.78           C\nATOM    752  ND1 HIS A  93      -4.515  22.017 -11.895  1.00 22.66           N\nATOM    753  CD2 HIS A  93      -2.723  20.875 -12.293  1.00 21.69           C\nATOM    754  CE1 HIS A  93      -4.106  22.242 -13.126  1.00 20.49           C\nATOM    755  NE2 HIS A  93      -3.025  21.546 -13.355  1.00 20.64           N\nATOM    756  N   THR A  94      -2.933  17.668  -8.521  1.00 17.87           N\nATOM    757  CA  THR A  94      -2.621  16.839  -7.364  1.00 17.80           C\nATOM    758  C   THR A  94      -1.325  17.297  -6.703  1.00 17.45           C\nATOM    759  O   THR A  94      -0.299  17.497  -7.378  1.00 17.47           O\nATOM    760  CB  THR A  94      -2.463  15.294  -7.769  1.00 18.02           C\nATOM    761  OG1 THR A  94      -3.621  14.853  -8.499  1.00 17.27           O\nATOM    762  CG2 THR A  94      -2.339  14.387  -6.533  1.00 15.82           C\nATOM    763  N   VAL A  95      -1.337  17.460  -5.381  1.00 16.81           N\nATOM    764  CA  VAL A  95      -0.110  17.688  -4.632  1.00 17.76           C\nATOM    765  C   VAL A  95       0.028  16.459  -3.719  1.00 17.67           C\nATOM    766  O   VAL A  95      -0.973  15.999  -3.134  1.00 17.88           O\nATOM    767  CB  VAL A  95      -0.130  18.937  -3.704  1.00 18.32           C\nATOM    768  CG1 VAL A  95       1.287  19.156  -3.182  1.00 18.51           C\nATOM    769  CG2 VAL A  95      -0.542  20.191  -4.430  1.00 20.98           C\nATOM    770  N   GLN A  96       1.230  15.893  -3.599  1.00 16.42           N\nATOM    771  CA  GLN A  96       1.460  14.799  -2.684  1.00 15.56           C\nATOM    772  C   GLN A  96       2.662  15.193  -1.855  1.00 14.24           C\nATOM    773  O   GLN A  96       3.577  15.860  -2.344  1.00 13.51           O\nATOM    774  CB  GLN A  96       1.766  13.521  -3.419  1.00 15.06           C\nATOM    775  CG  GLN A  96       0.578  12.900  -4.116  1.00 17.45           C\nATOM    776  CD  GLN A  96       1.004  11.923  -5.219  1.00 19.72           C\nATOM    777  OE1 GLN A  96       1.196  12.266  -6.399  1.00 20.96           O\nATOM    778  NE2 GLN A  96       1.145  10.663  -4.885  1.00 16.12           N\nATOM    779  N   ARG A  97       2.637  14.813  -0.582  1.00 14.44           N\nATOM    780  CA  ARG A  97       3.720  15.075   0.364  1.00 13.63           C\nATOM    781  C   ARG A  97       3.947  13.779   1.153  1.00 13.33           C\nATOM    782  O   ARG A  97       2.980  13.098   1.521  1.00 12.16           O\nATOM    783  CB  ARG A  97       3.328  16.202   1.335  1.00 14.47           C\nATOM    784  CG  ARG A  97       4.365  16.578   2.404  1.00 14.18           C\nATOM    785  CD  ARG A  97       3.728  17.526   3.431  1.00 15.95           C\nATOM    786  NE  ARG A  97       4.715  18.131   4.321  1.00 17.88           N\nATOM    787  CZ  ARG A  97       4.386  18.972   5.337  1.00 16.89           C\nATOM    788  NH1 ARG A  97       3.106  19.265   5.554  1.00 16.34           N\nATOM    789  NH2 ARG A  97       5.322  19.536   6.130  1.00 15.16           N\nATOM    790  N   MET A  98       5.207  13.410   1.373  1.00 13.90           N\nATOM    791  CA  MET A  98       5.582  12.292   2.239  1.00 14.42           C\nATOM    792  C   MET A  98       6.703  12.756   3.180  1.00 14.11           C\nATOM    793  O   MET A  98       7.622  13.518   2.792  1.00 11.92           O\nATOM    794  CB  MET A  98       6.078  11.114   1.392  1.00 14.50           C\nATOM    795  CG  MET A  98       6.614   9.905   2.171  1.00 17.15           C\nATOM    796  SD  MET A  98       8.250  10.091   2.951  1.00 19.76           S\nATOM    797  CE  MET A  98       9.422   9.660   1.714  1.00 18.56           C\nATOM    798  N   TYR A  99       6.614  12.377   4.459  1.00 13.62           N\nATOM    799  CA  TYR A  99       7.750  12.571   5.338  1.00 13.06           C\nATOM    800  C   TYR A  99       7.777  11.434   6.354  1.00 12.42           C\nATOM    801  O   TYR A  99       6.767  10.739   6.499  1.00 11.70           O\nATOM    802  CB  TYR A  99       7.664  13.964   6.006  1.00 14.19           C\nATOM    803  CG  TYR A  99       6.509  14.345   6.916  1.00 14.78           C\nATOM    804  CD1 TYR A  99       6.456  13.811   8.217  1.00 16.07           C\nATOM    805  CD2 TYR A  99       5.554  15.267   6.485  1.00 13.98           C\nATOM    806  CE1 TYR A  99       5.449  14.195   9.102  1.00 17.16           C\nATOM    807  CE2 TYR A  99       4.555  15.656   7.376  1.00 16.66           C\nATOM    808  CZ  TYR A  99       4.505  15.120   8.677  1.00 16.64           C\nATOM    809  OH  TYR A  99       3.514  15.485   9.569  1.00 17.74           O\nATOM    810  N   GLY A 100       8.896  11.210   7.027  1.00 13.56           N\nATOM    811  CA  GLY A 100       9.021  10.140   7.998  1.00 13.66           C\nATOM    812  C   GLY A 100      10.474   9.816   8.263  1.00 14.06           C\nATOM    813  O   GLY A 100      11.369  10.550   7.834  1.00 14.66           O\nATOM    814  N   CYS A 101      10.733   8.676   8.904  1.00 15.81           N\nATOM    815  CA  CYS A 101      12.069   8.283   9.347  1.00 15.83           C\nATOM    816  C   CYS A 101      12.253   6.770   9.349  1.00 14.34           C\nATOM    817  O   CYS A 101      11.298   5.992   9.411  1.00 13.97           O\nATOM    818  CB  CYS A 101      12.310   8.870  10.789  1.00 16.27           C\nATOM    819  SG  CYS A 101      11.018   8.480  12.029  1.00 19.06           S\nATOM    820  N   ASP A 102      13.513   6.414   9.402  1.00 15.36           N\nATOM    821  CA  ASP A 102      13.933   5.040   9.490  1.00 17.70           C\nATOM    822  C   ASP A 102      14.875   4.939  10.674  1.00 18.31           C\nATOM    823  O   ASP A 102      15.655   5.862  10.951  1.00 19.53           O\nATOM    824  CB  ASP A 102      14.730   4.581   8.259  1.00 19.49           C\nATOM    825  CG  ASP A 102      14.045   4.678   6.898  1.00 21.01           C\nATOM    826  OD1 ASP A 102      12.812   4.611   6.802  1.00 20.78           O\nATOM    827  OD2 ASP A 102      14.767   4.823   5.905  1.00 23.07           O\nATOM    828  N   VAL A 103      14.796   3.819  11.387  1.00 19.21           N\nATOM    829  CA  VAL A 103      15.736   3.468  12.440  1.00 17.43           C\nATOM    830  C   VAL A 103      16.317   2.122  12.009  1.00 16.79           C\nATOM    831  O   VAL A 103      15.691   1.335  11.272  1.00 17.14           O\nATOM    832  CB  VAL A 103      15.110   3.287  13.870  1.00 16.45           C\nATOM    833  CG1 VAL A 103      14.624   4.650  14.307  1.00 15.70           C\nATOM    834  CG2 VAL A 103      14.015   2.230  13.926  1.00 13.91           C\nATOM    835  N   GLY A 104      17.563   1.893  12.409  1.00 17.96           N\nATOM    836  CA  GLY A 104      18.237   0.639  12.126  1.00 17.51           C\nATOM    837  C   GLY A 104      17.818  -0.467  13.080  1.00 17.55           C\nATOM    838  O   GLY A 104      16.849  -0.371  13.840  1.00 18.12           O\nATOM    839  N   SER A 105      18.608  -1.533  13.060  1.00 17.50           N\nATOM    840  CA  SER A 105      18.349  -2.703  13.880  1.00 20.01           C\nATOM    841  C   SER A 105      18.606  -2.440  15.375  1.00 18.94           C\nATOM    842  O   SER A 105      18.020  -3.095  16.223  1.00 19.08           O\nATOM    843  CB  SER A 105      19.222  -3.854  13.337  1.00 20.24           C\nATOM    844  OG  SER A 105      20.583  -3.453  13.110  1.00 25.52           O\nATOM    845  N   ASP A 106      19.471  -1.479  15.683  1.00 19.06           N\nATOM    846  CA  ASP A 106      19.733  -0.943  17.013  1.00 19.18           C\nATOM    847  C   ASP A 106      18.669   0.068  17.452  1.00 19.63           C\nATOM    848  O   ASP A 106      18.741   0.628  18.554  1.00 20.51           O\nATOM    849  CB  ASP A 106      21.078  -0.235  16.996  1.00 19.56           C\nATOM    850  CG  ASP A 106      21.122   0.963  16.038  1.00 20.02           C\nATOM    851  OD1 ASP A 106      20.203   1.186  15.237  1.00 20.21           O\nATOM    852  OD2 ASP A 106      22.101   1.687  16.075  1.00 19.66           O\nATOM    853  N   TRP A 107      17.709   0.359  16.553  1.00 20.10           N\nATOM    854  CA  TRP A 107      16.608   1.298  16.700  1.00 18.70           C\nATOM    855  C   TRP A 107      17.083   2.746  16.847  1.00 18.18           C\nATOM    856  O   TRP A 107      16.376   3.622  17.377  1.00 19.44           O\nATOM    857  CB  TRP A 107      15.742   0.919  17.904  1.00 19.96           C\nATOM    858  CG  TRP A 107      14.824  -0.300  17.831  1.00 21.00           C\nATOM    859  CD1 TRP A 107      14.952  -1.301  16.909  1.00 22.16           C\nATOM    860  CD2 TRP A 107      13.727  -0.489  18.647  1.00 22.71           C\nATOM    861  NE1 TRP A 107      13.938  -2.111  17.131  1.00 21.99           N\nATOM    862  CE2 TRP A 107      13.178  -1.674  18.142  1.00 21.50           C\nATOM    863  CE3 TRP A 107      13.143   0.178  19.730  1.00 21.81           C\nATOM    864  CZ2 TRP A 107      12.028  -2.218  18.703  1.00 22.05           C\nATOM    865  CZ3 TRP A 107      11.988  -0.366  20.295  1.00 21.95           C\nATOM    866  CH2 TRP A 107      11.441  -1.549  19.780  1.00 22.63           C\nATOM    867  N   ARG A 108      18.278   3.094  16.399  1.00 16.64           N\nATOM    868  CA  ARG A 108      18.725   4.457  16.385  1.00 17.34           C\nATOM    869  C   ARG A 108      18.410   5.099  15.038  1.00 17.51           C\nATOM    870  O   ARG A 108      18.291   4.395  14.033  1.00 17.41           O\nATOM    871  CB  ARG A 108      20.201   4.474  16.670  1.00 19.67           C\nATOM    872  CG  ARG A 108      20.372   4.034  18.124  1.00 23.31           C\nATOM    873  CD  ARG A 108      21.793   3.667  18.468  1.00 25.00           C\nATOM    874  NE  ARG A 108      22.651   4.804  18.281  1.00 29.17           N\nATOM    875  CZ  ARG A 108      22.752   5.762  19.194  1.00 30.07           C\nATOM    876  NH1 ARG A 108      22.046   5.630  20.328  1.00 33.85           N\nATOM    877  NH2 ARG A 108      23.515   6.838  18.923  1.00 30.17           N\nATOM    878  N   PHE A 109      18.198   6.436  15.028  1.00 17.83           N\nATOM    879  CA  PHE A 109      17.915   7.204  13.807  1.00 18.19           C\nATOM    880  C   PHE A 109      18.918   6.874  12.697  1.00 18.79           C\nATOM    881  O   PHE A 109      20.138   6.973  12.880  1.00 19.57           O\nATOM    882  CB  PHE A 109      17.968   8.737  14.085  1.00 17.32           C\nATOM    883  CG  PHE A 109      17.921   9.607  12.828  1.00 17.48           C\nATOM    884  CD1 PHE A 109      19.100   9.938  12.153  1.00 16.82           C\nATOM    885  CD2 PHE A 109      16.694  10.015  12.303  1.00 18.76           C\nATOM    886  CE1 PHE A 109      19.048  10.659  10.962  1.00 15.83           C\nATOM    887  CE2 PHE A 109      16.657  10.745  11.103  1.00 17.94           C\nATOM    888  CZ  PHE A 109      17.834  11.063  10.435  1.00 14.31           C\nATOM    889  N   LEU A 110      18.350   6.602  11.529  1.00 18.39           N\nATOM    890  CA  LEU A 110      19.089   6.250  10.335  1.00 19.06           C\nATOM    891  C   LEU A 110      18.800   7.211   9.168  1.00 20.06           C\nATOM    892  O   LEU A 110      19.732   7.837   8.680  1.00 20.30           O\nATOM    893  CB  LEU A 110      18.726   4.791   9.992  1.00 16.19           C\nATOM    894  CG  LEU A 110      19.346   4.073   8.811  1.00 16.00           C\nATOM    895  CD1 LEU A 110      20.831   3.986   8.957  1.00 16.01           C\nATOM    896  CD2 LEU A 110      18.737   2.686   8.742  1.00 16.69           C\nATOM    897  N   ARG A 111      17.581   7.403   8.668  1.00 21.53           N\nATOM    898  CA  ARG A 111      17.280   8.302   7.569  1.00 23.03           C\nATOM    899  C   ARG A 111      16.035   9.115   7.911  1.00 22.22           C\nATOM    900  O   ARG A 111      15.220   8.666   8.718  1.00 22.97           O\nATOM    901  CB  ARG A 111      17.031   7.477   6.333  1.00 26.32           C\nATOM    902  CG  ARG A 111      17.876   7.896   5.160  1.00 31.28           C\nATOM    903  CD  ARG A 111      17.950   6.699   4.222  1.00 35.21           C\nATOM    904  NE  ARG A 111      18.878   5.660   4.659  1.00 37.76           N\nATOM    905  CZ  ARG A 111      18.499   4.437   5.070  1.00 38.16           C\nATOM    906  NH1 ARG A 111      17.206   4.059   5.127  1.00 38.36           N\nATOM    907  NH2 ARG A 111      19.481   3.595   5.409  1.00 38.90           N\nATOM    908  N   GLY A 112      15.874  10.305   7.340  1.00 20.82           N\nATOM    909  CA  GLY A 112      14.717  11.157   7.542  1.00 20.20           C\nATOM    910  C   GLY A 112      14.307  11.656   6.165  1.00 19.74           C\nATOM    911  O   GLY A 112      15.188  11.828   5.321  1.00 20.13           O\nATOM    912  N   TYR A 113      13.022  11.888   5.905  1.00 20.23           N\nATOM    913  CA  TYR A 113      12.488  12.223   4.591  1.00 19.70           C\nATOM    914  C   TYR A 113      11.507  13.373   4.650  1.00 19.13           C\nATOM    915  O   TYR A 113      10.742  13.459   5.615  1.00 17.18           O\nATOM    916  CB  TYR A 113      11.742  11.021   4.002  1.00 21.38           C\nATOM    917  CG  TYR A 113      12.613   9.788   3.873  1.00 22.92           C\nATOM    918  CD1 TYR A 113      12.817   8.905   4.950  1.00 23.01           C\nATOM    919  CD2 TYR A 113      13.264   9.589   2.653  1.00 24.65           C\nATOM    920  CE1 TYR A 113      13.691   7.829   4.797  1.00 23.41           C\nATOM    921  CE2 TYR A 113      14.131   8.512   2.495  1.00 25.63           C\nATOM    922  CZ  TYR A 113      14.332   7.642   3.565  1.00 25.83           C\nATOM    923  OH  TYR A 113      15.136   6.558   3.327  1.00 25.67           O\nATOM    924  N   HIS A 114      11.489  14.262   3.647  1.00 18.72           N\nATOM    925  CA  HIS A 114      10.467  15.312   3.525  1.00 19.06           C\nATOM    926  C   HIS A 114      10.403  15.751   2.061  1.00 18.80           C\nATOM    927  O   HIS A 114      11.262  16.515   1.633  1.00 18.75           O\nATOM    928  CB  HIS A 114      10.770  16.579   4.387  1.00 19.43           C\nATOM    929  CG  HIS A 114       9.741  17.708   4.199  1.00 19.07           C\nATOM    930  ND1 HIS A 114       8.544  17.832   4.758  1.00 19.87           N\nATOM    931  CD2 HIS A 114       9.922  18.806   3.385  1.00 18.16           C\nATOM    932  CE1 HIS A 114       8.004  18.949   4.316  1.00 19.00           C\nATOM    933  NE2 HIS A 114       8.841  19.524   3.496  1.00 18.88           N\nATOM    934  N   GLN A 115       9.368  15.370   1.326  1.00 18.69           N\nATOM    935  CA  GLN A 115       9.295  15.625  -0.098  1.00 18.58           C\nATOM    936  C   GLN A 115       7.889  15.812  -0.640  1.00 17.34           C\nATOM    937  O   GLN A 115       6.905  15.349  -0.057  1.00 15.92           O\nATOM    938  CB  GLN A 115       9.997  14.472  -0.801  1.00 18.93           C\nATOM    939  CG  GLN A 115       9.505  13.098  -0.434  1.00 19.46           C\nATOM    940  CD  GLN A 115      10.556  12.063  -0.765  1.00 21.40           C\nATOM    941  OE1 GLN A 115      11.711  12.182  -0.363  1.00 22.28           O\nATOM    942  NE2 GLN A 115      10.214  10.998  -1.479  1.00 21.94           N\nATOM    943  N   TYR A 116       7.802  16.546  -1.747  1.00 17.89           N\nATOM    944  CA  TYR A 116       6.555  16.903  -2.402  1.00 17.08           C\nATOM    945  C   TYR A 116       6.621  16.551  -3.879  1.00 16.16           C\nATOM    946  O   TYR A 116       7.707  16.524  -4.488  1.00 16.80           O\nATOM    947  CB  TYR A 116       6.269  18.401  -2.351  1.00 17.75           C\nATOM    948  CG  TYR A 116       5.760  19.014  -1.066  1.00 18.22           C\nATOM    949  CD1 TYR A 116       6.564  19.091   0.081  1.00 19.74           C\nATOM    950  CD2 TYR A 116       4.472  19.551  -1.054  1.00 19.17           C\nATOM    951  CE1 TYR A 116       6.067  19.715   1.235  1.00 20.86           C\nATOM    952  CE2 TYR A 116       3.975  20.175   0.097  1.00 19.59           C\nATOM    953  CZ  TYR A 116       4.775  20.252   1.238  1.00 19.61           C\nATOM    954  OH  TYR A 116       4.254  20.845   2.377  1.00 20.51           O\nATOM    955  N   ALA A 117       5.460  16.270  -4.453  1.00 17.00           N\nATOM    956  CA  ALA A 117       5.320  16.059  -5.886  1.00 16.77           C\nATOM    957  C   ALA A 117       4.118  16.877  -6.366  1.00 17.54           C\nATOM    958  O   ALA A 117       3.128  17.068  -5.630  1.00 18.52           O\nATOM    959  CB  ALA A 117       5.037  14.615  -6.230  1.00 15.14           C\nATOM    960  N   TYR A 118       4.168  17.400  -7.595  1.00 17.14           N\nATOM    961  CA  TYR A 118       3.041  18.137  -8.137  1.00 16.86           C\nATOM    962  C   TYR A 118       2.706  17.397  -9.425  1.00 16.14           C\nATOM    963  O   TYR A 118       3.600  17.081 -10.217  1.00 15.50           O\nATOM    964  CB  TYR A 118       3.440  19.597  -8.410  1.00 16.59           C\nATOM    965  CG  TYR A 118       2.261  20.442  -8.885  1.00 17.20           C\nATOM    966  CD1 TYR A 118       1.015  20.339  -8.261  1.00 16.65           C\nATOM    967  CD2 TYR A 118       2.432  21.312  -9.965  1.00 15.68           C\nATOM    968  CE1 TYR A 118      -0.057  21.101  -8.717  1.00 18.11           C\nATOM    969  CE2 TYR A 118       1.364  22.076 -10.420  1.00 17.02           C\nATOM    970  CZ  TYR A 118       0.135  21.971  -9.800  1.00 17.33           C\nATOM    971  OH  TYR A 118      -0.914  22.753 -10.237  1.00 18.91           O\nATOM    972  N   ASP A 119       1.429  17.059  -9.534  1.00 16.08           N\nATOM    973  CA  ASP A 119       0.848  16.296 -10.629  1.00 17.96           C\nATOM    974  C   ASP A 119       1.648  15.095 -11.083  1.00 18.40           C\nATOM    975  O   ASP A 119       1.874  14.759 -12.250  1.00 18.97           O\nATOM    976  CB  ASP A 119       0.570  17.198 -11.855  1.00 18.36           C\nATOM    977  CG  ASP A 119      -0.564  18.195 -11.656  1.00 17.57           C\nATOM    978  OD1 ASP A 119      -1.618  17.864 -11.114  1.00 15.67           O\nATOM    979  OD2 ASP A 119      -0.378  19.344 -12.034  1.00 18.26           O\nATOM    980  N   GLY A 120       2.045  14.401 -10.019  1.00 18.28           N\nATOM    981  CA  GLY A 120       2.721  13.133 -10.132  1.00 17.27           C\nATOM    982  C   GLY A 120       4.185  13.194 -10.439  1.00 17.81           C\nATOM    983  O   GLY A 120       4.702  12.129 -10.755  1.00 19.38           O\nATOM    984  N   LYS A 121       4.869  14.333 -10.413  1.00 18.63           N\nATOM    985  CA  LYS A 121       6.303  14.356 -10.594  1.00 20.00           C\nATOM    986  C   LYS A 121       6.947  15.119  -9.454  1.00 18.24           C\nATOM    987  O   LYS A 121       6.348  16.023  -8.868  1.00 16.69           O\nATOM    988  CB  LYS A 121       6.735  15.026 -11.922  1.00 23.21           C\nATOM    989  CG  LYS A 121       6.288  16.440 -12.222  1.00 29.18           C\nATOM    990  CD  LYS A 121       7.123  17.174 -13.307  1.00 33.54           C\nATOM    991  CE  LYS A 121       8.466  17.709 -12.763  1.00 36.93           C\nATOM    992  NZ  LYS A 121       8.907  18.930 -13.418  1.00 38.65           N\nATOM    993  N   ASP A 122       8.140  14.676  -9.092  1.00 18.48           N\nATOM    994  CA  ASP A 122       8.954  15.327  -8.086  1.00 19.82           C\nATOM    995  C   ASP A 122       8.968  16.833  -8.218  1.00 19.38           C\nATOM    996  O   ASP A 122       9.174  17.363  -9.322  1.00 19.96           O\nATOM    997  CB  ASP A 122      10.387  14.889  -8.170  1.00 20.60           C\nATOM    998  CG  ASP A 122      10.672  13.425  -7.923  1.00 22.39           C\nATOM    999  OD1 ASP A 122       9.761  12.639  -7.687  1.00 23.36           O\nATOM   1000  OD2 ASP A 122      11.844  13.073  -7.989  1.00 25.86           O\nATOM   1001  N   TYR A 123       8.687  17.476  -7.079  1.00 18.46           N\nATOM   1002  CA  TYR A 123       8.699  18.915  -6.969  1.00 17.08           C\nATOM   1003  C   TYR A 123       9.888  19.358  -6.099  1.00 17.96           C\nATOM   1004  O   TYR A 123      10.819  20.022  -6.591  1.00 18.23           O\nATOM   1005  CB  TYR A 123       7.357  19.365  -6.377  1.00 17.71           C\nATOM   1006  CG  TYR A 123       7.251  20.878  -6.307  1.00 18.50           C\nATOM   1007  CD1 TYR A 123       7.061  21.588  -7.486  1.00 18.42           C\nATOM   1008  CD2 TYR A 123       7.391  21.561  -5.093  1.00 18.24           C\nATOM   1009  CE1 TYR A 123       7.019  22.974  -7.468  1.00 18.96           C\nATOM   1010  CE2 TYR A 123       7.345  22.953  -5.066  1.00 19.90           C\nATOM   1011  CZ  TYR A 123       7.157  23.652  -6.266  1.00 19.44           C\nATOM   1012  OH  TYR A 123       7.085  25.027  -6.269  1.00 19.31           O\nATOM   1013  N   ILE A 124       9.944  19.056  -4.795  1.00 17.02           N\nATOM   1014  CA  ILE A 124      11.096  19.451  -3.983  1.00 17.31           C\nATOM   1015  C   ILE A 124      11.305  18.359  -2.944  1.00 17.23           C\nATOM   1016  O   ILE A 124      10.324  17.721  -2.518  1.00 16.10           O\nATOM   1017  CB  ILE A 124      10.836  20.861  -3.320  1.00 17.06           C\nATOM   1018  CG1 ILE A 124      12.142  21.339  -2.688  1.00 15.99           C\nATOM   1019  CG2 ILE A 124       9.651  20.802  -2.343  1.00 17.01           C\nATOM   1020  CD1 ILE A 124      12.204  22.821  -2.317  1.00 15.01           C\nATOM   1021  N   ALA A 125      12.571  18.107  -2.603  1.00 17.42           N\nATOM   1022  CA  ALA A 125      12.915  17.095  -1.631  1.00 17.77           C\nATOM   1023  C   ALA A 125      14.012  17.532  -0.679  1.00 17.66           C\nATOM   1024  O   ALA A 125      14.982  18.166  -1.111  1.00 19.03           O\nATOM   1025  CB  ALA A 125      13.395  15.827  -2.323  1.00 18.11           C\nATOM   1026  N   LEU A 126      13.878  17.216   0.611  1.00 18.13           N\nATOM   1027  CA  LEU A 126      14.927  17.433   1.598  1.00 17.64           C\nATOM   1028  C   LEU A 126      15.998  16.408   1.294  1.00 17.55           C\nATOM   1029  O   LEU A 126      15.693  15.235   1.092  1.00 18.06           O\nATOM   1030  CB  LEU A 126      14.387  17.223   3.035  1.00 17.01           C\nATOM   1031  CG  LEU A 126      15.341  17.414   4.244  1.00 17.27           C\nATOM   1032  CD1 LEU A 126      15.936  18.818   4.238  1.00 17.85           C\nATOM   1033  CD2 LEU A 126      14.572  17.167   5.548  1.00 17.03           C\nATOM   1034  N   LYS A 127      17.252  16.788   1.201  1.00 18.63           N\nATOM   1035  CA  LYS A 127      18.293  15.808   0.966  1.00 21.01           C\nATOM   1036  C   LYS A 127      18.721  15.063   2.235  1.00 21.48           C\nATOM   1037  O   LYS A 127      18.401  15.499   3.338  1.00 22.21           O\nATOM   1038  CB  LYS A 127      19.465  16.515   0.336  1.00 23.43           C\nATOM   1039  CG  LYS A 127      19.176  17.067  -1.057  1.00 24.36           C\nATOM   1040  CD  LYS A 127      20.569  17.461  -1.518  1.00 28.59           C\nATOM   1041  CE  LYS A 127      20.608  18.505  -2.607  1.00 31.33           C\nATOM   1042  NZ  LYS A 127      21.845  19.243  -2.428  1.00 33.94           N\nATOM   1043  N   GLU A 128      19.478  13.965   2.117  1.00 21.37           N\nATOM   1044  CA  GLU A 128      19.861  13.119   3.239  1.00 24.06           C\nATOM   1045  C   GLU A 128      20.582  13.848   4.364  1.00 24.50           C\nATOM   1046  O   GLU A 128      20.411  13.536   5.543  1.00 24.27           O\nATOM   1047  CB  GLU A 128      20.738  11.979   2.723  1.00 26.33           C\nATOM   1048  CG  GLU A 128      20.939  10.855   3.763  1.00 31.88           C\nATOM   1049  CD  GLU A 128      21.810   9.656   3.369  1.00 35.40           C\nATOM   1050  OE1 GLU A 128      22.421   9.666   2.292  1.00 38.87           O\nATOM   1051  OE2 GLU A 128      21.873   8.695   4.143  1.00 36.94           O\nATOM   1052  N   ASP A 129      21.348  14.882   4.034  1.00 25.04           N\nATOM   1053  CA  ASP A 129      22.063  15.672   5.024  1.00 25.61           C\nATOM   1054  C   ASP A 129      21.120  16.436   5.954  1.00 24.45           C\nATOM   1055  O   ASP A 129      21.521  16.958   6.999  1.00 25.19           O\nATOM   1056  CB  ASP A 129      22.971  16.664   4.305  1.00 28.20           C\nATOM   1057  CG  ASP A 129      22.277  17.803   3.570  1.00 30.28           C\nATOM   1058  OD1 ASP A 129      21.119  17.717   3.157  1.00 33.22           O\nATOM   1059  OD2 ASP A 129      22.892  18.833   3.393  1.00 33.36           O\nATOM   1060  N   LEU A 130      19.871  16.570   5.496  1.00 23.51           N\nATOM   1061  CA  LEU A 130      18.763  17.263   6.125  1.00 23.32           C\nATOM   1062  C   LEU A 130      19.094  18.737   6.365  1.00 23.83           C\nATOM   1063  O   LEU A 130      18.615  19.403   7.302  1.00 22.49           O\nATOM   1064  CB  LEU A 130      18.377  16.576   7.468  1.00 23.55           C\nATOM   1065  CG  LEU A 130      18.050  15.080   7.561  1.00 22.04           C\nATOM   1066  CD1 LEU A 130      17.586  14.826   8.977  1.00 23.72           C\nATOM   1067  CD2 LEU A 130      16.984  14.643   6.572  1.00 21.41           C\nATOM   1068  N   ARG A 131      19.961  19.246   5.492  1.00 24.22           N\nATOM   1069  CA  ARG A 131      20.397  20.631   5.516  1.00 26.02           C\nATOM   1070  C   ARG A 131      20.174  21.285   4.152  1.00 25.27           C\nATOM   1071  O   ARG A 131      20.167  22.517   4.042  1.00 24.76           O\nATOM   1072  CB  ARG A 131      21.884  20.711   5.884  1.00 27.06           C\nATOM   1073  CG  ARG A 131      22.240  20.594   7.370  1.00 30.82           C\nATOM   1074  CD  ARG A 131      23.751  20.490   7.598  1.00 33.96           C\nATOM   1075  NE  ARG A 131      24.493  21.510   6.854  1.00 41.22           N\nATOM   1076  CZ  ARG A 131      25.132  22.581   7.400  1.00 43.07           C\nATOM   1077  NH1 ARG A 131      25.143  22.802   8.736  1.00 43.17           N\nATOM   1078  NH2 ARG A 131      25.740  23.454   6.574  1.00 42.93           N\nATOM   1079  N   SER A 132      20.022  20.502   3.086  1.00 25.66           N\nATOM   1080  CA  SER A 132      19.775  21.079   1.785  1.00 24.78           C\nATOM   1081  C   SER A 132      18.539  20.500   1.083  1.00 24.77           C\nATOM   1082  O   SER A 132      17.904  19.539   1.560  1.00 22.47           O\nATOM   1083  CB  SER A 132      21.064  20.903   0.968  1.00 24.45           C\nATOM   1084  OG  SER A 132      21.478  19.578   0.653  1.00 27.01           O\nATOM   1085  N   TRP A 133      18.213  21.132  -0.065  1.00 24.22           N\nATOM   1086  CA  TRP A 133      17.026  20.842  -0.844  1.00 23.45           C\nATOM   1087  C   TRP A 133      17.320  20.541  -2.298  1.00 24.52           C\nATOM   1088  O   TRP A 133      18.262  21.124  -2.835  1.00 24.10           O\nATOM   1089  CB  TRP A 133      16.081  22.025  -0.824  1.00 22.61           C\nATOM   1090  CG  TRP A 133      15.597  22.394   0.564  1.00 20.71           C\nATOM   1091  CD1 TRP A 133      16.142  23.437   1.267  1.00 20.22           C\nATOM   1092  CD2 TRP A 133      14.618  21.727   1.245  1.00 19.20           C\nATOM   1093  NE1 TRP A 133      15.505  23.429   2.416  1.00 20.18           N\nATOM   1094  CE2 TRP A 133      14.592  22.436   2.462  1.00 19.24           C\nATOM   1095  CE3 TRP A 133      13.772  20.645   1.012  1.00 15.20           C\nATOM   1096  CZ2 TRP A 133      13.694  22.045   3.456  1.00 17.29           C\nATOM   1097  CZ3 TRP A 133      12.883  20.263   2.009  1.00 14.55           C\nATOM   1098  CH2 TRP A 133      12.848  20.952   3.216  1.00 16.70           C\nATOM   1099  N   THR A 134      16.565  19.640  -2.921  1.00 24.99           N\nATOM   1100  CA  THR A 134      16.654  19.349  -4.336  1.00 25.84           C\nATOM   1101  C   THR A 134      15.396  19.922  -4.964  1.00 26.88           C\nATOM   1102  O   THR A 134      14.285  19.502  -4.636  1.00 25.60           O\nATOM   1103  CB  THR A 134      16.711  17.844  -4.580  1.00 25.25           C\nATOM   1104  OG1 THR A 134      17.933  17.425  -3.995  1.00 27.67           O\nATOM   1105  CG2 THR A 134      16.658  17.437  -6.036  1.00 23.87           C\nATOM   1106  N   ALA A 135      15.567  20.859  -5.880  1.00 29.67           N\nATOM   1107  CA  ALA A 135      14.452  21.461  -6.584  1.00 33.19           C\nATOM   1108  C   ALA A 135      14.848  21.278  -8.035  1.00 35.26           C\nATOM   1109  O   ALA A 135      15.972  21.650  -8.389  1.00 37.18           O\nATOM   1110  CB  ALA A 135      14.370  22.939  -6.254  1.00 32.70           C\nATOM   1111  N   ALA A 136      14.024  20.645  -8.869  1.00 36.83           N\nATOM   1112  CA  ALA A 136      14.403  20.448 -10.270  1.00 36.95           C\nATOM   1113  C   ALA A 136      13.960  21.572 -11.192  1.00 36.95           C\nATOM   1114  O   ALA A 136      14.738  22.117 -11.975  1.00 36.57           O\nATOM   1115  CB  ALA A 136      13.803  19.144 -10.802  1.00 37.60           C\nATOM   1116  N   ASP A 137      12.672  21.894 -11.072  1.00 36.61           N\nATOM   1117  CA  ASP A 137      12.038  22.933 -11.861  1.00 37.18           C\nATOM   1118  C   ASP A 137      12.473  24.351 -11.556  1.00 35.98           C\nATOM   1119  O   ASP A 137      12.971  24.660 -10.477  1.00 36.76           O\nATOM   1120  CB  ASP A 137      10.511  22.840 -11.680  1.00 37.64           C\nATOM   1121  CG  ASP A 137       9.913  21.572 -12.271  1.00 38.81           C\nATOM   1122  OD1 ASP A 137      10.630  20.750 -12.845  1.00 43.36           O\nATOM   1123  OD2 ASP A 137       8.711  21.343 -12.201  1.00 37.90           O\nATOM   1124  N   MET A 138      12.247  25.263 -12.490  1.00 35.54           N\nATOM   1125  CA  MET A 138      12.448  26.684 -12.259  1.00 34.82           C\nATOM   1126  C   MET A 138      11.397  27.158 -11.258  1.00 33.79           C\nATOM   1127  O   MET A 138      11.726  27.891 -10.332  1.00 33.26           O\nATOM   1128  CB  MET A 138      12.297  27.445 -13.551  1.00 35.02           C\nATOM   1129  CG  MET A 138      12.622  28.930 -13.485  1.00 34.21           C\nATOM   1130  SD  MET A 138      14.375  29.307 -13.254  1.00 35.64           S\nATOM   1131  CE  MET A 138      15.223  28.272 -14.412  1.00 32.94           C\nATOM   1132  N   ALA A 139      10.139  26.701 -11.349  1.00 34.04           N\nATOM   1133  CA  ALA A 139       9.106  27.103 -10.384  1.00 34.10           C\nATOM   1134  C   ALA A 139       9.412  26.657  -8.954  1.00 33.88           C\nATOM   1135  O   ALA A 139       9.258  27.399  -7.973  1.00 34.17           O\nATOM   1136  CB  ALA A 139       7.755  26.522 -10.774  1.00 34.35           C\nATOM   1137  N   ALA A 140       9.913  25.423  -8.863  1.00 32.70           N\nATOM   1138  CA  ALA A 140      10.336  24.850  -7.614  1.00 31.51           C\nATOM   1139  C   ALA A 140      11.407  25.687  -6.918  1.00 31.57           C\nATOM   1140  O   ALA A 140      11.599  25.555  -5.701  1.00 31.06           O\nATOM   1141  CB  ALA A 140      10.877  23.457  -7.878  1.00 31.60           C\nATOM   1142  N   GLN A 141      12.102  26.581  -7.650  1.00 31.43           N\nATOM   1143  CA  GLN A 141      13.160  27.415  -7.084  1.00 30.02           C\nATOM   1144  C   GLN A 141      12.667  28.499  -6.162  1.00 27.69           C\nATOM   1145  O   GLN A 141      13.384  28.855  -5.221  1.00 27.93           O\nATOM   1146  CB  GLN A 141      13.999  28.080  -8.178  1.00 30.98           C\nATOM   1147  CG  GLN A 141      14.737  27.069  -9.054  1.00 33.91           C\nATOM   1148  CD  GLN A 141      15.311  25.847  -8.332  1.00 34.95           C\nATOM   1149  OE1 GLN A 141      15.795  25.908  -7.203  1.00 37.95           O\nATOM   1150  NE2 GLN A 141      15.240  24.671  -8.920  1.00 36.00           N\nATOM   1151  N   THR A 142      11.466  29.019  -6.388  1.00 25.86           N\nATOM   1152  CA  THR A 142      10.842  29.966  -5.480  1.00 25.06           C\nATOM   1153  C   THR A 142      10.746  29.331  -4.106  1.00 23.37           C\nATOM   1154  O   THR A 142      11.253  29.878  -3.117  1.00 21.34           O\nATOM   1155  CB  THR A 142       9.441  30.321  -5.936  1.00 25.83           C\nATOM   1156  OG1 THR A 142       9.591  30.835  -7.257  1.00 27.35           O\nATOM   1157  CG2 THR A 142       8.760  31.314  -5.001  1.00 25.37           C\nATOM   1158  N   THR A 143      10.162  28.132  -4.129  1.00 22.19           N\nATOM   1159  CA  THR A 143      10.009  27.329  -2.942  1.00 21.18           C\nATOM   1160  C   THR A 143      11.351  27.046  -2.290  1.00 19.85           C\nATOM   1161  O   THR A 143      11.510  27.338  -1.105  1.00 19.54           O\nATOM   1162  CB  THR A 143       9.295  26.049  -3.335  1.00 20.57           C\nATOM   1163  OG1 THR A 143       8.127  26.446  -4.080  1.00 20.90           O\nATOM   1164  CG2 THR A 143       8.965  25.193  -2.120  1.00 18.71           C\nATOM   1165  N   LYS A 144      12.353  26.604  -3.046  1.00 20.02           N\nATOM   1166  CA  LYS A 144      13.680  26.327  -2.524  1.00 20.64           C\nATOM   1167  C   LYS A 144      14.276  27.532  -1.791  1.00 21.69           C\nATOM   1168  O   LYS A 144      14.717  27.446  -0.645  1.00 22.91           O\nATOM   1169  CB  LYS A 144      14.591  25.902  -3.693  1.00 20.80           C\nATOM   1170  CG  LYS A 144      16.063  25.732  -3.291  1.00 21.83           C\nATOM   1171  CD  LYS A 144      16.900  25.023  -4.333  1.00 22.86           C\nATOM   1172  CE  LYS A 144      18.347  24.796  -3.895  1.00 23.20           C\nATOM   1173  NZ  LYS A 144      19.147  25.993  -3.968  1.00 23.85           N\nATOM   1174  N   HIS A 145      14.195  28.705  -2.405  1.00 22.45           N\nATOM   1175  CA  HIS A 145      14.783  29.905  -1.838  1.00 21.52           C\nATOM   1176  C   HIS A 145      14.077  30.384  -0.600  1.00 20.46           C\nATOM   1177  O   HIS A 145      14.708  30.855   0.337  1.00 20.37           O\nATOM   1178  CB  HIS A 145      14.781  30.978  -2.912  1.00 22.59           C\nATOM   1179  CG  HIS A 145      15.636  30.559  -4.099  1.00 24.17           C\nATOM   1180  ND1 HIS A 145      16.620  29.654  -4.096  1.00 25.37           N\nATOM   1181  CD2 HIS A 145      15.502  31.028  -5.380  1.00 24.54           C\nATOM   1182  CE1 HIS A 145      17.082  29.548  -5.314  1.00 24.41           C\nATOM   1183  NE2 HIS A 145      16.406  30.376  -6.072  1.00 26.43           N\nATOM   1184  N   LYS A 146      12.756  30.230  -0.618  1.00 21.23           N\nATOM   1185  CA  LYS A 146      11.831  30.600   0.437  1.00 22.25           C\nATOM   1186  C   LYS A 146      12.132  29.843   1.712  1.00 21.41           C\nATOM   1187  O   LYS A 146      12.261  30.403   2.807  1.00 19.71           O\nATOM   1188  CB  LYS A 146      10.405  30.274  -0.008  1.00 25.44           C\nATOM   1189  CG  LYS A 146       9.284  31.315  -0.098  1.00 28.68           C\nATOM   1190  CD  LYS A 146       8.149  30.533  -0.755  1.00 31.65           C\nATOM   1191  CE  LYS A 146       6.777  31.122  -0.539  1.00 34.43           C\nATOM   1192  NZ  LYS A 146       5.789  30.368  -1.274  1.00 36.83           N\nATOM   1193  N   TRP A 147      12.222  28.531   1.537  1.00 20.15           N\nATOM   1194  CA  TRP A 147      12.493  27.615   2.604  1.00 19.50           C\nATOM   1195  C   TRP A 147      13.924  27.805   3.094  1.00 20.74           C\nATOM   1196  O   TRP A 147      14.197  27.576   4.285  1.00 20.98           O\nATOM   1197  CB  TRP A 147      12.269  26.189   2.097  1.00 17.84           C\nATOM   1198  CG  TRP A 147      10.808  25.801   1.872  1.00 16.43           C\nATOM   1199  CD1 TRP A 147       9.758  26.667   2.021  1.00 17.48           C\nATOM   1200  CD2 TRP A 147      10.372  24.548   1.508  1.00 16.42           C\nATOM   1201  NE1 TRP A 147       8.670  25.981   1.754  1.00 15.23           N\nATOM   1202  CE2 TRP A 147       8.986  24.720   1.450  1.00 15.51           C\nATOM   1203  CE3 TRP A 147      10.949  23.310   1.229  1.00 16.16           C\nATOM   1204  CZ2 TRP A 147       8.145  23.670   1.113  1.00 15.90           C\nATOM   1205  CZ3 TRP A 147      10.105  22.251   0.893  1.00 15.00           C\nATOM   1206  CH2 TRP A 147       8.721  22.435   0.841  1.00 15.38           C\nATOM   1207  N   GLU A 148      14.859  28.210   2.226  1.00 20.63           N\nATOM   1208  CA  GLU A 148      16.216  28.503   2.648  1.00 22.90           C\nATOM   1209  C   GLU A 148      16.233  29.694   3.601  1.00 24.27           C\nATOM   1210  O   GLU A 148      16.724  29.639   4.746  1.00 25.31           O\nATOM   1211  CB  GLU A 148      17.099  28.808   1.427  1.00 24.08           C\nATOM   1212  CG  GLU A 148      17.617  27.598   0.668  1.00 25.39           C\nATOM   1213  CD  GLU A 148      18.068  27.825  -0.777  1.00 27.04           C\nATOM   1214  OE1 GLU A 148      17.917  28.912  -1.356  1.00 26.64           O\nATOM   1215  OE2 GLU A 148      18.544  26.859  -1.393  1.00 30.16           O\nATOM   1216  N   ALA A 149      15.619  30.781   3.140  1.00 24.87           N\nATOM   1217  CA  ALA A 149      15.520  32.009   3.902  1.00 24.38           C\nATOM   1218  C   ALA A 149      14.828  31.823   5.240  1.00 24.06           C\nATOM   1219  O   ALA A 149      15.337  32.271   6.259  1.00 25.86           O\nATOM   1220  CB  ALA A 149      14.747  33.031   3.098  1.00 22.82           C\nATOM   1221  N   ALA A 150      13.705  31.109   5.236  1.00 23.15           N\nATOM   1222  CA  ALA A 150      12.904  30.834   6.402  1.00 21.64           C\nATOM   1223  C   ALA A 150      13.459  29.722   7.264  1.00 23.32           C\nATOM   1224  O   ALA A 150      12.848  29.422   8.287  1.00 25.43           O\nATOM   1225  CB  ALA A 150      11.511  30.425   6.003  1.00 19.21           C\nATOM   1226  N   HIS A 151      14.582  29.051   6.937  1.00 24.30           N\nATOM   1227  CA  HIS A 151      15.138  27.957   7.761  1.00 23.64           C\nATOM   1228  C   HIS A 151      14.215  26.783   8.074  1.00 23.43           C\nATOM   1229  O   HIS A 151      14.199  26.218   9.178  1.00 24.50           O\nATOM   1230  CB  HIS A 151      15.676  28.499   9.094  1.00 23.29           C\nATOM   1231  CG  HIS A 151      16.852  29.388   8.805  1.00 23.87           C\nATOM   1232  ND1 HIS A 151      18.108  29.030   8.632  1.00 24.31           N\nATOM   1233  CD2 HIS A 151      16.746  30.729   8.550  1.00 25.07           C\nATOM   1234  CE1 HIS A 151      18.780  30.079   8.272  1.00 24.53           C\nATOM   1235  NE2 HIS A 151      17.946  31.101   8.223  1.00 25.66           N\nATOM   1236  N   VAL A 152      13.455  26.367   7.066  1.00 23.29           N\nATOM   1237  CA  VAL A 152      12.518  25.236   7.151  1.00 23.03           C\nATOM   1238  C   VAL A 152      13.224  23.933   7.524  1.00 23.26           C\nATOM   1239  O   VAL A 152      12.741  23.147   8.338  1.00 24.54           O\nATOM   1240  CB  VAL A 152      11.767  25.086   5.785  1.00 21.28           C\nATOM   1241  CG1 VAL A 152      11.032  23.763   5.583  1.00 18.94           C\nATOM   1242  CG2 VAL A 152      10.714  26.182   5.758  1.00 21.05           C\nATOM   1243  N   ALA A 153      14.398  23.714   6.926  1.00 23.70           N\nATOM   1244  CA  ALA A 153      15.136  22.477   7.069  1.00 23.43           C\nATOM   1245  C   ALA A 153      15.510  22.283   8.516  1.00 23.92           C\nATOM   1246  O   ALA A 153      15.307  21.180   9.022  1.00 24.67           O\nATOM   1247  CB  ALA A 153      16.407  22.489   6.256  1.00 21.45           C\nATOM   1248  N   GLU A 154      15.948  23.347   9.199  1.00 23.89           N\nATOM   1249  CA  GLU A 154      16.290  23.250  10.594  1.00 23.63           C\nATOM   1250  C   GLU A 154      15.123  22.749  11.411  1.00 23.70           C\nATOM   1251  O   GLU A 154      15.327  21.843  12.218  1.00 24.37           O\nATOM   1252  CB  GLU A 154      16.751  24.600  11.099  1.00 24.82           C\nATOM   1253  CG  GLU A 154      18.170  24.865  10.652  1.00 27.71           C\nATOM   1254  CD  GLU A 154      18.319  25.818   9.471  1.00 30.99           C\nATOM   1255  OE1 GLU A 154      17.561  25.768   8.496  1.00 31.15           O\nATOM   1256  OE2 GLU A 154      19.201  26.667   9.533  1.00 33.27           O\nATOM   1257  N   GLN A 155      13.895  23.227  11.208  1.00 23.35           N\nATOM   1258  CA  GLN A 155      12.755  22.661  11.918  1.00 25.09           C\nATOM   1259  C   GLN A 155      12.550  21.183  11.576  1.00 24.57           C\nATOM   1260  O   GLN A 155      12.308  20.334  12.440  1.00 23.64           O\nATOM   1261  CB  GLN A 155      11.451  23.320  11.571  1.00 27.68           C\nATOM   1262  CG  GLN A 155      11.317  24.798  11.837  1.00 33.26           C\nATOM   1263  CD  GLN A 155       9.944  25.224  11.356  1.00 37.61           C\nATOM   1264  OE1 GLN A 155       9.538  24.970  10.221  1.00 40.07           O\nATOM   1265  NE2 GLN A 155       9.144  25.833  12.220  1.00 40.55           N\nATOM   1266  N   LEU A 156      12.654  20.849  10.293  1.00 23.72           N\nATOM   1267  CA  LEU A 156      12.476  19.480   9.875  1.00 22.57           C\nATOM   1268  C   LEU A 156      13.505  18.482  10.392  1.00 21.09           C\nATOM   1269  O   LEU A 156      13.127  17.393  10.821  1.00 19.69           O\nATOM   1270  CB  LEU A 156      12.439  19.462   8.372  1.00 22.15           C\nATOM   1271  CG  LEU A 156      11.130  19.920   7.778  1.00 20.94           C\nATOM   1272  CD1 LEU A 156      11.357  20.032   6.289  1.00 21.15           C\nATOM   1273  CD2 LEU A 156       9.995  18.946   8.096  1.00 19.95           C\nATOM   1274  N   ARG A 157      14.783  18.839  10.422  1.00 20.19           N\nATOM   1275  CA  ARG A 157      15.852  17.995  10.914  1.00 20.21           C\nATOM   1276  C   ARG A 157      15.550  17.664  12.374  1.00 19.72           C\nATOM   1277  O   ARG A 157      15.501  16.503  12.774  1.00 19.93           O\nATOM   1278  CB  ARG A 157      17.145  18.760  10.792  1.00 21.51           C\nATOM   1279  CG  ARG A 157      18.316  17.921  11.117  1.00 24.35           C\nATOM   1280  CD  ARG A 157      19.634  18.674  11.338  1.00 27.78           C\nATOM   1281  NE  ARG A 157      20.503  17.564  11.599  1.00 33.67           N\nATOM   1282  CZ  ARG A 157      21.621  17.287  10.935  1.00 38.01           C\nATOM   1283  NH1 ARG A 157      22.064  18.093   9.952  1.00 40.04           N\nATOM   1284  NH2 ARG A 157      22.166  16.077  11.149  1.00 39.65           N\nATOM   1285  N   ALA A 158      15.218  18.706  13.138  1.00 18.67           N\nATOM   1286  CA  ALA A 158      14.881  18.602  14.539  1.00 17.50           C\nATOM   1287  C   ALA A 158      13.775  17.578  14.791  1.00 17.07           C\nATOM   1288  O   ALA A 158      13.943  16.686  15.647  1.00 17.49           O\nATOM   1289  CB  ALA A 158      14.451  19.981  15.025  1.00 17.80           C\nATOM   1290  N   TYR A 159      12.677  17.635  14.033  1.00 15.59           N\nATOM   1291  CA  TYR A 159      11.622  16.639  14.154  1.00 15.41           C\nATOM   1292  C   TYR A 159      12.057  15.238  13.741  1.00 15.14           C\nATOM   1293  O   TYR A 159      11.776  14.268  14.441  1.00 16.36           O\nATOM   1294  CB  TYR A 159      10.413  17.064  13.315  1.00 14.37           C\nATOM   1295  CG  TYR A 159       9.347  15.991  13.081  1.00 13.71           C\nATOM   1296  CD1 TYR A 159       8.359  15.710  14.025  1.00 13.58           C\nATOM   1297  CD2 TYR A 159       9.359  15.285  11.869  1.00 13.83           C\nATOM   1298  CE1 TYR A 159       7.386  14.737  13.762  1.00 13.06           C\nATOM   1299  CE2 TYR A 159       8.394  14.318  11.597  1.00 13.33           C\nATOM   1300  CZ  TYR A 159       7.416  14.054  12.539  1.00 12.24           C\nATOM   1301  OH  TYR A 159       6.469  13.107  12.231  1.00 13.60           O\nATOM   1302  N   LEU A 160      12.712  15.093  12.597  1.00 17.27           N\nATOM   1303  CA  LEU A 160      13.106  13.802  12.039  1.00 17.38           C\nATOM   1304  C   LEU A 160      14.146  13.084  12.881  1.00 18.48           C\nATOM   1305  O   LEU A 160      14.042  11.862  12.991  1.00 18.90           O\nATOM   1306  CB  LEU A 160      13.635  13.988  10.573  1.00 16.47           C\nATOM   1307  CG  LEU A 160      12.608  14.502   9.531  1.00 14.28           C\nATOM   1308  CD1 LEU A 160      13.367  14.893   8.295  1.00 13.45           C\nATOM   1309  CD2 LEU A 160      11.529  13.470   9.245  1.00 12.07           C\nATOM   1310  N   GLU A 161      15.110  13.792  13.481  1.00 18.65           N\nATOM   1311  CA  GLU A 161      16.065  13.203  14.401  1.00 19.43           C\nATOM   1312  C   GLU A 161      15.518  12.999  15.824  1.00 20.26           C\nATOM   1313  O   GLU A 161      16.018  12.126  16.561  1.00 21.64           O\nATOM   1314  CB  GLU A 161      17.305  14.074  14.452  1.00 18.92           C\nATOM   1315  CG  GLU A 161      18.031  14.005  13.130  1.00 23.36           C\nATOM   1316  CD  GLU A 161      19.306  14.815  12.968  1.00 26.34           C\nATOM   1317  OE1 GLU A 161      19.682  15.595  13.845  1.00 28.70           O\nATOM   1318  OE2 GLU A 161      19.951  14.707  11.917  1.00 29.16           O\nATOM   1319  N   GLY A 162      14.503  13.777  16.245  1.00 19.32           N\nATOM   1320  CA  GLY A 162      13.922  13.660  17.573  1.00 17.07           C\nATOM   1321  C   GLY A 162      12.578  12.953  17.558  1.00 16.01           C\nATOM   1322  O   GLY A 162      12.488  11.733  17.356  1.00 17.28           O\nATOM   1323  N   THR A 163      11.519  13.734  17.649  1.00 13.65           N\nATOM   1324  CA  THR A 163      10.152  13.252  17.673  1.00 15.11           C\nATOM   1325  C   THR A 163       9.764  12.054  16.813  1.00 15.24           C\nATOM   1326  O   THR A 163       9.039  11.177  17.310  1.00 15.31           O\nATOM   1327  CB  THR A 163       9.225  14.422  17.311  1.00 15.09           C\nATOM   1328  OG1 THR A 163       9.699  15.532  18.068  1.00 19.78           O\nATOM   1329  CG2 THR A 163       7.757  14.162  17.577  1.00 16.62           C\nATOM   1330  N   CYS A 164      10.235  11.952  15.558  1.00 15.89           N\nATOM   1331  CA  CYS A 164       9.816  10.885  14.651  1.00 16.30           C\nATOM   1332  C   CYS A 164      10.288   9.513  15.142  1.00 16.89           C\nATOM   1333  O   CYS A 164       9.487   8.575  15.295  1.00 15.50           O\nATOM   1334  CB  CYS A 164      10.367  11.186  13.245  1.00 18.06           C\nATOM   1335  SG  CYS A 164       9.746  10.079  11.955  1.00 18.19           S\nATOM   1336  N   VAL A 165      11.584   9.461  15.508  1.00 16.88           N\nATOM   1337  CA  VAL A 165      12.246   8.258  15.986  1.00 17.26           C\nATOM   1338  C   VAL A 165      11.698   7.849  17.357  1.00 16.50           C\nATOM   1339  O   VAL A 165      11.470   6.664  17.634  1.00 14.79           O\nATOM   1340  CB  VAL A 165      13.759   8.603  15.964  1.00 18.43           C\nATOM   1341  CG1 VAL A 165      14.610   7.622  16.716  1.00 21.11           C\nATOM   1342  CG2 VAL A 165      14.230   8.483  14.501  1.00 18.46           C\nATOM   1343  N   GLU A 166      11.475   8.845  18.228  1.00 16.71           N\nATOM   1344  CA  GLU A 166      10.889   8.645  19.529  1.00 15.98           C\nATOM   1345  C   GLU A 166       9.528   7.980  19.446  1.00 15.80           C\nATOM   1346  O   GLU A 166       9.309   6.940  20.094  1.00 16.79           O\nATOM   1347  CB  GLU A 166      10.729   9.967  20.221  1.00 17.37           C\nATOM   1348  CG  GLU A 166      12.032  10.646  20.594  1.00 22.15           C\nATOM   1349  CD  GLU A 166      11.886  12.133  20.943  1.00 23.76           C\nATOM   1350  OE1 GLU A 166      10.778  12.632  21.176  1.00 27.23           O\nATOM   1351  OE2 GLU A 166      12.911  12.811  20.952  1.00 25.96           O\nATOM   1352  N   TRP A 167       8.606   8.501  18.628  1.00 14.34           N\nATOM   1353  CA  TRP A 167       7.278   7.917  18.563  1.00 12.96           C\nATOM   1354  C   TRP A 167       7.264   6.624  17.776  1.00 12.59           C\nATOM   1355  O   TRP A 167       6.469   5.749  18.095  1.00 10.51           O\nATOM   1356  CB  TRP A 167       6.299   8.945  17.974  1.00 13.90           C\nATOM   1357  CG  TRP A 167       5.950  10.005  19.024  1.00 14.27           C\nATOM   1358  CD1 TRP A 167       6.775  11.064  19.308  1.00 14.80           C\nATOM   1359  CD2 TRP A 167       4.831   9.979  19.818  1.00 14.48           C\nATOM   1360  NE1 TRP A 167       6.196  11.711  20.285  1.00 16.00           N\nATOM   1361  CE2 TRP A 167       5.032  11.107  20.626  1.00 15.33           C\nATOM   1362  CE3 TRP A 167       3.694   9.173  19.966  1.00 13.29           C\nATOM   1363  CZ2 TRP A 167       4.080  11.428  21.601  1.00 13.94           C\nATOM   1364  CZ3 TRP A 167       2.755   9.504  20.931  1.00 12.39           C\nATOM   1365  CH2 TRP A 167       2.949  10.620  21.739  1.00 13.96           C\nATOM   1366  N   LEU A 168       8.162   6.428  16.801  1.00 13.70           N\nATOM   1367  CA  LEU A 168       8.274   5.158  16.108  1.00 14.21           C\nATOM   1368  C   LEU A 168       8.543   4.057  17.122  1.00 16.32           C\nATOM   1369  O   LEU A 168       7.771   3.089  17.200  1.00 16.46           O\nATOM   1370  CB  LEU A 168       9.415   5.198  15.090  1.00 12.91           C\nATOM   1371  CG  LEU A 168       9.787   3.949  14.261  1.00 10.27           C\nATOM   1372  CD1 LEU A 168       8.555   3.246  13.714  1.00 11.63           C\nATOM   1373  CD2 LEU A 168      10.725   4.409  13.156  1.00  9.56           C\nATOM   1374  N   ARG A 169       9.584   4.194  17.950  1.00 18.52           N\nATOM   1375  CA  ARG A 169       9.782   3.126  18.915  1.00 20.19           C\nATOM   1376  C   ARG A 169       8.744   3.128  20.018  1.00 19.04           C\nATOM   1377  O   ARG A 169       8.545   2.055  20.576  1.00 20.66           O\nATOM   1378  CB  ARG A 169      11.192   3.160  19.473  1.00 20.36           C\nATOM   1379  CG  ARG A 169      11.713   4.346  20.123  1.00 22.92           C\nATOM   1380  CD  ARG A 169      13.211   4.252  19.960  1.00 24.10           C\nATOM   1381  NE  ARG A 169      13.676   5.574  20.320  1.00 26.22           N\nATOM   1382  CZ  ARG A 169      14.692   6.178  19.707  1.00 27.58           C\nATOM   1383  NH1 ARG A 169      15.343   5.544  18.713  1.00 30.42           N\nATOM   1384  NH2 ARG A 169      14.977   7.454  20.045  1.00 27.09           N\nATOM   1385  N   ARG A 170       8.015   4.201  20.355  1.00 18.42           N\nATOM   1386  CA  ARG A 170       6.822   4.068  21.202  1.00 17.02           C\nATOM   1387  C   ARG A 170       5.814   3.138  20.516  1.00 17.19           C\nATOM   1388  O   ARG A 170       5.231   2.245  21.154  1.00 17.11           O\nATOM   1389  CB  ARG A 170       6.142   5.432  21.443  1.00 16.72           C\nATOM   1390  CG  ARG A 170       4.750   5.267  22.054  1.00 19.43           C\nATOM   1391  CD  ARG A 170       4.204   6.517  22.675  1.00 23.33           C\nATOM   1392  NE  ARG A 170       2.775   6.387  22.942  1.00 27.81           N\nATOM   1393  CZ  ARG A 170       2.255   5.798  24.024  1.00 29.03           C\nATOM   1394  NH1 ARG A 170       3.035   5.260  24.959  1.00 31.06           N\nATOM   1395  NH2 ARG A 170       0.939   5.799  24.178  1.00 31.88           N\nATOM   1396  N   TYR A 171       5.613   3.284  19.199  1.00 15.48           N\nATOM   1397  CA  TYR A 171       4.644   2.488  18.472  1.00 14.73           C\nATOM   1398  C   TYR A 171       5.097   1.041  18.412  1.00 14.76           C\nATOM   1399  O   TYR A 171       4.278   0.128  18.564  1.00 16.40           O\nATOM   1400  CB  TYR A 171       4.461   3.035  17.036  1.00 14.72           C\nATOM   1401  CG  TYR A 171       3.826   4.439  16.955  1.00 16.14           C\nATOM   1402  CD1 TYR A 171       3.023   4.931  18.005  1.00 16.62           C\nATOM   1403  CD2 TYR A 171       4.086   5.257  15.858  1.00 15.11           C\nATOM   1404  CE1 TYR A 171       2.496   6.220  17.969  1.00 17.68           C\nATOM   1405  CE2 TYR A 171       3.567   6.548  15.814  1.00 16.61           C\nATOM   1406  CZ  TYR A 171       2.781   7.022  16.861  1.00 17.33           C\nATOM   1407  OH  TYR A 171       2.273   8.305  16.799  1.00 18.32           O\nATOM   1408  N   LEU A 172       6.403   0.847  18.230  1.00 14.54           N\nATOM   1409  CA  LEU A 172       7.016  -0.474  18.188  1.00 16.30           C\nATOM   1410  C   LEU A 172       6.800  -1.245  19.480  1.00 18.22           C\nATOM   1411  O   LEU A 172       6.294  -2.377  19.393  1.00 17.17           O\nATOM   1412  CB  LEU A 172       8.531  -0.360  17.881  1.00 13.76           C\nATOM   1413  CG  LEU A 172       8.884   0.120  16.445  1.00 12.53           C\nATOM   1414  CD1 LEU A 172      10.351   0.511  16.392  1.00 11.63           C\nATOM   1415  CD2 LEU A 172       8.444  -0.943  15.432  1.00 10.03           C\nATOM   1416  N   GLU A 173       7.023  -0.643  20.662  1.00 19.12           N\nATOM   1417  CA  GLU A 173       6.783  -1.455  21.850  1.00 22.61           C\nATOM   1418  C   GLU A 173       5.295  -1.553  22.133  1.00 21.58           C\nATOM   1419  O   GLU A 173       4.786  -2.610  22.482  1.00 20.41           O\nATOM   1420  CB  GLU A 173       7.529  -0.884  23.082  1.00 27.33           C\nATOM   1421  CG  GLU A 173       7.659  -1.913  24.279  1.00 33.76           C\nATOM   1422  CD  GLU A 173       8.212  -3.362  24.058  1.00 37.41           C\nATOM   1423  OE1 GLU A 173       9.072  -3.609  23.177  1.00 37.20           O\nATOM   1424  OE2 GLU A 173       7.786  -4.267  24.806  1.00 37.75           O\nATOM   1425  N   ASN A 174       4.491  -0.514  21.896  1.00 22.94           N\nATOM   1426  CA  ASN A 174       3.049  -0.568  22.162  1.00 23.59           C\nATOM   1427  C   ASN A 174       2.301  -1.482  21.207  1.00 24.83           C\nATOM   1428  O   ASN A 174       1.276  -2.062  21.557  1.00 23.97           O\nATOM   1429  CB  ASN A 174       2.423   0.835  22.091  1.00 24.91           C\nATOM   1430  CG  ASN A 174       2.683   1.758  23.294  1.00 25.65           C\nATOM   1431  OD1 ASN A 174       2.177   2.878  23.381  1.00 26.93           O\nATOM   1432  ND2 ASN A 174       3.464   1.430  24.319  1.00 26.69           N\nATOM   1433  N   GLY A 175       2.813  -1.695  19.996  1.00 26.32           N\nATOM   1434  CA  GLY A 175       2.194  -2.608  19.057  1.00 26.73           C\nATOM   1435  C   GLY A 175       3.062  -3.816  18.771  1.00 27.49           C\nATOM   1436  O   GLY A 175       2.897  -4.430  17.708  1.00 27.41           O\nATOM   1437  N   LYS A 176       3.967  -4.198  19.678  1.00 28.53           N\nATOM   1438  CA  LYS A 176       4.885  -5.321  19.511  1.00 30.89           C\nATOM   1439  C   LYS A 176       4.317  -6.623  18.934  1.00 31.74           C\nATOM   1440  O   LYS A 176       4.959  -7.195  18.059  1.00 31.97           O\nATOM   1441  CB  LYS A 176       5.527  -5.589  20.872  1.00 32.27           C\nATOM   1442  CG  LYS A 176       6.464  -6.785  20.938  1.00 33.07           C\nATOM   1443  CD  LYS A 176       6.902  -7.021  22.358  1.00 35.75           C\nATOM   1444  CE  LYS A 176       8.007  -8.055  22.346  1.00 36.20           C\nATOM   1445  NZ  LYS A 176       8.084  -8.640  23.668  1.00 39.64           N\nATOM   1446  N   GLU A 177       3.150  -7.150  19.330  1.00 33.00           N\nATOM   1447  CA  GLU A 177       2.556  -8.354  18.747  1.00 33.61           C\nATOM   1448  C   GLU A 177       2.284  -8.264  17.247  1.00 32.53           C\nATOM   1449  O   GLU A 177       2.361  -9.245  16.513  1.00 32.55           O\nATOM   1450  CB  GLU A 177       1.254  -8.645  19.422  1.00 36.48           C\nATOM   1451  CG  GLU A 177       1.367  -8.842  20.916  1.00 41.22           C\nATOM   1452  CD  GLU A 177       0.023  -8.538  21.552  1.00 43.78           C\nATOM   1453  OE1 GLU A 177      -0.866  -9.392  21.482  1.00 44.40           O\nATOM   1454  OE2 GLU A 177      -0.121  -7.426  22.073  1.00 45.44           O\nATOM   1455  N   THR A 178       1.869  -7.091  16.785  1.00 31.03           N\nATOM   1456  CA  THR A 178       1.663  -6.844  15.379  1.00 29.28           C\nATOM   1457  C   THR A 178       2.985  -6.474  14.716  1.00 28.54           C\nATOM   1458  O   THR A 178       3.452  -7.199  13.842  1.00 30.43           O\nATOM   1459  CB  THR A 178       0.632  -5.713  15.273  1.00 30.19           C\nATOM   1460  OG1 THR A 178      -0.538  -6.196  15.939  1.00 29.39           O\nATOM   1461  CG2 THR A 178       0.384  -5.258  13.817  1.00 31.18           C\nATOM   1462  N   LEU A 179       3.628  -5.386  15.124  1.00 26.62           N\nATOM   1463  CA  LEU A 179       4.818  -4.832  14.486  1.00 25.45           C\nATOM   1464  C   LEU A 179       6.132  -5.574  14.657  1.00 26.56           C\nATOM   1465  O   LEU A 179       7.038  -5.479  13.825  1.00 25.80           O\nATOM   1466  CB  LEU A 179       5.004  -3.391  14.971  1.00 23.45           C\nATOM   1467  CG  LEU A 179       3.762  -2.517  14.894  1.00 20.05           C\nATOM   1468  CD1 LEU A 179       4.055  -1.172  15.540  1.00 18.81           C\nATOM   1469  CD2 LEU A 179       3.329  -2.406  13.444  1.00 18.84           C\nATOM   1470  N   GLN A 180       6.340  -6.262  15.776  1.00 26.38           N\nATOM   1471  CA  GLN A 180       7.529  -7.064  15.896  1.00 26.19           C\nATOM   1472  C   GLN A 180       7.136  -8.504  15.543  1.00 27.30           C\nATOM   1473  O   GLN A 180       7.795  -9.434  15.989  1.00 30.29           O\nATOM   1474  CB  GLN A 180       8.054  -6.874  17.318  1.00 23.99           C\nATOM   1475  CG  GLN A 180       8.466  -5.414  17.510  1.00 23.27           C\nATOM   1476  CD  GLN A 180       9.080  -5.046  18.849  1.00 23.84           C\nATOM   1477  OE1 GLN A 180       8.519  -4.337  19.684  1.00 22.30           O\nATOM   1478  NE2 GLN A 180      10.296  -5.493  19.107  1.00 23.55           N\nATOM   1479  N   ARG A 181       6.089  -8.773  14.751  1.00 27.90           N\nATOM   1480  CA  ARG A 181       5.759 -10.131  14.324  1.00 28.36           C\nATOM   1481  C   ARG A 181       6.422 -10.330  12.962  1.00 29.04           C\nATOM   1482  O   ARG A 181       6.911  -9.390  12.326  1.00 30.35           O\nATOM   1483  CB  ARG A 181       4.247 -10.364  14.104  1.00 28.69           C\nATOM   1484  CG  ARG A 181       3.583 -10.071  12.726  1.00 27.11           C\nATOM   1485  CD  ARG A 181       2.077 -10.124  12.891  1.00 25.55           C\nATOM   1486  NE  ARG A 181       1.369 -10.024  11.636  1.00 24.59           N\nATOM   1487  CZ  ARG A 181       1.105  -8.877  11.000  1.00 23.86           C\nATOM   1488  NH1 ARG A 181       1.501  -7.684  11.493  1.00 23.19           N\nATOM   1489  NH2 ARG A 181       0.477  -8.987   9.830  1.00 22.23           N\nATOM   1490  N   THR A 182       6.278 -11.557  12.478  1.00 27.61           N\nATOM   1491  CA  THR A 182       6.784 -11.972  11.191  1.00 25.32           C\nATOM   1492  C   THR A 182       5.893 -13.178  10.898  1.00 24.17           C\nATOM   1493  O   THR A 182       5.820 -14.107  11.745  1.00 24.27           O\nATOM   1494  CB  THR A 182       8.313 -12.235  11.405  1.00 25.75           C\nATOM   1495  OG1 THR A 182       8.956 -11.654  10.328  1.00 26.92           O\nATOM   1496  CG2 THR A 182       8.733 -13.667  11.511  1.00 24.16           C\nATOM   1497  N   ASP A 183       5.112 -13.148   9.828  1.00 20.89           N\nATOM   1498  CA  ASP A 183       4.293 -14.301   9.418  1.00 20.08           C\nATOM   1499  C   ASP A 183       5.012 -14.867   8.200  1.00 19.14           C\nATOM   1500  O   ASP A 183       5.418 -14.176   7.237  1.00 18.77           O\nATOM   1501  CB  ASP A 183       2.880 -13.906   9.005  1.00 21.35           C\nATOM   1502  CG  ASP A 183       2.112 -13.044  10.014  1.00 24.84           C\nATOM   1503  OD1 ASP A 183       2.190 -13.296  11.215  1.00 25.60           O\nATOM   1504  OD2 ASP A 183       1.446 -12.071   9.632  1.00 27.11           O\nATOM   1505  N   ALA A 184       5.288 -16.164   8.291  1.00 18.40           N\nATOM   1506  CA  ALA A 184       6.031 -16.889   7.265  1.00 14.83           C\nATOM   1507  C   ALA A 184       5.067 -17.274   6.166  1.00 13.47           C\nATOM   1508  O   ALA A 184       3.905 -17.568   6.451  1.00 11.33           O\nATOM   1509  CB  ALA A 184       6.618 -18.173   7.795  1.00 14.46           C\nATOM   1510  N   PRO A 185       5.477 -17.255   4.888  1.00 13.19           N\nATOM   1511  CA  PRO A 185       4.625 -17.700   3.791  1.00 13.82           C\nATOM   1512  C   PRO A 185       4.191 -19.159   3.826  1.00 15.07           C\nATOM   1513  O   PRO A 185       4.946 -20.103   4.092  1.00 16.52           O\nATOM   1514  CB  PRO A 185       5.432 -17.343   2.553  1.00 11.70           C\nATOM   1515  CG  PRO A 185       6.867 -17.312   2.997  1.00 12.42           C\nATOM   1516  CD  PRO A 185       6.799 -16.831   4.436  1.00 12.00           C\nATOM   1517  N   LYS A 186       2.917 -19.352   3.565  1.00 16.27           N\nATOM   1518  CA  LYS A 186       2.369 -20.680   3.384  1.00 17.35           C\nATOM   1519  C   LYS A 186       2.527 -20.876   1.877  1.00 16.85           C\nATOM   1520  O   LYS A 186       1.967 -20.075   1.120  1.00 12.70           O\nATOM   1521  CB  LYS A 186       0.917 -20.668   3.816  1.00 19.95           C\nATOM   1522  CG  LYS A 186       0.723 -20.298   5.295  1.00 24.43           C\nATOM   1523  CD  LYS A 186      -0.772 -20.120   5.498  1.00 29.18           C\nATOM   1524  CE  LYS A 186      -1.141 -19.852   6.956  1.00 32.34           C\nATOM   1525  NZ  LYS A 186      -2.582 -19.969   7.071  1.00 34.21           N\nATOM   1526  N   THR A 187       3.309 -21.885   1.441  1.00 17.44           N\nATOM   1527  CA  THR A 187       3.582 -22.102   0.029  1.00 18.42           C\nATOM   1528  C   THR A 187       2.926 -23.316  -0.628  1.00 19.18           C\nATOM   1529  O   THR A 187       2.525 -24.270   0.044  1.00 19.89           O\nATOM   1530  CB  THR A 187       5.110 -22.175  -0.154  1.00 19.26           C\nATOM   1531  OG1 THR A 187       5.556 -23.225   0.688  1.00 20.84           O\nATOM   1532  CG2 THR A 187       5.825 -20.857   0.187  1.00 18.52           C\nATOM   1533  N   HIS A 188       2.700 -23.318  -1.946  1.00 18.32           N\nATOM   1534  CA  HIS A 188       2.236 -24.507  -2.648  1.00 17.22           C\nATOM   1535  C   HIS A 188       2.421 -24.231  -4.123  1.00 18.08           C\nATOM   1536  O   HIS A 188       2.620 -23.084  -4.530  1.00 17.03           O\nATOM   1537  CB  HIS A 188       0.741 -24.820  -2.378  1.00 16.63           C\nATOM   1538  CG  HIS A 188      -0.306 -23.918  -3.023  1.00 15.68           C\nATOM   1539  ND1 HIS A 188      -0.742 -22.728  -2.633  1.00 14.57           N\nATOM   1540  CD2 HIS A 188      -1.001 -24.246  -4.155  1.00 15.12           C\nATOM   1541  CE1 HIS A 188      -1.665 -22.324  -3.466  1.00 14.71           C\nATOM   1542  NE2 HIS A 188      -1.808 -23.244  -4.374  1.00 14.44           N\nATOM   1543  N   MET A 189       2.281 -25.263  -4.934  1.00 18.56           N\nATOM   1544  CA  MET A 189       2.411 -25.173  -6.369  1.00 19.39           C\nATOM   1545  C   MET A 189       1.114 -25.611  -7.017  1.00 21.02           C\nATOM   1546  O   MET A 189       0.351 -26.385  -6.419  1.00 21.01           O\nATOM   1547  CB  MET A 189       3.510 -26.099  -6.867  1.00 20.03           C\nATOM   1548  CG  MET A 189       4.838 -25.458  -7.153  1.00 21.58           C\nATOM   1549  SD  MET A 189       6.114 -26.701  -7.366  1.00 23.67           S\nATOM   1550  CE  MET A 189       7.375 -25.825  -6.512  1.00 19.79           C\nATOM   1551  N   THR A 190       0.835 -25.139  -8.234  1.00 22.08           N\nATOM   1552  CA  THR A 190      -0.252 -25.645  -9.060  1.00 22.13           C\nATOM   1553  C   THR A 190       0.309 -25.986 -10.459  1.00 23.31           C\nATOM   1554  O   THR A 190       1.353 -25.461 -10.876  1.00 22.67           O\nATOM   1555  CB  THR A 190      -1.376 -24.592  -9.143  1.00 22.47           C\nATOM   1556  OG1 THR A 190      -0.814 -23.311  -9.440  1.00 22.41           O\nATOM   1557  CG2 THR A 190      -2.162 -24.573  -7.849  1.00 21.41           C\nATOM   1558  N   HIS A 191      -0.341 -26.867 -11.215  1.00 25.03           N\nATOM   1559  CA  HIS A 191       0.162 -27.325 -12.498  1.00 27.60           C\nATOM   1560  C   HIS A 191      -0.993 -27.238 -13.473  1.00 29.60           C\nATOM   1561  O   HIS A 191      -1.988 -27.922 -13.258  1.00 29.40           O\nATOM   1562  CB  HIS A 191       0.652 -28.786 -12.356  1.00 27.40           C\nATOM   1563  CG  HIS A 191       1.371 -29.464 -13.520  1.00 26.05           C\nATOM   1564  ND1 HIS A 191       0.873 -30.128 -14.562  1.00 25.90           N\nATOM   1565  CD2 HIS A 191       2.731 -29.504 -13.634  1.00 25.64           C\nATOM   1566  CE1 HIS A 191       1.870 -30.559 -15.285  1.00 24.26           C\nATOM   1567  NE2 HIS A 191       2.973 -30.173 -14.719  1.00 25.18           N\nATOM   1568  N   HIS A 192      -0.948 -26.462 -14.551  1.00 33.26           N\nATOM   1569  CA  HIS A 192      -2.077 -26.405 -15.462  1.00 36.83           C\nATOM   1570  C   HIS A 192      -1.595 -26.655 -16.863  1.00 37.74           C\nATOM   1571  O   HIS A 192      -0.645 -26.055 -17.369  1.00 36.25           O\nATOM   1572  CB  HIS A 192      -2.799 -25.036 -15.466  1.00 39.15           C\nATOM   1573  CG  HIS A 192      -4.017 -24.996 -16.413  1.00 43.55           C\nATOM   1574  ND1 HIS A 192      -4.213 -24.239 -17.504  1.00 44.66           N\nATOM   1575  CD2 HIS A 192      -5.144 -25.791 -16.282  1.00 44.96           C\nATOM   1576  CE1 HIS A 192      -5.384 -24.534 -18.022  1.00 45.04           C\nATOM   1577  NE2 HIS A 192      -5.934 -25.468 -17.282  1.00 45.79           N\nATOM   1578  N   ALA A 193      -2.335 -27.596 -17.433  1.00 40.00           N\nATOM   1579  CA  ALA A 193      -2.186 -27.968 -18.829  1.00 42.35           C\nATOM   1580  C   ALA A 193      -2.358 -26.752 -19.738  1.00 43.39           C\nATOM   1581  O   ALA A 193      -3.398 -26.081 -19.672  1.00 43.23           O\nATOM   1582  CB  ALA A 193      -3.244 -29.000 -19.183  1.00 42.18           C\nATOM   1583  N   VAL A 194      -1.299 -26.386 -20.458  1.00 44.58           N\nATOM   1584  CA  VAL A 194      -1.401 -25.305 -21.420  1.00 46.39           C\nATOM   1585  C   VAL A 194      -1.739 -26.000 -22.733  1.00 47.40           C\nATOM   1586  O   VAL A 194      -2.664 -25.605 -23.442  1.00 48.00           O\nATOM   1587  CB  VAL A 194      -0.067 -24.529 -21.571  0.00 46.30           C\nATOM   1588  CG1 VAL A 194      -0.191 -23.428 -22.617  0.00 46.41           C\nATOM   1589  CG2 VAL A 194       0.284 -23.876 -20.253  0.00 46.41           C\nATOM   1590  N   SER A 195      -0.986 -27.053 -23.074  1.00 47.59           N\nATOM   1591  CA  SER A 195      -1.191 -27.810 -24.294  1.00 46.13           C\nATOM   1592  C   SER A 195      -0.700 -29.226 -24.009  1.00 45.07           C\nATOM   1593  O   SER A 195      -0.331 -29.585 -22.874  1.00 43.95           O\nATOM   1594  CB  SER A 195      -0.385 -27.149 -25.454  1.00 46.08           C\nATOM   1595  OG  SER A 195       1.028 -27.005 -25.265  1.00 45.86           O\nATOM   1596  N   ASP A 196      -0.678 -29.983 -25.100  1.00 43.73           N\nATOM   1597  CA  ASP A 196      -0.130 -31.335 -25.200  1.00 42.41           C\nATOM   1598  C   ASP A 196       1.364 -31.433 -24.851  1.00 40.55           C\nATOM   1599  O   ASP A 196       1.877 -32.506 -24.519  1.00 41.05           O\nATOM   1600  CB  ASP A 196      -0.352 -31.824 -26.634  0.00 42.40           C\nATOM   1601  CG  ASP A 196       0.079 -30.843 -27.732  0.00 42.51           C\nATOM   1602  OD1 ASP A 196       0.789 -29.870 -27.460  0.00 42.55           O\nATOM   1603  OD2 ASP A 196      -0.335 -31.016 -28.867  0.00 42.55           O\nATOM   1604  N   HIS A 197       2.085 -30.310 -24.912  1.00 38.19           N\nATOM   1605  CA  HIS A 197       3.509 -30.320 -24.671  1.00 36.48           C\nATOM   1606  C   HIS A 197       4.034 -29.273 -23.715  1.00 35.36           C\nATOM   1607  O   HIS A 197       5.252 -29.050 -23.643  1.00 34.52           O\nATOM   1608  CB  HIS A 197       4.210 -30.175 -26.004  1.00 37.67           C\nATOM   1609  CG  HIS A 197       4.062 -28.813 -26.671  1.00 38.25           C\nATOM   1610  ND1 HIS A 197       2.964 -28.186 -27.072  1.00 39.10           N\nATOM   1611  CD2 HIS A 197       5.126 -27.991 -26.974  1.00 39.47           C\nATOM   1612  CE1 HIS A 197       3.308 -27.038 -27.597  1.00 40.86           C\nATOM   1613  NE2 HIS A 197       4.614 -26.929 -27.537  1.00 40.52           N\nATOM   1614  N   GLU A 198       3.144 -28.613 -22.990  1.00 34.82           N\nATOM   1615  CA  GLU A 198       3.539 -27.542 -22.091  1.00 35.43           C\nATOM   1616  C   GLU A 198       2.514 -27.388 -20.995  1.00 33.96           C\nATOM   1617  O   GLU A 198       1.301 -27.582 -21.225  1.00 34.99           O\nATOM   1618  CB  GLU A 198       3.628 -26.209 -22.805  1.00 36.61           C\nATOM   1619  CG  GLU A 198       5.038 -25.872 -23.232  1.00 39.92           C\nATOM   1620  CD  GLU A 198       5.121 -24.859 -24.356  1.00 41.09           C\nATOM   1621  OE1 GLU A 198       4.171 -24.736 -25.134  1.00 42.65           O\nATOM   1622  OE2 GLU A 198       6.194 -24.262 -24.517  1.00 44.01           O\nATOM   1623  N   ALA A 199       3.012 -27.007 -19.808  1.00 31.20           N\nATOM   1624  CA  ALA A 199       2.161 -26.758 -18.653  1.00 27.19           C\nATOM   1625  C   ALA A 199       2.714 -25.618 -17.816  1.00 24.95           C\nATOM   1626  O   ALA A 199       3.920 -25.361 -17.830  1.00 23.01           O\nATOM   1627  CB  ALA A 199       2.071 -27.980 -17.753  1.00 26.00           C\nATOM   1628  N   THR A 200       1.865 -24.870 -17.120  1.00 23.69           N\nATOM   1629  CA  THR A 200       2.372 -23.830 -16.250  1.00 23.05           C\nATOM   1630  C   THR A 200       2.541 -24.425 -14.854  1.00 21.21           C\nATOM   1631  O   THR A 200       1.721 -25.237 -14.392  1.00 20.01           O\nATOM   1632  CB  THR A 200       1.394 -22.642 -16.171  1.00 24.12           C\nATOM   1633  OG1 THR A 200       0.874 -22.427 -17.480  1.00 25.71           O\nATOM   1634  CG2 THR A 200       2.076 -21.366 -15.655  1.00 24.10           C\nATOM   1635  N   LEU A 201       3.672 -24.056 -14.261  1.00 20.53           N\nATOM   1636  CA  LEU A 201       3.969 -24.342 -12.870  1.00 18.96           C\nATOM   1637  C   LEU A 201       3.958 -22.987 -12.174  1.00 17.05           C\nATOM   1638  O   LEU A 201       4.752 -22.105 -12.534  1.00 16.65           O\nATOM   1639  CB  LEU A 201       5.349 -24.987 -12.720  1.00 17.97           C\nATOM   1640  CG  LEU A 201       5.412 -26.504 -12.779  1.00 19.80           C\nATOM   1641  CD1 LEU A 201       6.848 -26.960 -12.541  1.00 19.79           C\nATOM   1642  CD2 LEU A 201       4.504 -27.101 -11.698  1.00 21.73           C\nATOM   1643  N   ARG A 202       3.008 -22.799 -11.250  1.00 16.77           N\nATOM   1644  CA  ARG A 202       2.914 -21.586 -10.444  1.00 16.43           C\nATOM   1645  C   ARG A 202       3.214 -21.866  -8.962  1.00 15.56           C\nATOM   1646  O   ARG A 202       2.632 -22.775  -8.360  1.00 15.22           O\nATOM   1647  CB  ARG A 202       1.523 -20.992 -10.579  1.00 16.01           C\nATOM   1648  CG  ARG A 202       1.336 -19.656  -9.831  1.00 15.54           C\nATOM   1649  CD  ARG A 202      -0.042 -19.082 -10.168  1.00 15.50           C\nATOM   1650  NE  ARG A 202      -0.008 -18.549 -11.529  1.00 14.93           N\nATOM   1651  CZ  ARG A 202      -0.772 -19.013 -12.518  1.00 13.89           C\nATOM   1652  NH1 ARG A 202      -1.654 -19.997 -12.310  1.00 14.47           N\nATOM   1653  NH2 ARG A 202      -0.568 -18.524 -13.736  1.00 16.85           N\nATOM   1654  N   CYS A 203       4.133 -21.086  -8.405  1.00 15.75           N\nATOM   1655  CA  CYS A 203       4.599 -21.190  -7.038  1.00 15.44           C\nATOM   1656  C   CYS A 203       3.932 -20.069  -6.257  1.00 14.70           C\nATOM   1657  O   CYS A 203       4.017 -18.903  -6.627  1.00 14.01           O\nATOM   1658  CB  CYS A 203       6.077 -21.026  -7.055  1.00 16.06           C\nATOM   1659  SG  CYS A 203       6.854 -21.304  -5.453  1.00 21.84           S\nATOM   1660  N   TRP A 204       3.242 -20.418  -5.189  1.00 14.77           N\nATOM   1661  CA  TRP A 204       2.474 -19.492  -4.392  1.00 14.06           C\nATOM   1662  C   TRP A 204       3.090 -19.209  -3.029  1.00 14.40           C\nATOM   1663  O   TRP A 204       3.591 -20.149  -2.387  1.00 13.81           O\nATOM   1664  CB  TRP A 204       1.103 -20.067  -4.187  1.00 13.50           C\nATOM   1665  CG  TRP A 204       0.165 -19.979  -5.371  1.00 15.13           C\nATOM   1666  CD1 TRP A 204       0.015 -20.995  -6.288  1.00 15.94           C\nATOM   1667  CD2 TRP A 204      -0.654 -18.917  -5.597  1.00 16.94           C\nATOM   1668  NE1 TRP A 204      -0.926 -20.582  -7.107  1.00 17.41           N\nATOM   1669  CE2 TRP A 204      -1.353 -19.348  -6.736  1.00 18.75           C\nATOM   1670  CE3 TRP A 204      -0.903 -17.676  -5.002  1.00 18.70           C\nATOM   1671  CZ2 TRP A 204      -2.331 -18.520  -7.300  1.00 19.24           C\nATOM   1672  CZ3 TRP A 204      -1.883 -16.855  -5.569  1.00 19.45           C\nATOM   1673  CH2 TRP A 204      -2.588 -17.278  -6.711  1.00 20.08           C\nATOM   1674  N   ALA A 205       3.061 -17.941  -2.595  1.00 13.62           N\nATOM   1675  CA  ALA A 205       3.414 -17.570  -1.236  1.00 12.31           C\nATOM   1676  C   ALA A 205       2.232 -16.738  -0.745  1.00 11.70           C\nATOM   1677  O   ALA A 205       1.804 -15.727  -1.331  1.00 10.95           O\nATOM   1678  CB  ALA A 205       4.685 -16.738  -1.216  1.00 12.43           C\nATOM   1679  N   LEU A 206       1.640 -17.229   0.340  1.00 11.92           N\nATOM   1680  CA  LEU A 206       0.456 -16.638   0.931  1.00 12.09           C\nATOM   1681  C   LEU A 206       0.592 -16.404   2.446  1.00 13.08           C\nATOM   1682  O   LEU A 206       1.441 -16.984   3.119  1.00 12.70           O\nATOM   1683  CB  LEU A 206      -0.722 -17.567   0.624  1.00 11.97           C\nATOM   1684  CG  LEU A 206      -1.132 -17.879  -0.824  1.00 11.36           C\nATOM   1685  CD1 LEU A 206      -2.236 -18.907  -0.843  1.00 12.47           C\nATOM   1686  CD2 LEU A 206      -1.644 -16.624  -1.481  1.00 10.70           C\nATOM   1687  N   SER A 207      -0.239 -15.509   2.977  1.00 14.94           N\nATOM   1688  CA  SER A 207      -0.313 -15.171   4.399  1.00 15.99           C\nATOM   1689  C   SER A 207       0.964 -14.740   5.107  1.00 15.10           C\nATOM   1690  O   SER A 207       1.126 -15.005   6.304  1.00 16.14           O\nATOM   1691  CB  SER A 207      -0.905 -16.348   5.189  1.00 18.11           C\nATOM   1692  OG  SER A 207      -2.237 -16.695   4.798  1.00 24.48           O\nATOM   1693  N   PHE A 208       1.853 -14.016   4.421  1.00 13.96           N\nATOM   1694  CA  PHE A 208       3.116 -13.593   5.007  1.00 12.79           C\nATOM   1695  C   PHE A 208       3.123 -12.118   5.411  1.00 14.36           C\nATOM   1696  O   PHE A 208       2.405 -11.274   4.842  1.00 12.37           O\nATOM   1697  CB  PHE A 208       4.267 -13.881   4.015  1.00 11.74           C\nATOM   1698  CG  PHE A 208       4.209 -13.264   2.606  1.00 13.68           C\nATOM   1699  CD1 PHE A 208       4.788 -12.005   2.367  1.00 14.80           C\nATOM   1700  CD2 PHE A 208       3.605 -13.954   1.548  1.00 11.62           C\nATOM   1701  CE1 PHE A 208       4.765 -11.444   1.085  1.00 15.28           C\nATOM   1702  CE2 PHE A 208       3.587 -13.378   0.267  1.00 14.46           C\nATOM   1703  CZ  PHE A 208       4.169 -12.131   0.029  1.00 13.21           C\nATOM   1704  N   TYR A 209       3.921 -11.817   6.435  1.00 15.00           N\nATOM   1705  CA  TYR A 209       4.151 -10.448   6.890  1.00 16.33           C\nATOM   1706  C   TYR A 209       5.591 -10.395   7.403  1.00 15.80           C\nATOM   1707  O   TYR A 209       6.000 -11.351   8.068  1.00 17.54           O\nATOM   1708  CB  TYR A 209       3.197 -10.040   8.029  1.00 15.81           C\nATOM   1709  CG  TYR A 209       3.378  -8.584   8.446  1.00 17.53           C\nATOM   1710  CD1 TYR A 209       2.682  -7.572   7.767  1.00 16.71           C\nATOM   1711  CD2 TYR A 209       4.272  -8.269   9.479  1.00 15.88           C\nATOM   1712  CE1 TYR A 209       2.880  -6.236   8.117  1.00 17.73           C\nATOM   1713  CE2 TYR A 209       4.473  -6.932   9.817  1.00 17.37           C\nATOM   1714  CZ  TYR A 209       3.784  -5.922   9.142  1.00 17.11           C\nATOM   1715  OH  TYR A 209       4.014  -4.605   9.491  1.00 16.49           O\nATOM   1716  N   PRO A 210       6.450  -9.393   7.137  1.00 15.38           N\nATOM   1717  CA  PRO A 210       6.173  -8.190   6.330  1.00 15.03           C\nATOM   1718  C   PRO A 210       6.057  -8.434   4.827  1.00 14.37           C\nATOM   1719  O   PRO A 210       6.258  -9.577   4.411  1.00 12.81           O\nATOM   1720  CB  PRO A 210       7.301  -7.271   6.711  1.00 15.10           C\nATOM   1721  CG  PRO A 210       8.435  -8.230   6.894  1.00 15.07           C\nATOM   1722  CD  PRO A 210       7.794  -9.328   7.698  1.00 15.95           C\nATOM   1723  N   ALA A 211       5.773  -7.421   4.010  1.00 14.31           N\nATOM   1724  CA  ALA A 211       5.593  -7.594   2.564  1.00 15.00           C\nATOM   1725  C   ALA A 211       6.822  -7.974   1.740  1.00 15.16           C\nATOM   1726  O   ALA A 211       6.692  -8.558   0.655  1.00 16.09           O\nATOM   1727  CB  ALA A 211       5.047  -6.334   1.950  1.00 13.03           C\nATOM   1728  N   GLU A 212       8.029  -7.564   2.135  1.00 13.74           N\nATOM   1729  CA  GLU A 212       9.257  -7.970   1.470  1.00 14.89           C\nATOM   1730  C   GLU A 212       9.394  -9.515   1.402  1.00 14.67           C\nATOM   1731  O   GLU A 212       9.181 -10.271   2.372  1.00 13.42           O\nATOM   1732  CB  GLU A 212      10.373  -7.267   2.262  1.00 15.76           C\nATOM   1733  CG  GLU A 212      11.813  -7.436   1.842  1.00 21.47           C\nATOM   1734  CD  GLU A 212      12.035  -7.418   0.340  1.00 26.87           C\nATOM   1735  OE1 GLU A 212      12.040  -6.348  -0.268  1.00 29.52           O\nATOM   1736  OE2 GLU A 212      12.179  -8.502  -0.231  1.00 32.42           O\nATOM   1737  N   ILE A 213       9.708 -10.017   0.211  1.00 16.02           N\nATOM   1738  CA  ILE A 213       9.843 -11.452  -0.092  1.00 15.19           C\nATOM   1739  C   ILE A 213      10.586 -11.548  -1.426  1.00 16.18           C\nATOM   1740  O   ILE A 213      10.529 -10.632  -2.259  1.00 15.45           O\nATOM   1741  CB  ILE A 213       8.423 -12.158  -0.196  1.00 13.42           C\nATOM   1742  CG1 ILE A 213       8.624 -13.644  -0.242  1.00 12.38           C\nATOM   1743  CG2 ILE A 213       7.616 -11.667  -1.401  1.00 12.29           C\nATOM   1744  CD1 ILE A 213       7.378 -14.364   0.299  1.00 12.40           C\nATOM   1745  N   THR A 214      11.307 -12.644  -1.630  1.00 16.21           N\nATOM   1746  CA  THR A 214      11.935 -12.959  -2.900  1.00 17.19           C\nATOM   1747  C   THR A 214      11.430 -14.345  -3.295  1.00 16.18           C\nATOM   1748  O   THR A 214      11.571 -15.305  -2.527  1.00 13.80           O\nATOM   1749  CB  THR A 214      13.445 -12.943  -2.715  1.00 18.46           C\nATOM   1750  OG1 THR A 214      13.778 -11.608  -2.305  1.00 20.82           O\nATOM   1751  CG2 THR A 214      14.212 -13.354  -3.994  1.00 19.16           C\nATOM   1752  N   LEU A 215      10.795 -14.411  -4.471  1.00 15.75           N\nATOM   1753  CA  LEU A 215      10.208 -15.638  -4.989  1.00 17.33           C\nATOM   1754  C   LEU A 215      10.766 -15.874  -6.400  1.00 18.60           C\nATOM   1755  O   LEU A 215      10.550 -15.048  -7.306  1.00 18.13           O\nATOM   1756  CB  LEU A 215       8.687 -15.459  -4.984  1.00 16.99           C\nATOM   1757  CG  LEU A 215       7.718 -16.613  -5.202  1.00 18.53           C\nATOM   1758  CD1 LEU A 215       8.013 -17.711  -4.210  1.00 20.08           C\nATOM   1759  CD2 LEU A 215       6.282 -16.144  -5.017  1.00 16.24           C\nATOM   1760  N   THR A 216      11.559 -16.936  -6.606  1.00 18.29           N\nATOM   1761  CA  THR A 216      12.148 -17.179  -7.908  1.00 18.70           C\nATOM   1762  C   THR A 216      12.050 -18.626  -8.397  1.00 17.90           C\nATOM   1763  O   THR A 216      11.872 -19.555  -7.607  1.00 16.07           O\nATOM   1764  CB  THR A 216      13.626 -16.736  -7.881  1.00 18.71           C\nATOM   1765  OG1 THR A 216      14.221 -17.376  -6.774  1.00 22.20           O\nATOM   1766  CG2 THR A 216      13.821 -15.249  -7.704  1.00 19.39           C\nATOM   1767  N   TRP A 217      12.112 -18.846  -9.712  1.00 16.95           N\nATOM   1768  CA  TRP A 217      12.172 -20.192 -10.235  1.00 15.01           C\nATOM   1769  C   TRP A 217      13.573 -20.437 -10.780  1.00 15.28           C\nATOM   1770  O   TRP A 217      14.292 -19.504 -11.160  1.00 14.83           O\nATOM   1771  CB  TRP A 217      11.167 -20.397 -11.344  1.00 13.45           C\nATOM   1772  CG  TRP A 217       9.771 -20.750 -10.883  1.00 10.42           C\nATOM   1773  CD1 TRP A 217       8.797 -19.798 -10.822  1.00 10.19           C\nATOM   1774  CD2 TRP A 217       9.320 -22.006 -10.549  1.00 11.46           C\nATOM   1775  NE1 TRP A 217       7.717 -20.456 -10.471  1.00 12.38           N\nATOM   1776  CE2 TRP A 217       7.970 -21.763 -10.296  1.00 11.33           C\nATOM   1777  CE3 TRP A 217       9.825 -23.294 -10.440  1.00 12.65           C\nATOM   1778  CZ2 TRP A 217       7.099 -22.783  -9.906  1.00 11.23           C\nATOM   1779  CZ3 TRP A 217       8.967 -24.324 -10.051  1.00 12.43           C\nATOM   1780  CH2 TRP A 217       7.618 -24.073  -9.795  1.00 11.71           C\nATOM   1781  N   GLN A 218      14.026 -21.685 -10.758  1.00 15.46           N\nATOM   1782  CA  GLN A 218      15.286 -22.080 -11.340  1.00 16.22           C\nATOM   1783  C   GLN A 218      15.041 -23.303 -12.203  1.00 16.30           C\nATOM   1784  O   GLN A 218      14.058 -24.014 -11.971  1.00 15.85           O\nATOM   1785  CB  GLN A 218      16.290 -22.453 -10.276  1.00 18.37           C\nATOM   1786  CG  GLN A 218      16.904 -21.223  -9.672  1.00 20.09           C\nATOM   1787  CD  GLN A 218      17.773 -21.509  -8.472  1.00 23.27           C\nATOM   1788  OE1 GLN A 218      18.048 -22.655  -8.104  1.00 24.01           O\nATOM   1789  NE2 GLN A 218      18.192 -20.482  -7.755  1.00 24.38           N\nATOM   1790  N   ARG A 219      15.884 -23.563 -13.206  1.00 15.62           N\nATOM   1791  CA  ARG A 219      15.796 -24.776 -14.017  1.00 15.54           C\nATOM   1792  C   ARG A 219      17.225 -25.279 -13.925  1.00 17.82           C\nATOM   1793  O   ARG A 219      18.140 -24.551 -14.333  1.00 19.35           O\nATOM   1794  CB  ARG A 219      15.445 -24.457 -15.462  1.00 13.93           C\nATOM   1795  CG  ARG A 219      15.342 -25.703 -16.345  1.00 11.90           C\nATOM   1796  CD  ARG A 219      15.093 -25.332 -17.817  1.00 10.84           C\nATOM   1797  NE  ARG A 219      16.200 -24.553 -18.410  1.00 13.56           N\nATOM   1798  CZ  ARG A 219      16.120 -24.006 -19.655  1.00 10.89           C\nATOM   1799  NH1 ARG A 219      15.027 -24.133 -20.409  1.00 10.58           N\nATOM   1800  NH2 ARG A 219      17.141 -23.299 -20.127  1.00 12.20           N\nATOM   1801  N   ASP A 220      17.466 -26.449 -13.314  1.00 19.56           N\nATOM   1802  CA  ASP A 220      18.795 -26.992 -12.991  1.00 19.47           C\nATOM   1803  C   ASP A 220      19.737 -26.017 -12.281  1.00 19.94           C\nATOM   1804  O   ASP A 220      20.949 -25.957 -12.499  1.00 19.55           O\nATOM   1805  CB  ASP A 220      19.516 -27.519 -14.248  1.00 19.43           C\nATOM   1806  CG  ASP A 220      18.777 -28.524 -15.119  1.00 18.85           C\nATOM   1807  OD1 ASP A 220      17.720 -29.064 -14.798  1.00 18.35           O\nATOM   1808  OD2 ASP A 220      19.244 -28.743 -16.223  1.00 21.51           O\nATOM   1809  N   GLY A 221      19.152 -25.223 -11.366  1.00 20.46           N\nATOM   1810  CA  GLY A 221      19.908 -24.320 -10.509  1.00 20.95           C\nATOM   1811  C   GLY A 221      20.385 -23.056 -11.179  1.00 22.27           C\nATOM   1812  O   GLY A 221      21.251 -22.360 -10.660  1.00 22.63           O\nATOM   1813  N   GLU A 222      19.831 -22.717 -12.324  1.00 25.15           N\nATOM   1814  CA  GLU A 222      20.218 -21.477 -12.971  1.00 29.51           C\nATOM   1815  C   GLU A 222      19.016 -20.569 -13.169  1.00 30.03           C\nATOM   1816  O   GLU A 222      17.843 -20.978 -13.128  1.00 28.83           O\nATOM   1817  CB  GLU A 222      20.918 -21.745 -14.356  1.00 32.27           C\nATOM   1818  CG  GLU A 222      22.444 -22.066 -14.336  1.00 35.62           C\nATOM   1819  CD  GLU A 222      23.442 -21.000 -13.841  1.00 39.36           C\nATOM   1820  OE1 GLU A 222      23.086 -19.969 -13.238  1.00 43.35           O\nATOM   1821  OE2 GLU A 222      24.648 -21.189 -14.013  1.00 41.54           O\nATOM   1822  N   ASP A 223      19.427 -19.309 -13.336  1.00 32.46           N\nATOM   1823  CA  ASP A 223      18.570 -18.142 -13.525  1.00 33.45           C\nATOM   1824  C   ASP A 223      17.430 -18.360 -14.502  1.00 31.88           C\nATOM   1825  O   ASP A 223      17.611 -18.967 -15.567  1.00 33.81           O\nATOM   1826  CB  ASP A 223      19.422 -16.957 -14.019  1.00 37.34           C\nATOM   1827  CG  ASP A 223      18.619 -15.671 -14.256  1.00 40.80           C\nATOM   1828  OD1 ASP A 223      18.218 -15.045 -13.276  1.00 41.88           O\nATOM   1829  OD2 ASP A 223      18.354 -15.325 -15.414  1.00 43.96           O\nATOM   1830  N   GLN A 224      16.232 -17.957 -14.117  1.00 28.34           N\nATOM   1831  CA  GLN A 224      15.109 -18.057 -15.018  1.00 25.77           C\nATOM   1832  C   GLN A 224      14.361 -16.739 -15.006  1.00 25.37           C\nATOM   1833  O   GLN A 224      13.155 -16.700 -15.260  1.00 24.57           O\nATOM   1834  CB  GLN A 224      14.171 -19.176 -14.589  1.00 23.51           C\nATOM   1835  CG  GLN A 224      14.605 -20.577 -14.971  1.00 23.53           C\nATOM   1836  CD  GLN A 224      14.758 -20.809 -16.467  1.00 21.75           C\nATOM   1837  OE1 GLN A 224      13.837 -21.179 -17.182  1.00 21.74           O\nATOM   1838  NE2 GLN A 224      15.946 -20.645 -16.995  1.00 19.51           N\nATOM   1839  N   THR A 225      15.015 -15.617 -14.728  1.00 25.92           N\nATOM   1840  CA  THR A 225      14.345 -14.330 -14.564  1.00 27.78           C\nATOM   1841  C   THR A 225      13.529 -13.814 -15.744  1.00 27.41           C\nATOM   1842  O   THR A 225      12.387 -13.371 -15.573  1.00 26.12           O\nATOM   1843  CB  THR A 225      15.441 -13.351 -14.134  1.00 29.38           C\nATOM   1844  OG1 THR A 225      15.668 -13.732 -12.777  1.00 32.69           O\nATOM   1845  CG2 THR A 225      15.110 -11.862 -14.245  1.00 31.51           C\nATOM   1846  N   GLN A 226      14.070 -13.953 -16.957  1.00 27.46           N\nATOM   1847  CA  GLN A 226      13.356 -13.521 -18.139  1.00 27.49           C\nATOM   1848  C   GLN A 226      12.192 -14.409 -18.472  1.00 25.62           C\nATOM   1849  O   GLN A 226      11.249 -13.983 -19.121  1.00 26.44           O\nATOM   1850  CB  GLN A 226      14.264 -13.492 -19.334  1.00 29.80           C\nATOM   1851  CG  GLN A 226      15.339 -12.458 -19.140  1.00 33.75           C\nATOM   1852  CD  GLN A 226      16.023 -12.136 -20.451  1.00 37.68           C\nATOM   1853  OE1 GLN A 226      17.142 -12.574 -20.723  1.00 39.54           O\nATOM   1854  NE2 GLN A 226      15.362 -11.372 -21.318  1.00 38.87           N\nATOM   1855  N   ASP A 227      12.243 -15.616 -17.953  1.00 24.95           N\nATOM   1856  CA  ASP A 227      11.283 -16.634 -18.288  1.00 24.90           C\nATOM   1857  C   ASP A 227      10.235 -16.819 -17.186  1.00 23.42           C\nATOM   1858  O   ASP A 227       9.383 -17.710 -17.276  1.00 23.76           O\nATOM   1859  CB  ASP A 227      12.122 -17.909 -18.575  1.00 27.82           C\nATOM   1860  CG  ASP A 227      13.465 -17.726 -19.328  1.00 30.99           C\nATOM   1861  OD1 ASP A 227      14.437 -17.227 -18.720  1.00 32.70           O\nATOM   1862  OD2 ASP A 227      13.575 -18.091 -20.513  1.00 31.84           O\nATOM   1863  N   THR A 228      10.205 -15.986 -16.135  1.00 21.61           N\nATOM   1864  CA  THR A 228       9.233 -16.140 -15.062  1.00 19.39           C\nATOM   1865  C   THR A 228       8.195 -15.034 -15.105  1.00 18.66           C\nATOM   1866  O   THR A 228       8.534 -13.870 -15.322  1.00 19.31           O\nATOM   1867  CB  THR A 228       9.964 -16.128 -13.690  1.00 18.64           C\nATOM   1868  OG1 THR A 228      10.842 -17.242 -13.692  1.00 18.28           O\nATOM   1869  CG2 THR A 228       9.028 -16.234 -12.481  1.00 17.48           C\nATOM   1870  N   GLU A 229       6.917 -15.365 -14.946  1.00 18.64           N\nATOM   1871  CA  GLU A 229       5.878 -14.377 -14.784  1.00 18.99           C\nATOM   1872  C   GLU A 229       5.780 -14.161 -13.263  1.00 19.06           C\nATOM   1873  O   GLU A 229       5.581 -15.101 -12.497  1.00 17.20           O\nATOM   1874  CB  GLU A 229       4.573 -14.898 -15.324  1.00 20.85           C\nATOM   1875  CG  GLU A 229       3.681 -13.686 -15.455  1.00 25.26           C\nATOM   1876  CD  GLU A 229       2.215 -13.888 -15.760  1.00 29.03           C\nATOM   1877  OE1 GLU A 229       1.736 -15.030 -15.900  1.00 31.68           O\nATOM   1878  OE2 GLU A 229       1.547 -12.851 -15.822  1.00 31.20           O\nATOM   1879  N   LEU A 230       5.959 -12.947 -12.747  1.00 20.92           N\nATOM   1880  CA  LEU A 230       5.985 -12.703 -11.310  1.00 20.74           C\nATOM   1881  C   LEU A 230       5.009 -11.591 -11.062  1.00 20.78           C\nATOM   1882  O   LEU A 230       5.121 -10.565 -11.731  1.00 23.47           O\nATOM   1883  CB  LEU A 230       7.387 -12.292 -10.915  1.00 22.78           C\nATOM   1884  CG  LEU A 230       7.743 -12.012  -9.455  1.00 24.66           C\nATOM   1885  CD1 LEU A 230       7.597 -13.230  -8.550  1.00 24.72           C\nATOM   1886  CD2 LEU A 230       9.194 -11.567  -9.457  1.00 27.01           C\nATOM   1887  N   VAL A 231       4.020 -11.732 -10.195  1.00 18.98           N\nATOM   1888  CA  VAL A 231       3.112 -10.624  -9.963  1.00 17.76           C\nATOM   1889  C   VAL A 231       3.589  -9.711  -8.834  1.00 17.44           C\nATOM   1890  O   VAL A 231       4.469 -10.030  -8.018  1.00 16.15           O\nATOM   1891  CB  VAL A 231       1.654 -11.064  -9.608  1.00 17.85           C\nATOM   1892  CG1 VAL A 231       1.052 -11.610 -10.868  1.00 17.42           C\nATOM   1893  CG2 VAL A 231       1.596 -12.039  -8.438  1.00 15.64           C\nATOM   1894  N   GLU A 232       2.982  -8.524  -8.787  1.00 16.48           N\nATOM   1895  CA  GLU A 232       3.309  -7.562  -7.769  1.00 18.76           C\nATOM   1896  C   GLU A 232       2.780  -8.080  -6.436  1.00 16.08           C\nATOM   1897  O   GLU A 232       1.705  -8.677  -6.411  1.00 16.32           O\nATOM   1898  CB  GLU A 232       2.673  -6.269  -8.205  1.00 21.67           C\nATOM   1899  CG  GLU A 232       3.220  -5.040  -7.509  1.00 26.94           C\nATOM   1900  CD  GLU A 232       2.787  -3.776  -8.222  1.00 31.23           C\nATOM   1901  OE1 GLU A 232       1.724  -3.234  -7.923  1.00 30.73           O\nATOM   1902  OE2 GLU A 232       3.518  -3.331  -9.113  1.00 34.45           O\nATOM   1903  N   THR A 233       3.551  -7.934  -5.360  1.00 16.48           N\nATOM   1904  CA  THR A 233       3.108  -8.383  -4.033  1.00 16.20           C\nATOM   1905  C   THR A 233       1.816  -7.608  -3.753  1.00 15.92           C\nATOM   1906  O   THR A 233       1.772  -6.381  -3.947  1.00 15.73           O\nATOM   1907  CB  THR A 233       4.193  -8.053  -2.954  1.00 16.41           C\nATOM   1908  OG1 THR A 233       5.406  -8.744  -3.349  1.00 15.44           O\nATOM   1909  CG2 THR A 233       3.721  -8.408  -1.523  1.00 13.13           C\nATOM   1910  N   ARG A 234       0.768  -8.314  -3.355  1.00 14.74           N\nATOM   1911  CA  ARG A 234      -0.534  -7.724  -3.201  1.00 14.84           C\nATOM   1912  C   ARG A 234      -1.056  -7.958  -1.787  1.00 15.73           C\nATOM   1913  O   ARG A 234      -0.668  -8.944  -1.144  1.00 15.58           O\nATOM   1914  CB  ARG A 234      -1.446  -8.347  -4.243  1.00 14.59           C\nATOM   1915  CG  ARG A 234      -1.730  -9.827  -3.997  1.00 12.76           C\nATOM   1916  CD  ARG A 234      -2.089 -10.534  -5.289  1.00 15.08           C\nATOM   1917  NE  ARG A 234      -2.693 -11.839  -5.053  1.00 13.31           N\nATOM   1918  CZ  ARG A 234      -3.119 -12.648  -6.030  1.00 14.55           C\nATOM   1919  NH1 ARG A 234      -3.012 -12.313  -7.326  1.00 12.83           N\nATOM   1920  NH2 ARG A 234      -3.743 -13.782  -5.681  1.00 13.57           N\nATOM   1921  N   PRO A 235      -1.876  -7.070  -1.210  1.00 15.80           N\nATOM   1922  CA  PRO A 235      -2.486  -7.268   0.097  1.00 14.69           C\nATOM   1923  C   PRO A 235      -3.630  -8.266   0.081  1.00 13.54           C\nATOM   1924  O   PRO A 235      -4.549  -8.200  -0.725  1.00 12.30           O\nATOM   1925  CB  PRO A 235      -2.912  -5.881   0.507  1.00 14.27           C\nATOM   1926  CG  PRO A 235      -3.304  -5.248  -0.817  1.00 14.59           C\nATOM   1927  CD  PRO A 235      -2.199  -5.742  -1.742  1.00 15.13           C\nATOM   1928  N   ALA A 236      -3.653  -9.208   1.005  1.00 13.73           N\nATOM   1929  CA  ALA A 236      -4.790 -10.110   1.085  1.00 13.96           C\nATOM   1930  C   ALA A 236      -6.004  -9.393   1.694  1.00 15.27           C\nATOM   1931  O   ALA A 236      -7.164  -9.803   1.535  1.00 16.49           O\nATOM   1932  CB  ALA A 236      -4.414 -11.297   1.938  1.00 14.56           C\nATOM   1933  N   GLY A 237      -5.796  -8.303   2.440  1.00 14.81           N\nATOM   1934  CA  GLY A 237      -6.880  -7.542   3.036  1.00 14.03           C\nATOM   1935  C   GLY A 237      -6.965  -7.726   4.546  1.00 15.14           C\nATOM   1936  O   GLY A 237      -7.677  -6.998   5.249  1.00 16.45           O\nATOM   1937  N   ASP A 238      -6.253  -8.699   5.088  1.00 15.23           N\nATOM   1938  CA  ASP A 238      -6.252  -9.027   6.507  1.00 15.44           C\nATOM   1939  C   ASP A 238      -4.941  -8.667   7.192  1.00 15.21           C\nATOM   1940  O   ASP A 238      -4.601  -9.139   8.275  1.00 16.57           O\nATOM   1941  CB  ASP A 238      -6.508 -10.508   6.610  1.00 15.49           C\nATOM   1942  CG  ASP A 238      -5.404 -11.361   5.975  1.00 14.85           C\nATOM   1943  OD1 ASP A 238      -4.482 -10.840   5.352  1.00 13.13           O\nATOM   1944  OD2 ASP A 238      -5.470 -12.576   6.076  1.00 15.72           O\nATOM   1945  N   GLY A 239      -4.126  -7.873   6.517  1.00 14.43           N\nATOM   1946  CA  GLY A 239      -2.838  -7.470   7.031  1.00 15.67           C\nATOM   1947  C   GLY A 239      -1.698  -8.357   6.552  1.00 15.79           C\nATOM   1948  O   GLY A 239      -0.560  -8.065   6.935  1.00 16.51           O\nATOM   1949  N   THR A 240      -1.922  -9.457   5.824  1.00 15.72           N\nATOM   1950  CA  THR A 240      -0.828 -10.227   5.242  1.00 13.57           C\nATOM   1951  C   THR A 240      -0.808  -9.964   3.715  1.00 14.40           C\nATOM   1952  O   THR A 240      -1.677  -9.266   3.144  1.00 13.55           O\nATOM   1953  CB  THR A 240      -0.999 -11.769   5.558  1.00 12.59           C\nATOM   1954  OG1 THR A 240      -2.147 -12.308   4.885  1.00 10.98           O\nATOM   1955  CG2 THR A 240      -1.172 -11.992   7.051  1.00 12.41           C\nATOM   1956  N   PHE A 241       0.222 -10.482   3.045  1.00 12.94           N\nATOM   1957  CA  PHE A 241       0.449 -10.276   1.633  1.00 12.57           C\nATOM   1958  C   PHE A 241       0.499 -11.619   0.893  1.00 12.99           C\nATOM   1959  O   PHE A 241       0.517 -12.701   1.512  1.00  9.86           O\nATOM   1960  CB  PHE A 241       1.753  -9.505   1.468  1.00 11.95           C\nATOM   1961  CG  PHE A 241       1.642  -8.089   1.995  1.00 12.92           C\nATOM   1962  CD1 PHE A 241       1.146  -7.097   1.160  1.00 12.27           C\nATOM   1963  CD2 PHE A 241       1.969  -7.806   3.330  1.00 13.51           C\nATOM   1964  CE1 PHE A 241       0.959  -5.810   1.654  1.00 13.04           C\nATOM   1965  CE2 PHE A 241       1.778  -6.507   3.825  1.00 16.36           C\nATOM   1966  CZ  PHE A 241       1.269  -5.506   2.982  1.00 15.31           C\nATOM   1967  N   GLN A 242       0.420 -11.543  -0.454  1.00 12.59           N\nATOM   1968  CA  GLN A 242       0.418 -12.706  -1.330  1.00 12.98           C\nATOM   1969  C   GLN A 242       1.313 -12.385  -2.512  1.00 13.70           C\nATOM   1970  O   GLN A 242       1.513 -11.195  -2.833  1.00 13.62           O\nATOM   1971  CB  GLN A 242      -0.930 -13.006  -1.926  1.00 12.11           C\nATOM   1972  CG  GLN A 242      -2.065 -13.031  -0.938  1.00 13.07           C\nATOM   1973  CD  GLN A 242      -3.412 -13.290  -1.565  1.00 13.65           C\nATOM   1974  OE1 GLN A 242      -3.612 -13.262  -2.785  1.00 14.32           O\nATOM   1975  NE2 GLN A 242      -4.382 -13.566  -0.718  1.00 14.77           N\nATOM   1976  N   LYS A 243       1.872 -13.411  -3.148  1.00 12.98           N\nATOM   1977  CA  LYS A 243       2.659 -13.223  -4.355  1.00 12.50           C\nATOM   1978  C   LYS A 243       2.752 -14.587  -5.057  1.00 14.07           C\nATOM   1979  O   LYS A 243       2.681 -15.640  -4.397  1.00 14.34           O\nATOM   1980  CB  LYS A 243       4.083 -12.735  -4.014  1.00 11.98           C\nATOM   1981  CG  LYS A 243       4.802 -12.009  -5.164  1.00 12.33           C\nATOM   1982  CD  LYS A 243       6.249 -11.738  -4.818  1.00  9.71           C\nATOM   1983  CE  LYS A 243       6.924 -10.845  -5.848  1.00 11.12           C\nATOM   1984  NZ  LYS A 243       6.215  -9.589  -6.002  1.00 11.31           N\nATOM   1985  N   TRP A 244       2.874 -14.625  -6.386  1.00 13.98           N\nATOM   1986  CA  TRP A 244       3.145 -15.865  -7.085  1.00 13.90           C\nATOM   1987  C   TRP A 244       4.125 -15.598  -8.210  1.00 14.48           C\nATOM   1988  O   TRP A 244       4.308 -14.438  -8.620  1.00 13.90           O\nATOM   1989  CB  TRP A 244       1.867 -16.528  -7.662  1.00 13.66           C\nATOM   1990  CG  TRP A 244       0.941 -15.804  -8.630  1.00 14.82           C\nATOM   1991  CD1 TRP A 244      -0.272 -15.318  -8.208  1.00 15.71           C\nATOM   1992  CD2 TRP A 244       1.129 -15.651  -9.985  1.00 16.64           C\nATOM   1993  NE1 TRP A 244      -0.873 -14.886  -9.291  1.00 15.33           N\nATOM   1994  CE2 TRP A 244      -0.084 -15.056 -10.359  1.00 17.28           C\nATOM   1995  CE3 TRP A 244       2.111 -15.923 -10.949  1.00 18.23           C\nATOM   1996  CZ2 TRP A 244      -0.335 -14.724 -11.692  1.00 17.65           C\nATOM   1997  CZ3 TRP A 244       1.863 -15.589 -12.284  1.00 18.42           C\nATOM   1998  CH2 TRP A 244       0.645 -14.997 -12.640  1.00 17.94           C\nATOM   1999  N   ALA A 245       4.777 -16.693  -8.633  1.00 14.03           N\nATOM   2000  CA  ALA A 245       5.755 -16.727  -9.704  1.00 13.32           C\nATOM   2001  C   ALA A 245       5.436 -17.934 -10.575  1.00 13.80           C\nATOM   2002  O   ALA A 245       5.255 -19.021 -10.012  1.00 13.08           O\nATOM   2003  CB  ALA A 245       7.146 -16.909  -9.170  1.00 10.36           C\nATOM   2004  N   ALA A 246       5.356 -17.830 -11.914  1.00 14.18           N\nATOM   2005  CA  ALA A 246       5.001 -18.948 -12.775  1.00 15.16           C\nATOM   2006  C   ALA A 246       5.972 -19.164 -13.922  1.00 15.53           C\nATOM   2007  O   ALA A 246       6.529 -18.197 -14.440  1.00 16.16           O\nATOM   2008  CB  ALA A 246       3.623 -18.740 -13.387  1.00 17.03           C\nATOM   2009  N   VAL A 247       6.249 -20.406 -14.296  1.00 17.59           N\nATOM   2010  CA  VAL A 247       7.084 -20.744 -15.453  1.00 18.35           C\nATOM   2011  C   VAL A 247       6.315 -21.735 -16.334  1.00 19.25           C\nATOM   2012  O   VAL A 247       5.471 -22.498 -15.835  1.00 19.19           O\nATOM   2013  CB  VAL A 247       8.445 -21.431 -15.104  1.00 17.34           C\nATOM   2014  CG1 VAL A 247       9.378 -20.362 -14.610  1.00 19.27           C\nATOM   2015  CG2 VAL A 247       8.298 -22.554 -14.066  1.00 16.78           C\nATOM   2016  N   VAL A 248       6.531 -21.734 -17.653  1.00 21.09           N\nATOM   2017  CA  VAL A 248       5.873 -22.708 -18.512  1.00 22.70           C\nATOM   2018  C   VAL A 248       6.957 -23.744 -18.747  1.00 23.06           C\nATOM   2019  O   VAL A 248       8.095 -23.458 -19.121  1.00 25.13           O\nATOM   2020  CB  VAL A 248       5.406 -22.089 -19.841  1.00 24.08           C\nATOM   2021  CG1 VAL A 248       4.736 -23.151 -20.702  1.00 23.36           C\nATOM   2022  CG2 VAL A 248       4.357 -21.012 -19.564  1.00 24.05           C\nATOM   2023  N   VAL A 249       6.613 -24.945 -18.334  1.00 22.78           N\nATOM   2024  CA  VAL A 249       7.478 -26.104 -18.330  1.00 22.64           C\nATOM   2025  C   VAL A 249       7.140 -26.998 -19.525  1.00 23.37           C\nATOM   2026  O   VAL A 249       5.959 -27.272 -19.779  1.00 23.18           O\nATOM   2027  CB  VAL A 249       7.244 -26.773 -16.947  1.00 22.34           C\nATOM   2028  CG1 VAL A 249       7.909 -28.135 -16.790  1.00 20.16           C\nATOM   2029  CG2 VAL A 249       7.841 -25.810 -15.916  1.00 20.63           C\nATOM   2030  N   PRO A 250       8.149 -27.439 -20.297  1.00 24.67           N\nATOM   2031  CA  PRO A 250       8.006 -28.485 -21.322  1.00 26.17           C\nATOM   2032  C   PRO A 250       7.663 -29.805 -20.652  1.00 27.16           C\nATOM   2033  O   PRO A 250       8.272 -30.165 -19.642  1.00 26.59           O\nATOM   2034  CB  PRO A 250       9.342 -28.509 -22.044  1.00 24.42           C\nATOM   2035  CG  PRO A 250       9.870 -27.111 -21.809  1.00 24.49           C\nATOM   2036  CD  PRO A 250       9.504 -26.883 -20.338  1.00 23.29           C\nATOM   2037  N   SER A 251       6.677 -30.505 -21.207  1.00 30.37           N\nATOM   2038  CA  SER A 251       6.156 -31.759 -20.666  1.00 32.49           C\nATOM   2039  C   SER A 251       7.263 -32.773 -20.366  1.00 32.23           C\nATOM   2040  O   SER A 251       8.160 -33.001 -21.194  1.00 32.31           O\nATOM   2041  CB  SER A 251       5.140 -32.325 -21.677  1.00 34.03           C\nATOM   2042  OG  SER A 251       5.539 -32.116 -23.037  1.00 34.95           O\nATOM   2043  N   GLY A 252       7.232 -33.333 -19.157  1.00 30.76           N\nATOM   2044  CA  GLY A 252       8.285 -34.247 -18.794  1.00 28.01           C\nATOM   2045  C   GLY A 252       9.456 -33.490 -18.185  1.00 27.07           C\nATOM   2046  O   GLY A 252      10.454 -34.135 -17.830  1.00 28.24           O\nATOM   2047  N   GLN A 253       9.417 -32.154 -18.012  1.00 23.39           N\nATOM   2048  CA  GLN A 253      10.536 -31.471 -17.405  1.00 21.07           C\nATOM   2049  C   GLN A 253      10.267 -30.851 -16.040  1.00 19.78           C\nATOM   2050  O   GLN A 253      11.117 -30.097 -15.547  1.00 19.22           O\nATOM   2051  CB  GLN A 253      11.049 -30.383 -18.336  1.00 21.37           C\nATOM   2052  CG  GLN A 253      11.813 -30.904 -19.549  1.00 20.20           C\nATOM   2053  CD  GLN A 253      12.439 -29.800 -20.376  1.00 20.21           C\nATOM   2054  OE1 GLN A 253      12.716 -29.990 -21.562  1.00 22.94           O\nATOM   2055  NE2 GLN A 253      12.777 -28.619 -19.872  1.00 17.51           N\nATOM   2056  N   GLU A 254       9.164 -31.193 -15.369  1.00 20.24           N\nATOM   2057  CA  GLU A 254       8.804 -30.672 -14.038  1.00 20.19           C\nATOM   2058  C   GLU A 254       9.892 -30.862 -13.000  1.00 21.20           C\nATOM   2059  O   GLU A 254      10.186 -29.970 -12.206  1.00 22.18           O\nATOM   2060  CB  GLU A 254       7.566 -31.341 -13.484  1.00 19.92           C\nATOM   2061  CG  GLU A 254       6.239 -31.082 -14.200  1.00 21.41           C\nATOM   2062  CD  GLU A 254       6.021 -31.662 -15.605  1.00 23.03           C\nATOM   2063  OE1 GLU A 254       6.696 -32.604 -16.034  1.00 22.40           O\nATOM   2064  OE2 GLU A 254       5.130 -31.151 -16.282  1.00 22.74           O\nATOM   2065  N   GLN A 255      10.573 -32.008 -13.022  1.00 21.61           N\nATOM   2066  CA  GLN A 255      11.686 -32.283 -12.123  1.00 22.19           C\nATOM   2067  C   GLN A 255      12.899 -31.342 -12.194  1.00 20.56           C\nATOM   2068  O   GLN A 255      13.675 -31.242 -11.234  1.00 20.50           O\nATOM   2069  CB  GLN A 255      12.155 -33.730 -12.356  1.00 26.55           C\nATOM   2070  CG  GLN A 255      12.486 -34.141 -13.792  1.00 32.09           C\nATOM   2071  CD  GLN A 255      13.616 -35.162 -13.809  1.00 36.87           C\nATOM   2072  OE1 GLN A 255      13.626 -36.153 -13.081  1.00 39.33           O\nATOM   2073  NE2 GLN A 255      14.658 -34.992 -14.603  1.00 38.67           N\nATOM   2074  N   ARG A 256      13.120 -30.650 -13.324  1.00 18.07           N\nATOM   2075  CA  ARG A 256      14.238 -29.708 -13.496  1.00 16.13           C\nATOM   2076  C   ARG A 256      14.055 -28.364 -12.746  1.00 15.05           C\nATOM   2077  O   ARG A 256      15.007 -27.623 -12.452  1.00 14.63           O\nATOM   2078  CB  ARG A 256      14.423 -29.359 -14.978  1.00 13.82           C\nATOM   2079  CG  ARG A 256      14.666 -30.549 -15.905  1.00 14.18           C\nATOM   2080  CD  ARG A 256      14.948 -30.070 -17.322  1.00 10.05           C\nATOM   2081  NE  ARG A 256      16.183 -29.323 -17.390  1.00 10.88           N\nATOM   2082  CZ  ARG A 256      16.644 -28.740 -18.493  1.00  9.33           C\nATOM   2083  NH1 ARG A 256      15.970 -28.802 -19.629  1.00 12.98           N\nATOM   2084  NH2 ARG A 256      17.782 -28.100 -18.407  1.00 10.42           N\nATOM   2085  N   TYR A 257      12.802 -28.023 -12.458  1.00 15.04           N\nATOM   2086  CA  TYR A 257      12.486 -26.737 -11.888  1.00 15.67           C\nATOM   2087  C   TYR A 257      12.347 -26.760 -10.371  1.00 16.08           C\nATOM   2088  O   TYR A 257      11.861 -27.733  -9.774  1.00 15.89           O\nATOM   2089  CB  TYR A 257      11.202 -26.226 -12.512  1.00 14.96           C\nATOM   2090  CG  TYR A 257      11.383 -25.871 -13.980  1.00 15.75           C\nATOM   2091  CD1 TYR A 257      11.330 -26.890 -14.933  1.00 16.31           C\nATOM   2092  CD2 TYR A 257      11.561 -24.545 -14.368  1.00 16.22           C\nATOM   2093  CE1 TYR A 257      11.442 -26.598 -16.281  1.00 16.00           C\nATOM   2094  CE2 TYR A 257      11.673 -24.243 -15.729  1.00 18.18           C\nATOM   2095  CZ  TYR A 257      11.605 -25.274 -16.674  1.00 18.09           C\nATOM   2096  OH  TYR A 257      11.657 -25.002 -18.029  1.00 20.23           O\nATOM   2097  N   THR A 258      12.855 -25.690  -9.765  1.00 15.33           N\nATOM   2098  CA  THR A 258      12.701 -25.463  -8.338  1.00 15.04           C\nATOM   2099  C   THR A 258      12.214 -24.050  -8.057  1.00 13.48           C\nATOM   2100  O   THR A 258      12.595 -23.105  -8.748  1.00 13.14           O\nATOM   2101  CB  THR A 258      14.037 -25.683  -7.543  1.00 13.33           C\nATOM   2102  OG1 THR A 258      15.084 -24.940  -8.159  1.00 13.28           O\nATOM   2103  CG2 THR A 258      14.371 -27.151  -7.448  1.00 13.24           C\nATOM   2104  N   CYS A 259      11.351 -23.873  -7.071  1.00 13.99           N\nATOM   2105  CA  CYS A 259      10.874 -22.556  -6.684  1.00 14.15           C\nATOM   2106  C   CYS A 259      11.613 -22.203  -5.406  1.00 15.47           C\nATOM   2107  O   CYS A 259      11.814 -23.083  -4.550  1.00 14.71           O\nATOM   2108  CB  CYS A 259       9.385 -22.576  -6.405  1.00 14.27           C\nATOM   2109  SG  CYS A 259       8.785 -20.945  -5.866  1.00 16.56           S\nATOM   2110  N   HIS A 260      12.069 -20.954  -5.257  1.00 14.63           N\nATOM   2111  CA  HIS A 260      12.832 -20.542  -4.097  1.00 15.13           C\nATOM   2112  C   HIS A 260      12.136 -19.368  -3.433  1.00 14.89           C\nATOM   2113  O   HIS A 260      11.701 -18.422  -4.096  1.00 13.74           O\nATOM   2114  CB  HIS A 260      14.250 -20.155  -4.512  1.00 15.10           C\nATOM   2115  CG  HIS A 260      15.044 -21.343  -5.067  1.00 17.36           C\nATOM   2116  ND1 HIS A 260      15.924 -22.157  -4.469  1.00 18.09           N\nATOM   2117  CD2 HIS A 260      14.905 -21.776  -6.363  1.00 16.48           C\nATOM   2118  CE1 HIS A 260      16.306 -23.044  -5.350  1.00 17.48           C\nATOM   2119  NE2 HIS A 260      15.685 -22.802  -6.472  1.00 17.83           N\nATOM   2120  N   VAL A 261      12.002 -19.455  -2.104  1.00 15.71           N\nATOM   2121  CA  VAL A 261      11.261 -18.479  -1.316  1.00 15.30           C\nATOM   2122  C   VAL A 261      12.162 -17.983  -0.191  1.00 17.22           C\nATOM   2123  O   VAL A 261      12.707 -18.782   0.594  1.00 16.00           O\nATOM   2124  CB  VAL A 261       9.998 -19.125  -0.694  1.00 16.54           C\nATOM   2125  CG1 VAL A 261       9.108 -18.006  -0.133  1.00 13.58           C\nATOM   2126  CG2 VAL A 261       9.266 -20.003  -1.706  1.00 16.25           C\nATOM   2127  N   GLN A 262      12.353 -16.666  -0.121  1.00 16.89           N\nATOM   2128  CA  GLN A 262      13.117 -16.042   0.933  1.00 17.58           C\nATOM   2129  C   GLN A 262      12.195 -15.042   1.611  1.00 16.58           C\nATOM   2130  O   GLN A 262      11.530 -14.225   0.962  1.00 13.91           O\nATOM   2131  CB  GLN A 262      14.315 -15.291   0.388  1.00 20.67           C\nATOM   2132  CG  GLN A 262      15.410 -16.186  -0.115  1.00 27.08           C\nATOM   2133  CD  GLN A 262      16.619 -15.395  -0.581  1.00 31.28           C\nATOM   2134  OE1 GLN A 262      17.604 -15.229   0.139  1.00 34.36           O\nATOM   2135  NE2 GLN A 262      16.610 -14.886  -1.808  1.00 33.28           N\nATOM   2136  N   HIS A 263      12.144 -15.111   2.933  1.00 17.26           N\nATOM   2137  CA  HIS A 263      11.316 -14.234   3.747  1.00 18.67           C\nATOM   2138  C   HIS A 263      11.900 -14.240   5.168  1.00 19.72           C\nATOM   2139  O   HIS A 263      12.232 -15.334   5.627  1.00 18.17           O\nATOM   2140  CB  HIS A 263       9.857 -14.748   3.754  1.00 16.16           C\nATOM   2141  CG  HIS A 263       8.876 -13.741   4.351  1.00 17.24           C\nATOM   2142  ND1 HIS A 263       8.357 -12.634   3.815  1.00 16.40           N\nATOM   2143  CD2 HIS A 263       8.357 -13.861   5.626  1.00 16.55           C\nATOM   2144  CE1 HIS A 263       7.561 -12.102   4.707  1.00 16.22           C\nATOM   2145  NE2 HIS A 263       7.561 -12.845   5.794  1.00 17.69           N\nATOM   2146  N   GLU A 264      11.967 -13.115   5.917  1.00 22.25           N\nATOM   2147  CA  GLU A 264      12.585 -13.141   7.255  1.00 24.03           C\nATOM   2148  C   GLU A 264      11.831 -14.004   8.247  1.00 22.74           C\nATOM   2149  O   GLU A 264      12.380 -14.431   9.248  1.00 23.17           O\nATOM   2150  CB  GLU A 264      12.747 -11.703   7.838  1.00 26.96           C\nATOM   2151  CG  GLU A 264      11.709 -10.960   8.673  1.00 31.15           C\nATOM   2152  CD  GLU A 264      12.266  -9.753   9.449  1.00 33.44           C\nATOM   2153  OE1 GLU A 264      13.255  -9.860  10.176  1.00 35.64           O\nATOM   2154  OE2 GLU A 264      11.703  -8.667   9.352  1.00 36.07           O\nATOM   2155  N   GLY A 265      10.570 -14.312   7.940  1.00 22.02           N\nATOM   2156  CA  GLY A 265       9.791 -15.280   8.710  1.00 22.63           C\nATOM   2157  C   GLY A 265      10.186 -16.742   8.501  1.00 23.33           C\nATOM   2158  O   GLY A 265       9.614 -17.626   9.155  1.00 23.12           O\nATOM   2159  N   LEU A 266      11.115 -17.080   7.595  1.00 23.25           N\nATOM   2160  CA  LEU A 266      11.483 -18.457   7.345  1.00 22.59           C\nATOM   2161  C   LEU A 266      12.796 -18.724   8.065  1.00 22.90           C\nATOM   2162  O   LEU A 266      13.719 -17.901   7.967  1.00 23.93           O\nATOM   2163  CB  LEU A 266      11.641 -18.701   5.829  1.00 21.40           C\nATOM   2164  CG  LEU A 266      10.387 -18.767   4.922  1.00 20.71           C\nATOM   2165  CD1 LEU A 266      10.826 -19.004   3.495  1.00 19.59           C\nATOM   2166  CD2 LEU A 266       9.469 -19.902   5.318  1.00 19.94           C\nATOM   2167  N   PRO A 267      12.895 -19.843   8.848  1.00 21.96           N\nATOM   2168  CA  PRO A 267      14.105 -20.257   9.568  1.00 21.40           C\nATOM   2169  C   PRO A 267      15.232 -20.517   8.594  1.00 19.94           C\nATOM   2170  O   PRO A 267      16.381 -20.320   8.960  1.00 18.64           O\nATOM   2171  CB  PRO A 267      13.704 -21.480  10.380  1.00 19.97           C\nATOM   2172  CG  PRO A 267      12.562 -22.077   9.596  1.00 22.48           C\nATOM   2173  CD  PRO A 267      11.834 -20.847   9.043  1.00 21.99           C\nATOM   2174  N   LYS A 268      14.886 -20.991   7.398  1.00 20.31           N\nATOM   2175  CA  LYS A 268      15.799 -21.034   6.275  1.00 21.38           C\nATOM   2176  C   LYS A 268      14.977 -20.938   4.995  1.00 20.43           C\nATOM   2177  O   LYS A 268      13.780 -21.236   5.022  1.00 19.01           O\nATOM   2178  CB  LYS A 268      16.639 -22.317   6.272  1.00 23.01           C\nATOM   2179  CG  LYS A 268      15.965 -23.627   6.261  1.00 26.05           C\nATOM   2180  CD  LYS A 268      17.000 -24.606   6.776  1.00 28.39           C\nATOM   2181  CE  LYS A 268      16.111 -25.787   7.024  1.00 33.03           C\nATOM   2182  NZ  LYS A 268      16.824 -26.938   7.496  1.00 37.09           N\nATOM   2183  N   PRO A 269      15.550 -20.487   3.879  1.00 21.63           N\nATOM   2184  CA  PRO A 269      14.834 -20.320   2.608  1.00 21.50           C\nATOM   2185  C   PRO A 269      14.332 -21.655   2.077  1.00 21.94           C\nATOM   2186  O   PRO A 269      14.983 -22.699   2.273  1.00 22.71           O\nATOM   2187  CB  PRO A 269      15.835 -19.695   1.686  1.00 22.42           C\nATOM   2188  CG  PRO A 269      16.951 -19.164   2.575  1.00 23.76           C\nATOM   2189  CD  PRO A 269      16.974 -20.174   3.715  1.00 21.40           C\nATOM   2190  N   LEU A 270      13.193 -21.628   1.391  1.00 21.06           N\nATOM   2191  CA  LEU A 270      12.590 -22.833   0.837  1.00 19.94           C\nATOM   2192  C   LEU A 270      13.002 -23.082  -0.603  1.00 19.91           C\nATOM   2193  O   LEU A 270      13.185 -22.124  -1.361  1.00 19.70           O\nATOM   2194  CB  LEU A 270      11.107 -22.727   0.852  1.00 19.91           C\nATOM   2195  CG  LEU A 270      10.402 -22.626   2.177  1.00 22.62           C\nATOM   2196  CD1 LEU A 270       8.972 -22.198   1.936  1.00 21.93           C\nATOM   2197  CD2 LEU A 270      10.441 -23.972   2.893  1.00 22.93           C\nATOM   2198  N   THR A 271      13.157 -24.358  -0.959  1.00 19.79           N\nATOM   2199  CA  THR A 271      13.414 -24.832  -2.318  1.00 20.13           C\nATOM   2200  C   THR A 271      12.333 -25.879  -2.499  1.00 19.38           C\nATOM   2201  O   THR A 271      12.273 -26.856  -1.764  1.00 20.35           O\nATOM   2202  CB  THR A 271      14.794 -25.497  -2.458  1.00 20.54           C\nATOM   2203  OG1 THR A 271      15.773 -24.486  -2.201  1.00 21.65           O\nATOM   2204  CG2 THR A 271      15.022 -26.094  -3.847  1.00 21.53           C\nATOM   2205  N   LEU A 272      11.417 -25.651  -3.424  1.00 19.47           N\nATOM   2206  CA  LEU A 272      10.273 -26.514  -3.654  1.00 18.77           C\nATOM   2207  C   LEU A 272      10.396 -27.138  -5.043  1.00 18.39           C\nATOM   2208  O   LEU A 272      10.991 -26.512  -5.926  1.00 16.64           O\nATOM   2209  CB  LEU A 272       9.008 -25.665  -3.532  1.00 18.19           C\nATOM   2210  CG  LEU A 272       8.790 -24.753  -2.319  1.00 17.95           C\nATOM   2211  CD1 LEU A 272       7.379 -24.249  -2.348  1.00 17.58           C\nATOM   2212  CD2 LEU A 272       9.000 -25.514  -1.016  1.00 19.38           C\nATOM   2213  N   ARG A 273       9.835 -28.324  -5.267  1.00 18.92           N\nATOM   2214  CA  ARG A 273       9.980 -29.073  -6.517  1.00 20.22           C\nATOM   2215  C   ARG A 273       8.668 -29.780  -6.757  1.00 20.29           C\nATOM   2216  O   ARG A 273       7.979 -30.153  -5.811  1.00 21.26           O\nATOM   2217  CB  ARG A 273      11.087 -30.111  -6.407  1.00 20.03           C\nATOM   2218  CG  ARG A 273      11.594 -30.591  -7.766  1.00 22.79           C\nATOM   2219  CD  ARG A 273      12.759 -31.581  -7.639  1.00 22.20           C\nATOM   2220  NE  ARG A 273      13.952 -31.047  -6.980  1.00 21.79           N\nATOM   2221  CZ  ARG A 273      14.987 -30.529  -7.671  1.00 23.14           C\nATOM   2222  NH1 ARG A 273      14.990 -30.457  -9.023  1.00 25.28           N\nATOM   2223  NH2 ARG A 273      16.069 -30.118  -6.997  1.00 23.78           N\nATOM   2224  N   TRP A 274       8.202 -29.872  -7.998  1.00 21.62           N\nATOM   2225  CA  TRP A 274       6.958 -30.578  -8.299  1.00 21.72           C\nATOM   2226  C   TRP A 274       7.400 -32.037  -8.419  1.00 22.50           C\nATOM   2227  O   TRP A 274       8.254 -32.317  -9.266  1.00 22.86           O\nATOM   2228  CB  TRP A 274       6.355 -30.061  -9.635  1.00 19.71           C\nATOM   2229  CG  TRP A 274       5.043 -30.760  -9.998  1.00 18.71           C\nATOM   2230  CD1 TRP A 274       5.041 -31.884 -10.783  1.00 17.30           C\nATOM   2231  CD2 TRP A 274       3.784 -30.413  -9.560  1.00 18.59           C\nATOM   2232  NE1 TRP A 274       3.791 -32.264 -10.838  1.00 19.19           N\nATOM   2233  CE2 TRP A 274       3.004 -31.431 -10.134  1.00 18.98           C\nATOM   2234  CE3 TRP A 274       3.176 -29.419  -8.780  1.00 17.47           C\nATOM   2235  CZ2 TRP A 274       1.623 -31.478  -9.936  1.00 17.42           C\nATOM   2236  CZ3 TRP A 274       1.796 -29.466  -8.584  1.00 17.72           C\nATOM   2237  CH2 TRP A 274       1.025 -30.488  -9.150  1.00 17.89           C\nATOM   2238  N   GLU A 275       6.876 -32.926  -7.567  1.00 23.89           N\nATOM   2239  CA  GLU A 275       7.219 -34.350  -7.608  1.00 26.27           C\nATOM   2240  C   GLU A 275       6.234 -35.157  -6.737  1.00 26.78           C\nATOM   2241  O   GLU A 275       6.362 -36.373  -6.604  1.00 26.48           O\nATOM   2242  CB  GLU A 275       8.671 -34.547  -7.108  1.00 26.27           C\nATOM   2243  CG  GLU A 275       8.880 -34.071  -5.669  1.00 28.30           C\nATOM   2244  CD  GLU A 275      10.307 -33.999  -5.166  1.00 29.65           C\nATOM   2245  OE1 GLU A 275      11.246 -34.412  -5.856  1.00 30.94           O\nATOM   2246  OE2 GLU A 275      10.474 -33.498  -4.051  1.00 31.82           O\nATOM   2247  OXT GLU A 275       5.326 -34.570  -6.137  1.00 27.61           O\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "0.243",
     "unit": ""
    },
    {
     "label": "B",
     "value": "0.500",
     "unit": ""
    },
    {
     "label": "C",
     "value": "0.631",
     "unit": ""
    },
    {
     "label": "D",
     "value": "0.757",
     "unit": ""
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1HHK-DS-5-168",
   "family": "disulfide_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), copied unchanged (angstrom). To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the four candidate pairs meets both windows. Which pair should you mutate?",
   "scope": "ATOM 片段逐行照抄；筛选窗口为题干给出的几何标准；不评估二面角与稳定性。",
   "inputs": [
    {
     "name": "1HHK-168-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM     11  N   HIS A   3      13.160  -0.449  11.106  1.00 17.48           N\nATOM     12  CA  HIS A   3      11.749  -0.075  11.163  1.00 14.93           C\nATOM     13  C   HIS A   3      11.567   1.284  10.532  1.00 14.51           C\nATOM     14  O   HIS A   3      12.557   2.027  10.464  1.00 12.59           O\nATOM     15  CB  HIS A   3      11.255   0.004  12.583  1.00 12.05           C\nATOM     16  CG  HIS A   3      11.079  -1.397  13.094  1.00 11.09           C\nATOM     17  ND1 HIS A   3      10.092  -2.193  12.755  1.00 11.80           N\nATOM     18  CD2 HIS A   3      11.892  -2.086  13.945  1.00 11.96           C\nATOM     19  CE1 HIS A   3      10.227  -3.339  13.346  1.00 11.65           C\nATOM     20  NE2 HIS A   3      11.328  -3.268  14.072  1.00 11.77           N\nATOM     27  N   MET A   5       8.674   4.786   9.888  1.00 14.72           N\nATOM     28  CA  MET A   5       7.407   5.433  10.171  1.00 14.98           C\nATOM     29  C   MET A   5       7.148   6.341   8.974  1.00 14.62           C\nATOM     30  O   MET A   5       8.115   6.993   8.568  1.00 16.09           O\nATOM     31  CB  MET A   5       7.523   6.264  11.410  1.00 15.39           C\nATOM     32  CG  MET A   5       6.184   6.158  12.035  1.00 18.11           C\nATOM     33  SD  MET A   5       5.641   7.523  13.079  1.00 19.96           S\nATOM     34  CE  MET A   5       4.643   7.648  11.632  1.00 19.73           C\nATOM    205  N   TYR A  27       1.824   5.022   8.369  1.00 12.08           N\nATOM    206  CA  TYR A  27       2.258   3.632   8.409  1.00 12.15           C\nATOM    207  C   TYR A  27       3.471   3.447   9.313  1.00 10.89           C\nATOM    208  O   TYR A  27       4.290   4.357   9.469  1.00 10.67           O\nATOM    209  CB  TYR A  27       2.677   3.102   7.022  1.00 12.09           C\nATOM    210  CG  TYR A  27       1.578   2.761   6.023  1.00 13.66           C\nATOM    211  CD1 TYR A  27       0.915   3.790   5.336  1.00 13.38           C\nATOM    212  CD2 TYR A  27       1.271   1.422   5.760  1.00 12.17           C\nATOM    213  CE1 TYR A  27      -0.045   3.487   4.383  1.00 15.05           C\nATOM    214  CE2 TYR A  27       0.303   1.114   4.806  1.00 15.31           C\nATOM    215  CZ  TYR A  27      -0.346   2.151   4.117  1.00 16.68           C\nATOM    216  OH  TYR A  27      -1.255   1.865   3.103  1.00 18.74           O\nATOM    240  N   THR A  31       2.340  -1.648   8.077  1.00 15.31           N\nATOM    241  CA  THR A  31       1.042  -1.589   8.731  1.00 15.03           C\nATOM    242  C   THR A  31       0.538  -0.150   8.809  1.00 13.90           C\nATOM    243  O   THR A  31       1.210   0.722   9.363  1.00 14.62           O\nATOM    244  CB  THR A  31       1.179  -2.224  10.156  1.00 15.36           C\nATOM    245  OG1 THR A  31       1.598  -3.582   9.963  1.00 16.52           O\nATOM    246  CG2 THR A  31      -0.108  -2.168  10.963  1.00 13.39           C\nATOM    853  N   TRP A 107      17.709   0.359  16.553  1.00 20.10           N\nATOM    854  CA  TRP A 107      16.608   1.298  16.700  1.00 18.70           C\nATOM    855  C   TRP A 107      17.083   2.746  16.847  1.00 18.18           C\nATOM    856  O   TRP A 107      16.376   3.622  17.377  1.00 19.44           O\nATOM    857  CB  TRP A 107      15.742   0.919  17.904  1.00 19.96           C\nATOM    858  CG  TRP A 107      14.824  -0.300  17.831  1.00 21.00           C\nATOM    859  CD1 TRP A 107      14.952  -1.301  16.909  1.00 22.16           C\nATOM    860  CD2 TRP A 107      13.727  -0.489  18.647  1.00 22.71           C\nATOM    861  NE1 TRP A 107      13.938  -2.111  17.131  1.00 21.99           N\nATOM    862  CE2 TRP A 107      13.178  -1.674  18.142  1.00 21.50           C\nATOM    863  CE3 TRP A 107      13.143   0.178  19.730  1.00 21.81           C\nATOM    864  CZ2 TRP A 107      12.028  -2.218  18.703  1.00 22.05           C\nATOM    865  CZ3 TRP A 107      11.988  -0.366  20.295  1.00 21.95           C\nATOM    866  CH2 TRP A 107      11.441  -1.549  19.780  1.00 22.63           C\nATOM   1366  N   LEU A 168       8.162   6.428  16.801  1.00 13.70           N\nATOM   1367  CA  LEU A 168       8.274   5.158  16.108  1.00 14.21           C\nATOM   1368  C   LEU A 168       8.543   4.057  17.122  1.00 16.32           C\nATOM   1369  O   LEU A 168       7.771   3.089  17.200  1.00 16.46           O\nATOM   1370  CB  LEU A 168       9.415   5.198  15.090  1.00 12.91           C\nATOM   1371  CG  LEU A 168       9.787   3.949  14.261  1.00 10.27           C\nATOM   1372  CD1 LEU A 168       8.555   3.246  13.714  1.00 11.63           C\nATOM   1373  CD2 LEU A 168      10.725   4.409  13.156  1.00  9.56           C\nATOM   1643  N   ARG A 202       3.008 -22.799 -11.250  1.00 16.77           N\nATOM   1644  CA  ARG A 202       2.914 -21.586 -10.444  1.00 16.43           C\nATOM   1645  C   ARG A 202       3.214 -21.866  -8.962  1.00 15.56           C\nATOM   1646  O   ARG A 202       2.632 -22.775  -8.360  1.00 15.22           O\nATOM   1647  CB  ARG A 202       1.523 -20.992 -10.579  1.00 16.01           C\nATOM   1648  CG  ARG A 202       1.336 -19.656  -9.831  1.00 15.54           C\nATOM   1649  CD  ARG A 202      -0.042 -19.082 -10.168  1.00 15.50           C\nATOM   1650  NE  ARG A 202      -0.008 -18.549 -11.529  1.00 14.93           N\nATOM   1651  CZ  ARG A 202      -0.772 -19.013 -12.518  1.00 13.89           C\nATOM   1652  NH1 ARG A 202      -1.654 -19.997 -12.310  1.00 14.47           N\nATOM   1653  NH2 ARG A 202      -0.568 -18.524 -13.736  1.00 16.85           N\nATOM   2004  N   ALA A 246       5.356 -17.830 -11.914  1.00 14.18           N\nATOM   2005  CA  ALA A 246       5.001 -18.948 -12.775  1.00 15.16           C\nATOM   2006  C   ALA A 246       5.972 -19.164 -13.922  1.00 15.53           C\nATOM   2007  O   ALA A 246       6.529 -18.197 -14.440  1.00 16.16           O\nATOM   2008  CB  ALA A 246       3.623 -18.740 -13.387  1.00 17.03           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Tyr27–Thr31"
    },
    {
     "label": "B",
     "value": "Met5–Leu168"
    },
    {
     "label": "C",
     "value": "His3–Trp107"
    },
    {
     "label": "D",
     "value": "Arg202–Ala246"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "EN-1HHK-FD-25-1-16",
   "family": "fret_design",
   "ability": "design",
   "question": "The excerpt contains the ATOM records of the 8 residues involved, from chain A of PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), copied unchanged (angstrom). You will attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the CA atom of its residue, with Förster radius R0 = 4.0 nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close as possible to 0.25. Which pair should you label?",
   "scope": "ATOM 片段逐行照抄；点偶极、R0 为题设模型参数（取向因子含于 R0）。",
   "inputs": [
    {
     "name": "1HHK-16-design-excerpt.pdb",
     "format": "pdb-excerpt",
     "unit": "angstrom",
     "text": "ATOM      1  N   GLY A   1      14.851  -6.104  13.115  1.00 30.79           N\nATOM      2  CA  GLY A   1      15.736  -5.423  12.197  1.00 28.36           C\nATOM      3  C   GLY A   1      15.249  -3.991  12.170  1.00 26.32           C\nATOM      4  O   GLY A   1      14.679  -3.545  13.170  1.00 26.79           O\nATOM    124  N   GLY A  16     -14.811  23.969  -9.177  1.00 33.34           N\nATOM    125  CA  GLY A  16     -16.254  23.984  -9.262  1.00 36.50           C\nATOM    126  C   GLY A  16     -16.848  22.942  -8.324  1.00 38.30           C\nATOM    127  O   GLY A  16     -17.759  23.291  -7.566  1.00 39.64           O\nATOM   1274  N   ARG A 157      14.783  18.839  10.422  1.00 20.19           N\nATOM   1275  CA  ARG A 157      15.852  17.995  10.914  1.00 20.21           C\nATOM   1276  C   ARG A 157      15.550  17.664  12.374  1.00 19.72           C\nATOM   1277  O   ARG A 157      15.501  16.503  12.774  1.00 19.93           O\nATOM   1278  CB  ARG A 157      17.145  18.760  10.792  1.00 21.51           C\nATOM   1279  CG  ARG A 157      18.316  17.921  11.117  1.00 24.35           C\nATOM   1280  CD  ARG A 157      19.634  18.674  11.338  1.00 27.78           C\nATOM   1281  NE  ARG A 157      20.503  17.564  11.599  1.00 33.67           N\nATOM   1282  CZ  ARG A 157      21.621  17.287  10.935  1.00 38.01           C\nATOM   1283  NH1 ARG A 157      22.064  18.093   9.952  1.00 40.04           N\nATOM   1284  NH2 ARG A 157      22.166  16.077  11.149  1.00 39.65           N\nATOM   1285  N   ALA A 158      15.218  18.706  13.138  1.00 18.67           N\nATOM   1286  CA  ALA A 158      14.881  18.602  14.539  1.00 17.50           C\nATOM   1287  C   ALA A 158      13.775  17.578  14.791  1.00 17.07           C\nATOM   1288  O   ALA A 158      13.943  16.686  15.647  1.00 17.49           O\nATOM   1289  CB  ALA A 158      14.451  19.981  15.025  1.00 17.80           C\nATOM   1517  N   LYS A 186       2.917 -19.352   3.565  1.00 16.27           N\nATOM   1518  CA  LYS A 186       2.369 -20.680   3.384  1.00 17.35           C\nATOM   1519  C   LYS A 186       2.527 -20.876   1.877  1.00 16.85           C\nATOM   1520  O   LYS A 186       1.967 -20.075   1.120  1.00 12.70           O\nATOM   1521  CB  LYS A 186       0.917 -20.668   3.816  1.00 19.95           C\nATOM   1522  CG  LYS A 186       0.723 -20.298   5.295  1.00 24.43           C\nATOM   1523  CD  LYS A 186      -0.772 -20.120   5.498  1.00 29.18           C\nATOM   1524  CE  LYS A 186      -1.141 -19.852   6.956  1.00 32.34           C\nATOM   1525  NZ  LYS A 186      -2.582 -19.969   7.071  1.00 34.21           N\nATOM   1568  N   HIS A 192      -0.948 -26.462 -14.551  1.00 33.26           N\nATOM   1569  CA  HIS A 192      -2.077 -26.405 -15.462  1.00 36.83           C\nATOM   1570  C   HIS A 192      -1.595 -26.655 -16.863  1.00 37.74           C\nATOM   1571  O   HIS A 192      -0.645 -26.055 -17.369  1.00 36.25           O\nATOM   1572  CB  HIS A 192      -2.799 -25.036 -15.466  1.00 39.15           C\nATOM   1573  CG  HIS A 192      -4.017 -24.996 -16.413  1.00 43.55           C\nATOM   1574  ND1 HIS A 192      -4.213 -24.239 -17.504  1.00 44.66           N\nATOM   1575  CD2 HIS A 192      -5.144 -25.791 -16.282  1.00 44.96           C\nATOM   1576  CE1 HIS A 192      -5.384 -24.534 -18.022  1.00 45.04           C\nATOM   1577  NE2 HIS A 192      -5.934 -25.468 -17.282  1.00 45.79           N\nATOM   1628  N   THR A 200       1.865 -24.870 -17.120  1.00 23.69           N\nATOM   1629  CA  THR A 200       2.372 -23.830 -16.250  1.00 23.05           C\nATOM   1630  C   THR A 200       2.541 -24.425 -14.854  1.00 21.21           C\nATOM   1631  O   THR A 200       1.721 -25.237 -14.392  1.00 20.01           O\nATOM   1632  CB  THR A 200       1.394 -22.642 -16.171  1.00 24.12           C\nATOM   1633  OG1 THR A 200       0.874 -22.427 -17.480  1.00 25.71           O\nATOM   1634  CG2 THR A 200       2.076 -21.366 -15.655  1.00 24.10           C\nATOM   1903  N   THR A 233       3.551  -7.934  -5.360  1.00 16.48           N\nATOM   1904  CA  THR A 233       3.108  -8.383  -4.033  1.00 16.20           C\nATOM   1905  C   THR A 233       1.816  -7.608  -3.753  1.00 15.92           C\nATOM   1906  O   THR A 233       1.772  -6.381  -3.947  1.00 15.73           O\nATOM   1907  CB  THR A 233       4.193  -8.053  -2.954  1.00 16.41           C\nATOM   1908  OG1 THR A 233       5.406  -8.744  -3.349  1.00 15.44           O\nATOM   1909  CG2 THR A 233       3.721  -8.408  -1.523  1.00 13.13           C\nEND\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Arg157–His192"
    },
    {
     "label": "B",
     "value": "Lys186–Thr233"
    },
    {
     "label": "C",
     "value": "Ala158–Thr200"
    },
    {
     "label": "D",
     "value": "Gly1–Gly16"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-VIN-WALLS",
   "family": "design_choice",
   "ability": "design",
   "question": "Methylene-bridged glycoluril dimers, called molecular clips, bind a guest inside a cleft between two roughly parallel dialkoxyaromatic side walls. With the planar cationic dyes used here the guest stacks between the walls and its cationic group sits at the ureidyl carbonyl portals. Two clips differing only in their walls were made: H1 with naphthalene walls and H2 with anthracene walls. Apparent 1:1 binding constants Ka were measured by direct or competitive UV/Vis or fluorescence titration in phosphate buffered saline (PBS) at room temperature, every titration in duplicate. You are assembling a clip-dye reporter pair that has to work at low micromolar concentrations, so it needs a tight 1:1 complex. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Vincent et al., Chem. Eur. J. (2025). The candidate must satisfy: (affinity) the measured binding constant in PBS at room temperature is at least 5 × 10^6 M^-1. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate pair should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "H1-NMeAc: H1 + NMeAc — Clip H1: the naphthalene-walled member of the same methylene-bridged glycoluril dimer family and the comparator in this study; two linearly fused rings per wall, long axis about 0.70 nm; MMFF-minimised naphthalene surface area 161.5 A^2 per wall, 46.5 A^2 less than anthracene. Guest NMeAc: an N-methylacridinium cation, three six-membered rings fused in a line and therefore flat, with the methyl group on the central ring nitrogen.\nH1-NMeQ: H1 + NMeQ — Clip H1: the naphthalene-walled member of the same methylene-bridged glycoluril dimer family and the comparator in this study; two linearly fused rings per wall, long axis about 0.70 nm; MMFF-minimised naphthalene surface area 161.5 A^2 per wall, 46.5 A^2 less than anthracene. Guest NMeQ: an N-methylquinolinium cation, two fused six-membered rings, flat, with the methyl group on the ring nitrogen; one fused ring fewer than NMeAc.\nH2-NMeAc: H2 + NMeAc — Clip H2: two anthracene walls, three linearly fused six-membered rings per wall, long axis of the wall about 0.92 nm; MMFF-minimised anthracene surface area 208.0 A^2 per wall. Four OCH2CH2CH2SO3Na arms make it soluble in water to at least 7 mM. Guest NMeAc: an N-methylacridinium cation, three six-membered rings fused in a line and therefore flat, with the methyl group on the central ring nitrogen.\nH2-NMeQ: H2 + NMeQ — Clip H2: two anthracene walls, three linearly fused six-membered rings per wall, long axis of the wall about 0.92 nm; MMFF-minimised anthracene surface area 208.0 A^2 per wall. Four OCH2CH2CH2SO3Na arms make it soluble in water to at least 7 mM. Guest NMeQ: an N-methylquinolinium cation, two fused six-membered rings, flat, with the methyl group on the ring nitrogen; one fused ring fewer than NMeAc.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "H2-NMeAc: H2 + NMeAc"
    },
    {
     "label": "B",
     "value": "H1-NMeAc: H1 + NMeAc"
    },
    {
     "label": "C",
     "value": "H2-NMeQ: H2 + NMeQ"
    },
    {
     "label": "D",
     "value": "H1-NMeQ: H1 + NMeQ"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-VIN-MV",
   "family": "design_choice",
   "ability": "design",
   "question": "Methylene-bridged glycoluril dimers, called molecular clips, bind a guest inside a cleft between two roughly parallel dialkoxyaromatic side walls. With the planar cationic dyes used here the guest stacks between the walls and its cationic group sits at the ureidyl carbonyl portals. Two clips differing only in their walls were made: H1 with naphthalene walls and H2 with anthracene walls. Apparent 1:1 binding constants Ka were measured by direct or competitive UV/Vis or fluorescence titration in phosphate buffered saline (PBS) at room temperature, every titration in duplicate. You are choosing a clip-dye pair for a titration that runs at tens of micromolar, so a moderate but reliable affinity is enough. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Vincent et al., Chem. Eur. J. (2025). The candidate must satisfy: (affinity) the measured binding constant in PBS at room temperature is at least 5 × 10^4 M^-1. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate pair should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "H1-MV: H1 + MV — Clip H1: the naphthalene-walled member of the same methylene-bridged glycoluril dimer family and the comparator in this study; two linearly fused rings per wall, long axis about 0.70 nm; MMFF-minimised naphthalene surface area 161.5 A^2 per wall, 46.5 A^2 less than anthracene. Guest MV: methyl viologen, 1,1'-dimethyl-4,4'-bipyridinium. Its two six-membered rings are joined by a single bond instead of being fused, so they are not held coplanar and twist relative to each other; each ring nitrogen carries a methyl group, giving a dication.\nH1-NMeQ: H1 + NMeQ — Clip H1: the naphthalene-walled member of the same methylene-bridged glycoluril dimer family and the comparator in this study; two linearly fused rings per wall, long axis about 0.70 nm; MMFF-minimised naphthalene surface area 161.5 A^2 per wall, 46.5 A^2 less than anthracene. Guest NMeQ: an N-methylquinolinium cation, two fused six-membered rings, flat, with the methyl group on the ring nitrogen; one fused ring fewer than NMeAc.\nH2-MV: H2 + MV — Clip H2: two anthracene walls, three linearly fused six-membered rings per wall, long axis of the wall about 0.92 nm; MMFF-minimised anthracene surface area 208.0 A^2 per wall. Four OCH2CH2CH2SO3Na arms make it soluble in water to at least 7 mM. Guest MV: methyl viologen, 1,1'-dimethyl-4,4'-bipyridinium. Its two six-membered rings are joined by a single bond instead of being fused, so they are not held coplanar and twist relative to each other; each ring nitrogen carries a methyl group, giving a dication.\nH2-NMeQ: H2 + NMeQ — Clip H2: two anthracene walls, three linearly fused six-membered rings per wall, long axis of the wall about 0.92 nm; MMFF-minimised anthracene surface area 208.0 A^2 per wall. Four OCH2CH2CH2SO3Na arms make it soluble in water to at least 7 mM. Guest NMeQ: an N-methylquinolinium cation, two fused six-membered rings, flat, with the methyl group on the ring nitrogen; one fused ring fewer than NMeAc.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "H2-MV: H2 + MV"
    },
    {
     "label": "B",
     "value": "H1-MV: H1 + MV"
    },
    {
     "label": "C",
     "value": "H2-NMeQ: H2 + NMeQ"
    },
    {
     "label": "D",
     "value": "H1-NMeQ: H1 + NMeQ"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-RAN-NITRATE",
   "family": "design_choice",
   "ability": "design",
   "question": "A bambus[6]uril is a macrocycle of six glycoluril units joined by six methylene bridges. One inorganic anion binds in the centre of the cavity, held by the twelve C-H...X- contacts of the glycoluril methine protons, and the substituents on the nitrogen atoms sit on the two portals. Bromide is a small spherical anion; nitrate is larger and trigonal planar. Apparent 1:1 association constants Ka were measured by isothermal titration calorimetry on tetrabutylammonium salts at 298.15 K, with standard deviations below 17 %. You need a receptor that picks nitrate out of a solution in which bromide is present at a similar concentration, so absolute affinity is not enough: the receptor has to prefer nitrate. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Rando et al., Chem. Sci. (2025). The candidate must satisfy: (selectivity) the measured apparent association constant for nitrate is at least 1.5 times the one for bromide under the same conditions. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate receptor system should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "BU1-CHCl3: BU1 in chloroform — Six (S)-1-phenylethyl groups and six methyl groups on the portals, the phenylethyl groups at the R1 positions. These bulkier substituents (no CH2 spacer; the phenyl sits on a stereocentre carrying a methyl group) take up the closed arrangement over the cavity axis and twist the cavity into a screw: the two methine C-H...X- contacts of each glycoluril unit differ in length by about 0.3 A. Titrated in chloroform.\nBU1-MeCN: BU1 in acetonitrile — BU1 as described for the chloroform candidate, with the same portal substituents and the same screw-distorted cavity, but titrated in acetonitrile instead of chloroform; the macrocycle is unchanged.\nBU2-CHCl3: BU2 in chloroform — The diastereomer of BU1, the same six (S)-1-phenylethyl and six methyl groups but exchanged between the R1 and R2 positions of each glycoluril. The phenylethyl groups point away from the cavity (the open arrangement) and all twelve C-H...X- contacts come out equal in length, so the rigidified cavity is undistorted. Titrated in chloroform.\nBnBU-CHCl3: BnBU in chloroform — Twelve benzyl groups on the portals. A CH2 spacer separates each portal nitrogen from its phenyl ring, so the rings can swing clear of the cavity axis and the macrocycle stays flexible and adapts to the anion; in its chloride complex all twelve C-H...Cl- contacts are equal at 3.13 A. Titrated in chloroform.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "BU2-CHCl3: BU2 in chloroform"
    },
    {
     "label": "B",
     "value": "BU1-MeCN: BU1 in acetonitrile"
    },
    {
     "label": "C",
     "value": "BnBU-CHCl3: BnBU in chloroform"
    },
    {
     "label": "D",
     "value": "BU1-CHCl3: BU1 in chloroform"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-RAN-BROMIDE",
   "family": "design_choice",
   "ability": "design",
   "question": "A bambus[6]uril is a macrocycle of six glycoluril units joined by six methylene bridges. One inorganic anion binds in the centre of the cavity, held by the twelve C-H...X- contacts of the glycoluril methine protons, and the substituents on the nitrogen atoms sit on the two portals. Bromide is a small spherical anion; nitrate is larger and trigonal planar. Apparent 1:1 association constants Ka were measured by isothermal titration calorimetry on tetrabutylammonium salts at 298.15 K, with standard deviations below 17 %. You need a receptor system that binds bromide as tightly as possible. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Rando et al., Chem. Sci. (2025). The candidate must satisfy: (affinity) the measured apparent association constant for bromide is at least 1 × 10^9 M^-1. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate receptor system should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "BU1-CHCl3: BU1 in chloroform — Six (S)-1-phenylethyl groups and six methyl groups on the portals, the phenylethyl groups at the R1 positions. These bulkier substituents (no CH2 spacer; the phenyl sits on a stereocentre carrying a methyl group) take up the closed arrangement over the cavity axis and twist the cavity into a screw: the two methine C-H...X- contacts of each glycoluril unit differ in length by about 0.3 A. Titrated in chloroform.\nBU1-MeCN: BU1 in acetonitrile — BU1 as described for the chloroform candidate, with the same portal substituents and the same screw-distorted cavity, but titrated in acetonitrile instead of chloroform; the macrocycle is unchanged.\nBU2-CHCl3: BU2 in chloroform — The diastereomer of BU1, the same six (S)-1-phenylethyl and six methyl groups but exchanged between the R1 and R2 positions of each glycoluril. The phenylethyl groups point away from the cavity (the open arrangement) and all twelve C-H...X- contacts come out equal in length, so the rigidified cavity is undistorted. Titrated in chloroform.\nBnBU-CHCl3: BnBU in chloroform — Twelve benzyl groups on the portals. A CH2 spacer separates each portal nitrogen from its phenyl ring, so the rings can swing clear of the cavity axis and the macrocycle stays flexible and adapts to the anion; in its chloride complex all twelve C-H...Cl- contacts are equal at 3.13 A. Titrated in chloroform.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "BnBU-CHCl3: BnBU in chloroform"
    },
    {
     "label": "B",
     "value": "BU1-MeCN: BU1 in acetonitrile"
    },
    {
     "label": "C",
     "value": "BU1-CHCl3: BU1 in chloroform"
    },
    {
     "label": "D",
     "value": "BU2-CHCl3: BU2 in chloroform"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-CHE-SIEVE",
   "family": "design_choice",
   "ability": "design",
   "question": "Dihydrogen isotopologues can be separated in a nanoporous framework by kinetic quantum sieving: the thermal de Broglie wavelength of H2 is longer than that of D2, so in a pore whose aperture is comparable to that wavelength H2 meets the higher diffusion barrier and the heavier D2 diffuses faster; the effect grows as the temperature falls. All four candidates below are rigid frameworks, so framework flexibility plays no part, and the paper treats them as lacking accessible open metal sites, although its Zeo++ analysis does report an open metal site density for one of them (noted in candidates.txt). Each framework was exposed to a 1:1 D2:H2 mixture at 100 mbar and 30 K for 10 min, and the selectivity S(D2/H2) and the D2 uptake were then read off the thermal desorption spectrum. You need the sorbent for an enrichment stage: it has to reach a useful separation factor and still take up enough D2 per gram for a cycle to be worth running. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Chetry et al., ACS Appl. Mater. Interfaces (2026). The candidate must satisfy: (selectivity) the measured D2/H2 selectivity at an exposure temperature of 30 K is at least 12; (capacity) the measured D2 uptake under the same conditions is at least 2 mmol g^-1. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate framework should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework — Table 1 gives a pore size of 3.5-8 A: Zeo++ puts the aperture at 3.5 A but finds the pore volume dominated by supermicropores at 3.5 and 8 A, and the framework is highly interpenetrated. Zeo++ also finds open metal sites here, at a density of 7.9 mmol cm^-3.\nCu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)] — Table 1 gives a single pore size of 5.5 A, the widest aperture of the four. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\nCu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework — Table 1 gives a pore size of 3.2-3.6 A, the tightest of the four; the short rigid tetrazolate linker is what generates so narrow an aperture. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\nUTSA-16(Co): UTSA-16(Co), a cobalt citrate framework — Table 1 gives a pore size of 3.4-4.4 A, one step wider than the tightest; the rigid citrate linker also generates tight pores. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "UTSA-16(Co): UTSA-16(Co), a cobalt citrate framework"
    },
    {
     "label": "B",
     "value": "Cu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework"
    },
    {
     "label": "C",
     "value": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework"
    },
    {
     "label": "D",
     "value": "Cu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)]"
    }
   ],
   "response_format": "one label: A/B/C/D"
  },
  {
   "id": "FA-DES-CHE-FLOW",
   "family": "design_choice",
   "ability": "design",
   "question": "Dihydrogen isotopologues can be separated in a nanoporous framework by kinetic quantum sieving: the thermal de Broglie wavelength of H2 is longer than that of D2, so in a pore whose aperture is comparable to that wavelength H2 meets the higher diffusion barrier and the heavier D2 diffuses faster; the effect grows as the temperature falls. All four candidates below are rigid frameworks, so framework flexibility plays no part, and the paper treats them as lacking accessible open metal sites, although its Zeo++ analysis does report an open metal site density for one of them (noted in candidates.txt). Each framework was exposed to a 1:1 D2:H2 mixture at 100 mbar and 30 K for 10 min, and the selectivity S(D2/H2) and the D2 uptake were then read off the thermal desorption spectrum. You need the sorbent for a throughput stage instead: it has to move as much D2 per gram per cycle as possible, and only needs to beat cryogenic distillation, whose selectivity is 1.4, with some room to spare. The attached candidates.txt describes four candidate structures, all of them prepared and measured in Chetry et al., ACS Appl. Mater. Interfaces (2026). The candidate must satisfy: (capacity) the measured D2 uptake at an exposure temperature of 30 K is at least 5 mmol g^-1; (selectivity) the measured D2/H2 selectivity under the same conditions is at least 2. Exactly one of the four does so in the measured data, which is not shown to you. Which candidate framework should you choose?",
   "scope": "候选的结构描述取自论文（转述，不转载原文段落或图）；实测性质表只在审核侧，考生看不到。只依据题干给出的目标与候选结构描述，加通用科学知识作答；不需要也不允许查阅论文。",
   "inputs": [
    {
     "name": "candidates.txt",
     "format": "text",
     "unit": "结构描述，无单位",
     "text": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework — Table 1 gives a pore size of 3.5-8 A: Zeo++ puts the aperture at 3.5 A but finds the pore volume dominated by supermicropores at 3.5 and 8 A, and the framework is highly interpenetrated. Zeo++ also finds open metal sites here, at a density of 7.9 mmol cm^-3.\nCu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)] — Table 1 gives a single pore size of 5.5 A, the widest aperture of the four. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\nCu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework — Table 1 gives a pore size of 3.2-3.6 A, the tightest of the four; the short rigid tetrazolate linker is what generates so narrow an aperture. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\nUTSA-16(Co): UTSA-16(Co), a cobalt citrate framework — Table 1 gives a pore size of 3.4-4.4 A, one step wider than the tightest; the rigid citrate linker also generates tight pores. Zeo++ classes it as ultramicroporous only, and finds no open metal sites.\n"
    }
   ],
   "options": [
    {
     "label": "A",
     "value": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework"
    },
    {
     "label": "B",
     "value": "Cu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)]"
    },
    {
     "label": "C",
     "value": "Cu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework"
    },
    {
     "label": "D",
     "value": "UTSA-16(Co): UTSA-16(Co), a cobalt citrate framework"
    }
   ],
   "response_format": "one label: A/B/C/D"
  }
 ],
 "numeric_student_packets": [
  {
   "id": "N-FA-ANG-BCD",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one beta-cyclodextrin host conformer (147 atoms, angstrom). Atoms C4–O3–C37 form the bridging ether linkage between two glucose units, O3 bonded to C4 and C37 as in the source PDB CONECT record (C4 = row 4, O3 = row 45, C37 = row 37; rows counted from 1 after the two XYZ header lines). What is the C4–O3–C37 bond angle at O3 in this supplied conformer?",
   "scope": "SAMPL9 提供的单一 β-CD 构象；按行号指定 PDB 原子名；只测该构象，不优化、不推断结合。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-ANG-BCD"
  },
  {
   "id": "N-FA-ANG-WP6",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one WP6 (carboxylated pillar[6]arene) host conformer (150 atoms, angstrom); labels are element plus XYZ row. Atoms C3–C1–C4 form an internal angle of the phenylene ring C1-C4-C5-C2-C6-C3 (C3 = row 3, C1 = row 1, C4 = row 4; rows counted from 1 after the two XYZ header lines). What is the C3–C1–C4 bond angle at C1 in this supplied conformer?",
   "scope": "SAMPL9 单一 WP6 构象；只问该环内角，不证明整环平面性。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-ANG-WP6"
  },
  {
   "id": "N-FA-ANG-DMBCD",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is one heptakis(2,6-di-O-methyl)-beta-cyclodextrin host conformer (189 atoms, angstrom). Atoms C3–O2–CH3-C45 form an exocyclic methyl-ether linkage: ring carbon C3, ether oxygen O2 and its methyl carbon (row 45) (C3 = row 3, O2 = row 44, CH3-C45 = row 45; rows counted from 1 after the two XYZ header lines). What is the C3–O2–CH3-C45 bond angle at O2 in this supplied conformer?",
   "scope": "SAMPL9 单一 DM-β-CD 构象；只测该醚键角；典型值只作干扰机制，不评分。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-ANG-DMBCD"
  },
  {
   "id": "N-FA-TOR-1CRN-G20",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 19–21 of chain A from PDB entry 1CRN (crambin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Gly20, defined by atoms C(19)–N(20)–CA(20)–C(20), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 19–21 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-TOR-1CRN-G20"
  },
  {
   "id": "N-FA-TOR-1UBQ-V26",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 25–27 of chain A from PDB entry 1UBQ (ubiquitin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion ψ of Val26, defined by atoms N(26)–CA(26)–C(26)–N(27), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 25–27 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-TOR-1UBQ-V26"
  },
  {
   "id": "N-FA-TOR-6LYZ-T43",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 42–44 of chain A from PDB entry 6LYZ (hen egg-white lysozyme, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Thr43, defined by atoms C(42)–N(43)–CA(43)–C(43), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 42–44 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-TOR-6LYZ-T43"
  },
  {
   "id": "N-FA-FP-QM7X-7001",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7001：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "eV"
   },
   "inputs_same_as": "FA-FP-QM7X-7001"
  },
  {
   "id": "N-FA-FP-QM7X-7002",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(B) + λ[r_i(A) − r_i(B)], which starts at B and moves toward A, what is dE/dλ at λ = 0 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7002：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；路径从 B 指向 A，只问 λ=0（即 B 处）方向导数。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "eV"
   },
   "inputs_same_as": "FA-FP-QM7X-7002"
  },
  {
   "id": "N-FA-FP-QM7X-7035",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7035：A 为 DFTB3+MBD 优化结构，B 为配对位移结构；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "eV"
   },
   "inputs_same_as": "FA-FP-QM7X-7035"
  },
  {
   "id": "N-FC-QNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule MAJHUB (41 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MAJHUB PBE+vdW-relaxed几何；41 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-QNP007"
  },
  {
   "id": "N-FC-QNP008",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule JIMHOC (57 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "JIMHOC PBE+vdW-relaxed几何；57 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-QNP008"
  },
  {
   "id": "N-FC-QNP009",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule KEGPOC (64 atoms, angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "KEGPOC PBE+vdW-relaxed几何；64 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-QNP009"
  },
  {
   "id": "N-FC-QNP010",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule KEWGID (48 atoms, angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "KEWGID PBE+vdW-relaxed几何；48 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-QNP010"
  },
  {
   "id": "N-FC-QNP011",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the PBE+vdW-relaxed geometry of OE62 molecule PEKZAG (70 atoms, angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PEKZAG PBE+vdW-relaxed几何；70 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-QNP011"
  },
  {
   "id": "N-FC-MNP006",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the Zn sublattice of ZIF-8 (COD 4118891): the 12 zinc atoms of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "ZIF-8 Zn 亚晶格；12 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-MNP006"
  },
  {
   "id": "N-FC-MNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the Zn sublattice of MOF-5 (COD 1516287): the 32 zinc atoms of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MOF-5 Zn 亚晶格；32 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-MNP007"
  },
  {
   "id": "N-FC-MNP010",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full ordered framework of MOF-5 (COD 1516287): all 424 atoms (Zn, O, C, H) of one symmetry-expanded conventional cubic cell (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "MOF-5 完整框架；424 个原子，一个常规立方晶胞，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-MNP010"
  },
  {
   "id": "N-FC-CNP007",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is one vancomycin monomer, PDB 1AA5 chain A (132 atoms, major altLoc/occupancy only; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 vancomycin单体（chain A）；132 个原子，坐标单位 Å，仅主占位/主构象；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-CNP007"
  },
  {
   "id": "N-FC-CNP008",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the second vancomycin monomer of the same asymmetric dimer, PDB 1AA5 chain B (132 atoms, major altLoc/occupancy only; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 vancomycin单体（chain B）；132 个原子，坐标单位 Å，仅主占位/主构象；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-CNP008"
  },
  {
   "id": "N-FC-CNP009",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full vancomycin asymmetric dimer, PDB 1AA5 chains A+B (264 atoms: chain A as rows 1–132, chain B as rows 133–264; angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 完整不对称二聚体（chain A+B）；264 个原子，坐标单位 Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-CNP009"
  },
  {
   "id": "N-FC-CNP011",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ is the full vancomycin asymmetric dimer, PDB 1AA5 chains A+B (264 atoms: chain A as rows 1–132, chain B as rows 133–264; angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "1AA5 完整二聚体；264 个原子，Å；仅计算该文件实际点集，不做周期扩展，不优化、不添加或删除原子。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-CNP011"
  },
  {
   "id": "N-FA-DIST-7035-SO",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7035, an alkyl methyl sulfone (17 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms S3 (row 3) and O4 (row 4) form one of the two S=O bonds of the sulfonyl group (S3 carries two O atoms and two C atoms). What is this bond length?",
   "scope": "QM7-X 分子 7035 优化几何；只测该结构中的键长，不据此判断键级。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-7035-SO"
  },
  {
   "id": "N-FA-DIST-7070-CCl",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7070, a dichloro-1H-pyrrole (10 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms Cl1 (row 1) and C2 (row 2) form the bond between a chlorine substituent and its ring carbon. What is this bond length?",
   "scope": "QM7-X 分子 7070 优化几何；只测该结构中的键长。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-7070-CCl"
  },
  {
   "id": "N-FA-DIST-7002-NN",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7002 (11 atoms, angstrom); rows are counted from 1 after the two header lines. N6 is terminal and bonded only to N5. In this supplied structure, atoms N5 (row 5) and N6 (row 6) form the nitrogen–nitrogen bond at the end of the N–N=N-type chain (N5 bonded to C4 and N6). What is this bond length?",
   "scope": "QM7-X 分子 7002 优化几何；只测该结构中的键长，不据此判断键级。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-7002-NN"
  },
  {
   "id": "N-FA-DIST-7122-CN",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7122, an amino-substituted chlorofuran (11 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms C5 (row 5) and N7 (row 7) form the bond joining the NH2 group (N7 with two H) to the furan ring carbon C5. What is this bond length?",
   "scope": "QM7-X 分子 7122 优化几何；只测该结构中的键长。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-7122-CN"
  },
  {
   "id": "N-FA-DIST-6LYZ-SS",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys6 and Cys127 of hen egg-white lysozyme (PDB 6LYZ, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys6) and SG(Cys127) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "6LYZ 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-6LYZ-SS"
  },
  {
   "id": "N-FA-ANG-7040-OSO",
   "family": "named_bond_angle",
   "ability": "perception",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7040 (16 atoms, angstrom). Atoms O4–S3–O5 form the O=S=O unit of the sulfonyl group on S3 (O4 = row 4, S3 = row 3, O5 = row 5; rows counted from 1 after the two XYZ header lines). What is the O4–S3–O5 bond angle at S3 in this supplied conformer?",
   "scope": "QM7-X 分子 7040 优化几何；只测该结构中的键角。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-ANG-7040-OSO"
  },
  {
   "id": "N-FA-PEAK-NACL",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of halite (NaCl, COD 9008678). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cl = 17, Na = 11). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-NACL"
  },
  {
   "id": "N-FA-PEAK-CSCL",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of caesium chloride (CsCl, COD 9008789). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cl = 17, Cs = 55). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-CSCL"
  },
  {
   "id": "N-FA-PEAK-MGO",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of periclase (MgO, COD 1000053). Use the kinematic structure factor with atomic numbers as angle-independent weights (Mg = 12, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-MGO"
  },
  {
   "id": "N-FA-PEAK-SALEM2",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of Zn(imidazolate)2 with ZIF-8 sodalite topology (SALEM-2, COD 4118891; major-occupancy linker sites). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "204 原子整胞；运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-SALEM2"
  },
  {
   "id": "N-FA-PEAK-MOF5",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, O = 8, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "424 原子整胞；运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-MOF5"
  },
  {
   "id": "N-FA-FRET-1EHZ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1EHZ (yeast tRNA-Phe), copied unchanged. Model a FRET donor as a point at atom C1' of nucleotide A76 and an acceptor as a point at atom C1' of nucleotide A35. Assume a Förster radius R0 = 6.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针；R0 为题设值；不代表真实染料位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-FRET-1EHZ"
  },
  {
   "id": "N-FA-FRET-1UBQ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1UBQ (ubiquitin; Lys48 and Lys63 are the two most studied chain-linkage sites), copied unchanged. Model a FRET donor as a point at atom NZ of Lys48 and an acceptor as a point at atom NZ of Lys63. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟短程探针对（R0=2.5 nm）标记在两个赖氨酸 NZ；不代表真实染料。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-FRET-1UBQ"
  },
  {
   "id": "N-FA-FRET-6LYZ",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 6LYZ (hen egg-white lysozyme; probes at the two chain termini), copied unchanged. Model a FRET donor as a point at atom CA of Lys1 and an acceptor as a point at atom CA of Leu129. Assume a Förster radius R0 = 2.20 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟短程探针对（R0=2.2 nm）标记在 N、C 端残基 CA；不代表真实染料。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-FRET-6LYZ"
  },
  {
   "id": "N-FA-GUIN-6LYZ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of hen egg-white lysozyme (PDB 6LYZ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.60 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-GUIN-6LYZ"
  },
  {
   "id": "N-FA-GUIN-1EHZ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of yeast tRNA-Phe (PDB 1EHZ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.40 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-GUIN-1EHZ"
  },
  {
   "id": "N-FA-GUIN-1BNA",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of the B-DNA dodecamer duplex (PDB 1BNA, chains AB). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.70 nm⁻¹?",
   "scope": "等权点散射体（两条链）；非实测 SAXS。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-GUIN-1BNA"
  },
  {
   "id": "N-FA-ASM-EXT-1AON",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1AON"
  },
  {
   "id": "N-FA-ASM-RG-1AON",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1AON"
  },
  {
   "id": "N-FA-ASM-GUIN-1AON",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the GroEL–GroES chaperonin complex (PDB 1AON). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.15 nm⁻¹?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-1AON"
  },
  {
   "id": "N-FA-ASM-EXT-1KX5",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1KX5"
  },
  {
   "id": "N-FA-ASM-RG-1KX5",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1KX5"
  },
  {
   "id": "N-FA-ASM-GUIN-1KX5",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the nucleosome core particle (PDB 1KX5). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.25 nm⁻¹?",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-1KX5"
  },
  {
   "id": "N-FA-ASM-EXT-1A34",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1A34"
  },
  {
   "id": "N-FA-ASM-RG-1A34",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1A34"
  },
  {
   "id": "N-FA-ASM-GUIN-1A34",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms (60 copies) of the satellite tobacco mosaic virus capsid (PDB 1A34). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.14 nm⁻¹?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-1A34"
  },
  {
   "id": "N-FA-ASM-CAPS-1A34",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite tobacco mosaic virus capsid (PDB 1A34), generated with the 60 deposited icosahedral operators; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-CAPS-1A34"
  },
  {
   "id": "N-FA-ASM-EXT-6CGR",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-6CGR"
  },
  {
   "id": "N-FA-ASM-RG-6CGR",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-6CGR"
  },
  {
   "id": "N-FA-ASM-T-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-T-6CGR"
  },
  {
   "id": "N-FA-ASM-CAPS-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-CAPS-6CGR"
  },
  {
   "id": "N-FA-ASM-HEX-6CGR",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by VP5?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-HEX-6CGR"
  },
  {
   "id": "N-FA-ASM-EXT-7ARQ",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-7ARQ"
  },
  {
   "id": "N-FA-ASM-RG-7ARQ",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-7ARQ"
  },
  {
   "id": "N-FA-ASM-EXT-7ARQ-SCAF",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-7ARQ-SCAF"
  },
  {
   "id": "N-FA-ASM-RG-7ARQ-SCAF",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-7ARQ-SCAF"
  },
  {
   "id": "N-FA-ASM-GUIN-7ARQ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.12 nm⁻¹?",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-7ARQ"
  },
  {
   "id": "N-FA-DEB-7ARQ-018",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.180 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-7ARQ-018"
  },
  {
   "id": "N-FA-DEB-7ARQ-030",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.300 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-7ARQ-030"
  },
  {
   "id": "N-FA-QDES-7ARQ-050",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-7ARQ-050"
  },
  {
   "id": "N-FA-QDES-7ARQ-030",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.30. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.30? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-7ARQ-030"
  },
  {
   "id": "N-FA-QDES-7ARQ-SCAF-020",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the C1' atom of every nucleotide of a DNA-origami 16-helix bundle (PDB 7ARQ, cryo-EM pseudo-atomic model), labelled by strand type (scaffold or staple); columns are component, chain.residue, x, y, z (angstrom). Select all points labelled scaffold. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.20. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.20? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每个核苷酸一个点（C1′）；冷冻电镜 10 Å 赝原子模型，只在螺旋束整体尺度上可靠，不用于碱基对细节。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-7ARQ-SCAF-020"
  },
  {
   "id": "N-FA-DEB-6CGR",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.035 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-6CGR"
  },
  {
   "id": "N-FA-QDES-6CGR",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every protein chain of the herpes simplex virus 1 capsid with tegument complexes (PDB 6CGR), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (VP5, VP26, VP19C, VP23, pUL17, pUL25, pUL36), copy, x, y, z (angstrom). Select all points labelled VP5. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 4.2 Å。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-6CGR"
  },
  {
   "id": "N-FA-SL-EDGE-26",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of this particle lattice, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-SL-EDGE-26"
  },
  {
   "id": "N-FA-SL-EDGE-52",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of this particle lattice, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-SL-EDGE-52"
  },
  {
   "id": "N-FA-SL-D111-39",
   "family": "superlattice_metric",
   "ability": "perception",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. What is the spacing between adjacent close-packed (most densely populated) lattice planes of the particles, in nm?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-SL-D111-39"
  },
  {
   "id": "N-FA-SL-QSTAR-X",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what q (in nm⁻¹, q = 4π sinθ/λ) does the first (lowest-q) Bragg reflection with nonzero intensity appear?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-SL-QSTAR-X"
  },
  {
   "id": "N-FA-SL-Q200-13",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what q (in nm⁻¹, q = 4π sinθ/λ) does the second distinct Bragg reflection with nonzero intensity appear?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-SL-Q200-13"
  },
  {
   "id": "N-FA-SL-GOLD-52",
   "family": "superlattice_saxs",
   "ability": "inference",
   "question": "The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle superlattice (coordinates in nm; built from a published SAXS unit-cell size). Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional (thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each crystallite is a finite cut of about 177 particles in an arbitrary orientation. Each particle is a solid gold sphere with a core diameter of 10.3 nm and the DNA shell contains no gold. Treating the lattice as perfect and infinite, what percentage of the total volume is gold?",
   "scope": "按论文表 1 的 SAXS 晶胞边长构建的理想 FCC 晶粒模型（粒子中心，约 177 个，经确定性旋转）；不是实测粒子坐标，不含位置无序与峰宽。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "%"
   },
   "inputs_same_as": "FA-SL-GOLD-52"
  },
  {
   "id": "N-FA-OP-DIAM-S8",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the sphere diameter, in nm?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-DIAM-S8"
  },
  {
   "id": "N-FA-OP-D111-S2",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the spacing between adjacent close-packed (most densely populated) planes of sphere centres, in nm?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-D111-S2"
  },
  {
   "id": "N-FA-OP-EDGE-SIO2",
   "family": "opal_geometry",
   "ability": "perception",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. What is the edge length of the conventional cubic unit cell of the sphere lattice, in nm?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-EDGE-SIO2"
  },
  {
   "id": "N-FA-OP-PEAK-S3",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.00; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. Light is incident along the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-PEAK-S3"
  },
  {
   "id": "N-FA-OP-PEAK-S7-WATER",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model polystyrene opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive index 1.59 and the voids are filled with a medium of refractive index 1.33; take the effective index from the volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction of this packing. Light is incident along the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 FESEM 球径构建的理想接触球 FCC 晶粒模型（177 个球心，确定性旋转）；不含尺寸分布与堆垛缺陷，不是实测球心坐标。 空隙充水（n = 1.33）是模型假设（论文模拟了周围介质折射率的影响），不是实测条件。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-PEAK-S7-WATER"
  },
  {
   "id": "N-FA-OP-PEAK-SIO2-30",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface, and use an effective refractive index of 1.35 for the film. Light is incident from air at 30° from the film normal. What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-OP-PEAK-SIO2-30"
  },
  {
   "id": "N-FA-OP-ANGLE-SIO2",
   "family": "opal_bragg",
   "ability": "inference",
   "question": "The file lists the sphere centres (nm) of a model silica opal crystallite built from a published sphere diameter; neighbouring spheres touch. Model conditions: the only measured input is the sphere diameter reported by Fookes et al. (Sensors 2023; SEM); the spheres are identical (no size dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, which is the idealization behind the paper's Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of 177 spheres in an arbitrary orientation. Model the film as this lattice with its close-packed planes parallel to the film surface, and use an effective refractive index of 1.35 for the film. At what angle of incidence from the film normal, in degrees (light incident from air), does the first-order Bragg reflection from the close-packed planes occur at a vacuum wavelength of 500 nm?",
   "scope": "按论文 SEM 球径（266 nm）构建的理想接触球 FCC 晶粒模型；有效折射率 1.35 与入射角 30° 取自论文参数表。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-OP-ANGLE-SIO2"
  },
  {
   "id": "N-FA-MO-PERIOD-K079",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the moiré period (the moiré lattice constant), in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-MO-PERIOD-K079"
  },
  {
   "id": "N-FA-MO-AREA-M2",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the area of one moiré unit cell, in nm²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm^2"
   },
   "inputs_same_as": "FA-MO-AREA-M2"
  },
  {
   "id": "N-FA-MO-PERIOD-D1",
   "family": "moire_geometry",
   "ability": "perception",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the moiré period (the moiré lattice constant), in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-MO-PERIOD-D1"
  },
  {
   "id": "N-FA-MO-ATOMS-K110",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The XYZ file lists all carbon atoms of both layers of a model twisted bilayer graphene near an AA-stacked site (angstrom; rigid twist, layer spacing 3.35 Å; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. Assuming the two layers are unstrained and rigidly twisted, what is the moiré period (the moiré lattice constant) of this bilayer, in nm?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-MO-ATOMS-K110"
  },
  {
   "id": "N-FA-MO-NFULL-M1",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What is the superlattice density n_s, the carrier density that completely fills one set of spin- and valley-degenerate moiré bands, in units of 10¹² cm⁻²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "10^12 cm^-2"
   },
   "inputs_same_as": "FA-MO-NFULL-M1"
  },
  {
   "id": "N-FA-MO-NHALF-K079",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Kerelsky et al. (Nature 2019; STM); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. What carrier density corresponds to half filling of one set of spin- and valley-degenerate moiré bands (where correlated insulators appear), in units of 10¹² cm⁻²?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "10^12 cm^-2"
   },
   "inputs_same_as": "FA-MO-NHALF-K079"
  },
  {
   "id": "N-FA-MO-TWIST-D1",
   "family": "moire_inference",
   "ability": "inference",
   "question": "The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published twist angle). Model conditions: the only measured input is the twist angle reported by Cao et al. (Nature 2018; device twist angles from transport); both layers are ideal, unstrained graphene sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain. The graphene lattice constant is 0.246 nm. What twist angle between the two layers produces this moiré pattern, in degrees?",
   "scope": "按论文转角构建的刚性转角模型（无晶格弛豫、无异质应变）；AA 位点图相当于 STM 形貌的亮点位置，不是实测图像。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-MO-TWIST-D1"
  },
  {
   "id": "N-FA-ASM-EXT-6NCL",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Select all points labelled Vp54. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-6NCL"
  },
  {
   "id": "N-FA-ASM-T-6NCL",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. In this capsid the major capsid protein Vp54 forms trimeric pseudo-hexameric capsomers, and the 12 pentamers at the vertices are formed by a different protein. What is the triangulation number T of the icosahedral shell?",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-T-6NCL"
  },
  {
   "id": "N-FA-QDES-6NCL",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every protein chain of the Paramecium bursaria chlorella virus 1 (PBCV-1) capsid (PDB 6NCL), expanded to the whole particle with the 60 deposited icosahedral operators; columns are component (Vp54 = major capsid protein; P1–P14 = penton and minor capsid proteins), copy, x, y, z (angstrom). Select all points labelled Vp54. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条蛋白链一个 Cα 质心 × 60 个沉积的二十面体操作；冷冻电镜 3.5 Å（二十面体平均）。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-6NCL"
  },
  {
   "id": "N-FA-QD-PEAK-C",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. At what wavelength, in nm, is its first excitonic absorption peak?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-QD-PEAK-C"
  },
  {
   "id": "N-FA-QD-EPS-E",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. What is its molar extinction coefficient at the first excitonic peak, in units of 10⁵ M⁻¹ cm⁻¹?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "1e5 M^-1 cm^-1"
   },
   "inputs_same_as": "FA-QD-EPS-E"
  },
  {
   "id": "N-FA-QD-CONC-B",
   "family": "qdot_optics",
   "ability": "inference",
   "question": "The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom). Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − 0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm (valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance between any two atoms of the supplied nanocrystal. Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle. A dilute solution of these nanocrystals has an absorbance of 0.25 at the first excitonic peak in a 1.0 cm cuvette. What is the nanocrystal concentration, in µM (Beer–Lambert law)?",
   "scope": "按论文经验曲线出题；纳米晶为本项目构建的模型（理想闪锌矿球形切割，a = 6.08 Å，无配体），不是实测结构。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "uM"
   },
   "inputs_same_as": "FA-QD-CONC-B"
  },
  {
   "id": "N-FA-XD-WAVE-MOF5",
   "family": "diffraction_design",
   "ability": "design",
   "question": "The table lists every atom of one conventional cubic cell of MOF-5 (Zn4O(BDC)3, COD 1516287). Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity. Weights: C = 6, H = 1, O = 8, Zn = 30. You must choose the X-ray wavelength that places this lowest-angle reflection with non-zero intensity exactly at 2θ = 5.00°. What wavelength, in Å, should you use?",
   "scope": "424 原子整胞；运动学模型、原子序数权重；X 射线谱线波长在题干给出；设计选择基于计算证据。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-XD-WAVE-MOF5"
  },
  {
   "id": "N-FA-QDES-1AON",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the GroEL–GroES–(ADP)7 chaperonin complex, all 21 chains of PDB 1AON (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 3.0 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1AON"
  },
  {
   "id": "N-FA-QDES-1KX5",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα as C, DNA phosphorus as P) of the nucleosome core particle NCP147, PDB 1KX5 (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（蛋白 Cα、DNA P）；晶体结构 1.94 Å；组蛋白尾部位置取沉积模型。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1KX5"
  },
  {
   "id": "N-FA-QDES-1A34",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco mosaic virus capsid: the deposited copy of PDB 1A34 expanded with its 60 icosahedral operators (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个沉积的二十面体操作；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1A34"
  },
  {
   "id": "N-FA-VX-SPACING-561",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (56.1 G = 5.61 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. What is the vortex lattice spacing (centre-to-centre distance between neighbouring vortices), in nm?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-VX-SPACING-561"
  },
  {
   "id": "N-FA-VX-DENSITY-1173",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (117.3 G = 11.73 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. How many vortices are there per square micrometre (areal vortex density)?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "um^-2"
   },
   "inputs_same_as": "FA-VX-DENSITY-1173"
  },
  {
   "id": "N-FA-VX-SPACING-BSCCO",
   "family": "vortex_geometry",
   "ability": "perception",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the measured vortex lattice constant (0.855 μm) reported by Schaefermeier et al. (arXiv:2602.13060; BSCCO-2212, scanning NV magnetometry at 71 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. What is the vortex lattice spacing (centre-to-centre distance between neighbouring vortices), in nm?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-VX-SPACING-BSCCO"
  },
  {
   "id": "N-FA-VX-FIELD-BSCCO",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the measured vortex lattice constant (0.855 μm) reported by Schaefermeier et al. (arXiv:2602.13060; BSCCO-2212, scanning NV magnetometry at 71 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. Each vortex carries one superconducting flux quantum Φ0 = h/(2e) = 2.0678 × 10⁻¹⁵ Wb. What is the magnetic induction B inside the superconductor that produces this lattice, in mT?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "mT"
   },
   "inputs_same_as": "FA-VX-FIELD-BSCCO"
  },
  {
   "id": "N-FA-VX-FIELD-508",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (50.8 G = 5.08 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. Each vortex carries one superconducting flux quantum Φ0 = h/(2e) = 2.0678 × 10⁻¹⁵ Wb. What is the magnetic induction B inside the superconductor that produces this lattice, in mT?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "mT"
   },
   "inputs_same_as": "FA-VX-FIELD-508"
  },
  {
   "id": "N-FA-VX-FLUX-1887",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (188.7 G = 18.87 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. The magnetic induction inside the superconductor is B = 18.87 mT. How much magnetic flux does each vortex carry, in units of 10⁻¹⁵ Wb?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "1e-15 Wb"
   },
   "inputs_same_as": "FA-VX-FLUX-1887"
  },
  {
   "id": "N-FA-VX-SANS-1173",
   "family": "vortex_inference",
   "ability": "inference",
   "question": "The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor in a perpendicular magnetic field. Model conditions: the only measured input is the applied magnetic field (117.3 G = 11.73 mT) reported by Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K); the vortices form an ideal triangular lattice with exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an arbitrary orientation. In a small-angle neutron scattering experiment on this lattice, at what scattering vector q (q = 4π sinθ/λ) does the first-order Bragg peak of the vortex lattice appear, in μm⁻¹?",
   "scope": "按论文实测磁场（或实测晶格常数）构建的理想三角涡旋晶格模型（约 97 个涡旋，确定性旋转）；不是实测涡旋位置。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "um^-1"
   },
   "inputs_same_as": "FA-VX-SANS-1173"
  },
  {
   "id": "N-FA-CH-PITCH-R5011",
   "family": "cholesteric_geometry",
   "ability": "perception",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. What is the helical pitch p (the distance along the helix axis over which the director rotates by 360°), in nm?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-CH-PITCH-R5011"
  },
  {
   "id": "N-FA-CH-PITCH-LRCD",
   "family": "cholesteric_geometry",
   "ability": "perception",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for this cholesteric polymer coating, converted to a pitch with the paper's average refractive index of 1.6; the director twists uniformly about a straight helix axis with no defects, which is the idealization behind the paper's relation λ = n·p. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. What is the helical pitch p (the distance along the helix axis over which the director rotates by 360°), in nm?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-CH-PITCH-LRCD"
  },
  {
   "id": "N-FA-CH-LAMBDA-R5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the central wavelength λc of the selective (Bragg) reflection band, in nm? Use the average refractive index (ne + no)/2 of the host and its birefringence ne − no.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-CH-LAMBDA-R5011"
  },
  {
   "id": "N-FA-CH-BAND-R5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the width Δλ of the selective (Bragg) reflection band, in nm? Use the average refractive index (ne + no)/2 of the host and its birefringence ne − no.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-CH-BAND-R5011"
  },
  {
   "id": "N-FA-CH-HTP-S5011",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis (ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the idealization behind the paper's relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. The film contains 2.57 wt% of the chiral dopant. What is the helical twisting power HTP = 1/(p·c) of the dopant in this host (c as a weight fraction), in μm⁻¹?",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "um^-1"
   },
   "inputs_same_as": "FA-CH-HTP-S5011"
  },
  {
   "id": "N-FA-CH-LAMBDA-RRCD",
   "family": "cholesteric_optics",
   "ability": "inference",
   "question": "The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz. Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for this cholesteric polymer coating, converted to a pitch with the paper's average refractive index of 1.6; the director twists uniformly about a straight helix axis with no defects, which is the idealization behind the paper's relation λ = n·p. Each file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis. At normal incidence, what is the central wavelength λc of the selective (Bragg) reflection band, in nm? Use the average refractive index 1.6.",
   "scope": "按论文参数构建的理想胆甾螺旋指向矢场（每 5 nm 一点，1.5 μm，确定性取向）；不是实测结构；模型反射与实测相差约 1–2%。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-CH-LAMBDA-RRCD"
  },
  {
   "id": "N-FA-PEAK-RUTILE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of rutile (TiO2, COD 9004141). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Ti = 22). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（四方 P4₂/mnm）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-RUTILE"
  },
  {
   "id": "N-FA-PEAK-ZNO",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of zincite (ZnO, COD 2300112). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Zn = 30). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（六方 P6₃mc）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-ZNO"
  },
  {
   "id": "N-FA-PEAK-QUARTZ",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of alpha-quartz (SiO2, COD 5000035). Use the kinematic structure factor with atomic numbers as angle-independent weights (O = 8, Si = 14). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规晶胞（三方 P3₂21）按 CIF 全部对称操作展开；1/3、2/3 等特殊位置写作 0.3333 时取精确分数；运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-QUARTZ"
  },
  {
   "id": "N-FA-ASM-EXT-1RYP",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1RYP"
  },
  {
   "id": "N-FA-ASM-RG-1RYP",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1RYP"
  },
  {
   "id": "N-FA-ASM-EXT-1STM",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite panicum mosaic virus capsid: the five deposited chains of PDB 1STM expanded with the 12 operators of its biological assembly (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1STM"
  },
  {
   "id": "N-FA-ASM-RG-1STM",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite panicum mosaic virus capsid: the five deposited chains of PDB 1STM expanded with the 12 operators of its biological assembly (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1STM"
  },
  {
   "id": "N-FA-ASM-EXT-2BUK",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-2BUK"
  },
  {
   "id": "N-FA-ASM-RG-2BUK",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-2BUK"
  },
  {
   "id": "N-FA-ASM-GUIN-1RYP",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue of the yeast 20S proteasome (PDB 1RYP). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.15 nm⁻¹?",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-1RYP"
  },
  {
   "id": "N-FA-ASM-GUIN-1STM",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms (60 copies) of the satellite panicum mosaic virus capsid (PDB 1STM). Treat each supplied point as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.12 nm⁻¹?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-GUIN-1STM"
  },
  {
   "id": "N-FA-DEB-1RYP",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.300 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-1RYP"
  },
  {
   "id": "N-FA-DEB-2BUK",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The XYZ file lists the capsid-protein Cα atoms of the complete satellite tobacco necrosis virus capsid: the deposited chain of PDB 2BUK expanded with the 60 operators of its biological assembly (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.250 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-2BUK"
  },
  {
   "id": "N-FA-QDES-1RYP",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The XYZ file lists one point per residue (protein Cα written as C) of the yeast 20S proteasome, all 28 chains of PDB 1RYP (angstrom). Select all supplied points. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每残基一个点（Cα）；晶体结构 1.9 Å；不代表溶液中的构象柔性。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1RYP"
  },
  {
   "id": "N-FA-ASM-T-1STM",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite panicum mosaic virus capsid (PDB 1STM), generated with the operators of its biological assembly; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα，按生物组装体的对称操作展开；RNA 未包含。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-T-1STM"
  },
  {
   "id": "N-FA-ASM-CAPS-2BUK",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of each capsid-protein copy of the satellite tobacco necrosis virus capsid (PDB 2BUK), generated with the 60 operators of its biological assembly; columns are component, copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：衣壳蛋白 Cα × 60 个生物组装体操作；RNA 与钙离子未包含。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-CAPS-2BUK"
  },
  {
   "id": "N-FA-ASM-EXT-1CWP",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1CWP"
  },
  {
   "id": "N-FA-ASM-RG-1CWP",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1CWP"
  },
  {
   "id": "N-FA-ASM-EXT-1SVA",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-1SVA"
  },
  {
   "id": "N-FA-ASM-RG-1SVA",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-1SVA"
  },
  {
   "id": "N-FA-ASM-EXT-2FT1",
   "family": "assembly_extent",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. What is the largest distance between any two of the selected points, in nanometres?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-EXT-2FT1"
  },
  {
   "id": "N-FA-ASM-RG-2FT1",
   "family": "assembly_rg",
   "ability": "perception",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. What is the equal-weight radius of gyration of the selected points (every point weighted equally), in nanometres?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "nm"
   },
   "inputs_same_as": "FA-ASM-RG-2FT1"
  },
  {
   "id": "N-FA-DEB-1CWP",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.160 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-1CWP"
  },
  {
   "id": "N-FA-QDES-1CWP",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Select all points labelled CP. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1CWP"
  },
  {
   "id": "N-FA-DEB-1SVA",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.090 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-1SVA"
  },
  {
   "id": "N-FA-QDES-1SVA",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every VP1 chain of the simian virus 40 capsid (PDB 1SVA), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (VP1), copy, x, y, z (angstrom). Select all points labelled VP1. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条 VP1 链一个 Cα 质心 × 60 个操作；VP2/VP3 与 DNA 未包含；晶体结构 3.1 Å。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-1SVA"
  },
  {
   "id": "N-FA-DEB-2FT1",
   "family": "debye_intensity",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. Treat each selected point as an identical point scatterer (no form factor, no solvent). What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at q = 0.065 nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-DEB-2FT1"
  },
  {
   "id": "N-FA-QDES-2FT1",
   "family": "scattering_q_design",
   "ability": "design",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Select all points labelled gp5. Treat each selected point as an identical point scatterer (no form factor, no solvent). A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity I(q)/I(0) of the selected points first falls to 0.50. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) does I(q)/I(0) first reach 0.50? Compute the intensity exactly from all point pairs.",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "nm^-1"
   },
   "inputs_same_as": "FA-QDES-2FT1"
  },
  {
   "id": "N-FA-ASM-T-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-T-1CWP"
  },
  {
   "id": "N-FA-ASM-CAPS-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the total number of capsomers (pentamers plus hexamers) in the shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-CAPS-1CWP"
  },
  {
   "id": "N-FA-ASM-HEX-1CWP",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every capsid-protein chain of the cowpea chlorotic mottle virus capsid (PDB 1CWP), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (CP), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by CP?",
   "scope": "约简表示：每条衣壳蛋白链一个 Cα 质心 × 60 个操作；RNA 未包含；晶体结构 3.2 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-HEX-1CWP"
  },
  {
   "id": "N-FA-ASM-T-2FT1",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the triangulation number T of the icosahedral shell formed by gp5?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-T-2FT1"
  },
  {
   "id": "N-FA-ASM-HEX-2FT1",
   "family": "capsid_architecture",
   "ability": "inference",
   "question": "The table lists the Cα centroid of every gp5 chain of the mature bacteriophage HK97 head (Head II, PDB 2FT1), expanded to the whole particle with the 60 operators of its biological assembly; columns are component (gp5), copy, x, y, z (angstrom). Each row is one copy of a protein, labelled by component. What is the number of hexameric capsomers (hexons) in the shell formed by gp5?",
   "scope": "约简表示：每条 gp5 链一个 Cα 质心 × 60 个操作；门户顶点的局部不对称未体现；晶体结构 3.9 Å。",
   "response_format": {
    "value": "one number rounded to 0 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-ASM-HEX-2FT1"
  },
  {
   "id": "N-FA-ROT-7029-111",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is the DFTB3+MBD-optimized geometry of QM7-X molecule 7029 (C4H8N2S, 15 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, S 31.972071 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_11 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "MHz"
   },
   "inputs_same_as": "FA-ROT-7029-111"
  },
  {
   "id": "N-FA-ROT-G9-101",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is guest G9 ((3-hydroxy-1-adamantyl)ammonium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (30 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u, O 15.994915 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_01 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "MHz"
   },
   "inputs_same_as": "FA-ROT-G9-101"
  },
  {
   "id": "N-FA-ROT-G2-110",
   "family": "rotational_line",
   "ability": "inference",
   "question": "The supplied XYZ is guest G2 (4-(1,1-dimethylpiperidin-1-ium-4-yl)-1,1-dimethyl-piperidin-1-ium) of the SAMPL9 WP6 host–guest challenge, one 3D structure (46 atoms, angstrom); rows are counted from 1 after the two header lines. Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal distortion); masses of the most abundant isotopes: C 12.000000 u, H 1.007825 u, N 14.003074 u; rotational constants A ≥ B ≥ C are h/(8π²I) with I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, 1 u = 1.66053906660×10⁻²⁷ kg. Predict the frequency of the J_KaKc = 1_10 ← 0_00 rotational transition of this molecule, in MHz.",
   "scope": "单一构象的刚性转子（QM7-X 为 DFTB3+MBD 优化几何，SAMPL9 为挑战赛提供的 3D 结构）；坐标原样；同位素质量与常数见题干；不含振动平均与离心畸变。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "MHz"
   },
   "inputs_same_as": "FA-ROT-G2-110"
  },
  {
   "id": "N-FA-DIST-6LYZ-SS30",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys30 and Cys115 of hen egg-white lysozyme (PDB 6LYZ, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys30) and SG(Cys115) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "6LYZ 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-6LYZ-SS30"
  },
  {
   "id": "N-FA-DIST-1CRN-SS16",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The excerpt gives the SSBOND record and the ATOM records of Cys16 and Cys26 of crambin (PDB 1CRN, chain A), copied unchanged (angstrom). In this supplied structure, atoms SG(Cys16) and SG(Cys26) form the disulfide bridge listed in the SSBOND record. What is this bond length?",
   "scope": "1CRN 晶体结构两个半胱氨酸；只测 SG–SG 距离，不据此单独判定成键状态。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-1CRN-SS16"
  },
  {
   "id": "N-FA-DIST-WP6-C20O22",
   "family": "named_bond_distance",
   "ability": "perception",
   "question": "The supplied XYZ is one WP6 (carboxylated pillar[6]arene, all twelve carboxyl groups deprotonated) host conformer from the SAMPL9 host–guest challenge (150 atoms, angstrom); rows are counted from 1 after the two header lines. In this supplied structure, atoms C20 (row 20) and O22 (row 22) form the delocalized C–O bond of a carboxylate group (C20 is the carboxylate carbon COO⁻, O22 one of its two terminal oxygens). What is this bond length?",
   "scope": "SAMPL9 WP6 主体单一构象；只测该结构中的键长，不据此判断键级。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-DIST-WP6-C20O22"
  },
  {
   "id": "N-FA-PEAK-SI",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of silicon (Si, COD 9008565). Use the kinematic structure factor with atomic numbers as angle-independent weights (Si = 14). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-SI"
  },
  {
   "id": "N-FA-PEAK-DIAMOND",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of diamond (C, COD 9008564). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-DIAMOND"
  },
  {
   "id": "N-FA-GUIN-1UBQ",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of ubiquitin (PDB 1UBQ, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.50 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-GUIN-1UBQ"
  },
  {
   "id": "N-FA-GUIN-1CRN",
   "family": "guinier_intensity",
   "ability": "inference",
   "question": "The XYZ file lists every non-hydrogen atom of crambin (PDB 1CRN, chains A). Treat each supplied atom as an identical point scatterer. In the Guinier approximation (which applies at this q), what is the normalized small-angle scattering intensity I(q)/I(0) at q = 0.50 nm⁻¹?",
   "scope": "等权点散射体；非实测 SAXS。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-GUIN-1CRN"
  },
  {
   "id": "N-FA-FRET-1BNA",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1BNA (B-DNA dodecamer (Drew–Dickerson)), copied unchanged. Model a FRET donor as a point at atom C1' of nucleotide Dc1 and an acceptor as a point at atom C1' of nucleotide Dg12. Assume a Förster radius R0 = 3.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针；R0 为题设值；不代表真实染料位置。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "FA-FRET-1BNA"
  },
  {
   "id": "N-FC-BNP002-1UBQ",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 76 Cα atoms of ubiquitin (PDB 1UBQ, chain A), one point per residue (angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1UBQ 链 A 的全部 Cα 位点（76 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-BNP002-1UBQ"
  },
  {
   "id": "N-FC-BNP002-1CRN",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 46 Cα atoms of crambin (PDB 1CRN, chain A), one point per residue (angstrom). Compute the equal-weight radius of gyration of all supplied sites: Rg = sqrt(sum_i ||ri-centroid||^2 / N).  Do not use mass weights. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1CRN 链 A 的全部 Cα 位点（46 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-BNP002-1CRN"
  },
  {
   "id": "N-FC-BNP001-1CRN",
   "family": "extent_choice_v2",
   "ability": "perception",
   "question": "The supplied XYZ lists the 46 Cα atoms of crambin (PDB 1CRN, chain A), one point per residue (angstrom). For the supplied finite point set, compute the maximum Euclidean distance over all unordered pairs. Choose the correct value (angstrom, four decimals).",
   "scope": "PDB 1CRN 链 A 的全部 Cα 位点（46 个，等权点）；坐标单位 Å；只计算该文件的点集，不做全原子或溶液构象推断。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FC-BNP001-1CRN"
  },
  {
   "id": "N-FA-HBG-TWO-OO",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer TWO of 3-hydroxy-2-butenamide (enol form, hydroxyl toward the amide carbonyl), a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, O6, the hydroxyl oxygen (OH), is covalently bonded to H5, and O14, the carbonyl oxygen (C=O), is the candidate hydrogen-bond acceptor (rows 6, 5 and 14, counted from 1 after the two XYZ header lines). What is the donor–acceptor distance O6···O14?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-HBG-TWO-OO"
  },
  {
   "id": "N-FA-HBG-FIVE-HN",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer FIVE of 3-hydroxy-2-butenamide, a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, O5, the hydroxyl oxygen (OH), is covalently bonded to H4, and N11, the amide NH2 nitrogen, is the candidate hydrogen-bond acceptor (rows 5, 4 and 11, counted from 1 after the two XYZ header lines). What is the hydrogen–acceptor distance H4···N11?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": "angstrom"
   },
   "inputs_same_as": "FA-HBG-FIVE-HN"
  },
  {
   "id": "N-FA-HBG-FOUR-ANG",
   "family": "hbond_geometry",
   "ability": "perception",
   "question": "The supplied XYZ is conformer FOUR of 3-hydroxy-2-butenamide, a computed structure from Altun, Bleda & Trindle (2021) (14 atoms, angstrom). In this conformer, N3, the amide NH2 nitrogen, is covalently bonded to H5, and O13, the hydroxyl oxygen (OH), is the candidate hydrogen-bond acceptor (rows 3, 5 and 13, counted from 1 after the two XYZ header lines). What is the N3–H5···O13 angle at the hydrogen H5?",
   "scope": "论文 SI 中的单一计算构象（坐标原样）；只测几何量，不据此判断氢键强弱或能量。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-HBG-FOUR-ANG"
  },
  {
   "id": "N-FA-FP-QM7X-7040-D1",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7040：A 为 DFTB3+MBD 优化结构，B 为配对位移结构 c1-d1；B 处 PBE0+MBD 总力；只问 λ=1 处方向导数。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "eV"
   },
   "inputs_same_as": "FA-FP-QM7X-7040-D1"
  },
  {
   "id": "N-FA-FP-QM7X-7040-D2",
   "family": "force_path_derivative",
   "ability": "inference",
   "question": "Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. Along the straight path r_i(λ) = r_i(B) + λ[r_i(A) − r_i(B)], which starts at B and moves toward A, what is dE/dλ at λ = 0 (that is, at B), in eV? Do not realign, mass-weight or normalize the displacement.",
   "scope": "QM7-X 分子 7040：A 为 DFTB3+MBD 优化结构，B 为配对位移结构 c1-d2；B 处 PBE0+MBD 总力；路径从 B 指向 A，只问 λ=0（即 B 处）方向导数。",
   "response_format": {
    "value": "one number rounded to 4 decimals",
    "unit": "eV"
   },
   "inputs_same_as": "FA-FP-QM7X-7040-D2"
  },
  {
   "id": "N-FA-PEAK-CU",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of copper (Cu, fcc, COD 5000216). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cu = 29). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；面心立方金属。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-CU"
  },
  {
   "id": "N-FA-PEAK-FE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of iron (alpha-Fe, bcc, COD 9000657). Use the kinematic structure factor with atomic numbers as angle-independent weights (Fe = 26). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；体心立方金属。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-FE"
  },
  {
   "id": "N-FA-PEAK-MG",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of magnesium (Mg, hcp, COD 9008506). Use the kinematic structure factor with atomic numbers as angle-independent weights (Mg = 12). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "六方晶胞对称展开；密排六方金属。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-MG"
  },
  {
   "id": "N-FA-PEAK-ALNI",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cubic cell of aluminium nickel (AlNi, ordered B2 alloy, COD 9008802). Use the kinematic structure factor with atomic numbers as angle-independent weights (Al = 13, Ni = 28). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "常规立方晶胞对称展开；B2 有序合金。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-ALNI"
  },
  {
   "id": "N-FA-PEAK-B5H9",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentaborane (B5H9, COD 1521678). Use the kinematic structure factor with atomic numbers as angle-independent weights (B = 5, H = 1). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断成键类型。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-B5H9"
  },
  {
   "id": "N-FA-PEAK-K2CUF4",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of potassium copper fluoride (K2CuF4, COD 1527502). Use the kinematic structure factor with atomic numbers as angle-independent weights (Cu = 29, F = 9, K = 19). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；层状 Jahn–Teller 体系，只问最近壳层几何。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-K2CUF4"
  },
  {
   "id": "N-FA-PEAK-MN2CO10",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of dimanganese decacarbonyl (Mn2(CO)10, COD 2103865). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, Mn = 25, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断金属–金属键。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-MN2CO10"
  },
  {
   "id": "N-FA-PEAK-PARA-I",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form I (monoclinic, COD 2104364). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；多晶型之一。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-PARA-I"
  },
  {
   "id": "N-FA-PEAK-PARA-II",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of paracetamol form II (orthorhombic, COD 2105052). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1, N = 7, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；与 I 型同化合物、不同堆积。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-PARA-II"
  },
  {
   "id": "N-FA-PEAK-PENTACENE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of pentacene (triclinic, COD 2012157). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, H = 1). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "分子晶体，晶胞对称展开；只问几何，不判断 π 堆积强弱。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-PENTACENE"
  },
  {
   "id": "N-FA-PEAK-HAP",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of hydroxylapatite (Ca5(PO4)3OH, COD 1011242). Use the kinematic structure factor with atomic numbers as angle-independent weights (Ca = 20, O = 8, P = 15). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；全占位条目。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-HAP"
  },
  {
   "id": "N-FA-PEAK-ARAGONITE",
   "family": "first_diffraction_peak",
   "ability": "inference",
   "question": "The table lists every atom of one conventional cell (cell parameters in the first line of the table) of aragonite (CaCO3, COD 2100187). Use the kinematic structure factor with atomic numbers as angle-independent weights (C = 6, Ca = 20, O = 8). For radiation of wavelength 1.54060 Å and first-order Bragg diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?",
   "scope": "晶胞对称展开；文石型碳酸钙。 运动学模型、原子序数权重；Cu Kα。",
   "response_format": {
    "value": "one number rounded to 2 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "FA-PEAK-ARAGONITE"
  },
  {
   "id": "N-EN-1A6M-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain A from PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Leu2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "EN-1A6M-TOR-2-PHI"
  },
  {
   "id": "N-EN-1A6M-FRET-1-15",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1A6M (sperm whale oxy-myoglobin, X-ray 1.0 Å), copied unchanged. Model a FRET donor as a point at atom CA of Val1 and an acceptor as a point at atom CA of Ala15. Assume a Förster radius R0 = 2.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "EN-1A6M-FRET-1-15"
  },
  {
   "id": "N-EN-1FHA-TOR-6-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 5–7 of chain A from PDB entry 1FHA (human H-chain ferritin, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Ser6, defined by atoms C(5)–N(6)–CA(6)–C(6), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 5–7 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "EN-1FHA-TOR-6-PHI"
  },
  {
   "id": "N-EN-1FHA-FRET-5-22",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1FHA (human H-chain ferritin, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Thr5 and an acceptor as a point at atom CA of Arg22. Assume a Förster radius R0 = 2.00 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "EN-1FHA-FRET-5-22"
  },
  {
   "id": "N-EN-12E8-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain H from PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Val2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "EN-12E8-TOR-2-PHI"
  },
  {
   "id": "N-EN-12E8-FRET-1-8",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain H of PDB entry 12E8 (2E8 Fab fragment, heavy chain, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Glu1 and an acceptor as a point at atom CA of Gly8. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "EN-12E8-FRET-1-8"
  },
  {
   "id": "N-EN-1HHK-TOR-2-PHI",
   "family": "backbone_torsion",
   "ability": "perception",
   "question": "The excerpt contains residues 1–3 of chain A from PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), ATOM records copied unchanged (coordinates in angstrom). Compute the backbone torsion φ of Ser2, defined by atoms C(1)–N(2)–CA(2)–C(2), using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around the circle, starting from an arbitrary point.",
   "scope": "只含残基 1–3 的 ATOM 记录；无替代构象；按 IUPAC 符号约定。",
   "response_format": {
    "value": "one number rounded to 1 decimals",
    "unit": "degree"
   },
   "inputs_same_as": "EN-1HHK-TOR-2-PHI"
  },
  {
   "id": "N-EN-1HHK-FRET-1-7",
   "family": "fret_efficiency",
   "ability": "inference",
   "question": "The excerpt contains the ATOM records of chain A of PDB entry 1HHK (MHC class I HLA-A*0201 with peptide, heavy chain, X-ray), copied unchanged. Model a FRET donor as a point at atom CA of Gly1 and an acceptor as a point at atom CA of Tyr7. Assume a Förster radius R0 = 2.50 nm (orientation and spectral factors already included). What transfer efficiency does the Förster model predict?",
   "scope": "虚拟点探针（R0 为题设值）；不代表真实染料位置、连接臂或取向分布。",
   "response_format": {
    "value": "one number rounded to 3 decimals",
    "unit": ""
   },
   "inputs_same_as": "EN-1HHK-FRET-1-7"
  }
 ],
 "teacher_answers": [
  {
   "id": "FA-ANG-BCD",
   "family": "named_bond_angle",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "D",
   "numeric_answer": {
    "value": "116.03",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "angle_at_adjacent_atom:O3-C4-C(row 3)",
     "value": "105.31",
     "reason": "测成相邻原子 C4 处的键角，而非题目指定的顶点 O3。",
     "is_correct": false,
     "absolute_error": "10.71511894383677"
    },
    {
     "label": "B",
     "rule": "idealized_value",
     "value": "109.47",
     "reason": "直接套用理想杂化角 109.47（sp3 tetrahedral），没有测量这一构象。",
     "is_correct": false,
     "absolute_error": "6.55511894383677"
    },
    {
     "label": "C",
     "rule": "angle_at_adjacent_atom:O3-C37-O(row 76)",
     "value": "111.70",
     "reason": "测成相邻原子 C37 处的键角，而非题目指定的顶点 O3。",
     "is_correct": false,
     "absolute_error": "4.32511894383677"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "116.03",
     "reason": "按向量夹角公式在指定顶点计算；另以 atan2 实现复核。",
     "is_correct": true,
     "absolute_error": "0.00488105616323"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "supplement",
     "value": "63.97",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "triangle_angle_at_first_atom",
     "value": "31.69",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O3-C4-C(row 5)",
     "value": "108.99",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O3-C4-H(row 104)",
     "value": "111.78",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O3-C37-C(row 38)",
     "value": "107.07",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O3-C37-H(row 141)",
     "value": "108.77",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "bond_rule": "covalent radii sum × 1.2",
    "vertex_bonded_to_both": true,
    "acos_deg": 116.02511894383677,
    "atan2_deg": 116.02511894383677,
    "implementations_agree": true,
    "vertex_neighbors": [
     [
      3,
      36
     ]
    ]
   },
   "scales": {
    "input_nm": 1.5137884033113742,
    "reasoning_nm": 0.24233617146435238,
    "reasoning_definition": "指定三原子两两最大间距（局部 0.1–1 nm）"
   },
   "source": "https://github.com/samplchallenges/SAMPL9/blob/22aa2df3a086f5f0ca49dab8f8d75e5e0305445b/host_guest/bCD/host_files/B-CD.pdb",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": "CNP001",
   "input_hashes": {
    "assets/qa/BCD.xyz": "43ef359725d6380245f6d04a31188bb65cd0547a6acd2edf63c5bc30225321ed"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ANG-WP6",
   "family": "named_bond_angle",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "119.94",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "angle_at_adjacent_atom:C1-C3-C(row 6)",
     "value": "116.70",
     "reason": "测成相邻原子 C3 处的键角，而非题目指定的顶点 C1。",
     "is_correct": false,
     "absolute_error": "3.24467868829773"
    },
    {
     "label": "B",
     "rule": "other_neighbor:C3-C1-O(row 12)",
     "value": "117.63",
     "reason": "顶点正确，但另一端选成与 C1 相连的 O(row 12)。",
     "is_correct": false,
     "absolute_error": "2.31467868829773"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "119.94",
     "reason": "按向量夹角公式在指定顶点计算；另以 atan2 实现复核。",
     "is_correct": true,
     "absolute_error": "0.00467868829773"
    },
    {
     "label": "D",
     "rule": "other_neighbor:O(row 12)-C1-C4",
     "value": "122.32",
     "reason": "顶点正确，但一端选成与 C1 相连的 O(row 12)。",
     "is_correct": false,
     "absolute_error": "2.37532131170227"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "idealized_value",
     "value": "120.00",
     "reason": "too close to the correct value"
    },
    {
     "rule": "angle_at_adjacent_atom:C1-C4-H(row 7)",
     "value": "119.41",
     "reason": "too close to the correct value"
    },
    {
     "rule": "supplement",
     "value": "60.06",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "triangle_angle_at_first_atom",
     "value": "30.17",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:C1-C3-C(row 9)",
     "value": "123.00",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:C1-C4-C(row 5)",
     "value": "122.24",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "bond_rule": "covalent radii sum × 1.2",
    "vertex_bonded_to_both": true,
    "acos_deg": 119.94467868829773,
    "atan2_deg": 119.94467868829773,
    "implementations_agree": true,
    "vertex_neighbors": [
     [
      2,
      3,
      11
     ]
    ]
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 0.2445951348657614,
    "reasoning_definition": "指定三原子两两最大间距（局部 0.1–1 nm）"
   },
   "source": "https://github.com/samplchallenges/SAMPL9/blob/22aa2df3a086f5f0ca49dab8f8d75e5e0305445b/host_guest/WP6/host_files/WP6.pdb",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": "CNP002",
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ANG-DMBCD",
   "family": "named_bond_angle",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "107.62",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "triangle_angle_at_first_atom",
     "value": "36.14",
     "reason": "把三角形 C3–O2–CH3-C45 的顶点错放在 C3 上。",
     "is_correct": false,
     "absolute_error": "71.47827103555409"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "107.62",
     "reason": "按向量夹角公式在指定顶点计算；另以 atan2 实现复核。",
     "is_correct": true,
     "absolute_error": "0.00172896444591"
    },
    {
     "label": "C",
     "rule": "idealized_value",
     "value": "109.47",
     "reason": "直接套用理想杂化角 109.47（sp3 tetrahedral），没有测量这一构象。",
     "is_correct": false,
     "absolute_error": "1.85172896444591"
    },
    {
     "label": "D",
     "rule": "angle_at_adjacent_atom:O2-C3-H(row 145)",
     "value": "110.93",
     "reason": "测成相邻原子 C3 处的键角，而非题目指定的顶点 O2。",
     "is_correct": false,
     "absolute_error": "3.31172896444591"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "angle_at_adjacent_atom:O2-C3-C(row 4)",
     "value": "108.33",
     "reason": "too close to the correct value"
    },
    {
     "rule": "supplement",
     "value": "72.38",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O2-C3-C(row 2)",
     "value": "109.60",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O2-CH3-C45-H(row 95)",
     "value": "109.50",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O2-CH3-C45-H(row 96)",
     "value": "109.47",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angle_at_adjacent_atom:O2-CH3-C45-H(row 97)",
     "value": "109.49",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "bond_rule": "covalent radii sum × 1.2",
    "vertex_bonded_to_both": true,
    "acos_deg": 107.61827103555409,
    "atan2_deg": 107.61827103555409,
    "implementations_agree": true,
    "vertex_neighbors": [
     [
      2,
      44
     ]
    ]
   },
   "scales": {
    "input_nm": 1.8011477618452076,
    "reasoning_nm": 0.23068359282792522,
    "reasoning_definition": "指定三原子两两最大间距（局部 0.1–1 nm）"
   },
   "source": "https://github.com/samplchallenges/SAMPL9/blob/22aa2df3a086f5f0ca49dab8f8d75e5e0305445b/host_guest/bCD/host_files/H26DM-B-CD.pdb",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": "CNP006",
   "input_hashes": {
    "assets/qa/DMBCD.xyz": "02843472cec8e7c5d9f48844b1940ec4d4aa44fb37c18fb113ea34064ede4451"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-TOR-1CRN-G20",
   "family": "backbone_torsion",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "106.3",
    "unit": "degree",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "106.3",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
     "absolute_error": "0.04279306180946"
    },
    {
     "label": "B",
     "rule": "neighbor_residue_same_torsion",
     "value": "-52.7",
     "reason": "算成相邻残基 21 的 φ。",
     "is_correct": false,
     "absolute_error": "158.95720693819054"
    },
    {
     "label": "C",
     "rule": "other_backbone_torsion",
     "value": "7.3",
     "reason": "算成同一残基的 ψ 而非 φ。",
     "is_correct": false,
     "absolute_error": "98.95720693819054"
    },
    {
     "label": "D",
     "rule": "unsigned_plane_angle",
     "value": "73.7",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
     "absolute_error": "32.55720693819054"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "opposite_sign",
     "value": "-106.3",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "peptide_omega",
     "value": "-179.9",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "backbone_bond_angle",
     "value": "112.2",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "checks": {
    "normals_deg": 106.25720693819054,
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    "chain_continuity_max_C_N_A": 1.5,
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    "periodic_separation": true,
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   "scales": {
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    "reasoning_definition": "二面角首末原子间距（局部 0.1–1 nm）"
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   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
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   "id": "FA-TOR-1UBQ-V26",
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    "value": "-46.4",
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     "label": "A",
     "rule": "other_backbone_torsion",
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     "reason": "算成同一残基的 φ 而非 ψ。",
     "is_correct": false,
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    {
     "label": "B",
     "rule": "correct",
     "value": "-46.4",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
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    {
     "label": "C",
     "rule": "opposite_sign",
     "value": "46.4",
     "reason": "符号约定取反：相当于把镜像手性当成原构象。",
     "is_correct": false,
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    {
     "label": "D",
     "rule": "unsigned_plane_angle",
     "value": "133.6",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
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   ],
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    {
     "rule": "neighbor_residue_same_torsion",
     "value": "-44.4",
     "reason": "too close to the correct value"
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    {
     "rule": "peptide_omega",
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     "rule": "backbone_bond_angle",
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   ],
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   "checks": {
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   "source": "https://www.rcsb.org/structure/1UBQ",
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  {
   "id": "FA-TOR-6LYZ-T43",
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   "numeric_answer": {
    "value": "-143.6",
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    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "other_backbone_torsion",
     "value": "154.7",
     "reason": "算成同一残基的 ψ 而非 φ。",
     "is_correct": false,
     "absolute_error": "298.34587831564128"
    },
    {
     "label": "B",
     "rule": "neighbor_residue_same_torsion",
     "value": "-156.6",
     "reason": "算成相邻残基 44 的 φ。",
     "is_correct": false,
     "absolute_error": "12.95412168435872"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "-143.6",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
     "absolute_error": "0.04587831564128"
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    {
     "label": "D",
     "rule": "unsigned_plane_angle",
     "value": "36.4",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
     "absolute_error": "180.04587831564128"
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   ],
   "excluded_candidates": [
    {
     "rule": "opposite_sign",
     "value": "143.6",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "peptide_omega",
     "value": "175.3",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "backbone_bond_angle",
     "value": "107.2",
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   ],
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   "rank_shortcuts": {
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   "checks": {
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   "scales": {
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   "source": "https://www.rcsb.org/structure/6LYZ",
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  {
   "id": "FA-FP-QM7X-7001",
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   "numeric_answer": {
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    "tolerance": "0.00005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "sign_convention",
     "value": "-1.8479",
     "reason": "把力当作能量梯度（漏掉 F = −∂E/∂r 的负号），或忽略题目给定的路径方向。",
     "is_correct": false,
     "absolute_error": "3.69580972510700"
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    {
     "label": "B",
     "rule": "heavy_atoms_only",
     "value": "0.7856",
     "reason": "只累加重原子，忽略氢原子的受力与位移。",
     "is_correct": false,
     "absolute_error": "1.06230972510700"
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    {
     "label": "C",
     "rule": "trapezoid_energy_estimate",
     "value": "0.9240",
     "reason": "按 A 处受力为零的梯形估计给出能量差，而题目问的是 B 处的导数。",
     "is_correct": false,
     "absolute_error": "0.92390972510700"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "1.8479",
     "reason": "B 处沿给定路径方向的导数 = −Σ F_i(B)·(路径方向位移)；十进制与浮点实现一致。",
     "is_correct": true,
     "absolute_error": "0.00000972510700"
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   ],
   "excluded_candidates": [
    {
     "rule": "abs_projection_sum",
     "value": "1.9226",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "magnitude_product",
     "value": "4.0738",
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   ],
   "rank": {
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   "rank_shortcuts": {
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   "checks": {
    "decimal_projection_S_eV": "-1.84790972510700",
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    "force_key": "totFOR",
    "limits": "局部方向导数，不是 E(B)−E(A)，也不证明 A 是 PBE0+MBD 极小点。"
   },
   "scales": {
    "input_nm": 0.6944622531696953,
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   "id": "FA-FP-QM7X-7002",
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     "label": "A",
     "rule": "correct",
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     "is_correct": true,
     "absolute_error": "0.00002042279200"
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    {
     "label": "B",
     "rule": "heavy_atoms_only",
     "value": "-0.3371",
     "reason": "只累加重原子，忽略氢原子的受力与位移。",
     "is_correct": false,
     "absolute_error": "0.09817957720800"
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    {
     "label": "C",
     "rule": "abs_projection_sum",
     "value": "0.7672",
     "reason": "逐原子取投影绝对值后相加，丢失相互抵消。",
     "is_correct": false,
     "absolute_error": "1.20247957720800"
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    {
     "label": "D",
     "rule": "magnitude_product",
     "value": "2.1519",
     "reason": "只乘力与位移的模长，忽略夹角。",
     "is_correct": false,
     "absolute_error": "2.58717957720800"
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   "excluded_candidates": [
    {
     "rule": "sign_convention",
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     "rule": "trapezoid_energy_estimate",
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   ],
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   "checks": {
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    "derivative_eV": "-0.43527957720800",
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    "atom_order_consistent": true,
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     "Geom-m7002-i1-c1-d1"
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    "force_key": "totFOR",
    "limits": "局部方向导数，不是 E(B)−E(A)，也不证明 A 是 PBE0+MBD 极小点。"
   },
   "scales": {
    "input_nm": 0.602051443573014,
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    "reasoning_definition": "全部原子参与：B 的最大原子间距"
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   "legacy_qa": "QNI001",
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   "id": "FA-FP-QM7X-7035",
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   "numeric_answer": {
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    {
     "label": "A",
     "rule": "trapezoid_energy_estimate",
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     "reason": "按 A 处受力为零的梯形估计给出能量差，而题目问的是 B 处的导数。",
     "is_correct": false,
     "absolute_error": "2.76591734449600"
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    {
     "label": "B",
     "rule": "correct",
     "value": "5.5319",
     "reason": "B 处沿给定路径方向的导数 = −Σ F_i(B)·(路径方向位移)；十进制与浮点实现一致。",
     "is_correct": true,
     "absolute_error": "0.00001734449600"
    },
    {
     "label": "C",
     "rule": "abs_projection_sum",
     "value": "6.0387",
     "reason": "逐原子取投影绝对值后相加，丢失相互抵消。",
     "is_correct": false,
     "absolute_error": "0.50678265550400"
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    {
     "label": "D",
     "rule": "magnitude_product",
     "value": "11.4318",
     "reason": "只乘力与位移的模长，忽略夹角。",
     "is_correct": false,
     "absolute_error": "5.89988265550400"
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   ],
   "excluded_candidates": [
    {
     "rule": "sign_convention",
     "value": "-5.5319",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "heavy_atoms_only",
     "value": "0.2285",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
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   "checks": {
    "decimal_projection_S_eV": "-5.53191734449600",
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    "force_key": "totFOR",
    "limits": "局部方向导数，不是 E(B)−E(A)，也不证明 A 是 PBE0+MBD 极小点。"
   },
   "scales": {
    "input_nm": 0.5899566101974874,
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    "reasoning_definition": "全部原子参与：B 的最大原子间距"
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   "source": "QM7-X, Hoja et al., Sci. Data 8, 43 (2021) https://www.nature.com/articles/s41597-021-00812-2 ; data https://zenodo.org/records/4288677",
   "license": "CC BY 4.0",
   "legacy_qa": "QNI002",
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   "id": "FA-EXT-NACL",
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   "option_audit": [
    {
     "label": "A",
     "value": "(2 0 0)",
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     "is_correct": false,
     "relative_amplitude": 1.0,
     "mechanisms": [
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    },
    {
     "label": "B",
     "value": "(1 1 1)",
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     "reason": "按“体心 I：h+k+l 为奇数消光”会判为消光，但本结构实际坐标给出非零 |F|。",
     "is_correct": false,
     "relative_amplitude": 0.21428571,
     "mechanisms": [
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      "weak_not_absent"
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    {
     "label": "C",
     "value": "(3 1 0)",
     "rule": "correct",
     "reason": "由表中全部原子坐标求和，|F|/F000 ≤ 1e-6。",
     "is_correct": true,
     "relative_amplitude": 0.0,
     "mechanisms": []
    },
    {
     "label": "D",
     "value": "(2 2 0)",
     "rule": "allowed_generic",
     "reason": "普通允许反射，非零。",
     "is_correct": false,
     "relative_amplitude": 1.0,
     "mechanisms": [
      "allowed_generic"
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    }
   ],
   "excluded_candidates": [],
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   "checks": {
    "f000": 112,
    "extinction_origin": "lattice_centering",
    "zero_threshold": 1e-06,
    "clear_threshold": 0.05,
    "atoms": 8,
    "a_A": 5.64056,
    "extinct_pool": [
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     "(2 1 0)",
     "(2 1 1)",
     "(2 2 1)",
     "(3 0 0)",
     "(3 1 0)",
     "(3 2 0)",
     "(3 2 1)",
     "(3 2 2)",
     "(3 3 0)",
     "(4 1 0)",
     "(4 1 1)"
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    "rule_shortcuts": {
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      "predicted_absent": [],
      "uniquely_correct": false
     },
     "I": {
      "predicted_absent": [
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      "uniquely_correct": false
     },
     "F": {
      "predicted_absent": [
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      "uniquely_correct": true
     },
     "F+d": {
      "predicted_absent": [
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      ],
      "uniquely_correct": false
     }
    },
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     "rule": "centroid_diameter",
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     "reason": "用两倍最大中心距代替最大点对间距（前者 ≥ 后者，一般不相等）。",
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     "rule": "first_last_rows",
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     "reason": "template_engine 定义计算，并以十进制实现复核。",
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     "rule": "rms_pair_distance",
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    {
     "rule": "radius_as_extent",
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    {
     "rule": "centroid_diameter",
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    {
     "rule": "first_last_rows",
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     "rule": "largest_axis_span",
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     "rule": "with_vdw_radii",
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   ],
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   "id": "FC-CNP011",
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    {
     "label": "A",
     "rule": "heavy_atoms_only",
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     "reason": "只统计重原子，忽略氢。",
     "is_correct": false,
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     "label": "B",
     "rule": "mass_weighted",
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    {
     "label": "C",
     "rule": "correct",
     "value": "8.2617",
     "reason": "template_engine 定义计算，并以十进制实现复核。",
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     "label": "D",
     "rule": "maximum_radius",
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     "reason": "用最大中心距（“半径”）替代回转半径。",
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     "value": "constitutional",
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     "reason": "键连图相同，不是构造异构体。"
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    {
     "label": "C",
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     "label": "A",
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    {
     "label": "B",
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     "reason": "所有立体中心反转且双键构型不变：互为镜像。"
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    {
     "label": "C",
     "value": "diastereomer",
     "is_correct": false,
     "reason": "不是“键连相同而构型部分不同”的情形。"
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    {
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     "value": "constitutional",
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     "reason": "键连图相同，不是构造异构体。"
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   "checks": {
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   "id": "FA-SREL-7111-ENAN",
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     "label": "A",
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    },
    {
     "label": "B",
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     "reason": "所有立体中心反转且双键构型不变：互为镜像。"
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    {
     "label": "C",
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     "reason": "不是“键连相同而构型部分不同”的情形。"
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     "reason": "键连图相同，不是构造异构体。"
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   "checks": {
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    "stereocentres": [
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    "limits": "立体中心按第一配位层四（或三）个不同基团判定；与数据集立体异构体标签交叉核对，不一致即拒绝。"
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     "reason": "用共价半径之和估计，没有测量这一结构。",
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    {
     "label": "D",
     "rule": "one_bond_too_far:N6-C4",
     "value": "2.289",
     "reason": "多数了一根键：量成 N6 到 N5 之外的 C4 的距离。",
     "is_correct": false,
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   ],
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   "id": "FA-DIST-7122-CN",
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     "label": "A",
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     "is_correct": false,
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     "label": "B",
     "rule": "other_bond:C5-O4",
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    {
     "label": "C",
     "rule": "correct",
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     "label": "D",
     "rule": "one_bond_too_far:N7-C6",
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     "rule": "other_bond:C5-C6",
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    {
     "rule": "other_bond:N7-H11",
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     "rule": "one_bond_too_far:N7-O4",
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   "id": "FA-DIST-6LYZ-SS",
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     "label": "A",
     "rule": "other_bond:SG(Cys127)-CB(Cys127)",
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     "label": "C",
     "rule": "covalent_radii_sum",
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     "rule": "one_bond_too_far:SG(Cys127)-CB(Cys6)",
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     "rule": "other_bond:SG(Cys6)-CB(Cys6)",
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     "rule": "one_bond_too_far:SG(Cys6)-CB(Cys127)",
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   "checks": {
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   "source": "https://www.rcsb.org/structure/6LYZ",
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   "legacy_qa": "BNP007",
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     "label": "C",
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     "label": "D",
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     "rule": "supplement",
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     "rule": "triangle_angle_at_first_atom",
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    {
     "rule": "other_neighbor:O4-S3-N(row 6)",
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     "rule": "other_neighbor:N(row 6)-S3-O5",
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   "checks": {
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    {
     "label": "D",
     "value": "6 at 2.109 Å",
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    {
     "rule": "merged_first_two_shells",
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     "rule": "mixed_shells",
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     "rule": "mixed_shells",
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   "id": "FA-COORD-MOF5-NODE",
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    {
     "label": "A",
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    {
     "label": "B",
     "value": "12 at 18.261 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "6 at 12.912 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：6 个，距离 12.9123 Å。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "3 at 12.912 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [
    {
     "rule": "mixed_shells",
     "value": "12 at 12.912 Å",
     "reason": "有效但未选（可信度排序）"
    },
    {
     "rule": "merged_first_two_shells",
     "value": "18 at 12.912 Å",
     "reason": "有效但未选（可信度排序）"
    }
   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "centre_row": 33,
    "shells": [
     {
      "distance_A": 12.91235,
      "count": 6
     },
     {
      "distance_A": 18.26082,
      "count": 12
     },
     {
      "distance_A": 22.364846,
      "count": 8
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    ],
    "in_cell_count": 3,
    "shell_tolerance_A": 0.001,
    "a_A": 25.8247,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 2.58247,
    "reasoning_nm": 2.58247,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
   },
   "source": "https://www.crystallography.net/cod/1516287.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
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   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-NACL",
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   "correct_label": "D",
   "numeric_answer": {
    "value": "27.36",
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    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "theta_not_two_theta",
     "value": "13.68",
     "reason": "报告了 θ 而非 2θ。",
     "is_correct": false,
     "absolute_error": "13.68443172937974"
    },
    {
     "label": "B",
     "rule": "lowest_index_ignoring_extinction",
     "value": "15.70",
     "reason": "取最低指数反射 (1 0 0)，未检查它是否消光。",
     "is_correct": false,
     "absolute_error": "11.66443172937974"
    },
    {
     "label": "C",
     "rule": "assumed_lattice_rule:I",
     "value": "22.27",
     "reason": "按体心晶格规则判断，得到 (1 1 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "5.09443172937974"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "27.36",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 3.25658 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00443172937974"
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   ],
   "excluded_candidates": [
    {
     "rule": "assumed_lattice_rule:P",
     "value": "15.70",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "second_allowed_peak",
     "value": "31.70",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "15.70",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "bragg_missing_factor_two",
     "value": "56.47",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "strongest_not_first",
     "value": "31.70",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "index_sum_for_root",
     "value": "48.37",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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    "target": 4,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 1 1)",
    "d_A": 3.2565788343802358,
    "relative_amplitude": 0.214286,
    "skipped_extinct": [
     "(1 0 0)",
     "(1 1 0)"
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    "a_A": 5.64056,
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   },
   "scales": {
    "input_nm": 0.564056,
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    "reasoning_definition": "答案反射的晶面间距 d"
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   "source": "https://www.crystallography.net/cod/9008678.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-CSCL",
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   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "21.54",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "21.54",
     "reason": "第一个 |F|≠0 的反射 (1 0 0)，d = 4.12300 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00431430385508"
    },
    {
     "label": "B",
     "rule": "assumed_lattice_rule:I",
     "value": "30.64",
     "reason": "按体心晶格规则判断，得到 (1 1 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "9.10431430385508"
    },
    {
     "label": "C",
     "rule": "assumed_lattice_rule:F",
     "value": "37.76",
     "reason": "按面心晶格规则判断，得到 (1 1 1)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "16.22431430385508"
    },
    {
     "label": "D",
     "rule": "bragg_missing_factor_two",
     "value": "43.88",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
     "absolute_error": "22.34431430385508"
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   ],
   "excluded_candidates": [
    {
     "rule": "d_equals_a",
     "value": "21.54",
     "reason": "too close to the correct value"
    },
    {
     "rule": "theta_not_two_theta",
     "value": "10.77",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "second_allowed_peak",
     "value": "30.64",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "strongest_not_first",
     "value": "30.64",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
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    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 0 0)",
    "d_A": 4.123,
    "relative_amplitude": 0.527778,
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    "wavelength_A": 1.5406,
    "a_A": 4.123,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 0.4123,
    "reasoning_nm": 0.4123,
    "reasoning_definition": "答案反射的晶面间距 d"
   },
   "source": "https://www.crystallography.net/cod/9008789.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/materials/9008789.cif": "776b7702628ce1963c06d88fb7ed0fcd19d48a56654507f28f115e16ec5b20d3"
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-MGO",
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   "correct_label": "B",
   "numeric_answer": {
    "value": "36.89",
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    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "assumed_lattice_rule:I",
     "value": "29.94",
     "reason": "按体心晶格规则判断，得到 (1 1 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "6.948981918047286"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "36.89",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 2.43469 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.001018081952714"
    },
    {
     "label": "C",
     "rule": "second_allowed_peak",
     "value": "42.86",
     "reason": "报告了第二个非零反射 (2 0 0)。",
     "is_correct": false,
     "absolute_error": "5.971018081952714"
    },
    {
     "label": "D",
     "rule": "bragg_missing_factor_two",
     "value": "78.51",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
     "absolute_error": "41.621018081952714"
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   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "21.05",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "assumed_lattice_rule:P",
     "value": "21.05",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "theta_not_two_theta",
     "value": "18.44",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "21.05",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "strongest_not_first",
     "value": "42.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "index_sum_for_root",
     "value": "66.46",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
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    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 1 1)",
    "d_A": 2.4346860851726517,
    "relative_amplitude": 0.2,
    "skipped_extinct": [
     "(1 0 0)",
     "(1 1 0)"
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    "wavelength_A": 1.5406,
    "a_A": 4.217,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 0.42169999999999996,
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    "reasoning_definition": "答案反射的晶面间距 d"
   },
   "source": "https://www.crystallography.net/cod/1000053.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNI004",
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   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-SALEM2",
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   "numeric_answer": {
    "value": "7.42",
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    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "theta_not_two_theta",
     "value": "3.71",
     "reason": "报告了 θ 而非 2θ。",
     "is_correct": false,
     "absolute_error": "3.712315008421777"
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    {
     "label": "B",
     "rule": "assumed_lattice_rule:P",
     "value": "5.25",
     "reason": "按简单立方晶格规则判断，得到 (1 0 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "2.172315008421777"
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    {
     "label": "C",
     "rule": "correct",
     "value": "7.42",
     "reason": "第一个 |F|≠0 的反射 (1 1 0)，d = 11.90082 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.002315008421777"
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    {
     "label": "D",
     "rule": "assumed_lattice_rule:F",
     "value": "9.09",
     "reason": "按面心晶格规则判断，得到 (1 1 1)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "1.667684991578223"
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   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "5.25",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "second_allowed_peak",
     "value": "10.50",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_a",
     "value": "5.25",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "bragg_missing_factor_two",
     "value": "14.88",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "strongest_not_first",
     "value": "36.97",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "index_sum_for_root",
     "value": "10.50",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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   },
   "checks": {
    "first_reflection": "(1 1 0)",
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    "skipped_extinct": [
     "(1 0 0)"
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    "wavelength_A": 1.5406,
    "a_A": 16.8303,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 1.68303,
    "reasoning_nm": 1.1900819259403952,
    "reasoning_definition": "答案反射的晶面间距 d"
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   "source": "https://www.crystallography.net/cod/4118891.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNI006",
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-PEAK-MOF5",
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   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "5.92",
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    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "theta_not_two_theta",
     "value": "2.96",
     "reason": "报告了 θ 而非 2θ。",
     "is_correct": false,
     "absolute_error": "2.962857118323631"
    },
    {
     "label": "B",
     "rule": "assumed_lattice_rule:P",
     "value": "3.42",
     "reason": "按简单立方晶格规则判断，得到 (1 0 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "2.502857118323631"
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    {
     "label": "C",
     "rule": "assumed_lattice_rule:I",
     "value": "4.84",
     "reason": "按体心晶格规则判断，得到 (1 1 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "1.082857118323631"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "5.92",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 14.90990 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.002857118323631"
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   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "3.42",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "second_allowed_peak",
     "value": "6.84",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_a",
     "value": "3.42",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bragg_missing_factor_two",
     "value": "11.86",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "strongest_not_first",
     "value": "6.84",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "index_sum_for_root",
     "value": "10.27",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_largest": true,
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   "checks": {
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     "(1 1 0)"
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    "wavelength_A": 1.5406,
    "a_A": 25.8247,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
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    "reasoning_nm": 1.490989749674133,
    "reasoning_definition": "答案反射的晶面间距 d"
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   "source": "https://www.crystallography.net/cod/1516287.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNI007",
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  {
   "id": "FA-FRET-1EHZ",
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   "ability": "inference",
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   "numeric_answer": {
    "value": "0.246",
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    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.246",
     "reason": "r = 7.2342 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.00042896994901645"
    },
    {
     "label": "B",
     "rule": "closest_atom_pair",
     "value": "0.337",
     "reason": "用两残基间最近的重原子对距离（6.718 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.09142896994901645"
    },
    {
     "label": "C",
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "未计算距离，默认 r≈R0，直接取 E=0.5。",
     "is_correct": false,
     "absolute_error": "0.25442896994901645"
    },
    {
     "label": "D",
     "rule": "complement",
     "value": "0.754",
     "reason": "报告了 1−E（供体保留的比例）。",
     "is_correct": false,
     "absolute_error": "0.50842896994901645"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "path_length_distance",
     "value": null,
     "reason": "not defined for this input"
    },
    {
     "rule": "inverse_square_law",
     "value": "0.408",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 7.234215712155672,
    "R0_nm": 6.0,
    "path_length_nm": null,
    "efficiency": 0.24557103005098355,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 8.370236080302634,
    "reasoning_nm": 7.234215712155672,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1EHZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNI004",
   "input_hashes": {
    "assets/bio/1EHZ.pdb": "3a43aefed0b6d5d8b4be47c44470e61258d0e90b5ff608f132a2c9731c9df41f"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-FRET-1UBQ",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.800",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "path_length_distance",
     "value": "0.007",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.7927785261247975"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.800",
     "reason": "r = 1.9847 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.0002214738752025"
    },
    {
     "label": "C",
     "rule": "wrong_acceptor_atom",
     "value": "0.929",
     "reason": "受体位置取成该残基的 CA 而非指定原子。",
     "is_correct": false,
     "absolute_error": "0.1292214738752025"
    },
    {
     "label": "D",
     "rule": "closest_atom_pair",
     "value": "0.962",
     "reason": "用两残基间最近的重原子对距离（1.456 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.1622214738752025"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "complement",
     "value": "0.200",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "inverse_square_law",
     "value": "0.613",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 1.9847089484355134,
    "R0_nm": 2.5,
    "path_length_nm": 5.739773174399119,
    "efficiency": 0.7997785261247975,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 4.399029916924866,
    "reasoning_nm": 1.9847089484355134,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-FRET-6LYZ",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.575",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "path_length_distance",
     "value": "0.000",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.5751210545510782"
    },
    {
     "label": "B",
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "未计算距离，默认 r≈R0，直接取 E=0.5。",
     "is_correct": false,
     "absolute_error": "0.0751210545510782"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.575",
     "reason": "r = 2.0917 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.0001210545510782"
    },
    {
     "label": "D",
     "rule": "closest_atom_pair",
     "value": "0.930",
     "reason": "用两残基间最近的重原子对距离（1.430 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.3548789454489218"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "complement",
     "value": "0.425",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "inverse_square_law",
     "value": "0.525",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 2.0917366445133574,
    "R0_nm": 2.2,
    "path_length_nm": 48.6306242130847,
    "efficiency": 0.5751210545510782,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 4.736488641388259,
    "reasoning_nm": 2.0917366445133574,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-GUIN-6LYZ",
   "family": "guinier_intensity",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.791",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.496",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.295316459104663"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.791",
     "reason": "等权 Rg = 1.3966 nm，qRg = 0.838 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.000316459104663"
    },
    {
     "label": "C",
     "rule": "amplitude_not_intensity",
     "value": "0.890",
     "reason": "报告了散射振幅比（强度的平方根）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.098683540895337"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.913",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.121683540895337"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "half_dmax_as_rg",
     "value": "0.510",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "first_order_expansion",
     "value": "0.766",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "linear_in_q",
     "value": "0.756",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.998",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 1.396595015569387,
    "q_per_nm": 0.6,
    "q_rg": 0.8379570093416321,
    "dmax_nm": 4.736488641388259,
    "atoms": 1001,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 4.736488641388259,
    "reasoning_nm": 4.736488641388259,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-GUIN-1EHZ",
   "family": "guinier_intensity",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.766",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.449",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.3165007634233602"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.766",
     "reason": "等权 Rg = 2.2384 nm，qRg = 0.895 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0004992365766398"
    },
    {
     "label": "C",
     "rule": "single_axis_spread_as_rg",
     "value": "0.847",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.0814992365766398"
    },
    {
     "label": "D",
     "rule": "amplitude_not_intensity",
     "value": "0.875",
     "reason": "报告了散射振幅比（强度的平方根）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.1094992365766398"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "half_dmax_as_rg",
     "value": "0.393",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "first_order_expansion",
     "value": "0.733",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "linear_in_q",
     "value": "0.742",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.997",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 2.2384079160659227,
    "q_per_nm": 0.4,
    "q_rg": 0.8953631664263692,
    "dmax_nm": 8.370236080302634,
    "atoms": 1329,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 8.370236080302634,
    "reasoning_nm": 8.370236080302634,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/1EHZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1EHZ.pdb": "3a43aefed0b6d5d8b4be47c44470e61258d0e90b5ff608f132a2c9731c9df41f"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-GUIN-1BNA",
   "family": "guinier_intensity",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.754",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.429",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.3253782426156211"
    },
    {
     "label": "B",
     "rule": "first_order_expansion",
     "value": "0.718",
     "reason": "只取一阶展开 1−q²Rg²/3。",
     "is_correct": false,
     "absolute_error": "0.0363782426156211"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.754",
     "reason": "等权 Rg = 1.3137 nm，qRg = 0.920 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0003782426156211"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.810",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.0556217573843789"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "linear_in_q",
     "value": "0.736",
     "reason": "too close to the correct value"
    },
    {
     "rule": "half_dmax_as_rg",
     "value": "0.458",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.869",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.997",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 1.3136521502257867,
    "q_per_nm": 0.7,
    "q_rg": 0.9195565051580507,
    "dmax_nm": 4.372427082296514,
    "atoms": 486,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 4.372427082296514,
    "reasoning_nm": 4.372427082296514,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/1BNA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1BNA.pdb": "df42f1506792f191b957227b061360652adcf6f813eb69d9ec553067ea584670"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-1AON",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "20.30",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "rg_from_dmax_solid_sphere",
     "value": "7.86",
     "reason": "按实心球关系由最大尺寸估算回转半径 Rg = √(3/5)·Dmax/2（空心外壳会低估）。",
     "is_correct": false,
     "absolute_error": "12.440520034225723"
    },
    {
     "label": "B",
     "rule": "max_radius",
     "value": "11.21",
     "reason": "用最大中心距（半径而非直径或均方根）。",
     "is_correct": false,
     "absolute_error": "9.090520034225723"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "20.30",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.000520034225723"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "27.44",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "7.139479965774277"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "22.42",
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    {
     "rule": "largest_axis_span",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "mean_radius",
     "value": "6.61",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_radius_from_rg",
     "value": "8.83",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "two_rg",
     "value": "13.68",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_axis_rms",
     "value": "4.88",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
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     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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     "absolute_error": "1.960905534067554"
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    {
     "label": "B",
     "rule": "correct",
     "value": "6.84",
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     "is_correct": true,
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     "label": "C",
     "rule": "sphere_radius_from_rg",
     "value": "8.83",
     "reason": "按实心球关系 R = √(5/3)·Rg 换成半径。",
     "is_correct": false,
     "absolute_error": "1.989094465932446"
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     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "27.44",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
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     "rule": "radius_of_gyration",
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     "reason": "too close to the correct value"
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    {
     "rule": "centroid_diameter",
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     "reason": "valid but not selected (rank balance / plausibility)"
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     "rule": "largest_axis_span",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_radius",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_diameter_from_rg",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "rg_from_dmax_solid_sphere",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_distance",
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     "reason": "valid but not selected (rank balance / plausibility)"
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     "label": "B",
     "rule": "half_dmax_as_rg",
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     "reason": "把最大尺寸的一半当作回转半径。",
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     "label": "C",
     "rule": "first_order_expansion",
     "value": "0.649",
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     "absolute_error": "0.0549943742731701"
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    {
     "label": "D",
     "rule": "correct",
     "value": "0.704",
     "reason": "等权 Rg = 6.8409 nm，qRg = 1.026 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
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     "rule": "linear_in_q",
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     "reason": "too close to the correct value"
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     "rule": "angstrom_nanometre_mixup",
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     "rule": "amplitude_not_intensity",
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     "rule": "q_unit_conversion",
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     "rule": "single_axis_spread_as_rg",
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   ],
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     "label": "B",
     "rule": "mean_radius",
     "value": "3.57",
     "reason": "用中心距的算术平均。",
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     "label": "C",
     "rule": "max_radius",
     "value": "10.29",
     "reason": "用最大中心距（半径而非直径或均方根）。",
     "is_correct": false,
     "absolute_error": "6.584347965477064"
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    {
     "label": "D",
     "rule": "correct",
     "value": "16.87",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.004347965477064"
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     "rule": "bounding_box_diagonal",
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     "rule": "centroid_diameter",
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     "rule": "largest_axis_span",
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     "rule": "sphere_radius_from_rg",
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     "rule": "two_rg",
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    {
     "rule": "sphere_diameter_from_rg",
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     "rule": "rg_from_dmax_solid_sphere",
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     "label": "C",
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     "is_correct": true,
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     "rule": "bounding_box_diagonal",
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     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
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     "rule": "centroid_diameter",
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     "rule": "largest_axis_span",
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     "rule": "max_radius",
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    {
     "rule": "sphere_radius_from_rg",
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     "rule": "sphere_diameter_from_rg",
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     "rule": "rg_from_dmax_solid_sphere",
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    {
     "rule": "max_distance",
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   ],
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     "rule": "amplitude_not_intensity",
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     "rule": "half_dmax_as_rg",
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     "reason": "valid but not selected (rank balance / plausibility)"
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     "rule": "angstrom_nanometre_mixup",
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    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "18.95",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "1.652157629923896"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "28.60",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "11.302157629923896"
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   ],
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    {
     "rule": "centroid_diameter",
     "value": "17.30",
     "reason": "too close to the correct value"
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    {
     "rule": "largest_axis_span",
     "value": "16.51",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "mean_radius",
     "value": "7.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "8.65",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_rg",
     "value": "14.68",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_rms",
     "value": "4.24",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "6.70",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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   "checks": {
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   "id": "FA-ASM-RG-1A34",
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     "label": "A",
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     "is_correct": true,
     "absolute_error": "0.000308653022393"
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    {
     "label": "B",
     "rule": "sphere_radius_from_rg",
     "value": "9.48",
     "reason": "按实心球关系 R = √(5/3)·Rg 换成半径。",
     "is_correct": false,
     "absolute_error": "2.140308653022393"
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    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "18.95",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "11.610308653022393"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "28.60",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
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     "absolute_error": "21.260308653022393"
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    {
     "rule": "mean_radius",
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     "reason": "too close to the correct value"
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    {
     "rule": "radius_of_gyration",
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     "reason": "too close to the correct value"
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    {
     "rule": "centroid_diameter",
     "value": "17.30",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "largest_axis_span",
     "value": "16.51",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_radius",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_axis_rms",
     "value": "4.24",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "rg_from_dmax_solid_sphere",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_distance",
     "value": "17.30",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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  {
   "id": "FA-ASM-GUIN-1A34",
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    "tolerance": "0.0005"
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    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.348",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.3553099056409587"
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    {
     "label": "B",
     "rule": "correct",
     "value": "0.703",
     "reason": "等权 Rg = 7.3397 nm，qRg = 1.028 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0003099056409587"
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    {
     "label": "C",
     "rule": "amplitude_not_intensity",
     "value": "0.839",
     "reason": "报告了散射振幅比（强度的平方根）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.1356900943590413"
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    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.889",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.1856900943590413"
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   ],
   "excluded_candidates": [
    {
     "rule": "linear_in_q",
     "value": "0.710",
     "reason": "too close to the correct value"
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    {
     "rule": "half_dmax_as_rg",
     "value": "0.613",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "first_order_expansion",
     "value": "0.648",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.996",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "checks": {
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   "input_hashes": {
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  {
   "id": "FA-ASM-CAPS-1A34",
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    {
     "label": "A",
     "rule": "hexons_only",
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     "is_correct": false,
     "absolute_error": "12"
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    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "10",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "2"
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    {
     "label": "C",
     "rule": "correct",
     "value": "12",
     "reason": "N = 60 个 CP，T = N/60 = 1；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
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    {
     "label": "D",
     "rule": "copies_as_capsomers",
     "value": "60",
     "reason": "把亚基数当作壳粒数。",
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   ],
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    {
     "rule": "all_pentamers",
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     "reason": "too close to the correct value"
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    {
     "rule": "pentons_only",
     "value": "12",
     "reason": "too close to the correct value"
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   ],
   "rank": {
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   "rank_shortcuts": {
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   "checks": {
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    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
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     "label": "A",
     "rule": "max_radius",
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    {
     "label": "B",
     "rule": "correct",
     "value": "113.70",
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     "rule": "wrong_selection",
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     "rule": "bounding_box_diagonal",
     "value": "188.01",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
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     "rule": "centroid_diameter",
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    {
     "rule": "largest_axis_span",
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     "reason": "too close to the correct value"
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    {
     "rule": "mean_radius",
     "value": "53.72",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_radius_from_rg",
     "value": "69.37",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "two_rg",
     "value": "107.47",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_axis_rms",
     "value": "31.02",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_diameter_from_rg",
     "value": "138.75",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "44.04",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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   },
   "checks": {
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    "component": "VP5",
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   "source": "https://www.rcsb.org/structure/6CGR",
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  {
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     "label": "A",
     "rule": "single_axis_rms",
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     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "22.71670080974997"
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    {
     "label": "B",
     "rule": "correct",
     "value": "53.74",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00329919025003"
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    {
     "label": "C",
     "rule": "wrong_selection",
     "value": "125.17",
     "reason": "用了全部组分的点，而题目只问指定组分。",
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     "absolute_error": "71.43329919025003"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "188.01",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
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   ],
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    {
     "rule": "mean_radius",
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     "reason": "too close to the correct value"
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    {
     "rule": "radius_of_gyration",
     "value": "53.74",
     "reason": "too close to the correct value"
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    {
     "rule": "centroid_diameter",
     "value": "113.71",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "largest_axis_span",
     "value": "113.45",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "56.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "69.37",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "138.75",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "44.04",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_distance",
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     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "checks": {
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  {
   "id": "FA-ASM-T-6CGR",
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   "numeric_answer": {
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    {
     "label": "A",
     "rule": "neighbouring_allowed_T_13",
     "value": "13",
     "reason": "相邻的允许三角剖分数 T=13；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "3"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "16",
     "reason": "N = 960 个 VP5，T = N/60 = 16；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "C",
     "rule": "neighbouring_allowed_T_19",
     "value": "19",
     "reason": "相邻的允许三角剖分数 T=19；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "3"
    },
    {
     "label": "D",
     "rule": "neighbouring_allowed_T_21",
     "value": "21",
     "reason": "相邻的允许三角剖分数 T=21；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "5"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "neighbouring_allowed_T_12",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 960,
    "T": 16,
    "component": "VP5",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
    "input_nm": 125.16983166166679,
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    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
   },
   "source": "https://www.rcsb.org/structure/6CGR",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6CGR-chain-centroids.txt": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-CAPS-6CGR",
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    "value": "162",
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    "decimals": 0,
    "tolerance": "0.4"
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   "option_audit": [
    {
     "label": "A",
     "rule": "hexons_only",
     "value": "150",
     "reason": "只数了六邻体，漏掉 12 个五邻体。",
     "is_correct": false,
     "absolute_error": "12"
    },
    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "160",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "2"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "162",
     "reason": "N = 960 个 VP5，T = N/60 = 16；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "D",
     "rule": "all_pentamers",
     "value": "192",
     "reason": "把所有亚基都当作五聚体。",
     "is_correct": false,
     "absolute_error": "30"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "pentons_only",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "copies_as_capsomers",
     "value": "960",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 960,
    "T": 16,
    "component": "VP5",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
    "input_nm": 125.16983166166679,
    "reasoning_nm": 113.69876316688763,
    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
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   "source": "https://www.rcsb.org/structure/6CGR",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6CGR-chain-centroids.txt": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-HEX-6CGR",
   "family": "capsid_architecture",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "150",
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    "decimals": 0,
    "tolerance": "0.4"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "150",
     "reason": "N = 960 个 VP5，T = N/60 = 16；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "160",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "10"
    },
    {
     "label": "C",
     "rule": "all_capsomers",
     "value": "162",
     "reason": "把五邻体也算作六邻体。",
     "is_correct": false,
     "absolute_error": "12"
    },
    {
     "label": "D",
     "rule": "hexon_subunits",
     "value": "900",
     "reason": "报告了六邻体中的亚基数而非六邻体数。",
     "is_correct": false,
     "absolute_error": "750"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "pentons_as_hexons",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
    "achieved": 1
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   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 960,
    "T": 16,
    "component": "VP5",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
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   "source": "https://www.rcsb.org/structure/6CGR",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6CGR-chain-centroids.txt": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33"
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-7ARQ",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "33.87",
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    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "max_radius",
     "value": "17.65",
     "reason": "用最大中心距（半径而非直径或均方根）。",
     "is_correct": false,
     "absolute_error": "16.22108354629358"
    },
    {
     "label": "B",
     "rule": "largest_axis_span",
     "value": "29.62",
     "reason": "只取单一坐标轴上的最大跨度。",
     "is_correct": false,
     "absolute_error": "4.25108354629358"
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    {
     "label": "C",
     "rule": "correct",
     "value": "33.87",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00108354629358"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "41.47",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "7.59891645370642"
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   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "35.30",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "mean_radius",
     "value": "8.70",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "12.12",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_rg",
     "value": "18.77",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_rms",
     "value": "6.59",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "24.23",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "13.12",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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    "mirror_pair_cue": false
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   "checks": {
    "points": 2689,
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    "value_nm": 33.87108354629358,
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    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
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   "source": "https://www.rcsb.org/structure/7ARQ",
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   "input_hashes": {
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   "id": "FA-ASM-RG-7ARQ",
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    "value": "9.39",
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    "tolerance": "0.005"
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    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "6.59",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "2.79584241011186"
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    {
     "label": "B",
     "rule": "mean_radius",
     "value": "8.70",
     "reason": "用中心距的算术平均。",
     "is_correct": false,
     "absolute_error": "0.68584241011186"
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    {
     "label": "C",
     "rule": "correct",
     "value": "9.39",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00415758988814"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "41.47",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "32.08415758988814"
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   ],
   "excluded_candidates": [
    {
     "rule": "radius_of_gyration",
     "value": "9.39",
     "reason": "too close to the correct value"
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    {
     "rule": "centroid_diameter",
     "value": "35.30",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "largest_axis_span",
     "value": "29.62",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "17.65",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "12.12",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "24.23",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "13.12",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_distance",
     "value": "33.87",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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    "mirror_pair_cue": false
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   "checks": {
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    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
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   "source": "https://www.rcsb.org/structure/7ARQ",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "id": "FA-ASM-EXT-7ARQ-SCAF",
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    "tolerance": "0.005"
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    {
     "label": "A",
     "rule": "sphere_radius_from_rg",
     "value": "11.91",
     "reason": "按实心球关系 R = √(5/3)·Rg 换成半径。",
     "is_correct": false,
     "absolute_error": "20.51051105781647"
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    {
     "label": "B",
     "rule": "sphere_diameter_from_rg",
     "value": "23.81",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "8.61051105781647"
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    {
     "label": "C",
     "rule": "largest_axis_span",
     "value": "28.58",
     "reason": "只取单一坐标轴上的最大跨度。",
     "is_correct": false,
     "absolute_error": "3.84051105781647"
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    {
     "label": "D",
     "rule": "correct",
     "value": "32.42",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00051105781647"
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   ],
   "excluded_candidates": [
    {
     "rule": "bounding_box_diagonal",
     "value": "40.59",
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    {
     "rule": "centroid_diameter",
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    {
     "rule": "mean_radius",
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    {
     "rule": "max_radius",
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    {
     "rule": "two_rg",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_axis_rms",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "rg_from_dmax_solid_sphere",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "wrong_selection",
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   ],
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   "checks": {
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   "id": "FA-ASM-RG-7ARQ-SCAF",
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    "value": "9.22",
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    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
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     "label": "A",
     "rule": "single_axis_rms",
     "value": "6.44",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "2.78315996138367"
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    {
     "label": "B",
     "rule": "mean_radius",
     "value": "8.56",
     "reason": "用中心距的算术平均。",
     "is_correct": false,
     "absolute_error": "0.66315996138367"
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    {
     "label": "C",
     "rule": "correct",
     "value": "9.22",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00315996138367"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "40.59",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "31.36684003861633"
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   ],
   "excluded_candidates": [
    {
     "rule": "radius_of_gyration",
     "value": "9.22",
     "reason": "too close to the correct value"
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    {
     "rule": "centroid_diameter",
     "value": "34.08",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "largest_axis_span",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "max_radius",
     "value": "17.04",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_radius_from_rg",
     "value": "11.91",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "23.81",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "12.56",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "wrong_selection",
     "value": "33.87",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_distance",
     "value": "32.42",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 1317,
    "component": "scaffold",
    "value_nm": 9.22315996138367,
    "dmax_nm": 32.42051105781647,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 33.87108354629358,
    "reasoning_nm": 32.42051105781647,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/7ARQ-nucleotide-points.txt": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-GUIN-7ARQ",
   "family": "guinier_intensity",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.655",
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    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "half_dmax_as_rg",
     "value": "0.252",
     "reason": "把最大尺寸的一半当作回转半径。",
     "is_correct": false,
     "absolute_error": "0.4031759973550693"
    },
    {
     "label": "B",
     "rule": "missing_one_third",
     "value": "0.281",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.3741759973550693"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.655",
     "reason": "等权 Rg = 9.3858 nm，qRg = 1.126 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0001759973550693"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.812",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.1568240026449307"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "first_order_expansion",
     "value": "0.577",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "linear_in_q",
     "value": "0.687",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.809",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.996",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 9.38584241011186,
    "q_per_nm": 0.12,
    "q_rg": 1.126301089213423,
    "dmax_nm": 33.871083546293576,
    "atoms": 2689,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 33.871083546293576,
    "reasoning_nm": 33.871083546293576,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/7ARQ-nucleotide-points.txt": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DEB-7ARQ-018",
   "family": "debye_intensity",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "0.418",
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    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.418",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 2689；qRg = 1.69。",
     "is_correct": true,
     "absolute_error": "0.0002388334592175"
    },
    {
     "label": "B",
     "rule": "sphere_radius_equals_rg",
     "value": "0.551",
     "reason": "把回转半径直接当作均匀球的半径（应为 √(5/3)·Rg），强度偏大。",
     "is_correct": false,
     "absolute_error": "0.1332388334592175"
    },
    {
     "label": "C",
     "rule": "guinier_single_axis_spread",
     "value": "0.626",
     "reason": "用 Guinier 近似，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.2082388334592175"
    },
    {
     "label": "D",
     "rule": "amplitude_not_intensity",
     "value": "0.646",
     "reason": "报告了平方根（振幅比）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.2282388334592175"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "without_self_terms",
     "value": "0.418",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_outside_range",
     "value": "0.386",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.358",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.331",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.002",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.991",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third",
     "value": "0.058",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.045",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "intensity_squared",
     "value": "0.175",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 2689,
    "q_per_nm": 0.18,
    "rg_nm": 9.38584241011186,
    "q_rg": 1.6894516338201346,
    "dmax_nm": 33.87108354629358,
    "probe_length_nm": 34.90658503988659,
    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
    "input_nm": 33.87108354629358,
    "reasoning_nm": 33.87108354629358,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/7ARQ-nucleotide-points.txt": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DEB-7ARQ-030",
   "family": "debye_intensity",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.137",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.000",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.13739547012023534"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.137",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 2689；qRg = 2.82。",
     "is_correct": true,
     "absolute_error": "0.00039547012023534"
    },
    {
     "label": "C",
     "rule": "guinier_single_axis_spread",
     "value": "0.272",
     "reason": "用 Guinier 近似，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.13460452987976466"
    },
    {
     "label": "D",
     "rule": "amplitude_not_intensity",
     "value": "0.371",
     "reason": "报告了平方根（振幅比）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.23360452987976466"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "without_self_terms",
     "value": "0.137",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_outside_range",
     "value": "0.071",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.029",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.031",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.002",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.974",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "intensity_squared",
     "value": "0.019",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.161",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 2689,
    "q_per_nm": 0.3,
    "rg_nm": 9.38584241011186,
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    "dmax_nm": 33.87108354629358,
    "probe_length_nm": 20.943951023931955,
    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-7ARQ-050",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.159",
    "unit": "nm^-1",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.025",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.1336070534551901"
    },
    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.089",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.0696070534551901"
    },
    {
     "label": "C",
     "rule": "uniform_sphere_root",
     "value": "0.150",
     "reason": "把颗粒当作 Rg 相同的均匀实心球求交点。",
     "is_correct": false,
     "absolute_error": "0.0086070534551901"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.159",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.0003929465448099"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.154",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.144",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "target_as_amplitude",
     "value": "0.236",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.107",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.016",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.085",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.193",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_root",
     "value": "0.219",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 2689,
    "target": 0.5,
    "q_star": 0.1586070534551901,
    "q_rg": 1.488660808862602,
    "rg_nm": 9.38584241011186,
    "dmax_nm": 33.87108354629358,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 33.87108354629358,
    "reasoning_nm": 33.87108354629358,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/7ARQ-nucleotide-points.txt": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-7ARQ-030",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": {
    "value": "0.217",
    "unit": "nm^-1",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.217",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.30 的 q。",
     "is_correct": true,
     "absolute_error": "0.00031041102492305"
    },
    {
     "label": "B",
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.250",
     "reason": "把回转半径直接当作均匀球的半径求交点（球偏小，q 偏大）。",
     "is_correct": false,
     "absolute_error": "0.03331041102492305"
    },
    {
     "label": "C",
     "rule": "guinier_single_axis_root",
     "value": "0.289",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.07231041102492305"
    },
    {
     "label": "D",
     "rule": "target_as_amplitude",
     "value": "0.344",
     "reason": "把目标值当作振幅比（强度的平方根）求交点。",
     "is_correct": false,
     "absolute_error": "0.12731041102492305"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.202",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.194",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.187",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_as_s",
     "value": "0.034",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.138",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.022",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third_root",
     "value": "0.117",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.112",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 2689,
    "target": 0.3,
    "q_star": 0.21668958897507695,
    "q_rg": 2.0338143340319843,
    "rg_nm": 9.38584241011186,
    "dmax_nm": 33.87108354629358,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 33.87108354629358,
    "reasoning_nm": 33.87108354629358,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/7ARQ-nucleotide-points.txt": "71f83b1113cd60a7bd076679b1cefcfd3678258ff40a115715078c4b93dded89"
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-7ARQ-SCAF-020",
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   "correct_label": "B",
   "numeric_answer": {
    "value": "0.262",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "uniform_sphere_root",
     "value": "0.224",
     "reason": "把颗粒当作 Rg 相同的均匀实心球求交点。",
     "is_correct": false,
     "absolute_error": "0.03845042870538315"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.262",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.20 的 q。",
     "is_correct": true,
     "absolute_error": "0.00045042870538315"
    },
    {
     "label": "C",
     "rule": "guinier_single_axis_root",
     "value": "0.341",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.07854957129461685"
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    {
     "label": "D",
     "rule": "target_as_amplitude",
     "value": "0.417",
     "reason": "把目标值当作振幅比（强度的平方根）求交点。",
     "is_correct": false,
     "absolute_error": "0.15454957129461685"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.238",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_orientation_root",
     "value": "0.218",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_as_s",
     "value": "0.042",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.165",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.026",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third_root",
     "value": "0.138",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.136",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.289",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 2,
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 1317,
    "target": 0.2,
    "q_star": 0.26245042870538315,
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    "rg_nm": 9.22315996138367,
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    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
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   "scales": {
    "input_nm": 33.87108354629358,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
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   "source": "https://www.rcsb.org/structure/7ARQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-DEB-6CGR",
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    "value": "0.257",
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    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.029",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.2275440071787292"
    },
    {
     "label": "B",
     "rule": "intensity_squared",
     "value": "0.066",
     "reason": "把算出的强度当成振幅又平方了一次（与“振幅当强度”方向相反的混淆）。",
     "is_correct": false,
     "absolute_error": "0.1905440071787292"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.257",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 960；qRg = 1.88。",
     "is_correct": true,
     "absolute_error": "0.0004559928212708"
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    {
     "label": "D",
     "rule": "guinier_outside_range",
     "value": "0.308",
     "reason": "在 qRg = 1.88 > 1.3 处仍用 Guinier 近似。",
     "is_correct": false,
     "absolute_error": "0.0514559928212708"
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   ],
   "excluded_candidates": [
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.272",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.257",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.256",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.267",
     "reason": "too close to the correct value"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.507",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.003",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.988",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.474",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_spread",
     "value": "0.675",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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   },
   "checks": {
    "points": 960,
    "q_per_nm": 0.035,
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    "dmax_nm": 113.69876316688763,
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    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
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   "scales": {
    "input_nm": 125.16983166166679,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
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   "source": "https://www.rcsb.org/structure/6CGR",
   "license": "wwPDB (CC0)",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-QDES-6CGR",
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   "ability": "design",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.0259",
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    "decimals": 4,
    "tolerance": "0.00005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.0041",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.021798346349785058"
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    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.0155",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.010398346349785058"
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    {
     "label": "C",
     "rule": "correct",
     "value": "0.0259",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.000001653650214942"
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    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.0465",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.020601653650214942"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.0268",
     "reason": "too close to the correct value"
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    {
     "rule": "uniform_sphere_root",
     "value": "0.0262",
     "reason": "too close to the correct value"
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    {
     "rule": "single_orientation_root",
     "value": "0.0259",
     "reason": "too close to the correct value"
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    {
     "rule": "guinier_half_dmax_root",
     "value": "0.0254",
     "reason": "too close to the correct value"
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    {
     "rule": "target_as_amplitude",
     "value": "0.0353",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.0319",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.0026",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.0338",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
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    "mirror_pair_cue": false
   },
   "checks": {
    "points": 960,
    "target": 0.5,
    "q_star": 0.025898346349785058,
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    "rg_nm": 53.73670080974997,
    "dmax_nm": 113.69876316688763,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 125.16983166166679,
    "reasoning_nm": 113.69876316688763,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/6CGR",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6CGR-chain-centroids.txt": "ac131b47d238f2caca8b7e49ecdfeca1dacb17fd05dd87909b6efc884c6aff33"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-SHELL-X",
   "family": "superlattice_shell",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "6 at 39.80 nm",
     "rule": "second_shell",
     "reason": "报告了第二壳层（常规晶胞边长处的 6 个）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "8 at 28.14 nm",
     "rule": "bcc_assumption",
     "reason": "误认作体心立方，按 8 个最近邻计。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "5 at 28.14 nm",
     "rule": "surface_particle",
     "reason": "数的是晶粒表面粒子的最近邻（表面缺配位）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "12 at 28.14 nm",
     "rule": "correct",
     "reason": "中心粒子的最近壳层：12 个，28.142850 nm（= a/√2）。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [
    {
     "rule": "third_shell",
     "value": "24 at 48.74 nm",
     "reason": "有效但未选（可信度排序）"
    },
    {
     "rule": "mixed_shells",
     "value": "6 at 28.14 nm",
     "reason": "有效但未选（可信度排序）"
    }
   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "particles": 177,
    "shells": [
     {
      "distance_nm": 28.14285,
      "count": 12
     },
     {
      "distance_nm": 39.8,
      "count": 6
     },
     {
      "distance_nm": 48.744846,
      "count": 24
     }
    ],
    "a_nm": 39.79999988206493,
    "table1": {
     "nearest_neighbor_nm": 28.1,
     "unit_cell_edge_nm": 39.8,
     "percent_gold": 3.74
    },
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型，不是实测粒子坐标。"
   },
   "scales": {
    "input_nm": 168.85710024502347,
    "reasoning_nm": 56.28570058218755,
    "reasoning_definition": "中心粒子与最近壳层的最大间距"
   },
   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/superlattices/Au-FCC-X-linker.xyz": "0d2075819cc569c0e2cf0653e179c606fdf0d227d8e85cc01b39c5b012c10748"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-EDGE-26",
   "family": "superlattice_metric",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "57.00",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "d111",
     "value": "32.91",
     "reason": "报告了密排面间距。",
     "is_correct": false,
     "absolute_error": "24.089999887486304"
    },
    {
     "label": "B",
     "rule": "nearest_neighbour",
     "value": "40.31",
     "reason": "把最近邻间距当作晶胞边长。",
     "is_correct": false,
     "absolute_error": "16.689999887486304"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "57.00",
     "reason": "由坐标得 FCC：最近邻 12 个 40.3051 nm，第二壳层 6 个 a = 57.0000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "1.12513696E-7"
    },
    {
     "label": "D",
     "rule": "third_shell_distance",
     "value": "69.81",
     "reason": "把第三近邻距离当作晶胞边长。",
     "is_correct": false,
     "absolute_error": "12.810000112513696"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "face_diagonal",
     "value": "80.61",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "body_diagonal",
     "value": "98.73",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d200",
     "value": "28.50",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "primitive_cell_root",
     "value": "35.91",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 40.305086280848165,
    "a_nm": 56.999999887486304,
    "table1": {
     "nearest_neighbor_nm": 40.3,
     "unit_cell_edge_nm": 57.0,
     "percent_gold": 1.27
    },
    "core_nm": null,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 241.83051993256018,
    "reasoning_nm": 56.999999887486304,
    "reasoning_definition": "晶格周期：常规晶胞边长 a"
   },
   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/superlattices/Au-FCC-26-linker.xyz": "152c15ea323565ed5bf2f7dc5af21fed31e7c13f95f5c5f9affa534772281ca5"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-EDGE-52",
   "family": "superlattice_metric",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "D",
   "numeric_answer": {
    "value": "76.60",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "d200",
     "value": "38.30",
     "reason": "报告了 (200) 面间距 a/2。",
     "is_correct": false,
     "absolute_error": "38.30000001617821"
    },
    {
     "label": "B",
     "rule": "d111",
     "value": "44.23",
     "reason": "报告了密排面间距。",
     "is_correct": false,
     "absolute_error": "32.37000001617821"
    },
    {
     "label": "C",
     "rule": "nearest_neighbour",
     "value": "54.16",
     "reason": "把最近邻间距当作晶胞边长。",
     "is_correct": false,
     "absolute_error": "22.44000001617821"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "76.60",
     "reason": "由坐标得 FCC：最近邻 12 个 54.1644 nm，第二壳层 6 个 a = 76.6000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "1.617821E-8"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "face_diagonal",
     "value": "108.33",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "body_diagonal",
     "value": "132.68",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "third_shell_distance",
     "value": "93.82",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "primitive_cell_root",
     "value": "48.25",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 54.1643792451307,
    "a_nm": 76.60000001617821,
    "table1": {
     "nearest_neighbor_nm": 54.2,
     "unit_cell_edge_nm": 76.6,
     "percent_gold": 0.52
    },
    "core_nm": null,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 324.9862778007196,
    "reasoning_nm": 76.60000001617821,
    "reasoning_definition": "晶格周期：常规晶胞边长 a"
   },
   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/superlattices/Au-FCC-52-linker.xyz": "462e8a006f094ce3fab88c2ab26263aed5865d0ff90410e1c1c343f30da059b1"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-D111-39",
   "family": "superlattice_metric",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "38.97",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "38.97",
     "reason": "由坐标得 FCC：最近邻 12 个 47.7297 nm，第二壳层 6 个 a = 67.5000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "0.00114313691742"
    },
    {
     "label": "B",
     "rule": "in_layer_row_spacing",
     "value": "41.34",
     "reason": "算成密排层内相邻原子行的间距。",
     "is_correct": false,
     "absolute_error": "2.36885686308258"
    },
    {
     "label": "C",
     "rule": "nearest_neighbour",
     "value": "47.73",
     "reason": "把最近邻间距当作面间距。",
     "is_correct": false,
     "absolute_error": "8.75885686308258"
    },
    {
     "label": "D",
     "rule": "cell_edge",
     "value": "67.50",
     "reason": "报告了晶胞边长而非面间距。",
     "is_correct": false,
     "absolute_error": "28.52885686308258"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "d200",
     "value": "33.75",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d220",
     "value": "23.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "half_nearest_neighbour",
     "value": "23.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 47.729707711068784,
    "a_nm": 67.49999994218012,
    "table1": {
     "nearest_neighbor_nm": 47.7,
     "unit_cell_edge_nm": 67.5,
     "percent_gold": 0.77
    },
    "core_nm": null,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 286.37824749706704,
    "reasoning_nm": 67.49999994218012,
    "reasoning_definition": "晶格周期：常规晶胞边长 a"
   },
   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-QSTAR-X",
   "family": "superlattice_saxs",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.2734",
    "unit": "nm^-1",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "q_100_forbidden",
     "value": "0.1579",
     "reason": "用 (100)，而 FCC 中 (100) 消光。",
     "is_correct": false,
     "absolute_error": "0.11553709089580726"
    },
    {
     "label": "B",
     "rule": "q_from_nearest_neighbour",
     "value": "0.2233",
     "reason": "把最近邻间距当作面间距。",
     "is_correct": false,
     "absolute_error": "0.05013709089580726"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.2734",
     "reason": "由坐标得 FCC：最近邻 12 个 28.1428 nm，第二壳层 6 个 a = 39.8000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "0.00003709089580726"
    },
    {
     "label": "D",
     "rule": "q_200",
     "value": "0.3157",
     "reason": "报告了第二个反射 (200)。",
     "is_correct": false,
     "absolute_error": "0.04226290910419274"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "missing_two_pi",
     "value": "0.0435",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "per_angstrom",
     "value": "0.0273",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "body_diagonal_spacing",
     "value": "0.0911",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 28.142849976209575,
    "a_nm": 39.79999988206493,
    "table1": {
     "nearest_neighbor_nm": 28.1,
     "unit_cell_edge_nm": 39.8,
     "percent_gold": 3.74
    },
    "core_nm": null,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 168.85710024502347,
    "reasoning_nm": 39.79999988206493,
    "reasoning_definition": "晶格周期：常规晶胞边长 a"
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   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/superlattices/Au-FCC-X-linker.xyz": "0d2075819cc569c0e2cf0653e179c606fdf0d227d8e85cc01b39c5b012c10748"
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   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-Q200-13",
   "family": "superlattice_saxs",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.2738",
    "unit": "nm^-1",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_two_pi",
     "value": "0.0436",
     "reason": "漏掉 2π。",
     "is_correct": false,
     "absolute_error": "0.23017713769368356"
    },
    {
     "label": "B",
     "rule": "q_100_forbidden",
     "value": "0.1369",
     "reason": "把消光的 (100) 当作反射。",
     "is_correct": false,
     "absolute_error": "0.13687713769368356"
    },
    {
     "label": "C",
     "rule": "q_111_first_peak",
     "value": "0.2371",
     "reason": "报告了第一个反射 (111)。",
     "is_correct": false,
     "absolute_error": "0.03667713769368356"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.2738",
     "reason": "由坐标得 FCC：最近邻 12 个 32.4562 nm，第二壳层 6 个 a = 45.9000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "0.00002286230631644"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "q_220",
     "value": "0.3872",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_from_nearest_neighbour",
     "value": "0.1936",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "per_angstrom",
     "value": "0.0274",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 32.4562011921139,
    "a_nm": 45.899999978884644,
    "table1": {
     "nearest_neighbor_nm": 32.4,
     "unit_cell_edge_nm": 45.9,
     "percent_gold": 2.44
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    "core_nm": null,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 194.7372083132518,
    "reasoning_nm": 45.899999978884644,
    "reasoning_definition": "晶格周期：常规晶胞边长 a"
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   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/superlattices/Au-FCC-13-linker.xyz": "88895b5c511764dde4853b0f61669b5329980d5f7bf84995c361f1ab22bd1d67"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-GOLD-52",
   "family": "superlattice_saxs",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "0.509",
    "unit": "%",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.509",
     "reason": "由坐标得 FCC：最近邻 12 个 54.1644 nm，第二壳层 6 个 a = 76.6000 nm；按定义计算。",
     "is_correct": true,
     "absolute_error": "0.0001948219011239"
    },
    {
     "label": "B",
     "rule": "nearest_neighbour_as_cell_edge",
     "value": "1.440",
     "reason": "用最近邻间距当作常规晶胞边长（仍按每胞 4 个粒子）。",
     "is_correct": false,
     "absolute_error": "0.9308051780988761"
    },
    {
     "label": "C",
     "rule": "four_per_primitive_cell",
     "value": "2.037",
     "reason": "用初基胞体积 a³/4，却仍按 4 个粒子计。",
     "is_correct": false,
     "absolute_error": "1.5278051780988761"
    },
    {
     "label": "D",
     "rule": "diameter_as_radius",
     "value": "4.074",
     "reason": "把直径当半径代入球体积。",
     "is_correct": false,
     "absolute_error": "3.5648051780988761"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "one_particle_per_cell",
     "value": "0.127",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_particles_per_cell",
     "value": "0.255",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "nearest_neighbour_cube",
     "value": "0.360",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "fraction_not_percent",
     "value": "0.005",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
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   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "particles": 177,
    "nn_nm": 54.1643792451307,
    "a_nm": 76.60000001617821,
    "table1": {
     "nearest_neighbor_nm": 54.2,
     "unit_cell_edge_nm": 76.6,
     "percent_gold": 0.52
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    "core_nm": 10.3,
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。"
   },
   "scales": {
    "input_nm": 324.9862778007196,
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    "reasoning_definition": "晶格周期：常规晶胞边长 a"
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   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-SL-DES-QSTAR",
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   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "13-linker (Au-FCC-13-linker.xyz)",
     "rule": "q_from_nearest_neighbour",
     "reason": "把最近邻间距当作面间距（q = 2π/D）时它最接近目标。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "26-linker (Au-FCC-26-linker.xyz)",
     "rule": "correct",
     "reason": "q* = 2π√3/a = 0.1909 nm⁻¹，最接近目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "39-linker (Au-FCC-39-linker.xyz)",
     "rule": "q_200_as_first",
     "reason": "把 (200) 当作首峰（q = 4π/a）时它最接近目标。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "52-linker (Au-FCC-52-linker.xyz)",
     "rule": "farther_from_target",
     "reason": "按正确定义离目标更远（q* = 0.1421）。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "linker": "13-linker",
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     {
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     {
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     {
      "linker": "52-linker",
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      "a": 76.60000001617821,
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    ],
    "goal": "q_star",
    "target": 0.19,
    "design_note": "设计选择：四个候选均为论文中实际做出的连接子，性质由模型坐标计算。",
    "limits": "按论文 SAXS 晶胞参数构建的理想 FCC 模型。"
   },
   "scales": {
    "input_nm": 324.9862778007196,
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    "reasoning_definition": "晶格周期：候选中最大的常规晶胞边长 a"
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   "source": "Hill, Macfarlane, Senesi, Lee, Park, Mirkin, Nano Lett. 8, 2341 (2008), Table 1, https://doi.org/10.1021/nl8011787 ; open author manuscript https://pmc.ncbi.nlm.nih.gov/articles/PMC8191496/",
   "license": "参数为事实数据；未转载论文文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SL-DES-NN",
   "family": "superlattice_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "13-linker (Au-FCC-13-linker.xyz)",
     "rule": "cell_edge_as_spacing",
     "reason": "把常规晶胞边长当作最近邻间距时它最接近目标。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "52-linker (Au-FCC-52-linker.xyz)",
     "rule": "plane_spacing_as_spacing",
     "reason": "把密排面间距当作粒子间距时它最接近目标。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "39-linker (Au-FCC-39-linker.xyz)",
     "rule": "correct",
     "reason": "最近邻 47.7297 nm，最接近目标。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "26-linker (Au-FCC-26-linker.xyz)",
     "rule": "farther_from_target",
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     "label": "B",
     "rule": "half_cell_edge",
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     "label": "C",
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     "label": "D",
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     "rule": "nearest_neighbour",
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     "reason": "把最近邻间距当作面间距。",
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     "label": "D",
     "rule": "cell_edge",
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     "rule": "sphere_index",
     "value": "583.6",
     "reason": "用球的折射率代替有效折射率。",
     "is_correct": false,
     "absolute_error": "23.2217034521193"
    },
    {
     "label": "C",
     "rule": "diameter_as_spacing",
     "value": "686.3",
     "reason": "把球径当作密排面间距。",
     "is_correct": false,
     "absolute_error": "125.9217034521193"
    },
    {
     "label": "D",
     "rule": "cell_edge_as_spacing",
     "value": "970.6",
     "reason": "把常规晶胞边长当作面间距。",
     "is_correct": false,
     "absolute_error": "410.2217034521193"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "linear_index_average",
     "value": "558.8",
     "reason": "too close to the correct value"
    },
    {
     "rule": "no_factor_two",
     "value": "280.2",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d200_planes",
     "value": "485.3",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "no_index",
     "value": "367.0",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "voids_as_air",
     "value": "535.9",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "wrong_fill_fraction",
     "value": "538.0",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
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   "rank_shortcuts": {
    "always_smallest": true,
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    "mirror_pair_cue": false
   },
   "checks": {
    "spheres": 177,
    "d111_nm": 183.51577147157172,
    "n_eff": 1.5267851151275258,
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    "sample": "S7",
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   },
   "scales": {
    "input_nm": 1348.5600006991228,
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   "source": "Gazmeh et al., Sci. Rep. 15, 38349 (2025), Table 3, https://doi.org/10.1038/s41598-025-22161-5 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC12583473/",
   "license": "论文 CC BY-NC-ND 4.0；只使用数值（事实数据），未转载文字或图",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-OP-PEAK-SIO2-30",
   "family": "opal_bragg",
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   "correct_label": "B",
   "numeric_answer": {
    "value": "544.7",
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    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "no_refraction",
     "value": "507.8",
     "reason": "用 2 d n cosθ，忽略了入射光在薄膜表面的折射（应为 √(n²−sin²θ)）。",
     "is_correct": false,
     "absolute_error": "36.9049596539517"
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    {
     "label": "B",
     "rule": "correct",
     "value": "544.7",
     "reason": "λ = 2 d111 √(n_eff² − sin²θ)，d111 = 217.1881 nm，n_eff = 1.35000。",
     "is_correct": true,
     "absolute_error": "0.0049596539517"
    },
    {
     "label": "C",
     "rule": "ignore_angle",
     "value": "586.4",
     "reason": "忽略入射角，按正入射计算。",
     "is_correct": false,
     "absolute_error": "41.6950403460483"
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    {
     "label": "D",
     "rule": "diameter_as_spacing",
     "value": "667.1",
     "reason": "把球径当作密排面间距。",
     "is_correct": false,
     "absolute_error": "122.3950403460483"
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   ],
   "excluded_candidates": [
    {
     "rule": "no_factor_two",
     "value": "272.4",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d200_planes",
     "value": "471.7",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "cell_edge_as_spacing",
     "value": "943.5",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "angle_from_surface",
     "value": "449.8",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sin_not_squared",
     "value": "499.5",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
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   "checks": {
    "spheres": 177,
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    "n_eff": 1.35,
    "theta_deg": 30,
    "fill_fraction": 0.7404804896930609,
    "sample": "266 nm",
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  {
   "id": "FA-OP-ANGLE-SIO2",
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   "correct_label": "C",
   "numeric_answer": {
    "value": "44.9",
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    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "sin_not_squared",
     "value": "29.8",
     "reason": "解出 sinθ 时未开方。",
     "is_correct": false,
     "absolute_error": "15.0581365060905"
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    {
     "label": "B",
     "rule": "no_refraction",
     "value": "31.5",
     "reason": "用 λ = 2 d n cosθ 反解，忽略折射。",
     "is_correct": false,
     "absolute_error": "13.3581365060905"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "44.9",
     "reason": "sin²θ = n_eff² − (λ/2d111)²，d111 = 217.1881 nm，n_eff = 1.350。",
     "is_correct": true,
     "absolute_error": "0.0418634939095"
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    {
     "label": "D",
     "rule": "diameter_as_spacing",
     "value": "75.7",
     "reason": "把球径当作密排面间距。",
     "is_correct": false,
     "absolute_error": "30.8418634939095"
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   ],
   "excluded_candidates": [
    {
     "rule": "from_surface",
     "value": "45.1",
     "reason": "too close to the correct value"
    },
    {
     "rule": "refraction_angle_inside",
     "value": "31.5",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
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   "rank_shortcuts": {
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    "mirror_pair_cue": false
   },
   "checks": {
    "spheres": 177,
    "d111_nm": 217.188090430985,
    "n_eff": 1.35,
    "theta_deg": 0,
    "fill_fraction": 0.7404804896930609,
    "sample": "266 nm",
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    "limits": "理想 FCC 接触球与有效介质近似；实测峰受尺寸分布、缺陷与多面衍射影响，审核侧附实测值供比较。"
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   "scales": {
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   "source": "Fookes, Polo Parada, Fidalgo, Sensors 23, 1433 (2023), parameter table, https://doi.org/10.3390/s23031433 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC9920682/",
   "license": "论文 CC BY 4.0；只使用数值",
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-OP-DES-540",
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   "option_audit": [
    {
     "label": "A",
     "value": "S8 (opal-PS-S8.xyz)",
     "rule": "diameter_as_spacing",
     "reason": "把球径当作密排面间距时它的反射（609.8 nm）最接近目标。",
     "is_correct": false
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    {
     "label": "B",
     "value": "S5 (opal-PS-S5.xyz)",
     "rule": "no_index",
     "reason": "忽略折射率时它的反射（422.3 nm）最接近目标。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "S6 (opal-PS-S6.xyz)",
     "rule": "farther_from_target",
     "reason": "正确模型下反射在 593.9 nm，离目标更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "S7 (opal-PS-S7.xyz)",
     "rule": "correct",
     "reason": "正确模型下反射在 535.9 nm，最接近目标。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "sample": "S5",
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     {
      "sample": "S6",
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     {
      "sample": "S7",
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     {
      "sample": "S8",
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      "a": 295.3585026071766,
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    ],
    "goal": "closest",
    "target_nm": 540,
    "measured_peaks_nm": {
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     "S7": 532.0,
     "S8": 492.0
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    "design_note": "设计选择：四个候选均为论文实际合成的样品，性质由模型坐标计算。",
    "limits": "理想 FCC 接触球与有效介质近似。"
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   "scales": {
    "input_nm": 1551.7200007649567,
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    "reasoning_definition": "晶格周期：候选中最大的常规晶胞边长 a"
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   "source": "Gazmeh et al., Sci. Rep. 15, 38349 (2025), Table 3, https://doi.org/10.1038/s41598-025-22161-5 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC12583473/",
   "license": "论文 CC BY-NC-ND 4.0；只使用数值（事实数据），未转载文字或图",
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  {
   "id": "FA-OP-DES-820",
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   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "S3 (opal-PS-S3.xyz)",
     "rule": "correct",
     "reason": "正确模型下反射在 815.0 nm，最接近目标。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "S4 (opal-PS-S4.xyz)",
     "rule": "sphere_index",
     "reason": "用球的折射率代替有效折射率时它的反射（849.0 nm）最接近目标。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "S2 (opal-PS-S2.xyz)",
     "rule": "no_index",
     "reason": "忽略折射率时它的反射（603.2 nm）最接近目标。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "S5 (opal-PS-S5.xyz)",
     "rule": "diameter_as_spacing",
     "reason": "把球径当作密排面间距时它的反射（755.2 nm）最接近目标。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
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   "checks": {
    "candidates": [
     {
      "sample": "S2",
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     {
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     {
      "sample": "S4",
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     {
      "sample": "S5",
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      "a": 365.74391142211806,
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    ],
    "goal": "closest",
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    "design_note": "设计选择：四个候选均为论文实际合成的样品，性质由模型坐标计算。",
    "limits": "理想 FCC 接触球与有效介质近似。"
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   "scales": {
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    "reasoning_definition": "晶格周期：候选中最大的常规晶胞边长 a"
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   "source": "Gazmeh et al., Sci. Rep. 15, 38349 (2025), Table 3, https://doi.org/10.1038/s41598-025-22161-5 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC12583473/",
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  {
   "id": "FA-OP-DES-BELOW700",
   "family": "opal_design",
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   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "S4 (opal-PS-S4.xyz)",
     "rule": "passes_if_no_index",
     "reason": "反射在 779.5 nm，超出上限；若忽略折射率会误判为满足。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "S5 (opal-PS-S5.xyz)",
     "rule": "correct",
     "reason": "满足上限的样品中球径最大（258.62 nm，反射 616.6 nm）。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "S6 (opal-PS-S6.xyz)",
     "rule": "satisfies_but_smaller",
     "reason": "反射在 593.9 nm 满足上限，但球径 249.11 nm 不是最大。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "S7 (opal-PS-S7.xyz)",
     "rule": "satisfies_but_smaller",
     "reason": "反射在 535.9 nm 满足上限，但球径 224.76 nm 不是最大。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "sample": "S4",
      "D": 326.96999995534793,
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     {
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     {
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     {
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      "a": 317.8586401789613,
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    ],
    "goal": "below",
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    "measured_peaks_nm": {
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     "S7": 532.0
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    "design_note": "设计选择：四个候选均为论文实际合成的样品，性质由模型坐标计算。",
    "limits": "理想 FCC 接触球与有效介质近似。"
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   "scales": {
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    "reasoning_definition": "晶格周期：候选中最大的常规晶胞边长 a"
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   "source": "Gazmeh et al., Sci. Rep. 15, 38349 (2025), Table 3, https://doi.org/10.1038/s41598-025-22161-5 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC12583473/",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  },
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     "label": "A",
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    {
     "label": "B",
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     "label": "C",
     "rule": "second_neighbour",
     "value": "30.90",
     "reason": "报告了次近邻 AA 距离 √3λ。",
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    {
     "label": "B",
     "rule": "correct",
     "value": "156.1",
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    {
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     "rule": "square_cell",
     "value": "180.2",
     "reason": "按正方形晶胞 λ² 计算。",
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     "label": "D",
     "rule": "hexagon_twice",
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     "rule": "triangle_only",
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    {
     "rule": "circle_of_half_period",
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     "reason": "报告了 AA 到 AB 区中心的距离 λ/√3。",
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    {
     "label": "B",
     "rule": "row_spacing",
     "value": "11.30",
     "reason": "报告了相邻 AA 行的间距 (√3/2)λ。",
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     "absolute_error": "1.750898558741025"
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     "label": "C",
     "rule": "correct",
     "value": "13.05",
     "reason": "θ = 1.08°，λ = a/(2 sin(θ/2)) = 13.0509 nm，A = (√3/2)λ²，n_s = 4/A。",
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     "rule": "second_neighbour",
     "value": "22.60",
     "reason": "报告了次近邻 AA 距离 √3λ。",
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    {
     "rule": "double_period",
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   ],
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     "rule": "angle_of_one_layer",
     "value": "25.63",
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     "label": "D",
     "rule": "full_filling",
     "value": "1.451",
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   ],
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   "id": "FA-MO-TWIST-D1",
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   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "1.080",
    "unit": "degree",
    "decimals": 3,
    "tolerance": "0.0005"
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    {
     "label": "A",
     "rule": "radians_as_degrees",
     "value": "0.019",
     "reason": "以弧度数值当作度报告。",
     "is_correct": false,
     "absolute_error": "1.061"
    },
    {
     "label": "B",
     "rule": "half_angle",
     "value": "0.540",
     "reason": "漏掉 θ = 2 arcsin(…) 的因子 2。",
     "is_correct": false,
     "absolute_error": "0.540"
    },
    {
     "label": "C",
     "rule": "bond_length_as_lattice_constant",
     "value": "0.624",
     "reason": "把 C–C 键长当作晶格常数。",
     "is_correct": false,
     "absolute_error": "0.456"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "1.080",
     "reason": "θ = 1.08°，λ = a/(2 sin(θ/2)) = 13.0509 nm，A = (√3/2)λ²，n_s = 4/A。",
     "is_correct": true,
     "absolute_error": "0.000"
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   ],
   "excluded_candidates": [
    {
     "rule": "ab_distance_as_period",
     "value": "1.871",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "double_angle",
     "value": "2.160",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
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   "checks": {
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    "limits": "刚性转角模型（无晶格弛豫、无异质应变）；实测样品常有少量应变，使莫尔周期偏离理想值。"
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   "scales": {
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    "reasoning_definition": "莫尔周期 λ"
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   "source": "Cao et al., arXiv:1803.02342 (Nature 556, 43 (2018)): device twist angles M1 1.16°, M2 1.05°, D1 1.08°; n_s = 4/A, a = 0.246 nm. https://arxiv.org/abs/1803.02342",
   "license": "只使用论文报道的转角数值（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  {
   "id": "FA-MO-DES-HALF",
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    {
     "label": "A",
     "value": "D1 (TBG-D1-AA-map.txt)",
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     "reason": "正确计算为 1.356，离目标更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "K110 (TBG-K110-AA-map.txt)",
     "rule": "farther_from_target",
     "reason": "正确计算为 1.407，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "M1 (TBG-M1-AA-map.txt)",
     "rule": "no_degeneracy",
     "reason": "漏掉自旋×谷简并时它最接近目标（0.782）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "M2 (TBG-M2-AA-map.txt)",
     "rule": "correct",
     "reason": "正确计算为 1.282，最接近目标。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "sample": "M2",
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      "sample": "D1",
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     {
      "sample": "K110",
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     {
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    "design_note": "设计选择：候选均为论文中的实际样品（转角为报道值），性质由模型坐标计算。",
    "limits": "刚性转角模型（无晶格弛豫、无异质应变）。"
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   "scales": {
    "input_nm": 90.0,
    "reasoning_nm": 13.42377040589903,
    "reasoning_definition": "候选中最大的莫尔周期 λ"
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   "source": "Cao et al., arXiv:1803.02342 (Nature 556, 43 (2018)): device twist angles M1 1.16°, M2 1.05°, D1 1.08°; n_s = 4/A, a = 0.246 nm. https://arxiv.org/abs/1803.02342 ; Kerelsky et al., arXiv:1812.08776 (Nature 572, 95 (2019)): STM regions at 1.10° and 0.79°; λ = a/(2 sin(θ/2)). https://arxiv.org/abs/1812.08776",
   "license": "只使用论文报道的转角数值（事实数据），未转载文字或图",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  {
   "id": "FA-MO-DES-PERIOD",
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   "option_audit": [
    {
     "label": "A",
     "value": "M2 (TBG-M2-AA-map.txt)",
     "rule": "correct",
     "reason": "正确计算为 13.424，最接近目标。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "D1 (TBG-D1-AA-map.txt)",
     "rule": "farther_from_target",
     "reason": "正确计算为 13.051，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "M1 (TBG-M1-AA-map.txt)",
     "rule": "second_neighbour",
     "reason": "把次近邻 AA 距离当作周期时它最接近目标（21.046）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "K079 (TBG-K079-AA-map.txt)",
     "rule": "aa_to_ab_distance",
     "reason": "把 AA–AB 距离当作周期时它最接近目标（10.301）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "sample": "K079",
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     {
      "sample": "M2",
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     {
      "sample": "D1",
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     {
      "sample": "M1",
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      "period_nm": 12.150863945910293,
      "value": 12.150863945910293
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    ],
    "goal": "period",
    "target": 13.5,
    "design_note": "设计选择：候选均为论文中的实际样品（转角为报道值），性质由模型坐标计算。",
    "limits": "刚性转角模型（无晶格弛豫、无异质应变）。"
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   "scales": {
    "input_nm": 90.0,
    "reasoning_nm": 17.84161173779692,
    "reasoning_definition": "候选中最大的莫尔周期 λ"
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   "source": "Cao et al., arXiv:1803.02342 (Nature 556, 43 (2018)): device twist angles M1 1.16°, M2 1.05°, D1 1.08°; n_s = 4/A, a = 0.246 nm. https://arxiv.org/abs/1803.02342 ; Kerelsky et al., arXiv:1812.08776 (Nature 572, 95 (2019)): STM regions at 1.10° and 0.79°; λ = a/(2 sin(θ/2)). https://arxiv.org/abs/1812.08776",
   "license": "只使用论文报道的转角数值（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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    "assets/families/moire/TBG-M2-AA-map.txt": "e99595faf42309b4475402cbb367e78af98f499be373fa3f8368e4565b79c7c3",
    "assets/families/moire/TBG-D1-AA-map.txt": "5abfe1b2f1d9f1c34c1556a257dc1c21011dabcc0192903efe86c6e9b5c844c0",
    "assets/families/moire/TBG-M1-AA-map.txt": "765ad424554cb23a0c6de2767055f33f0ebf8639d64d65779f24461d5f6cf33b"
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-MO-DES-FULL",
   "family": "moire_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "M1 (TBG-M1-AA-map.txt)",
     "rule": "no_degeneracy",
     "reason": "漏掉自旋×谷简并时它最接近目标（0.782）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "K110 (TBG-K110-AA-map.txt)",
     "rule": "correct",
     "reason": "正确计算为 2.813，最接近目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "K079 (TBG-K079-AA-map.txt)",
     "rule": "farther_from_target",
     "reason": "正确计算为 1.451，离目标更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "D1 (TBG-D1-AA-map.txt)",
     "rule": "farther_from_target",
     "reason": "正确计算为 2.712，离目标更远。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "sample": "K079",
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     {
      "sample": "D1",
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     {
      "sample": "K110",
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     {
      "sample": "M1",
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      "period_nm": 12.150863945910293,
      "value": 3.128347893030179
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    ],
    "goal": "full",
    "target": 2.8,
    "design_note": "设计选择：候选均为论文中的实际样品（转角为报道值），性质由模型坐标计算。",
    "limits": "刚性转角模型（无晶格弛豫、无异质应变）。"
   },
   "scales": {
    "input_nm": 90.0,
    "reasoning_nm": 17.84161173779692,
    "reasoning_definition": "候选中最大的莫尔周期 λ"
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   "source": "Cao et al., arXiv:1803.02342 (Nature 556, 43 (2018)): device twist angles M1 1.16°, M2 1.05°, D1 1.08°; n_s = 4/A, a = 0.246 nm. https://arxiv.org/abs/1803.02342 ; Kerelsky et al., arXiv:1812.08776 (Nature 572, 95 (2019)): STM regions at 1.10° and 0.79°; λ = a/(2 sin(θ/2)). https://arxiv.org/abs/1812.08776",
   "license": "只使用论文报道的转角数值（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
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  },
  {
   "id": "FA-ASM-EXT-6NCL",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "172.64",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "172.64",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.0041469206819"
    },
    {
     "label": "B",
     "rule": "wrong_selection",
     "value": "174.36",
     "reason": "用了全部组分的点，而题目只问指定组分。",
     "is_correct": false,
     "absolute_error": "1.7158530793181"
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    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "200.11",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "27.4658530793181"
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    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "279.00",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "106.3558530793181"
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   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "172.65",
     "reason": "too close to the correct value"
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    {
     "rule": "largest_axis_span",
     "value": "172.38",
     "reason": "too close to the correct value"
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    {
     "rule": "mean_radius",
     "value": "77.45",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "86.32",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "sphere_radius_from_rg",
     "value": "100.05",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "two_rg",
     "value": "155.00",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "single_axis_rms",
     "value": "44.74",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "66.86",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": true,
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    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 5040,
    "component": "Vp54",
    "value_nm": 172.6441469206819,
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    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
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    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
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   "source": "https://www.rcsb.org/structure/6NCL",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
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  },
  {
   "id": "FA-ASM-T-6NCL",
   "family": "capsid_architecture",
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   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "169",
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    "decimals": 0,
    "tolerance": "0.4"
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   "option_audit": [
    {
     "label": "A",
     "rule": "trimers_as_60T",
     "value": "28",
     "reason": "把三聚体数当作 60T 个亚基。",
     "is_correct": false,
     "absolute_error": "141"
    },
    {
     "label": "B",
     "rule": "monomer_60T_rule",
     "value": "84",
     "reason": "按单体外壳 N = 60T 计算（忽略三聚体壳粒）。",
     "is_correct": false,
     "absolute_error": "85"
    },
    {
     "label": "C",
     "rule": "forgot_pentons",
     "value": "168",
     "reason": "漏掉 +1：三聚体壳粒只占 10(T−1)，五邻体另由其他蛋白构成。",
     "is_correct": false,
     "absolute_error": "1"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "169",
     "reason": "N = 5040 个 Vp54，三聚体壳粒 N/3 = 10(T−1)，T = N/30 + 1 = 169。",
     "is_correct": true,
     "absolute_error": "0"
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   ],
   "excluded_candidates": [
    {
     "rule": "hexamer_rule",
     "value": "85",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "neighbouring_allowed_T_171",
     "value": "171",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "neighbouring_allowed_T_172",
     "value": "172",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   },
   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 5040,
    "T": 169,
    "component": "Vp54",
    "relation": "trimeric capsomers: N = 3 × 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；五邻体蛋白不计入 N。"
   },
   "scales": {
    "input_nm": 174.35827269989227,
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    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
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   "source": "https://www.rcsb.org/structure/6NCL",
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   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6NCL-chain-centroids.txt": "c6d287cb481dedef6b45a18df13b34af9cec25669a44157c445959a58ed42be5"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-6NCL",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.0180",
    "unit": "nm^-1",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.0029",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.015060361246850777"
    },
    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.0107",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.007260361246850777"
    },
    {
     "label": "C",
     "rule": "guinier_half_dmax_root",
     "value": "0.0167",
     "reason": "用 Guinier 近似求 q，并把最大尺寸的一半当作回转半径。",
     "is_correct": false,
     "absolute_error": "0.001260361246850777"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.0180",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.000039638753149223"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.0186",
     "reason": "too close to the correct value"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.0181",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.0180",
     "reason": "too close to the correct value"
    },
    {
     "rule": "target_as_amplitude",
     "value": "0.0245",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.0210",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.0018",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.0234",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_root",
     "value": "0.0322",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 5040,
    "target": 0.5,
    "q_star": 0.017960361246850777,
    "q_rg": 1.3919387577278701,
    "rg_nm": 77.5005991581565,
    "dmax_nm": 172.6441469206819,
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    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 174.35827269989227,
    "reasoning_nm": 172.6441469206819,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/6NCL",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/6NCL-chain-centroids.txt": "c6d287cb481dedef6b45a18df13b34af9cec25669a44157c445959a58ed42be5"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SS-1UBQ-43",
   "family": "secondary_structure",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "right-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 183°，明显更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "left-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 181°，明显更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "β-strand",
     "rule": "correct",
     "reason": "φ = -103.6°，ψ = 130.2°，最近参考构象（16°）；与条目 SHEET 记录一致。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "polyproline II",
     "rule": "second_nearest_reference",
     "reason": "次近的参考构象（距离 32°，正确者 16°）；两者易混。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "phi_deg": -103.5581445004675,
    "psi_deg": 130.24087804410922,
    "nearest_distance_deg": 16.443619872146183,
    "second_distance_deg": 32.14652855626,
    "evidence_records": [
     "SHEET    4 BET 5 GLN A  40  PHE A  45 -1"
    ],
    "residue": "Leu43",
    "limits": "参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。"
   },
   "scales": {
    "input_nm": 1.1741061280821252,
    "reasoning_nm": 0.4126635554540769,
    "reasoning_definition": "定义 φ 与 ψ 的五个主链原子的最大间距（局部）"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SS-6LYZ-90",
   "family": "secondary_structure",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "β-strand",
     "rule": "other_reference",
     "reason": "距离 177°，明显更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "polyproline II",
     "rule": "other_reference",
     "reason": "距离 178°，明显更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "left-handed α-helix",
     "rule": "second_nearest_reference",
     "reason": "次近的参考构象（距离 146°，正确者 11°）；两者易混。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "right-handed α-helix",
     "rule": "correct",
     "reason": "φ = -62.7°，ψ = -37.1°，最近参考构象（11°）；与条目 HELIX 记录一致。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "phi_deg": -62.69998414778826,
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    "nearest_distance_deg": 11.409677930812451,
    "second_distance_deg": 146.2997236770888,
    "evidence_records": [
     "HELIX    4   D THR A   89  LYS A   96  1                                   8"
    ],
    "residue": "Ala90",
    "limits": "参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。"
   },
   "scales": {
    "input_nm": 0.9135981063903319,
    "reasoning_nm": 0.32836601529390946,
    "reasoning_definition": "定义 φ 与 ψ 的五个主链原子的最大间距（局部）"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-SS-1CRN-34",
   "family": "secondary_structure",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "β-strand",
     "rule": "correct",
     "reason": "φ = -111.6°，ψ = 129.6°，最近参考构象（8°）；与条目 SHEET 记录一致。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "polyproline II",
     "rule": "second_nearest_reference",
     "reason": "次近的参考构象（距离 40°，正确者 8°）；两者易混。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "right-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 185°，明显更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "left-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 188°，明显更远。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "phi_deg": -111.5631605009207,
    "psi_deg": 129.5883632802384,
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    "second_distance_deg": 39.678498613203494,
    "evidence_records": [
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    "residue": "Ile34",
    "limits": "参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。"
   },
   "scales": {
    "input_nm": 1.0319578189054046,
    "reasoning_nm": 0.41405523786084386,
    "reasoning_definition": "定义 φ 与 ψ 的五个主链原子的最大间距（局部）"
   },
   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1CRN.pdb": "42199a30a0701864a2a5cc76cd7f35cc544cd0e65fbcf63e03c166543249b811"
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HG-EV1",
   "family": "binding_evidence_choice",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G7: cyclohexylammonium (WP6-G7.xyz)",
     "rule": "weaker_binder",
     "reason": "实测 ΔG = -6.97 kcal/mol，比最强弱 3.87。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "G1: cyclododecylammonium (WP6-G1.xyz)",
     "rule": "weaker_binder",
     "reason": "实测 ΔG = -6.43 kcal/mol，比最强弱 4.41。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "G12: trimethyl-[6-(trimethylammonio)-2-adamantyl]ammonium (WP6-G12.xyz)",
     "rule": "correct",
     "reason": "实测 ΔG = -10.84 ± 0.03 kcal/mol，最负；领先 2.85。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)",
     "rule": "next_strongest",
     "reason": "实测 ΔG = -7.99 kcal/mol，次强，比最强弱 2.85。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "measured_DG": {
     "G12": -10.84,
     "G6": -7.99,
     "G7": -6.97,
     "G1": -6.43
    },
    "margin_kcal_mol": 2.8499999999999996,
    "policy_margin": 0.8,
    "evidence_source": "https://github.com/samplchallenges/SAMPL9/blob/main/experimental_data/experimental_measurements.csv",
    "conditions": "ITC, 1x PBS (137 mM NaCl, 2.7 mM KCl, 10 mM phosphate), pH 7.40, 298.15 K; all complexes 1:1 (host_guest/WP6/README.md)",
    "limits": "答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 1.8273362306920968,
    "reasoning_definition": "主体 WP6 的最大原子间距（主客体复合物尺度）"
   },
   "source": "SAMPL9 host-guest challenge (MIT License): https://github.com/samplchallenges/SAMPL9 ; experimental_data/experimental_measurements.csv (ITC, Isaacs lab); guest structures host_guest/WP6/guest_files",
   "license": "MIT (SAMPL9 repository)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0",
    "assets/families/hostguest/WP6-G12.xyz": "370a8f1dacbd3ff50316365b6e0952acf4ea6c3e5e4a9f543e4acd8b54bbef01",
    "assets/families/hostguest/WP6-G6.xyz": "caf1fe1dd655dfd77100df7841894679eee593110b0b9a75b074789b60ac3f05",
    "assets/families/hostguest/WP6-G7.xyz": "e350aad0314a043cc7696a18d3d50952bd3b8fad372f26ce0fd68b8a2aa62ebe",
    "assets/families/hostguest/WP6-G1.xyz": "51a2fedf9862e67304dcaf8bd6b96014929b07226e44f4417faf23562f696a27",
    "assets/families/hostguest/WP6-binding.json": "c7f28f7670873ae8c6eca37cbd01836f8f3cb8bb4752c8c61a7a206e0cef808b"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HG-EV2",
   "family": "binding_evidence_choice",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G4: trimethylsilylmethylammonium (WP6-G4.xyz)",
     "rule": "next_strongest",
     "reason": "实测 ΔG = -7.77 kcal/mol，次强，比最强弱 2.06。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)",
     "rule": "dication_but_weaker",
     "reason": "虽为双阳离子，实测 ΔG = -5.40 kcal/mol，比最强弱 4.43（仅凭电荷判断会误选）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "G9: (3-hydroxy-1-adamantyl)ammonium (WP6-G9.xyz)",
     "rule": "weaker_binder",
     "reason": "实测 ΔG = -6.23 kcal/mol，比最强弱 3.60。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "G10: trimethyl-[[4-[(trimethylammonio)methyl]phenyl]methyl]ammonium (WP6-G10.xyz)",
     "rule": "correct",
     "reason": "实测 ΔG = -9.83 ± 0.04 kcal/mol，最负；领先 2.06。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "measured_DG": {
     "G10": -9.83,
     "G4": -7.77,
     "G9": -6.23,
     "G5": -5.4
    },
    "margin_kcal_mol": 2.0600000000000005,
    "policy_margin": 0.8,
    "evidence_source": "https://github.com/samplchallenges/SAMPL9/blob/main/experimental_data/experimental_measurements.csv",
    "conditions": "ITC, 1x PBS (137 mM NaCl, 2.7 mM KCl, 10 mM phosphate), pH 7.40, 298.15 K; all complexes 1:1 (host_guest/WP6/README.md)",
    "limits": "答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 1.8273362306920968,
    "reasoning_definition": "主体 WP6 的最大原子间距（主客体复合物尺度）"
   },
   "source": "SAMPL9 host-guest challenge (MIT License): https://github.com/samplchallenges/SAMPL9 ; experimental_data/experimental_measurements.csv (ITC, Isaacs lab); guest structures host_guest/WP6/guest_files",
   "license": "MIT (SAMPL9 repository)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0",
    "assets/families/hostguest/WP6-G10.xyz": "14ca3a8df13809c5a3a6a98ad99d11d8eeb3213507284455471221eec89ddfc0",
    "assets/families/hostguest/WP6-G4.xyz": "c3a51188dfd38dc8166d5d0b09868c134c2c45e388cc766686a69e2bc9593960",
    "assets/families/hostguest/WP6-G9.xyz": "4f510007fdb72c6f60bd585d06ad8659f8db25e5e7a71496f19d0183aa909194",
    "assets/families/hostguest/WP6-G5.xyz": "bf98bf5f2175fe6be57f4f7d8c4a4c75610fe1db9c2dfa96d7eca03e5699e076",
    "assets/families/hostguest/WP6-binding.json": "c7f28f7670873ae8c6eca37cbd01836f8f3cb8bb4752c8c61a7a206e0cef808b"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HG-EV3",
   "family": "binding_evidence_choice",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G3: norbornan-2-ylammonium (WP6-G3.xyz)",
     "rule": "correct",
     "reason": "实测 ΔG = -7.91 ± 0.03 kcal/mol，最负；领先 1.74。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "G8: 3-[benzyl(dimethyl)ammonio]propane-1-sulfonate (WP6-G8.xyz)",
     "rule": "weaker_binder",
     "reason": "实测 ΔG = -5.96 kcal/mol，比最强弱 1.95。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "G11: 2,2-dimethylpropylammonium (WP6-G11.xyz)",
     "rule": "next_strongest",
     "reason": "实测 ΔG = -6.17 kcal/mol，次强，比最强弱 1.74。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)",
     "rule": "dication_but_weaker",
     "reason": "虽为双阳离子，实测 ΔG = -5.40 kcal/mol，比最强弱 2.51（仅凭电荷判断会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "measured_DG": {
     "G3": -7.91,
     "G11": -6.17,
     "G8": -5.96,
     "G5": -5.4
    },
    "margin_kcal_mol": 1.7400000000000002,
    "policy_margin": 0.8,
    "evidence_source": "https://github.com/samplchallenges/SAMPL9/blob/main/experimental_data/experimental_measurements.csv",
    "conditions": "ITC, 1x PBS (137 mM NaCl, 2.7 mM KCl, 10 mM phosphate), pH 7.40, 298.15 K; all complexes 1:1 (host_guest/WP6/README.md)",
    "limits": "答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 1.8273362306920968,
    "reasoning_definition": "主体 WP6 的最大原子间距（主客体复合物尺度）"
   },
   "source": "SAMPL9 host-guest challenge (MIT License): https://github.com/samplchallenges/SAMPL9 ; experimental_data/experimental_measurements.csv (ITC, Isaacs lab); guest structures host_guest/WP6/guest_files",
   "license": "MIT (SAMPL9 repository)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0",
    "assets/families/hostguest/WP6-G3.xyz": "48127117e05a7035ae8717dfc0d6e56b21ad7edc5c34f5966fc5911b26d4b579",
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   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HG-DES1",
   "family": "binding_design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G1: cyclododecylammonium (WP6-G1.xyz)",
     "rule": "weakens_binding",
     "reason": "实测 ΔG = -6.43，反而减弱 0.54 kcal/mol。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "G2: 4-(1,1-dimethylpiperidin-1-ium-4-yl)-1,1-dimethyl-piperidin-1-ium (WP6-G2.xyz)",
     "rule": "correct",
     "reason": "实测 ΔG = -10.44，改善 3.47 kcal/mol，达到目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)",
     "rule": "improves_but_below_target",
     "reason": "实测 ΔG = -7.99，只改善 1.02 kcal/mol，未达 2.0。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "G3: norbornan-2-ylammonium (WP6-G3.xyz)",
     "rule": "improves_but_below_target",
     "reason": "实测 ΔG = -7.91，只改善 0.94 kcal/mol，未达 2.0。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "reference": "G7",
    "reference_DG": -6.97,
    "target_gain": 2.0,
    "measured_DG": {
     "G2": -10.44,
     "G6": -7.99,
     "G3": -7.91,
     "G1": -6.43
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    "improvement": {
     "G2": 3.4699999999999998,
     "G6": 1.0200000000000005,
     "G3": 0.9400000000000004,
     "G1": -0.54
    },
    "design_note": "设计选择：四个候选均有实测值，恰好一个达到目标。",
    "evidence_source": "https://github.com/samplchallenges/SAMPL9/blob/main/experimental_data/experimental_measurements.csv",
    "conditions": "ITC, 1x PBS (137 mM NaCl, 2.7 mM KCl, 10 mM phosphate), pH 7.40, 298.15 K; all complexes 1:1 (host_guest/WP6/README.md)",
    "limits": "答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 1.8273362306920968,
    "reasoning_definition": "主体 WP6 的最大原子间距（主客体复合物尺度）"
   },
   "source": "SAMPL9 host-guest challenge (MIT License): https://github.com/samplchallenges/SAMPL9 ; experimental_data/experimental_measurements.csv (ITC, Isaacs lab); guest structures host_guest/WP6/guest_files",
   "license": "MIT (SAMPL9 repository)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0",
    "assets/families/hostguest/WP6-G2.xyz": "453ad7241181b7ff1a185fa8774c79571d91f51c96af9a00f3d07feafb14183f",
    "assets/families/hostguest/WP6-G6.xyz": "caf1fe1dd655dfd77100df7841894679eee593110b0b9a75b074789b60ac3f05",
    "assets/families/hostguest/WP6-G3.xyz": "48127117e05a7035ae8717dfc0d6e56b21ad7edc5c34f5966fc5911b26d4b579",
    "assets/families/hostguest/WP6-G1.xyz": "51a2fedf9862e67304dcaf8bd6b96014929b07226e44f4417faf23562f696a27",
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HG-DES2",
   "family": "binding_design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G6: cyclooctylammonium (WP6-G6.xyz)",
     "rule": "weakens_binding",
     "reason": "实测 ΔG = -7.99，反而减弱 0.48 kcal/mol。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "G10: trimethyl-[[4-[(trimethylammonio)methyl]phenyl]methyl]ammonium (WP6-G10.xyz)",
     "rule": "dication_not_sufficient",
     "reason": "双阳离子（仅凭电荷会以为结合更强），实测 ΔG = -9.83，变化 +1.36 kcal/mol，未达 1.8。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "G12: trimethyl-[6-(trimethylammonio)-2-adamantyl]ammonium (WP6-G12.xyz)",
     "rule": "correct",
     "reason": "实测 ΔG = -10.84，改善 2.37 kcal/mol，达到目标。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "G5: [3,5-dimethyl-7-(trimethylammonio)-1-adamantyl]-trimethyl-ammonium (WP6-G5.xyz)",
     "rule": "dication_not_sufficient",
     "reason": "双阳离子（仅凭电荷会以为结合更强），实测 ΔG = -5.40，变化 -3.07 kcal/mol，未达 1.8。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "reference": "G13",
    "reference_DG": -8.47,
    "target_gain": 1.8,
    "measured_DG": {
     "G12": -10.84,
     "G10": -9.83,
     "G5": -5.4,
     "G6": -7.99
    },
    "improvement": {
     "G12": 2.369999999999999,
     "G10": 1.3599999999999994,
     "G5": -3.0700000000000003,
     "G6": -0.4800000000000004
    },
    "design_note": "设计选择：四个候选均有实测值，恰好一个达到目标。",
    "evidence_source": "https://github.com/samplchallenges/SAMPL9/blob/main/experimental_data/experimental_measurements.csv",
    "conditions": "ITC, 1x PBS (137 mM NaCl, 2.7 mM KCl, 10 mM phosphate), pH 7.40, 298.15 K; all complexes 1:1 (host_guest/WP6/README.md)",
    "limits": "答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 1.8273362306920968,
    "reasoning_definition": "主体 WP6 的最大原子间距（主客体复合物尺度）"
   },
   "source": "SAMPL9 host-guest challenge (MIT License): https://github.com/samplchallenges/SAMPL9 ; experimental_data/experimental_measurements.csv (ITC, Isaacs lab); guest structures host_guest/WP6/guest_files",
   "license": "MIT (SAMPL9 repository)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0",
    "assets/families/hostguest/WP6-G12.xyz": "370a8f1dacbd3ff50316365b6e0952acf4ea6c3e5e4a9f543e4acd8b54bbef01",
    "assets/families/hostguest/WP6-G10.xyz": "14ca3a8df13809c5a3a6a98ad99d11d8eeb3213507284455471221eec89ddfc0",
    "assets/families/hostguest/WP6-G5.xyz": "bf98bf5f2175fe6be57f4f7d8c4a4c75610fe1db9c2dfa96d7eca03e5699e076",
    "assets/families/hostguest/WP6-G6.xyz": "caf1fe1dd655dfd77100df7841894679eee593110b0b9a75b074789b60ac3f05",
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   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QD-PEAK-C",
   "family": "qdot_optics",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "578.1",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "radius_as_diameter",
     "value": "440.2",
     "reason": "把半径当作直径代入。",
     "is_correct": false,
     "absolute_error": "137.8705790406066"
    },
    {
     "label": "B",
     "rule": "two_rg",
     "value": "545.2",
     "reason": "用 2 倍回转半径代替直径。",
     "is_correct": false,
     "absolute_error": "32.8705790406066"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "578.1",
     "reason": "D = 3.7572 nm，反解 D(λ) 得 λ = 578.07 nm。",
     "is_correct": true,
     "absolute_error": "0.0294209593934"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "631.4",
     "reason": "用包围盒对角线代替最大原子间距。",
     "is_correct": false,
     "absolute_error": "53.3294209593934"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "diameter_in_angstrom",
     "value": null,
     "reason": "not defined for this input"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "atoms": 1026,
    "sizes_nm": {
     "D": 3.7572097820057904,
     "R": 1.8786048910028952,
     "rg": 1.473247658073848,
     "box": 6.3254669733388065
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    "peak_nm": 578.0705790406066,
    "epsilon": 195464.8414624313,
    "limits": "模型粒子（理想闪锌矿球形切割，无配体）；经验曲线只在其拟合尺寸范围内可靠。"
   },
   "scales": {
    "input_nm": 3.7572097820057904,
    "reasoning_nm": 3.7572097820057904,
    "reasoning_definition": "纳米晶最大原子间距（整个粒子）"
   },
   "source": "Yu, Qu, Guo, Peng, Chem. Mater. 15, 2854 (2003), CdSe sizing polynomial and extinction law, https://doi.org/10.1021/cm034081k",
   "license": "只使用论文中的拟合系数（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QD-EPS-E",
   "family": "qdot_optics",
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   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "4.132",
    "unit": "1e5 M^-1 cm^-1",
    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "two_rg",
     "value": "2.092",
     "reason": "用 2 倍回转半径代替直径。",
     "is_correct": false,
     "absolute_error": "2.040185373275399"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "4.132",
     "reason": "ε = 5857 × 4.9837^2.65 = 413219 M⁻¹ cm⁻¹。",
     "is_correct": true,
     "absolute_error": "0.000185373275399"
    },
    {
     "label": "C",
     "rule": "cubic_exponent",
     "value": "7.250",
     "reason": "指数误用 3（体积标度）。",
     "is_correct": false,
     "absolute_error": "3.117814626724601"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "17.251",
     "reason": "用包围盒对角线代替最大原子间距。",
     "is_correct": false,
     "absolute_error": "13.118814626724601"
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   ],
   "excluded_candidates": [
    {
     "rule": "radius_as_diameter",
     "value": "0.658",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "exponent_as_factor",
     "value": "0.774",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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    "achieved": 2
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "atoms": 2296,
    "sizes_nm": {
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     "R": 2.491832807493312,
     "rg": 1.9273746767923505,
     "box": 8.545748538776461
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    "peak_nm": 608.5183340301669,
    "epsilon": 413218.5373275399,
    "limits": "模型粒子（理想闪锌矿球形切割，无配体）；经验曲线只在其拟合尺寸范围内可靠。"
   },
   "scales": {
    "input_nm": 4.983665614986624,
    "reasoning_nm": 4.983665614986624,
    "reasoning_definition": "纳米晶最大原子间距（整个粒子）"
   },
   "source": "Yu, Qu, Guo, Peng, Chem. Mater. 15, 2854 (2003), CdSe sizing polynomial and extinction law, https://doi.org/10.1021/cm034081k",
   "license": "只使用论文中的拟合系数（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
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  {
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   "family": "qdot_optics",
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   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "1.826",
    "unit": "uM",
    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "bounding_box_diagonal",
     "value": "0.464",
     "reason": "用包围盒对角线代替最大原子间距。",
     "is_correct": false,
     "absolute_error": "1.362124429285382"
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    {
     "label": "B",
     "rule": "correct",
     "value": "1.826",
     "reason": "c = A/(ε l) = 0.25/(136902 × 1.0) = 1.8261 µM。",
     "is_correct": true,
     "absolute_error": "0.000124429285382"
    },
    {
     "label": "C",
     "rule": "two_rg",
     "value": "3.464",
     "reason": "用 2 倍回转半径代替直径。",
     "is_correct": false,
     "absolute_error": "1.637875570714618"
    },
    {
     "label": "D",
     "rule": "radius_as_diameter",
     "value": "11.462",
     "reason": "把半径当作直径代入。",
     "is_correct": false,
     "absolute_error": "9.635875570714618"
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   ],
   "excluded_candidates": [
    {
     "rule": "path_in_mm",
     "value": "0.183",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "cubic_exponent",
     "value": "1.204",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
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    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "atoms": 690,
    "sizes_nm": {
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     "R": 1.6423796619539588,
     "rg": 1.2899382131680974,
     "box": 5.50833867738722
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    "peak_nm": 561.0613166209303,
    "epsilon": 136901.9525672917,
    "limits": "模型粒子（理想闪锌矿球形切割，无配体）；经验曲线只在其拟合尺寸范围内可靠。"
   },
   "scales": {
    "input_nm": 3.2847593239079176,
    "reasoning_nm": 3.2847593239079176,
    "reasoning_definition": "纳米晶最大原子间距（整个粒子）"
   },
   "source": "Yu, Qu, Guo, Peng, Chem. Mater. 15, 2854 (2003), CdSe sizing polynomial and extinction law, https://doi.org/10.1021/cm034081k",
   "license": "只使用论文中的拟合系数（事实数据），未转载文字或图",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QD-DES-590",
   "family": "qdot_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "CdSe-QD-D.xyz",
     "rule": "correct",
     "reason": "吸收峰 592.4 nm，最接近目标。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "CdSe-QD-C.xyz",
     "rule": "farther_from_target",
     "reason": "吸收峰 578.1 nm，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "CdSe-QD-B.xyz",
     "rule": "bounding_box_diagonal",
     "reason": "用包围盒对角线时它的吸收峰（618.3 nm）最接近目标。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "CdSe-QD-E.xyz",
     "rule": "radius_as_diameter",
     "reason": "把半径当直径时它的吸收峰（514.1 nm）最接近目标。",
     "is_correct": false
    }
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   "excluded_candidates": [],
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    {
     "label": "B",
     "value": "CdSe-QD-C.xyz",
     "rule": "correct",
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     "is_correct": true
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     "value": "CdSe-QD-A.xyz",
     "rule": "passes_if_bounding_box_diagonal",
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     "value": "CdSe-QD-B.xyz",
     "rule": "passes_if_bounding_box_diagonal",
     "reason": "吸收峰 561.1 nm，未达到 565 nm；若用包围盒对角线会误判为满足。",
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    {
     "label": "B",
     "value": "NaCl (NaCl-cell.txt)",
     "rule": "farther_from_target",
     "reason": "首个非零反射在 2θ = 27.36°，离目标更远。",
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    {
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     "value": "MgO (MgO-cell.txt)",
     "rule": "correct",
     "reason": "首个非零反射 (1 1 1)，2θ = 36.89°，最接近目标。",
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    "reasoning_definition": "候选中最大的首个非零反射晶面间距 d"
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    {
     "label": "D",
     "value": "NaCl (NaCl-cell.txt)",
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     "reason": "首个非零反射 (1 1 1)，2θ = 12.50°，最接近目标。",
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   "checks": {
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    "reasoning_definition": "候选中最大的首个非零反射晶面间距 d"
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     "value": "Cu Kα1 (λ = 1.54056 Å)",
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   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": {
    "value": "1.3007",
    "unit": "angstrom",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_factor_two",
     "value": "0.6504",
     "reason": "λ = d sinθ，漏掉因子 2。",
     "is_correct": false,
     "absolute_error": "0.6503211889756272"
    },
    {
     "label": "B",
     "rule": "second_allowed",
     "value": "1.1265",
     "reason": "用了第二个非零反射。",
     "is_correct": false,
     "absolute_error": "0.1742211889756272"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "1.3007",
     "reason": "首个非零反射 (1 1 1)，d = 14.9099 Å，λ = 2d sin(θ)。",
     "is_correct": true,
     "absolute_error": "0.0000211889756272"
    },
    {
     "label": "D",
     "rule": "two_theta_as_theta",
     "value": "2.5990",
     "reason": "把 2θ 当作 θ 代入。",
     "is_correct": false,
     "absolute_error": "1.2982788110243728"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "2.2529",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "2.2529",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "first": "(1 1 1)",
    "d_A": 14.90989749674133,
    "lowest_index": "(1 0 0)",
    "a_A": 25.8247,
    "target_2theta": 5.0,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖、吸收与仪器因素。设计选择基于计算证据。",
    "wavelength_A": 1.3007211889756272
   },
   "scales": {
    "input_nm": 2.58247,
    "reasoning_nm": 1.490989749674133,
    "reasoning_definition": "首个非零反射的晶面间距 d"
   },
   "source": "https://www.crystallography.net/cod/1516287.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/MNI009-MOF5-full.xyz": "e34fbbfd771f540945f8facdc04b62d852203b4edb35c76b2d131335c69ac5a0"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DS-1UBQ-A",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Met1–Glu16",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.51 Å 在窗口内，但 Cβ–Cβ 7.16 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Gln2–Thr14",
     "rule": "calpha_only",
     "reason": "Cα–Cα 6.62 Å 在窗口内，但 Cβ–Cβ 5.83 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Met1–Leu15",
     "rule": "both_out",
     "reason": "Cα–Cα 8.21 Å、Cβ–Cβ 9.17 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Phe4–Thr66",
     "rule": "correct",
     "reason": "Cα–Cα 4.52 Å，Cβ–Cβ 4.27 Å，两项均在窗口内。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Phe4–Thr66",
      "dca": 4.51503178283387,
      "dcb": 4.27374519596103,
      "miss_ca": 0,
      "miss_cb": 0
     },
     {
      "label": "Met1–Glu16",
      "dca": 5.505705131951766,
      "dcb": 7.164856872262003,
      "miss_ca": 0,
      "miss_cb": 2.6648568722620034
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     {
      "label": "Gln2–Thr14",
      "dca": 6.6212377996867,
      "dcb": 5.832505293610972,
      "miss_ca": 0,
      "miss_cb": 1.3325052936109723
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     {
      "label": "Met1–Leu15",
      "dca": 8.205801240585833,
      "dcb": 9.166512532037473,
      "miss_ca": 1.4058012405858333,
      "miss_cb": 4.666512532037473
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    ],
    "windows": {
     "CA": [
      4.4,
      6.8
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     "CB": [
      3.45,
      4.5
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    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.8205801240585833,
    "reasoning_nm": 0.8205801240585833,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DS-1UBQ-B",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Lys27–Pro38",
     "rule": "correct",
     "reason": "Cα–Cα 5.42 Å，Cβ–Cβ 4.03 Å，两项均在窗口内。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "Met1–Gln62",
     "rule": "both_out",
     "reason": "Cα–Cα 8.10 Å、Cβ–Cβ 7.69 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Gln2–Glu18",
     "rule": "both_out",
     "reason": "Cα–Cα 8.50 Å、Cβ–Cβ 11.05 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Met1–Val17",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.36 Å 在窗口内，但 Cβ–Cβ 6.26 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Lys27–Pro38",
      "dca": 5.415281617792376,
      "dcb": 4.025855188652468,
      "miss_ca": 0,
      "miss_cb": 0
     },
     {
      "label": "Met1–Val17",
      "dca": 5.363758849911134,
      "dcb": 6.258277478667753,
      "miss_ca": 0,
      "miss_cb": 1.758277478667753
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     {
      "label": "Met1–Gln62",
      "dca": 8.100018888866863,
      "dcb": 7.685700293402025,
      "miss_ca": 1.3000188888668633,
      "miss_cb": 3.185700293402025
     },
     {
      "label": "Gln2–Glu18",
      "dca": 8.500306406242071,
      "dcb": 11.051651550786426,
      "miss_ca": 1.7003064062420714,
      "miss_cb": 6.551651550786426
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    ],
    "windows": {
     "CA": [
      4.4,
      6.8
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     "CB": [
      3.45,
      4.5
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    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.8500306406242071,
    "reasoning_nm": 0.8500306406242071,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DS-6LYZ",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Asp18–Leu25",
     "rule": "cbeta_only",
     "reason": "Cβ–Cβ 4.12 Å 在窗口内，但 Cα–Cα 4.16 Å 不在 4.4–6.8 Å（只看 Cβ 会误选）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Val29–Trp123",
     "rule": "correct",
     "reason": "Cα–Cα 6.47 Å，Cβ–Cβ 4.21 Å，两项均在窗口内。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "Lys1–Phe38",
     "rule": "both_out",
     "reason": "Cα–Cα 8.05 Å、Cβ–Cβ 8.63 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Lys1–Asn39",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.78 Å 在窗口内，但 Cβ–Cβ 7.63 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Val29–Trp123",
      "dca": 6.467266810639561,
      "dcb": 4.2131265112740195,
      "miss_ca": 0,
      "miss_cb": 0
     },
     {
      "label": "Asp18–Leu25",
      "dca": 4.163027984532412,
      "dcb": 4.123267393706113,
      "miss_ca": 0.23697201546758873,
      "miss_cb": 0
     },
     {
      "label": "Lys1–Asn39",
      "dca": 5.784133988766166,
      "dcb": 7.625195145043832,
      "miss_ca": 0,
      "miss_cb": 3.125195145043832
     },
     {
      "label": "Lys1–Phe38",
      "dca": 8.047699981982428,
      "dcb": 8.634892356016955,
      "miss_ca": 1.2476999819824277,
      "miss_cb": 4.134892356016955
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    ],
    "windows": {
     "CA": [
      4.4,
      6.8
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     "CB": [
      3.45,
      4.5
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    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.8047699981982428,
    "reasoning_nm": 0.8047699981982428,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-FD-1EHZ",
   "family": "fret_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "G20–U33",
     "rule": "farther_from_target",
     "reason": "r = 4.30 nm，E = 0.797，离目标更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "A35–C61",
     "rule": "correct",
     "reason": "r = 5.40 nm，E = 0.499，最接近目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "A36–C74",
     "rule": "farther_from_target",
     "reason": "r = 6.62 nm，E = 0.228，离目标更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "A31–A76",
     "rule": "farther_from_target",
     "reason": "r = 7.19 nm，E = 0.152，离目标更远。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "A35–C61",
      "r": 5.401952995908054,
      "E": 0.49945759942744156
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     {
      "label": "G20–U33",
      "r": 4.301012960919787,
      "E": 0.7966181677591953
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     {
      "label": "A36–C74",
      "r": 6.616198421299046,
      "E": 0.22815967746037666
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     {
      "label": "A31–A76",
      "r": 7.187547493408305,
      "E": 0.15242503840359664
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    ],
    "r0_nm": 5.4,
    "target": 0.5,
    "atom": "P",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 7.187547493408305,
    "reasoning_nm": 7.187547493408305,
    "reasoning_definition": "候选标记对中最大的点间距离"
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   "source": "https://www.rcsb.org/structure/1EHZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1EHZ.pdb": "3a43aefed0b6d5d8b4be47c44470e61258d0e90b5ff608f132a2c9731c9df41f"
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-FD-1UBQ",
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   "ability": "design",
   "correct_label": "C",
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   "option_audit": [
    {
     "label": "A",
     "value": "Lys11–Lys29",
     "rule": "inverse_square",
     "reason": "把 r⁶ 写成 r²时它最接近目标（0.709）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Gln2–Arg72",
     "rule": "farther_from_target",
     "reason": "r = 2.50 nm，E = 0.501，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Ile61–Leu71",
     "rule": "correct",
     "reason": "r = 2.08 nm，E = 0.751，最接近目标。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "Glu64–Arg74",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.786）。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Ile61–Leu71",
      "r": 2.0800405837386924,
      "E": 0.7509003547934144
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     {
      "label": "Gln2–Arg72",
      "r": 2.499068094310357,
      "E": 0.5005592474202646
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     {
      "label": "Lys11–Lys29",
      "r": 1.59993002972005,
      "E": 0.9357150234390885
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     {
      "label": "Glu64–Arg74",
      "r": 3.105148403860917,
      "E": 0.2140599056386481
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    ],
    "r0_nm": 2.5,
    "target": 0.75,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 3.105148403860917,
    "reasoning_nm": 3.105148403860917,
    "reasoning_definition": "候选标记对中最大的点间距离"
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   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
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  {
   "id": "FA-FD-6LYZ",
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   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Pro70–Arg128",
     "rule": "inverse_square",
     "reason": "把 r⁶ 写成 r²时它最接近目标（0.322）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Leu17–Asp48",
     "rule": "farther_from_target",
     "reason": "r = 3.00 nm，E = 0.499，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Thr43–Ile124",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.251）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Glu7–Gly71",
     "rule": "correct",
     "reason": "r = 3.60 nm，E = 0.250，最接近目标。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Glu7–Gly71",
      "r": 3.6017234124790867,
      "E": 0.2503397689653988
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     {
      "label": "Leu17–Asp48",
      "r": 3.001110910979466,
      "E": 0.4994446475568588
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     {
      "label": "Thr43–Ile124",
      "r": 2.499894487773434,
      "E": 0.7491685093151973
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     {
      "label": "Pro70–Arg128",
      "r": 4.3515234056592185,
      "E": 0.09695878355077692
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    ],
    "r0_nm": 3.0,
    "target": 0.25,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 4.3515234056592185,
    "reasoning_nm": 4.3515234056592185,
    "reasoning_definition": "候选标记对中最大的点间距离"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
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  },
  {
   "id": "FA-QDES-1AON",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
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   "correct_label": "A",
   "numeric_answer": {
    "value": "0.207",
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    "decimals": 3,
    "tolerance": "0.0005"
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    {
     "label": "A",
     "rule": "correct",
     "value": "0.207",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.00021228076760984"
    },
    {
     "label": "B",
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.265",
     "reason": "把回转半径直接当作均匀球的半径求交点（球偏小，q 偏大）。",
     "is_correct": false,
     "absolute_error": "0.05778771923239016"
    },
    {
     "label": "C",
     "rule": "target_as_amplitude",
     "value": "0.288",
     "reason": "把目标值当作振幅比（强度的平方根）求交点。",
     "is_correct": false,
     "absolute_error": "0.08078771923239016"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.296",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.08878771923239016"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.211",
     "reason": "too close to the correct value"
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    {
     "rule": "uniform_sphere_root",
     "value": "0.205",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.237",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_as_s",
     "value": "0.033",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.179",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.021",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third_root",
     "value": "0.122",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.142",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
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   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
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    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 8015,
    "target": 0.5,
    "q_star": 0.20721228076760984,
    "q_rg": 1.417519638229902,
    "rg_nm": 6.840905534067554,
    "dmax_nm": 20.300520034225723,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 20.300520034225723,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1AON",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1AON-residue-points.xyz": "d3587366c916dbd2e00b65dd08078d3c6fff2b4a27f88566b2a14d5961086d70"
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-1KX5",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.376",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third_root",
     "value": "0.213",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.1632867954720496"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.376",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.0002867954720496"
    },
    {
     "label": "C",
     "rule": "target_as_amplitude",
     "value": "0.542",
     "reason": "把目标值当作振幅比（强度的平方根）求交点。",
     "is_correct": false,
     "absolute_error": "0.1657132045279504"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.553",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.1767132045279504"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.370",
     "reason": "too close to the correct value"
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    {
     "rule": "uniform_sphere_root",
     "value": "0.360",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.327",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_as_s",
     "value": "0.060",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.215",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.038",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.171",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.465",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 2,
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
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    "mirror_pair_cue": false
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   "checks": {
    "points": 1266,
    "target": 0.5,
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    "q_rg": 1.467372695646252,
    "rg_nm": 3.899612511795535,
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    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
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   "scales": {
    "input_nm": 16.874347965477064,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
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   "source": "https://www.rcsb.org/structure/1KX5",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1KX5-residue-points.xyz": "390e38ca9381d50b1bcf8b50f86bcf1c079bd875de61b115d48bd7ec1c95a19e"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
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  {
   "id": "FA-QDES-1A34",
   "family": "scattering_q_design",
   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.190",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.030",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.15992447365811693"
    },
    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.113",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.07692447365811693"
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    {
     "label": "C",
     "rule": "correct",
     "value": "0.190",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.00007552634188307"
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    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.340",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.15007552634188307"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.196",
     "reason": "too close to the correct value"
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    {
     "rule": "uniform_sphere_root",
     "value": "0.192",
     "reason": "too close to the correct value"
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    {
     "rule": "single_orientation_root",
     "value": "0.190",
     "reason": "too close to the correct value"
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    {
     "rule": "target_as_amplitude",
     "value": "0.259",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "dmax_sphere_root",
     "value": "0.210",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.019",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "guinier_half_dmax_root",
     "value": "0.167",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.247",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 8820,
    "target": 0.5,
    "q_star": 0.18992447365811693,
    "q_rg": 1.3939870158877572,
    "rg_nm": 7.339691346977607,
    "dmax_nm": 17.297842370076104,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
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   "scales": {
    "input_nm": 17.297842370076104,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1A34",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1A34-capsid-CA.xyz": "7b54ce07230e83764053971e3fb1d2f7280bc00b28b0d2af09cb6f23dab35ab0"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-VX-SPACING-561",
   "family": "vortex_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "652.4",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "row_spacing",
     "value": "565.0",
     "reason": "报告了相邻涡旋行的间距（√3/2）a。",
     "is_correct": false,
     "absolute_error": "87.3956749822245"
    },
    {
     "label": "B",
     "rule": "square_lattice_guess",
     "value": "607.1",
     "reason": "按正方格子由密度反推间距。",
     "is_correct": false,
     "absolute_error": "45.2956749822245"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "652.4",
     "reason": "三角涡旋晶格：a = 652.396 nm，B = 2Φ0/(√3 a²) = 5.6100 mT，n = B/Φ0。",
     "is_correct": true,
     "absolute_error": "0.0043250177755"
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    {
     "label": "D",
     "rule": "second_neighbour",
     "value": "1130.0",
     "reason": "报告了次近邻距离 √3 a。",
     "is_correct": false,
     "absolute_error": "477.6043250177755"
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   ],
   "excluded_candidates": [
    {
     "rule": "half_spacing",
     "value": "326.2",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "double_spacing",
     "value": "1304.8",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
    "always_largest": false,
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   },
   "checks": {
    "vortices": 97,
    "spacing_nm": 652.3956749822245,
    "field_mT": 5.610000006292501,
    "density_per_um2": 2.712983933268367,
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    "limits": "理想三角涡旋晶格（论文用作对比的同一理想化）；不含钉扎无序与热涨落。"
   },
   "scales": {
    "input_nm": 6779.894738638404,
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    "reasoning_definition": "涡旋晶格间距 a"
   },
   "source": "Cottet et al., arXiv:1401.4062 (MgB2 cryo-Lorentz TEM; applied fields 50.8, 56.1, 117.3, 188.7 G) https://arxiv.org/abs/1401.4062",
   "license": "arXiv 非独占许可；只使用数值（事实数据）",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  {
   "id": "FA-VX-DENSITY-1173",
   "family": "vortex_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "5.673",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "half_density",
     "value": "2.836",
     "reason": "晶胞面积多乘了 2。",
     "is_correct": false,
     "absolute_error": "2.836602762475813"
    },
    {
     "label": "B",
     "rule": "square_cell",
     "value": "4.913",
     "reason": "每个涡旋按 a² 的正方形面积计。",
     "is_correct": false,
     "absolute_error": "0.759602762475813"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "5.673",
     "reason": "三角涡旋晶格：a = 451.173 nm，B = 2Φ0/(√3 a²) = 11.7300 mT，n = B/Φ0。",
     "is_correct": true,
     "absolute_error": "0.000397237524187"
    },
    {
     "label": "D",
     "rule": "circle_cell",
     "value": "6.255",
     "reason": "每个涡旋按直径为 a 的圆面积计。",
     "is_correct": false,
     "absolute_error": "0.582397237524187"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "triangle_cell",
     "value": "11.345",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
    "always_largest": false,
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   },
   "checks": {
    "vortices": 97,
    "spacing_nm": 451.1734116596713,
    "field_mT": 11.72999999850579,
    "density_per_um2": 5.672602762475813,
    "q10_per_um": 16.080729203984223,
    "limits": "理想三角涡旋晶格（论文用作对比的同一理想化）；不含钉扎无序与热涨落。"
   },
   "scales": {
    "input_nm": 4688.731631796792,
    "reasoning_nm": 451.1734116596713,
    "reasoning_definition": "涡旋晶格间距 a"
   },
   "source": "Cottet et al., arXiv:1401.4062 (MgB2 cryo-Lorentz TEM; applied fields 50.8, 56.1, 117.3, 188.7 G) https://arxiv.org/abs/1401.4062",
   "license": "arXiv 非独占许可；只使用数值（事实数据）",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/vortex/vortex-MgB2-1173G.txt": "e63add25d015a29205994a2c6e5c22d7b5072672090350a1fd98613f11e5ec9c"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  },
  {
   "id": "FA-VX-SPACING-BSCCO",
   "family": "vortex_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "855.0",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "row_spacing",
     "value": "740.5",
     "reason": "报告了相邻涡旋行的间距（√3/2）a。",
     "is_correct": false,
     "absolute_error": "114.4999999366429"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "855.0",
     "reason": "三角涡旋晶格：a = 855.000 nm，B = 2Φ0/(√3 a²) = 3.2663 mT，n = B/Φ0。",
     "is_correct": true,
     "absolute_error": "6.33571E-8"
    },
    {
     "label": "C",
     "rule": "second_neighbour",
     "value": "1480.9",
     "reason": "报告了次近邻距离 √3 a。",
     "is_correct": false,
     "absolute_error": "625.9000000633571"
    },
    {
     "label": "D",
     "rule": "double_spacing",
     "value": "1710.0",
     "reason": "报告了隔一个涡旋的距离 2a。",
     "is_correct": false,
     "absolute_error": "855.0000000633571"
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   ],
   "excluded_candidates": [
    {
     "rule": "square_lattice_guess",
     "value": "795.7",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "half_spacing",
     "value": "427.5",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
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   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
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   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "117.3 G (11.73 mT) (vortex-MgB2-1173G.txt)",
     "rule": "correct",
     "reason": "满足密度要求的候选中磁场最低（密度 5.67 /μm²）。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "188.7 G (18.87 mT) (vortex-MgB2-1887G.txt)",
     "rule": "meets_but_higher_field",
     "reason": "密度 9.13 /μm² 满足，但磁场更高。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "50.8 G (5.08 mT) (vortex-MgB2-508G.txt)",
     "rule": "too_sparse",
     "reason": "密度 2.46 /μm²，未达到 4。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "56.1 G (5.61 mT) (vortex-MgB2-561G.txt)",
     "rule": "too_sparse",
     "reason": "密度 2.71 /μm²，未达到 4。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "field": "50.8 G (5.08 mT)",
      "spacing_nm": 685.5839596200204,
      "value": 2.4566770703713083
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     {
      "field": "56.1 G (5.61 mT)",
      "spacing_nm": 652.3956749822245,
      "value": 2.712983933268367
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     {
      "field": "117.3 G (11.73 mT)",
      "spacing_nm": 451.1734116596713,
      "value": 5.672602762475813
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     {
      "field": "188.7 G (18.87 mT)",
      "spacing_nm": 355.7185833013962,
      "value": 9.125491402878978
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    ],
    "goal": "min_density",
    "target": 4,
    "design_note": "设计选择：候选为论文中实际施加的磁场，性质由模型涡旋图计算（推断的逆问题）。",
    "limits": "理想三角涡旋晶格；论文指出 188.7 G 时单个涡旋已难以分辨。"
   },
   "scales": {
    "input_nm": 8227.007515440246,
    "reasoning_nm": 685.5839596200204,
    "reasoning_definition": "候选中最大的涡旋晶格间距"
   },
   "source": "Cottet et al., arXiv:1401.4062 (MgB2 cryo-Lorentz TEM; applied fields 50.8, 56.1, 117.3, 188.7 G) https://arxiv.org/abs/1401.4062",
   "license": "arXiv 非独占许可；只使用数值（事实数据）",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-PITCH-R5011",
   "family": "cholesteric_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "355.05",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "half_pitch",
     "value": "177.53",
     "reason": "报告了 p/2（n 与 −n 等价时的光学周期），而螺距是指向矢转 360° 的距离。",
     "is_correct": false,
     "absolute_error": "177.52056060070694"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "355.05",
     "reason": "由指向矢每步转角得螺距 p = 355.051 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "0.00056060070694"
    },
    {
     "label": "C",
     "rule": "reflection_wavelength",
     "value": "592.72",
     "reason": "报告了反射波长 n·p 而非螺距。",
     "is_correct": false,
     "absolute_error": "237.66943939929306"
    },
    {
     "label": "D",
     "rule": "double_pitch",
     "value": "710.10",
     "reason": "报告了两个螺距。",
     "is_correct": false,
     "absolute_error": "355.04943939929306"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "quarter_pitch",
     "value": "88.76",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "three_quarter_pitch",
     "value": "266.29",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 355.05056060070694,
    "handedness": "right",
    "measured_reflection_nm": 585.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 355.05056060070694,
    "reasoning_definition": "螺距 p"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-HAND-S5011",
   "family": "cholesteric_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "right-handed, pitch 362.0 nm",
     "rule": "opposite_handedness",
     "reason": "螺距对，但手性判反（转向与右手定则比较时看错方向）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "left-handed, pitch 181.0 nm",
     "rule": "half_pitch",
     "reason": "手性对，但报告了 p/2（指向矢转 180° 的距离）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "left-handed, pitch 362.0 nm",
     "rule": "correct",
     "reason": "每步转角给出 p = 361.958 nm；(n_i × n_i+1)·前进方向 的符号给出左手。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "right-handed, pitch 181.0 nm",
     "rule": "both_wrong",
     "reason": "手性判反且报告了 p/2。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pitch_nm": 361.9581675242685,
    "handedness": "left",
    "measured_reflection_nm": 593.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 361.9581675242685,
    "reasoning_definition": "螺距 p"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-PITCH-LRCD",
   "family": "cholesteric_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "418.75",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "half_pitch",
     "value": "209.37",
     "reason": "报告了 p/2（n 与 −n 等价时的光学周期），而螺距是指向矢转 360° 的距离。",
     "is_correct": false,
     "absolute_error": "209.3799898974766"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "418.75",
     "reason": "由指向矢每步转角得螺距 p = 418.750 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "0.0000101025234"
    },
    {
     "label": "C",
     "rule": "reflection_wavelength",
     "value": "670.00",
     "reason": "报告了反射波长 n·p 而非螺距。",
     "is_correct": false,
     "absolute_error": "251.2500101025234"
    },
    {
     "label": "D",
     "rule": "double_pitch",
     "value": "837.50",
     "reason": "报告了两个螺距。",
     "is_correct": false,
     "absolute_error": "418.7500101025234"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "quarter_pitch",
     "value": "104.69",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "three_quarter_pitch",
     "value": "314.06",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 418.7499898974766,
    "handedness": "left",
    "measured_reflection_nm": 670.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 418.7499898974766,
    "reasoning_definition": "螺距 p"
   },
   "source": "Dinc et al., Org. Chem. Front. (2024), doi:10.1039/d4qo01672f ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11492181/",
   "license": "CC BY 3.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/cholesteric/clc-LRCD-coating.txt": "08fc61787d7a5617877b391e7cd5ddeca774c238be88235f4283fef129655e66"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-LAMBDA-R5011",
   "family": "cholesteric_optics",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "592.7",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "half_pitch",
     "value": "296.4",
     "reason": "用 p/2 计算（混淆了螺距与光学周期）。",
     "is_correct": false,
     "absolute_error": "296.3214058668202"
    },
    {
     "label": "B",
     "rule": "no_index",
     "value": "355.1",
     "reason": "忽略折射率，直接取螺距。",
     "is_correct": false,
     "absolute_error": "237.6214058668202"
    },
    {
     "label": "C",
     "rule": "ordinary_index",
     "value": "549.8",
     "reason": "用 no 代替平均折射率。",
     "is_correct": false,
     "absolute_error": "42.9214058668202"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "592.7",
     "reason": "由指向矢每步转角得螺距 p = 355.051 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "0.0214058668202"
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   ],
   "excluded_candidates": [
    {
     "rule": "extraordinary_index",
     "value": "635.7",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "double_pitch",
     "value": "1185.4",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 355.05056060070694,
    "handedness": "right",
    "measured_reflection_nm": 585.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 355.05056060070694,
    "reasoning_definition": "螺距 p"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-BAND-R5011",
   "family": "cholesteric_optics",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "85.9",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "half_pitch",
     "value": "43.0",
     "reason": "用 p/2 计算带宽。",
     "is_correct": false,
     "absolute_error": "42.92223566537108"
    },
    {
     "label": "B",
     "rule": "relative_birefringence",
     "value": "51.5",
     "reason": "用 Δn/⟨n⟩ 代替 Δn。",
     "is_correct": false,
     "absolute_error": "34.42223566537108"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "85.9",
     "reason": "由指向矢每步转角得螺距 p = 355.051 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "0.02223566537108"
    },
    {
     "label": "D",
     "rule": "central_wavelength",
     "value": "592.7",
     "reason": "报告了反射中心波长。",
     "is_correct": false,
     "absolute_error": "506.77776433462892"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "half_birefringence",
     "value": "43.0",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "double_pitch",
     "value": "171.8",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 355.05056060070694,
    "handedness": "right",
    "measured_reflection_nm": 585.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 355.05056060070694,
    "reasoning_definition": "螺距 p"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-HTP-S5011",
   "family": "cholesteric_optics",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "107.5",
    "unit": "um^-1",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "percent_not_fraction",
     "value": "1.1",
     "reason": "浓度直接代入百分数而非质量分数。",
     "is_correct": false,
     "absolute_error": "106.40000781227574"
    },
    {
     "label": "B",
     "rule": "double_pitch",
     "value": "53.8",
     "reason": "用 2p 代替螺距。",
     "is_correct": false,
     "absolute_error": "53.70000781227574"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "107.5",
     "reason": "由指向矢每步转角得螺距 p = 361.958 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "0.00000781227574"
    },
    {
     "label": "D",
     "rule": "half_pitch",
     "value": "215.0",
     "reason": "用 p/2 代替螺距。",
     "is_correct": false,
     "absolute_error": "107.49999218772426"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "reflection_for_pitch",
     "value": "64.4",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "nm_um_slip",
     "value": "0.1",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 2,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 361.9581675242685,
    "handedness": "left",
    "measured_reflection_nm": 593.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 361.9581675242685,
    "reasoning_definition": "螺距 p"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-LAMBDA-RRCD",
   "family": "cholesteric_optics",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "603.0",
    "unit": "nm",
    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "no_index",
     "value": "376.9",
     "reason": "忽略折射率，直接取螺距。",
     "is_correct": false,
     "absolute_error": "226.1000002759615"
    },
    {
     "label": "B",
     "rule": "ordinary_index",
     "value": "565.3",
     "reason": "用 no 代替平均折射率。",
     "is_correct": false,
     "absolute_error": "37.7000002759615"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "603.0",
     "reason": "由指向矢每步转角得螺距 p = 376.875 nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。",
     "is_correct": true,
     "absolute_error": "2.759615E-7"
    },
    {
     "label": "D",
     "rule": "extraordinary_index",
     "value": "659.5",
     "reason": "用 ne 代替平均折射率。",
     "is_correct": false,
     "absolute_error": "56.4999997240385"
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   ],
   "excluded_candidates": [
    {
     "rule": "half_pitch",
     "value": "301.5",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "double_pitch",
     "value": "1206.0",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "pitch_nm": 376.8750001724759,
    "handedness": "right",
    "measured_reflection_nm": 603.0,
    "limits": "理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 376.8750001724759,
    "reasoning_definition": "螺距 p"
   },
   "source": "Dinc et al., Org. Chem. Front. (2024), doi:10.1039/d4qo01672f ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11492181/",
   "license": "CC BY 3.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-DES-550",
   "family": "cholesteric_design",
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   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "E44-R5011-2.20wt (clc-E44-R5011-2.20wt.txt)",
     "rule": "half_pitch",
     "reason": "用 p/2 计算时它的反射（352.9 nm）最接近目标。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "E44-R5011-2.90wt (clc-E44-R5011-2.90wt.txt)",
     "rule": "correct",
     "reason": "反射中心 535.5 nm，最接近目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)",
     "rule": "farther_from_target",
     "reason": "反射 592.7 nm。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "E44-R5011-3.40wt (clc-E44-R5011-3.40wt.txt)",
     "rule": "farther_from_target",
     "reason": "反射 456.7 nm。",
     "is_correct": false
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "label": "E44-R5011-2.20wt",
      "pitch_nm": 422.83299812467885,
      "reflection_nm": 705.8774070693389,
      "hand": 1
     },
     {
      "label": "E44-R5011-2.62wt",
      "pitch_nm": 355.05056060070694,
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      "hand": 1
     },
     {
      "label": "E44-R5011-2.90wt",
      "pitch_nm": 320.76980420172924,
      "reflection_nm": 535.4931111343668,
      "hand": 1
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     {
      "label": "E44-R5011-3.40wt",
      "pitch_nm": 273.5977853536342,
      "reflection_nm": 456.74414286935695,
      "hand": 1
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    ],
    "goal": "closest",
    "target_nm": 550,
    "design_note": "设计选择：按目标颜色、手性或掺杂量选择膜（推断的逆问题）。",
    "limits": "理想均匀扭曲的胆甾螺旋；非实测浓度的候选为按论文 HTP 计算的模型。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 422.83299812467885,
    "reasoning_definition": "候选中最大的螺距"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-DES-LEFT600",
   "family": "cholesteric_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)",
     "rule": "right_handed",
     "reason": "反射 592.7 nm，且为右手螺旋。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "RRCD-coating (clc-RRCD-coating.txt)",
     "rule": "right_handed_closer",
     "reason": "反射 603.0 nm 也接近目标，但螺旋是右手的。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "E44-S5011-2.57wt (clc-E44-S5011-2.57wt.txt)",
     "rule": "correct",
     "reason": "左手螺旋，反射 604.3 nm，在左手候选中最接近目标。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "LRCD-coating (clc-LRCD-coating.txt)",
     "rule": "farther_from_target",
     "reason": "反射 670.0 nm。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "label": "E44-R5011-2.62wt",
      "pitch_nm": 355.05056060070694,
      "reflection_nm": 592.7214058668202,
      "hand": 1
     },
     {
      "label": "E44-S5011-2.57wt",
      "pitch_nm": 361.9581675242685,
      "reflection_nm": 604.2529648650138,
      "hand": -1
     },
     {
      "label": "LRCD-coating",
      "pitch_nm": 418.7499898974766,
      "reflection_nm": 669.9999838359627,
      "hand": -1
     },
     {
      "label": "RRCD-coating",
      "pitch_nm": 376.8750001724759,
      "reflection_nm": 603.0000002759615,
      "hand": 1
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    ],
    "goal": "left_closest",
    "target_nm": 600,
    "design_note": "设计选择：按目标颜色、手性或掺杂量选择膜（推断的逆问题）。",
    "limits": "理想均匀扭曲的胆甾螺旋；非实测浓度的候选为按论文 HTP 计算的模型。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 418.7499898974766,
    "reasoning_definition": "候选中最大的螺距"
   },
   "source": "Dinc et al., Org. Chem. Front. (2024), doi:10.1039/d4qo01672f ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11492181/ ; Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 3.0；只使用数值 ; CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-CH-DES-BELOW620",
   "family": "cholesteric_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "E44-R5011-3.00wt (clc-E44-R5011-3.00wt.txt)",
     "rule": "meets_but_more_dopant",
     "reason": "反射 517.6 nm 满足，但掺杂剂更多。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "E44-R5011-2.20wt (clc-E44-R5011-2.20wt.txt)",
     "rule": "reflects_too_red",
     "reason": "反射 705.9 nm，超过 620 nm；只看螺距 p（422.8 nm）会误判为满足。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "E44-R5011-2.40wt (clc-E44-R5011-2.40wt.txt)",
     "rule": "reflects_too_red",
     "reason": "反射 647.1 nm，超过 620 nm；只看螺距 p（387.6 nm）会误判为满足。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "E44-R5011-2.62wt (clc-E44-R5011-2.62wt.txt)",
     "rule": "correct",
     "reason": "满足上限的候选中掺杂剂最少（反射 592.7 nm）。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "candidates": [
     {
      "label": "E44-R5011-2.20wt",
      "pitch_nm": 422.83299812467885,
      "reflection_nm": 705.8774070693389,
      "hand": 1
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     {
      "label": "E44-R5011-2.40wt",
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      "hand": 1
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     {
      "label": "E44-R5011-2.62wt",
      "pitch_nm": 355.05056060070694,
      "reflection_nm": 592.7214058668202,
      "hand": 1
     },
     {
      "label": "E44-R5011-3.00wt",
      "pitch_nm": 310.0775117745654,
      "reflection_nm": 517.6433981564594,
      "hand": 1
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    ],
    "goal": "min_conc",
    "target_nm": 620,
    "design_note": "设计选择：按目标颜色、手性或掺杂量选择膜（推断的逆问题）。",
    "limits": "理想均匀扭曲的胆甾螺旋；非实测浓度的候选为按论文 HTP 计算的模型。"
   },
   "scales": {
    "input_nm": 1500.0,
    "reasoning_nm": 422.83299812467885,
    "reasoning_definition": "候选中最大的螺距"
   },
   "source": "Shaban et al., Materials 17, 5080 (2024), doi:10.3390/ma17205080 ; open copy https://pmc.ncbi.nlm.nih.gov/articles/PMC11509098/",
   "license": "CC BY 4.0；只使用数值",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-RUTILE",
   "family": "coordination_shell",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "2 at 2.959 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "2 at 1.982 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "6 at 1.947 Å",
     "rule": "whole_coordination_polyhedron",
     "reason": "把整个配位多面体（6 个，含 1.947–1.982 Å 的较长键）都算作最短距离的一组。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "4 at 1.947 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：4 个，距离 1.9472 Å。",
     "is_correct": true
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   ],
   "excluded_candidates": [
    {
     "rule": "no_periodic_images",
     "value": "0 at 1.947 Å",
     "reason": "无效或与其他选项重复"
    },
    {
     "rule": "merged_first_two_shells",
     "value": "6 at 1.947 Å",
     "reason": "无效或与其他选项重复"
    },
    {
     "rule": "mixed_shells",
     "value": "2 at 1.947 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
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    "shells": [
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      "distance_A": 1.947203,
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     },
     {
      "distance_A": 1.981772,
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     {
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     "alpha": 90.0,
     "beta": 90.0,
     "gamma": 90.0
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    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.4593,
    "reasoning_nm": 0.389440589448043,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-COORD-ZNO",
   "family": "coordination_shell",
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   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "3 at 1.974 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：3 个，距离 1.9736 Å。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "4 at 1.974 Å",
     "rule": "whole_coordination_polyhedron",
     "reason": "把整个配位多面体（4 个，含 1.974–1.990 Å 的较长键）都算作最短距离的一组。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "1 at 1.990 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "6 at 3.208 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
     "is_correct": false
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   ],
   "excluded_candidates": [
    {
     "rule": "no_periodic_images",
     "value": "0 at 1.974 Å",
     "reason": "无效或与其他选项重复"
    },
    {
     "rule": "merged_first_two_shells",
     "value": "4 at 1.974 Å",
     "reason": "无效或与其他选项重复"
    },
    {
     "rule": "mixed_shells",
     "value": "1 at 1.974 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "centre_row": 3,
    "shells": [
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      "distance_A": 1.973551,
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     {
      "distance_A": 1.990024,
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     {
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     "alpha": 90.0,
     "beta": 90.0,
     "gamma": 120.0
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    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.52054,
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    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
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   "source": "https://www.crystallography.net/cod/2300112.html",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  },
  {
   "id": "FA-COORD-QUARTZ",
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   "ability": "perception",
   "correct_label": "B",
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   "option_audit": [
    {
     "label": "A",
     "value": "4 at 1.605 Å",
     "rule": "whole_coordination_polyhedron",
     "reason": "把整个配位多面体（4 个，含 1.605–1.611 Å 的较长键）都算作最短距离的一组。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "2 at 1.605 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：2 个，距离 1.6054 Å。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "1 at 1.605 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "2 at 1.611 Å",
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     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
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   ],
   "excluded_candidates": [
    {
     "rule": "mixed_shells",
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     "reason": "无效或与其他选项重复"
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    {
     "rule": "merged_first_two_shells",
     "value": "4 at 1.605 Å",
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    },
    {
     "rule": "same_species_shell",
     "value": "4 at 3.057 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
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   "checks": {
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    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
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    "reasoning_nm": 0.26131714699725217,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
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   "source": "https://www.crystallography.net/cod/5000035.html",
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    "tolerance": "0.005"
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    {
     "label": "A",
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     "value": "27.44",
     "reason": "第一个 |F|≠0 的反射 (1 1 0)，d = 3.24774 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00034730290934"
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    {
     "label": "B",
     "rule": "second_allowed_peak",
     "value": "36.08",
     "reason": "报告了第二个非零反射 (0 1 -1)。",
     "is_correct": false,
     "absolute_error": "8.63965269709066"
    },
    {
     "label": "C",
     "rule": "bragg_missing_factor_two",
     "value": "56.64",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
     "absolute_error": "29.19965269709066"
    },
    {
     "label": "D",
     "rule": "strongest_not_first",
     "value": "62.75",
     "reason": "把最强的反射 (0 0 2) 当作第一个峰（混淆了强度与出现角度）。",
     "is_correct": false,
     "absolute_error": "35.30965269709066"
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   ],
   "excluded_candidates": [
    {
     "rule": "cubic_d_formula",
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     "reason": "too close to the correct value"
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    {
     "rule": "lowest_index_ignoring_extinction",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_c",
     "value": "30.18",
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    {
     "rule": "theta_not_two_theta",
     "value": "13.72",
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    {
     "rule": "d_equals_a",
     "value": "19.31",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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   "checks": {
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    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
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   "id": "FA-PEAK-ZNO",
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    "value": "31.77",
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   "option_audit": [
    {
     "label": "A",
     "rule": "lowest_index_ignoring_extinction",
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     "reason": "取最低角反射 (0 0 1)，未检查它是否消光。",
     "is_correct": false,
     "absolute_error": "14.75296679343421"
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    {
     "label": "B",
     "rule": "correct",
     "value": "31.77",
     "reason": "第一个 |F|≠0 的反射 (0 1 0)，d = 2.81406 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00296679343421"
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    {
     "label": "C",
     "rule": "second_allowed_peak",
     "value": "34.43",
     "reason": "报告了第二个非零反射 (0 0 2)。",
     "is_correct": false,
     "absolute_error": "2.65703320656579"
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    {
     "label": "D",
     "rule": "strongest_not_first",
     "value": "56.60",
     "reason": "把最强的反射 (1 1 0) 当作第一个峰（混淆了强度与出现角度）。",
     "is_correct": false,
     "absolute_error": "24.82703320656579"
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   ],
   "excluded_candidates": [
    {
     "rule": "cubic_d_formula",
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    {
     "rule": "d_equals_c",
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    {
     "rule": "theta_not_two_theta",
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     "rule": "d_equals_a",
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    {
     "rule": "bragg_missing_factor_two",
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   "checks": {
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    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
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    {
     "label": "A",
     "rule": "lowest_index_ignoring_extinction",
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     "reason": "取最低角反射 (0 0 1)，未检查它是否消光。",
     "is_correct": false,
     "absolute_error": "4.473691564390614"
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    {
     "label": "B",
     "rule": "cubic_d_formula",
     "value": "18.04",
     "reason": "对非立方晶胞套用立方公式 d = a/√(h²+k²+l²)（忽略 b、c 与晶胞角）。",
     "is_correct": false,
     "absolute_error": "2.823691564390614"
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    {
     "label": "C",
     "rule": "correct",
     "value": "20.86",
     "reason": "第一个 |F|≠0 的反射 (0 1 0)，d = 4.25425 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.003691564390614"
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    {
     "label": "D",
     "rule": "second_allowed_peak",
     "value": "26.65",
     "reason": "报告了第二个非零反射 (0 1 -1)。",
     "is_correct": false,
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   ],
   "excluded_candidates": [
    {
     "rule": "d_equals_c",
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    {
     "rule": "theta_not_two_theta",
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    {
     "rule": "d_equals_a",
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    {
     "rule": "bragg_missing_factor_two",
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    {
     "rule": "strongest_not_first",
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   "checks": {
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   },
   "scales": {
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     "label": "B",
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    {
     "label": "C",
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    {
     "label": "D",
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   ],
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    },
    "limits": "零角度原子序数权重的运动学模型；不含原子散射因子角度依赖、热振动或多重散射。"
   },
   "scales": {
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    {
     "label": "C",
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     "reason": "指数换轴后的 (0 1 2) 是消光的；把那条消光条件套到了另一根晶轴上，但本反射 |F| 不为零。",
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    {
     "label": "D",
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   ],
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    "input_nm": 17.06828675643809,
    "reasoning_nm": 17.06828675643809,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/1STM",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-2BUK",
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   "numeric_answer": {
    "value": "19.44",
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    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "4.53",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "14.907747771025325"
    },
    {
     "label": "B",
     "rule": "max_radius",
     "value": "9.72",
     "reason": "用最大中心距（半径而非直径或均方根）。",
     "is_correct": false,
     "absolute_error": "9.717747771025325"
    },
    {
     "label": "C",
     "rule": "sphere_radius_from_rg",
     "value": "10.13",
     "reason": "按实心球关系 R = √(5/3)·Rg 换成半径。",
     "is_correct": false,
     "absolute_error": "9.307747771025325"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "19.44",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.002252228974675"
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   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "19.44",
     "reason": "too close to the correct value"
    },
    {
     "rule": "largest_axis_span",
     "value": "19.34",
     "reason": "too close to the correct value"
    },
    {
     "rule": "bounding_box_diagonal",
     "value": "33.13",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "mean_radius",
     "value": "7.79",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_rg",
     "value": "15.69",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "20.26",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "7.53",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": false,
    "always_largest": true,
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   "checks": {
    "points": 11040,
    "component": null,
    "value_nm": 19.437747771025325,
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    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
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   "scales": {
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    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
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   "source": "https://www.rcsb.org/structure/2BUK",
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   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  },
  {
   "id": "FA-ASM-RG-2BUK",
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   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "7.85",
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    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "4.53",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "3.315402978307311"
    },
    {
     "label": "B",
     "rule": "rg_from_dmax_solid_sphere",
     "value": "7.53",
     "reason": "按实心球关系由最大尺寸估算回转半径 Rg = √(3/5)·Dmax/2（空心外壳会低估）。",
     "is_correct": false,
     "absolute_error": "0.315402978307311"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "7.85",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.004597021692689"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "33.13",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "25.284597021692689"
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   ],
   "excluded_candidates": [
    {
     "rule": "mean_radius",
     "value": "7.79",
     "reason": "too close to the correct value"
    },
    {
     "rule": "radius_of_gyration",
     "value": "7.85",
     "reason": "too close to the correct value"
    },
    {
     "rule": "centroid_diameter",
     "value": "19.44",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "largest_axis_span",
     "value": "19.34",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "9.72",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "10.13",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "20.26",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_distance",
     "value": "19.44",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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   },
   "checks": {
    "points": 11040,
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    "value_nm": 7.845402978307311,
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    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
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    "reasoning_nm": 19.437747771025325,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
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   "source": "https://www.rcsb.org/structure/2BUK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-GUIN-1RYP",
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   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.765",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.449",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.3164811716572687"
    },
    {
     "label": "B",
     "rule": "half_dmax_as_rg",
     "value": "0.503",
     "reason": "把最大尺寸的一半当作回转半径。",
     "is_correct": false,
     "absolute_error": "0.2624811716572687"
    },
    {
     "label": "C",
     "rule": "first_order_expansion",
     "value": "0.733",
     "reason": "只取一阶展开 1−q²Rg²/3。",
     "is_correct": false,
     "absolute_error": "0.0324811716572687"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.765",
     "reason": "等权 Rg = 5.9694 nm，qRg = 0.895 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0004811716572687"
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   ],
   "excluded_candidates": [
    {
     "rule": "linear_in_q",
     "value": "0.742",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.875",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.997",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_spread_as_rg",
     "value": "0.861",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 5.969373616761955,
    "q_per_nm": 0.15,
    "q_rg": 0.8954060425142932,
    "dmax_nm": 19.138079224676652,
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   "input_hashes": {
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  {
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.494",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.2965362469774402"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.791",
     "reason": "等权 Rg = 6.9977 nm，qRg = 0.840 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0004637530225598"
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    {
     "label": "C",
     "rule": "amplitude_not_intensity",
     "value": "0.889",
     "reason": "报告了散射振幅比（强度的平方根）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.0984637530225598"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.925",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.1344637530225598"
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   ],
   "excluded_candidates": [
    {
     "rule": "half_dmax_as_rg",
     "value": "0.705",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "first_order_expansion",
     "value": "0.765",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "linear_in_q",
     "value": "0.756",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.998",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
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    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 6.997674764921086,
    "q_per_nm": 0.12,
    "q_rg": 0.8397209717905303,
    "dmax_nm": 17.06828675643809,
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    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
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   "source": "https://www.rcsb.org/structure/1STM",
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   "input_hashes": {
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   "option_order": "numeric ascending (label = rank)",
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  },
  {
   "id": "FA-DEB-1RYP",
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   "numeric_answer": {
    "value": "0.330",
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    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.040",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.29039230762624205"
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    {
     "label": "B",
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.064",
     "reason": "用 Guinier 近似并把最大尺寸的一半当作回转半径。",
     "is_correct": false,
     "absolute_error": "0.26639230762624205"
    },
    {
     "label": "C",
     "rule": "intensity_squared",
     "value": "0.109",
     "reason": "把算出的强度当成振幅又平方了一次（与“振幅当强度”方向相反的混淆）。",
     "is_correct": false,
     "absolute_error": "0.22139230762624205"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.330",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 6386；qRg = 1.79。",
     "is_correct": true,
     "absolute_error": "0.00039230762624205"
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   ],
   "excluded_candidates": [
    {
     "rule": "guinier_outside_range",
     "value": "0.343",
     "reason": "too close to the correct value"
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    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.311",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.330",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.464",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.575",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.001",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.989",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.510",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_spread",
     "value": "0.549",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
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    "always_largest": true,
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   },
   "checks": {
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    "q_per_nm": 0.3,
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    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1RYP",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-DEB-2BUK",
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   "correct_label": "A",
   "numeric_answer": {
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.227",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 11040；qRg = 1.96。",
     "is_correct": true,
     "absolute_error": "0.0000694736972097"
    },
    {
     "label": "B",
     "rule": "guinier_outside_range",
     "value": "0.277",
     "reason": "在 qRg = 1.96 > 1.3 处仍用 Guinier 近似。",
     "is_correct": false,
     "absolute_error": "0.0499305263027903"
    },
    {
     "label": "C",
     "rule": "sphere_radius_equals_rg",
     "value": "0.442",
     "reason": "把回转半径直接当作均匀球的半径（应为 √(5/3)·Rg），强度偏大。",
     "is_correct": false,
     "absolute_error": "0.2149305263027903"
    },
    {
     "label": "D",
     "rule": "amplitude_not_intensity",
     "value": "0.477",
     "reason": "报告了平方根（振幅比）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.2499305263027903"
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   ],
   "excluded_candidates": [
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.240",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.227",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.227",
     "reason": "too close to the correct value"
    },
    {
     "rule": "s_convention",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.987",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third",
     "value": "0.021",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.140",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "intensity_squared",
     "value": "0.052",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_spread",
     "value": "0.652",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 11040,
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    "rg_nm": 7.845402978307311,
    "q_rg": 1.9613507445768277,
    "dmax_nm": 19.437747771025325,
    "probe_length_nm": 25.132741228718345,
    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
    "input_nm": 19.437747771025325,
    "reasoning_nm": 19.437747771025325,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/2BUK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/2BUK-capsid-CA.xyz": "4ddb1d08c9ba1ac319f3e7f38ad59459ff6a6c8c80e2f3bac70db72fd8558147"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-1RYP",
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   "ability": "design",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.239",
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    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.038",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.2008353073701644"
    },
    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.139",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.0998353073701644"
    },
    {
     "label": "C",
     "rule": "dmax_sphere_root",
     "value": "0.190",
     "reason": "把颗粒当作直径等于最大尺寸的实心球。",
     "is_correct": false,
     "absolute_error": "0.0488353073701644"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.239",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.0001646926298356"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.242",
     "reason": "too close to the correct value"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.235",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.286",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "target_as_amplitude",
     "value": "0.334",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.024",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.151",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.304",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_root",
     "value": "0.323",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 6386,
    "target": 0.5,
    "q_star": 0.2388353073701644,
    "q_rg": 1.4256971825666915,
    "rg_nm": 5.969373616761955,
    "dmax_nm": 19.138079224676652,
    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 19.138079224676652,
    "reasoning_nm": 19.138079224676652,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1RYP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1RYP-residue-points.xyz": "7beb46ad18bf70143bcb92f8b2518820bff8e0392abbfbb3145ebb4f3281d37b"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-T-1STM",
   "family": "capsid_architecture",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "1",
    "unit": "",
    "decimals": 0,
    "tolerance": "0.4"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "1",
     "reason": "N = 60 个 CP，T = N/60 = 1；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "B",
     "rule": "neighbouring_allowed_T_3",
     "value": "3",
     "reason": "相邻的允许三角剖分数 T=3；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "2"
    },
    {
     "label": "C",
     "rule": "neighbouring_allowed_T_4",
     "value": "4",
     "reason": "相邻的允许三角剖分数 T=4；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "3"
    },
    {
     "label": "D",
     "rule": "neighbouring_allowed_T_9",
     "value": "9",
     "reason": "相邻的允许三角剖分数 T=9；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "8"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "neighbouring_allowed_T_7",
     "value": "7",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 60,
    "T": 1,
    "component": "CP",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
    "input_nm": 13.570947891728125,
    "reasoning_nm": 13.570947891728125,
    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
   },
   "source": "https://www.rcsb.org/structure/1STM",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-CAPS-2BUK",
   "family": "capsid_architecture",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "12",
    "unit": "",
    "decimals": 0,
    "tolerance": "0.4"
   },
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    {
     "label": "A",
     "rule": "hexons_only",
     "value": "0",
     "reason": "只数了六邻体，漏掉 12 个五邻体。",
     "is_correct": false,
     "absolute_error": "12"
    },
    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "10",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "2"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "12",
     "reason": "N = 60 个 CP，T = N/60 = 1；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "D",
     "rule": "copies_as_capsomers",
     "value": "60",
     "reason": "把亚基数当作壳粒数。",
     "is_correct": false,
     "absolute_error": "48"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "all_pentamers",
     "value": "12",
     "reason": "too close to the correct value"
    },
    {
     "rule": "pentons_only",
     "value": "12",
     "reason": "too close to the correct value"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 60,
    "T": 1,
    "component": "CP",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
    "input_nm": 15.227015077814823,
    "reasoning_nm": 15.227015077814823,
    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
   },
   "source": "https://www.rcsb.org/structure/2BUK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-1CWP",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "24.21",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "mean_radius",
     "value": "11.88",
     "reason": "用中心距的算术平均。",
     "is_correct": false,
     "absolute_error": "12.334936052981848"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "24.21",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.004936052981848"
    },
    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "30.67",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "6.455063947018152"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "41.53",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "17.315063947018152"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "24.26",
     "reason": "too close to the correct value"
    },
    {
     "rule": "largest_axis_span",
     "value": "24.14",
     "reason": "too close to the correct value"
    },
    {
     "rule": "max_radius",
     "value": "12.13",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "15.33",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_rg",
     "value": "23.75",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_rms",
     "value": "6.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "9.38",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 180,
    "component": "CP",
    "value_nm": 24.214936052981848,
    "dmax_nm": 24.214936052981848,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 24.214936052981848,
    "reasoning_nm": 24.214936052981848,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/1CWP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1CWP-chain-centroids.txt": "9847129d6f2614c250054d8ff7994d2d728662827b1ae836552ffc37e777b965"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-RG-1CWP",
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   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "11.88",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "6.86",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "5.017271524768261"
    },
    {
     "label": "B",
     "rule": "rg_from_dmax_solid_sphere",
     "value": "9.38",
     "reason": "按实心球关系由最大尺寸估算回转半径 Rg = √(3/5)·Dmax/2（空心外壳会低估）。",
     "is_correct": false,
     "absolute_error": "2.497271524768261"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "11.88",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.002728475231739"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "41.53",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "29.652728475231739"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "mean_radius",
     "value": "11.88",
     "reason": "too close to the correct value"
    },
    {
     "rule": "max_radius",
     "value": "12.13",
     "reason": "too close to the correct value"
    },
    {
     "rule": "radius_of_gyration",
     "value": "11.88",
     "reason": "too close to the correct value"
    },
    {
     "rule": "centroid_diameter",
     "value": "24.26",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "largest_axis_span",
     "value": "24.14",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "15.33",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "30.67",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_distance",
     "value": "24.21",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 180,
    "component": "CP",
    "value_nm": 11.877271524768261,
    "dmax_nm": 24.214936052981848,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 24.214936052981848,
    "reasoning_nm": 24.214936052981848,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/1CWP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1CWP-chain-centroids.txt": "9847129d6f2614c250054d8ff7994d2d728662827b1ae836552ffc37e777b965"
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-1SVA",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "42.92",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "mean_radius",
     "value": "21.32",
     "reason": "用中心距的算术平均。",
     "is_correct": false,
     "absolute_error": "21.597816189200494"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "42.92",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.002183810799506"
    },
    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "55.04",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "12.122183810799506"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "73.53",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "30.612183810799506"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "42.95",
     "reason": "too close to the correct value"
    },
    {
     "rule": "two_rg",
     "value": "42.64",
     "reason": "too close to the correct value"
    },
    {
     "rule": "largest_axis_span",
     "value": "42.45",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "21.47",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "27.52",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_rms",
     "value": "12.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "16.62",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 360,
    "component": "VP1",
    "value_nm": 42.917816189200494,
    "dmax_nm": 42.917816189200494,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 42.917816189200494,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/1SVA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1SVA-chain-centroids.txt": "a3a237f1d11e12d1e1a6018201c9d2051183b3ab2bf9dadefaf4817d6150dbbd"
   },
   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-RG-1SVA",
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   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "21.32",
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    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "21.32",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.00219589843582"
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    {
     "label": "B",
     "rule": "sphere_radius_from_rg",
     "value": "27.52",
     "reason": "按实心球关系 R = √(5/3)·Rg 换成半径。",
     "is_correct": false,
     "absolute_error": "6.20219589843582"
    },
    {
     "label": "C",
     "rule": "sphere_diameter_from_rg",
     "value": "55.04",
     "reason": "按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。",
     "is_correct": false,
     "absolute_error": "33.72219589843582"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "73.53",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "52.21219589843582"
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   ],
   "excluded_candidates": [
    {
     "rule": "mean_radius",
     "value": "21.32",
     "reason": "too close to the correct value"
    },
    {
     "rule": "max_radius",
     "value": "21.47",
     "reason": "too close to the correct value"
    },
    {
     "rule": "radius_of_gyration",
     "value": "21.32",
     "reason": "too close to the correct value"
    },
    {
     "rule": "centroid_diameter",
     "value": "42.95",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "largest_axis_span",
     "value": "42.45",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_axis_rms",
     "value": "12.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "16.62",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_distance",
     "value": "42.92",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 360,
    "component": "VP1",
    "value_nm": 21.31780410156418,
    "dmax_nm": 42.917816189200494,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 42.917816189200494,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
   },
   "source": "https://www.rcsb.org/structure/1SVA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-EXT-2FT1",
   "family": "assembly_extent",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "59.88",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "16.21",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "43.671699413844295"
    },
    {
     "label": "B",
     "rule": "rg_from_dmax_solid_sphere",
     "value": "23.19",
     "reason": "按实心球关系由最大尺寸估算回转半径 Rg = √(3/5)·Dmax/2（空心外壳会低估）。",
     "is_correct": false,
     "absolute_error": "36.691699413844295"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "59.88",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.001699413844295"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "98.36",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "38.478300586155705"
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   ],
   "excluded_candidates": [
    {
     "rule": "centroid_diameter",
     "value": "59.88",
     "reason": "too close to the correct value"
    },
    {
     "rule": "largest_axis_span",
     "value": "57.06",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "mean_radius",
     "value": "28.06",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "29.94",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "36.24",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_rg",
     "value": "56.14",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "72.47",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 420,
    "component": "gp5",
    "value_nm": 59.881699413844295,
    "dmax_nm": 59.881699413844295,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 59.881699413844295,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
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   "source": "https://www.rcsb.org/structure/2FT1",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/2FT1-chain-centroids.txt": "180ae98cc1a45cbe92a6664e6ab007d17a24982bc3f36e1876c89bebf60206be"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-RG-2FT1",
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   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "28.07",
    "unit": "nm",
    "decimals": 2,
    "tolerance": "0.005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "single_axis_rms",
     "value": "16.21",
     "reason": "只算了一个坐标轴方向的均方根离散度，而不是三维距离。",
     "is_correct": false,
     "absolute_error": "11.858286991553844"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "28.07",
     "reason": "按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。",
     "is_correct": true,
     "absolute_error": "0.001713008446156"
    },
    {
     "label": "C",
     "rule": "centroid_diameter",
     "value": "59.88",
     "reason": "用两倍最大中心距代替最大点对间距。",
     "is_correct": false,
     "absolute_error": "31.811713008446156"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "98.36",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大间距。",
     "is_correct": false,
     "absolute_error": "70.291713008446156"
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   ],
   "excluded_candidates": [
    {
     "rule": "mean_radius",
     "value": "28.06",
     "reason": "too close to the correct value"
    },
    {
     "rule": "radius_of_gyration",
     "value": "28.07",
     "reason": "too close to the correct value"
    },
    {
     "rule": "largest_axis_span",
     "value": "57.06",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_radius",
     "value": "29.94",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_from_rg",
     "value": "36.24",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_diameter_from_rg",
     "value": "72.47",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rg_from_dmax_solid_sphere",
     "value": "23.19",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "max_distance",
     "value": "59.88",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 420,
    "component": "gp5",
    "value_nm": 28.068286991553844,
    "dmax_nm": 59.881699413844295,
    "limits": "约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。"
   },
   "scales": {
    "input_nm": 59.881699413844295,
    "reasoning_nm": 59.881699413844295,
    "reasoning_definition": "所选点集的最大间距（整个颗粒）"
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   "source": "https://www.rcsb.org/structure/2FT1",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  },
  {
   "id": "FA-DEB-1CWP",
   "family": "debye_intensity",
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   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.248",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.027",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.22097374888662876"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.248",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 180；qRg = 1.90。",
     "is_correct": true,
     "absolute_error": "0.00002625111337124"
    },
    {
     "label": "C",
     "rule": "guinier_outside_range",
     "value": "0.300",
     "reason": "在 qRg = 1.90 > 1.3 处仍用 Guinier 近似。",
     "is_correct": false,
     "absolute_error": "0.05202625111337124"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_spread",
     "value": "0.669",
     "reason": "用 Guinier 近似，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.42102625111337124"
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   ],
   "excluded_candidates": [
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.264",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.248",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.244",
     "reason": "too close to the correct value"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.498",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.002",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.988",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.286",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "intensity_squared",
     "value": "0.061",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.466",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 180,
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    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
    "input_nm": 24.214936052981848,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
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   "source": "https://www.rcsb.org/structure/1CWP",
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   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
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  {
   "id": "FA-QDES-1CWP",
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   "ability": "design",
   "correct_label": "A",
   "numeric_answer": {
    "value": "0.117",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "0.117",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.00016672066202385"
    },
    {
     "label": "B",
     "rule": "dmax_sphere_root",
     "value": "0.150",
     "reason": "把颗粒当作直径等于最大尺寸的实心球。",
     "is_correct": false,
     "absolute_error": "0.03283327933797615"
    },
    {
     "label": "C",
     "rule": "target_as_amplitude",
     "value": "0.160",
     "reason": "把目标值当作振幅比（强度的平方根）求交点。",
     "is_correct": false,
     "absolute_error": "0.04283327933797615"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.210",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.09283327933797615"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.121",
     "reason": "too close to the correct value"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.118",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.117",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.119",
     "reason": "too close to the correct value"
    },
    {
     "rule": "reported_as_s",
     "value": "0.019",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.012",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_missing_one_third_root",
     "value": "0.070",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.153",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
    "achieved": 1
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   "rank_shortcuts": {
    "always_smallest": true,
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    "always_third": false,
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    "mirror_pair_cue": false
   },
   "checks": {
    "points": 180,
    "target": 0.5,
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    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 24.214936052981848,
    "reasoning_nm": 24.214936052981848,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1CWP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1CWP-chain-centroids.txt": "9847129d6f2614c250054d8ff7994d2d728662827b1ae836552ffc37e777b965"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DEB-1SVA",
   "family": "debye_intensity",
   "family_version": "0.3.0",
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   "correct_label": "C",
   "numeric_answer": {
    "value": "0.240",
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    "decimals": 3,
    "tolerance": "0.0005"
   },
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    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.025",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.21510999016303367"
    },
    {
     "label": "B",
     "rule": "intensity_squared",
     "value": "0.058",
     "reason": "把算出的强度当成振幅又平方了一次（与“振幅当强度”方向相反的混淆）。",
     "is_correct": false,
     "absolute_error": "0.18210999016303367"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.240",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 360；qRg = 1.92。",
     "is_correct": true,
     "absolute_error": "0.00010999016303367"
    },
    {
     "label": "D",
     "rule": "guinier_outside_range",
     "value": "0.293",
     "reason": "在 qRg = 1.92 > 1.3 处仍用 Guinier 近似。",
     "is_correct": false,
     "absolute_error": "0.05289000983696633"
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   ],
   "excluded_candidates": [
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.257",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_x",
     "value": "0.240",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.238",
     "reason": "too close to the correct value"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.490",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.002",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.988",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.288",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.458",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_spread",
     "value": "0.664",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 360,
    "q_per_nm": 0.09,
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    "q_rg": 1.9186023691407763,
    "dmax_nm": 42.917816189200494,
    "probe_length_nm": 69.81317007977319,
    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
    "input_nm": 42.917816189200494,
    "reasoning_nm": 42.917816189200494,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1SVA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1SVA-chain-centroids.txt": "a3a237f1d11e12d1e1a6018201c9d2051183b3ab2bf9dadefaf4817d6150dbbd"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-1SVA",
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   "family_version": "0.3.0",
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   "correct_label": "B",
   "numeric_answer": {
    "value": "0.0653",
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    "decimals": 4,
    "tolerance": "0.00005"
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    {
     "label": "A",
     "rule": "guinier_missing_one_third_root",
     "value": "0.0391",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.02617701196152694"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.0653",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.00002298803847306"
    },
    {
     "label": "C",
     "rule": "dmax_sphere_root",
     "value": "0.0846",
     "reason": "把颗粒当作直径等于最大尺寸的实心球。",
     "is_correct": false,
     "absolute_error": "0.01932298803847306"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.1172",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.05192298803847306"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.0676",
     "reason": "too close to the correct value"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.0659",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.0653",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.0672",
     "reason": "too close to the correct value"
    },
    {
     "rule": "target_as_amplitude",
     "value": "0.0889",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_as_s",
     "value": "0.0104",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.0065",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.0851",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 360,
    "target": 0.5,
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    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
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   "scales": {
    "input_nm": 42.917816189200494,
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    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/1SVA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
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  },
  {
   "id": "FA-DEB-2FT1",
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   "ability": "inference",
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   "numeric_answer": {
    "value": "0.282",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "guinier_missing_one_third",
     "value": "0.036",
     "reason": "用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。",
     "is_correct": false,
     "absolute_error": "0.24580063806927347"
    },
    {
     "label": "B",
     "rule": "intensity_squared",
     "value": "0.079",
     "reason": "把算出的强度当成振幅又平方了一次（与“振幅当强度”方向相反的混淆）。",
     "is_correct": false,
     "absolute_error": "0.20280063806927347"
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    {
     "label": "C",
     "rule": "correct",
     "value": "0.282",
     "reason": "Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = 420；qRg = 1.82。",
     "is_correct": true,
     "absolute_error": "0.00019936193072653"
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    {
     "label": "D",
     "rule": "guinier_outside_range",
     "value": "0.330",
     "reason": "在 qRg = 1.82 > 1.3 处仍用 Guinier 近似。",
     "is_correct": false,
     "absolute_error": "0.04819936193072653"
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   ],
   "excluded_candidates": [
    {
     "rule": "uniform_sphere_same_rg",
     "value": "0.297",
     "reason": "too close to the correct value"
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    {
     "rule": "single_orientation_x",
     "value": "0.282",
     "reason": "too close to the correct value"
    },
    {
     "rule": "without_self_terms",
     "value": "0.280",
     "reason": "too close to the correct value"
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    {
     "rule": "guinier_half_dmax_as_rg",
     "value": "0.283",
     "reason": "too close to the correct value"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.531",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "s_convention",
     "value": "0.006",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_divided_by_ten",
     "value": "0.989",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg",
     "value": "0.496",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "guinier_single_axis_spread",
     "value": "0.691",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 4,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 420,
    "q_per_nm": 0.065,
    "rg_nm": 28.068286991553844,
    "q_rg": 1.8244386544509998,
    "dmax_nm": 59.881699413844295,
    "probe_length_nm": 96.6643893412244,
    "limits": "等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。"
   },
   "scales": {
    "input_nm": 59.881699413844295,
    "reasoning_nm": 59.881699413844295,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/2FT1",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/2FT1-chain-centroids.txt": "180ae98cc1a45cbe92a6664e6ab007d17a24982bc3f36e1876c89bebf60206be"
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-QDES-2FT1",
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   "family_version": "0.3.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.0496",
    "unit": "nm^-1",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "reported_as_s",
     "value": "0.0079",
     "reason": "求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。",
     "is_correct": false,
     "absolute_error": "0.0416871839820812"
    },
    {
     "label": "B",
     "rule": "guinier_missing_one_third_root",
     "value": "0.0297",
     "reason": "用 Guinier 近似求 q，且指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.0198871839820812"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.0496",
     "reason": "Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 0.50 的 q。",
     "is_correct": true,
     "absolute_error": "0.0000128160179188"
    },
    {
     "label": "D",
     "rule": "guinier_single_axis_root",
     "value": "0.0890",
     "reason": "用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。",
     "is_correct": false,
     "absolute_error": "0.0394128160179188"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "guinier_root",
     "value": "0.0514",
     "reason": "too close to the correct value"
    },
    {
     "rule": "uniform_sphere_root",
     "value": "0.0501",
     "reason": "too close to the correct value"
    },
    {
     "rule": "single_orientation_root",
     "value": "0.0496",
     "reason": "too close to the correct value"
    },
    {
     "rule": "guinier_half_dmax_root",
     "value": "0.0482",
     "reason": "too close to the correct value"
    },
    {
     "rule": "target_as_amplitude",
     "value": "0.0676",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "dmax_sphere_root",
     "value": "0.0606",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "reported_per_angstrom",
     "value": "0.0050",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "sphere_radius_equals_rg_root",
     "value": "0.0647",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "points": 420,
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    "design_note": "设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。",
    "limits": "等权点散射体（约简表示）；非实测 SAXS。"
   },
   "scales": {
    "input_nm": 59.881699413844295,
    "reasoning_nm": 59.881699413844295,
    "reasoning_definition": "所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）"
   },
   "source": "https://www.rcsb.org/structure/2FT1",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/2FT1-chain-centroids.txt": "180ae98cc1a45cbe92a6664e6ab007d17a24982bc3f36e1876c89bebf60206be"
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   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-T-1CWP",
   "family": "capsid_architecture",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "3",
    "unit": "",
    "decimals": 0,
    "tolerance": "0.4"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "neighbouring_allowed_T_1",
     "value": "1",
     "reason": "相邻的允许三角剖分数 T=1；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "2"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "3",
     "reason": "N = 180 个 CP，T = N/60 = 3；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "C",
     "rule": "neighbouring_allowed_T_4",
     "value": "4",
     "reason": "相邻的允许三角剖分数 T=4；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "1"
    },
    {
     "label": "D",
     "rule": "neighbouring_allowed_T_7",
     "value": "7",
     "reason": "相邻的允许三角剖分数 T=7；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "4"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "neighbouring_allowed_T_9",
     "value": "9",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 180,
    "T": 3,
    "component": "CP",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
    "input_nm": 24.214936052981848,
    "reasoning_nm": 24.214936052981848,
    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
   },
   "source": "https://www.rcsb.org/structure/1CWP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/assemblies/1CWP-chain-centroids.txt": "9847129d6f2614c250054d8ff7994d2d728662827b1ae836552ffc37e777b965"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-CAPS-1CWP",
   "family": "capsid_architecture",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "32",
    "unit": "",
    "decimals": 0,
    "tolerance": "0.4"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "hexons_only",
     "value": "20",
     "reason": "只数了六邻体，漏掉 12 个五邻体。",
     "is_correct": false,
     "absolute_error": "12"
    },
    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "30",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "2"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "32",
     "reason": "N = 180 个 CP，T = N/60 = 3；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "D",
     "rule": "all_pentamers",
     "value": "36",
     "reason": "把所有亚基都当作五聚体。",
     "is_correct": false,
     "absolute_error": "4"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "pentons_only",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "copies_as_capsomers",
     "value": "180",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 1,
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "copies": 180,
    "T": 3,
    "component": "CP",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
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    "reasoning_definition": "整个外壳：所选组分点集的最大间距"
   },
   "source": "https://www.rcsb.org/structure/1CWP",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ASM-HEX-1CWP",
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    "decimals": 0,
    "tolerance": "0.4"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "20",
     "reason": "N = 180 个 CP，T = N/60 = 3；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "B",
     "rule": "all_hexamers",
     "value": "30",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "10"
    },
    {
     "label": "C",
     "rule": "all_capsomers",
     "value": "32",
     "reason": "把五邻体也算作六邻体。",
     "is_correct": false,
     "absolute_error": "12"
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    {
     "label": "D",
     "rule": "hexon_subunits",
     "value": "120",
     "reason": "报告了六邻体中的亚基数而非六邻体数。",
     "is_correct": false,
     "absolute_error": "100"
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   ],
   "excluded_candidates": [
    {
     "rule": "pentons_as_hexons",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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    "always_smallest": true,
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   "checks": {
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    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
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   },
   "source": "https://www.rcsb.org/structure/1CWP",
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   "input_hashes": {
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   "human_review": "pending",
   "catalog_admitted": false
  },
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   "id": "FA-ASM-T-2FT1",
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    "tolerance": "0.4"
   },
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     "label": "A",
     "rule": "neighbouring_allowed_T_3",
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     "reason": "相邻的允许三角剖分数 T=3；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "4"
    },
    {
     "label": "B",
     "rule": "neighbouring_allowed_T_4",
     "value": "4",
     "reason": "相邻的允许三角剖分数 T=4；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "3"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "7",
     "reason": "N = 420 个 gp5，T = N/60 = 7；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
    },
    {
     "label": "D",
     "rule": "neighbouring_allowed_T_9",
     "value": "9",
     "reason": "相邻的允许三角剖分数 T=9；与 N/60 不符。",
     "is_correct": false,
     "absolute_error": "2"
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   ],
   "excluded_candidates": [
    {
     "rule": "neighbouring_allowed_T_12",
     "value": "12",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
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    "mirror_pair_cue": false
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   "checks": {
    "copies": 420,
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    "component": "gp5",
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    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
   },
   "scales": {
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   "source": "https://www.rcsb.org/structure/2FT1",
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   "seed": "geobench-family-v1",
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  {
   "id": "FA-ASM-HEX-2FT1",
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     "label": "A",
     "rule": "correct",
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     "reason": "N = 420 个 gp5，T = N/60 = 7；五邻体 12 个，六邻体 10(T−1)。",
     "is_correct": true,
     "absolute_error": "0"
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     "label": "B",
     "rule": "all_hexamers",
     "value": "70",
     "reason": "把所有亚基都当作六聚体。",
     "is_correct": false,
     "absolute_error": "10"
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    {
     "label": "C",
     "rule": "all_capsomers",
     "value": "72",
     "reason": "把五邻体也算作六邻体。",
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     "label": "D",
     "rule": "hexon_subunits",
     "value": "360",
     "reason": "报告了六邻体中的亚基数而非六邻体数。",
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     "absolute_error": "300"
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     "rule": "pentons_as_hexons",
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     "reason": "valid but not selected (rank balance / plausibility)"
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   "rank_shortcuts": {
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   "checks": {
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    "component": "gp5",
    "relation": "Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)",
    "limits": "假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。"
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  {
   "id": "FA-ROT-7029-111",
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    "value": "5068.4",
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     "label": "A",
     "rule": "other_J1_level:101",
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     "reason": "能级标号对错：算成 1_01 ← 0_00 跃迁（B + C）。",
     "is_correct": false,
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     "label": "B",
     "rule": "linear_rotor_2B",
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     "reason": "套用线型分子公式 ν(J=1←0) = 2B，忽略了非对称陀螺 J = 1 能级按 K 分裂。",
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     "label": "C",
     "rule": "unrotated_tensor_diagonal",
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     "reason": "直接用输入坐标系中惯量张量的对角元当主转动惯量，没有对角化。",
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     "label": "D",
     "rule": "correct",
     "value": "5068.4",
     "reason": "质心 → 惯量张量 → Jacobi 对角化 → A、B、C → 1_11 ← 0_00 = A + C。",
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    {
     "rule": "origin_not_centre_of_mass",
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     "reason": "too close to the correct value"
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     "rule": "average_atomic_weights",
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     "rule": "four_pi_squared",
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     "rule": "hbar_instead_of_h",
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     "rule": "single_constant",
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     "rule": "polar_moment_as_I",
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     "reason": "valid but not selected (rank balance / plausibility)"
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     "rule": "equal_masses",
     "value": "34247.7",
     "reason": "valid but not selected (rank balance / plausibility)"
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     "rule": "heavy_atoms_only",
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     "reason": "valid but not selected (rank balance / plausibility)"
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     "rule": "other_J1_level:110",
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   "source": "QM7-X, Hoja et al., Sci. Data 8, 43 (2021) https://www.nature.com/articles/s41597-021-00812-2 ; data https://zenodo.org/records/4288677",
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   "id": "FA-ROT-G9-101",
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    "value": "1878.1",
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     "label": "A",
     "rule": "correct",
     "value": "1878.1",
     "reason": "质心 → 惯量张量 → Jacobi 对角化 → A、B、C → 1_01 ← 0_00 = B + C。",
     "is_correct": true,
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     "label": "B",
     "rule": "linear_rotor_2B",
     "value": "2017.1",
     "reason": "套用线型分子公式 ν(J=1←0) = 2B，忽略了非对称陀螺 J = 1 能级按 K 分裂。",
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     "label": "C",
     "rule": "other_J1_level:111",
     "value": "2181.9",
     "reason": "能级标号对错：算成 1_11 ← 0_00 跃迁（A + C）。",
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     "rule": "other_J1_level:110",
     "value": "2320.8",
     "reason": "能级标号对错：算成 1_10 ← 0_00 跃迁（A + B）。",
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     "rule": "unrotated_tensor_diagonal",
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     "rule": "four_pi_squared",
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     "rule": "hbar_instead_of_h",
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     "rule": "heavy_atoms_only",
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   "input_hashes": {
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   "id": "FA-ROT-G2-110",
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   "numeric_answer": {
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     "label": "A",
     "rule": "unrotated_tensor_diagonal",
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     "reason": "直接用输入坐标系中惯量张量的对角元当主转动惯量，没有对角化。",
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    {
     "label": "B",
     "rule": "correct",
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     "reason": "质心 → 惯量张量 → Jacobi 对角化 → A、B、C → 1_10 ← 0_00 = A + B。",
     "is_correct": true,
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     "label": "C",
     "rule": "heavy_atoms_only",
     "value": "2455.1",
     "reason": "只计重原子、忽略氢原子的贡献。",
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     "absolute_error": "730.8267822071806"
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     "label": "D",
     "rule": "four_pi_squared",
     "value": "3448.5",
     "reason": "转动常数写成 h/(4π²I)，结果大了一倍。",
     "is_correct": false,
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   ],
   "excluded_candidates": [
    {
     "rule": "average_atomic_weights",
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     "reason": "too close to the correct value"
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    {
     "rule": "other_J1_level:111",
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     "rule": "linear_rotor_2B",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "hbar_instead_of_h",
     "value": "10833.9",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "single_constant",
     "value": "1510.5",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "origin_not_centre_of_mass",
     "value": "539.2",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "polar_moment_as_I",
     "value": "392.7",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "equal_masses",
     "value": "5004.5",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "other_J1_level:101",
     "value": "420.1",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "principal_moments_u_A2": [
     334.57840302369635,
     2364.034299203752,
     2448.971834281667
    ],
    "rotational_constants_MHz": {
     "A": 1510.4950127508466,
     "B": 213.77820504197277,
     "C": 206.36374909133002
    },
    "line": "1_10 ← 0_00",
    "line_kind": "c-type",
    "ray_kappa": -0.9886292796480668,
    "trace_invariant": true,
    "h_over_8pi2_MHz_uA2": 505379.00914143614,
    "centre_of_mass_offset_A": 2.3293915453305627,
    "limits": "刚性转子、平衡几何（QM7-X 为 DFTB3+MBD 优化，SAMPL9 为挑战赛结构）；不含振动平均与离心畸变，与实测谱线可差约 1%；不评估该跃迁的偶极强度（c-type 跃迁需要相应的偶极分量）。"
   },
   "scales": {
    "input_nm": 1.1283189309765214,
    "reasoning_nm": 1.1283189309765214,
    "reasoning_definition": "整分子转动惯量：分子最大原子间距"
   },
   "source": "https://github.com/samplchallenges/SAMPL9",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/hostguest/WP6-G2.xyz": "453ad7241181b7ff1a185fa8774c79571d91f51c96af9a00f3d07feafb14183f"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ISO-7095-111",
   "family": "isotopologue_design",
   "family_version": "0.2.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "H15 (row 15)",
     "rule": "farthest_from_centre_of_mass",
     "reason": "离质心最远（4.02 Å），但谱线位移取决于到相应主轴的距离，不是到质心的距离。",
     "is_correct": false,
     "shift_MHz": -31.9878,
     "distance_from_centre_of_mass_A": 4.0224
    },
    {
     "label": "B",
     "value": "H12 (row 12)",
     "rule": "smaller_shift",
     "reason": "谱线位移 -37.62 MHz，小于正确项。",
     "is_correct": false,
     "shift_MHz": -37.6189,
     "distance_from_centre_of_mass_A": 1.7105
    },
    {
     "label": "C",
     "value": "H10 (row 10)",
     "rule": "correct",
     "reason": "取代后 1_11 ← 0_00 位移 -101.96 MHz，最大（第二名 -60.92 MHz）。",
     "is_correct": true,
     "shift_MHz": -101.956,
     "distance_from_centre_of_mass_A": 2.9632
    },
    {
     "label": "D",
     "value": "H14 (row 14)",
     "rule": "smaller_shift",
     "reason": "谱线位移 -60.92 MHz，小于正确项。",
     "is_correct": false,
     "shift_MHz": -60.9187,
     "distance_from_centre_of_mass_A": 3.531
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "line": "1_11 ← 0_00",
    "parent_line_MHz": 3554.9978139331006,
    "shifts_MHz": {
     "H10": -101.95599036958538,
     "H12": -37.61885319241446,
     "H14": -60.91866894692157,
     "H15": -31.98781182512539
    },
    "margin_ratio": 1.6736411371433546,
    "required_ratio": 1.15,
    "margin_MHz": 41.03732142266381,
    "required_MHz": 0.5,
    "shortcut_diagnostics": {
     "farthest_from_centre_of_mass_is_correct": false
    },
    "design_note": "设计选择：为替代法（Kraitchman）结构测定选择单氘代位点；设计 = 谱线推断的逆问题。",
    "limits": "刚性转子、几何不随同位素改变；不评估合成难度、谱线强度与超精细结构。"
   },
   "scales": {
    "input_nm": 0.7170415396946609,
    "reasoning_nm": 0.7170415396946609,
    "reasoning_definition": "整分子转动惯量：分子最大原子间距"
   },
   "source": "QM7-X, Hoja et al., Sci. Data 8, 43 (2021) https://www.nature.com/articles/s41597-021-00812-2 ; data https://zenodo.org/records/4288677",
   "license": "CC BY 4.0",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/molecules/QM7X-7095.xyz": "c6eb1449c24b1c043d212256aff8e24bd19fdd24db34345970873d14d8864ef7"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ISO-G9-110",
   "family": "isotopologue_design",
   "family_version": "0.2.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "H19 (row 19)",
     "rule": "farthest_from_centre_of_mass",
     "reason": "离质心最远（2.70 Å），但谱线位移取决于到相应主轴的距离，不是到质心的距离。",
     "is_correct": false,
     "shift_MHz": -21.0196,
     "distance_from_centre_of_mass_A": 2.698
    },
    {
     "label": "B",
     "value": "H22 (row 22)",
     "rule": "best_for_other_line:101",
     "reason": "对 1_01 ← 0_00 跃迁位移最大（-21.35 MHz），看错了谱线。",
     "is_correct": false,
     "shift_MHz": -20.8249,
     "distance_from_centre_of_mass_A": 2.6933
    },
    {
     "label": "C",
     "value": "H24 (row 24)",
     "rule": "best_for_other_line:111",
     "reason": "对 1_11 ← 0_00 跃迁位移最大（-24.18 MHz），看错了谱线。",
     "is_correct": false,
     "shift_MHz": -18.8057,
     "distance_from_centre_of_mass_A": 2.2787
    },
    {
     "label": "D",
     "value": "H20 (row 20)",
     "rule": "correct",
     "reason": "取代后 1_10 ← 0_00 位移 -28.72 MHz，最大（第二名 -21.02 MHz）。",
     "is_correct": true,
     "shift_MHz": -28.7155,
     "distance_from_centre_of_mass_A": 2.5382
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "line": "1_10 ← 0_00",
    "parent_line_MHz": 2320.7896086999945,
    "shifts_MHz": {
     "H19": -21.019565356401472,
     "H20": -28.715489367982627,
     "H22": -20.824913436003044,
     "H24": -18.805655920340996
    },
    "margin_ratio": 1.3661314532956017,
    "required_ratio": 1.15,
    "margin_MHz": 7.695924011581155,
    "required_MHz": 0.5,
    "shortcut_diagnostics": {
     "farthest_from_centre_of_mass_is_correct": false
    },
    "design_note": "设计选择：为替代法（Kraitchman）结构测定选择单氘代位点；设计 = 谱线推断的逆问题。",
    "limits": "刚性转子、几何不随同位素改变；不评估合成难度、谱线强度与超精细结构。"
   },
   "scales": {
    "input_nm": 0.6015038902617339,
    "reasoning_nm": 0.6015038902617339,
    "reasoning_definition": "整分子转动惯量：分子最大原子间距"
   },
   "source": "https://github.com/samplchallenges/SAMPL9",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/hostguest/WP6-G9.xyz": "4f510007fdb72c6f60bd585d06ad8659f8db25e5e7a71496f19d0183aa909194"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-ISO-G13-111",
   "family": "isotopologue_design",
   "family_version": "0.2.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "H18 (row 18)",
     "rule": "correct",
     "reason": "取代后 1_11 ← 0_00 位移 -73.09 MHz，最大（第二名 -21.04 MHz）。",
     "is_correct": true,
     "shift_MHz": -73.091,
     "distance_from_centre_of_mass_A": 2.3412
    },
    {
     "label": "B",
     "value": "H25 (row 25)",
     "rule": "best_for_single_constant:C",
     "reason": "只看转动常数 C 的变化时它最大（-4.52 MHz），忽略了谱线是两个常数之和。",
     "is_correct": false,
     "shift_MHz": -21.0353,
     "distance_from_centre_of_mass_A": 5.3803
    },
    {
     "label": "C",
     "value": "H27 (row 27)",
     "rule": "farthest_from_centre_of_mass",
     "reason": "离质心最远（5.39 Å），但谱线位移取决于到相应主轴的距离，不是到质心的距离。",
     "is_correct": false,
     "shift_MHz": -20.7735,
     "distance_from_centre_of_mass_A": 5.3929
    },
    {
     "label": "D",
     "value": "H23 (row 23)",
     "rule": "smaller_shift",
     "reason": "谱线位移 -20.95 MHz，小于正确项。",
     "is_correct": false,
     "shift_MHz": -20.9478,
     "distance_from_centre_of_mass_A": 5.3686
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "line": "1_11 ← 0_00",
    "parent_line_MHz": 3117.4913439985594,
    "shifts_MHz": {
     "H18": -73.09102700077165,
     "H23": -20.947761833834193,
     "H25": -21.035265012019863,
     "H27": -20.77350615495743
    },
    "margin_ratio": 3.4746900958464915,
    "required_ratio": 1.15,
    "margin_MHz": 52.05576198875178,
    "required_MHz": 0.5,
    "shortcut_diagnostics": {
     "farthest_from_centre_of_mass_is_correct": false
    },
    "design_note": "设计选择：为替代法（Kraitchman）结构测定选择单氘代位点；设计 = 谱线推断的逆问题。",
    "limits": "刚性转子、几何不随同位素改变；不评估合成难度、谱线强度与超精细结构。"
   },
   "scales": {
    "input_nm": 1.075993373585544,
    "reasoning_nm": 1.075993373585544,
    "reasoning_definition": "整分子转动惯量：分子最大原子间距"
   },
   "source": "https://github.com/samplchallenges/SAMPL9",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/hostguest/WP6-G13.xyz": "be16840126bb87d9cafd4eb46d4a6ad044f97634f6b6eb0ed8c2cc764ed23d37"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DIST-6LYZ-SS30",
   "family": "named_bond_distance",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "2.042",
    "unit": "angstrom",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "other_bond:SG(Cys115)-CB(Cys115)",
     "value": "1.821",
     "reason": "量成 SG(Cys115) 的另一根键（到 CB(Cys115)）。",
     "is_correct": false,
     "absolute_error": "0.221311680424905"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "2.042",
     "reason": "两指定原子的欧氏距离；另以 Decimal 实现复核。",
     "is_correct": true,
     "absolute_error": "0.000311680424905"
    },
    {
     "label": "C",
     "rule": "covalent_radii_sum",
     "value": "2.100",
     "reason": "用共价半径之和估计，没有测量这一结构。",
     "is_correct": false,
     "absolute_error": "0.057688319575095"
    },
    {
     "label": "D",
     "rule": "one_bond_too_far:SG(Cys30)-CB(Cys115)",
     "value": "3.112",
     "reason": "多数了一根键：量成 SG(Cys30) 到 SG(Cys115) 之外的 CB(Cys115) 的距离。",
     "is_correct": false,
     "absolute_error": "1.069688319575095"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "typical_value",
     "value": "2.050",
     "reason": "too close to the correct value"
    },
    {
     "rule": "bohr_units",
     "value": "3.859",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "other_bond:SG(Cys30)-CB(Cys30)",
     "value": "1.820",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "one_bond_too_far:SG(Cys115)-CB(Cys30)",
     "value": "3.107",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "bonded": true,
    "bond_rule": "covalent radii sum × 1.2",
    "float_A": 2.042311680424905,
    "decimal_A": 2.042311680424905,
    "limits": "单一结构中的键长；不据此单独判定成键状态或键级。"
   },
   "scales": {
    "input_nm": 0.8479074006045707,
    "reasoning_nm": 0.2042311680424905,
    "reasoning_definition": "两成键原子间距"
   },
   "source": "https://www.rcsb.org/structure/6LYZ",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNP008",
   "input_hashes": {
    "assets/bio/6LYZ.pdb": "7a6b2e491466b965469fc7ea5ecf7ac816707703244716eb6cc7b473232f2fe0"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DIST-1CRN-SS16",
   "family": "named_bond_distance",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "2.051",
    "unit": "angstrom",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "other_bond:SG(Cys16)-CB(Cys16)",
     "value": "1.813",
     "reason": "量成 SG(Cys16) 的另一根键（到 CB(Cys16)）。",
     "is_correct": false,
     "absolute_error": "0.237763028728576"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "2.051",
     "reason": "两指定原子的欧氏距离；另以 Decimal 实现复核。",
     "is_correct": true,
     "absolute_error": "0.000236971271424"
    },
    {
     "label": "C",
     "rule": "one_bond_too_far:SG(Cys26)-CB(Cys16)",
     "value": "3.013",
     "reason": "多数了一根键：量成 SG(Cys26) 到 SG(Cys16) 之外的 CB(Cys16) 的距离。",
     "is_correct": false,
     "absolute_error": "0.962236971271424"
    },
    {
     "label": "D",
     "rule": "one_bond_too_far:SG(Cys16)-CB(Cys26)",
     "value": "3.033",
     "reason": "多数了一根键：量成 SG(Cys16) 到 SG(Cys26) 之外的 CB(Cys26) 的距离。",
     "is_correct": false,
     "absolute_error": "0.982236971271424"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "typical_value",
     "value": "2.050",
     "reason": "too close to the correct value"
    },
    {
     "rule": "covalent_radii_sum",
     "value": "2.100",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bohr_units",
     "value": "3.875",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "other_bond:SG(Cys26)-CB(Cys26)",
     "value": "1.817",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "bonded": true,
    "bond_rule": "covalent radii sum × 1.2",
    "float_A": 2.050763028728576,
    "decimal_A": 2.0507630287285754,
    "limits": "单一结构中的键长；不据此单独判定成键状态或键级。"
   },
   "scales": {
    "input_nm": 0.788214780373979,
    "reasoning_nm": 0.20507630287285758,
    "reasoning_definition": "两成键原子间距"
   },
   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNP010",
   "input_hashes": {
    "assets/bio/1CRN.pdb": "42199a30a0701864a2a5cc76cd7f35cc544cd0e65fbcf63e03c166543249b811"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DIST-WP6-C20O22",
   "family": "named_bond_distance",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "1.272",
    "unit": "angstrom",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "1.272",
     "reason": "两指定原子的欧氏距离；另以 Decimal 实现复核。",
     "is_correct": true,
     "absolute_error": "0.000432316471096"
    },
    {
     "label": "B",
     "rule": "other_bond:C20-C14",
     "value": "1.554",
     "reason": "量成 C20 的另一根键（到 C14）。",
     "is_correct": false,
     "absolute_error": "0.281567683528904"
    },
    {
     "label": "C",
     "rule": "one_bond_too_far:O22-C14",
     "value": "2.414",
     "reason": "多数了一根键：量成 O22 到 C20 之外的 C14 的距离。",
     "is_correct": false,
     "absolute_error": "1.141567683528904"
    },
    {
     "label": "D",
     "rule": "nearest_nonbonded_same_element",
     "value": "2.503",
     "reason": "量到最近的另一个同种元素原子（O12，未成键）。",
     "is_correct": false,
     "absolute_error": "1.230567683528904"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "other_bond:C20-O24",
     "value": "1.273",
     "reason": "too close to the correct value"
    },
    {
     "rule": "covalent_radii_sum",
     "value": "1.420",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bohr_units",
     "value": "2.405",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "one_bond_too_far:O22-O24",
     "value": "2.269",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "bonded": true,
    "bond_rule": "covalent radii sum × 1.2",
    "float_A": 1.272432316471096,
    "decimal_A": 1.2724323164710962,
    "limits": "单一结构中的键长；不据此单独判定成键状态或键级。"
   },
   "scales": {
    "input_nm": 1.8273362306920968,
    "reasoning_nm": 0.1272432316471096,
    "reasoning_definition": "两成键原子间距"
   },
   "source": "https://github.com/samplchallenges/SAMPL9/blob/22aa2df3a086f5f0ca49dab8f8d75e5e0305445b/host_guest/WP6/host_files/WP6.pdb",
   "license": "SAMPL9 repository (MIT)",
   "legacy_qa": "CNP003",
   "input_hashes": {
    "assets/qa/WP6.xyz": "b4338f98c9bcd0743062a2c0c733bd37a6e3ccf87d5e9b0ed2d127eb034d68a0"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-SI",
   "family": "coordination_shell",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "1 at 2.352 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "12 at 2.352 Å",
     "rule": "mixed_shells",
     "reason": "距离取最近壳层，个数却取第二壳层。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "4 at 2.352 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：4 个，距离 2.3516 Å。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "12 at 3.840 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "16 at 2.352 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "centre_row": 1,
    "shells": [
     {
      "distance_A": 2.351562,
      "count": 4
     },
     {
      "distance_A": 3.840085,
      "count": 12
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     {
      "distance_A": 4.502899,
      "count": 12
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    ],
    "in_cell_count": 1,
    "shell_tolerance_A": 0.001,
    "a_A": 5.4307,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.5430699999999999,
    "reasoning_nm": 0.38400847965897833,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
   },
   "source": "https://www.crystallography.net/cod/9008565.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNP001",
   "input_hashes": {
    "assets/materials/9008565.cif": "46fb44ccdf93d1c3c1ecbe5b04ab0dea28c786bac20467b3a7511199af50e386"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-NACL-CL",
   "family": "coordination_shell",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "12 at 3.988 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "8 at 4.885 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "3 at 2.820 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "6 at 2.820 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：6 个，距离 2.8203 Å。",
     "is_correct": true
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   ],
   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "14 at 2.820 Å",
     "reason": "有效但未选（可信度排序）"
    },
    {
     "rule": "mixed_shells",
     "value": "8 at 2.820 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "centre_row": 1,
    "shells": [
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     {
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     {
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    ],
    "in_cell_count": 3,
    "shell_tolerance_A": 0.001,
    "a_A": 5.64056,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.564056,
    "reasoning_nm": 0.564056,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
   },
   "source": "https://www.crystallography.net/cod/9008678.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNP002",
   "input_hashes": {
    "assets/materials/9008678.cif": "f6719e52179a49082ab777a772f08ae22000d738d08b45e73c801c40e81752b1"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-NACL-NA",
   "family": "coordination_shell",
   "family_version": "0.3.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "12 at 3.988 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：12 个，距离 3.9885 Å。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "3 at 3.988 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "6 at 5.641 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "6 at 3.988 Å",
     "rule": "mixed_shells",
     "reason": "距离取最近壳层，个数却取第二壳层。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "18 at 3.988 Å",
     "reason": "有效但未选（可信度排序）"
    }
   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "centre_row": 1,
    "shells": [
     {
      "distance_A": 3.988478,
      "count": 12
     },
     {
      "distance_A": 5.64056,
      "count": 6
     },
     {
      "distance_A": 6.908247,
      "count": 24
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    ],
    "in_cell_count": 3,
    "shell_tolerance_A": 0.001,
    "a_A": 5.64056,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.564056,
    "reasoning_nm": 0.7976956451379185,
    "reasoning_definition": "中心原子与最近壳层全部原子的最大间距"
   },
   "source": "https://www.crystallography.net/cod/9008678.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-SI",
   "family": "first_diffraction_peak",
   "family_version": "0.3.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "28.44",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "theta_not_two_theta",
     "value": "14.22",
     "reason": "报告了 θ 而非 2θ。",
     "is_correct": false,
     "absolute_error": "14.223705904996648"
    },
    {
     "label": "B",
     "rule": "lowest_index_ignoring_extinction",
     "value": "16.31",
     "reason": "取最低指数反射 (1 0 0)，未检查它是否消光。",
     "is_correct": false,
     "absolute_error": "12.133705904996648"
    },
    {
     "label": "C",
     "rule": "assumed_lattice_rule:I",
     "value": "23.14",
     "reason": "按体心晶格规则判断，得到 (1 1 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "5.303705904996648"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "28.44",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 3.13542 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.003705904996648"
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   ],
   "excluded_candidates": [
    {
     "rule": "assumed_lattice_rule:P",
     "value": "16.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "second_allowed_peak",
     "value": "47.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "16.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bragg_missing_factor_two",
     "value": "58.86",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "strongest_not_first",
     "value": "47.31",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "index_sum_for_root",
     "value": "50.37",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 1 1)",
    "d_A": 3.135416106888101,
    "relative_amplitude": 0.707107,
    "skipped_extinct": [
     "(1 0 0)",
     "(1 1 0)"
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    "wavelength_A": 1.5406,
    "a_A": 5.4307,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 0.5430699999999999,
    "reasoning_nm": 0.3135416106888101,
    "reasoning_definition": "答案反射的晶面间距 d"
   },
   "source": "https://www.crystallography.net/cod/9008565.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNI001",
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-DIAMOND",
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   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": {
    "value": "43.93",
    "unit": "degree",
    "decimals": 2,
    "tolerance": "0.005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "43.93",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 2.05929 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00263657780445"
    },
    {
     "label": "B",
     "rule": "strongest_not_first",
     "value": "75.30",
     "reason": "把最强的反射 (2 2 0) 当作第一个峰（混淆了强度与出现角度）。",
     "is_correct": false,
     "absolute_error": "31.36736342219555"
    },
    {
     "label": "C",
     "rule": "index_sum_for_root",
     "value": "80.77",
     "reason": "立方面间距公式把 √(h²+k²+l²) 写成 h+k+l。",
     "is_correct": false,
     "absolute_error": "36.83736342219555"
    },
    {
     "label": "D",
     "rule": "bragg_missing_factor_two",
     "value": "96.86",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
     "absolute_error": "52.92736342219555"
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   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "24.94",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "assumed_lattice_rule:P",
     "value": "24.94",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "assumed_lattice_rule:I",
     "value": "35.57",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "theta_not_two_theta",
     "value": "21.97",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "second_allowed_peak",
     "value": "75.30",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "24.94",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 1 1)",
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    "relative_amplitude": 0.707107,
    "skipped_extinct": [
     "(1 0 0)",
     "(1 1 0)"
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    "wavelength_A": 1.5406,
    "a_A": 3.56679,
    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 0.356679,
    "reasoning_nm": 0.20592871666428655,
    "reasoning_definition": "答案反射的晶面间距 d"
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   "source": "https://www.crystallography.net/cod/9008564.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EXT-SI",
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   "option_audit": [
    {
     "label": "A",
     "value": "(1 1 1)",
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     "reason": "按“体心 I：h+k+l 为奇数消光”会判为消光，但本结构实际坐标给出非零 |F|。",
     "is_correct": false,
     "relative_amplitude": 0.70710678,
     "mechanisms": [
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    },
    {
     "label": "B",
     "value": "(2 0 0)",
     "rule": "correct",
     "reason": "由表中全部原子坐标求和，|F|/F000 ≤ 1e-6。",
     "is_correct": true,
     "relative_amplitude": 0.0,
     "mechanisms": []
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    {
     "label": "C",
     "value": "(3 1 1)",
     "rule": "wrong_rule:I",
     "reason": "按“体心 I：h+k+l 为奇数消光”会判为消光，但本结构实际坐标给出非零 |F|。",
     "is_correct": false,
     "relative_amplitude": 0.70710678,
     "mechanisms": [
      "wrong_rule:I"
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    },
    {
     "label": "D",
     "value": "(2 2 0)",
     "rule": "allowed_generic",
     "reason": "普通允许反射，非零。",
     "is_correct": false,
     "relative_amplitude": 1.0,
     "mechanisms": [
      "allowed_generic"
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
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    "extinction_origin": "basis_or_glide",
    "zero_threshold": 1e-06,
    "clear_threshold": 0.05,
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    "extinct_pool": [
     "(1 0 0)",
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     "(2 0 0)",
     "(2 1 0)",
     "(2 1 1)",
     "(2 2 1)",
     "(2 2 2)",
     "(3 0 0)",
     "(3 1 0)",
     "(3 2 0)",
     "(3 2 1)",
     "(3 2 2)",
     "(3 3 0)",
     "(4 1 0)",
     "(4 1 1)",
     "(4 2 0)"
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    "rule_shortcuts": {
     "P": {
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      "uniquely_correct": false
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     "I": {
      "predicted_absent": [
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       "C"
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      "uniquely_correct": false
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     "F": {
      "predicted_absent": [],
      "uniquely_correct": false
     },
     "F+d": {
      "predicted_absent": [
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      "uniquely_correct": true
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    },
    "limits": "零角度原子序数权重的运动学模型；不含原子散射因子角度依赖、热振动或多重散射。"
   },
   "scales": {
    "input_nm": 0.5430699999999999,
    "reasoning_nm": 0.5430699999999999,
    "reasoning_definition": "晶胞边长 a：相位求和跨越整个晶胞"
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   "source": "https://www.crystallography.net/cod/9008565.html",
   "license": "COD (public domain)",
   "legacy_qa": "MNI002",
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-GUIN-1UBQ",
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   "ability": "inference",
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    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
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     "label": "A",
     "rule": "missing_one_third",
     "value": "0.709",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.1827428107907023"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.892",
     "reason": "等权 Rg = 1.1726 nm，qRg = 0.586 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0002571892092977"
    },
    {
     "label": "C",
     "rule": "amplitude_not_intensity",
     "value": "0.944",
     "reason": "报告了散射振幅比（强度的平方根）而非强度比。",
     "is_correct": false,
     "absolute_error": "0.0522571892092977"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.960",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.0682571892092977"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "first_order_expansion",
     "value": "0.885",
     "reason": "too close to the correct value"
    },
    {
     "rule": "half_dmax_as_rg",
     "value": "0.668",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "linear_in_q",
     "value": "0.822",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.999",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 1.1725741768612346,
    "q_per_nm": 0.5,
    "q_rg": 0.5862870884306173,
    "dmax_nm": 4.399029916924866,
    "atoms": 602,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 4.399029916924866,
    "reasoning_nm": 4.399029916924866,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNI001",
   "input_hashes": {
    "assets/bio/1UBQ.pdb": "d4a6812d8951cf6594e6a0763f089e35f5a80b62acb3c117b2c5565228a7b161"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-GUIN-1CRN",
   "family": "guinier_intensity",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.925",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "missing_one_third",
     "value": "0.792",
     "reason": "指数中漏掉 1/3。",
     "is_correct": false,
     "absolute_error": "0.1330900211637343"
    },
    {
     "label": "B",
     "rule": "half_dmax_as_rg",
     "value": "0.830",
     "reason": "把最大尺寸的一半当作回转半径。",
     "is_correct": false,
     "absolute_error": "0.0950900211637343"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.925",
     "reason": "等权 Rg = 0.9666 nm，qRg = 0.483 ≤ 1.3，I/I0 = exp(−q²Rg²/3)。",
     "is_correct": true,
     "absolute_error": "0.0000900211637343"
    },
    {
     "label": "D",
     "rule": "single_axis_spread_as_rg",
     "value": "0.969",
     "reason": "把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。",
     "is_correct": false,
     "absolute_error": "0.0439099788362657"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "first_order_expansion",
     "value": "0.922",
     "reason": "too close to the correct value"
    },
    {
     "rule": "linear_in_q",
     "value": "0.851",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "amplitude_not_intensity",
     "value": "0.962",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "q_unit_conversion",
     "value": "0.999",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 3,
    "achieved": 3
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "rg_nm": 0.9666285286168808,
    "q_per_nm": 0.5,
    "q_rg": 0.4833142643084404,
    "dmax_nm": 2.9920931903936414,
    "atoms": 327,
    "limits": "等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。"
   },
   "scales": {
    "input_nm": 2.9920931903936414,
    "reasoning_nm": 2.9920931903936414,
    "reasoning_definition": "整个分子：最大原子间距"
   },
   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1CRN.pdb": "42199a30a0701864a2a5cc76cd7f35cc544cd0e65fbcf63e03c166543249b811"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-FRET-1BNA",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.480",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "path_length_distance",
     "value": "0.063",
     "reason": "用沿链骨架标记原子（C1'）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.41690262576904674"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.480",
     "reason": "r = 3.5472 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.00009737423095326"
    },
    {
     "label": "C",
     "rule": "complement",
     "value": "0.520",
     "reason": "报告了 1−E（供体保留的比例）。",
     "is_correct": false,
     "absolute_error": "0.04009737423095326"
    },
    {
     "label": "D",
     "rule": "closest_atom_pair",
     "value": "0.693",
     "reason": "用两残基间最近的重原子对距离（3.056 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.21309737423095326"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "inverse_square_law",
     "value": "0.493",
     "reason": "too close to the correct value"
    },
    {
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "too close to the correct value"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 3.5472350485977104,
    "R0_nm": 3.5,
    "path_length_nm": 5.483556685648028,
    "efficiency": 0.47990262576904674,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 3.9314170333354364,
    "reasoning_nm": 3.5472350485977104,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1BNA",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNI002",
   "input_hashes": {
    "assets/bio/1BNA.pdb": "df42f1506792f191b957227b061360652adcf6f813eb69d9ec553067ea584670"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FC-BNP002-1UBQ",
   "family": "extent_choice_v2",
   "family_version": "0.3.1",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "11.4929",
    "unit": "angstrom",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "mean_radius",
     "value": "11.0116",
     "reason": "用中心距算术平均替代均方根。",
     "is_correct": false,
     "absolute_error": "0.4812948762076885982043029822"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "11.4929",
     "reason": "template_engine 定义计算，并以十进制实现复核。",
     "is_correct": true,
     "absolute_error": "0.000005123792311401795697017754342"
    },
    {
     "label": "C",
     "rule": "n_minus_one",
     "value": "11.5693",
     "reason": "用 N−1 作分母（样本方差习惯），不是题目定义。",
     "is_correct": false,
     "absolute_error": "0.07640512379231140179569701775"
    },
    {
     "label": "D",
     "rule": "maximum_radius",
     "value": "23.5565",
     "reason": "用最大中心距（“半径”）替代回转半径。",
     "is_correct": false,
     "absolute_error": "12.06360512379231140179569702"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "mass_weighted",
     "value": "11.4929",
     "reason": "too close to the correct value"
    },
    {
     "rule": "heavy_atoms_only",
     "value": "11.4929",
     "reason": "too close to the correct value"
    },
    {
     "rule": "mean_pair_distance",
     "value": "15.2217",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rms_pair_distance",
     "value": "16.3614",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "diameter_for_radius",
     "value": "22.9858",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "float_value": 11.492894876207687,
    "decimal_crosscheck": "11.4928948762076885982043029822456584730769901",
    "legacy_reference": 11.4929,
    "legacy_agreement": true
   },
   "scales": {
    "input_nm": 3.706348409148822,
    "reasoning_nm": 3.706348409148822,
    "reasoning_definition": "全局点集：最大点对间距"
   },
   "source": "https://www.rcsb.org/structure/1UBQ",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNP002",
   "input_hashes": {
    "assets/qa/BNP002-S0006.xyz": "4b9475ab3aa48ca6bb34eb86add11e15c6bc0e3fd9b1c86688266efe52ca1e40"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FC-BNP002-1CRN",
   "family": "extent_choice_v2",
   "family_version": "0.3.1",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "9.6755",
    "unit": "angstrom",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "9.6755",
     "reason": "template_engine 定义计算，并以十进制实现复核。",
     "is_correct": true,
     "absolute_error": "0.000001269332480550829372502630902"
    },
    {
     "label": "B",
     "rule": "n_minus_one",
     "value": "9.7824",
     "reason": "用 N−1 作分母（样本方差习惯），不是题目定义。",
     "is_correct": false,
     "absolute_error": "0.1068987306675194491706274974"
    },
    {
     "label": "C",
     "rule": "rms_pair_distance",
     "value": "13.8344",
     "reason": "用点对公式但漏了因子 1/2（Rg² = Σd²/2N²），约得 √2·Rg。",
     "is_correct": false,
     "absolute_error": "4.158898730667519449170627497"
    },
    {
     "label": "D",
     "rule": "maximum_radius",
     "value": "15.2732",
     "reason": "用最大中心距（“半径”）替代回转半径。",
     "is_correct": false,
     "absolute_error": "5.597698730667519449170627497"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "mass_weighted",
     "value": "9.6755",
     "reason": "too close to the correct value"
    },
    {
     "rule": "heavy_atoms_only",
     "value": "9.6755",
     "reason": "too close to the correct value"
    },
    {
     "rule": "mean_pair_distance",
     "value": "12.7904",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "mean_radius",
     "value": "9.2221",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "diameter_for_radius",
     "value": "19.3510",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "float_value": 9.67550126933248,
    "decimal_crosscheck": "9.67550126933248055082937250263090241092385220",
    "legacy_reference": 9.6755,
    "legacy_agreement": true
   },
   "scales": {
    "input_nm": 2.9021859140999218,
    "reasoning_nm": 2.9021859140999218,
    "reasoning_definition": "全局点集：最大点对间距"
   },
   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/qa/BNP002-S0007.xyz": "377dc347f71aea53e639164ef51b40c2b08148f43372077ffcd5f3dfcfb56304"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FC-BNP001-1CRN",
   "family": "extent_choice_v2",
   "family_version": "0.3.1",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "29.0219",
    "unit": "angstrom",
    "decimals": 4,
    "tolerance": "0.00005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "radius_as_extent",
     "value": "9.6755",
     "reason": "把等权回转半径误当最大点对间距（混淆两种尺寸量）。",
     "is_correct": false,
     "absolute_error": "19.34635914099922027943178762"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "29.0219",
     "reason": "template_engine 定义计算，并以十进制实现复核。",
     "is_correct": true,
     "absolute_error": "0.00004085900077972056821238446042"
    },
    {
     "label": "C",
     "rule": "with_vdw_radii",
     "value": "32.4219",
     "reason": "给最远点对两端再加范德华半径，报告“分子外形尺寸”而非点集最大间距。",
     "is_correct": false,
     "absolute_error": "3.400040859000779720568212384"
    },
    {
     "label": "D",
     "rule": "bounding_box_diagonal",
     "value": "37.0145",
     "reason": "用坐标轴对齐包围盒对角线代替实际最大点对间距（前者 ≥ 后者）。",
     "is_correct": false,
     "absolute_error": "7.992640859000779720568212384"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "heavy_atoms_only",
     "value": "29.0219",
     "reason": "too close to the correct value"
    },
    {
     "rule": "mean_pair_distance",
     "value": "12.7904",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "rms_pair_distance",
     "value": "13.8344",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "centroid_diameter",
     "value": "30.5465",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "first_last_rows",
     "value": "11.8096",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "largest_axis_span",
     "value": "24.8540",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "two_largest_radii",
     "value": "29.2594",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "float_value": 29.02185914099922,
    "decimal_crosscheck": "29.0218591409992202794317876155395787693061823",
    "legacy_reference": 29.0219,
    "legacy_agreement": true
   },
   "scales": {
    "input_nm": 2.9021859140999218,
    "reasoning_nm": 2.9021859140999218,
    "reasoning_definition": "全局点集：最大点对间距"
   },
   "source": "https://www.rcsb.org/structure/1CRN",
   "license": "wwPDB (CC0)",
   "legacy_qa": "BNP001",
   "input_hashes": {
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   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-HBG-TWO-OO",
   "family": "hbond_geometry",
   "family_version": "0.1.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "2.538",
    "unit": "angstrom",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "h_acceptor_instead",
     "value": "1.611",
     "reason": "量成 H···A 距离，而不是给体与受体两个重原子之间的距离。",
     "is_correct": false,
     "absolute_error": "0.9271167309641217"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "2.538",
     "reason": "按指定原子直接计算；成键关系由共价半径规则确认。",
     "is_correct": true,
     "absolute_error": "0.0001167309641217"
    },
    {
     "label": "C",
     "rule": "path_through_h",
     "value": "2.614",
     "reason": "沿 D–H 与 H···A 两段折线相加，当成给体–受体距离。",
     "is_correct": false,
     "absolute_error": "0.0758832690358783"
    },
    {
     "label": "D",
     "rule": "other_acceptor:N11",
     "value": "4.153",
     "reason": "量到了另一个杂原子 N11（不是题目指定的受体）。",
     "is_correct": false,
     "absolute_error": "1.6148832690358783"
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   ],
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    {
     "rule": "covalent_d_h",
     "value": "1.003",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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   "checks": {
    "contact": "O6–H5···O14",
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   },
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   "legacy_qa": "HBP001",
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   "id": "FA-HBG-FIVE-HN",
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    {
     "label": "A",
     "rule": "linear_assumption",
     "value": "1.757",
     "reason": "假设氢键是直线：用 D···A 减去 D–H 键长。",
     "is_correct": false,
     "absolute_error": "0.1694779391417903"
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    {
     "label": "B",
     "rule": "correct",
     "value": "1.926",
     "reason": "按指定原子直接计算；成键关系由共价半径规则确认。",
     "is_correct": true,
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    {
     "label": "C",
     "rule": "donor_acceptor_instead",
     "value": "2.734",
     "reason": "量成给体与受体重原子之间的距离，而不是 H···A。",
     "is_correct": false,
     "absolute_error": "0.8075220608582097"
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    {
     "label": "D",
     "rule": "other_acceptor:O10",
     "value": "3.582",
     "reason": "量到了另一个杂原子 O10（不是题目指定的受体）。",
     "is_correct": false,
     "absolute_error": "1.6555220608582097"
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   ],
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    {
     "rule": "covalent_d_h",
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   ],
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   "checks": {
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   "scales": {
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    {
     "label": "B",
     "rule": "angle_at_donor",
     "value": "34.9",
     "reason": "把顶点放在给体 N3 上（H–D···A 角），而不是氢上。",
     "is_correct": false,
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    {
     "label": "C",
     "rule": "correct",
     "value": "128.6",
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     "label": "D",
     "rule": "acceptor_side:H14",
     "value": "149.8",
     "reason": "量成受体一侧的 H···O13–H14 角。",
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    {
     "rule": "supplement",
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    {
     "rule": "acceptor_side:C8",
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   "checks": {
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    "candidates": [
     {
      "text": "O6–H5···O14 in conformer TWO",
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     {
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     {
      "text": "N11–H13···O14 in conformer TWO",
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      "roles": "amide NH2 nitrogen → carbonyl oxygen (C=O)"
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     {
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    "limits": "几何判据是题设的操作定义；不据此判断氢键能量或光谱位移。"
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     "reason": "给体与受体只相距 2.27 Å，但 H···A 2.46 Å、角度 67.7°：氢没有指向受体（只看重原子距离会误选）。",
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      "roles": "amide NH2 nitrogen → hydroxyl oxygen (OH)"
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    "limits": "几何判据是题设的操作定义；不据此判断氢键能量或光谱位移。"
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    "reasoning_definition": "候选接触中最大的给体–受体或氢–受体距离"
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     "rule": "heavy_atoms_only",
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    {
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     "reason": "B 处沿给定路径方向的导数 = −Σ F_i(B)·(路径方向位移)；十进制与浮点实现一致。",
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   "checks": {
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   },
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   "source": "QM7-X, Hoja et al., Sci. Data 8, 43 (2021) https://www.nature.com/articles/s41597-021-00812-2 ; data https://zenodo.org/records/4288677",
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    {
     "label": "B",
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     "value": "-0.6163",
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     "rule": "abs_projection_sum",
     "value": "5.4891",
     "reason": "逐原子取投影绝对值后相加，丢失相互抵消。",
     "is_correct": false,
     "absolute_error": "10.53142226459900"
    },
    {
     "label": "D",
     "rule": "magnitude_product",
     "value": "9.5279",
     "reason": "只乘力与位移的模长，忽略夹角。",
     "is_correct": false,
     "absolute_error": "14.57022226459900"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "sign_convention",
     "value": "5.0423",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "trapezoid_energy_estimate",
     "value": "-2.5212",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "decimal_projection_S_eV": "-5.04232226459900",
    "float_projection_S_eV": -5.042322264599,
    "derivative_eV": "-5.04232226459900",
    "direction": "B_to_A",
    "atom_order_consistent": true,
    "source_ids": [
     "Geom-m7040-i1-c1-opt",
     "Geom-m7040-i1-c1-d2"
    ],
    "force_key": "totFOR",
    "limits": "局部方向导数，不是 E(B)−E(A)，也不证明 A 是 PBE0+MBD 极小点。"
   },
   "scales": {
    "input_nm": 0.573191656927541,
    "reasoning_nm": 0.573191656927541,
    "reasoning_definition": "全部原子参与：B 的最大原子间距"
   },
   "source": "QM7-X, Hoja et al., Sci. Data 8, 43 (2021) https://www.nature.com/articles/s41597-021-00812-2 ; data https://zenodo.org/records/4288677",
   "license": "CC BY 4.0",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/force-path/QM7X-7040-c1-d2.json": "7d05f071985a0b6e6b982cc895b9923f6799293eff81490a4fe36a0422ca86e0"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-CAO-COHERENCE",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Mean carrier spacing ≈ 8.2 nm. The coherence length is many times this spacing, as in a conventional weak-coupling BCS superconductor in which each pair overlaps many others.",
     "rule": "total_gate_density+weak_coupling_bcs",
     "reason": "数值来自错误做法（用栅极诱导的总密度 |n|（从电中性点算起）求间距，忽略了量子振荡显示真正参与的只是从半填充算起的 n′。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "B",
     "value": "Mean carrier spacing ≈ 25.8 nm. The coherence length is many times this spacing, as in a conventional weak-coupling BCS superconductor in which each pair overlaps many others.",
     "rule": "weak_coupling_bcs",
     "reason": "数值正确，但结论是原文排除的解释：原文据 ξ 与粒子间距同量级判断为强耦合、接近 BCS-BEC 交叉；弱耦合 BCS 的结论与之相反。（Discussion (p. 8-9): Tc/TF and ξ vs spacing place MA-TBG far from weak-coupling BCS）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Mean carrier spacing ≈ 8.2 nm. The coherence length is only about twice this spacing, so a pair is hardly larger than the distance between carriers: MA-TBG is a strong-coupling superconductor close to the BCS-BEC crossover.",
     "rule": "total_gate_density",
     "reason": "结论措辞取自原文，但数值来自错误做法：用栅极诱导的总密度 |n|（从电中性点算起）求间距，忽略了量子振荡显示真正参与的只是从半填充算起的 n′。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "Mean carrier spacing ≈ 25.8 nm. The coherence length is only about twice this spacing, so a pair is hardly larger than the distance between carriers: MA-TBG is a strong-coupling superconductor close to the BCS-BEC crossover.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Discussion, last paragraph before Summary (p. 9): coherence length of the same order as the inter-particle distance (~26 nm)）。",
     "is_correct": true,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cao2018-coherence",
    "value": 25.819888974716115,
    "shown": "25.8",
    "mistake_value": 8.247860988423225,
    "mistake_rule": "total_gate_density",
    "decimals": 1,
    "unit": "nm",
    "facts": {
     "E1": "Magnetic field response (p. 5) and Fig. 3e",
     "E2": "Fig. 1e caption",
     "E3": "Quantum oscillations (pp. 7-8) and Discussion (p. 8)"
    },
    "paper_conclusion_locator": "Discussion, last paragraph before Summary (p. 9): coherence length of the same order as the inter-particle distance (~26 nm)",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 52,
    "reasoning_nm": 52,
    "reasoning_definition": "相干长度 ξGL 与载流子间距（约 26–52 nm）"
   },
   "source": "Cao, Fatemi, Fang, Watanabe, Taniguchi, Kaxiras & Jarillo-Herrero, \"Magic-angle graphene superlattices: a new platform for unconventional superconductivity\", Nature 556, 43 (2018); arXiv:1803.02342v2；证据卡逐条记录原文位置（docs/assets/families/evidence/cao2018-coherence.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cao2018-coherence.json": "b817b5a45d705c278c5789ee75fe0d79feb4f169a604dfdcd9e95df84ae67dc9"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-CAO-SQUID",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Effective loop area ≈ 0.092 µm². The loop is roughly a tenth of the device area, so the oscillation comes from SQUID-like superconducting loops around insulating islands: the superconducting state is spatially inhomogeneous on this scale.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Methods, Phase-coherent transport (p. 15): S ≈ 0.09 µm² vs ~1 µm² device; Josephson junction arrays around insulating islands）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Effective loop area ≈ 0.092 µm². The loop is essentially the whole device, so the oscillation shows a single uniform superconducting ring spanning the Hall bar.",
     "rule": "uniform_whole_device",
     "reason": "数值正确，但结论是原文排除的解释：算出的面积远小于器件面积，原文据此推断存在绝缘“岛”与不均匀性，不是整个器件一个均匀环。（Methods (p. 15): the area is compared with ~1 µm² and attributed to inhomogeneity）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Effective loop area ≈ 0.184 µm². The loop is essentially the whole device, so the oscillation shows a single uniform superconducting ring spanning the Hall bar.",
     "rule": "normal_flux_quantum+uniform_whole_device",
     "reason": "数值来自错误做法（用正常态磁通量子 h/e（量子霍尔用）而不是超导磁通量子 h/2e，面积大了一倍。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "D",
     "value": "Effective loop area ≈ 0.184 µm². The loop is roughly a tenth of the device area, so the oscillation comes from SQUID-like superconducting loops around insulating islands: the superconducting state is spatially inhomogeneous on this scale.",
     "rule": "normal_flux_quantum",
     "reason": "结论措辞取自原文，但数值来自错误做法：用正常态磁通量子 h/e（量子霍尔用）而不是超导磁通量子 h/2e，面积大了一倍。",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cao2018-squid",
    "value": 0.09190372659830798,
    "shown": "0.092",
    "mistake_value": 0.18380745319661596,
    "mistake_rule": "normal_flux_quantum",
    "decimals": 3,
    "unit": "um^2",
    "facts": {
     "E1": "Methods, Phase-coherent transport (pp. 14-15); Extended Data Fig. 1a",
     "E2": "Methods, Phase-coherent transport (p. 15)",
     "E3": "Superconductivity in MA-TBG (p. 3)"
    },
    "paper_conclusion_locator": "Methods, Phase-coherent transport (p. 15): S ≈ 0.09 µm² vs ~1 µm² device; Josephson junction arrays around insulating islands",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 1000,
    "reasoning_nm": 303,
    "reasoning_definition": "超导环路的等效尺寸 √S（约 0.3 μm）"
   },
   "source": "Cao, Fatemi, Fang, Watanabe, Taniguchi, Kaxiras & Jarillo-Herrero, \"Magic-angle graphene superlattices: a new platform for unconventional superconductivity\", Nature 556, 43 (2018); arXiv:1803.02342v2；证据卡逐条记录原文位置（docs/assets/families/evidence/cao2018-squid.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cao2018-squid.json": "eb6f18c907945b5f577d9ab2f0e828db3198ee6d74fa62ecc2c41de610b68a32"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-CAO-PAULI",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Orbital in-plane critical field ≈ 0.12 T. The measured 1.1 T is set by orbital pair breaking: the in-plane field destroys superconductivity through screening currents in the bilayer.",
     "rule": "perpendicular_formula+orbital_limited",
     "reason": "数值来自错误做法（套用垂直场的 GL 公式 Φ0/(2πξ²)，忽略了平行场下轨道效应受膜厚 d 限制。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "B",
     "value": "Orbital in-plane critical field ≈ 36.54 T. The orbital limit is far above the measured 1.1 T, which lies close to the Pauli limit: in-plane superconductivity is destroyed by Zeeman (paramagnetic) pair breaking, not by orbital currents.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Magnetic field response (p. 5): d ≈ 0.6 nm would imply ~36 T; dependence interpreted as paramagnetic pair breaking）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Orbital in-plane critical field ≈ 36.54 T. The measured 1.1 T is set by orbital pair breaking: the in-plane field destroys superconductivity through screening currents in the bilayer.",
     "rule": "orbital_limited",
     "reason": "数值正确，但结论是原文排除的解释：原文指出原子级厚度使轨道极限约 36 T，远高于实测，因而排除轨道机制。（Magnetic field response (p. 5)）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "Orbital in-plane critical field ≈ 0.12 T. The orbital limit is far above the measured 1.1 T, which lies close to the Pauli limit: in-plane superconductivity is destroyed by Zeeman (paramagnetic) pair breaking, not by orbital currents.",
     "rule": "perpendicular_formula",
     "reason": "结论措辞取自原文，但数值来自错误做法：套用垂直场的 GL 公式 Φ0/(2πξ²)，忽略了平行场下轨道效应受膜厚 d 限制。",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cao2018-pauli",
    "value": 36.54027408936888,
    "shown": "36.54",
    "mistake_value": 0.12171079085630669,
    "mistake_rule": "perpendicular_formula",
    "decimals": 2,
    "unit": "T",
    "facts": {
     "E1": "Magnetic field response (p. 5)",
     "E2": "Magnetic field response (p. 5); Fig. 3e",
     "E3": "Magnetic field response (p. 5); Fig. 3e",
     "E4": "Magnetic field response (p. 5)"
    },
    "paper_conclusion_locator": "Magnetic field response (p. 5): d ≈ 0.6 nm would imply ~36 T; dependence interpreted as paramagnetic pair breaking",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 52,
    "reasoning_nm": 0.6,
    "reasoning_definition": "双层厚度 d（与 ξ 比较决定平行场轨道极限）"
   },
   "source": "Cao, Fatemi, Fang, Watanabe, Taniguchi, Kaxiras & Jarillo-Herrero, \"Magic-angle graphene superlattices: a new platform for unconventional superconductivity\", Nature 556, 43 (2018); arXiv:1803.02342v2；证据卡逐条记录原文位置（docs/assets/families/evidence/cao2018-pauli.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cao2018-pauli.json": "fa9f085763932f45608db318e5c4f63b180519788ed4d1f57c4d18a967e1e81e"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-KER-STRAIN",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Equal-area twist angle ≈ 1.18°. The three directions belong to regions with three different twist angles; each wavelength gives its own local twist directly.",
     "rule": "three_twist_domains",
     "reason": "数值正确，但结论是原文排除的解释：三个波长来自同一莫尔晶格的三个方向；原文用一层的单轴异质应变解释，而不是三个转角不同的畴。（Supplement S1; main text p. 2 (single moiré lattice with strain)）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Equal-area twist angle ≈ 1.03°. The wavelengths differ because one layer carries a small uniaxial heterostrain (about 0.7 %; a full fit gives θ ≈ 1.15°); the equal-area estimate stays close to the true twist, whereas any single direction would misjudge it.",
     "rule": "single_longest_wavelength",
     "reason": "结论措辞取自原文，但数值来自错误做法：只用最长的一个方向（13.72 nm）代入 λ = a/(2 sin θ/2)，忽略三个方向不等。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Equal-area twist angle ≈ 1.18°. The wavelengths differ because one layer carries a small uniaxial heterostrain (about 0.7 %; a full fit gives θ ≈ 1.15°); the equal-area estimate stays close to the true twist, whereas any single direction would misjudge it.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Supplement S1: fit θT = 1.152°, strain 0.68 %; equal-area estimate 1.18°）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "Equal-area twist angle ≈ 1.03°. The three directions belong to regions with three different twist angles; each wavelength gives its own local twist directly.",
     "rule": "single_longest_wavelength+three_twist_domains",
     "reason": "数值来自错误做法（只用最长的一个方向（13.72 nm）代入 λ = a/(2 sin θ/2)，忽略三个方向不等。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "kerelsky2019-strain",
    "value": 1.1804581169071429,
    "shown": "1.18",
    "mistake_value": 1.027328758737062,
    "mistake_rule": "single_longest_wavelength",
    "decimals": 2,
    "unit": "degree",
    "facts": {
     "E1": "Supplement S1 (strain model), first example",
     "E2": "Main text p. 2 (Fig. 1d-f discussion)",
     "E3": "Supplement S1, last paragraph"
    },
    "paper_conclusion_locator": "Supplement S1: fit θT = 1.152°, strain 0.68 %; equal-area estimate 1.18°",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 13.72,
    "reasoning_nm": 12.2,
    "reasoning_definition": "莫尔周期（10–14 nm）"
   },
   "source": "Kerelsky et al., \"Maximized electron interactions at the magic angle in twisted bilayer graphene\", Nature 572, 95 (2019); arXiv:1812.08776v2 (\"Magic Angle Spectroscopy\")；证据卡逐条记录原文位置（docs/assets/families/evidence/kerelsky2019-strain.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/kerelsky2019-strain.json": "e6b5fd628b81842e5e0fcedb45b0bbb40666ab5fe284e299f47ac53ee4c96188"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-SCH-FLUX",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Expected number of vortices ≈ 28.6. The 26 counted vortices are about twice this expectation, so each vortex must carry only half a flux quantum.",
     "rule": "fractional_vortices",
     "reason": "数值正确，但结论是原文排除的解释：原文以 h/2e 计算预期 28.6 个，与 26 个吻合，没有“半磁通涡旋”。（Results: agreement with N = BA/Φ0 for Φ0 = h/2e）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Expected number of vortices ≈ 14.3. The 26 counted vortices agree with this expectation to about 10 %: each vortex carries a single superconducting flux quantum and they form a triangular Abrikosov lattice.",
     "rule": "normal_flux_quantum",
     "reason": "结论措辞取自原文，但数值来自错误做法：用 h/e 当作每个涡旋的磁通，预期数目少了一半。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Expected number of vortices ≈ 14.3. The 26 counted vortices are about twice this expectation, so each vortex must carry only half a flux quantum.",
     "rule": "normal_flux_quantum+fractional_vortices",
     "reason": "数值来自错误做法（用 h/e 当作每个涡旋的磁通，预期数目少了一半。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "D",
     "value": "Expected number of vortices ≈ 28.6. The 26 counted vortices agree with this expectation to about 10 %: each vortex carries a single superconducting flux quantum and they form a triangular Abrikosov lattice.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Results, BSCCO paragraph: 26 observed vs 28.6 expected from N = BA/Φ0; FFT lattice constant 0.855 µm ≈ 3.26 mT）。",
     "is_correct": true,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "schaefermeier2026-flux",
    "value": 28.62899262628543,
    "shown": "28.6",
    "mistake_value": 14.314496313142715,
    "mistake_rule": "normal_flux_quantum",
    "decimals": 1,
    "unit": "",
    "facts": {
     "E1": "Results, BSCCO paragraph; Fig. 2 caption",
     "E2": "Results, BSCCO paragraph (the expected 28.6 implies a 4 µm × 4 µm field of view; the text says \"4 µm²\")",
     "E3": "Results, BSCCO paragraph; Fig. 2b"
    },
    "paper_conclusion_locator": "Results, BSCCO paragraph: 26 observed vs 28.6 expected from N = BA/Φ0; FFT lattice constant 0.855 µm ≈ 3.26 mT",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 4000,
    "reasoning_nm": 855,
    "reasoning_definition": "涡旋晶格常数 a（约 0.86 μm）"
   },
   "source": "Schäfermeier, Sharma et al., \"Quantitative imaging of Abrikosov vortices by scanning quantum magnetometry\", arXiv:2602.13060v2 (2026)；证据卡逐条记录原文位置（docs/assets/families/evidence/schaefermeier2026-flux.json）",
   "license": "CC BY-NC-ND 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/schaefermeier2026-flux.json": "88b8e7bd24c19f366112fbde5add261bd2369da51a85da2b7298abb06edd3be6"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-SHA-BAND",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Expected band width ≈ 85.9 nm. Up to about 60 °C the pitch stays essentially constant and the band narrows because the birefringence falls as orientational order decreases; above about 60 °C the red shift of the centre shows the pitch lengthening (weaker twisting).",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Section 3.5: Δλ decrease attributed to diminishing Δn; red shift above ~60 °C = pitch elongation）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Expected band width ≈ 592.7 nm. Up to about 60 °C the pitch stays essentially constant and the band narrows because the birefringence falls as orientational order decreases; above about 60 °C the red shift of the centre shows the pitch lengthening (weaker twisting).",
     "rule": "band_centre_instead",
     "reason": "结论措辞取自原文，但数值来自错误做法：用平均折射率 ⟨n⟩ 代替双折射 Δn，算出的是反射带中心而不是带宽。",
     "is_correct": false,
     "plausibility": 1
    },
    {
     "label": "C",
     "value": "Expected band width ≈ 592.7 nm. The band narrows because the helical pitch shortens on heating, and the late red shift comes from a rise of the average refractive index.",
     "rule": "band_centre_instead+pitch_shortens",
     "reason": "数值来自错误做法（用平均折射率 ⟨n⟩ 代替双折射 Δn，算出的是反射带中心而不是带宽。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "D",
     "value": "Expected band width ≈ 85.9 nm. The band narrows because the helical pitch shortens on heating, and the late red shift comes from a rise of the average refractive index.",
     "rule": "pitch_shortens",
     "reason": "数值正确，但结论是原文排除的解释：中心在 20–60 °C 几乎不动，说明螺距基本不变；带宽变窄来自 Δn 下降，而非螺距变短。（Section 3.5）",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "shaban2024-band",
    "value": 85.92224391975854,
    "shown": "85.9",
    "mistake_value": 592.72146280845,
    "mistake_rule": "band_centre_instead",
    "decimals": 1,
    "unit": "nm",
    "facts": {
     "E1": "Materials 2.1; Section 3.5",
     "E2": "Section 2.2",
     "E3": "Section 3.5; Fig. 9",
     "E4": "Section 3.5; Fig. 9c"
    },
    "paper_conclusion_locator": "Section 3.5: Δλ decrease attributed to diminishing Δn; red shift above ~60 °C = pitch elongation",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 355,
    "reasoning_nm": 355,
    "reasoning_definition": "螺距 p（约 0.36 μm）"
   },
   "source": "Shaban et al., \"Overlooked Ionic Contribution of a Chiral Dopant in Cholesteric Liquid Crystals\", Materials 17, 5080 (2024), doi:10.3390/ma17205080 (Europe PMC PMC11509098)；证据卡逐条记录原文位置（docs/assets/families/evidence/shaban2024-band.json）",
   "license": "CC BY 4.0; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/shaban2024-band.json": "9dc14ca6eb21eec10b0254530d74ce67873ab7d45d340f3ff9b2caff2bb10638"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-DIN-HTP",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.90. LRCD twists the host only about three quarters as strongly; as enantiomers the two have the same intrinsic |HTP|, so the deficit reflects the lower enantiomeric excess of LRCD, inherited from L-sorbitol that contains some D-sorbitol.",
     "rule": "concentration_ignored",
     "reason": "结论措辞取自原文，但数值来自错误做法：只比较两个反射波长（λR/λL），忽略两种涂层的掺杂浓度不同。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.76. LRCD twists the host only about three quarters as strongly; as enantiomers the two have the same intrinsic |HTP|, so the deficit reflects the lower enantiomeric excess of LRCD, inherited from L-sorbitol that contains some D-sorbitol.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Results, last paragraph: ratio of apparent HTPs 76 %, in agreement with the ee from optical rotation）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.90. LRCD and RRCD are not true mirror images but diastereomers, so their intrinsic twisting powers differ; enantiomeric purity plays no role.",
     "rule": "concentration_ignored+not_enantiomers",
     "reason": "数值来自错误做法（只比较两个反射波长（λR/λL），忽略两种涂层的掺杂浓度不同。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "D",
     "value": "|HTP(LRCD)| / HTP(RRCD) ≈ 0.76. LRCD and RRCD are not true mirror images but diastereomers, so their intrinsic twisting powers differ; enantiomeric purity plays no role.",
     "rule": "not_enantiomers",
     "reason": "数值正确，但结论是原文排除的解释：两者 NMR 与质量完全相同，原文确认为对映体；差异来自对映体过量。（Results (identical NMR, same mass; enantiomeric relationship)）",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "dinc2024-htp",
    "value": 0.755357142857143,
    "shown": "0.76",
    "mistake_value": 0.9,
    "mistake_rule": "concentration_ignored",
    "decimals": 2,
    "unit": "",
    "facts": {
     "E1": "Results (Fig. 3)",
     "E2": "Results (Fig. 3)",
     "E3": "Results; Fig. 1; ESI Fig. S6-S8",
     "E4": "Results (optical rotation)"
    },
    "paper_conclusion_locator": "Results, last paragraph: ratio of apparent HTPs 76 %, in agreement with the ee from optical rotation",
    "notes": [
     "用原文给出的浓度直接算出的 HTP 绝对值为 42.6 与 56.5 μm⁻¹，比原文的 −48 与 +63 μm⁻¹ 都低约 11%（原文未说明换算）；本题只用两者的比值（0.755，原文 76%）。"
    ],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 419,
    "reasoning_nm": 419,
    "reasoning_definition": "螺距 p = λ/⟨n⟩（约 0.38–0.42 μm）"
   },
   "source": "Dinc, Kragt, Schenning & Lub, \"An L-isosorbide-based reactive chiral dopant with high helical twisting power for cholesteric liquid crystal polymers reflecting left-handed circularly polarized light\", Org. Chem. Front. (2024), doi:10.1039/d4qo01672f (Europe PMC PMC11492181)；证据卡逐条记录原文位置（docs/assets/families/evidence/dinc2024-htp.json）",
   "license": "CC BY 3.0; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/dinc2024-htp.json": "b9e62536bdf8c4a34b88ebb91bec03ccc5c228d7026e96da6d69f6ce5910d30d"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-ALT-OHSHIFT",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "d(TWO) - d(FIVE) ≈ -0.315 Å. TWO has the shorter donor-acceptor contact and an O-H red shift of about 750 cm^-1 against about 265 cm^-1 for FIVE: the OH···O= bond in TWO is the stronger hydrogen bond.",
     "rule": "hydrogen_acceptor_instead",
     "reason": "结论措辞取自原文，但数值来自错误做法：量成 H···受体距离之差，而不是给体–受体（重原子）距离之差。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "d(TWO) - d(FIVE) ≈ -0.196 Å. FIVE has the stronger hydrogen bond, because nitrogen is a better hydrogen-bond acceptor than a carbonyl oxygen; the frequency shifts do not compare bond strengths.",
     "rule": "nitrogen_better_acceptor",
     "reason": "数值正确，但结论是原文排除的解释：原文以 O–H 红移和局部力常数判定 TWO 的 OH···O= 更强，FIVE 的 OH···N 较弱。（OH mode discussion; Figure 9 ranking）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "d(TWO) - d(FIVE) ≈ -0.196 Å. TWO has the shorter donor-acceptor contact and an O-H red shift of about 750 cm^-1 against about 265 cm^-1 for FIVE: the OH···O= bond in TWO is the stronger hydrogen bond.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（OH mode discussion (TWO 3087, FIVE 3571); local force constants TWO > ELEVEN > FIVE; X···Y distances 2.538 vs 2.631 Å）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "d(TWO) - d(FIVE) ≈ -0.315 Å. FIVE has the stronger hydrogen bond, because nitrogen is a better hydrogen-bond acceptor than a carbonyl oxygen; the frequency shifts do not compare bond strengths.",
     "rule": "hydrogen_acceptor_instead+nitrogen_better_acceptor",
     "reason": "数值来自错误做法（量成 H···受体距离之差，而不是给体–受体（重原子）距离之差。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "altun2021-ohshift",
    "value": -0.19579936504175244,
    "shown": "-0.196",
    "mistake_value": -0.31521585617701087,
    "mistake_rule": "hydrogen_acceptor_instead",
    "decimals": 3,
    "unit": "angstrom",
    "facts": {
     "E1": "SI coordinates, system TWO; main text Fig. 2",
     "E2": "SI coordinates, system FIVE; main text Fig. 2",
     "E3": "Vibrational spectra, OH mode (Table 3 discussion)"
    },
    "paper_conclusion_locator": "OH mode discussion (TWO 3087, FIVE 3571); local force constants TWO > ELEVEN > FIVE; X···Y distances 2.538 vs 2.631 Å",
    "notes": [
     "正文列出 TWO、FIVE、ELEVEN 的 X···Y 距离为 2.538、2.631、2.617 Å；SI 坐标与 SI 图注给出 FIVE 的 O···N 为 2.735 Å（坐标算得 2.734 Å），TWO 为 2.538 Å 一致。本题以 SI 坐标为准，结论（TWO 更短、更强）不受影响。"
    ],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 0.45,
    "reasoning_nm": 0.26,
    "reasoning_definition": "给体–受体距离（约 0.25–0.26 nm）"
   },
   "source": "Altun, Bleda & Trindle, \"Hydrogen Bonding in 3-hydroxy-2-butenamide and related isomers\", Molecules 26, 2623 (2021), doi:10.3390/molecules26092623；证据卡逐条记录原文位置（docs/assets/families/evidence/altun2021-ohshift.json）",
   "license": "CC BY 4.0; facts and numbers only; SI coordinates copied unchanged",
   "legacy_qa": "HBI001",
   "input_hashes": {
    "assets/qa/HBP002-S0005.xyz": "62e9597af2a00d0b598bae83c6bab717330c3e1826839dbe77a5593fb1381f01",
    "assets/qa/HBI002-S0008.xyz": "28c8f4864bf4a7f6aa8bd646c4741a2cacf7817727e4b5cadcb38b9b6ac9b997",
    "assets/families/evidence/altun2021-ohshift.json": "addbf162979f4a00c7fc582aa196f8710dddf0fc2161bc6ead4b021f4edb08cb"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-ALT-NHO",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.204 Å. ELEVEN has the stronger NH···O= bond: its N···O contact is shorter, its NH2 stretches split about twice as much, and its critical point shows partial covalent character; the same bond type differs in strength with geometry.",
     "rule": "hydrogen_acceptor_instead",
     "reason": "结论措辞取自原文，但数值来自错误做法：量成 H···O 距离之差，而不是给体–受体（N···O）距离之差。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.204 Å. The two bonds are equally strong because they are the same type (NH···O=); the differences in distance and spectra are incidental.",
     "rule": "hydrogen_acceptor_instead+same_type_same_strength",
     "reason": "数值来自错误做法（量成 H···O 距离之差，而不是给体–受体（N···O）距离之差。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "C",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.126 Å. The two bonds are equally strong because they are the same type (NH···O=); the differences in distance and spectra are incidental.",
     "rule": "same_type_same_strength",
     "reason": "数值正确，但结论是原文排除的解释：原文明确把 ELEVEN 更大的 NH 伸缩分裂归因于更短的 N···O 距离，强度排序 ELEVEN > ONE。（NH2 modes; Figure 9 ranking）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "d(ONE) - d(ELEVEN) ≈ 0.126 Å. ELEVEN has the stronger NH···O= bond: its N···O contact is shorter, its NH2 stretches split about twice as much, and its critical point shows partial covalent character; the same bond type differs in strength with geometry.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（NH2 modes: larger shift in ELEVEN attributed to the shorter N···O distance; AIM: H < 0 only for TWO, FIVE, ELEVEN）。",
     "is_correct": true,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "altun2021-nho",
    "value": 0.12571406634652726,
    "shown": "0.126",
    "mistake_value": 0.20410987495867183,
    "mistake_rule": "hydrogen_acceptor_instead",
    "decimals": 3,
    "unit": "angstrom",
    "facts": {
     "E1": "SI coordinates, system ONE; main text Fig. 1",
     "E2": "SI coordinates, system ELEVEN; main text Fig. 5",
     "E3": "Vibrational spectra, NH2 modes",
     "E4": "AIM results (Table 2 discussion)"
    },
    "paper_conclusion_locator": "NH2 modes: larger shift in ELEVEN attributed to the shorter N···O distance; AIM: H < 0 only for TWO, FIVE, ELEVEN",
    "notes": [
     "SI 中 ELEVEN 表下标注 N···O = 2.617 Å（正文同），但 SI 坐标算得 2.664 Å；ONE 的 2.789 Å 与坐标一致。本题以坐标为准，结论（ELEVEN 更短）不受影响。"
    ],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 0.5,
    "reasoning_nm": 0.27,
    "reasoning_definition": "N···O 给体–受体距离（约 0.27–0.28 nm）"
   },
   "source": "Altun, Bleda & Trindle, \"Hydrogen Bonding in 3-hydroxy-2-butenamide and related isomers\", Molecules 26, 2623 (2021), doi:10.3390/molecules26092623；证据卡逐条记录原文位置（docs/assets/families/evidence/altun2021-nho.json）",
   "license": "CC BY 4.0; facts and numbers only; SI coordinates copied unchanged",
   "legacy_qa": "HBI002",
   "input_hashes": {
    "assets/families/evidence/altun2021-ONE.xyz": "dc4ca549a8a6160f52f28879a51a3011e5e5dcfbf75f7eec2a4514b8ad776656",
    "assets/families/evidence/altun2021-ELEVEN.xyz": "1ef4e30d8ba378dc27e922186f51ee669c23e246172768d34bbf158409091b84",
    "assets/families/evidence/altun2021-nho.json": "3bc8a8d3eec13bc25c9014911cb65493e0c05ba94db8c052baf8f392d45b8524"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-KER-NEMATIC",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "An asymmetric STM tip: the anisotropy is an imaging artefact that does not depend on the electronic states.",
     "rule": "tip_artefact",
     "reason": "与 E3、E4 矛盾：针尖假象与能量、掺杂无关，解释不了破缺集中在费米能并在关联态增强。（Fig. 5 discussion）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Electronic nematicity driven by the states at the Fermi level: strain only selects a direction, while the size of the C3 breaking follows the Fermi level and grows in the correlated state.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Fig. 5 discussion: Fermi-surface driven breaking of C3, possible nematic order）。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "Heterostrain alone: a fixed lattice distortion breaks C3 by the same amount at every energy and doping.",
     "rule": "strain_only",
     "reason": "与 E3、E4 矛盾：应变是固定的晶格畸变，不会让最强破缺随费米能移动。（Fig. 5 discussion: some breaking expected from strain, but maximum at the Fermi level）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "A charge density wave that breaks translational symmetry has been established in these maps, and it causes the C3 breaking.",
     "rule": "overreach_density_wave",
     "reason": "与 E5 矛盾：原文明确说平移对称破缺仍未确定，因样品不均匀无法做傅里叶分析。（Fig. 5 discussion: translational symmetry breaking remains an open question）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "kerelsky2019-nematic",
    "contradicted_by": {
     "paper_conclusion": [],
     "strain_only": [
      "E3",
      "E4"
     ],
     "tip_artefact": [
      "E3",
      "E4"
     ],
     "overreach_density_wave": [
      "E5"
     ]
    },
    "facts": {
     "E1": "Main text p. 3",
     "E2": "Fig. 5d discussion",
     "E3": "Fig. 5d and its discussion",
     "E4": "Fig. 5e and its discussion",
     "E5": "Fig. 5 discussion; Supplement S6-S7"
    },
    "paper_conclusion_locator": "Fig. 5 discussion: Fermi-surface driven breaking of C3, possible nematic order",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 12.8,
    "reasoning_nm": 12.8,
    "reasoning_definition": "莫尔晶胞（1.10° 时约 13 nm）"
   },
   "source": "Kerelsky et al., \"Maximized electron interactions at the magic angle in twisted bilayer graphene\", Nature 572, 95 (2019); arXiv:1812.08776v2 (\"Magic Angle Spectroscopy\")；证据卡逐条记录原文位置（docs/assets/families/evidence/kerelsky2019-nematic.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/kerelsky2019-nematic.json": "75b75982b068d5c6508e6bbf59b12097dcb786949d8bc0625fca02e535b4c0b2"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-COT-BEND",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Ferromagnetic domains of a magnetic impurity phase in the crystal.",
     "rule": "magnetic_domains",
     "reason": "与 E2 矛盾：磁畴是样品的固有磁结构，不会因轻微倾转改变位置。（Results (bend-contour test)）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Vortex-free Meissner domains of an intermediate (type-1.5) superconducting state.",
     "rule": "meissner_domains",
     "reason": "与 E2、E3 矛盾：磁性的无涡旋畴不会随样品轻微倾转而移动，也不会被涡旋穿越。（Introduction and Results: no stripes or gossamer patterns; conventional type-II behaviour）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Bend contours: diffraction contrast where local bending of the thin crystal meets the Bragg condition; they hide vortices but do not change the vortex lattice.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Results: bend contours due to diffraction contrast; crossing curves confirm they do not affect the lattice）。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "Lines of strong pinning centres that hold the vortices in place.",
     "rule": "pinning_lines",
     "reason": "与 E2、E3 矛盾：钉扎线是固定缺陷，不随倾转移动，且会阻止涡旋在区域间移动。（Results: no vortex pinning except at the edge）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cottet2014-bend",
    "contradicted_by": {
     "paper_conclusion": [],
     "meissner_domains": [
      "E2",
      "E3"
     ],
     "pinning_lines": [
      "E2",
      "E3"
     ],
     "magnetic_domains": [
      "E2"
     ]
    },
    "facts": {
     "E1": "Results (Fig. 3)",
     "E2": "Results (Fig. 3, dashed rectangles)",
     "E3": "Results (Fig. 5B discussion)",
     "E4": "Results (Fig. 5A)"
    },
    "paper_conclusion_locator": "Results: bend contours due to diffraction contrast; crossing curves confirm they do not affect the lattice",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 5000,
    "reasoning_nm": 451,
    "reasoning_definition": "涡旋间距（117.3 G 时约 0.45 μm）"
   },
   "source": "Cottet, Cantoni, Mansart, Alexander, Hébert, Zhigadlo, Karpinski & Carbone, \"Quantitative imaging of flux vortices in type-II superconductor MgB2 using Cryo-Lorentz Transmission Electron Microscopy\", arXiv:1401.4062v1 (2014)；证据卡逐条记录原文位置（docs/assets/families/evidence/cottet2014-bend.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cottet2014-bend.json": "b3a029a40a8c7cf759dd341b5ca902518447a93fe770bb7a160f6ee212a4fdc8"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-SHA-IONS",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Any chiral dopant dissociates into ions in E44, whichever its handedness.",
     "rule": "any_chiral_dopant",
     "reason": "与 E2 矛盾：S5011 同为手性剂，却几乎不增加离子。（Section 3.2: S5011 adds no appreciable ions）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "The right-handed helical order itself generates or traps the ions.",
     "rule": "right_handed_helix",
     "reason": "与 E3 矛盾：外消旋混合物没有净螺旋，却与同剂量 R5011 相同，说明不是手性结构所致。（Section 3.3: racemic blends behave like R5011-only samples）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "The ions come from the cell (alignment layers and electrodes), and the cell geometry controls them.",
     "rule": "cell_origin",
     "reason": "与 E1、E4 矛盾：两种盒子结果相同，且离子随 R5011 浓度线性增加，来源不是盒子。（Section 3.4: cell mode inoperative）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Impurity ions carried by this batch of R5011 (from manufacture or later contamination or degradation), unrelated to its handedness.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Section 3.3 and Conclusions: R5011 as received contained more impurity ions; handedness not associated with the ionic response）。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "shaban2024-ions",
    "contradicted_by": {
     "paper_conclusion": [],
     "right_handed_helix": [
      "E3"
     ],
     "any_chiral_dopant": [
      "E2"
     ],
     "cell_origin": [
      "E1",
      "E4"
     ]
    },
    "facts": {
     "E1": "Section 3.2; Fig. 4c, 5a",
     "E2": "Section 3.2; Fig. 4d, 5d",
     "E3": "Section 3.3; Fig. 7",
     "E4": "Section 3.4; Fig. 8",
     "E5": "Section 3.5; Fig. 9"
    },
    "paper_conclusion_locator": "Section 3.3 and Conclusions: R5011 as received contained more impurity ions; handedness not associated with the ionic response",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 355,
    "reasoning_nm": 355,
    "reasoning_definition": "螺距 p（约 0.36 μm；离子问题的结构背景）"
   },
   "source": "Shaban et al., \"Overlooked Ionic Contribution of a Chiral Dopant in Cholesteric Liquid Crystals\", Materials 17, 5080 (2024), doi:10.3390/ma17205080 (Europe PMC PMC11509098)；证据卡逐条记录原文位置（docs/assets/families/evidence/shaban2024-ions.json）",
   "license": "CC BY 4.0; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/shaban2024-ions.json": "874a2a72b48d742c6806399d7099e8802568ff3b4234c5b503f4fe79fe8ee712"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-ALT-THREE",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "No hydrogen bond: the O···O contact is repulsive, and a bond path with a critical point is not enough on its own to establish a hydrogen bond.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（AIM and NCI sections: THREE has a repulsive O···O interaction despite the density at the BCP）。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "A strong hydrogen bond, since the density at the critical point is appreciable.",
     "rule": "strong_hbond_from_density",
     "reason": "与 E2、E3、E4 矛盾：没有红移、成环振动最软，与强氢键的预期全部相反。（NCI section; OH mode; CCC bend）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "A partly covalent O-O interaction.",
     "rule": "covalent_oo",
     "reason": "与 E1、E2 矛盾：拉普拉斯量为正，表明是闭壳层相互作用，不是共价作用。（AIM section: positive Laplacian = closed-shell interaction）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "A weak O-H···O hydrogen bond, proved by the bond path and its critical point.",
     "rule": "weak_hbond_from_bcp",
     "reason": "与 E2、E3 矛盾：NCI 为排斥，且 O–H 伸缩没有红移，键径本身不能证明氢键。（NCI section; OH mode）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "altun2021-three",
    "contradicted_by": {
     "paper_conclusion": [],
     "weak_hbond_from_bcp": [
      "E2",
      "E3"
     ],
     "strong_hbond_from_density": [
      "E2",
      "E3",
      "E4"
     ],
     "covalent_oo": [
      "E1",
      "E2"
     ]
    },
    "facts": {
     "E1": "AIM results (Table 2 discussion; Fig. 6c)",
     "E2": "NCI results (Fig. 7)",
     "E3": "Vibrational spectra, OH mode",
     "E4": "Vibrational spectra, CCC bend"
    },
    "paper_conclusion_locator": "AIM and NCI sections: THREE has a repulsive O···O interaction despite the density at the BCP",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 0.45,
    "reasoning_nm": 0.26,
    "reasoning_definition": "两个 O 之间的距离（约 0.26 nm）"
   },
   "source": "Altun, Bleda & Trindle, \"Hydrogen Bonding in 3-hydroxy-2-butenamide and related isomers\", Molecules 26, 2623 (2021), doi:10.3390/molecules26092623；证据卡逐条记录原文位置（docs/assets/families/evidence/altun2021-three.json）",
   "license": "CC BY 4.0; facts and numbers only; SI coordinates copied unchanged",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/altun2021-three.json": "78b3d0c24b58362bb1162dc47185b1a8f40d6a9151203c89821232ee1036296f"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-CAO-POCKETS",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "A doubled unit cell from strain or a charge density wave, which halves the filling factors of the ordinary single-particle bands.",
     "rule": "cell_doubling",
     "reason": "与 E1 矛盾：晶胞加倍要求事先破缺自旋或谷简并，但从电中性点和 −ns 出发的扇仍是四重简并。（Quantum oscillations (p. 7): would require spin or valley degeneracy to be broken a priori）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Small Fermi pockets of quasiparticles counted from the half-filling correlated insulator, with half the usual degeneracy; the carriers above the superconducting dome are only |n| - ns/2.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Quantum oscillations (p. 8): small Fermi surfaces from the correlated insulating state; halved degeneracy）。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "Fractional Landau fans of the Hofstadter butterfly of the moiré superlattice.",
     "rule": "hofstadter_butterfly",
     "reason": "与 E3 矛盾：Hofstadter 分形通常要 10 T 以上才明显，而这个扇在约 1 T 就出现。（Quantum oscillations (p. 7): Hofstadter features need fields > 10 T）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "The ordinary single-particle Fermi surface of all |n| carriers, with the usual four-fold degeneracy.",
     "rule": "large_fermi_surface",
     "reason": "与 E4 矛盾：半填充附近测得 M = 2，面积随 |n| − ns/2 变化，不是全部载流子的大费米面。（Quantum oscillations (p. 8): M = 2 near the correlated state）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cao2018-fermi-pockets",
    "contradicted_by": {
     "paper_conclusion": [],
     "hofstadter_butterfly": [
      "E3"
     ],
     "cell_doubling": [
      "E1"
     ],
     "large_fermi_surface": [
      "E4"
     ]
    },
    "facts": {
     "E1": "Quantum oscillations (p. 6); Fig. 5a",
     "E2": "Quantum oscillations (pp. 6-7); Fig. 5a",
     "E3": "Quantum oscillations (p. 7)",
     "E4": "Quantum oscillations (p. 8); Fig. 5d",
     "E5": "Quantum oscillations (p. 7); Extended Data Fig. 2"
    },
    "paper_conclusion_locator": "Quantum oscillations (p. 8): small Fermi surfaces from the correlated insulating state; halved degeneracy",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 13.4,
    "reasoning_nm": 13.4,
    "reasoning_definition": "莫尔晶胞（1.05° 时约 13 nm）"
   },
   "source": "Cao, Fatemi, Fang, Watanabe, Taniguchi, Kaxiras & Jarillo-Herrero, \"Magic-angle graphene superlattices: a new platform for unconventional superconductivity\", Nature 556, 43 (2018); arXiv:1803.02342v2；证据卡逐条记录原文位置（docs/assets/families/evidence/cao2018-fermi-pockets.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cao2018-fermi-pockets.json": "66a890fa2629c567314c107dadf95204f14313686e1b749c27a1b22009307ede"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-KER-BANDWIDTH",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "The 55 meV vHs splitting at 1.1° is an artefact of heterostrain and does not reflect the band structure.",
     "rule": "strain_artefact",
     "reason": "与 E4 矛盾：不同应变的样品劈裂相近，紧束缚模型也能重现，排除应变假象。（Supplement S4: similar splitting at different strain; reproduced by tight binding）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Phonon-mediated pairing, so correlated states follow the largest density of states, which occurs where the peaks merge (about 0.8°).",
     "rule": "phonon_dos_maximum",
     "reason": "与 E3 矛盾：态密度最大处在两峰几乎合并的 0.79°，而超导出现在约 1.1°。（Discussion (p. 7): phonon scenarios favour maximal DOS; observed at ~1.1°）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "The bandwidth of each individual vHs is smallest near 1.1°, so the ratio of Coulomb repulsion to bandwidth (U/t) is largest there, favouring electronic rather than phonon-driven pairing.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（p. 4 and Discussion (p. 7): width minimized near 1.10°; superconductivity where U/t is largest）。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "The two vHs peaks merge into a single density-of-states maximum at the superconducting angle.",
     "rule": "vhs_merger",
     "reason": "与 E1 矛盾：1.10° 时两峰仍相距约 55 meV，并未合并。（p. 3: two distinct peaks 55 meV apart at 1.10°）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "kerelsky2019-bandwidth",
    "contradicted_by": {
     "paper_conclusion": [],
     "vhs_merger": [
      "E1"
     ],
     "phonon_dos_maximum": [
      "E3"
     ],
     "strain_artefact": [
      "E4"
     ]
    },
    "facts": {
     "E1": "p. 3-4; Fig. 2a, 2d",
     "E2": "p. 4; Fig. 2c, 2e",
     "E3": "Introduction; p. 4 (the angle where superconductivity is observed)",
     "E4": "Supplement S3-S4"
    },
    "paper_conclusion_locator": "p. 4 and Discussion (p. 7): width minimized near 1.10°; superconductivity where U/t is largest",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 12.8,
    "reasoning_nm": 12.8,
    "reasoning_definition": "莫尔晶胞（1.10° 时约 13 nm）"
   },
   "source": "Kerelsky et al., \"Maximized electron interactions at the magic angle in twisted bilayer graphene\", Nature 572, 95 (2019); arXiv:1812.08776v2 (\"Magic Angle Spectroscopy\")；证据卡逐条记录原文位置（docs/assets/families/evidence/kerelsky2019-bandwidth.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/kerelsky2019-bandwidth.json": "d9acdb5c47ca0b04486d28a3e4aff05ff37b2a27e3d758375977fe6b32aa4d05"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-KER-GAP",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "A single-particle band gap of the moiré bands, present whatever the filling.",
     "rule": "single_particle_gap",
     "reason": "与 E1、E2 矛盾：单粒子带隙与填充无关，应在电中性时也存在，但只有 vHs 到达费米能时才出现。（p. 5）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "The same gap that transport measures, with the same size, so transport fully captures it.",
     "rule": "same_as_transport",
     "reason": "与 E3 矛盾：STM 能隙明显大于输运激活能（原文归因于输运中的无序平均）。（p. 5: STM gap bigger than the transport activation energy）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "An artefact of band bending induced by the STM tip.",
     "rule": "tip_band_bending",
     "reason": "与 E4 矛盾：针尖诱导的能带弯曲只在大转角、态密度小时明显，在这些小转角可忽略。（Supplement S4）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "A many-body (correlation) gap: it opens only when the flat-band vHs is at the Fermi level, and it is the spectroscopic counterpart of the half-filling insulator, smaller in transport because of disorder averaging.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（p. 5: emergence only at the Fermi level is direct evidence of many-body character）。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "kerelsky2019-gap",
    "contradicted_by": {
     "paper_conclusion": [],
     "single_particle_gap": [
      "E1",
      "E2"
     ],
     "tip_band_bending": [
      "E4"
     ],
     "same_as_transport": [
      "E3"
     ]
    },
    "facts": {
     "E1": "p. 5; Fig. 3b-c",
     "E2": "Fig. 3a-b",
     "E3": "p. 5",
     "E4": "Supplement S4"
    },
    "paper_conclusion_locator": "p. 5: emergence only at the Fermi level is direct evidence of many-body character",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 12.8,
    "reasoning_nm": 12.8,
    "reasoning_definition": "莫尔晶胞（约 13 nm）"
   },
   "source": "Kerelsky et al., \"Maximized electron interactions at the magic angle in twisted bilayer graphene\", Nature 572, 95 (2019); arXiv:1812.08776v2 (\"Magic Angle Spectroscopy\")；证据卡逐条记录原文位置（docs/assets/families/evidence/kerelsky2019-gap.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/kerelsky2019-gap.json": "2c78e17acef1fdab232ef22f96d21f2a4a5e749152802033e02f84eedf2ffae2"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-COT-LATTICE",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "MgB2 behaves as a conventional type-II superconductor that tends to a triangular Abrikosov lattice; the earlier stripe patterns more likely came from imperfect surfaces.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Conclusion: prototypical type-II; patterns linked to sample preparation）。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "The vortices prefer a square lattice, which is the low-energy arrangement in MgB2.",
     "rule": "square_ground_state",
     "reason": "与 E3 矛盾：由实测间距算出的相互作用能，三角排列始终低于正方排列。（Results; Fig. 5C）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "MgB2 is a \"type-1.5\" superconductor whose vortices cluster into stripes and gossamer patterns at low field.",
     "rule": "type_one_point_five",
     "reason": "与 E1 矛盾：全部磁场下都没有看到条纹或蛛丝状图样。（Abstract; Introduction）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Strong pinning throughout the crystal freezes a disordered vortex glass everywhere.",
     "rule": "bulk_pinning",
     "reason": "与 E2、E4 矛盾：畸变和钉扎只在样品边缘，其余区域涡旋可移动且有序度随场增加。（Results: no pinning except at the edge）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cottet2014-lattice",
    "contradicted_by": {
     "paper_conclusion": [],
     "type_one_point_five": [
      "E1"
     ],
     "square_ground_state": [
      "E3"
     ],
     "bulk_pinning": [
      "E2",
      "E4"
     ]
    },
    "facts": {
     "E1": "Abstract; Conclusion",
     "E2": "Results; Fig. 5A",
     "E3": "Results; Fig. 5C",
     "E4": "Results; Fig. 4 bottom right"
    },
    "paper_conclusion_locator": "Conclusion: prototypical type-II; patterns linked to sample preparation",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 5000,
    "reasoning_nm": 451,
    "reasoning_definition": "涡旋间距（117.3 G 时约 0.45 μm）"
   },
   "source": "Cottet, Cantoni, Mansart, Alexander, Hébert, Zhigadlo, Karpinski & Carbone, \"Quantitative imaging of flux vortices in type-II superconductor MgB2 using Cryo-Lorentz Transmission Electron Microscopy\", arXiv:1401.4062v1 (2014)；证据卡逐条记录原文位置（docs/assets/families/evidence/cottet2014-lattice.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cottet2014-lattice.json": "811309794a3c0f20f86e74c651baeae2a8a7a137104ac97612521dca4e9aac40"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-ALT-STABILITY",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Species without any hydrogen bond are always the least stable ones.",
     "rule": "no_hbond_least_stable",
     "reason": "与 E1 矛盾：有 CH···OH 接触的 NINE（+91）比完全没有氢键的 THREE（+62）还高。（Table 1）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Relative stability is a property of the whole molecule and is not explained by the strength of the local hydrogen bond alone.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Results after Table 1: stability not simply explained by local H bonding）。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "The stronger the local hydrogen bond, the lower the energy, so the energy order follows the hydrogen-bond ranking.",
     "rule": "stronger_bond_lower_energy",
     "reason": "与 E2 矛盾：ELEVEN 的氢键排第二强，能量却是 +48，高于只有 CH···N 的 SEVEN（+38）。（Table 1 vs Figure 9）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "CH···O and CH···N contacts contribute nothing, so species having only them are as unstable as species with no hydrogen bond.",
     "rule": "ch_contacts_irrelevant",
     "reason": "与 E1 矛盾：SEVEN（+38）、SIX（+43）明显低于无氢键的 THREE（+62），与含 XH···Y 的 FIVE（+38）相当。（Table 1）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "altun2021-stability",
    "contradicted_by": {
     "paper_conclusion": [],
     "stronger_bond_lower_energy": [
      "E2"
     ],
     "no_hbond_least_stable": [
      "E1"
     ],
     "ch_contacts_irrelevant": [
      "E1"
     ]
    },
    "facts": {
     "E1": "Table 1",
     "E2": "Local mode analysis (Table 5 discussion; Figure 9)"
    },
    "paper_conclusion_locator": "Results after Table 1: stability not simply explained by local H bonding",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 0.5,
    "reasoning_nm": 0.5,
    "reasoning_definition": "整个分子（约 0.5 nm）"
   },
   "source": "Altun, Bleda & Trindle, \"Hydrogen Bonding in 3-hydroxy-2-butenamide and related isomers\", Molecules 26, 2623 (2021), doi:10.3390/molecules26092623；证据卡逐条记录原文位置（docs/assets/families/evidence/altun2021-stability.json）",
   "license": "CC BY 4.0; facts and numbers only; SI coordinates copied unchanged",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/altun2021-stability.json": "565568f10672106213ae6e2cd4de955a450980d1aea972ec0d1c671944b65caa"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-FOO-LAYERS",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 5.93. Slower lifting deposits about six times more particle layers from the same suspension; with the lattice unchanged, the thicker crystal gives the taller, narrower reflection peak.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Results 3.1: higher peaks from more particle layers at higher φ and lower v (Dimitrov-Nagayama)）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 0.17. Slower lifting packs the spheres more tightly and changes the lattice spacing, which sharpens the peak; the number of layers stays the same.",
     "rule": "speed_proportional+lattice_changes",
     "reason": "数值来自错误做法（把层数当成随提拉速度增大（k ∝ v），比值颠倒。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "C",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 5.93. Slower lifting packs the spheres more tightly and changes the lattice spacing, which sharpens the peak; the number of layers stays the same.",
     "rule": "lattice_changes",
     "reason": "数值正确，但结论是原文排除的解释：两种速度下峰位都在约 540 nm，晶格间距没有变；变化来自层数。（Results 3.1 (peak position unchanged near 540 nm)）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "k(0.28 µm/s) / k(1.66 µm/s) ≈ 0.17. Slower lifting deposits about six times more particle layers from the same suspension; with the lattice unchanged, the thicker crystal gives the taller, narrower reflection peak.",
     "rule": "speed_proportional",
     "reason": "结论措辞取自原文，但数值来自错误做法：把层数当成随提拉速度增大（k ∝ v），比值颠倒。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "fookes2023-layers",
    "value": 5.928571428571428,
    "shown": "5.93",
    "mistake_value": 0.16867469879518074,
    "mistake_rule": "speed_proportional",
    "decimals": 2,
    "unit": "",
    "facts": {
     "E1": "Methods 2.2.1; Results 3.1",
     "E2": "Results 3.1; Fig. 3b-c",
     "E3": "Results 3.1; Fig. 5; Table S2",
     "E4": "Results 3.1; Fig. 7"
    },
    "paper_conclusion_locator": "Results 3.1: higher peaks from more particle layers at higher φ and lower v (Dimitrov-Nagayama)",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 266,
    "reasoning_nm": 266,
    "reasoning_definition": "SiO₂ 球直径（266 nm）"
   },
   "source": "Fookes, Polo Parada & Fidalgo, \"A Robust Method for the Elaboration of SiO2-Based Colloidal Crystals as a Template for Inverse Opal Structures\", Sensors 23, 1433 (2023), doi:10.3390/s23031433 (Europe PMC PMC9920682)；证据卡逐条记录原文位置（docs/assets/families/evidence/fookes2023-layers.json）",
   "license": "CC BY 4.0; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/fookes2023-layers.json": "9bd43e07938766f5bd20e8c17a536ca25dcb3ee222e8187c6787851abbd6cc4b"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-MUH-SKYRMION",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "The conical phase, with the helix wave vector along the field.",
     "rule": "conical_phase",
     "reason": "与 E3 矛盾：锥形相的斑点沿磁场方向，而 A 相的斑点在严格垂直于磁场的平面内。（Main text p. 3-4; Fig. 1A）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "A single helix with its wave vector perpendicular to the field (the earlier interpretation), giving one pair of spots per domain.",
     "rule": "single_q_helix",
     "reason": "与 E2 矛盾：单一螺旋每个畴只给一对斑点，而实测是规则六边形上的六个斑点。（Main text p. 2-3: the A phase had been believed to be a single-Q helix）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "A lattice of skyrmion lines: three helices at 120 degrees to each other in the plane perpendicular to the field, a long-range-ordered spin crystal oriented by the field and decoupled from the atomic lattice.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Main text pp. 3-5: multi-Q structure of three helices perpendicular to B, independent of lattice orientation）。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "A multi-Q magnetic structure locked to the atomic lattice, as in the rare-earth magnets.",
     "rule": "lattice_pinned_multi_q",
     "reason": "与 E3 矛盾：被原子晶格钉住的结构会随晶轴取向改变图样，而这里的六重图样只跟随磁场。（Main text p. 6: rare-earth multi-Q structures are strongly pinned to the lattice）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "muhlbauer2009-skyrmion",
    "contradicted_by": {
     "paper_conclusion": [],
     "single_q_helix": [
      "E2"
     ],
     "conical_phase": [
      "E3"
     ],
     "lattice_pinned_multi_q": [
      "E3"
     ]
    },
    "facts": {
     "E1": "Main text p. 2 (hierarchy of energy scales)",
     "E2": "Main text p. 3; Fig. 2B",
     "E3": "Main text p. 3; Fig. 2C",
     "E4": "Main text p. 3-4; Fig. 1A, 2F",
     "E5": "Main text p. 3"
    },
    "paper_conclusion_locator": "Main text pp. 3-5: multi-Q structure of three helices perpendicular to B, independent of lattice orientation",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 19,
    "reasoning_nm": 19,
    "reasoning_definition": "磁螺旋周期（约 19 nm）"
   },
   "source": "Mühlbauer, Binz, Jonietz, Pfleiderer, Rosch, Neubauer, Georgii & Böni, \"Skyrmion Lattice in a Chiral Magnet\", Science 323, 915 (2009); arXiv:0902.1968v1；证据卡逐条记录原文位置（docs/assets/families/evidence/muhlbauer2009-skyrmion.json）",
   "license": "arXiv.org perpetual non-exclusive license; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/muhlbauer2009-skyrmion.json": "6a8e1706d4a1f3a215514787e7eefe673d66dbd387da533aef85b64dab301a19"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-FIL-RBCS",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Change of the optical gap ~ 0.075 eV. The shift comes from the electronic states of Rb+ itself, which form a new band edge; the tilt of the octahedra plays no part.",
     "rule": "cation_states",
     "reason": "数值正确，但结论是原文排除的解释：阳离子的电子态离带边几个 eV，去掉阳离子后能带几乎不变；原文把带隙变化归于八面体倾转。（Main text p. 2; Fig. 1b (cation states several eV from the band edges)）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Change of the optical gap ~ 0.075 eV. The gap widens: the smaller Rb+ lets the PbI6 octahedra tilt further from the straight Pb-I-Pb geometry, and a larger tilt raises the gap (the calculations had predicted a 40 nm blue shift).",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Main text, Rb/Cs experiment: blue shift assigned to the more pronounced octahedral tilt; predicted shift 40 nm）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Change of the optical gap ~ -0.075 eV. The gap widens: the smaller Rb+ lets the PbI6 octahedra tilt further from the straight Pb-I-Pb geometry, and a larger tilt raises the gap (the calculations had predicted a 40 nm blue shift).",
     "rule": "blue_shift_read_as_narrowing",
     "reason": "结论措辞取自原文，但数值来自错误做法：把波长变短（蓝移）当成带隙变小，符号取反。",
     "is_correct": false,
     "plausibility": 2
    },
    {
     "label": "D",
     "value": "Change of the optical gap ~ -0.075 eV. The shift comes from the electronic states of Rb+ itself, which form a new band edge; the tilt of the octahedra plays no part.",
     "rule": "blue_shift_read_as_narrowing+cation_states",
     "reason": "数值来自错误做法（把波长变短（蓝移）当成带隙变小，符号取反。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "filip2014-rbcs",
    "value": 0.07486956521739119,
    "shown": "0.075",
    "mistake_value": -0.07486956521739119,
    "mistake_rule": "blue_shift_read_as_narrowing",
    "decimals": 3,
    "unit": "eV",
    "facts": {
     "E1": "Main text (synthesis paragraph); Fig. 4b",
     "E2": "Main text (proof-of-concept paragraph); Fig. 4b",
     "E3": "Fig. 3a; Supplementary Table 1",
     "E4": "Main text p. 2; Fig. 1b"
    },
    "paper_conclusion_locator": "Main text, Rb/Cs experiment: blue shift assigned to the more pronounced octahedral tilt; predicted shift 40 nm",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 0.64,
    "reasoning_nm": 0.64,
    "reasoning_definition": "Pb–I–Pb 连接（两段 Pb–I 键约 0.64 nm）"
   },
   "source": "Filip, Eperon, Snaith & Giustino, \"Steric engineering of metal-halide perovskites with tunable optical band gaps\", Nat. Commun. 5, 5757 (2014), doi:10.1038/ncomms6757；证据卡逐条记录原文位置（docs/assets/families/evidence/filip2014-rbcs.json）",
   "license": "© 2014 Macmillan Publishers Limited, all rights reserved (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/filip2014-rbcs.json": "2c13587fdda85643bbd472208d90edff056ec485d688d93c48ba91b367a1e9a8"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-FIL-ANGLE",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Distortion of the PbI6 octahedra themselves dominates the gap.",
     "rule": "octahedral_distortion",
     "reason": "与 E2 矛盾：实测八面体几乎正则，而且完全正则的八面体模型已能重现带隙随键角的变化。（Main text p. 2: the measured octahedra are regular to within 0.1 per cent and 4 degrees）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Changes of the Pb-I bond length dominate the gap.",
     "rule": "bond_length",
     "reason": "与 E4 矛盾：键长差异只带来约 0.2 eV，而键角变化可达约 1 eV。（Fig. 2 caption: bond-length spread accounts for about 0.2 eV）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "The orbitals of the cation form the band edges and set the gap directly.",
     "rule": "cation_orbitals",
     "reason": "与 E1 矛盾：去掉阳离子后带隙附近的能带几乎不变，说明带边不是阳离子轨道。（Fig. 1b: the cation states are far from the gap）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "The gap is set by the largest Pb-I-Pb bond angle, that is by the octahedral tilt; the cation acts only through its steric size, by controlling that tilt.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Abstract and Fig. 3b: the gap correlates with the largest metal-halide-metal bond angle, tuned through the steric size of the cation）。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "filip2014-angle",
    "contradicted_by": {
     "paper_conclusion": [],
     "cation_orbitals": [
      "E1"
     ],
     "bond_length": [
      "E4"
     ],
     "octahedral_distortion": [
      "E2"
     ]
    },
    "facts": {
     "E1": "Main text p. 2; Fig. 1b",
     "E2": "Main text p. 2 (X-ray data)",
     "E3": "Fig. 2; Fig. 3b",
     "E4": "Fig. 2 caption"
    },
    "paper_conclusion_locator": "Abstract and Fig. 3b: the gap correlates with the largest metal-halide-metal bond angle, tuned through the steric size of the cation",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 0.64,
    "reasoning_nm": 0.64,
    "reasoning_definition": "Pb–I–Pb 连接（约 0.64 nm）"
   },
   "source": "Filip, Eperon, Snaith & Giustino, \"Steric engineering of metal-halide perovskites with tunable optical band gaps\", Nat. Commun. 5, 5757 (2014), doi:10.1038/ncomms6757；证据卡逐条记录原文位置（docs/assets/families/evidence/filip2014-angle.json）",
   "license": "© 2014 Macmillan Publishers Limited, all rights reserved (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/filip2014-angle.json": "a0c6000ff773f37487d221d2f7f5228fd9430c6f58c2718f16f63a132f0fcb6f"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-JIA-CHANNEL",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "The substrate has to be fully unfolded to pass the phi clamp, and may form an alpha helix again in the wider throat and tube below it.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Main text: the clamp may only allow passage of fully unfolded polypeptides; throat and tube can accommodate an alpha helix）。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "Lethal factor passes through as an intact folded domain.",
     "rule": "folded_domain",
     "reason": "与 E1 矛盾：孔口内径约 20 A，容不下折叠结构域，更过不了 6 A 的夹子。（Main text: the mouth cannot accommodate folded domains）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "The substrate passes the phi clamp as preformed alpha helices.",
     "rule": "helix_through_clamp",
     "reason": "与 E2 矛盾：phi 夹只有 6 A，比 alpha 螺旋还窄。（Main text: the 6 A clamp is smaller than secondary-structure elements）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "The substrate has to stay fully extended along the whole channel, because no part of it is wide enough for a helix.",
     "rule": "extended_throughout",
     "reason": "与 E3 矛盾：夹子下方的喉部与管道有 12–18 A，足以容纳 alpha 螺旋。（Main text: the throat and tube (over 12 A) can hold an alpha helix）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "jiang2015-channel",
    "contradicted_by": {
     "paper_conclusion": [],
     "folded_domain": [
      "E1"
     ],
     "helix_through_clamp": [
      "E2"
     ],
     "extended_throughout": [
      "E3"
     ]
    },
    "facts": {
     "E1": "Main text (translocation channel); Fig. 3a",
     "E2": "Main text (translocation channel); Fig. 3a-b, Fig. 4",
     "E3": "Main text (translocation channel); Fig. 3a",
     "E4": "Main text (translocation channel and phi-clamp paragraphs)"
    },
    "paper_conclusion_locator": "Main text: the clamp may only allow passage of fully unfolded polypeptides; throat and tube can accommodate an alpha helix",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 10.5,
    "reasoning_nm": 3.0,
    "reasoning_definition": "通道各段的内径（0.6–3 nm）"
   },
   "source": "Jiang, Pentelute, Collier & Zhou, \"Atomic structure of anthrax protective antigen pore elucidates toxin translocation\", Nature 521, 545 (2015), doi:10.1038/nature14247 (author manuscript PMC4519040; PDB 3J9C)；证据卡逐条记录原文位置（docs/assets/families/evidence/jiang2015-channel.json）",
   "license": "PMC author manuscript (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/jiang2015-channel.json": "60005bd18664f2b96cedaf735baf62a1f7ee7838d3a073c7d481d77de8558824"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-JIA-SEQUENCE",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "The beta barrel forms first and pulls the domains together, which then closes the phi clamp.",
     "rule": "barrel_first",
     "reason": "与 E1 矛盾：有一类颗粒已经收拢并装好 phi 夹，却还没有 beta 桶，说明桶不是先形成的。（Main text (third layer); Extended Data Fig. 8）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "The 2beta10-2beta11 loop acts as the pH sensor and flips first; the domains then converge and assemble the phi clamp, and the beta barrel forms afterwards as a consequence, not as the cause.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Main text (pH sensing and the three layers of conformational change); Extended Data Fig. 8）。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "Protonation of histidine residues in the sensing loop triggers the conversion.",
     "rule": "histidine_sensor",
     "reason": "与 E4 矛盾：该环不含组氨酸，原文据此排除组氨酸质子化这一常见机制。（Main text (pH sensing): the loop possesses no His）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "The domain 2 / domain 4 interface is the pH sensor: breaking it is what makes the structure respond to acid.",
     "rule": "interface_is_sensor",
     "reason": "与 E5 矛盾：界面处的突变只移动 pH 阈值，并不取消 pH 敏感性；取消敏感性的是该环上的 Asn422/Asp425。（Main text (pH sensing): such mutations change the threshold but keep pH sensitivity）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "jiang2015-sequence",
    "contradicted_by": {
     "paper_conclusion": [],
     "barrel_first": [
      "E1"
     ],
     "histidine_sensor": [
      "E4"
     ],
     "interface_is_sensor": [
      "E5"
     ]
    },
    "facts": {
     "E1": "Main text (third layer); Extended Data Fig. 8",
     "E2": "Main text (pH sensing); Extended Data Fig. 6",
     "E3": "Main text (pH sensing)",
     "E4": "Main text (pH sensing)",
     "E5": "Main text (pH sensing)"
    },
    "paper_conclusion_locator": "Main text (pH sensing and the three layers of conformational change); Extended Data Fig. 8",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 10.5,
    "reasoning_nm": 1.2,
    "reasoning_definition": "感受 pH 的环与其邻近相互作用（约 1 nm）"
   },
   "source": "Jiang, Pentelute, Collier & Zhou, \"Atomic structure of anthrax protective antigen pore elucidates toxin translocation\", Nature 521, 545 (2015), doi:10.1038/nature14247 (author manuscript PMC4519040; PDB 3J9C)；证据卡逐条记录原文位置（docs/assets/families/evidence/jiang2015-sequence.json）",
   "license": "PMC author manuscript (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/jiang2015-sequence.json": "ce7c9ab2219d28a5038407cfcdfd3e1aeaf2ab958727328d11c2d41f407ea6de"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVQ-JIA-CLAMP",
   "family": "evidence_quantity",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Radius of the Phe427 ring in the prepore ~ 16.13 Å. The phi clamp is already present in the prepore and only needs the Phe427 side chains to rotate into place; the protein backbone does not move.",
     "rule": "side_chain_rotation",
     "reason": "数值正确，但结论是原文排除的解释：前孔中七个残基相距约 14 A、围出 30 A 的孔，仅靠侧链转动无法形成 6 A 的夹子；原文给出结构域整体旋转 15 度、远端内移 12 A。（Main text (phi-clamp paragraph): in the prepore the loops do not engage each other）",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Radius of the Phe427 ring in the prepore ~ 14.00 Å. The ring is about 32 A across in the prepore, matching its 30 A hole, so the 6 A clamp cannot be made by side-chain rotation alone: whole domains must swing inwards, as the 15 degree rotation and 12 A displacement show.",
     "rule": "hexagon_instead_of_heptagon",
     "reason": "结论措辞取自原文，但数值来自错误做法：把七个残基当作正六边形的顶点（六边形的边长等于半径），忽略 PA 是七聚体。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Radius of the Phe427 ring in the prepore ~ 16.13 Å. The ring is about 32 A across in the prepore, matching its 30 A hole, so the 6 A clamp cannot be made by side-chain rotation alone: whole domains must swing inwards, as the 15 degree rotation and 12 A displacement show.",
     "rule": "correct",
     "reason": "数值按原文数据计算正确，结论即原文结论（Main text (phi clamp and second layer); Extended Data Fig. 5a; Fig. 5c）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "Radius of the Phe427 ring in the prepore ~ 14.00 Å. The phi clamp is already present in the prepore and only needs the Phe427 side chains to rotate into place; the protein backbone does not move.",
     "rule": "hexagon_instead_of_heptagon+side_chain_rotation",
     "reason": "数值来自错误做法（把七个残基当作正六边形的顶点（六边形的边长等于半径），忽略 PA 是七聚体。），结论也是原文排除的解释。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "jiang2015-clamp",
    "value": 16.133354096737406,
    "shown": "16.13",
    "mistake_value": 14.000000000000002,
    "mistake_rule": "hexagon_instead_of_heptagon",
    "decimals": 2,
    "unit": "angstrom",
    "facts": {
     "E1": "Main text (phi-clamp paragraph); Extended Data Fig. 5a",
     "E2": "Main text (phi-clamp paragraph); Fig. 4",
     "E3": "Main text (second layer); Fig. 5c",
     "E4": "Fig. 5c caption"
    },
    "paper_conclusion_locator": "Main text (phi clamp and second layer); Extended Data Fig. 5a; Fig. 5c",
    "notes": [],
    "limits": "数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。"
   },
   "scales": {
    "input_nm": 10.5,
    "reasoning_nm": 3.2,
    "reasoning_definition": "前孔中 Phe427 环的直径（约 3.2 nm）"
   },
   "source": "Jiang, Pentelute, Collier & Zhou, \"Atomic structure of anthrax protective antigen pore elucidates toxin translocation\", Nature 521, 545 (2015), doi:10.1038/nature14247 (author manuscript PMC4519040; PDB 3J9C)；证据卡逐条记录原文位置（docs/assets/families/evidence/jiang2015-clamp.json）",
   "license": "PMC author manuscript (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/jiang2015-clamp.json": "ea8069d9472fc22bcb6de6b4f349e2fc1012a7507bddb1d01424587c37643f22"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-KCS-COLLAPSE",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Inactivation is the closing of the intracellular activation gate.",
     "rule": "gate_closure",
     "reason": "与 E1 矛盾：两种突变体的激活门都被交联固定在 22 A 的开放状态，失活发生在门开着的时候。（Results: both constructs are cross-linked open, at 22 A）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "The collapsed filter is a crystallization artefact unrelated to inactivation.",
     "rule": "collapse_unrelated",
     "reason": "与 E3 矛盾：在同样的交联与结晶条件下，不失活的 E71A 过滤器并未塌缩，说明塌缩与失活相关而非结晶假象。（Discussion: the well-established non-inactivating E71A mutant prevented the collapse）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Deep C-type inactivation is a collapse of the selectivity filter that happens while the activation gate stays open; a network of water molecules behind the filter stabilizes the collapsed conformation.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Discussion: the non-inactivating E71A mutant prevented the collapse, so the deep inactivated state has a collapsed filter）。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "Inactivation comes from losing the potassium ion in the central cavity below the filter.",
     "rule": "cavity_ion_loss",
     "reason": "与 E4 矛盾：失活态的中心空腔仍有离子，变化发生在过滤器本身（位点 2、3 失去离子并塌缩）。（Results: the inactivated structure still holds a density modelled as a cavity ion, while the filter itself has collapsed）",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "cuello2017-collapse",
    "contradicted_by": {
     "paper_conclusion": [],
     "gate_closure": [
      "E1"
     ],
     "collapse_unrelated": [
      "E3"
     ],
     "cavity_ion_loss": [
      "E4"
     ]
    },
    "facts": {
     "E1": "Results (locked-open KcsA; open and conductive); Fig. 3h",
     "E2": "Results (mutations that modulate inactivation); Fig. 3d-e",
     "E3": "Results (open and conductive); Fig. 4a, 4d",
     "E4": "Results (open and deep C-type inactivated); Fig. 6a",
     "E5": "Results (inactivating waters); Fig. 6a-b"
    },
    "paper_conclusion_locator": "Discussion: the non-inactivating E71A mutant prevented the collapse, so the deep inactivated state has a collapsed filter",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 2.2,
    "reasoning_nm": 0.8,
    "reasoning_definition": "过滤器在 Gly77 处的亚基间距（0.6–0.8 nm）"
   },
   "source": "Cuello, Cortes, Perozo et al., \"The gating cycle of a K+ channel at atomic resolution\", eLife 6, e28032 (2017), doi:10.7554/eLife.28032 (PMC5711375; PDB 5VK6, 5VKE, 5VKH)；证据卡逐条记录原文位置（docs/assets/families/evidence/cuello2017-collapse.json）",
   "license": "CC BY 4.0; facts and numbers only",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/cuello2017-collapse.json": "11e2b525906135668634cd23e7ae1a34252e16c98b97d591d7588104378101df"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-EVE-RAS-DOMAIN",
   "family": "evidence_elimination",
   "family_version": "0.1.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "GDP is still bound in a closed nucleotide pocket, and the apparent displacement is a modelling error.",
     "rule": "nucleotide_bound",
     "reason": "与 E5 矛盾：制备时用 apyrase 除去了 GDP，而且 GDP 或 GTP 类似物会破坏该复合物，复合物本身就是无核苷酸状态。（Crystallization of the complex: apyrase removed the GDP, which otherwise disrupts the complex）",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Nb35 pushed the alpha-helical domain aside, so the displacement is an artefact of the crystallization aid.",
     "rule": "nanobody_artefact",
     "reason": "与 E1、E2 矛盾：Nb35 结合在 Gbeta 与 Ras 结构域的界面，既不接触也不与螺旋结构域重叠；无纳米抗体的电镜同样看到该结构域位置可变。（Fig. S6: Nb35 neither contacts the helical domain nor overlaps it after superposition）",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "The two domains stay together in solution; only the crystal lattice pulls them apart.",
     "rule": "crystal_packing_only",
     "reason": "与 E3 矛盾：溶液中的单颗粒电镜已经看到该结构域位置可变，并非晶体中才分开。（Fig. 1b: EM in detergent solution already shows variable positions）",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Removing the nucleotide unlocks the two domains, so the alpha-helical domain becomes mobile; the position seen in the crystal is only one of the conformations it can adopt, selected by crystal packing.",
     "rule": "correct",
     "reason": "与全部事实一致，即原文结论（Structure of activated Gs: the position most likely reflects one of an ensemble of conformations, stabilized by crystal packing）。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "rasmussen2011-domain",
    "contradicted_by": {
     "paper_conclusion": [],
     "nanobody_artefact": [
      "E1",
      "E2"
     ],
     "crystal_packing_only": [
      "E3"
     ],
     "nucleotide_bound": [
      "E5"
     ]
    },
    "facts": {
     "E1": "Structure of activated Gs; Fig. 2b, Fig. S6",
     "E2": "Structure of activated Gs; Fig. S6",
     "E3": "Crystallization of the complex (EM analysis); Fig. 1b",
     "E4": "Structure of activated Gs (DEER reference)",
     "E5": "Crystallization of the complex; Structure of activated Gs"
    },
    "paper_conclusion_locator": "Structure of activated Gs: the position most likely reflects one of an ensemble of conformations, stabilized by crystal packing",
    "unique_survivor": true,
    "limits": "排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。"
   },
   "scales": {
    "input_nm": 11,
    "reasoning_nm": 2.0,
    "reasoning_definition": "Gs-alpha 两个结构域之间的位移（约 2 nm）"
   },
   "source": "Rasmussen et al., \"Crystal structure of the beta2 adrenergic receptor-Gs protein complex\", Nature 477, 549 (2011), doi:10.1038/nature10361 (author manuscript PMC3184188; PDB 3SN6)；证据卡逐条记录原文位置（docs/assets/families/evidence/rasmussen2011-domain.json）",
   "license": "PMC author manuscript (not CC); facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/evidence/rasmussen2011-domain.json": "360216011ba992e64d70da1d2e4d27c770c3a2b83b1c4b2ff05f2a04294f03d1"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-CU",
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   "correct_label": "B",
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   "option_audit": [
    {
     "label": "A",
     "value": "6 at 3.615 Å",
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     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "12 at 2.556 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：12 个，距离 2.5562 Å。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "3 at 2.556 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "6 at 2.556 Å",
     "rule": "mixed_shells",
     "reason": "距离取最近壳层，个数却取第二壳层。",
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   ],
   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "18 at 2.556 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
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   "rank_shortcuts": null,
   "checks": {
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     {
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     {
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     {
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    ],
    "in_cell_count": 3,
    "shell_tolerance_A": 0.001,
    "a_A": 3.615,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.36150000000000004,
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   "source": "https://www.crystallography.net/cod/5000216.html",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
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  },
  {
   "id": "FA-PEAK-CU",
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     "reason": "取最低指数反射 (1 0 0)，未检查它是否消光。",
     "is_correct": false,
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    {
     "label": "B",
     "rule": "correct",
     "value": "43.32",
     "reason": "第一个 |F|≠0 的反射 (1 1 1)，d = 2.08712 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
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    {
     "label": "C",
     "rule": "second_allowed_peak",
     "value": "50.45",
     "reason": "报告了第二个非零反射 (2 0 0)。",
     "is_correct": false,
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    {
     "label": "D",
     "rule": "index_sum_for_root",
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     "reason": "立方面间距公式把 √(h²+k²+l²) 写成 h+k+l。",
     "is_correct": false,
     "absolute_error": "36.15308908080525"
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   ],
   "excluded_candidates": [
    {
     "rule": "assumed_lattice_rule:P",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "assumed_lattice_rule:I",
     "value": "35.08",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "theta_not_two_theta",
     "value": "21.66",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "d_equals_a",
     "value": "24.61",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bragg_missing_factor_two",
     "value": "95.15",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
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    "mirror_pair_cue": false
   },
   "checks": {
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    "skipped_extinct": [
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     "(1 1 0)"
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    "wavelength_A": 1.5406,
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   },
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    "input_nm": 0.36150000000000004,
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   "source": "https://www.crystallography.net/cod/5000216.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-FE",
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   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "6 at 2.482 Å",
     "rule": "mixed_shells",
     "reason": "距离取最近壳层，个数却取第二壳层。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "6 at 2.866 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "8 at 2.482 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：8 个，距离 2.4820 Å。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "1 at 2.482 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
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   ],
   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "14 at 2.482 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
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    "shells": [
     {
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     {
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     {
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    ],
    "in_cell_count": 1,
    "shell_tolerance_A": 0.001,
    "a_A": 2.866,
    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
    "input_nm": 0.2866,
    "reasoning_nm": 0.4964057614492402,
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   "source": "https://www.crystallography.net/cod/9000657.html",
   "license": "COD (public domain)",
   "legacy_qa": null,
   "input_hashes": {
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-PEAK-FE",
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    "value": "44.68",
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    {
     "label": "A",
     "rule": "theta_not_two_theta",
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     "reason": "报告了 θ 而非 2θ。",
     "is_correct": false,
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    {
     "label": "B",
     "rule": "assumed_lattice_rule:P",
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     "reason": "按简单立方晶格规则判断，得到 (1 0 0)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
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    {
     "label": "C",
     "rule": "correct",
     "value": "44.68",
     "reason": "第一个 |F|≠0 的反射 (1 1 0)，d = 2.02657 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00015486705424"
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    {
     "label": "D",
     "rule": "assumed_lattice_rule:F",
     "value": "55.49",
     "reason": "按面心晶格规则判断，得到 (1 1 1)；与实际坐标算出的结构因子不符。",
     "is_correct": false,
     "absolute_error": "10.81015486705424"
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   ],
   "excluded_candidates": [
    {
     "rule": "lowest_index_ignoring_extinction",
     "value": "31.18",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "second_allowed_peak",
     "value": "65.03",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_a",
     "value": "31.18",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "bragg_missing_factor_two",
     "value": "98.96",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "index_sum_for_root",
     "value": "65.03",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
    "always_smallest": false,
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    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "first_reflection": "(1 1 0)",
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    "skipped_extinct": [
     "(1 0 0)"
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    "wavelength_A": 1.5406,
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   "scales": {
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   "source": "https://www.crystallography.net/cod/9000657.html",
   "license": "COD (public domain)",
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   "input_hashes": {
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   "catalog_admitted": false
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  {
   "id": "FA-COORD-MG",
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   "option_audit": [
    {
     "label": "A",
     "value": "12 at 3.197 Å",
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     "reason": "把整个配位多面体（12 个，含 3.197–3.209 Å 的较长键）都算作最短距离的一组。",
     "is_correct": false
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    {
     "label": "B",
     "value": "6 at 3.209 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
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    {
     "label": "C",
     "value": "1 at 3.197 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
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    {
     "label": "D",
     "value": "6 at 3.197 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：6 个，距离 3.1969 Å。",
     "is_correct": true
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   ],
   "excluded_candidates": [
    {
     "rule": "mixed_shells",
     "value": "6 at 3.197 Å",
     "reason": "无效或与其他选项重复"
    },
    {
     "rule": "merged_first_two_shells",
     "value": "12 at 3.197 Å",
     "reason": "无效或与其他选项重复"
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   ],
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   "rank_shortcuts": null,
   "checks": {
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     {
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     "alpha": 90.0,
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     "gamma": 120.0
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    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
   },
   "scales": {
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   "id": "FA-PEAK-MG",
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    "tolerance": "0.005"
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     "label": "A",
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    {
     "label": "B",
     "rule": "lowest_index_ignoring_extinction",
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     "reason": "取最低角反射 (0 0 1)，未检查它是否消光。",
     "is_correct": false,
     "absolute_error": "15.18098091994843"
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    {
     "label": "C",
     "rule": "cubic_d_formula",
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     "is_correct": false,
     "absolute_error": "4.40098091994843"
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    {
     "label": "D",
     "rule": "correct",
     "value": "32.18",
     "reason": "第一个 |F|≠0 的反射 (0 1 0)，d = 2.77931 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
     "absolute_error": "0.00098091994843"
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   ],
   "excluded_candidates": [
    {
     "rule": "d_equals_c",
     "value": "17.00",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "second_allowed_peak",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_a",
     "value": "27.78",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "bragg_missing_factor_two",
     "value": "67.33",
     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "strongest_not_first",
     "value": "34.40",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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   "rank_shortcuts": {
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    "always_largest": true,
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   },
   "checks": {
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    "skipped_extinct": [
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    "wavelength_A": 1.5406,
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    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
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  {
   "id": "FA-COORD-ALNI",
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   "option_audit": [
    {
     "label": "A",
     "value": "8 at 2.495 Å",
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     "reason": "含周期映像的最近壳层：8 个，距离 2.4950 Å。",
     "is_correct": true
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    {
     "label": "B",
     "value": "1 at 2.495 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
     "is_correct": false
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    {
     "label": "C",
     "value": "12 at 4.778 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
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    {
     "label": "D",
     "value": "6 at 2.881 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
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   ],
   "excluded_candidates": [
    {
     "rule": "mixed_shells",
     "value": "12 at 2.495 Å",
     "reason": "有效但未选（可信度排序）"
    },
    {
     "rule": "merged_first_two_shells",
     "value": "20 at 2.495 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
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   "checks": {
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     {
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    "in_cell_count": 1,
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    "limits": "理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。"
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   "scales": {
    "input_nm": 0.28809999999999997,
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   "id": "FA-PEAK-ALNI",
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     "label": "A",
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     "reason": "第一个 |F|≠0 的反射 (1 0 0)，d = 2.88100 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
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    {
     "label": "B",
     "rule": "assumed_lattice_rule:I",
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     "is_correct": false,
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     "label": "C",
     "rule": "assumed_lattice_rule:F",
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     "reason": "按面心晶格规则判断，得到 (1 1 1)；与实际坐标算出的结构因子不符。",
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    {
     "label": "D",
     "rule": "bragg_missing_factor_two",
     "value": "64.65",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
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   ],
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    {
     "rule": "d_equals_a",
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     "reason": "too close to the correct value"
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    {
     "rule": "theta_not_two_theta",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "second_allowed_peak",
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    {
     "rule": "strongest_not_first",
     "value": "44.43",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "checks": {
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  {
   "id": "FA-COORD-B5H9",
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   "option_audit": [
    {
     "label": "A",
     "value": "2 at 1.654 Å",
     "rule": "merged_first_two_shells",
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     "is_correct": false
    },
    {
     "label": "B",
     "value": "1 at 1.654 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：1 个，距离 1.6543 Å。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "1 at 1.743 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "3 at 1.654 Å",
     "rule": "whole_coordination_polyhedron",
     "reason": "把整个配位多面体（3 个，含 1.654–1.827 Å 的较长键）都算作最短距离的一组。",
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   ],
   "excluded_candidates": [
    {
     "rule": "no_periodic_images",
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    {
     "rule": "mixed_shells",
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   ],
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     "label": "A",
     "rule": "theta_not_two_theta",
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    {
     "label": "B",
     "rule": "correct",
     "value": "8.66",
     "reason": "第一个 |F|≠0 的反射 (0 1 0)，d = 10.20100 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
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    {
     "label": "C",
     "rule": "bragg_missing_factor_two",
     "value": "17.37",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
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    {
     "label": "D",
     "rule": "strongest_not_first",
     "value": "21.61",
     "reason": "把最强的反射 (1 -1 -2) 当作第一个峰（混淆了强度与出现角度）。",
     "is_correct": false,
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   ],
   "excluded_candidates": [
    {
     "rule": "cubic_d_formula",
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    {
     "rule": "d_equals_c",
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     "reason": "too close to the correct value"
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    {
     "rule": "d_equals_a",
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     "reason": "too close to the correct value"
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    {
     "rule": "second_allowed_peak",
     "value": "12.26",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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   "checks": {
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   "source": "https://www.crystallography.net/cod/1521678.html",
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     "value": "4 at 2.074 Å",
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    {
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     "value": "1 at 1.939 Å",
     "rule": "no_periodic_images",
     "reason": "只数表中这一个晶胞内的原子，漏掉周期映像。",
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    {
     "label": "C",
     "value": "2 at 1.939 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：2 个，距离 1.9388 Å。",
     "is_correct": true
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    {
     "label": "D",
     "value": "6 at 1.939 Å",
     "rule": "whole_coordination_polyhedron",
     "reason": "把整个配位多面体（6 个，含 1.939–2.074 Å 的较长键）都算作最短距离的一组。",
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   "excluded_candidates": [
    {
     "rule": "merged_first_two_shells",
     "value": "6 at 1.939 Å",
     "reason": "无效或与其他选项重复"
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    {
     "rule": "same_species_shell",
     "value": "4 at 4.147 Å",
     "reason": "有效但未选（可信度排序）"
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    {
     "rule": "mixed_shells",
     "value": "4 at 1.939 Å",
     "reason": "有效但未选（可信度排序）"
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   ],
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   "scales": {
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    {
     "label": "B",
     "rule": "correct",
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     "reason": "第一个 |F|≠0 的反射 (0 0 2)，d = 6.36500 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
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     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
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    {
     "label": "D",
     "rule": "cubic_d_formula",
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     "is_correct": false,
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   ],
   "excluded_candidates": [
    {
     "rule": "d_equals_c",
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    {
     "rule": "theta_not_two_theta",
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    {
     "rule": "second_allowed_peak",
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     "reason": "valid but not selected (rank balance / plausibility)"
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    {
     "rule": "d_equals_a",
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     "rule": "strongest_not_first",
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     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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   "checks": {
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     "label": "C",
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    {
     "label": "D",
     "value": "1 at 1.822 Å",
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    {
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    {
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    {
     "rule": "merged_first_two_shells",
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     "label": "A",
     "rule": "d_equals_a",
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     "reason": "把晶面间距当作晶格常数 a。",
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     "label": "B",
     "rule": "lowest_index_ignoring_extinction",
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     "rule": "d_equals_c",
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    {
     "rule": "theta_not_two_theta",
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     "label": "C",
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    {
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     "rule": "theta_not_two_theta",
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     "rule": "second_allowed_peak",
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    {
     "rule": "d_equals_a",
     "value": "14.12",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "bragg_missing_factor_two",
     "value": "12.52",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
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   "rank_shortcuts": {
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    "always_second": true,
    "always_third": false,
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   },
   "checks": {
    "first_reflection": "(0 0 1)",
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     "alpha": 76.475,
     "beta": 87.682,
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    "limits": "运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。"
   },
   "scales": {
    "input_nm": 1.4529999999999998,
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   "catalog_admitted": false
  },
  {
   "id": "FA-COORD-HAP",
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    {
     "label": "A",
     "value": "2 at 1.496 Å",
     "rule": "mixed_shells",
     "reason": "距离取最近壳层，个数却取第二壳层。",
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    {
     "label": "B",
     "value": "2 at 4.146 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
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    },
    {
     "label": "C",
     "value": "2 at 1.602 Å",
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     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "1 at 1.496 Å",
     "rule": "correct",
     "reason": "含周期映像的最近壳层：1 个，距离 1.4960 Å。",
     "is_correct": true
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   ],
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    {
     "rule": "no_periodic_images",
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    {
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     "label": "A",
     "rule": "theta_not_two_theta",
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    {
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     "rule": "cubic_d_formula",
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     "is_correct": false,
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    {
     "label": "C",
     "rule": "correct",
     "value": "10.86",
     "reason": "第一个 |F|≠0 的反射 (0 1 0)，d = 8.14064 Å，2θ = 2 arcsin(λ/2d)。",
     "is_correct": true,
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    {
     "label": "D",
     "rule": "bragg_missing_factor_two",
     "value": "21.82",
     "reason": "布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。",
     "is_correct": false,
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     "rule": "d_equals_c",
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    {
     "rule": "second_allowed_peak",
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     "rule": "d_equals_a",
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    {
     "rule": "strongest_not_first",
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     "is_correct": true
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    {
     "label": "B",
     "value": "2 at 3.894 Å",
     "rule": "same_species_shell",
     "reason": "数成与中心同种元素的最近壳层。",
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    {
     "label": "C",
     "value": "9 at 2.413 Å",
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     "reason": "把整个配位多面体（9 个，含 2.413–2.657 Å 的较长键）都算作最短距离的一组。",
     "is_correct": false
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    {
     "label": "D",
     "value": "2 at 2.444 Å",
     "rule": "second_shell",
     "reason": "报告了第二壳层（更远的一组）而非最近壳层。",
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    {
     "rule": "no_periodic_images",
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     "reason": "无效或与其他选项重复"
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    {
     "rule": "merged_first_two_shells",
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    {
     "rule": "mixed_shells",
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     "label": "B",
     "rule": "second_allowed_peak",
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     "label": "C",
     "rule": "cubic_d_formula",
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     "label": "D",
     "rule": "strongest_not_first",
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     "reason": "把最强的反射 (4 0 0) 当作第一个峰（混淆了强度与出现角度）。",
     "is_correct": false,
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    {
     "rule": "lowest_index_ignoring_extinction",
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    {
     "rule": "d_equals_c",
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    {
     "rule": "theta_not_two_theta",
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    {
     "rule": "d_equals_a",
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    {
     "rule": "bragg_missing_factor_two",
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     "label": "D",
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     "rule": "peptide_omega",
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     "label": "B",
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     "label": "C",
     "value": "polyproline II",
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     "reason": "距离 171°，明显更远。",
     "is_correct": false
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    {
     "label": "D",
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     "rule": "path_length_distance",
     "value": "0.003",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.4148526730639781"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.418",
     "reason": "r = 2.1136 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.0001473269360219"
    },
    {
     "label": "C",
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "未计算距离，默认 r≈R0，直接取 E=0.5。",
     "is_correct": false,
     "absolute_error": "0.0821473269360219"
    },
    {
     "label": "D",
     "rule": "closest_atom_pair",
     "value": "0.583",
     "reason": "用两残基间最近的重原子对距离（1.891 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.1651473269360219"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "complement",
     "value": "0.582",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "inverse_square_law",
     "value": "0.472",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 2.113642905033866,
    "R0_nm": 2.0,
    "path_length_nm": 5.318757456237669,
    "efficiency": 0.4178526730639781,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 4.7069032133665125,
    "reasoning_nm": 2.113642905033866,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1A6M",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1A6M.pdb": "e13d8d4c0def951f3b715e1980081d30fa7b8a4bb9cfa127c88d4b2b8bc9f7a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1A6M-DS-2-6",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Ile99–Leu104",
     "rule": "both_out",
     "reason": "Cα–Cα 7.77 Å、Cβ–Cβ 6.89 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Ala53–Ala57",
     "rule": "calpha_only",
     "reason": "Cα–Cα 6.18 Å 在窗口内，但 Cβ–Cβ 6.23 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Leu2–Glu6",
     "rule": "correct",
     "reason": "Cα–Cα 5.77 Å，Cβ–Cβ 4.09 Å，两项均在窗口内。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "Ile101–Leu104",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.05 Å 在窗口内，但 Cβ–Cβ 5.35 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Leu2–Glu6",
      "dca": 5.7746889959546746,
      "dcb": 4.094552234371909,
      "miss_ca": 0,
      "miss_cb": 0
     },
     {
      "label": "Ala53–Ala57",
      "dca": 6.179992394817327,
      "dcb": 6.230410339616484,
      "miss_ca": 0,
      "miss_cb": 1.7304103396164843
     },
     {
      "label": "Ile99–Leu104",
      "dca": 7.76843085828792,
      "dcb": 6.891840755560158,
      "miss_ca": 0.9684308582879204,
      "miss_cb": 2.3918407555601577
     },
     {
      "label": "Ile101–Leu104",
      "dca": 5.052331244089208,
      "dcb": 5.353080047972382,
      "miss_ca": 0,
      "miss_cb": 0.8530800479723819
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    ],
    "windows": {
     "CA": [
      4.4,
      6.8
     ],
     "CB": [
      3.45,
      4.5
     ]
    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.776843085828792,
    "reasoning_nm": 0.776843085828792,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/1A6M",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1A6M.pdb": "e13d8d4c0def951f3b715e1980081d30fa7b8a4bb9cfa127c88d4b2b8bc9f7a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1A6M-FD-25-1-18",
   "family": "fret_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Val1–Glu18",
     "rule": "correct",
     "reason": "r = 2.41 nm，E = 0.245，最接近目标。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "Ile28–Tyr103",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.072）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Leu49–Leu86",
     "rule": "inverse_square",
     "reason": "把 r⁶ 写成 r²时它最接近目标（0.322）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Leu86–Lys140",
     "rule": "farther_from_target",
     "reason": "r = 1.11 nm，E = 0.972，离目标更远。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Val1–Glu18",
      "r": 2.412482992686166,
      "E": 0.24507466263292832
     },
     {
      "label": "Ile28–Tyr103",
      "r": 1.3061216099582764,
      "E": 0.9280096618207954
     },
     {
      "label": "Leu49–Leu86",
      "r": 2.901709994124154,
      "E": 0.09683312377906733
     },
     {
      "label": "Leu86–Lys140",
      "r": 1.1056334383510655,
      "E": 0.9722498770224783
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    ],
    "r0_nm": 2.0,
    "target": 0.25,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 2.901709994124154,
    "reasoning_nm": 2.901709994124154,
    "reasoning_definition": "候选标记对中最大的点间距离"
   },
   "source": "https://www.rcsb.org/structure/1A6M",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1A6M.pdb": "e13d8d4c0def951f3b715e1980081d30fa7b8a4bb9cfa127c88d4b2b8bc9f7a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1FHA-TOR-6-PHI",
   "family": "backbone_torsion",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "A",
   "numeric_answer": {
    "value": "-64.5",
    "unit": "degree",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "correct",
     "value": "-64.5",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
     "absolute_error": "0.02999390943341"
    },
    {
     "label": "B",
     "rule": "opposite_sign",
     "value": "64.5",
     "reason": "符号约定取反：相当于把镜像手性当成原构象。",
     "is_correct": false,
     "absolute_error": "129.02999390943341"
    },
    {
     "label": "C",
     "rule": "unsigned_plane_angle",
     "value": "115.5",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
     "absolute_error": "180.02999390943341"
    },
    {
     "label": "D",
     "rule": "other_backbone_torsion",
     "value": "141.3",
     "reason": "算成同一残基的 ψ 而非 φ。",
     "is_correct": false,
     "absolute_error": "205.82999390943341"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "neighbor_residue_same_torsion",
     "value": "-66.2",
     "reason": "too close to the correct value"
    },
    {
     "rule": "peptide_omega",
     "value": "-178.9",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "backbone_bond_angle",
     "value": "112.2",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 1,
    "achieved": 1,
    "linear_rank": 1
   },
   "rank_shortcuts": {
    "always_smallest": true,
    "always_second": false,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": true
   },
   "checks": {
    "normals_deg": -64.52999390943341,
    "projection_deg": -64.52999390943341,
    "implementations_agree": true,
    "chain_continuity_max_C_N_A": 1.5,
    "altloc_in_window": false,
    "periodic_separation": true,
    "residue": "Ser6",
    "torsion": "phi"
   },
   "scales": {
    "input_nm": 0.9972766717415986,
    "reasoning_nm": 0.311145464373177,
    "reasoning_definition": "二面角首末原子间距（局部 0.1–1 nm）"
   },
   "source": "https://www.rcsb.org/structure/1FHA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1FHA.pdb": "a915c7cc2b1877896c50017f91f7a3f63c08de10bf2bccc1505ad75c88388505"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "circular ascending from a target-set cut (angles are periodic)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1FHA-FRET-5-22",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "B",
   "numeric_answer": {
    "value": "0.453",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "path_length_distance",
     "value": "0.001",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.45168431249344865"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "0.453",
     "reason": "r = 2.0643 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.00031568750655135"
    },
    {
     "label": "C",
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "未计算距离，默认 r≈R0，直接取 E=0.5。",
     "is_correct": false,
     "absolute_error": "0.04731568750655135"
    },
    {
     "label": "D",
     "rule": "complement",
     "value": "0.547",
     "reason": "报告了 1−E（供体保留的比例）。",
     "is_correct": false,
     "absolute_error": "0.09431568750655135"
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   ],
   "excluded_candidates": [
    {
     "rule": "inverse_square_law",
     "value": "0.484",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "closest_atom_pair",
     "value": "0.561",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 2.0642885529886565,
    "R0_nm": 2.0,
    "path_length_nm": 6.482381604579295,
    "efficiency": 0.45268431249344865,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 6.545751825420821,
    "reasoning_nm": 2.0642885529886565,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1FHA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1FHA.pdb": "a915c7cc2b1877896c50017f91f7a3f63c08de10bf2bccc1505ad75c88388505"
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   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1FHA-DS-6-9",
   "family": "disulfide_design",
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   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Leu28–Ser31",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.11 Å 在窗口内，但 Cβ–Cβ 5.60 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Leu48–Tyr176",
     "rule": "both_out",
     "reason": "Cα–Cα 7.11 Å、Cβ–Cβ 7.45 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "His13–Lys124",
     "rule": "cbeta_only",
     "reason": "Cβ–Cβ 4.33 Å 在窗口内，但 Cα–Cα 7.04 Å 不在 4.4–6.8 Å（只看 Cβ 会误选）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Ser6–Arg9",
     "rule": "correct",
     "reason": "Cα–Cα 5.28 Å，Cβ–Cβ 4.28 Å，两项均在窗口内。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Ser6–Arg9",
      "dca": 5.279843747687991,
      "dcb": 4.28098785328807,
      "miss_ca": 0,
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     {
      "label": "Leu28–Ser31",
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      "miss_cb": 1.0954534221991308
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     {
      "label": "His13–Lys124",
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     },
     {
      "label": "Leu48–Tyr176",
      "dca": 7.109855202463692,
      "dcb": 7.453249291416462,
      "miss_ca": 0.3098552024636918,
      "miss_cb": 2.953249291416462
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    ],
    "windows": {
     "CA": [
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      6.8
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     "CB": [
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    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.7109855202463692,
    "reasoning_nm": 0.7109855202463692,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/1FHA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1FHA.pdb": "a915c7cc2b1877896c50017f91f7a3f63c08de10bf2bccc1505ad75c88388505"
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
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  {
   "id": "EN-1FHA-FD-25-5-42",
   "family": "fret_design",
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   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Asp44–Glu67",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.250）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Thr5–Asp42",
     "rule": "correct",
     "reason": "r = 4.84 nm，E = 0.241，最接近目标。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "Asn50–Asp123",
     "rule": "farther_from_target",
     "reason": "r = 4.35 nm，E = 0.376，离目标更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Leu120–Leu138",
     "rule": "farther_from_target",
     "reason": "r = 1.48 nm，E = 0.997，离目标更远。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Thr5–Asp42",
      "r": 4.842580041672002,
      "E": 0.24105216131381096
     },
     {
      "label": "Asn50–Asp123",
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      "E": 0.3764379080843345
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     {
      "label": "Asp44–Glu67",
      "r": 3.3321169892427243,
      "E": 0.7495322470162191
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     {
      "label": "Leu120–Leu138",
      "r": 1.484509767566384,
      "E": 0.9973938159657998
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    ],
    "r0_nm": 4.0,
    "target": 0.25,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 4.842580041672002,
    "reasoning_nm": 4.842580041672002,
    "reasoning_definition": "候选标记对中最大的点间距离"
   },
   "source": "https://www.rcsb.org/structure/1FHA",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1FHA.pdb": "a915c7cc2b1877896c50017f91f7a3f63c08de10bf2bccc1505ad75c88388505"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-12E8-TOR-2-PHI",
   "family": "backbone_torsion",
   "family_version": "0.2.0",
   "ability": "perception",
   "correct_label": "B",
   "numeric_answer": {
    "value": "-61.9",
    "unit": "degree",
    "decimals": 1,
    "tolerance": "0.05"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "neighbor_residue_same_torsion",
     "value": "-148.4",
     "reason": "算成相邻残基 3 的 φ。",
     "is_correct": false,
     "absolute_error": "86.46824858794128"
    },
    {
     "label": "B",
     "rule": "correct",
     "value": "-61.9",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
     "absolute_error": "0.03175141205872"
    },
    {
     "label": "C",
     "rule": "unsigned_plane_angle",
     "value": "118.1",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
     "absolute_error": "180.03175141205872"
    },
    {
     "label": "D",
     "rule": "other_backbone_torsion",
     "value": "126.0",
     "reason": "算成同一残基的 ψ 而非 φ。",
     "is_correct": false,
     "absolute_error": "187.93175141205872"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "opposite_sign",
     "value": "61.9",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "peptide_omega",
     "value": "178.0",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "backbone_bond_angle",
     "value": "104.7",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 2,
    "achieved": 2,
    "linear_rank": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "normals_deg": -61.93175141205872,
    "projection_deg": -61.93175141205874,
    "implementations_agree": true,
    "chain_continuity_max_C_N_A": 1.5,
    "altloc_in_window": false,
    "periodic_separation": true,
    "residue": "Val2",
    "torsion": "phi"
   },
   "scales": {
    "input_nm": 1.1639877920322015,
    "reasoning_nm": 0.2903384921087796,
    "reasoning_definition": "二面角首末原子间距（局部 0.1–1 nm）"
   },
   "source": "https://www.rcsb.org/structure/12E8",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/12E8.pdb": "c878844d6a622e853b8744a5c52f0ae5f6284a3b64639528226e8ce331923c6a"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "circular ascending from a target-set cut (angles are periodic)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-12E8-SS-3",
   "family": "secondary_structure",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "right-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 193°，明显更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "left-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 182°，明显更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "β-strand",
     "rule": "correct",
     "reason": "φ = -148.4°，ψ = 142.6°，最近参考构象（31°）；与条目 SHEET 记录一致。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "polyproline II",
     "rule": "second_nearest_reference",
     "reason": "次近的参考构象（距离 73°，正确者 31°）；两者易混。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "phi_deg": -148.44275311642593,
    "psi_deg": 142.55734800850132,
    "nearest_distance_deg": 31.091432804690253,
    "second_distance_deg": 73.48336229427628,
    "evidence_records": [
     "SHEET    1   F 4 GLN H   3  GLN H   6  0"
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    "residue": "Gln3",
    "limits": "参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。"
   },
   "scales": {
    "input_nm": 1.0627887936932718,
    "reasoning_nm": 0.45982938140140617,
    "reasoning_definition": "定义 φ 与 ψ 的五个主链原子的最大间距（局部）"
   },
   "source": "https://www.rcsb.org/structure/12E8",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/12E8.pdb": "c878844d6a622e853b8744a5c52f0ae5f6284a3b64639528226e8ce331923c6a"
   },
   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-12E8-FRET-1-8",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "C",
   "numeric_answer": {
    "value": "0.756",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
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   "option_audit": [
    {
     "label": "A",
     "rule": "complement",
     "value": "0.244",
     "reason": "报告了 1−E（供体保留的比例）。",
     "is_correct": false,
     "absolute_error": "0.5116052858227944"
    },
    {
     "label": "B",
     "rule": "path_length_distance",
     "value": "0.404",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.3516052858227944"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "0.756",
     "reason": "r = 2.0713 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.0003947141772056"
    },
    {
     "label": "D",
     "rule": "closest_atom_pair",
     "value": "0.877",
     "reason": "用两残基间最近的重原子对距离（1.803 nm）代替指定标记原子的间距。",
     "is_correct": false,
     "absolute_error": "0.1213947141772056"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "inverse_square_law",
     "value": "0.593",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
    "target": 3,
    "achieved": 3
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   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": true,
    "always_largest": false,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 2.0712831819912987,
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    "path_length_nm": 2.6669320463392756,
    "efficiency": 0.7556052858227944,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 7.981171195382291,
    "reasoning_nm": 2.0712831819912987,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/12E8",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/12E8.pdb": "c878844d6a622e853b8744a5c52f0ae5f6284a3b64639528226e8ce331923c6a"
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   "seed": "geobench-family-v1",
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   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-12E8-DS-7-21",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Ser7–Ser21",
     "rule": "correct",
     "reason": "Cα–Cα 5.39 Å，Cβ–Cβ 4.42 Å，两项均在窗口内。",
     "is_correct": true
    },
    {
     "label": "B",
     "value": "His35–Trp47",
     "rule": "both_out",
     "reason": "Cα–Cα 7.72 Å、Cβ–Cβ 6.71 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Asn93–Trp103",
     "rule": "cbeta_only",
     "reason": "Cβ–Cβ 4.29 Å 在窗口内，但 Cα–Cα 4.06 Å 不在 4.4–6.8 Å（只看 Cβ 会误选）。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Glu10–Thr110",
     "rule": "calpha_only",
     "reason": "Cα–Cα 6.24 Å 在窗口内，但 Cβ–Cβ 7.06 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Ser7–Ser21",
      "dca": 5.393058501444244,
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      "miss_ca": 0,
      "miss_cb": 0
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     {
      "label": "Glu10–Thr110",
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      "miss_cb": 2.564484694583178
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     {
      "label": "Asn93–Trp103",
      "dca": 4.064219605287096,
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      "miss_ca": 0.3357803947129048,
      "miss_cb": 0
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     {
      "label": "His35–Trp47",
      "dca": 7.715100647431638,
      "dcb": 6.713795498821803,
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      "miss_cb": 2.2137954988218027
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     "CA": [
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      6.8
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     "CB": [
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      4.5
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    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.7715100647431637,
    "reasoning_nm": 0.7715100647431637,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
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   "source": "https://www.rcsb.org/structure/12E8",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
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   "id": "EN-12E8-FD-25-1-11",
   "family": "fret_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Tyr145–Val183",
     "rule": "farther_from_target",
     "reason": "r = 2.77 nm，E = 0.349，离目标更远。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Leu4–Arg100",
     "rule": "farther_from_target",
     "reason": "r = 1.19 nm，E = 0.989，离目标更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Glu1–Val11",
     "rule": "correct",
     "reason": "r = 3.04 nm，E = 0.235，最接近目标。",
     "is_correct": true
    },
    {
     "label": "D",
     "value": "Leu170–Ser179",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.065）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Glu1–Val11",
      "r": 3.0423522116941024,
      "E": 0.23540453520380608
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     {
      "label": "Tyr145–Val183",
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      "E": 0.348670692285478
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     {
      "label": "Leu170–Ser179",
      "r": 1.6016862021007736,
      "E": 0.9353179434215624
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     {
      "label": "Leu4–Arg100",
      "r": 1.1889928384981971,
      "E": 0.9885596773578745
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    ],
    "r0_nm": 2.5,
    "target": 0.25,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 3.0423522116941024,
    "reasoning_nm": 3.0423522116941024,
    "reasoning_definition": "候选标记对中最大的点间距离"
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   "source": "https://www.rcsb.org/structure/12E8",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/12E8.pdb": "c878844d6a622e853b8744a5c52f0ae5f6284a3b64639528226e8ce331923c6a"
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   "seed": "geobench-family-v1",
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   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
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  },
  {
   "id": "EN-1HHK-TOR-2-PHI",
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   "ability": "perception",
   "correct_label": "C",
   "numeric_answer": {
    "value": "-66.1",
    "unit": "degree",
    "decimals": 1,
    "tolerance": "0.05"
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   "option_audit": [
    {
     "label": "A",
     "rule": "other_backbone_torsion",
     "value": "161.8",
     "reason": "算成同一残基的 ψ 而非 φ。",
     "is_correct": false,
     "absolute_error": "227.9432006052897"
    },
    {
     "label": "B",
     "rule": "neighbor_residue_same_torsion",
     "value": "-143.5",
     "reason": "算成相邻残基 3 的 φ。",
     "is_correct": false,
     "absolute_error": "77.3567993947103"
    },
    {
     "label": "C",
     "rule": "correct",
     "value": "-66.1",
     "reason": "IUPAC 符号约定的二面角；法向量与投影两种实现一致。",
     "is_correct": true,
     "absolute_error": "0.0432006052897"
    },
    {
     "label": "D",
     "rule": "unsigned_plane_angle",
     "value": "113.9",
     "reason": "用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。",
     "is_correct": false,
     "absolute_error": "180.0432006052897"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "opposite_sign",
     "value": "66.1",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "peptide_omega",
     "value": "-178.4",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "backbone_bond_angle",
     "value": "113.7",
     "reason": "valid but not selected (rank balance / plausibility)"
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   ],
   "rank": {
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    "achieved": 3,
    "linear_rank": 2
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": true,
    "always_third": false,
    "always_largest": false,
    "mirror_pair_cue": false
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   "checks": {
    "normals_deg": -66.1432006052897,
    "projection_deg": -66.1432006052897,
    "implementations_agree": true,
    "chain_continuity_max_C_N_A": 1.5,
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    "periodic_separation": true,
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   },
   "scales": {
    "input_nm": 0.8854569328883253,
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    "reasoning_definition": "二面角首末原子间距（局部 0.1–1 nm）"
   },
   "source": "https://www.rcsb.org/structure/1HHK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
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   "seed": "geobench-family-v1",
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   "option_order": "circular ascending from a target-set cut (angles are periodic)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1HHK-SS-3",
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   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "polyproline II",
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     "reason": "次近的参考构象（距离 69°，正确者 35°）；两者易混。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "right-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 179°，明显更远。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "left-handed α-helix",
     "rule": "other_reference",
     "reason": "距离 193°，明显更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "β-strand",
     "rule": "correct",
     "reason": "φ = -143.5°，ψ = 156.5°，最近参考构象（35°）；与条目 SHEET 记录一致。",
     "is_correct": true
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   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "phi_deg": -143.49850010856565,
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    "second_distance_deg": 69.45874051511215,
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     "SHEET    4  SA 8 HIS A   3  VAL A  12 -1  N  ARG A   6   O  TYR A  27"
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    "residue": "His3",
    "limits": "参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。"
   },
   "scales": {
    "input_nm": 1.0239528211787885,
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    "reasoning_definition": "定义 φ 与 ψ 的五个主链原子的最大间距（局部）"
   },
   "source": "https://www.rcsb.org/structure/1HHK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1HHK.pdb": "9511878db0222f69eaaddad7219b97a4f70bc1495ca0e8f27cf78e49141521a7"
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   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1HHK-FRET-1-7",
   "family": "fret_efficiency",
   "family_version": "0.2.0",
   "ability": "inference",
   "correct_label": "D",
   "numeric_answer": {
    "value": "0.757",
    "unit": "",
    "decimals": 3,
    "tolerance": "0.0005"
   },
   "option_audit": [
    {
     "label": "A",
     "rule": "complement",
     "value": "0.243",
     "reason": "报告了 1−E（供体保留的比例）。",
     "is_correct": false,
     "absolute_error": "0.5142371756070698"
    },
    {
     "label": "B",
     "rule": "r_equals_R0_default",
     "value": "0.500",
     "reason": "未计算距离，默认 r≈R0，直接取 E=0.5。",
     "is_correct": false,
     "absolute_error": "0.2572371756070698"
    },
    {
     "label": "C",
     "rule": "path_length_distance",
     "value": "0.631",
     "reason": "用沿链骨架标记原子（CA）的路径长度代替空间直线距离。",
     "is_correct": false,
     "absolute_error": "0.1262371756070698"
    },
    {
     "label": "D",
     "rule": "correct",
     "value": "0.757",
     "reason": "r = 2.0682 nm（直线距离），E = 1/(1+(r/R0)^6)。",
     "is_correct": true,
     "absolute_error": "0.0002371756070698"
    }
   ],
   "excluded_candidates": [
    {
     "rule": "inverse_square_law",
     "value": "0.594",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "angstrom_nanometre_mixup",
     "value": "0.000",
     "reason": "valid but not selected (rank balance / plausibility)"
    },
    {
     "rule": "closest_atom_pair",
     "value": "0.889",
     "reason": "valid but not selected (rank balance / plausibility)"
    }
   ],
   "rank": {
    "target": 4,
    "achieved": 4
   },
   "rank_shortcuts": {
    "always_smallest": false,
    "always_second": false,
    "always_third": false,
    "always_largest": true,
    "mirror_pair_cue": false
   },
   "checks": {
    "distance_nm": 2.0682278622047425,
    "R0_nm": 2.5,
    "path_length_nm": 2.2860206532273093,
    "efficiency": 0.7572371756070698,
    "limits": "点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。"
   },
   "scales": {
    "input_nm": 7.462161047578644,
    "reasoning_nm": 2.0682278622047425,
    "reasoning_definition": "供体–受体直线距离"
   },
   "source": "https://www.rcsb.org/structure/1HHK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1HHK.pdb": "9511878db0222f69eaaddad7219b97a4f70bc1495ca0e8f27cf78e49141521a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "numeric ascending (label = rank)",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1HHK-DS-5-168",
   "family": "disulfide_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Tyr27–Thr31",
     "rule": "calpha_only",
     "reason": "Cα–Cα 5.37 Å 在窗口内，但 Cβ–Cβ 6.36 Å 不在 3.45–4.50 Å（只看 Cα 会误选）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Met5–Leu168",
     "rule": "correct",
     "reason": "Cα–Cα 6.01 Å，Cβ–Cβ 4.27 Å，两项均在窗口内。",
     "is_correct": true
    },
    {
     "label": "C",
     "value": "His3–Trp107",
     "rule": "both_out",
     "reason": "Cα–Cα 7.49 Å、Cβ–Cβ 7.02 Å 均不在窗口内。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Arg202–Ala246",
     "rule": "cbeta_only",
     "reason": "Cβ–Cβ 4.17 Å 在窗口内，但 Cα–Cα 4.09 Å 不在 4.4–6.8 Å（只看 Cβ 会误选）。",
     "is_correct": false
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Met5–Leu168",
      "dca": 6.0062703069375765,
      "dcb": 4.272987245475933,
      "miss_ca": 0,
      "miss_cb": 0
     },
     {
      "label": "Tyr27–Thr31",
      "dca": 5.3703985885593255,
      "dcb": 6.358634759128724,
      "miss_ca": 0,
      "miss_cb": 1.8586347591287238
     },
     {
      "label": "Arg202–Ala246",
      "dca": 4.092453298450697,
      "dcb": 4.167297445587489,
      "miss_ca": 0.3075467015493034,
      "miss_cb": 0
     },
     {
      "label": "His3–Trp107",
      "dca": 7.493555831512833,
      "dcb": 7.02021616476302,
      "miss_ca": 0.6935558315128336,
      "miss_cb": 2.5202161647630197
     }
    ],
    "windows": {
     "CA": [
      4.4,
      6.8
     ],
     "CB": [
      3.45,
      4.5
     ]
    },
    "design_note": "设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。",
    "limits": "只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。"
   },
   "scales": {
    "input_nm": 0.7493555831512834,
    "reasoning_nm": 0.7493555831512834,
    "reasoning_definition": "候选残基对中最大的 Cα–Cα 距离"
   },
   "source": "https://www.rcsb.org/structure/1HHK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1HHK.pdb": "9511878db0222f69eaaddad7219b97a4f70bc1495ca0e8f27cf78e49141521a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "EN-1HHK-FD-25-1-16",
   "family": "fret_design",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Arg157–His192",
     "rule": "inverse_square",
     "reason": "把 r⁶ 写成 r²时它最接近目标（0.349）。",
     "is_correct": false
    },
    {
     "label": "B",
     "value": "Lys186–Thr233",
     "rule": "complement",
     "reason": "把效率算成 1 − E时它最接近目标（0.002）。",
     "is_correct": false
    },
    {
     "label": "C",
     "value": "Ala158–Thr200",
     "rule": "farther_from_target",
     "reason": "r = 5.39 nm，E = 0.143，离目标更远。",
     "is_correct": false
    },
    {
     "label": "D",
     "value": "Gly1–Gly16",
     "rule": "correct",
     "reason": "r = 4.85 nm，E = 0.240，最接近目标。",
     "is_correct": true
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "pairs": [
     {
      "label": "Gly1–Gly16",
      "r": 4.846256730714955,
      "E": 0.24022005861824
     },
     {
      "label": "Arg157–His192",
      "r": 5.4667196900883805,
      "E": 0.1330442328544902
     },
     {
      "label": "Lys186–Thr233",
      "r": 1.4379645997033446,
      "E": 0.9978462620815419
     },
     {
      "label": "Ala158–Thr200",
      "r": 5.389723764721157,
      "E": 0.1431710009792616
     }
    ],
    "r0_nm": 4.0,
    "target": 0.25,
    "atom": "CA",
    "design_note": "设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。",
    "limits": "点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。"
   },
   "scales": {
    "input_nm": 5.4667196900883805,
    "reasoning_nm": 5.4667196900883805,
    "reasoning_definition": "候选标记对中最大的点间距离"
   },
   "source": "https://www.rcsb.org/structure/1HHK",
   "license": "wwPDB (CC0)",
   "legacy_qa": null,
   "input_hashes": {
    "assets/bio/1HHK.pdb": "9511878db0222f69eaaddad7219b97a4f70bc1495ca0e8f27cf78e49141521a7"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "correct at batch-balanced target; others sha256-sorted",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-VIN-WALLS",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "H2-NMeAc: H2 + NMeAc",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Design, Synthesis and Characterization of Anthracene-Walled H2（延长墙以增大疏水空腔）；Table 1 与 Conclusion（H2·NMeAc 的 Ka = 1.07 × 10⁷ M⁻¹，比 H1·NMeAc 高 41.5 倍））。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "H1-NMeAc: H1 + NMeAc",
     "rule": "host_walls_not_extended",
     "reason": "不满足约束 affinity：同一客体，只把主体的墙从蒽缩回萘（每面 π 表面积少 46.5 Å²）：实测 Ka = 2.59 × 10⁵ M⁻¹，是蒽墙的 1/41.5，未达目标。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "H2-NMeQ: H2 + NMeQ",
     "rule": "guest_not_extended",
     "reason": "不满足约束 affinity：主体已是蒽墙，但客体少一个稠环：实测 Ka = 1.50 × 10⁴ M⁻¹，是同主体下 NMeAc 的 1/717。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "H1-NMeQ: H1 + NMeQ",
     "rule": "neither_extended",
     "reason": "不满足约束 affinity：主体与客体都少一个稠环：实测 Ka = 6.34 × 10³ M⁻¹，为四者最低。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "vincent2025-walls",
    "paper_choice": "H2-NMeAc",
    "failures": {
     "H2-NMeAc": [],
     "H1-NMeAc": [
      "affinity"
     ],
     "H2-NMeQ": [
      "affinity"
     ],
     "H1-NMeQ": [
      "affinity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "H2-NMeAc": {
      "Ka": "(1.07 ± 0.10) × 10^7"
     },
     "H1-NMeAc": {
      "Ka": "(2.59 ± 0.36) × 10^5"
     },
     "H2-NMeQ": {
      "Ka": "(1.50 ± 0.05) × 10^4"
     },
     "H1-NMeQ": {
      "Ka": "(6.34 ± 0.08) × 10^3"
     }
    },
    "locators": {
     "H2-NMeAc": {
      "Ka": "Table 1, row NMeAc, column H2 [M^-1] PBS"
     },
     "H1-NMeAc": {
      "Ka": "Table 1, row NMeAc, column H1 [M^-1] PBS"
     },
     "H2-NMeQ": {
      "Ka": "Table 1, row NMeQ, column H2 [M^-1] PBS"
     },
     "H1-NMeQ": {
      "Ka": "Table 1, row NMeQ, column H1 [M^-1] PBS"
     }
    },
    "naive_cue": {
     "heuristic": "只看主体：墙越长越好",
     "picks": "任一 H2 组合",
     "is_correct": false,
     "note": "只认 H2 会在 H2-NMeAc 与 H2-NMeQ 之间二选一，必须同时看客体的稠环数才能定答案。"
    },
    "notes": [
     "原文给出的几何量是 MMFF 优化的萘与蒽表面积（161.5 与 208.0 Å²，每面相差 46.5 Å²）；墙的长轴（0.70 / 0.92 nm）是萘与蒽的通用几何常识，不是原文数值，仅用于候选描述与尺度标注。",
     "原文未给出 H1 的侧臂与溶解度，故候选描述只对 H2 写明侧臂与 ≥ 7 mM 溶解度。",
     "MV 的结构（4,4'-联吡啶鎓，两环以单键相连而非稠合）是通用化学常识，不是本文的表述。",
     "原文把 Whitesides 的表面积系数写作 “-20 cal mol^-1 K^-1”，按上下文应为 cal mol^-1 Å^-2；本题不用该系数。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.92,
    "reasoning_nm": 0.92,
    "reasoning_definition": "主体芳香墙的长轴（蒽约 0.92 nm，萘约 0.70 nm），差别即稠环数"
   },
   "source": "Vincent, King, Murkli & Isaacs, \"Aromatic Wall Extension of Glycoluril-Derived Molecular Clips Enhances Binding of Planar Aromatic Dyes\", Chem. Eur. J. (2025), doi:10.1002/chem.202502177 (Europe PMC PMC12415320)；设计卡逐项记录原文位置（docs/assets/families/design/vincent2025-walls.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/vincent2025-walls.json": "5ef3d26e88693ccc8d35b4f51fc76e3a2f2ed8a36f56b946f9831aff43d10c51"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-VIN-MV",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "H2-MV: H2 + MV",
     "rule": "extended_walls_weaken_this_guest",
     "reason": "不满足约束 affinity：同一客体换成蒽墙反而变弱：实测 Ka 从 1.12 × 10⁵ 降到 2.59 × 10⁴ M⁻¹（0.23 倍）。MV 是原文 14 种染料中唯一在延长墙后结合变弱的一个；原文未对这一例外给出解释。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "H1-MV: H1 + MV",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Influence of π-Extension of Aromatic Walls of Host on Host·Dye Binding Affinity（逐个客体列出 H2/H1 的倍数，MV 为 0.23 倍，是唯一小于 1 的一项）；Table 1 的 MV 行）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "H2-NMeQ: H2 + NMeQ",
     "rule": "measured_inferior_analogue",
     "reason": "不满足约束 affinity：实测 Ka = 1.50 × 10⁴ M⁻¹，未达目标。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "H1-NMeQ: H1 + NMeQ",
     "rule": "measured_inferior_analogue",
     "reason": "不满足约束 affinity：实测 Ka = 6.34 × 10³ M⁻¹，为四者最低。",
     "is_correct": false,
     "plausibility": 2
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "vincent2025-viologen",
    "paper_choice": "H1-MV",
    "failures": {
     "H1-MV": [],
     "H2-MV": [
      "affinity"
     ],
     "H2-NMeQ": [
      "affinity"
     ],
     "H1-NMeQ": [
      "affinity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "H1-MV": {
      "Ka": "(1.12 ± 0.02) × 10^5"
     },
     "H2-MV": {
      "Ka": "(2.59 ± 0.14) × 10^4"
     },
     "H2-NMeQ": {
      "Ka": "(1.50 ± 0.05) × 10^4"
     },
     "H1-NMeQ": {
      "Ka": "(6.34 ± 0.08) × 10^3"
     }
    },
    "locators": {
     "H1-MV": {
      "Ka": "Table 1, row MV, column H1 [M^-1] PBS"
     },
     "H2-MV": {
      "Ka": "Table 1, row MV, column H2 [M^-1] PBS"
     },
     "H2-NMeQ": {
      "Ka": "Table 1, row NMeQ, column H2 [M^-1] PBS"
     },
     "H1-NMeQ": {
      "Ka": "Table 1, row NMeQ, column H1 [M^-1] PBS"
     }
    },
    "naive_cue": {
     "heuristic": "蒽墙的 π 表面积更大，总是结合更强",
     "picks": "H2-MV",
     "is_correct": false,
     "note": "本题正是该启发式失效的实测反例：扩大墙面反而把 Ka 压到目标以下。"
    },
    "notes": [
     "原文只报告 MV 的 0.23 倍这一事实，没有解释机理；本题的答案由实测 Ka 确定，候选描述只陈述 MV 的联吡啶鎓几何（两环以单键相连、不共平面），不替原文下结论。",
     "若 L1/L4 认为“未解释的反常”不宜作设计题，本题应整题退役而不是改数值。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.92,
    "reasoning_nm": 0.92,
    "reasoning_definition": "主体芳香墙的长轴（蒽约 0.92 nm，萘约 0.70 nm），差别即稠环数"
   },
   "source": "Vincent, King, Murkli & Isaacs, \"Aromatic Wall Extension of Glycoluril-Derived Molecular Clips Enhances Binding of Planar Aromatic Dyes\", Chem. Eur. J. (2025), doi:10.1002/chem.202502177 (Europe PMC PMC12415320)；设计卡逐项记录原文位置（docs/assets/families/design/vincent2025-viologen.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/vincent2025-viologen.json": "87eff8876036344e1dc301e7dffd04d281506a1d1bfc101371faab855d2b6e6f"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-RAN-NITRATE",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "C",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "BU2-CHCl3: BU2 in chloroform",
     "rule": "strongest_binder_cue",
     "reason": "不满足约束 selectivity：四者中绝对结合常数最高（Ka(NO₃⁻) = 3.0 × 10⁹ M⁻¹），但比值只有 0.31，仍偏好 Br⁻ 约 3.3 倍。“结合最强”不等于“选择性方向正确”。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "BU1-MeCN: BU1 in acetonitrile",
     "rule": "solvent_change_insufficient",
     "reason": "不满足约束 selectivity：换溶剂不改变大环几何：实测比值 0.11，在乙腈中仍偏好 Br⁻（9 倍），与在氯仿中同向。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "BnBU-CHCl3: BnBU in chloroform",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Results and discussion：“BnBU preferentially binds NO3- over Br- with a selectivity of 3 in chloroform”，而 BU1 在氯仿与乙腈中都偏好 Br⁻（22 与 9 倍）；Table 1 的 NO3- 与 Br- 行）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "BU1-CHCl3: BU1 in chloroform",
     "rule": "measured_inferior_analogue",
     "reason": "不满足约束 selectivity：实测 Ka(NO₃⁻)/Ka(Br⁻) = 0.046：强烈偏好较小的球形 Br⁻（22 倍），方向与目标相反。",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "rando2025-nitrate",
    "paper_choice": "BnBU-CHCl3",
    "failures": {
     "BnBU-CHCl3": [],
     "BU1-CHCl3": [
      "selectivity"
     ],
     "BU2-CHCl3": [
      "selectivity"
     ],
     "BU1-MeCN": [
      "selectivity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "BnBU-CHCl3": {
      "Ka_NO3": "1.8 × 10^9",
      "Ka_Br": "6.7 × 10^8"
     },
     "BU1-CHCl3": {
      "Ka_NO3": "5.1 × 10^5",
      "Ka_Br": "1.1 × 10^7"
     },
     "BU2-CHCl3": {
      "Ka_NO3": "3.0 × 10^9",
      "Ka_Br": "9.8 × 10^9"
     },
     "BU1-MeCN": {
      "Ka_NO3": "2.9 × 10^6",
      "Ka_Br": "2.6 × 10^7"
     }
    },
    "locators": {
     "BnBU-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BnBU (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BnBU (CHCl3, 298.15 K, ITC)"
     },
     "BU1-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BU1 (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BU1 (CHCl3, 298.15 K, ITC)"
     },
     "BU2-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BU2 (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BU2 (CHCl3, 298.15 K, ITC)"
     },
     "BU1-MeCN": {
      "Ka_NO3": "Table S3 (acetonitrile, ITC); quoted in Results and discussion",
      "Ka_Br": "Table S3 (acetonitrile, ITC); quoted in Results and discussion"
     }
    },
    "naive_cue": {
     "heuristic": "挑绝对结合常数最大的受体",
     "picks": "BU2-CHCl3",
     "is_correct": false,
     "note": "BU2 的 Ka 比 BnBU 高，但两种阴离子一起变高，选择性方向反而是错的。"
    },
    "notes": [
     "原文正文给出的 BU2/BU1 选择性（F 592、Cl 1273、Br 891、I 750）与表 1 的 Ka 一致；NO₃⁻ 的 5822 用表 1 两位有效数字算得 5882，约差 1%，应为表 1 取整所致。",
     "表 2 的实验 ΔGb 与表 1 的表观 Ka 并不自洽（按 ΔG = −RT ln Ka，Br⁻ 相差最大，41.4 kJ/mol 对应 1.8 × 10⁷ 而表 1 为 1.1 × 10⁷）；原文未说明两者的关系，本题只用表 1 与表 S3 的 Ka，不用表 2。",
     "原文未给出大环直径，尺度标注取其给出的 C-H...X- 接触长度。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.313,
    "reasoning_nm": 0.313,
    "reasoning_definition": "大环空腔内 C-H...X- 接触长度（BnBU·Cl⁻ 实测 3.13 Å）；BU1 的两个接触相差约 0.3 Å"
   },
   "source": "Rando, Grewal, Sokolov & Kulhanek, \"Reversing selectivity of bambusuril macrocycles toward inorganic anions by installing spacious substituents on their portals\", Chem. Sci. (2025), doi:10.1039/d4sc07150f (Europe PMC PMC11639902)；设计卡逐项记录原文位置（docs/assets/families/design/rando2025-nitrate.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/rando2025-nitrate.json": "12a008a1e37e7dc899b4e4c87447e7915f9cbf3722d5997bc07f13059084fe4c"
   },
   "seed": "geobench-family-v1",
   "target_position": 3,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-RAN-BROMIDE",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "D",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "BnBU-CHCl3: BnBU in chloroform",
     "rule": "measured_inferior_analogue",
     "reason": "不满足约束 affinity：柔性空腔能适应更大的阴离子，但对球形的 Br⁻ 实测 Ka = 6.7 × 10⁸ M⁻¹，比 BU2 低约 15 倍，未达目标。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "BU1-MeCN: BU1 in acetonitrile",
     "rule": "solvent_change_insufficient",
     "reason": "不满足约束 affinity：换成乙腈后 BU1 的 Ka 升到 2.6 × 10⁷ M⁻¹，仍比目标低一个半数量级；空腔几何未变。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "BU1-CHCl3: BU1 in chloroform",
     "rule": "distorted_cavity",
     "reason": "不满足约束 affinity：与 BU2 是非对映异构体、取代基完全相同，只是位置互换导致空腔被扭成螺旋（两个接触相差约 0.3 Å）：实测 Ka = 1.1 × 10⁷ M⁻¹，比 BU2 低 891 倍。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "BU2-CHCl3: BU2 in chloroform",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Conclusions：“BU1 binds inorganic anions up to three orders of magnitude less strongly than BU2 … due to distortion of the BU1 cavity”；Results and discussion 给出 BU2/BU1 对 Br⁻ 的选择性 891；Table 1 的 Br- 行）。",
     "is_correct": true,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "rando2025-bromide",
    "paper_choice": "BU2-CHCl3",
    "failures": {
     "BU2-CHCl3": [],
     "BnBU-CHCl3": [
      "affinity"
     ],
     "BU1-CHCl3": [
      "affinity"
     ],
     "BU1-MeCN": [
      "affinity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "BU2-CHCl3": {
      "Ka_NO3": "3.0 × 10^9",
      "Ka_Br": "9.8 × 10^9"
     },
     "BnBU-CHCl3": {
      "Ka_NO3": "1.8 × 10^9",
      "Ka_Br": "6.7 × 10^8"
     },
     "BU1-CHCl3": {
      "Ka_NO3": "5.1 × 10^5",
      "Ka_Br": "1.1 × 10^7"
     },
     "BU1-MeCN": {
      "Ka_NO3": "2.9 × 10^6",
      "Ka_Br": "2.6 × 10^7"
     }
    },
    "locators": {
     "BU2-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BU2 (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BU2 (CHCl3, 298.15 K, ITC)"
     },
     "BnBU-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BnBU (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BnBU (CHCl3, 298.15 K, ITC)"
     },
     "BU1-CHCl3": {
      "Ka_NO3": "Table 1, row NO3-, column BU1 (CHCl3, 298.15 K, ITC)",
      "Ka_Br": "Table 1, row Br-, column BU1 (CHCl3, 298.15 K, ITC)"
     },
     "BU1-MeCN": {
      "Ka_NO3": "Table S3 (acetonitrile, ITC); quoted in Results and discussion",
      "Ka_Br": "Table S3 (acetonitrile, ITC); quoted in Results and discussion"
     }
    },
    "naive_cue": {
     "heuristic": "取代基越大越能把空腔撑稳",
     "picks": "BU1-CHCl3",
     "is_correct": false,
     "note": "BU1 与 BU2 的取代基一样大，只是位置不同；决定成败的是位置造成的空腔是否扭曲。"
    },
    "notes": [
     "与 rando2025-nitrate 共用同一张实测表，四个候选相同，只换目标；因此“未测过”不会被当成“不行”。",
     "表 2 的 ΔGb 与表 1 的 Ka 不自洽（见 rando2025-nitrate 的备注），本题不用表 2。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.313,
    "reasoning_nm": 0.313,
    "reasoning_definition": "大环空腔内 C-H...X- 接触长度（BnBU·Cl⁻ 实测 3.13 Å）；BU1 的两个接触相差约 0.3 Å"
   },
   "source": "Rando, Grewal, Sokolov & Kulhanek, \"Reversing selectivity of bambusuril macrocycles toward inorganic anions by installing spacious substituents on their portals\", Chem. Sci. (2025), doi:10.1039/d4sc07150f (Europe PMC PMC11639902)；设计卡逐项记录原文位置（docs/assets/families/design/rando2025-bromide.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/rando2025-bromide.json": "1cd93de61579c31ea9b5c1bd5bc770456d18524070a5e2fd4169cd2bf14bcc3d"
   },
   "seed": "geobench-family-v1",
   "target_position": 4,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-CHE-SIEVE",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "A",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "UTSA-16(Co): UTSA-16(Co), a cobalt citrate framework",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Conclusions：“Cu-tetrazolate (3.2-3.6 A, S > 16 at 30 K) and UTSA-16(Co) (3.4-4.4 A, S = 15) demonstrate high selectivity, although with inherently limited uptake”，并把 Cu-4Py-Me 列为“practical compromise”；Results 给出四者的 S 与 D₂ 吸附量）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Cu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework",
     "rule": "narrowest_pore_cue",
     "reason": "不满足约束 capacity：孔口最窄、选择性确实最高（原文 > 16），但实测 D₂ 吸附量只有 0.2 mmol g⁻¹，容量差一个数量级。“孔越窄越好”在容量上立刻失效。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework",
     "rule": "interpenetrated_network",
     "reason": "不满足约束 selectivity：孔口（3.5 Å）与最窄的一档相当，却只测到 5.5 的选择性：主要孔容来自 3.5 与 8 Å 两档且骨架高度互穿，原文把它较低的选择性与吸附量归于这种互穿结构。“孔口窄”不足以保证筛分。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "Cu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)]",
     "rule": "pore_too_wide",
     "reason": "不满足约束 selectivity：孔口 5.5 Å 远宽于量子筛分所需，实测选择性只有 8，未达 12；它的吸附量最高（9.7 mmol g⁻¹）却不解决选择性。",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "chetry2026-sieving",
    "paper_choice": "UTSA-16(Co)",
    "failures": {
     "UTSA-16(Co)": [],
     "Cu-tetrazolate": [
      "capacity"
     ],
     "Cu-4Py-Me": [
      "selectivity"
     ],
     "Ag-Bpz": [
      "selectivity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "UTSA-16(Co)": {
      "S_30K": "15",
      "uptake_30K": "2.7 mmol g^-1"
     },
     "Cu-tetrazolate": {
      "S_30K": "> 16",
      "uptake_30K": "0.2 mmol g^-1"
     },
     "Cu-4Py-Me": {
      "S_30K": "8",
      "uptake_30K": "9.7 mmol g^-1"
     },
     "Ag-Bpz": {
      "S_30K": "5.5",
      "uptake_30K": "3.8 mmol g^-1"
     }
    },
    "locators": {
     "UTSA-16(Co)": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "Cu-tetrazolate": {
      "S_30K": "Conclusions（原文写 “Cu-tetrazolate (3.2-3.6 A, S_D2/H2 > 16 at 30 K)”，只给下界；此处按下界 16 记录，代码只允许它判定“满足下界型约束”，不允许用它判定不满足）",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "Cu-4Py-Me": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "Ag-Bpz": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     }
    },
    "naive_cue": {
     "heuristic": "量子筛分靠窄孔，所以选孔口最窄的",
     "picks": "Cu-tetrazolate",
     "is_correct": false,
     "note": "最窄的孔确实给出最高选择性，却把容量压到 0.2 mmol g⁻¹；要同时满足两项必须退一档孔径。"
    },
    "notes": [
     "Cu-4Py-Me 的 D₂ 吸附量在正文为 9.7 mmol g⁻¹、在结论为 10.9 mmol g⁻¹，原文自相矛盾；本卡用正文值，且两个取值都不改变两道题的答案（它在容量题上都达标、在选择性题上都不达标）。",
     "Cu-tetrazolate 的 30 K 选择性原文只给 “> 16”（正文仅称“四者中最高”，未给数值），故按下界记录并由代码限制其用法。",
     "Ag-Bpz 在表 1 列有 7.9 mmol cm⁻³ 的开放金属位密度，但正文把它与其余三者一并归为“缺少可接近的开放金属位”；候选描述两头都写明，约束不使用该项。",
     "正文在讨论趋势时把 Cu-tetrazolate 的孔径写作“3.4 Å”，与表 1 的 3.2–3.6 Å 不同；候选描述用表 1。",
     "Ag-Bpz 的孔径在表 1 为 3.5–8 Å，而 Characterization of MOFs 的 Zeo++ 结果称“孔口 3.5 Å，主要贡献来自 3.5 与 8 Å 的超微孔”；候选描述两者都写明，不替原文取舍。",
     "原文在趋势段落称这四者“缺少可接近的开放金属位”，但 Zeo++ 段落为 Ag-Bpz 给出 7.9 mmol cm⁻³ 的开放金属位密度，原文自相矛盾；题干与候选描述把两种说法都交给考生，约束不使用该项。",
     "柔性 MOF（[Cu2(Et-trz-ia)2]、[Cu2(nPr-trz-ia)2]）与 Ni-MOF-74(Co) 未作候选：前者的 77 K 选择性在摘要、正文与结论中分别为 1.4–2.3、2.3 与 1.6–2.4，不自洽；后者靠开放金属位而非孔口几何，机制不同。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.8,
    "reasoning_nm": 0.44,
    "reasoning_definition": "决定动力学量子筛分的孔口直径（四个候选为 0.32–0.80 nm；判据取孔口上限一侧）"
   },
   "source": "Chetry, Sarkar, Bakhtian & Hirscher, \"Influence of Structural Determinants on Dihydrogen Adsorption and Isotopologue Separation in Nanoporous Metal-Organic Frameworks\", ACS Appl. Mater. Interfaces (2026), doi:10.1021/acsami.5c24726 (Europe PMC PMC13022808)；设计卡逐项记录原文位置（docs/assets/families/design/chetry2026-sieving.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/chetry2026-sieving.json": "b00a4a582f6446e3273363cdc0044cb25765dc123170df97d8ecc86a9ecf52be"
   },
   "seed": "geobench-family-v1",
   "target_position": 1,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  },
  {
   "id": "FA-DES-CHE-FLOW",
   "family": "design_choice",
   "family_version": "0.1.0",
   "ability": "design",
   "correct_label": "B",
   "numeric_answer": null,
   "option_audit": [
    {
     "label": "A",
     "value": "Ag-Bpz: Ag-Bpz, a silver bipyrazolate framework",
     "rule": "interpenetrated_network",
     "reason": "不满足约束 capacity：孔容中有 8 Å 的一档，但高度互穿的骨架使实测 D₂ 吸附量只有 3.8 mmol g⁻¹，仍不够；“有宽孔”不等于“有可用孔容”。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "B",
     "value": "Cu-4Py-Me: Cu-4Py-Me, the copper triazolyl-isophthalate [Cu(Me-4py-trz-ia)]",
     "rule": "correct",
     "reason": "实测值满足全部目标约束，且是原文选定的结构（Conclusions：“Cu-4Py-Me (5.5 A, S_D2/H2 = 8) represents a practical compromise, delivering … uptake with moderate selectivity”；Results 给出 S = 8 与 D₂ 吸附量）。",
     "is_correct": true,
     "plausibility": 3
    },
    {
     "label": "C",
     "value": "Cu-tetrazolate: Cu-tetrazolate, a copper tetrazolate framework",
     "rule": "narrowest_pore_cue",
     "reason": "不满足约束 capacity：孔口最窄、选择性最高，但实测 D₂ 吸附量只有 0.2 mmol g⁻¹，离 5 差一个半数量级。",
     "is_correct": false,
     "plausibility": 3
    },
    {
     "label": "D",
     "value": "UTSA-16(Co): UTSA-16(Co), a cobalt citrate framework",
     "rule": "measured_inferior_analogue",
     "reason": "不满足约束 capacity：孔口 3.4–4.4 Å 时实测吸附量 2.7 mmol g⁻¹，选择性虽高但容量不够。",
     "is_correct": false,
     "plausibility": 3
    }
   ],
   "excluded_candidates": [],
   "rank": null,
   "rank_shortcuts": null,
   "checks": {
    "card": "chetry2026-throughput",
    "paper_choice": "Cu-4Py-Me",
    "failures": {
     "Cu-4Py-Me": [],
     "Cu-tetrazolate": [
      "capacity"
     ],
     "UTSA-16(Co)": [
      "capacity"
     ],
     "Ag-Bpz": [
      "capacity"
     ]
    },
    "margin": 1.2,
    "measured": {
     "Cu-4Py-Me": {
      "S_30K": "8",
      "uptake_30K": "9.7 mmol g^-1"
     },
     "Cu-tetrazolate": {
      "S_30K": "> 16",
      "uptake_30K": "0.2 mmol g^-1"
     },
     "UTSA-16(Co)": {
      "S_30K": "15",
      "uptake_30K": "2.7 mmol g^-1"
     },
     "Ag-Bpz": {
      "S_30K": "5.5",
      "uptake_30K": "3.8 mmol g^-1"
     }
    },
    "locators": {
     "Cu-4Py-Me": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "Cu-tetrazolate": {
      "S_30K": "Conclusions（原文写 “Cu-tetrazolate (3.2-3.6 A, S_D2/H2 > 16 at 30 K)”，只给下界；此处按下界 16 记录，代码只允许它判定“满足下界型约束”，不允许用它判定不满足）",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "UTSA-16(Co)": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     },
     "Ag-Bpz": {
      "S_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)",
      "uptake_30K": "Results and Discussion, Dihydrogen Isotopologues Separation (TDS, Texp = 30 K, pexp = 100 mbar, texp = 10 min)"
     }
    },
    "naive_cue": {
     "heuristic": "量子筛分靠窄孔，所以选孔口最窄的",
     "picks": "Cu-tetrazolate",
     "is_correct": false,
     "note": "与 chetry2026-sieving 共用同一张实测表，只换目标：目标改成通量后答案从最窄孔换到最宽孔。"
    },
    "notes": [
     "Cu-4Py-Me 的 D₂ 吸附量在正文为 9.7 mmol g⁻¹、在结论为 10.9 mmol g⁻¹，原文自相矛盾；本卡用正文值，且两个取值都不改变两道题的答案（它在容量题上都达标、在选择性题上都不达标）。",
     "Cu-tetrazolate 的 30 K 选择性原文只给 “> 16”（正文仅称“四者中最高”，未给数值），故按下界记录并由代码限制其用法。",
     "Ag-Bpz 在表 1 列有 7.9 mmol cm⁻³ 的开放金属位密度，但正文把它与其余三者一并归为“缺少可接近的开放金属位”；候选描述两头都写明，约束不使用该项。",
     "正文在讨论趋势时把 Cu-tetrazolate 的孔径写作“3.4 Å”，与表 1 的 3.2–3.6 Å 不同；候选描述用表 1。",
     "Ag-Bpz 的孔径在表 1 为 3.5–8 Å，而 Characterization of MOFs 的 Zeo++ 结果称“孔口 3.5 Å，主要贡献来自 3.5 与 8 Å 的超微孔”；候选描述两者都写明，不替原文取舍。",
     "原文在趋势段落称这四者“缺少可接近的开放金属位”，但 Zeo++ 段落为 Ag-Bpz 给出 7.9 mmol cm⁻³ 的开放金属位密度，原文自相矛盾；题干与候选描述把两种说法都交给考生，约束不使用该项。",
     "柔性 MOF（[Cu2(Et-trz-ia)2]、[Cu2(nPr-trz-ia)2]）与 Ni-MOF-74(Co) 未作候选：前者的 77 K 选择性在摘要、正文与结论中分别为 1.4–2.3、2.3 与 1.6–2.4，不自洽；后者靠开放金属位而非孔口几何，机制不同。"
    ],
    "limits": "程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。"
   },
   "scales": {
    "input_nm": 0.8,
    "reasoning_nm": 0.44,
    "reasoning_definition": "决定动力学量子筛分的孔口直径（四个候选为 0.32–0.80 nm；判据取孔口上限一侧）"
   },
   "source": "Chetry, Sarkar, Bakhtian & Hirscher, \"Influence of Structural Determinants on Dihydrogen Adsorption and Isotopologue Separation in Nanoporous Metal-Organic Frameworks\", ACS Appl. Mater. Interfaces (2026), doi:10.1021/acsami.5c24726 (Europe PMC PMC13022808)；设计卡逐项记录原文位置（docs/assets/families/design/chetry2026-throughput.json）",
   "license": "CC BY 4.0; facts and numbers only, no text or figures reproduced",
   "legacy_qa": null,
   "input_hashes": {
    "assets/families/design/chetry2026-throughput.json": "3fdb8511d681b9568e8aa57a04a0bcdf3fc6d8fd22dcc181040fa177aa8833db"
   },
   "seed": "geobench-family-v1",
   "target_position": 2,
   "option_order": "候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关",
   "human_review": "pending",
   "catalog_admitted": false
  }
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    "inputs": [
     {
      "name": "FA-EXT-NACL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-DIAMOND",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-DIAMOND-cell.txt",
      "format": "fractional-cell-table",
      "chars": 370
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-SALEM2",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-SALEM2-cell.txt",
      "format": "fractional-cell-table",
      "chars": 7319
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-MOF5",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-MOF5-cell.txt",
      "format": "fractional-cell-table",
      "chars": 14972
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CONF-7050-max_dipole",
   "family": "conformer_target_selection",
   "define": {
    "family": "conformer_target_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/conformer_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 617
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 611
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 610
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 610
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 613
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CONF-7206-min_energy",
   "family": "conformer_target_selection",
   "define": {
    "family": "conformer_target_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/conformer_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 512
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 501
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 500
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 503
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 502
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CONF-7095-min_energy",
   "family": "conformer_target_selection",
   "define": {
    "family": "conformer_target_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/conformer_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 579
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 570
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 574
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 570
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 570
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CONF-7032-max_dipole",
   "family": "conformer_target_selection",
   "define": {
    "family": "conformer_target_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/conformer_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 659
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 649
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 642
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 649
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 641
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-QNP007",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP007-MAJHUB.xyz",
      "format": "xyz",
      "chars": 2262
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-QNP008",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP008-JIMHOC.xyz",
      "format": "xyz",
      "chars": 3142
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-QNP009",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP009-KEGPOC.xyz",
      "format": "xyz",
      "chars": 3526
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-QNP010",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP010-KEWGID.xyz",
      "format": "xyz",
      "chars": 2646
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-QNP011",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP011-PEKZAG.xyz",
      "format": "xyz",
      "chars": 3856
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-MNP006",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "MNP006-ZIF8-Zn.xyz",
      "format": "xyz",
      "chars": 364
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-MNP007",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "MNP007-MOF5-Zn.xyz",
      "format": "xyz",
      "chars": 1482
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-MNP010",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "MNP010-MOF5-full.xyz",
      "format": "xyz",
      "chars": 16496
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-CNP007",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CNP007-1AA5-chainA.xyz",
      "format": "xyz",
      "chars": 2931
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-CNP008",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CNP008-1AA5-chainB.xyz",
      "format": "xyz",
      "chars": 3029
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-CNP009",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CNP009-1AA5-dimer.xyz",
      "format": "xyz",
      "chars": 5891
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-CNP011",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CNP011-1AA5-dimer.xyz",
      "format": "xyz",
      "chars": 5891
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7029-SAME",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 563
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 608
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7052-SAME",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 566
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 587
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7208-ENAN",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 492
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 516
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7111-ENAN",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 491
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 520
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7110-DIAS",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 525
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 560
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7043-DIAS",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 491
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 528
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "bond_graphs_equal",
     "same_dataset_molecule"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7082-CONS",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 488
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 526
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SREL-7033-CONS",
   "family": "stereo_relationship",
   "define": {
    "family": "stereo_relationship",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 568
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 614
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SPROP-7082",
   "family": "stereo_property_inference",
   "define": {
    "family": "stereo_property_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 488
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 531
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "bond_graphs_equal"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SPROP-7089",
   "family": "stereo_property_inference",
   "define": {
    "family": "stereo_property_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 491
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 532
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "bond_graphs_equal"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SPROP-7110",
   "family": "stereo_property_inference",
   "define": {
    "family": "stereo_property_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 525
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 549
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "bond_graphs_equal"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SPROP-7114",
   "family": "stereo_property_inference",
   "define": {
    "family": "stereo_property_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 531
     },
     {
      "name": "X.xyz",
      "format": "xyz",
      "chars": 561
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bond_graphs_equal"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SDES-7029",
   "family": "stereo_design_selection",
   "define": {
    "family": "stereo_design_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 586
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 581
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 602
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 587
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 588
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SDES-7033",
   "family": "stereo_design_selection",
   "define": {
    "family": "stereo_design_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 587
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 583
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 609
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 594
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 576
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SDES-7110",
   "family": "stereo_design_selection",
   "define": {
    "family": "stereo_design_selection",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/stereo.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "S0.xyz",
      "format": "xyz",
      "chars": 547
     },
     {
      "name": "candidate_A.xyz",
      "format": "xyz",
      "chars": 553
     },
     {
      "name": "candidate_B.xyz",
      "format": "xyz",
      "chars": 559
     },
     {
      "name": "candidate_C.xyz",
      "format": "xyz",
      "chars": 561
     },
     {
      "name": "candidate_D.xyz",
      "format": "xyz",
      "chars": 554
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-7035-SO",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP002-7035-opt.xyz",
      "format": "xyz",
      "chars": 602
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-7070-CCl",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP003-7070-opt.xyz",
      "format": "xyz",
      "chars": 384
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-7002-NN",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP004-7002-opt.xyz",
      "format": "xyz",
      "chars": 420
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-7122-CN",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP006-7122-opt.xyz",
      "format": "xyz",
      "chars": 423
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-6LYZ-SS",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1031
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ANG-7040-OSO",
   "family": "named_bond_angle",
   "define": {
    "family": "named_bond_angle",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QNP005-7040-opt.xyz",
      "format": "xyz",
      "chars": 576
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "implementations_agree",
     "vertex_bonded_to_both"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-MGO",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-MGO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 378
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-CSCL",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-CSCL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 174
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-SALEM2-ZN",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-SALEM2-ZN-cell.txt",
      "format": "fractional-cell-table",
      "chars": 7319
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-MOF5-NODE",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-MOF5-NODE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 14972
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-NACL",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-NACL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-CSCL",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-CSCL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 174
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-MGO",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-MGO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 378
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-SALEM2",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-SALEM2-cell.txt",
      "format": "fractional-cell-table",
      "chars": 7319
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-MOF5",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-MOF5-cell.txt",
      "format": "fractional-cell-table",
      "chars": 14972
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FRET-1EHZ",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1EHZ-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 104995
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FRET-1UBQ",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 47562
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FRET-6LYZ",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 79083
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-GUIN-6LYZ",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-heavy-atoms.xyz",
      "format": "xyz",
      "chars": 37676
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-GUIN-1EHZ",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1EHZ-heavy-atoms.xyz",
      "format": "xyz",
      "chars": 50440
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-GUIN-1BNA",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1BNA-heavy-atoms.xyz",
      "format": "xyz",
      "chars": 18349
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1AON",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1AON-residue-points.xyz",
      "format": "xyz",
      "chars": 197978
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-1AON",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1AON-residue-points.xyz",
      "format": "xyz",
      "chars": 197978
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-GUIN-1AON",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1AON-residue-points.xyz",
      "format": "xyz",
      "chars": 197978
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1KX5",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1KX5-residue-points.xyz",
      "format": "xyz",
      "chars": 29558
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
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   "define": {
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    "ability": "perception",
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    "M6": "导出：学生包 / 审核包分离与运行快照"
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   "family": "guinier_intensity",
   "define": {
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    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-7ARQ-018",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-7ARQ-030",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-7ARQ-050",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-7ARQ-030",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-7ARQ-SCAF-020",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "7ARQ-nucleotide-points.txt",
      "format": "centroid-table",
      "chars": 107707
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-6CGR",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6CGR-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 108192
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-6CGR",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6CGR-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 108192
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-SHELL-X",
   "family": "superlattice_shell",
   "define": {
    "family": "superlattice_shell",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-X-linker.xyz",
      "format": "xyz",
      "chars": 6120
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-EDGE-26",
   "family": "superlattice_metric",
   "define": {
    "family": "superlattice_metric",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-26-linker.xyz",
      "format": "xyz",
      "chars": 6173
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-EDGE-52",
   "family": "superlattice_metric",
   "define": {
    "family": "superlattice_metric",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-52-linker.xyz",
      "format": "xyz",
      "chars": 6259
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-D111-39",
   "family": "superlattice_metric",
   "define": {
    "family": "superlattice_metric",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-39-linker.xyz",
      "format": "xyz",
      "chars": 6237
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-QSTAR-X",
   "family": "superlattice_saxs",
   "define": {
    "family": "superlattice_saxs",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-X-linker.xyz",
      "format": "xyz",
      "chars": 6120
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-Q200-13",
   "family": "superlattice_saxs",
   "define": {
    "family": "superlattice_saxs",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-13-linker.xyz",
      "format": "xyz",
      "chars": 6125
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-GOLD-52",
   "family": "superlattice_saxs",
   "define": {
    "family": "superlattice_saxs",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-52-linker.xyz",
      "format": "xyz",
      "chars": 6259
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-DES-QSTAR",
   "family": "superlattice_design",
   "define": {
    "family": "superlattice_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-13-linker.xyz",
      "format": "xyz",
      "chars": 6125
     },
     {
      "name": "Au-FCC-26-linker.xyz",
      "format": "xyz",
      "chars": 6173
     },
     {
      "name": "Au-FCC-39-linker.xyz",
      "format": "xyz",
      "chars": 6237
     },
     {
      "name": "Au-FCC-52-linker.xyz",
      "format": "xyz",
      "chars": 6259
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
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   "family": "superlattice_design",
   "define": {
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    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/superlattice.py"
   },
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     {
      "name": "Au-FCC-13-linker.xyz",
      "format": "xyz",
      "chars": 6125
     },
     {
      "name": "Au-FCC-26-linker.xyz",
      "format": "xyz",
      "chars": 6173
     },
     {
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      "format": "xyz",
      "chars": 6237
     },
     {
      "name": "Au-FCC-52-linker.xyz",
      "format": "xyz",
      "chars": 6259
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
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    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SL-DES-GOLD",
   "family": "superlattice_design",
   "define": {
    "family": "superlattice_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/superlattice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "Au-FCC-X-linker.xyz",
      "format": "xyz",
      "chars": 6120
     },
     {
      "name": "Au-FCC-13-linker.xyz",
      "format": "xyz",
      "chars": 6125
     },
     {
      "name": "Au-FCC-26-linker.xyz",
      "format": "xyz",
      "chars": 6173
     },
     {
      "name": "Au-FCC-39-linker.xyz",
      "format": "xyz",
      "chars": 6237
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-DIAM-S8",
   "family": "opal_geometry",
   "define": {
    "family": "opal_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
   },
   "construct": {
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     {
      "name": "opal-PS-S8.xyz",
      "format": "sphere-centres",
      "chars": 7303
     }
    ],
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   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-D111-S2",
   "family": "opal_geometry",
   "define": {
    "family": "opal_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S2.xyz",
      "format": "sphere-centres",
      "chars": 7345
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-EDGE-SIO2",
   "family": "opal_geometry",
   "define": {
    "family": "opal_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "opal-SiO2-266.xyz",
      "format": "sphere-centres",
      "chars": 7324
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-PEAK-S3",
   "family": "opal_bragg",
   "define": {
    "family": "opal_bragg",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S3.xyz",
      "format": "sphere-centres",
      "chars": 7361
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-PEAK-S7-WATER",
   "family": "opal_bragg",
   "define": {
    "family": "opal_bragg",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
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   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S7.xyz",
      "format": "sphere-centres",
      "chars": 7319
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    ],
    "candidates_considered": 10
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
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  {
   "id": "FA-OP-PEAK-SIO2-30",
   "family": "opal_bragg",
   "define": {
    "family": "opal_bragg",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
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      "format": "sphere-centres",
      "chars": 7324
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   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-ANGLE-SIO2",
   "family": "opal_bragg",
   "define": {
    "family": "opal_bragg",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/photonic.py"
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   "construct": {
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      "format": "sphere-centres",
      "chars": 7324
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    ],
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   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-DES-540",
   "family": "opal_design",
   "define": {
    "family": "opal_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/photonic.py"
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   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S5.xyz",
      "format": "sphere-centres",
      "chars": 7323
     },
     {
      "name": "opal-PS-S6.xyz",
      "format": "sphere-centres",
      "chars": 7329
     },
     {
      "name": "opal-PS-S7.xyz",
      "format": "sphere-centres",
      "chars": 7319
     },
     {
      "name": "opal-PS-S8.xyz",
      "format": "sphere-centres",
      "chars": 7303
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-DES-820",
   "family": "opal_design",
   "define": {
    "family": "opal_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/photonic.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S2.xyz",
      "format": "sphere-centres",
      "chars": 7345
     },
     {
      "name": "opal-PS-S3.xyz",
      "format": "sphere-centres",
      "chars": 7361
     },
     {
      "name": "opal-PS-S4.xyz",
      "format": "sphere-centres",
      "chars": 7341
     },
     {
      "name": "opal-PS-S5.xyz",
      "format": "sphere-centres",
      "chars": 7323
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-OP-DES-BELOW700",
   "family": "opal_design",
   "define": {
    "family": "opal_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/photonic.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "opal-PS-S4.xyz",
      "format": "sphere-centres",
      "chars": 7341
     },
     {
      "name": "opal-PS-S5.xyz",
      "format": "sphere-centres",
      "chars": 7323
     },
     {
      "name": "opal-PS-S6.xyz",
      "format": "sphere-centres",
      "chars": 7329
     },
     {
      "name": "opal-PS-S7.xyz",
      "format": "sphere-centres",
      "chars": 7319
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-PERIOD-K079",
   "family": "moire_geometry",
   "define": {
    "family": "moire_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-K079-AA-map.txt",
      "format": "aa-site-map",
      "chars": 540
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-AREA-M2",
   "family": "moire_geometry",
   "define": {
    "family": "moire_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-M2-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-PERIOD-D1",
   "family": "moire_geometry",
   "define": {
    "family": "moire_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-D1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-ATOMS-K110",
   "family": "moire_inference",
   "define": {
    "family": "moire_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-K110-atoms.xyz",
      "format": "xyz",
      "chars": 29724
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-NFULL-M1",
   "family": "moire_inference",
   "define": {
    "family": "moire_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-M1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1384
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-NHALF-K079",
   "family": "moire_inference",
   "define": {
    "family": "moire_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-K079-AA-map.txt",
      "format": "aa-site-map",
      "chars": 540
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-TWIST-D1",
   "family": "moire_inference",
   "define": {
    "family": "moire_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-D1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-DES-HALF",
   "family": "moire_design",
   "define": {
    "family": "moire_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-M2-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     },
     {
      "name": "TBG-D1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     },
     {
      "name": "TBG-K110-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1109
     },
     {
      "name": "TBG-M1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1384
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-DES-PERIOD",
   "family": "moire_design",
   "define": {
    "family": "moire_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-K079-AA-map.txt",
      "format": "aa-site-map",
      "chars": 540
     },
     {
      "name": "TBG-M2-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     },
     {
      "name": "TBG-D1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     },
     {
      "name": "TBG-M1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1384
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-MO-DES-FULL",
   "family": "moire_design",
   "define": {
    "family": "moire_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/moire.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "TBG-K079-AA-map.txt",
      "format": "aa-site-map",
      "chars": 540
     },
     {
      "name": "TBG-D1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 961
     },
     {
      "name": "TBG-K110-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1109
     },
     {
      "name": "TBG-M1-AA-map.txt",
      "format": "aa-site-map",
      "chars": 1384
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-6NCL",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6NCL-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 244799
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-T-6NCL",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6NCL-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 244799
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-6NCL",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6NCL-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 244799
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SS-1UBQ-43",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-A43-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 2137
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SS-6LYZ-90",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-A90-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1426
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-SS-1CRN-34",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CRN-A34-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1900
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HG-EV1",
   "family": "binding_evidence_choice",
   "define": {
    "family": "binding_evidence_choice",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/hostguest.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     },
     {
      "name": "WP6-G12.xyz",
      "format": "xyz",
      "chars": 1194
     },
     {
      "name": "WP6-G6.xyz",
      "format": "xyz",
      "chars": 688
     },
     {
      "name": "WP6-G7.xyz",
      "format": "xyz",
      "chars": 537
     },
     {
      "name": "WP6-G1.xyz",
      "format": "xyz",
      "chars": 937
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HG-EV2",
   "family": "binding_evidence_choice",
   "define": {
    "family": "binding_evidence_choice",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/hostguest.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     },
     {
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      "format": "xyz",
      "chars": 975
     },
     {
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      "format": "xyz",
      "chars": 522
     },
     {
      "name": "WP6-G9.xyz",
      "format": "xyz",
      "chars": 753
     },
     {
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      "format": "xyz",
      "chars": 1288
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HG-EV3",
   "family": "binding_evidence_choice",
   "define": {
    "family": "binding_evidence_choice",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/hostguest.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     },
     {
      "name": "WP6-G3.xyz",
      "format": "xyz",
      "chars": 541
     },
     {
      "name": "WP6-G11.xyz",
      "format": "xyz",
      "chars": 509
     },
     {
      "name": "WP6-G8.xyz",
      "format": "xyz",
      "chars": 856
     },
     {
      "name": "WP6-G5.xyz",
      "format": "xyz",
      "chars": 1288
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HG-DES1",
   "family": "binding_design_choice",
   "define": {
    "family": "binding_design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/hostguest.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     },
     {
      "name": "WP6-G2.xyz",
      "format": "xyz",
      "chars": 1089
     },
     {
      "name": "WP6-G6.xyz",
      "format": "xyz",
      "chars": 688
     },
     {
      "name": "WP6-G3.xyz",
      "format": "xyz",
      "chars": 541
     },
     {
      "name": "WP6-G1.xyz",
      "format": "xyz",
      "chars": 937
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HG-DES2",
   "family": "binding_design_choice",
   "define": {
    "family": "binding_design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/hostguest.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     },
     {
      "name": "WP6-G12.xyz",
      "format": "xyz",
      "chars": 1194
     },
     {
      "name": "WP6-G10.xyz",
      "format": "xyz",
      "chars": 975
     },
     {
      "name": "WP6-G5.xyz",
      "format": "xyz",
      "chars": 1288
     },
     {
      "name": "WP6-G6.xyz",
      "format": "xyz",
      "chars": 688
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QD-PEAK-C",
   "family": "qdot_optics",
   "define": {
    "family": "qdot_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/quantum_dot.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CdSe-QD-C.xyz",
      "format": "xyz",
      "chars": 27113
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QD-EPS-E",
   "family": "qdot_optics",
   "define": {
    "family": "qdot_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/quantum_dot.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CdSe-QD-E.xyz",
      "format": "xyz",
      "chars": 61608
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QD-CONC-B",
   "family": "qdot_optics",
   "define": {
    "family": "qdot_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/quantum_dot.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CdSe-QD-B.xyz",
      "format": "xyz",
      "chars": 18102
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QD-DES-590",
   "family": "qdot_design",
   "define": {
    "family": "qdot_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/quantum_dot.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CdSe-QD-B.xyz",
      "format": "xyz",
      "chars": 18102
     },
     {
      "name": "CdSe-QD-C.xyz",
      "format": "xyz",
      "chars": 27113
     },
     {
      "name": "CdSe-QD-D.xyz",
      "format": "xyz",
      "chars": 38528
     },
     {
      "name": "CdSe-QD-E.xyz",
      "format": "xyz",
      "chars": 61608
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QD-DES-565",
   "family": "qdot_design",
   "define": {
    "family": "qdot_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/quantum_dot.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "CdSe-QD-A.xyz",
      "format": "xyz",
      "chars": 10937
     },
     {
      "name": "CdSe-QD-B.xyz",
      "format": "xyz",
      "chars": 18102
     },
     {
      "name": "CdSe-QD-C.xyz",
      "format": "xyz",
      "chars": 27113
     },
     {
      "name": "CdSe-QD-D.xyz",
      "format": "xyz",
      "chars": 38528
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-CRYSTAL-CU",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "NaCl-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     },
     {
      "name": "MgO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 378
     },
     {
      "name": "CsCl-cell.txt",
      "format": "fractional-cell-table",
      "chars": 174
     },
     {
      "name": "diamond-cell.txt",
      "format": "fractional-cell-table",
      "chars": 370
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-CRYSTAL-MO",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "NaCl-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     },
     {
      "name": "MgO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 378
     },
     {
      "name": "CsCl-cell.txt",
      "format": "fractional-cell-table",
      "chars": 174
     },
     {
      "name": "diamond-cell.txt",
      "format": "fractional-cell-table",
      "chars": 370
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-ANODE-NACL",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-XD-ANODE-NACL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-ANODE-MOF5",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-XD-ANODE-MOF5-cell.txt",
      "format": "fractional-cell-table",
      "chars": 14972
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-ANODE-SALEM2",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-XD-ANODE-SALEM2-cell.txt",
      "format": "fractional-cell-table",
      "chars": 7319
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-XD-WAVE-MOF5",
   "family": "diffraction_design",
   "define": {
    "family": "diffraction_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/diffraction_design.py"
   },
   "construct": {
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     {
      "name": "FA-XD-WAVE-MOF5-cell.txt",
      "format": "fractional-cell-table",
      "chars": 14972
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DS-1UBQ-A",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-A-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4665
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DS-1UBQ-B",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-B-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4586
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DS-6LYZ",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-6LYZ-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 5139
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FD-1EHZ",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1EHZ-1EHZ-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 13513
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FD-1UBQ",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-1UBQ-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 5850
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FD-6LYZ",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-6LYZ-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4902
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1AON",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1AON-residue-points.xyz",
      "format": "xyz",
      "chars": 197978
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1KX5",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1KX5-residue-points.xyz",
      "format": "xyz",
      "chars": 29558
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
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    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1A34",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1A34-capsid-CA.xyz",
      "format": "xyz",
      "chars": 212598
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-SPACING-561",
   "family": "vortex_geometry",
   "define": {
    "family": "vortex_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-MgB2-561G.txt",
      "format": "vortex-map",
      "chars": 2610
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-DENSITY-1173",
   "family": "vortex_geometry",
   "define": {
    "family": "vortex_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-MgB2-1173G.txt",
      "format": "vortex-map",
      "chars": 2571
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-SPACING-BSCCO",
   "family": "vortex_geometry",
   "define": {
    "family": "vortex_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-BSCCO-855nm.txt",
      "format": "vortex-map",
      "chars": 2631
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-FIELD-BSCCO",
   "family": "vortex_inference",
   "define": {
    "family": "vortex_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-BSCCO-855nm.txt",
      "format": "vortex-map",
      "chars": 2631
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-FIELD-508",
   "family": "vortex_inference",
   "define": {
    "family": "vortex_inference",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-MgB2-508G.txt",
      "format": "vortex-map",
      "chars": 2611
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
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   "family": "vortex_inference",
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    "ability": "inference",
    "output": "choice+numeric",
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
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   "family": "vortex_inference",
   "define": {
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    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/vortex.py"
   },
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      "format": "vortex-map",
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   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-DES-SPACING",
   "family": "vortex_design",
   "define": {
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    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/vortex.py"
   },
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      "format": "vortex-map",
      "chars": 2611
     },
     {
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      "format": "vortex-map",
      "chars": 2610
     },
     {
      "name": "vortex-MgB2-1173G.txt",
      "format": "vortex-map",
      "chars": 2571
     },
     {
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      "format": "vortex-map",
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     }
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   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
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   "id": "FA-VX-DES-SANS",
   "family": "vortex_design",
   "define": {
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    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/vortex.py"
   },
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      "format": "vortex-map",
      "chars": 2611
     },
     {
      "name": "vortex-MgB2-561G.txt",
      "format": "vortex-map",
      "chars": 2610
     },
     {
      "name": "vortex-MgB2-1173G.txt",
      "format": "vortex-map",
      "chars": 2571
     },
     {
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      "format": "vortex-map",
      "chars": 2549
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
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   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-VX-DES-DENSITY",
   "family": "vortex_design",
   "define": {
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    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/vortex.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "vortex-MgB2-508G.txt",
      "format": "vortex-map",
      "chars": 2611
     },
     {
      "name": "vortex-MgB2-561G.txt",
      "format": "vortex-map",
      "chars": 2610
     },
     {
      "name": "vortex-MgB2-1173G.txt",
      "format": "vortex-map",
      "chars": 2571
     },
     {
      "name": "vortex-MgB2-1887G.txt",
      "format": "vortex-map",
      "chars": 2549
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-PITCH-R5011",
   "family": "cholesteric_geometry",
   "define": {
    "family": "cholesteric_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-E44-R5011-2.62wt.txt",
      "format": "director-field",
      "chars": 22457
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-HAND-S5011",
   "family": "cholesteric_geometry",
   "define": {
    "family": "cholesteric_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-E44-S5011-2.57wt.txt",
      "format": "director-field",
      "chars": 22140
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-PITCH-LRCD",
   "family": "cholesteric_geometry",
   "define": {
    "family": "cholesteric_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
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      "format": "director-field",
      "chars": 21774
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    "candidates_considered": 6
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-LAMBDA-R5011",
   "family": "cholesteric_optics",
   "define": {
    "family": "cholesteric_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
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      "format": "director-field",
      "chars": 22457
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-BAND-R5011",
   "family": "cholesteric_optics",
   "define": {
    "family": "cholesteric_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
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   "construct": {
    "inputs": [
     {
      "name": "clc-E44-R5011-2.62wt.txt",
      "format": "director-field",
      "chars": 22457
     }
    ],
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   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-HTP-S5011",
   "family": "cholesteric_optics",
   "define": {
    "family": "cholesteric_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
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   "construct": {
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     {
      "name": "clc-E44-S5011-2.57wt.txt",
      "format": "director-field",
      "chars": 22140
     }
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   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-LAMBDA-RRCD",
   "family": "cholesteric_optics",
   "define": {
    "family": "cholesteric_optics",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-RRCD-coating.txt",
      "format": "director-field",
      "chars": 22429
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-DES-550",
   "family": "cholesteric_design",
   "define": {
    "family": "cholesteric_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-E44-R5011-2.20wt.txt",
      "format": "director-field",
      "chars": 21719
     },
     {
      "name": "clc-E44-R5011-2.62wt.txt",
      "format": "director-field",
      "chars": 22457
     },
     {
      "name": "clc-E44-R5011-2.90wt.txt",
      "format": "director-field",
      "chars": 22484
     },
     {
      "name": "clc-E44-R5011-3.40wt.txt",
      "format": "director-field",
      "chars": 21813
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-DES-LEFT600",
   "family": "cholesteric_design",
   "define": {
    "family": "cholesteric_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-E44-R5011-2.62wt.txt",
      "format": "director-field",
      "chars": 22457
     },
     {
      "name": "clc-E44-S5011-2.57wt.txt",
      "format": "director-field",
      "chars": 22140
     },
     {
      "name": "clc-LRCD-coating.txt",
      "format": "director-field",
      "chars": 21774
     },
     {
      "name": "clc-RRCD-coating.txt",
      "format": "director-field",
      "chars": 22429
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-CH-DES-BELOW620",
   "family": "cholesteric_design",
   "define": {
    "family": "cholesteric_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/cholesteric.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "clc-E44-R5011-2.20wt.txt",
      "format": "director-field",
      "chars": 21719
     },
     {
      "name": "clc-E44-R5011-2.40wt.txt",
      "format": "director-field",
      "chars": 21899
     },
     {
      "name": "clc-E44-R5011-2.62wt.txt",
      "format": "director-field",
      "chars": 22457
     },
     {
      "name": "clc-E44-R5011-3.00wt.txt",
      "format": "director-field",
      "chars": 22136
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-RUTILE",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-RUTILE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-ZNO",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-ZNO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 310
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-QUARTZ",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-QUARTZ-cell.txt",
      "format": "fractional-cell-table",
      "chars": 492
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-RUTILE",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-RUTILE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-ZNO",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-ZNO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 310
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-QUARTZ",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-QUARTZ-cell.txt",
      "format": "fractional-cell-table",
      "chars": 492
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-RUTILE",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-RUTILE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-BROOKITE",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-BROOKITE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 1018
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-ZNO",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-ZNO-cell.txt",
      "format": "fractional-cell-table",
      "chars": 310
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1RYP",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1RYP-residue-points.xyz",
      "format": "xyz",
      "chars": 157609
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-1RYP",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1RYP-residue-points.xyz",
      "format": "xyz",
      "chars": 157609
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1STM",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1STM-capsid-CA.xyz",
      "format": "xyz",
      "chars": 203770
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-1STM",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1STM-capsid-CA.xyz",
      "format": "xyz",
      "chars": 203770
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-2BUK",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2BUK-capsid-CA.xyz",
      "format": "xyz",
      "chars": 263856
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-2BUK",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2BUK-capsid-CA.xyz",
      "format": "xyz",
      "chars": 263856
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-GUIN-1RYP",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1RYP-residue-points.xyz",
      "format": "xyz",
      "chars": 157609
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-GUIN-1STM",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1STM-capsid-CA.xyz",
      "format": "xyz",
      "chars": 203770
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-1RYP",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1RYP-residue-points.xyz",
      "format": "xyz",
      "chars": 157609
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-2BUK",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2BUK-capsid-CA.xyz",
      "format": "xyz",
      "chars": 263856
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1RYP",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1RYP-residue-points.xyz",
      "format": "xyz",
      "chars": 157609
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-T-1STM",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1STM-subunit-centroids.txt",
      "format": "centroid-table",
      "chars": 1958
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-CAPS-2BUK",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2BUK-subunit-centroids.txt",
      "format": "centroid-table",
      "chars": 1937
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1CWP",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-1CWP",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-1SVA",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1SVA-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 11952
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-1SVA",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1SVA-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 11952
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-EXT-2FT1",
   "family": "assembly_extent",
   "define": {
    "family": "assembly_extent",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-RG-2FT1",
   "family": "assembly_rg",
   "define": {
    "family": "assembly_rg",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-1CWP",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1CWP",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-1SVA",
   "family": "debye_intensity",
   "define": {
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    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
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     {
      "name": "1SVA-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 11952
     }
    ],
    "candidates_considered": 13
   },
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    "unique_correct": true,
    "correct_label": "C",
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-1SVA",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1SVA-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 11952
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DEB-2FT1",
   "family": "debye_intensity",
   "define": {
    "family": "debye_intensity",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-QDES-2FT1",
   "family": "scattering_q_design",
   "define": {
    "family": "scattering_q_design",
    "version": "0.3.0",
    "ability": "design",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 12
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-T-1CWP",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-CAPS-1CWP",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-HEX-1CWP",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CWP-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 5691
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-T-2FT1",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ASM-HEX-2FT1",
   "family": "capsid_architecture",
   "define": {
    "family": "capsid_architecture",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/assembly.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "2FT1-chain-centroids.txt",
      "format": "centroid-table",
      "chars": 13933
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ROT-7029-111",
   "family": "rotational_line",
   "define": {
    "family": "rotational_line",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QM7X-7029.xyz",
      "format": "xyz",
      "chars": 530
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "trace_invariant"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ROT-G9-101",
   "family": "rotational_line",
   "define": {
    "family": "rotational_line",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6-G9.xyz",
      "format": "xyz",
      "chars": 753
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "trace_invariant"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ROT-G2-110",
   "family": "rotational_line",
   "define": {
    "family": "rotational_line",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6-G2.xyz",
      "format": "xyz",
      "chars": 1089
     }
    ],
    "candidates_considered": 13
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "trace_invariant"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ISO-7095-111",
   "family": "isotopologue_design",
   "define": {
    "family": "isotopologue_design",
    "version": "0.2.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "QM7X-7095.xyz",
      "format": "xyz",
      "chars": 527
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ISO-G9-110",
   "family": "isotopologue_design",
   "define": {
    "family": "isotopologue_design",
    "version": "0.2.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6-G9.xyz",
      "format": "xyz",
      "chars": 753
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-ISO-G13-111",
   "family": "isotopologue_design",
   "define": {
    "family": "isotopologue_design",
    "version": "0.2.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/rotational.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6-G13.xyz",
      "format": "xyz",
      "chars": 687
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-6LYZ-SS30",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "6LYZ-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1031
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-1CRN-SS16",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CRN-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1031
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DIST-WP6-C20O22",
   "family": "named_bond_distance",
   "define": {
    "family": "named_bond_distance",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "WP6.xyz",
      "format": "xyz",
      "chars": 3274
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-SI",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-SI-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-NACL-CL",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-NACL-CL-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-NACL-NA",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-NACL-NA-cell.txt",
      "format": "fractional-cell-table",
      "chars": 380
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-SI",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-SI-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-DIAMOND",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-DIAMOND-cell.txt",
      "format": "fractional-cell-table",
      "chars": 370
     }
    ],
    "candidates_considered": 10
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EXT-SI",
   "family": "kinematic_extinction",
   "define": {
    "family": "kinematic_extinction",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/extinction.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-EXT-SI-cell.txt",
      "format": "fractional-cell-table",
      "chars": 379
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-GUIN-1UBQ",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1UBQ-heavy-atoms.xyz",
      "format": "xyz",
      "chars": 22809
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-GUIN-1CRN",
   "family": "guinier_intensity",
   "define": {
    "family": "guinier_intensity",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1CRN-heavy-atoms.xyz",
      "format": "xyz",
      "chars": 11996
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-FRET-1BNA",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1BNA-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 19201
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-BNP002-1UBQ",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "BNP002-S0006.xyz",
      "format": "xyz",
      "chars": 1782
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-BNP002-1CRN",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "BNP002-S0007.xyz",
      "format": "xyz",
      "chars": 1036
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FC-BNP001-1CRN",
   "family": "extent_choice_v2",
   "define": {
    "family": "extent_choice_v2",
    "version": "0.3.1",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/extent_choice.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "BNP001-S0007.xyz",
      "format": "xyz",
      "chars": 1036
     }
    ],
    "candidates_considered": 11
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "legacy_agreement"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-HBG-TWO-OO",
   "family": "hbond_geometry",
   "define": {
    "family": "hbond_geometry",
    "version": "0.1.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/hbond.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "HBP002-S0005.xyz",
      "format": "xyz",
      "chars": 397
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "donor_h_bonded"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
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   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-KER-NEMATIC",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 695
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-COT-BEND",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 538
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-SHA-IONS",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 731
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-ALT-THREE",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 598
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-CAO-POCKETS",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 727
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-KER-BANDWIDTH",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 577
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-KER-GAP",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 602
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-COT-LATTICE",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 525
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-ALT-STABILITY",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 498
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVQ-FOO-LAYERS",
   "family": "evidence_quantity",
   "define": {
    "family": "evidence_quantity",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 569
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-MUH-SKYRMION",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 821
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVQ-FIL-RBCS",
   "family": "evidence_quantity",
   "define": {
    "family": "evidence_quantity",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 521
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-FIL-ANGLE",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 713
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-JIA-CHANNEL",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 697
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-JIA-SEQUENCE",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 796
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVQ-JIA-CLAMP",
   "family": "evidence_quantity",
   "define": {
    "family": "evidence_quantity",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 594
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-KCS-COLLAPSE",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 901
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-EVE-RAS-DOMAIN",
   "family": "evidence_elimination",
   "define": {
    "family": "evidence_elimination",
    "version": "0.1.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/evidence.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "evidence.txt",
      "format": "text",
      "chars": 909
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "unique_survivor"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-CU",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-CU-cell.txt",
      "format": "fractional-cell-table",
      "chars": 239
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-CU",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-CU-cell.txt",
      "format": "fractional-cell-table",
      "chars": 239
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-FE",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-FE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 171
     }
    ],
    "candidates_considered": 5
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-FE",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-FE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 171
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-MG",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-MG-cell.txt",
      "format": "fractional-cell-table",
      "chars": 246
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-MG",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-MG-cell.txt",
      "format": "fractional-cell-table",
      "chars": 246
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-ALNI",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-ALNI-cell.txt",
      "format": "fractional-cell-table",
      "chars": 192
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-ALNI",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-ALNI-cell.txt",
      "format": "fractional-cell-table",
      "chars": 192
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-B5H9",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-B5H9-cell.txt",
      "format": "fractional-cell-table",
      "chars": 4096
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-B5H9",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-B5H9-cell.txt",
      "format": "fractional-cell-table",
      "chars": 4096
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-K2CUF4",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-K2CUF4-cell.txt",
      "format": "fractional-cell-table",
      "chars": 682
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-K2CUF4",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-K2CUF4-cell.txt",
      "format": "fractional-cell-table",
      "chars": 682
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-MN2CO10",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-MN2CO10-cell.txt",
      "format": "fractional-cell-table",
      "chars": 3282
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-MN2CO10",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-MN2CO10-cell.txt",
      "format": "fractional-cell-table",
      "chars": 3282
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-PARA-I",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-PARA-I-cell.txt",
      "format": "fractional-cell-table",
      "chars": 2987
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-PARA-I",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-PARA-I-cell.txt",
      "format": "fractional-cell-table",
      "chars": 2987
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-PARA-II",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-PARA-II-cell.txt",
      "format": "fractional-cell-table",
      "chars": 5792
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-PARA-II",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-PARA-II-cell.txt",
      "format": "fractional-cell-table",
      "chars": 5792
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-PENTACENE",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-PENTACENE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 2697
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-PENTACENE",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-PENTACENE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 2697
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-HAP",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-HAP-cell.txt",
      "format": "fractional-cell-table",
      "chars": 1665
     }
    ],
    "candidates_considered": 6
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-HAP",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-HAP-cell.txt",
      "format": "fractional-cell-table",
      "chars": 1665
     }
    ],
    "candidates_considered": 8
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-COORD-ARAGONITE",
   "family": "coordination_shell",
   "define": {
    "family": "coordination_shell",
    "version": "0.3.0",
    "ability": "perception",
    "output": "choice",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-COORD-ARAGONITE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 876
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-PEAK-ARAGONITE",
   "family": "first_diffraction_peak",
   "define": {
    "family": "first_diffraction_peak",
    "version": "0.3.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/crystal.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "FA-PEAK-ARAGONITE-cell.txt",
      "format": "fractional-cell-table",
      "chars": 876
     }
    ],
    "candidates_considered": 9
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1A6M-TOR-2-PHI",
   "family": "backbone_torsion",
   "define": {
    "family": "backbone_torsion",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1A6M-A2-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1663
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": [
     "implementations_agree",
     "periodic_separation"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1A6M-SS-6",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1A6M-A6-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 2137
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1A6M-FRET-1-15",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1A6M-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 95120
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1A6M-DS-2-6",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1A6M-6-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4033
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1A6M-FD-25-1-18",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
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     {
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      "format": "pdb-excerpt",
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     }
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
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    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1FHA-TOR-6-PHI",
   "family": "backbone_torsion",
   "define": {
    "family": "backbone_torsion",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
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      "format": "pdb-excerpt",
      "chars": 1426
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": [
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     "periodic_separation"
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   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1FHA-FRET-5-22",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1FHA-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 105706
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "B",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1FHA-DS-6-9",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1FHA-9-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 5534
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1FHA-FD-25-5-42",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1FHA-42-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4744
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-12E8-TOR-2-PHI",
   "family": "backbone_torsion",
   "define": {
    "family": "backbone_torsion",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "12E8-H2-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1979
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": [
     "implementations_agree",
     "periodic_separation"
    ]
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-12E8-SS-3",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "12E8-H3-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1900
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-12E8-FRET-1-8",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "12E8-chainH.pdb",
      "format": "pdb-excerpt",
      "chars": 132882
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-12E8-DS-7-21",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "12E8-21-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 5850
     }
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    "candidates_considered": 4
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   "verify": {
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    "unique_correct": true,
    "correct_label": "A",
    "checks": []
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   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-12E8-FD-25-1-11",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "12E8-11-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 7430
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1HHK-TOR-2-PHI",
   "family": "backbone_torsion",
   "define": {
    "family": "backbone_torsion",
    "version": "0.2.0",
    "ability": "perception",
    "output": "choice+numeric",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1HHK-A2-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1584
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": [
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     "periodic_separation"
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   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1HHK-SS-3",
   "family": "secondary_structure",
   "define": {
    "family": "secondary_structure",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice",
    "module": "task_families/local_geometry.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1HHK-A3-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 1742
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
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   "modules": {
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    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1HHK-FRET-1-7",
   "family": "fret_efficiency",
   "define": {
    "family": "fret_efficiency",
    "version": "0.2.0",
    "ability": "inference",
    "output": "choice+numeric",
    "module": "task_families/scattering.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1HHK-chainA.pdb",
      "format": "pdb-excerpt",
      "chars": 177517
     }
    ],
    "candidates_considered": 7
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1HHK-DS-5-168",
   "family": "disulfide_design",
   "define": {
    "family": "disulfide_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1HHK-168-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 5929
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "EN-1HHK-FD-25-1-16",
   "family": "fret_design",
   "define": {
    "family": "fret_design",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/protein_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "1HHK-16-design-excerpt.pdb",
      "format": "pdb-excerpt",
      "chars": 4507
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-VIN-WALLS",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/paper_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "candidates.txt",
      "format": "text",
      "chars": 1760
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-VIN-MV",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
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    "ability": "design",
    "output": "choice",
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      "format": "text",
      "chars": 1966
     }
    ],
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    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-RAN-NITRATE",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/paper_design.py"
   },
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      "chars": 1391
     }
    ],
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   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "C",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-RAN-BROMIDE",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/paper_design.py"
   },
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     }
    ],
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   },
   "verify": {
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    "unique_correct": true,
    "correct_label": "D",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-CHE-SIEVE",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/paper_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "candidates.txt",
      "format": "text",
      "chars": 1074
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "A",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  },
  {
   "id": "FA-DES-CHE-FLOW",
   "family": "design_choice",
   "define": {
    "family": "design_choice",
    "version": "0.1.0",
    "ability": "design",
    "output": "choice",
    "module": "task_families/paper_design.py"
   },
   "construct": {
    "inputs": [
     {
      "name": "candidates.txt",
      "format": "text",
      "chars": 1074
     }
    ],
    "candidates_considered": 4
   },
   "verify": {
    "four_options_verified": true,
    "unique_correct": true,
    "correct_label": "B",
    "checks": []
   },
   "modules": {
    "M0": "范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）",
    "M1": "材料：docs/assets 输入、来源、许可与 SHA-256",
    "M2": "证据：计算器复核或数据集性质记录（审核侧）",
    "M3": "题型契约：registry.json 中的族定义与适用条件",
    "M4": "构造：族函数生成题干、正确值与候选错误机制",
    "M5": "质量：四项逐一核验、唯一性、分隔、捷径诊断",
    "M6": "导出：学生包 / 审核包分离与运行快照"
   }
  }
 ],
 "code": {
  "task_families/__init__.py": "\"\"\"Reusable task families. Each family id maps to one build function and one\nability; the engine never dispatches by question ID.\"\"\"\nfrom . import local_geometry, force_path, extinction, conformer_design, extent_choice, stereo, crystal, scattering, assembly, superlattice, photonic, moire, hostguest, quantum_dot, diffraction_design, protein_design, vortex, cholesteric, rotational, hbond, evidence, paper_design\n\nFAMILIES = {\n    'named_bond_angle': dict(build=local_geometry.build_bond_angle, ability='perception',\n                             output='choice+numeric', version=local_geometry.VERSION, module='task_families/local_geometry.py'),\n    'backbone_torsion': dict(build=local_geometry.build_backbone_torsion, ability='perception',\n                             output='choice+numeric', version=local_geometry.VERSION, module='task_families/local_geometry.py'),\n    'extent_choice_v2': dict(build=extent_choice.build, ability='perception',\n                             output='choice+numeric', version=extent_choice.VERSION, module='task_families/extent_choice.py'),\n    'force_path_derivative': dict(build=force_path.build, ability='inference',\n                                  output='choice+numeric', version=force_path.VERSION, module='task_families/force_path.py'),\n    'kinematic_extinction': dict(build=extinction.build, ability='inference',\n                                 output='choice', version=extinction.VERSION, module='task_families/extinction.py'),\n    'conformer_target_selection': dict(build=conformer_design.build, ability='design',\n                                       output='choice', version=conformer_design.VERSION, module='task_families/conformer_design.py'),\n    'stereo_relationship': dict(build=stereo.build_relationship, ability='perception',\n                                output='choice', version=stereo.VERSION, module='task_families/stereo.py'),\n    'stereo_property_inference': dict(build=stereo.build_property, ability='inference',\n                                      output='choice', version=stereo.VERSION, module='task_families/stereo.py'),\n    'stereo_design_selection': dict(build=stereo.build_design, ability='design',\n                                    output='choice', version=stereo.VERSION, module='task_families/stereo.py'),\n    'named_bond_distance': dict(build=local_geometry.build_bond_distance, ability='perception',\n                                output='choice+numeric', version=local_geometry.VERSION, module='task_families/local_geometry.py'),\n    'coordination_shell': dict(build=crystal.build_coordination, ability='perception',\n                               output='choice', version=crystal.VERSION, module='task_families/crystal.py'),\n    'first_diffraction_peak': dict(build=crystal.build_first_peak, ability='inference',\n                                   output='choice+numeric', version=crystal.VERSION, module='task_families/crystal.py'),\n    'fret_efficiency': dict(build=scattering.build_fret, ability='inference',\n                            output='choice+numeric', version=scattering.VERSION, module='task_families/scattering.py'),\n    'guinier_intensity': dict(build=scattering.build_guinier, ability='inference',\n                              output='choice+numeric', version=scattering.VERSION, module='task_families/scattering.py'),\n    'assembly_extent': dict(build=assembly.build_extent, ability='perception',\n                            output='choice+numeric', version=assembly.VERSION, module='task_families/assembly.py'),\n    'assembly_rg': dict(build=assembly.build_rg, ability='perception',\n                        output='choice+numeric', version=assembly.VERSION, module='task_families/assembly.py'),\n    'capsid_architecture': dict(build=assembly.build_capsid, ability='inference',\n                                output='choice+numeric', version=assembly.VERSION, module='task_families/assembly.py'),\n    'debye_intensity': dict(build=assembly.build_debye, ability='inference',\n                            output='choice+numeric', version=assembly.VERSION, module='task_families/assembly.py'),\n    'scattering_q_design': dict(build=assembly.build_q_design, ability='design',\n                                output='choice+numeric', version=assembly.VERSION, module='task_families/assembly.py'),\n    'superlattice_shell': dict(build=superlattice.build_shell, ability='perception',\n                               output='choice', version=superlattice.VERSION, module='task_families/superlattice.py'),\n    'superlattice_metric': dict(build=superlattice.build_perception, ability='perception',\n                                output='choice+numeric', version=superlattice.VERSION, module='task_families/superlattice.py'),\n    'superlattice_saxs': dict(build=superlattice.build_inference, ability='inference',\n                              output='choice+numeric', version=superlattice.VERSION, module='task_families/superlattice.py'),\n    'superlattice_design': dict(build=superlattice.build_design, ability='design',\n                                output='choice', version=superlattice.VERSION, module='task_families/superlattice.py'),\n    'opal_geometry': dict(build=photonic.build_geometry, ability='perception',\n                          output='choice+numeric', version=photonic.VERSION, module='task_families/photonic.py'),\n    'opal_bragg': dict(build=photonic.build_bragg, ability='inference',\n                       output='choice+numeric', version=photonic.VERSION, module='task_families/photonic.py'),\n    'opal_design': dict(build=photonic.build_design, ability='design',\n                        output='choice', version=photonic.VERSION, module='task_families/photonic.py'),\n    'moire_geometry': dict(build=moire.build_geometry, ability='perception',\n                           output='choice+numeric', version=moire.VERSION, module='task_families/moire.py'),\n    'moire_inference': dict(build=moire.build_inference, ability='inference',\n                            output='choice+numeric', version=moire.VERSION, module='task_families/moire.py'),\n    'moire_design': dict(build=moire.build_design, ability='design',\n                         output='choice', version=moire.VERSION, module='task_families/moire.py'),\n    'secondary_structure': dict(build=local_geometry.build_secondary_structure, ability='inference',\n                                output='choice', version=local_geometry.VERSION, module='task_families/local_geometry.py'),\n    'binding_evidence_choice': dict(build=hostguest.build_evidence, ability='inference',\n                                    output='choice', version=hostguest.VERSION, module='task_families/hostguest.py'),\n    'binding_design_choice': dict(build=hostguest.build_design, ability='design',\n                                  output='choice', version=hostguest.VERSION, module='task_families/hostguest.py'),\n    'qdot_optics': dict(build=quantum_dot.build_inference, ability='inference',\n                        output='choice+numeric', version=quantum_dot.VERSION, module='task_families/quantum_dot.py'),\n    'qdot_design': dict(build=quantum_dot.build_design, ability='design',\n                        output='choice', version=quantum_dot.VERSION, module='task_families/quantum_dot.py'),\n    'diffraction_design': dict(build=diffraction_design.build, ability='design',\n                               output='choice', version=diffraction_design.VERSION, module='task_families/diffraction_design.py'),\n    'disulfide_design': dict(build=protein_design.build_disulfide, ability='design',\n                             output='choice', version=protein_design.VERSION, module='task_families/protein_design.py'),\n    'fret_design': dict(build=protein_design.build_fret, ability='design',\n                        output='choice', version=protein_design.VERSION, module='task_families/protein_design.py'),\n    'vortex_geometry': dict(build=vortex.build_geometry, ability='perception',\n        output='choice+numeric', version=vortex.VERSION, module='task_families/vortex.py'),\n    'vortex_inference': dict(build=vortex.build_inference, ability='inference',\n        output='choice+numeric', version=vortex.VERSION, module='task_families/vortex.py'),\n    'vortex_design': dict(build=vortex.build_design, ability='design',\n        output='choice', version=vortex.VERSION, module='task_families/vortex.py'),\n    'cholesteric_geometry': dict(build=cholesteric.build_geometry, ability='perception',\n        output='choice+numeric', version=cholesteric.VERSION, module='task_families/cholesteric.py'),\n    'cholesteric_optics': dict(build=cholesteric.build_inference, ability='inference',\n        output='choice+numeric', version=cholesteric.VERSION, module='task_families/cholesteric.py'),\n    'cholesteric_design': dict(build=cholesteric.build_design, ability='design',\n        output='choice', version=cholesteric.VERSION, module='task_families/cholesteric.py'),\n    'rotational_line': dict(build=rotational.build_line, ability='inference',\n        output='choice+numeric', version=rotational.VERSION, module='task_families/rotational.py'),\n    'isotopologue_design': dict(build=rotational.build_isotopologue, ability='design',\n        output='choice', version=rotational.VERSION, module='task_families/rotational.py'),\n    'hbond_geometry': dict(build=hbond.build_geometry, ability='perception',\n        output='choice+numeric', version=hbond.VERSION, module='task_families/hbond.py'),\n    'hbond_criteria': dict(build=hbond.build_criteria, ability='inference',\n        output='choice', version=hbond.VERSION, module='task_families/hbond.py'),\n    'evidence_quantity': dict(build=evidence.build_quantity, ability='inference',\n        output='choice', version=evidence.VERSION, module='task_families/evidence.py'),\n    'evidence_elimination': dict(build=evidence.build_elimination, ability='inference',\n        output='choice', version=evidence.VERSION, module='task_families/evidence.py'),\n    'design_choice': dict(build=paper_design.build, ability='design',\n        output='choice', version=paper_design.VERSION, module='task_families/paper_design.py'),\n}\n",
  "task_families/assembly.py": "\"\"\"Large assemblies (10-1000 nm): whole-particle size, capsid architecture and whole-particle scattering.\n\nInputs are the reduced public assets built by tools/build_assembly_assets.py (one point per\nresidue, or per-chain centroids after the deposited icosahedral expansion). The reasoning\nscale is the whole particle, so these questions genuinely sit in the 10-100 / 100-1000 nm\ncells; local quantities such as neighbouring-subunit spacing (~5 nm) are deliberately not\nused here because they would belong to the 1-10 nm cell.\n\"\"\"\nimport math\nfrom decimal import Decimal, localcontext\nimport numpy as np\nfrom . import kit\n\nVERSION = '0.3.0'\nALLOWED_T = sorted({h * h + h * k + k * k for h in range(0, 16) for k in range(0, 16) if h + k > 0})\n\n\ndef load(root, spec):\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    text = raw.decode('utf-8')\n    if spec['asset'].endswith('.xyz'):\n        elements, points = kit.parse_xyz(text, max_atoms=20000)\n        labels = elements\n    else:\n        rows = [line.split() for line in text.splitlines()[1:] if line.strip()]\n        labels, points = [r[0] for r in rows], [tuple(float(x) for x in r[2:5]) for r in rows]\n    fmt = 'xyz' if spec['asset'].endswith('.xyz') else 'centroid-table'\n    return text, fmt, labels, points, kit.sha256(raw)\n\n\ndef select(labels, points, component):\n    return [p for l, p in zip(labels, points) if component in (None, l)]\n\n\n_DMAX = {}\n\n\ndef dmax_pair(points):\n    \"\"\"Chunked float search, then Decimal re-evaluation of the winning pair (cached per point set).\"\"\"\n    cache_key = (len(points), points[0], points[-1], hash(tuple(points)))\n    if cache_key in _DMAX:\n        return _DMAX[cache_key]\n    a = np.asarray(points, dtype=float)\n    best, pair = -1.0, None\n    for start in range(0, len(a), 1000):\n        block = a[start:start + 1000]\n        d2 = ((block[:, None, :] - a[None, :, :]) ** 2).sum(axis=2)\n        i, j = np.unravel_index(np.argmax(d2), d2.shape)\n        if d2[i, j] > best:\n            best, pair = float(d2[i, j]), (start + int(i), int(j))\n    with localcontext() as ctx:\n        ctx.prec = 40\n        exact = sum((Decimal(repr(points[pair[0]][k])) - Decimal(repr(points[pair[1]][k]))) ** 2 for k in range(3)).sqrt()\n    if abs(float(exact) - math.sqrt(best)) > 1e-6:\n        raise ValueError('Decimal re-evaluation disagrees')\n    _DMAX[cache_key] = (float(exact), pair)\n    return _DMAX[cache_key]\n\n\ndef rg(points):\n    a = np.asarray(points, dtype=float)\n    value = float(np.sqrt(((a - a.mean(axis=0)) ** 2).sum(axis=1).mean()))\n    with localcontext() as ctx:\n        ctx.prec = 40\n        n = len(points)\n        c = [sum(Decimal(repr(p[k])) for p in points) / n for k in range(3)]\n        exact = (sum(sum((Decimal(repr(p[k])) - c[k]) ** 2 for k in range(3)) for p in points) / n).sqrt()\n    if abs(float(exact) - value) > 1e-6:\n        raise ValueError('Decimal centroid formula disagrees')\n    return float(exact)\n\n\ndef size_candidates(points, others):\n    a = np.asarray(points, dtype=float)\n    radii = np.sqrt(((a - a.mean(axis=0)) ** 2).sum(axis=1))\n    span = a.max(axis=0) - a.min(axis=0)\n    r = rg(points)\n    out = [dict(rule='bounding_box_diagonal', value=float(np.sqrt((span ** 2).sum())), plausibility=3,\n                reason='用坐标轴对齐包围盒对角线代替实际最大间距。'),\n           dict(rule='centroid_diameter', value=float(2 * radii.max()), plausibility=2, reason='用两倍最大中心距代替最大点对间距。'),\n           dict(rule='largest_axis_span', value=float(span.max()), plausibility=2, reason='只取单一坐标轴上的最大跨度。'),\n           dict(rule='mean_radius', value=float(radii.mean()), plausibility=2, reason='用中心距的算术平均。'),\n           dict(rule='max_radius', value=float(radii.max()), plausibility=2, reason='用最大中心距（半径而非直径或均方根）。'),\n           dict(rule='sphere_radius_from_rg', value=r * math.sqrt(5 / 3), plausibility=2, reason='按实心球关系 R = √(5/3)·Rg 换成半径。'),\n           dict(rule='two_rg', value=2 * r, plausibility=1, reason='把回转半径乘二。'),\n           dict(rule='radius_of_gyration', value=r, plausibility=1, reason='把回转半径当作所问的量。'),\n           dict(rule='single_axis_rms', value=float(np.sqrt(((a - a.mean(axis=0)) ** 2).mean(axis=0).max())), plausibility=2,\n                reason='只算了一个坐标轴方向的均方根离散度，而不是三维距离。')]\n    # v0.3.0: solid-sphere conversions in both directions. For hollow shells most other size estimates coincide with\n    # Dmax (rejected as too close), so the answer could never be A for Dmax or C/D for Rg (enumeration probe runs/enum-v23).\n    dm = dmax_pair(points)[0]\n    out += [dict(rule='sphere_diameter_from_rg', value=2 * r * math.sqrt(5 / 3), plausibility=2,\n                 reason='按实心球关系由回转半径推直径 D = 2√(5/3)·Rg（空心外壳会高估）。'),\n            dict(rule='rg_from_dmax_solid_sphere', value=math.sqrt(3 / 5) * dm / 2, plausibility=2,\n                 reason='按实心球关系由最大尺寸估算回转半径 Rg = √(3/5)·Dmax/2（空心外壳会低估）。')]\n    if others is not None:\n        out.append(dict(rule='wrong_selection', value=dmax_pair(others)[0], plausibility=3,\n                        reason='用了全部组分的点，而题目只问指定组分。'))\n    return out\n\n\ndef build_size(spec, root, seed, measure):\n    text, fmt, labels, points, digest = load(root, spec)\n    chosen = select(labels, points, spec.get('component'))\n    others = points if spec.get('component') and len(chosen) < len(points) else None\n    if measure == 'extent':\n        value = dmax_pair(chosen)[0] / 10\n        ask = 'the largest distance between any two of the selected points'\n    else:\n        value = rg(chosen) / 10\n        ask = 'the equal-weight radius of gyration of the selected points (every point weighted equally)'\n    cands = [dict(c, value=c['value'] / 10) for c in size_candidates(chosen, others)\n             if not (measure == 'extent' and c['rule'] == 'radius_of_gyration') and not (measure == 'rg' and c['rule'] == 'two_rg')]\n    if measure == 'rg':\n        cands.append(dict(rule='max_distance', value=dmax_pair(chosen)[0] / 10, plausibility=1, reason='报告了最大点对间距。'))\n    decimals, tol, sep = 2, '0.005', '0.30'\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation='0.10')\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit='nm', seed=seed, context=spec['id'],\n                                       correct_reason='按定义在所选点上计算（numpy 分块搜索 + Decimal 复核）。')\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit='nm',\n                               distractor_separation='0.10')\n    which = ('all points labelled %s' % spec['component']) if spec.get('component') else 'all supplied points'\n    question = ('%s Select %s. What is %s, in nanometres?' % (spec['context'], which, ask))\n    dm = dmax_pair(chosen)[0] / 10\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format=fmt, unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(value, decimals), unit='nm', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(points=len(chosen), component=spec.get('component'), value_nm=value, dmax_nm=dm,\n                    limits='约简表示（每残基一点或每链质心）上的几何量；不是溶液中的流体力学尺寸。'),\n        scales=dict(input_nm=dmax_pair(points)[0] / 10, reasoning_nm=dm, reasoning_definition='所选点集的最大间距（整个颗粒）'),\n        input_hashes={spec['asset']: digest})\n\n\ndef build_extent(spec, root, seed):\n    return build_size(spec, root, seed, 'extent')\n\n\ndef build_rg(spec, root, seed):\n    return build_size(spec, root, seed, 'rg')\n\n\ndef build_trimer_capsid(spec, text, fmt, points, shell, digest, seed):\n    \"\"\"Large dsDNA-virus capsids (e.g. PBCV-1): the major capsid protein forms trimeric pseudo-hexameric\n    capsomers, 10(T-1) of them, and the 12 pentons are a different protein, so N = 30(T-1).\"\"\"\n    n = len(shell)\n    if n % 30 or n // 30 + 1 not in ALLOWED_T:\n        raise ValueError('Major-capsid-protein copies are not 30(T-1) for an allowed T')\n    t = n // 30 + 1\n    near = sorted((x for x in ALLOWED_T if x != t), key=lambda x: (abs(x - t), x))\n    cands = [dict(rule='monomer_60T_rule', value=n / 60, plausibility=3, reason='按单体外壳 N = 60T 计算（忽略三聚体壳粒）。'),\n             dict(rule='trimers_as_60T', value=n / 180, plausibility=2, reason='把三聚体数当作 60T 个亚基。'),\n             dict(rule='forgot_pentons', value=n / 30, plausibility=3, reason='漏掉 +1：三聚体壳粒只占 10(T−1)，五邻体另由其他蛋白构成。'),\n             dict(rule='hexamer_rule', value=n / 60 + 1, plausibility=2, reason='把三聚体当成六聚体计（N = 60(T−1)）。')]\n    cands += [dict(rule='neighbouring_allowed_T_%d' % x, value=x, plausibility=1, reason='相邻的允许三角剖分数 T=%d；与 N/30 + 1 不符。' % x)\n              for x in near[:2]]\n    picked, rejected, goal, rank = kit.choose_numeric(t, [c for c in cands if c['value'] == int(c['value'])], decimals=0,\n                                                      tolerance='0.4', min_separation='0.9', seed=seed, context=spec['id'],\n                                                      lower=0, target=spec.get('target_position'))\n    options, audit = kit.label_numeric(t, picked, decimals=0, unit='', seed=seed, context=spec['id'],\n                                       correct_reason='N = %d 个 %s，三聚体壳粒 N/3 = 10(T−1)，T = N/30 + 1 = %d。' % (n, spec['component'], t))\n    key = kit.validate_numeric(options, t, decimals=0, tolerance='0.4', min_separation='0.9', unit='')\n    question = ('%s Each row is one copy of a protein, labelled by component. In this capsid the major capsid protein %s forms trimeric '\n                'pseudo-hexameric capsomers, and the 12 pentamers at the vertices are formed by a different protein. What is the '\n                'triangulation number T of the icosahedral shell?' % (spec['context'], spec['component']))\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format=fmt, unit='angstrom', text=text)],\n        numeric=dict(value=str(t), unit='', decimals=0, tolerance='0.4'),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(copies=n, T=t, component=spec['component'], relation='trimeric capsomers: N = 3 × 10(T−1)',\n                    limits='假设完整二十面体外壳（沉积的对称操作）；五邻体蛋白不计入 N。'),\n        scales=dict(input_nm=dmax_pair(points)[0] / 10, reasoning_nm=dmax_pair(shell)[0] / 10,\n                    reasoning_definition='整个外壳：所选组分点集的最大间距'),\n        input_hashes={spec['asset']: digest})\n\n\ndef build_capsid(spec, root, seed):\n    \"\"\"Caspar–Klug architecture from the copy number N of the shell protein: T = N / 60,\n    capsomers = 10T + 2 (12 pentamers + 10(T-1) hexamers).\"\"\"\n    text, fmt, labels, points, digest = load(root, spec)\n    shell = select(labels, points, spec['component'])\n    n = len(shell)\n    if spec.get('capsomer_form') == 'trimer':\n        return build_trimer_capsid(spec, text, fmt, points, shell, digest, seed)\n    if n % 60 or n // 60 not in ALLOWED_T:\n        raise ValueError('Shell copy number is not 60T for an allowed T')\n    t = n // 60\n    ask = spec['ask']\n    truth = {'T': t, 'capsomers': 10 * t + 2, 'hexons': 10 * (t - 1)}[ask]\n    near = [x for x in ALLOWED_T if x != t]\n    near.sort(key=lambda x: (abs(x - t), x))\n    cands = {'T': [dict(rule='neighbouring_allowed_T_%d' % x, value=x, plausibility=2, reason='相邻的允许三角剖分数 T=%d；与 N/60 不符。' % x)\n                   for x in near[:4]],\n             'capsomers': [dict(rule='all_hexamers', value=n / 6, plausibility=3, reason='把所有亚基都当作六聚体。'),\n                           dict(rule='all_pentamers', value=n / 5, plausibility=2, reason='把所有亚基都当作五聚体。'),\n                           dict(rule='hexons_only', value=10 * (t - 1), plausibility=3, reason='只数了六邻体，漏掉 12 个五邻体。'),\n                           dict(rule='pentons_only', value=12, plausibility=1, reason='只数了 12 个五邻体。'),\n                           dict(rule='copies_as_capsomers', value=n, plausibility=1, reason='把亚基数当作壳粒数。')],\n             'hexons': [dict(rule='all_capsomers', value=10 * t + 2, plausibility=3, reason='把五邻体也算作六邻体。'),\n                        dict(rule='all_hexamers', value=n / 6, plausibility=3, reason='把所有亚基都当作六聚体。'),\n                        dict(rule='pentons_as_hexons', value=12, plausibility=1, reason='报告了五邻体数。'),\n                        dict(rule='hexon_subunits', value=n - 60, plausibility=2, reason='报告了六邻体中的亚基数而非六邻体数。')]}[ask]\n    picked, rejected, goal, rank = kit.choose_numeric(truth, [c for c in cands if c['value'] == int(c['value'])], decimals=0,\n                                                      tolerance='0.4', min_separation='0.9', seed=seed, context=spec['id'],\n                                                      lower=0, target=spec.get('target_position'))\n    options, audit = kit.label_numeric(truth, picked, decimals=0, unit='', seed=seed, context=spec['id'],\n                                       correct_reason='N = %d 个 %s，T = N/60 = %d；五邻体 12 个，六邻体 10(T−1)。' % (n, spec['component'], t))\n    key = kit.validate_numeric(options, truth, decimals=0, tolerance='0.4', min_separation='0.9', unit='')\n    what = {'T': 'the triangulation number T of the icosahedral shell formed by %s' % spec['component'],\n            'capsomers': 'the total number of capsomers (pentamers plus hexamers) in the shell formed by %s' % spec['component'],\n            'hexons': 'the number of hexameric capsomers (hexons) in the shell formed by %s' % spec['component']}[ask]\n    question = '%s Each row is one copy of a protein, labelled by component. What is %s?' % (spec['context'], what)\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format=fmt, unit='angstrom', text=text)],\n        numeric=dict(value=str(truth), unit='', decimals=0, tolerance='0.4'),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(copies=n, T=t, component=spec['component'], relation='Caspar–Klug: N = 60T; capsomers = 12 + 10(T−1)',\n                    limits='假设完整二十面体外壳（沉积的对称操作）；不区分门户顶点等局部不对称。'),\n        scales=dict(input_nm=dmax_pair(points)[0] / 10, reasoning_nm=dmax_pair(shell)[0] / 10,\n                    reasoning_definition='整个外壳：所选组分点集的最大间距'),\n        input_hashes={spec['asset']: digest})\n\n\n# ------------------------------------------------------------------ whole-particle scattering (Debye)\n_PAIRS = {}\n\n\ndef pair_distances(points):\n    \"\"\"All i<j distances in nm (cached per point set).\"\"\"\n    cache_key = (len(points), points[0], points[-1], hash(tuple(points)))\n    if cache_key not in _PAIRS:\n        a = np.asarray(points, dtype=float) / 10\n        rows = [np.sqrt(((a[i + 1:] - a[i]) ** 2).sum(axis=1)) for i in range(len(a) - 1)]\n        _PAIRS[cache_key] = np.concatenate(rows)\n    return _PAIRS[cache_key]\n\n\ndef debye(points, q):\n    \"\"\"Orientation-averaged I(q)/I(0) of identical point scatterers:\n    [N + 2 sum_{i<j} sin(q r)/(q r)] / N^2 (q in nm^-1).\"\"\"\n    n = len(points)\n    if q == 0:\n        return 1.0\n    return (n + 2 * float(np.sinc(q * pair_distances(points) / math.pi).sum())) / n ** 2\n\n\ndef debye_check(points, q):\n    \"\"\"Second implementation: full N x N sum in row blocks with explicit sin(x)/x (diagonal = 1).\"\"\"\n    a = np.asarray(points, dtype=float) / 10\n    total = 0.0\n    for start in range(0, len(a), 400):\n        x = q * np.sqrt(((a[start:start + 400, None, :] - a[None, :, :]) ** 2).sum(axis=2))\n        safe = np.where(x > 0, x, 1.0)\n        total += math.fsum(np.where(x > 0, np.sin(safe) / safe, 1.0).sum(axis=1))\n    return total / len(a) ** 2\n\n\ndef single_orientation(points, q):\n    \"\"\"|sum exp(i q x_j)|^2 / N^2 for q along the x axis only (no orientational average).\"\"\"\n    x = np.asarray(points, dtype=float)[:, 0] / 10\n    return float(abs(np.exp(1j * q * x).sum()) ** 2) / len(x) ** 2\n\n\ndef sphere(q, radius):\n    x = q * radius\n    return 1.0 if x == 0 else (3 * (math.sin(x) - x * math.cos(x)) / x ** 3) ** 2\n\n\ndef first_crossing(f, target, step, qmax):\n    \"\"\"Smallest q > 0 with f(q) = target: march in `step`, then bisect the bracketing interval.\"\"\"\n    lo, flo = 0.0, f(0.0)\n    q = step\n    while q <= qmax:\n        fq = f(q)\n        if (fq - target) * (flo - target) <= 0 and fq != flo:\n            hi = q\n            for _ in range(60):\n                mid = (lo + hi) / 2\n                fm = f(mid)\n                if (fm - target) * (flo - target) > 0:\n                    lo, flo = mid, fm\n                else:\n                    hi = mid\n            return (lo + hi) / 2\n        lo, flo, q = q, fq, q + step\n    return None\n\n\ndef subject(spec, which):\n    return '%s Select %s. Treat each selected point as an identical point scatterer (no form factor, no solvent).' % (\n        spec['context'], which)\n\n\ndef axis_spread(points):\n    a = np.asarray(points, dtype=float)\n    return float(np.sqrt(((a - a.mean(axis=0)) ** 2).mean(axis=0).max())) / 10\n\n\ndef scatter_setup(spec, root):\n    text, fmt, labels, points, digest = load(root, spec)\n    chosen = select(labels, points, spec.get('component'))\n    which = ('all points labelled %s' % spec['component']) if spec.get('component') else 'all supplied points'\n    return text, fmt, chosen, which, rg(chosen) / 10, dmax_pair(chosen)[0] / 10, digest, dmax_pair(points)[0] / 10\n\n\ndef scatter_packet(spec, text, fmt, question, value, decimals, tol, unit, options, key, audit, rejected, goal, rank, checks,\n                   whole, dm, digest):\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format=fmt, unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=checks,\n        scales=dict(input_nm=whole, reasoning_nm=dm, reasoning_definition='所选点集的最大间距（整个颗粒；探测长度 2π/q 同量级）'),\n        input_hashes={spec['asset']: digest})\n\n\ndef build_debye(spec, root, seed):\n    text, fmt, pts, which, radius, dm, digest, whole = scatter_setup(spec, root)\n    q = spec['q_per_nm']\n    if round(q, 3) != q:     # the question prints q with 3 decimals; a finer q would make question and key disagree\n        raise ValueError('q must be stated exactly with 3 decimals')\n    value = debye(pts, q)\n    if abs(value - debye_check(pts, q)) > 1e-9:\n        raise ValueError('Debye implementations disagree')\n    if q * radius <= 1.3:\n        raise ValueError('Use guinier_intensity inside the Guinier range')\n    n = len(pts)\n    cands = [dict(rule='guinier_outside_range', value=math.exp(-(q * radius) ** 2 / 3), plausibility=3,\n                  reason='在 qRg = %.2f > 1.3 处仍用 Guinier 近似。' % (q * radius)),\n             dict(rule='uniform_sphere_same_rg', value=sphere(q, radius * math.sqrt(5 / 3)), plausibility=3,\n                  reason='把颗粒当作 Rg 相同的均匀实心球（忽略实际形状）。'),\n             dict(rule='single_orientation_x', value=single_orientation(pts, q), plausibility=2,\n                  reason='只沿 x 轴取一个 q 方向，没有做取向平均。'),\n             dict(rule='without_self_terms', value=(value * n * n - n) / (n * (n - 1)), plausibility=2,\n                  reason='求和时漏掉 i = j 的自项，并按 N(N−1) 归一。'),\n             dict(rule='amplitude_not_intensity', value=math.sqrt(value) if value > 0 else None, plausibility=2,\n                  reason='报告了平方根（振幅比）而非强度比。'),\n             dict(rule='s_convention', value=debye(pts, 2 * math.pi * q), plausibility=1,\n                  reason='把 q = 4π sinθ/λ 当作 s = 2 sinθ/λ，在 2πq 处计算。'),\n             dict(rule='q_divided_by_ten', value=debye(pts, q / 10), plausibility=1, reason='q 换算单位时多除以 10。'),\n             # Smaller-intensity misconceptions (also registered for guinier_intensity): without them nearly every mistake\n             # lay above the exact value and the correct option was the smallest in 30/36 probe instances (runs/enum-v26).\n             dict(rule='guinier_missing_one_third', value=math.exp(-(q * radius) ** 2), plausibility=3,\n                  reason='用 Guinier 近似且指数中漏掉 1/3（e^{−q²Rg²}）。'),\n             dict(rule='guinier_half_dmax_as_rg', value=math.exp(-(q * dm / 2) ** 2 / 3), plausibility=2,\n                  reason='用 Guinier 近似并把最大尺寸的一半当作回转半径。'),\n             dict(rule='intensity_squared', value=value * value, plausibility=2,\n                  reason='把算出的强度当成振幅又平方了一次（与“振幅当强度”方向相反的混淆）。'),\n             dict(rule='sphere_radius_equals_rg', value=sphere(q, radius), plausibility=2,\n                  reason='把回转半径直接当作均匀球的半径（应为 √(5/3)·Rg），强度偏大。'),\n             dict(rule='guinier_single_axis_spread', value=math.exp(-(q * axis_spread(pts)) ** 2 / 3), plausibility=2,\n                  reason='用 Guinier 近似，且把单一坐标轴的均方根离散度当作 Rg。')]\n    decimals, tol, sep = 3, '0.0005', '0.020'\n    chosen, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, upper=1, target=spec.get('target_position'),\n                                                      distractor_separation='0.010')\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(value, chosen, decimals=decimals, unit='', seed=seed, context=spec['id'],\n                                       correct_reason='Debye 公式对全部点对取向平均：I/I0 = [N + 2Σ sin(qr)/(qr)]/N²，N = %d；qRg = %.2f。'\n                                       % (n, q * radius))\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit='',\n                               distractor_separation='0.010')\n    question = ('%s What is the orientation-averaged normalized scattering intensity I(q)/I(0) of the selected points at '\n                'q = %.3f nm⁻¹ (q = 4π sinθ/λ)? Compute it exactly from all point pairs; q·Rg is above the Guinier range here.'\n                % (subject(spec, which), q))\n    checks = dict(points=n, q_per_nm=q, rg_nm=radius, q_rg=q * radius, dmax_nm=dm, probe_length_nm=2 * math.pi / q,\n                  limits='等权点散射体（约简表示）；非实测 SAXS，不含溶剂层、形状因子与构象涨落。')\n    return scatter_packet(spec, text, fmt, question, value, decimals, tol, '', options, key, audit, rejected, goal, rank, checks,\n                          whole, dm, digest)\n\n\ndef build_q_design(spec, root, seed):\n    \"\"\"Inverse of build_debye: choose the measurement q at which I(q)/I(0) first falls to a target.\"\"\"\n    text, fmt, pts, which, radius, dm, digest, whole = scatter_setup(spec, root)\n    t = spec['target']\n    step, qmax = 0.1 / radius, 12 / radius          # coarse bracket, then 60 bisections; the checker marches with its own finer step\n    value = first_crossing(lambda q: debye(pts, q), t, step, qmax)\n    if value is None or abs(debye_check(pts, value) - t) > 1e-6:\n        raise ValueError('No verified first crossing')\n    decimals = 3 if value >= 0.1 else 4\n    quantum = Decimal(1).scaleb(-decimals)\n    sep = Decimal(str(0.05 * value)).quantize(quantum)\n    tol = str(quantum / 2)\n    root_of = lambda f: first_crossing(f, t, step, qmax)\n    cands = [dict(rule='guinier_root', value=math.sqrt(3 * math.log(1 / t)) / radius, plausibility=3,\n                  reason='用 Guinier 近似 exp(−q²Rg²/3) = 目标值反解 q（超出 Guinier 范围时不准）。'),\n             dict(rule='uniform_sphere_root', value=root_of(lambda q: sphere(q, radius * math.sqrt(5 / 3))), plausibility=3,\n                  reason='把颗粒当作 Rg 相同的均匀实心球求交点。'),\n             dict(rule='single_orientation_root', value=root_of(lambda q: single_orientation(pts, q)), plausibility=2,\n                  reason='只沿 x 轴一个方向计算强度，没有取向平均。'),\n             dict(rule='target_as_amplitude', value=root_of(lambda q: math.sqrt(max(debye(pts, q), 0))), plausibility=2,\n                  reason='把目标值当作振幅比（强度的平方根）求交点。'),\n             dict(rule='reported_as_s', value=value / (2 * math.pi), plausibility=2,\n                  reason='求对了交点，却以 s = 2 sinθ/λ（= q/2π）报告。'),\n             dict(rule='dmax_sphere_root', value=root_of(lambda q: sphere(q, dm / 2)), plausibility=2,\n                  reason='把颗粒当作直径等于最大尺寸的实心球。'),\n             dict(rule='reported_per_angstrom', value=value / 10, plausibility=1, reason='以 Å⁻¹ 为单位的数值当作 nm⁻¹ 报告。'),\n             # v0.3.0: the same two Guinier slips, solved for q (probe runs/enum-v26: answers sat mostly at B).\n             dict(rule='guinier_missing_one_third_root', value=math.sqrt(math.log(1 / t)) / radius, plausibility=3,\n                  reason='用 Guinier 近似求 q，且指数中漏掉 1/3。'),\n             dict(rule='guinier_half_dmax_root', value=math.sqrt(3 * math.log(1 / t)) / (dm / 2), plausibility=2,\n                  reason='用 Guinier 近似求 q，并把最大尺寸的一半当作回转半径。'),\n             dict(rule='sphere_radius_equals_rg_root', value=root_of(lambda q: sphere(q, radius)), plausibility=2,\n                  reason='把回转半径直接当作均匀球的半径求交点（球偏小，q 偏大）。'),\n             dict(rule='guinier_single_axis_root', value=math.sqrt(3 * math.log(1 / t)) / axis_spread(pts), plausibility=2,\n                  reason='用 Guinier 反解，且把单一坐标轴的均方根离散度当作 Rg。')]\n    chosen, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=str(sep), seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(sep / 2))\n    options, audit = kit.label_numeric(value, chosen, decimals=decimals, unit='nm^-1', seed=seed, context=spec['id'],\n                                       correct_reason='Debye 公式（全部点对、取向平均）从 q = 0 起步进并二分，得首次降到 %.2f 的 q。' % t)\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=str(sep), unit='nm^-1',\n                               distractor_separation=str(sep / 2))\n    question = ('%s A small-angle scattering measurement is to be set at the q where the orientation-averaged normalized intensity '\n                'I(q)/I(0) of the selected points first falls to %.2f. Starting from q = 0, at which q (in nm⁻¹, q = 4π sinθ/λ) '\n                'does I(q)/I(0) first reach %.2f? Compute the intensity exactly from all point pairs.' % (subject(spec, which), t, t))\n    checks = dict(points=len(pts), target=t, q_star=value, q_rg=value * radius, rg_nm=radius, dmax_nm=dm,\n                  design_note='设计 = 推断的逆问题：选择测量条件 q 使可观测量达到目标。',\n                  limits='等权点散射体（约简表示）；非实测 SAXS。')\n    return scatter_packet(spec, text, fmt, question, value, decimals, tol, 'nm^-1', options, key, audit, rejected, goal, rank,\n                          checks, whole, dm, digest)\n",
  "task_families/cell.py": "\"\"\"Crystal cells of any crystal system for the periodic families (coordination shell, first peak, extinction).\n\nThe cubic path in crystal.py / extinction.py is kept unchanged so that existing instances stay byte-identical.\nSpecs with source_kind 'cif_general' use this module instead:\n  read_cif    CIF reader that applies every symmetry operation of the file (no eval; fractions parsed by hand)\n  GeneralCell lattice matrix (a along x, b in the xy plane), Cartesian coordinates, d-spacings from reciprocal vectors\n  CubicCell   the old arithmetic (a * x and a / sqrt(h^2 + k^2 + l^2)) behind the same interface\nThe student table states all six cell parameters in its first line.\n\"\"\"\nimport math\nimport re\nfrom fractions import Fraction\n\nPOSITION_TOL = 1e-4          # fractional: symmetry images closer than this are one atom\nSNAP_TOL = 1e-4              # fractional: 0.3333 / 0.6667 / 0.1667 written by CIF authors -> exact multiples of 1/12\n# CIF tokens: a quote closes only when followed by whitespace, so O'Neill inside '...' stays one token.\nQUOTES = ('\\'', '\"')\nTOKEN = re.compile(r\"'(?:[^']|'(?=\\S))*'(?=\\s|$)|\\\"(?:[^\\\"]|\\\"(?=\\S))*\\\"(?=\\s|$)|\\S+\")\n\n\ndef _number(token):\n    \"\"\"CIF number with an optional standard uncertainty, e.g. 3.2494(2).\"\"\"\n    return float(re.sub(r'\\(\\d+\\)$', '', token))\n\n\ndef _loops(text):\n    \"\"\"Every loop_ of the file as (tags, rows); quoted values are kept whole.\"\"\"\n    lines = [l for l in text.splitlines() if not l.lstrip().startswith('#')]\n    out, i = [], 0\n    while i < len(lines):\n        if lines[i].strip() != 'loop_':\n            i += 1\n            continue\n        i += 1\n        tags = []\n        while i < len(lines) and lines[i].strip().startswith('_'):\n            tags.append(lines[i].strip())\n            i += 1\n        tokens = []\n        while i < len(lines) and lines[i].strip() and not lines[i].strip().startswith(('_', 'loop_', 'data_')):\n            tokens += [t[1:-1] if t[0] in QUOTES and len(t) > 1 else t for t in TOKEN.findall(lines[i])]\n            i += 1\n        if tags and len(tokens) % len(tags) == 0:\n            out.append((tags, [tokens[j:j + len(tags)] for j in range(0, len(tokens), len(tags))]))\n    return out\n\n\ndef _operation(text):\n    \"\"\"'-x+y, 1/2+z, ...' -> three (coefficients, translation) with exact fractions.\"\"\"\n    parts = [p.strip().replace(' ', '') for p in text.split(',')]\n    if len(parts) != 3:\n        raise ValueError('Symmetry operation must have three components: %r' % text)\n    out = []\n    for part in parts:\n        coeff, shift = [Fraction(0)] * 3, Fraction(0)\n        for sign, term in re.findall(r'([+-]?)([^+-]+)', part):\n            s = -1 if sign == '-' else 1\n            var = term[-1].lower() if term[-1].lower() in 'xyz' else None\n            if var:\n                factor = term[:-1].rstrip('*')\n                coeff['xyz'.index(var)] += s * (Fraction(factor) if factor else 1)\n            else:\n                shift += s * Fraction(term)\n        out.append((coeff, shift))\n    return out\n\n\n# Elements seen in the registered CIFs. A symbol outside this set is refused rather than guessed: a CIF\n# written \"FE\" would otherwise be read as fluorine by the leading-letters rule, silently changing the answer.\nCIF_ELEMENTS = {'H', 'B', 'C', 'N', 'O', 'F', 'Na', 'Mg', 'Al', 'Si', 'P', 'S', 'Cl', 'K', 'Ca', 'Ti',\n                'Mn', 'Fe', 'Ni', 'Cu', 'Zn', 'Ga', 'Ge', 'As', 'Se', 'Br', 'Rb', 'Sr', 'Zr', 'Cd',\n                'In', 'Sn', 'Sb', 'Te', 'I', 'Cs', 'Ba', 'Au', 'Hg', 'Pb', 'Bi'}\n\n\ndef _element(symbol, label):\n    m = re.match(r'([A-Za-z]{1,2})', symbol or label)\n    if not m:\n        raise ValueError('No element in %r / %r' % (symbol, label))\n    token = m.group(1)\n    name = token.capitalize()\n    if name not in CIF_ELEMENTS:\n        name = token[0].upper()                      # \"O1\"/\"C2a\": a one-letter symbol followed by a label suffix\n    if name not in CIF_ELEMENTS:\n        raise ValueError('Unknown element %r in %r / %r' % (token, symbol, label))\n    return name\n\n\ndef snap(x):\n    \"\"\"Special positions are often written truncated (0.3333 for 1/3), which breaks the symmetry of |F| at the\n    1e-3 level (e.g. ZnO (1 0 0) versus (1 -1 0)). Values within SNAP_TOL of a multiple of 1/12 are made exact.\"\"\"\n    k = round(x * 12)\n    return k / 12 if abs(x - k / 12) < SNAP_TOL else x\n\n\ndef read_cif(path):\n    \"\"\"Cell parameters and every atom of the conventional cell (symmetry applied, duplicates merged).\"\"\"\n    text = path.read_text(encoding='utf-8')\n    params = {}\n    for key in ('a', 'b', 'c'):\n        params[key] = _number(re.search(r'^_cell_length_%s\\s+(\\S+)' % key, text, re.M).group(1))\n    for key in ('alpha', 'beta', 'gamma'):\n        params[key] = _number(re.search(r'^_cell_angle_%s\\s+(\\S+)' % key, text, re.M).group(1))\n    ops, sites = None, None\n    for tags, rows in _loops(text):\n        op_tag = next((t for t in tags if t in ('_symmetry_equiv_pos_as_xyz', '_space_group_symop_operation_xyz')), None)\n        if op_tag:\n            ops = [_operation(r[tags.index(op_tag)]) for r in rows]\n        if '_atom_site_fract_x' in tags:\n            sites = []\n            for r in rows:\n                get = lambda t: r[tags.index(t)] if t in tags else None\n                occupancy = get('_atom_site_occupancy')\n                if occupancy not in (None, '.', '?') and abs(_number(occupancy) - 1) > 1e-6:\n                    raise ValueError('Partial occupancy is not supported: %s' % get('_atom_site_label'))\n                sites.append((_element(get('_atom_site_type_symbol'), get('_atom_site_label')),\n                              [snap(_number(get('_atom_site_fract_%s' % k))) for k in 'xyz']))\n    if not ops or not sites:\n        raise ValueError('CIF lacks symmetry operations or atom sites')\n    atoms = []\n    for element, f in sites:\n        for op in ops:\n            g = [(float(sum(c * x for c, x in zip(coeff, f))) + float(shift)) % 1.0 for coeff, shift in op]\n            g = [0.0 if x > 1 - POSITION_TOL / 10 else x for x in g]\n            if not any(e == element and all(min(abs(x - y), 1 - abs(x - y)) < POSITION_TOL for x, y in zip(g, h)) for e, h in atoms):\n                atoms.append((element, g))\n    atoms.sort(key=lambda a: (a[0], a[1]))\n    return params, atoms\n\n\nclass GeneralCell:\n    kind = 'general'\n    images = range(-2, 3)                    # periodic images searched for neighbour shells\n\n    def __init__(self, a, b, c, alpha, beta, gamma):\n        self.params = dict(a=a, b=b, c=c, alpha=alpha, beta=beta, gamma=gamma)\n        ca, cb, cg = (math.cos(math.radians(x)) for x in (alpha, beta, gamma))\n        sg = math.sin(math.radians(gamma))\n        cy = (ca - cb * cg) / sg\n        self.vectors = [(a, 0.0, 0.0), (b * cg, b * sg, 0.0), (c * cb, c * cy, c * math.sqrt(1 - cb * cb - cy * cy))]\n        A, B, C = self.vectors\n        volume = _dot(A, _cross(B, C))\n        self.reciprocal = [tuple(x / volume for x in _cross(B, C)), tuple(x / volume for x in _cross(C, A)),\n                           tuple(x / volume for x in _cross(A, B))]\n        self.longest = max(a, b, c)\n\n    def cart(self, f):\n        return [sum(f[i] * self.vectors[i][k] for i in range(3)) for k in range(3)]\n\n    def d(self, hkl):\n        g = [sum(hkl[i] * self.reciprocal[i][k] for i in range(3)) for k in range(3)]\n        return 1 / math.sqrt(_dot(g, g))\n\n    def header(self, name, n):\n        p = self.params\n        return ('%s; cell a = %.5f b = %.5f c = %.5f angstrom, alpha = %.3f beta = %.3f gamma = %.3f degree; '\n                '%d atoms; element x y z (fractional)') % (name, p['a'], p['b'], p['c'], p['alpha'], p['beta'], p['gamma'], n)\n\n    def describe(self):\n        return 'one conventional cell (cell parameters in the first line of the table)'\n\n\nclass CubicCell:\n    kind = 'cubic'\n    images = (-1, 0, 1)\n\n    def __init__(self, a):\n        self.a = a\n        self.longest = a\n\n    def cart(self, f):\n        return [self.a * x for x in f]\n\n    def d(self, hkl):\n        return self.a / math.sqrt(sum(x * x for x in hkl))\n\n    def describe(self):\n        return 'one conventional cubic cell'\n\n\ndef is_cubic(params):\n    \"\"\"Metrically cubic cell: such CIFs use the cubic path (cubic table header and the centring-rule misconceptions).\"\"\"\n    return (abs(params['a'] - params['b']) < 1e-6 and abs(params['a'] - params['c']) < 1e-6\n            and all(abs(params[k] - 90) < 1e-6 for k in ('alpha', 'beta', 'gamma')))\n\n\ndef general_table(cell, rows, name):\n    lines = [cell.header(name, len(rows))] + ['%s %.8f %.8f %.8f' % (e, *f) for e, f in rows]\n    return '\\n'.join(lines) + '\\n'\n\n\ndef _dot(u, v):\n    return sum(x * y for x, y in zip(u, v))\n\n\ndef _cross(u, v):\n    return (u[1] * v[2] - u[2] * v[1], u[2] * v[0] - u[0] * v[2], u[0] * v[1] - u[1] * v[0])\n",
  "task_families/chem_names.py": "\"\"\"Chemical names for atoms and bonds of a small molecule, from its connectivity and total charge.\n\nAdvisor requirement: a chemistry question names chemical entities (functional group, bond type), not arbitrary row\npairs. Steps:\n1. Bond orders. Each atom has allowed valences (C 4; N 3, or 4 as N+; O 2, or 1 as O-; S 2/4/6; Si 4; halogens 1;\n   H 1). Every assignment of single/double/triple orders that gives every atom an allowed valence and the molecule its\n   stated total charge is enumerated, component by component of the unsaturated subgraph (backtracking). A bond whose\n   order differs between assignments is 'aromatic' when both atoms are in a six-membered ring, else 'delocalized'\n   (e.g. carboxylate C-O). Among assignments with the stated charge, those with the fewest formally charged atoms are\n   kept. Connectivity alone cannot tell a dication from its neutral quinoid form (methyl viologen),\n   hence the stated charge (templates/structures.json, from the source's chemical name).\n2. Atom roles from bond orders, neighbours and hydrogen count (methyl carbon, thiourea carbon, sulfonyl oxygen,\n   ammonium nitrogen, ...). An atom no rule recognises gets None, and enumerators skip questions that need it.\nUses the same covalent-radius graph as the families (kit.bond_graph).\n\"\"\"\nimport itertools\nfrom . import kit\n\nVALENCE = {'C': (4,), 'N': (3, 4), 'O': (2, 1), 'S': (2, 4, 6), 'Si': (4,), 'F': (1,), 'Cl': (1,), 'Br': (1,), 'I': (1,),\n           'H': (1,), 'P': (3, 5)}\nORDER_WORD = {1: 'single', 2: 'double', 3: 'triple', 'aromatic': 'aromatic', 'delocalized': 'delocalized'}\nSYMBOL = {1: '–', 2: '=', 3: '≡', 'aromatic': '–', 'delocalized': '–'}\nMAX_SOLUTIONS = 20000\n\n\ndef atom_charge(element, total):\n    return 1 if element == 'N' and total == 4 else -1 if element == 'O' and total == 1 else 0\n\n\ndef rings(elements, edges):\n    \"\"\"Smallest ring size through each heavy atom (None if acyclic): for each neighbour j of i, the shortest path from j\n    back to i that avoids the bond i-j, plus one.\"\"\"\n    heavy = [i for i, e in enumerate(elements) if e != 'H']\n    nb = {i: [j for j in kit.neighbors(edges, i) if elements[j] != 'H'] for i in heavy}\n    size = {}\n    for i in heavy:\n        best = None\n        for j in nb[i]:\n            dist, frontier = {j: 0}, [j]\n            while frontier and i not in dist:\n                nxt = []\n                for x in frontier:\n                    for y in nb[x]:\n                        if (x, y) in ((i, j), (j, i)) or y in dist:\n                            continue\n                        dist[y] = dist[x] + 1\n                        nxt.append(y)\n                frontier = nxt\n            if i in dist:\n                best = dist[i] + 1 if best is None else min(best, dist[i] + 1)\n        size[i] = best\n    return size\n\n\ndef bond_orders(elements, edges, charge):\n    \"\"\"{(a, b): set of possible orders} for every bond, consistent with valences and the total charge.\"\"\"\n    n = len(elements)\n    degree = [len(kit.neighbors(edges, i)) for i in range(n)]\n    spare = [max(VALENCE[e]) - degree[i] for i, e in enumerate(elements)]\n    if any(s < 0 for s in spare):\n        raise ValueError('Atom exceeds its maximum valence')\n    open_bonds = sorted((a, b) for a, b in edges if spare[a] > 0 and spare[b] > 0)\n    # Atoms outside the unsaturated subgraph keep total = degree.\n    fixed_charge = 0\n    in_open = {x for bond in open_bonds for x in bond}\n    for i, e in enumerate(elements):\n        if i not in in_open:\n            if degree[i] not in VALENCE[e]:\n                raise ValueError('No allowed valence for atom %d' % (i + 1))\n            fixed_charge += atom_charge(e, degree[i])\n    # Connected components of the unsaturated subgraph, solved independently.\n    parent = {x: x for x in in_open}\n\n    def find(x):\n        while parent[x] != x:\n            parent[x] = parent[parent[x]]\n            x = parent[x]\n        return x\n    for a, b in open_bonds:\n        parent[find(a)] = find(b)\n    groups = {}\n    for bond in open_bonds:\n        groups.setdefault(find(bond[0]), []).append(bond)\n    per_component = []\n    for bonds in groups.values():\n        atoms = sorted({x for bond in bonds for x in bond})\n        incident = {x: [k for k, bond in enumerate(bonds) if x in bond] for x in atoms}\n        last = {x: max(incident[x]) for x in atoms}\n        extra = {x: 0 for x in atoms}\n        found = {}\n        orders = [0] * len(bonds)\n\n        def search(k):\n            if len(found) > MAX_SOLUTIONS:\n                raise ValueError('Too many bond-order assignments')\n            if k == len(bonds):\n                charges = [atom_charge(elements[x], degree[x] + extra[x]) for x in atoms]\n                found.setdefault((sum(charges), sum(map(abs, charges))), []).append(tuple(orders))\n                return\n            a, b = bonds[k]\n            for o in (0, 1, 2):\n                if extra[a] + o > spare[a] or extra[b] + o > spare[b]:\n                    break\n                extra[a] += o\n                extra[b] += o\n                orders[k] = o\n                done = [x for x in (a, b) if last[x] == k]\n                if all(degree[x] + extra[x] in VALENCE[elements[x]] for x in done):\n                    search(k + 1)\n                extra[a] -= o\n                extra[b] -= o\n        search(0)\n        if not found:\n            raise ValueError('No valence-consistent bond orders')\n        per_component.append((bonds, found))\n    # Keys are (net charge, number of charged atoms). Among assignments with the stated total charge keep those with\n    # the fewest formally charged atoms (no zwitterionic resonance forms such as S=N+ / S-O- for a sulfonamide).\n    combos = [c for c in itertools.product(*[sorted(f) for _, f in per_component])\n              if fixed_charge + sum(q for q, _ in c) == charge]\n    if not combos:\n        raise ValueError('No bond-order assignment matches the stated charge %+d' % charge)\n    fewest = min(sum(n for _, n in c) for c in combos)\n    combos = [c for c in combos if sum(n for _, n in c) == fewest]\n    result = {tuple(sorted(e)): {1} for e in edges}\n    for k, (bonds, found) in enumerate(per_component):\n        allowed = {c[k] for c in combos}\n        for j, bond in enumerate(bonds):\n            result[bond] = {1 + s[j] for q in allowed for s in found[q]}\n    return result\n\n\nclass Molecule:\n    def __init__(self, elements, points, charge=0):\n        self.elements, self.points = elements, points\n        self.edges = kit.bond_graph(elements, points)\n        self.ring = rings(elements, self.edges)\n        self.order = {}\n        for (a, b), values in bond_orders(elements, self.edges, charge).items():\n            if len(values) == 1:\n                self.order[(a, b)] = next(iter(values))\n            else:\n                self.order[(a, b)] = 'aromatic' if self.ring.get(a) == 6 and self.ring.get(b) == 6 else 'delocalized'\n        self.names = {i: self._role(i) for i in range(len(elements))}\n\n    def bond_order(self, a, b):\n        return self.order[(min(a, b), max(a, b))]\n\n    def nb(self, i, element=None):\n        return [j for j in kit.neighbors(self.edges, i) if element is None or self.elements[j] == element]\n\n    def heavy(self, i):\n        return [j for j in self.nb(i) if self.elements[j] != 'H']\n\n    def hcount(self, i):\n        return len(self.nb(i, 'H'))\n\n    def double_to(self, i, element):\n        return [j for j in self.nb(i, element) if self.bond_order(i, j) == 2]\n\n    def unsaturated(self, i):\n        return any(self.bond_order(i, j) != 1 for j in self.heavy(i))\n\n    def carboxylate(self, c):\n        terminal = [j for j in self.nb(c, 'O') if len(self.nb(j)) == 1]\n        return self.elements[c] == 'C' and len(terminal) == 2\n\n    def _role(self, i):\n        e, h, heavy = self.elements[i], self.hcount(i), self.heavy(i)\n        orders = {self.bond_order(i, j) for j in heavy}\n        where = ' in the %d-membered ring' % self.ring[i] if self.ring.get(i) else ''\n        if e == 'H':\n            return None\n        if e == 'C':\n            if self.double_to(i, 'S'):\n                ns = len(self.nb(i, 'N'))\n                return 'thiourea carbon (C=S)' if ns == 2 else 'thioamide carbon (C=S)' if ns == 1 else 'thiocarbonyl carbon'\n            if self.carboxylate(i):\n                return 'carboxylate carbon (COO⁻)'\n            if self.double_to(i, 'O'):\n                return 'carbonyl carbon (C=O)'\n            if self.double_to(i, 'N'):\n                return 'imine carbon (C=N)' + where\n            if 'aromatic' in orders:\n                return 'aromatic carbon' + where\n            if 'delocalized' in orders:\n                return None\n            if 3 in orders:\n                return 'sp carbon (triple bond)'\n            if 2 in orders:\n                return 'alkene carbon (C=C)' + where\n            return {3: 'methyl carbon (CH3)', 2: 'methylene carbon (CH2)', 1: 'methine carbon (CH)', 0: 'quaternary carbon'}[h] + where\n        if e == 'N':\n            if len(self.nb(i)) == 4:\n                return {3: 'ammonium nitrogen (NH3+)', 0: 'quaternary ammonium nitrogen (N+)'}.get(h, 'ammonium nitrogen (N+)')\n            if 'aromatic' in orders and h == 0:\n                return 'pyridinium nitrogen (N+)' + where\n            if 2 in orders:\n                return 'imine nitrogen (C=N)' + where\n            if any(self.elements[j] == 'S' and len(self.double_to(j, 'O')) == 2 for j in heavy):\n                return 'sulfonamide nitrogen (N%s)' % {2: 'H2', 1: 'H', 0: ''}[h]\n            if any(self.elements[j] == 'C' and self.double_to(j, 'O') for j in heavy):\n                return {2: 'amide NH2 nitrogen', 1: 'amide N–H nitrogen', 0: 'amide nitrogen'}[h] + where\n            if any(self.elements[j] == 'C' and self.double_to(j, 'S') for j in heavy):\n                return {2: 'thioamide NH2 nitrogen', 1: 'thioamide N–H nitrogen', 0: 'thioamide nitrogen'}[h] + where\n            if any(self.unsaturated(j) for j in heavy):\n                return {2: 'NH2 nitrogen bonded to an sp2 carbon', 1: 'N–H nitrogen bonded to an sp2 carbon',\n                        0: 'nitrogen bonded to an sp2 carbon'}[h] + where\n            return {2: 'primary amino nitrogen (NH2)', 1: 'secondary amine nitrogen (NH)', 0: 'tertiary amine nitrogen'}[h] + where\n        if e == 'O':\n            if len(heavy) == 1 and h == 0 and self.carboxylate(heavy[0]):\n                return 'carboxylate oxygen (COO⁻)'\n            if len(heavy) == 1 and self.bond_order(i, heavy[0]) == 2:\n                return 'sulfonyl oxygen (S=O)' if self.elements[heavy[0]] == 'S' else 'carbonyl oxygen (C=O)'\n            if len(heavy) == 1 and h == 1:\n                return 'sulfonic acid hydroxyl oxygen (S–OH)' if self.elements[heavy[0]] == 'S' else 'hydroxyl oxygen (OH)'\n            if len(heavy) == 1 and h == 0 and self.elements[heavy[0]] == 'S':\n                return 'sulfonate oxygen (S–O⁻)'\n            if len(heavy) == 2 and h == 0:\n                return 'ether oxygen (C–O–C)' + where\n            return None\n        if e == 'S':\n            if self.double_to(i, 'C'):\n                return 'thiocarbonyl sulfur (C=S)'\n            terminal_o = [j for j in self.nb(i, 'O') if len(self.nb(j)) == 1]\n            if len(heavy) == 4 and len(terminal_o) >= 2:\n                if len(terminal_o) == 3:\n                    return 'sulfonate sulfur (SO3⁻)'\n                rest = sorted(self.elements[j] for j in heavy if j not in terminal_o)\n                if 'N' in rest:\n                    return 'sulfonamide sulfur (SO2)'\n                if 'O' in rest:\n                    return 'sulfonic acid sulfur (SO3H)'\n                return 'sulfone sulfur (SO2)' + where\n            if len(heavy) == 2 and orders == {1}:\n                return 'ring sulfur' + where if self.ring.get(i) else 'thioether sulfur (C–S–C)'\n            return None\n        if e == 'Si':\n            return 'silicon of the trimethylsilyl group' if sum(self.hcount(j) == 3 for j in heavy) == 3 else None\n        return None\n\n    def atom(self, i):\n        \"\"\"'C5, the thiourea carbon (C=S)' or None.\"\"\"\n        return None if self.names[i] is None else '%s%d, the %s' % (self.elements[i], i + 1, self.names[i])\n\n    def bond_word(self, a, b):\n        o = self.bond_order(a, b)\n        return '%s %s%s%s bond' % (ORDER_WORD[o], self.elements[a], SYMBOL[o], self.elements[b])\n\n    def bond(self, a, b):\n        \"\"\"'the double C=S bond between C5, the thiourea carbon (C=S), and S6, the thiocarbonyl sulfur (C=S)' or None.\"\"\"\n        if self.names[a] is None or self.names[b] is None:\n            return None\n        return 'the %s between %s, and %s' % (self.bond_word(a, b), self.atom(a), self.atom(b))\n\n    def angle(self, a, v, b):\n        \"\"\"Description of the angle a-v-b at vertex v, or None.\"\"\"\n        if None in (self.names[a], self.names[v], self.names[b]):\n            return None\n        return 'the angle at %s, between its %s to %s, and its %s to %s' % (\n            self.atom(v), self.bond_word(v, a), self.atom(a), self.bond_word(v, b), self.atom(b))\n\n    def hydrogen(self, h):\n        \"\"\"'H10 is bonded to C1, the methyl carbon (CH3)' or None.\"\"\"\n        [parent] = self.nb(h)\n        if self.names[parent] is None:\n            return None\n        return 'H%d is bonded to %s' % (h + 1, self.atom(parent))\n",
  "task_families/cholesteric.py": "\"\"\"Cholesteric (chiral nematic) liquid-crystal films (chemistry, 100-1000 nm): paper-parameter models.\n\nInputs are the director fields built by tools/build_cholesteric_assets.py from Shaban et al. (Materials 2024; R5011/S5011 in E44,\nHTP 107.5 /um, measured reflection 585 / 593 nm and bandwidth 85.6 nm) and Dinc et al. (Org. Chem. Front. 2024; reflection 670 /\n603 nm, average index 1.6). Questions concern the helical pitch (274-423 nm) and handedness, the Bragg reflection band, the\nhelical twisting power, and the choice of dopant concentration or film for a target colour (design).\n\"\"\"\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nHTP = 107.5\nNE, NO = 1.7904, 1.5484\nHAND_RULE = ('A helix is right-handed if, with the right thumb pointing along the direction of travel along the helix axis, the director '\n             'turns in the sense of the curled fingers; otherwise it is left-handed.')\n\n\ndef conditions(paper, film=None):\n    if paper == 'shaban':\n        return ('Model conditions: the only measured inputs are those reported by Shaban et al. (Materials 2024) for the nematic host E44 '\n                'doped with the chiral dopant R5011 or S5011: the helical twisting power (107.5 μm⁻¹), the dopant concentration and the host '\n                'refractive indices (ne = 1.7904, no = 1.5484 at 589 nm, 20 °C); the director twists uniformly about a straight helix axis '\n                '(ideal planar Grandjean texture) with no defects, surface-anchoring distortion or temperature gradient, which is the '\n                'idealization behind the paper\\'s relations p = 1/(HTP·c) and λc = p·(ne + no)/2. Each file samples the director every 5 nm '\n                'over 1.5 μm along an arbitrarily oriented axis.')\n    return ('Model conditions: the only measured input is the reflection wavelength reported by Dinc et al. (Org. Chem. Front. 2024) for '\n            'this cholesteric polymer coating, converted to a pitch with the paper\\'s average refractive index of 1.6; the director twists '\n            'uniformly about a straight helix axis with no defects, which is the idealization behind the paper\\'s relation λ = n·p. Each '\n            'file samples the director every 5 nm over 1.5 μm along an arbitrarily oriented axis.')\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    lines = text.splitlines()\n    rows = [l.split() for l in lines[2:] if l.strip()]\n    if int(lines[0]) != len(rows) or any(len(r) != 7 or r[0] != 'site' for r in rows):\n        raise ValueError('Expected count, comment and \"site x y z nx ny nz\" rows')\n    return text, [tuple(float(v) for v in r[1:4]) for r in rows], [tuple(float(v) for v in r[4:]) for r in rows], kit.sha256(raw)\n\n\ndef helix(pos, dirs, pitch_expected, hand_expected):\n    \"\"\"Pitch from the mean twist angle per step; handedness from (n_i x n_i+1) . step.\"\"\"\n    turns, hands = [], set()\n    for (p, q), (m, n) in zip(zip(pos, pos[1:]), zip(dirs, dirs[1:])):\n        step = [b - a for a, b in zip(p, q)]\n        c = [m[1] * n[2] - m[2] * n[1], m[2] * n[0] - m[0] * n[2], m[0] * n[1] - m[1] * n[0]]\n        turns.append(math.atan2(math.sqrt(sum(x * x for x in c)), sum(a * b for a, b in zip(m, n))))\n        hands.add(1 if sum(a * b for a, b in zip(c, step)) > 0 else -1)\n    if len(hands) != 1:\n        raise ValueError('Twist sense changes along the axis')\n    ds = math.dist(pos[0], pos[1])\n    pitch = 2 * math.pi * ds / (math.fsum(turns) / len(turns))\n    if abs(pitch - pitch_expected) > 1e-3 or hands.pop() != hand_expected:\n        raise ValueError('Helix does not match the published parameters')\n    return pitch\n\n\nSUBJECT = ('The file lists the director (unit vector of average molecular orientation, n equivalent to −n) at sites along the helix axis '\n           'of a model cholesteric liquid-crystal film; columns are site x y z (nm) nx ny nz.')\nINDEX_TEXT = {'shaban': 'Use the average refractive index (ne + no)/2 of the host and its birefringence ne − no.',\n              'dinc': 'Use the average refractive index 1.6.'}\n\n\ndef numeric(spec, root, seed, ability):\n    text, pos, dirs, digest = load(root, spec['asset'])\n    p = helix(pos, dirs, spec['pitch_nm'], spec['hand'])\n    ask = spec['ask']\n    n_avg = (NE + NO) / 2 if spec['paper'] == 'shaban' else 1.6\n    if ask == 'pitch':\n        want, decimals, tol, sep, unit = 'perception', 2, '0.005', '10.00', 'nm'     # 2 decimals: 670/1.6 = 418.75 sits on a 1-decimal rounding boundary\n        value = p\n        cands = [dict(rule='half_pitch', value=p / 2, plausibility=3, reason='报告了 p/2（n 与 −n 等价时的光学周期），而螺距是指向矢转 360° 的距离。'),\n                 dict(rule='double_pitch', value=2 * p, plausibility=2, reason='报告了两个螺距。'),\n                 dict(rule='quarter_pitch', value=p / 4, plausibility=1, reason='报告了转 90° 的距离。'),\n                 dict(rule='reflection_wavelength', value=p * n_avg, plausibility=2, reason='报告了反射波长 n·p 而非螺距。'),\n                 dict(rule='three_quarter_pitch', value=0.75 * p, plausibility=1, reason='报告了转 270° 的距离。')]\n        q = 'What is the helical pitch p (the distance along the helix axis over which the director rotates by 360°), in nm?'\n    elif ask in ('lambda', 'bandwidth'):\n        want, decimals, tol, sep, unit = 'inference', 1, '0.05', '8.0', 'nm'\n        if ask == 'lambda':\n            value = n_avg * p\n            cands = [dict(rule='extraordinary_index', value=NE * p if spec['paper'] == 'shaban' else 1.75 * p, plausibility=3, reason='用 ne 代替平均折射率。'),\n                     dict(rule='ordinary_index', value=NO * p if spec['paper'] == 'shaban' else 1.5 * p, plausibility=3, reason='用 no 代替平均折射率。'),\n                     dict(rule='half_pitch', value=n_avg * p / 2, plausibility=2, reason='用 p/2 计算（混淆了螺距与光学周期）。'),\n                     dict(rule='no_index', value=p, plausibility=2, reason='忽略折射率，直接取螺距。'),\n                     dict(rule='double_pitch', value=2 * n_avg * p, plausibility=1, reason='用 2p 计算。')]\n            q = 'At normal incidence, what is the central wavelength λc of the selective (Bragg) reflection band, in nm? ' + INDEX_TEXT[spec['paper']]\n        else:\n            dn = NE - NO\n            value = dn * p\n            cands = [dict(rule='central_wavelength', value=n_avg * p, plausibility=2, reason='报告了反射中心波长。'),\n                     dict(rule='half_pitch', value=dn * p / 2, plausibility=3, reason='用 p/2 计算带宽。'),\n                     dict(rule='relative_birefringence', value=dn / n_avg * p, plausibility=2, reason='用 Δn/⟨n⟩ 代替 Δn。'),\n                     dict(rule='half_birefringence', value=dn / 2 * p, plausibility=2, reason='用 Δn/2。'),\n                     dict(rule='double_pitch', value=2 * dn * p, plausibility=1, reason='用 2p 计算。')]\n            q = 'At normal incidence, what is the width Δλ of the selective (Bragg) reflection band, in nm? ' + INDEX_TEXT[spec['paper']]\n    else:\n        want, decimals, tol, sep, unit = 'inference', 1, '0.05', '5.0', 'um^-1'\n        c = spec['concentration_wt']\n        value = 1000 / (p * c / 100)\n        cands = [dict(rule='percent_not_fraction', value=1000 / (p * c), plausibility=3, reason='浓度直接代入百分数而非质量分数。'),\n                 dict(rule='half_pitch', value=1000 / (p / 2 * c / 100), plausibility=3, reason='用 p/2 代替螺距。'),\n                 dict(rule='reflection_for_pitch', value=1000 / (p * n_avg * c / 100), plausibility=2, reason='用反射波长代替螺距。'),\n                 dict(rule='nm_um_slip', value=1 / (p * c / 100), plausibility=1, reason='螺距单位 nm 与 μm 混用。'),\n                 dict(rule='double_pitch', value=1000 / (2 * p * c / 100), plausibility=2, reason='用 2p 代替螺距。')]\n        q = ('The film contains %.2f wt%% of the chiral dopant. What is the helical twisting power HTP = 1/(p·c) of the dopant in this host '\n             '(c as a weight fraction), in μm⁻¹?' % c)\n    if want != ability:\n        raise ValueError('Quantity %s is not %s' % (ask, ability))\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(float(sep) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit=unit, seed=seed, context=spec['id'],\n                                       correct_reason='由指向矢每步转角得螺距 p = %.3f nm；λc = ⟨n⟩p，Δλ = Δn·p，HTP = 1/(p c)。' % p)\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit,\n                               distractor_separation=str(float(sep) / 2))\n    return pack(spec, text, digest, '%s %s %s' % (SUBJECT, conditions(spec['paper']), q), options, key, audit, rejected,\n                dict(target=goal, achieved=rank), dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol), p)\n\n\ndef pack(spec, text, digest, question, options, key, audit, rejected, rank, numeric_, p):\n    return dict(question=question, scope=spec['scope'],\n                inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format='director-field', unit='nm', text=text)],\n                numeric=numeric_, options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=rank,\n                checks=dict(pitch_nm=p, handedness='right' if spec['hand'] > 0 else 'left', measured_reflection_nm=spec.get('measured_nm'),\n                            limits='理想均匀扭曲的胆甾螺旋（论文关系式所用的同一理想化）；模型值与实测反射相差约 1–2%。'),\n                scales=dict(input_nm=1500.0, reasoning_nm=p, reasoning_definition='螺距 p'), input_hashes={spec['asset']: digest})\n\n\ndef build_geometry(spec, root, seed):\n    if spec['ask'] != 'pitch_handedness':\n        return numeric(spec, root, seed, 'perception')\n    text, pos, dirs, digest = load(root, spec['asset'])\n    p = helix(pos, dirs, spec['pitch_nm'], spec['hand'])\n    hand = 'right-handed' if spec['hand'] > 0 else 'left-handed'\n    other = 'left-handed' if spec['hand'] > 0 else 'right-handed'\n    fmt = lambda h, x: '%s, pitch %s nm' % (h, kit.display(x, 1))\n    right = fmt(hand, p)\n    others = [('opposite_handedness', fmt(other, p), '螺距对，但手性判反（转向与右手定则比较时看错方向）。', 3),\n              ('half_pitch', fmt(hand, p / 2), '手性对，但报告了 p/2（指向矢转 180° 的距离）。', 3),\n              ('both_wrong', fmt(other, p / 2), '手性判反且报告了 p/2。', 2)]\n    order = kit.place(('correct', right, '每步转角给出 p = %.3f nm；(n_i × n_i+1)·前进方向 的符号给出%s。' % (p, '右手' if spec['hand'] > 0 else '左手'), 3),\n                      others, spec.get('target_position'), seed, spec['id'], key=lambda q: q[0])\n    options = [dict(label=l, value=q[1]) for l, q in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [q[0] == 'correct' for q in order])\n    audit = [dict(label=l, value=q[1], rule=q[0], reason=q[2], is_correct=q[0] == 'correct') for l, q in zip(kit.LABELS, order)]\n    question = ('%s %s %s What are the handedness and the helical pitch p (the distance over which the director rotates by 360°) of this '\n                'helix?' % (SUBJECT, conditions(spec['paper']), HAND_RULE))\n    return pack(spec, text, digest, question, options, key, audit, [], None, None, p)\n\n\ndef build_inference(spec, root, seed):\n    return numeric(spec, root, seed, 'inference')\n\n\ndef build_design(spec, root, seed):\n    rows, inputs, hashes = [], [], {}\n    for c in spec['candidates']:\n        text, pos, dirs, digest = load(root, c['asset'])\n        p = helix(pos, dirs, c['pitch_nm'], c['hand'])\n        n_avg = (NE + NO) / 2 if c['paper'] == 'shaban' else 1.6\n        n_e = NE if c['paper'] == 'shaban' else None\n        rows.append(dict(c, p=p, lam=n_avg * p, lam_ne=(n_e * p if n_e else None), lam_half=n_avg * p / 2))\n        inputs.append(dict(name=c['asset'].rsplit('/', 1)[1], format='director-field', unit='nm', text=text))\n        hashes[c['asset']] = digest\n    goal, t = spec['goal'], spec['target_nm']\n    label = lambda r: '%s (%s)' % (r['label'], r['asset'].rsplit('/', 1)[1])\n    why = {}\n    if goal == 'closest':\n        ranked = sorted(rows, key=lambda r: abs(r['lam'] - t))\n        best, runner = ranked[0], ranked[1]\n        if abs(runner['lam'] - t) < 1.5 * abs(best['lam'] - t) or abs(runner['lam'] - t) - abs(best['lam'] - t) < 10:\n            raise ValueError('Winning margin too small')\n        for rule, key_, note in (('extraordinary_index', 'lam_ne', '用 ne 代替平均折射率'), ('half_pitch', 'lam_half', '用 p/2 计算')):\n            vals = [r for r in rows if r[key_] is not None]\n            pick = min(vals, key=lambda r: abs(r[key_] - t))\n            if pick is not best and pick['label'] not in why:\n                why[pick['label']] = (rule, '%s时它的反射（%.1f nm）最接近目标。' % (note, pick[key_]), 3)\n        reason_ok = '反射中心 %.1f nm，最接近目标。' % best['lam']\n        goal_text = 'its normal-incidence reflection band is centred as close as possible to %g nm' % t\n    elif goal == 'left_closest':\n        ok = [r for r in rows if r['hand'] < 0]\n        ranked = sorted(ok, key=lambda r: abs(r['lam'] - t))\n        best = ranked[0]\n        if len(ranked) > 1 and abs(ranked[1]['lam'] - t) - abs(best['lam'] - t) < 10:\n            raise ValueError('Winning margin too small among left-handed films')\n        right_best = min((r for r in rows if r['hand'] > 0), key=lambda r: abs(r['lam'] - t))\n        why[right_best['label']] = ('right_handed_closer', '反射 %.1f nm 也接近目标，但螺旋是右手的。' % right_best['lam'], 3)\n        reason_ok = '左手螺旋，反射 %.1f nm，在左手候选中最接近目标。' % best['lam']\n        goal_text = ('the helix is left-handed and its normal-incidence reflection band is centred as close as possible to %g nm' % t)\n    else:\n        ok = [r for r in rows if r['lam'] <= t]\n        if not ok or min(abs(r['lam'] - t) for r in rows) < 10:\n            raise ValueError('No candidate meets the limit, or one sits too close to it')\n        best = min(ok, key=lambda r: r['conc'])\n        for r in rows:\n            if r is best:\n                continue\n            if r['lam'] > t:\n                why[r['label']] = ('reflects_too_red', '反射 %.1f nm，超过 %g nm；只看螺距 p（%.1f nm）会误判为满足。' % (r['lam'], t, r['p']), 3)\n            else:\n                why[r['label']] = ('meets_but_more_dopant', '反射 %.1f nm 满足，但掺杂剂更多。' % r['lam'], 2)\n        reason_ok = '满足上限的候选中掺杂剂最少（反射 %.1f nm）。' % best['lam']\n        goal_text = ('as little dopant as possible is used while the normal-incidence reflection band is centred at or below %g nm' % t)\n    for r in rows:\n        if r is not best and r['label'] not in why:\n            why[r['label']] = ('farther_from_target' if r['hand'] < 0 or goal != 'left_closest' else 'right_handed',\n                               '反射 %.1f nm%s。' % (r['lam'], '' if r['hand'] < 0 or goal != 'left_closest' else '，且为右手螺旋'), 2)\n    others = [(why[r['label']][0], label(r), why[r['label']][1], why[r['label']][2]) for r in rows if r is not best]\n    order = kit.place(('correct', label(best), reason_ok, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda q: q[0])\n    options = [dict(label=l, value=q[1]) for l, q in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [q[0] == 'correct' for q in order])\n    audit = [dict(label=l, value=q[1], rule=q[0], reason=q[2], is_correct=q[0] == 'correct') for l, q in zip(kit.LABELS, order)]\n    papers = sorted({r['paper'] for r in rows})\n    index_text = ' '.join(['For the E44 films use the average refractive index (ne + no)/2 of E44.' if 'shaban' in papers else '',\n                           'For the polymer coatings use the average refractive index 1.6.' if 'dinc' in papers else '']).strip()\n    question = ('The four files list the director fields of four model cholesteric liquid-crystal films (files named by composition; columns '\n                'site x y z in nm and the unit director nx ny nz, n equivalent to −n). %s %s %s You must choose one film such that %s. Which '\n                'film should you choose?' % (' '.join(conditions(pp) for pp in papers), HAND_RULE if goal == 'left_closest' else '',\n                                            index_text, goal_text))\n    return dict(question=' '.join(question.split()), scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(candidates=[dict(label=r['label'], pitch_nm=r['p'], reflection_nm=r['lam'], hand=r['hand']) for r in rows],\n                            goal=goal, target_nm=t, design_note='设计选择：按目标颜色、手性或掺杂量选择膜（推断的逆问题）。',\n                            limits='理想均匀扭曲的胆甾螺旋；非实测浓度的候选为按论文 HTP 计算的模型。'),\n                scales=dict(input_nm=1500.0, reasoning_nm=max(r['p'] for r in rows), reasoning_definition='候选中最大的螺距'),\n                input_hashes=hashes)\n",
  "task_families/conformer_design.py": "\"\"\"Design-selection family: choose one of four candidate conformers for a stated target.\n\nS0, the allowed modification (single-bond rotation only: same atoms, same bonding,\nsame configuration at stereocentres) and the target property are given. The four\ncandidates are real dataset structures; the property evidence is the dataset's\ncomputed value at a stated level of theory. The checker verifies every candidate\nagainst the constraints and requires a unique best candidate by a stated margin.\nThis is candidate selection, not open structure generation, and the answer holds\nonly for the stated computational criterion, not for experiment.\n\"\"\"\nimport itertools\nimport json\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nCONSTRAINTS = ('same_atoms', 'same_bonding', 'same_configuration', 'distinct_from_S0', 'dipole_consistent')\nOBJECTIVES = {\n    'min_energy': dict(key='e_pbe0_mbd_eV', sense=-1, margin=0.0434, unit='eV',\n                       text='the lowest total PBE0+MBD energy (single-point energies at the supplied geometries)',\n                       margin_basis='1 kcal/mol ≈ 0.0434 eV，高于常见构象能相对误差量级'),\n    'max_dipole': dict(key='dipole_eA', sense=1, margin=0.10, unit='e·Å',\n                       text='the largest total dipole-moment magnitude (PBE0+MBD, at the supplied geometries)',\n                       margin_basis='0.10 e·Å，约为该类小分子偶极的 10%'),\n}\n\n\ndef distance_rmsd(p, q):\n    \"\"\"Rotation/translation/reflection-invariant comparison via interatomic distances.\"\"\"\n    pairs = list(itertools.combinations(range(len(p)), 2))\n    return math.sqrt(math.fsum((math.dist(p[i], p[j]) - math.dist(q[i], q[j])) ** 2 for i, j in pairs) / len(pairs))\n\n\ndef stereocentres(elements, points, edges):\n    centres = {}\n    for i in range(len(points)):\n        nb = kit.neighbors(edges, i)\n        if len(nb) != 4:\n            continue\n        shells = [(elements[j], tuple(sorted(elements[k] for k in kit.neighbors(edges, j) if k != i))) for j in nb]\n        if len(set(shells)) != 4:\n            continue           # not a stereocentre under this first-shell rule\n        v = [kit.sub(points[j], points[i]) for j in nb[:3]]\n        centres[i] = 1 if kit.dot(kit.cross(v[0], v[1]), v[2]) > 0 else -1\n    return centres\n\n\ndef rg(points):\n    c = [math.fsum(p[k] for p in points) / len(points) for k in range(3)]\n    return math.sqrt(math.fsum(math.dist(p, c) ** 2 for p in points) / len(points))\n\n\ndef build(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    data = json.loads(raw)\n    objective = OBJECTIVES[spec['objective']]\n    elements = data['elements']\n    confs = {c['id']: c for c in data['conformers']}\n    s0 = confs[spec['s0']]\n    graph0 = kit.bond_graph(elements, s0['xyz'])\n    chiral0 = stereocentres(elements, s0['xyz'], graph0)\n    checks, pool = {}, []\n    for cid, c in confs.items():\n        if cid == spec['s0']:\n            continue\n        graph = kit.bond_graph(elements, c['xyz'])\n        chiral = stereocentres(elements, c['xyz'], graph)\n        vdip = math.sqrt(sum(x * x for x in c['vdip_eA']))\n        record = dict(same_atoms=len(c['xyz']) == len(elements), same_bonding=graph == graph0,\n                      same_configuration=chiral == chiral0,\n                      distinct_from_S0=distance_rmsd(s0['xyz'], c['xyz']) > 0.05,\n                      dipole_consistent=abs(vdip - c['dipole_eA']) < 1e-4)\n        checks[cid] = record\n        if all(record[k] for k in CONSTRAINTS):\n            pool.append(c)\n    unique = []\n    for c in sorted(pool, key=lambda c: c['id']):\n        if any(distance_rmsd(c['xyz'], u['xyz']) <= 0.05 or\n               (abs(c['e_pbe0_mbd_eV'] - u['e_pbe0_mbd_eV']) < 0.002 and abs(c['dipole_eA'] - u['dipole_eA']) < 0.005)\n               for u in unique):\n            checks[c['id']]['excluded'] = 'equivalent to another candidate (same or mirror conformer)'\n            continue\n        unique.append(c)\n    value = lambda c: objective['sense'] * c[objective['key']]\n    combos = []\n    for combo in itertools.combinations(unique, 4):\n        ranked = sorted(combo, key=value, reverse=True)\n        if value(ranked[0]) - value(ranked[1]) < objective['margin']:\n            continue\n        radii = sorted(combo, key=lambda c: rg(c['xyz']))\n        extreme = ranked[0] in (radii[0], radii[-1])\n        thin = value(ranked[0]) - value(ranked[1]) < 1.5 * objective['margin']   # prefer a clear margin when available\n        combos.append(((extreme, thin, kit.digest(seed, spec['id'], *sorted(c['id'] for c in combo))), combo, ranked))\n    if not combos:\n        raise ValueError('No four-candidate set with a unique best above the margin')\n    _, combo, ranked = min(combos, key=lambda x: x[0])\n    best = ranked[0]\n    permutation = kit.place(best, [c for c in combo if c is not best], spec.get('target_position'), seed, spec['id'],\n                            key=lambda c: c['id'])\n    options = [dict(label=l, value='candidate_%s.xyz' % l) for l in kit.LABELS]   # dataset ids stay reviewer-side\n    verdicts = [c is best and all(checks[c['id']][k] for k in CONSTRAINTS) for c in permutation]\n    key = kit.validate_verdicts([dict(o, source=c['id']) for o, c in zip(options, permutation)], verdicts,\n                               key=lambda o: o['source'])\n    margin = value(ranked[0]) - value(ranked[1])\n    ref = best[objective['key']]\n    audit = []\n    for l, c in zip(kit.LABELS, permutation):\n        diff = c[objective['key']] - ref\n        audit.append(dict(label=l, value='candidate_%s.xyz' % l, source_id=c['id'], is_correct=c is best, property=c[objective['key']],\n                          difference_from_best=round(diff, 6), unit=objective['unit'],\n                          rg_A=round(rg(c['xyz']), 4), change_from_S0_A=round(distance_rmsd(s0['xyz'], c['xyz']), 4),\n                          constraints=checks[c['id']],\n                          reason='满足约束且目标值唯一最优（领先第二名 %.4f %s）。' % (margin, objective['unit']) if c is best else\n                          '满足约束，但目标值比正确项差 %.4f %s（计算证据，非实验）。' % (abs(diff), objective['unit'])))\n    radii = sorted(permutation, key=lambda c: rg(c['xyz']))\n    change = sorted(permutation, key=lambda c: distance_rmsd(s0['xyz'], c['xyz']))\n    shortcuts = dict(most_compact_rg=radii[0] is best, most_extended_rg=radii[-1] is best,\n                     closest_to_S0=change[0] is best, farthest_from_S0=change[-1] is best)\n    inputs = [dict(name='S0.xyz', format='xyz', unit='angstrom',\n                   text=kit.xyz_text(elements, s0['xyz'], 'S0 starting conformer, angstrom'))]\n    for l, c in zip(kit.LABELS, permutation):\n        inputs.append(dict(name='candidate_%s.xyz' % l, format='xyz', unit='angstrom',\n                           text=kit.xyz_text(elements, c['xyz'], 'candidate %s, angstrom' % l)))\n    for item in inputs:\n        kit.parse_xyz(item['text'])\n    formula = ''.join('%s%s' % (e, elements.count(e) if elements.count(e) > 1 else '')\n                      for e in sorted(set(elements), key=lambda e: (e != 'C', e != 'H', e)))\n    question = ('S0 is a conformer of a neutral %s molecule. You may change it only by rotating about single bonds: '\n                'the same atoms in the same order, the same bonds and the same configuration at every stereocentre. '\n                'Goal: obtain %s. All four candidates A–D satisfy the allowed modification. Which candidate best meets the goal?') % (\n        formula, objective['text'])\n    return dict(\n        question=question,\n        scope=spec['scope'],\n        inputs=inputs,\n        numeric=None,\n        options=options, correct_label=key, option_audit=audit,\n        excluded_candidates=[dict(id=k, **v) for k, v in checks.items() if 'excluded' in v or not all(v[x] for x in CONSTRAINTS)],\n        rank=None,\n        checks=dict(objective=spec['objective'], margin=round(margin, 6), required_margin=objective['margin'],\n                    margin_basis=objective['margin_basis'], level=data['level'], s0=spec['s0'],\n                    candidate_pool=len(unique), valid_sets=len(combos), stereocentres=len(chiral0),\n                    shortcut_diagnostics=shortcuts,\n                    selection_rule='在满足约束且唯一最优的四元组中，优先让正确项不是回转半径最小或最大者，其次优先领先幅度 ≥1.5 倍阈值，再按种子选择。',\n                    limits='计算证据仅对所述理论水平与给定几何成立；不是实验构象分布、自由能或开放式分子设计。'),\n        scales=dict(input_nm=kit.dmax(s0['xyz']) / 10, reasoning_nm=kit.dmax(s0['xyz']) / 10,\n                    reasoning_definition='整分子构象比较：S0 最大原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/crystal.py": "\"\"\"Periodic-crystal families migrated from the legacy materials calculators.\n\ncoordination_shell (perception): nearest shell of a named partner species around a named\n    centre in the infinite crystal (periodic images included).\nfirst_diffraction_peak (inference): lowest-angle reflection with non-zero kinematic\n    intensity and its Bragg angle; needs the atomic positions (extinctions), not only a.\nBoth read the same fractional-coordinate table the student receives (see extinction.py).\nCubic cells (source_kind 'cif' / 'xyz') keep the original arithmetic; any other crystal system uses\nsource_kind 'cif_general' and task_families/cell.py (all symmetry operations, lattice matrix, reciprocal vectors).\n\"\"\"\nimport itertools\nimport math\nfrom . import kit\nimport sys\nfrom .cell import CubicCell, GeneralCell, general_table, is_cubic, read_cif\nfrom .extinction import cell_from_xyz, table, parse_table, factor, rule_absent\n\nVERSION = '0.3.0'\nSHELL_TOL = 1e-3       # angstrom: distances closer than this belong to one shell\n\n\ndef load_cell(spec, root):\n    \"\"\"(cell, rows as the student reads them, table text, source hash).\"\"\"\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    if spec['source_kind'] == 'cif_general':\n        params, rows = read_cif(root / 'docs' / spec['asset'])\n        if is_cubic(params):\n            text = table(params['a'], rows, spec['name'])\n            return CubicCell(params['a']), parse_table(text), text, kit.sha256(raw)\n        cell = GeneralCell(**params)\n        text = general_table(cell, rows, spec['name'])\n        return cell, parse_table(text), text, kit.sha256(raw)\n    if spec['source_kind'] == 'cif':\n        sys.path.insert(0, str(root / 'tools'))\n        import recompute_materials_batch2 as legacy      # general cubic reader (e.g. 2-atom CsCl), reused unchanged\n        crystal = legacy.read_cubic_cif(root / 'docs' / spec['asset'])\n        a, rows = crystal['a_A'], [(r['element'], r['fractional']) for r in crystal['rows']]\n    else:\n        a, rows = cell_from_xyz(root, spec['asset'], spec['a'])\n    text = table(a, rows, spec['name'])\n    return CubicCell(a), parse_table(text), text, kit.sha256(raw)\n\n\ndef matches(rule, rows, cell, index):\n    \"\"\"rule: {element} or {element, bonded_to, count, cutoff} (e.g. the mu4-O of a Zn4O node).\"\"\"\n    element, frac = rows[index]\n    if element != rule['element']:\n        return False\n    if 'bonded_to' not in rule:\n        return True\n    near = sum(1 for e, f in rows for t in itertools.product(cell.images, repeat=3)\n               if e == rule['bonded_to'] and 0 < math.dist(cell.cart(frac), cell.cart([x + s for x, s in zip(f, t)])) <= rule['cutoff'])\n    return near == rule['count']\n\n\ndef shells(cell, rows, centre, partners, images=True):\n    c = cell.cart(rows[centre][1])\n    found = []\n    for j in partners:\n        for t in (itertools.product(cell.images, repeat=3) if images else [(0, 0, 0)]):\n            p = cell.cart([x + s for x, s in zip(rows[j][1], t)])\n            d = math.dist(c, p)\n            if d > 1e-6:\n                found.append((d, p))\n    found.sort()\n    groups = []\n    for d, p in found:\n        if groups and d - groups[-1][0] <= SHELL_TOL:\n            groups[-1][1].append(p)\n        else:\n            groups.append((d, [p]))\n    return c, groups\n\n\ndef shell_option(n, d):\n    return '%d at %s Å' % (n, kit.display(d, 3))\n\n\ndef cell_checks(cell):\n    return dict(a_A=cell.a) if cell.kind == 'cubic' else dict(cell=cell.params)\n\n\ndef build_coordination(spec, root, seed):\n    cell, rows, text, digest = load_cell(spec, root)\n    centres = [i for i in range(len(rows)) if matches(spec['centre'], rows, cell, i)]\n    partners = [i for i in range(len(rows)) if matches(spec['partner'], rows, cell, i)]\n    if not centres or not partners:\n        raise ValueError('Centre or partner rule matches nothing')\n    centre = centres[0]\n    c, groups = shells(cell, rows, centre, partners)\n    (d1, first), (d2, second) = groups[0], groups[1]\n    inside = [g for g in shells(cell, rows, centre, partners, images=False)[1] if abs(g[0] - d1) <= SHELL_TOL]\n    n_in = len(inside[0][1]) if inside else 0\n    candidates = [('second_shell', len(second), d2, 2, '报告了第二壳层（更远的一组）而非最近壳层。'),\n                  ('no_periodic_images', n_in, d1, 3, '只数表中这一个晶胞内的原子，漏掉周期映像。'),\n                  ('mixed_shells', len(second), d1, 1, '距离取最近壳层，个数却取第二壳层。'),\n                  ('merged_first_two_shells', len(first) + len(second), d1, 1, '把前两个壳层合并计数。')]\n    if spec['partner']['element'] != spec['centre']['element'] or 'bonded_to' in spec['partner']:\n        same = [i for i in range(len(rows)) if rows[i][0] == rows[centre][0]]\n        g = shells(cell, rows, centre, same)[1]\n        if g:\n            candidates.append(('same_species_shell', len(g[0][1]), g[0][0], 2, '数成与中心同种元素的最近壳层。'))\n    if cell.kind != 'cubic':\n        # Low symmetry splits a coordination polyhedron into several distances; the question asks for the shortest one,\n        # and counting the whole polyhedron (e.g. 6 for distorted TiO6) is the natural misreading.\n        poly = [d for d, pts in groups for _ in pts if d <= 1.2 * d1]\n        beyond = [d for d, _ in groups if d > 1.2 * d1]\n        if len(poly) > len(first) and (not beyond or beyond[0] > 1.3 * d1):\n            candidates.insert(0, ('whole_coordination_polyhedron', len(poly), d1, 3,\n                               '把整个配位多面体（%d 个，含 %.3f–%.3f Å 的较长键）都算作最短距离的一组。' % (len(poly), d1, max(poly))))\n    right = shell_option(len(first), d1)\n    pool, rejected = [], []\n    for rule, n, d, plaus, reason in candidates:\n        text_opt = shell_option(n, d)\n        if n <= 0 or text_opt == right or text_opt in [p[1] for p in pool]:\n            rejected.append(dict(rule=rule, value=text_opt, reason='无效或与其他选项重复'))\n        else:\n            pool.append((rule, text_opt, reason, plaus))\n    if len(pool) < 3:\n        raise ValueError('Fewer than three distinct distractors')\n    pool.sort(key=lambda p: (-p[3], kit.digest(seed, spec['id'], p[0])))\n    chosen = pool[:3]\n    rejected += [dict(rule=p[0], value=p[1], reason='有效但未选（可信度排序）') for p in pool[3:]]\n    order = kit.place(('correct', right, '含周期映像的最近壳层：%d 个，距离 %.4f Å。' % (len(first), d1), 3),\n                      chosen, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    shell_pts = [c] + first\n    fx = rows[centre][1]\n    if cell.kind == 'cubic':\n        question = ('The table lists every atom of %s of %s. Treat the crystal as infinite and periodic. '\n                    'Around the %s at fractional (%.4f, %.4f, %.4f), how many %s form the nearest shell, and at what distance? '\n                    'Distances are rounded to 0.001 Å.') % (cell.describe(), spec['name'], spec['centre_text'], fx[0], fx[1], fx[2], spec['partner_text'])\n    else:\n        question = ('The table lists every atom of %s of %s. Treat the crystal as infinite and periodic. '\n                    'Around the %s at fractional (%.4f, %.4f, %.4f), how many %s lie at the shortest %s–%s distance '\n                    '(atoms within 0.001 Å of it count as the same distance), and what is that distance? '\n                    'Distances are rounded to 0.001 Å.') % (cell.describe(), spec['name'], spec['centre_text'], fx[0], fx[1], fx[2],\n                                                           spec['partner_text'], rows[centre][0], spec['partner']['element'])\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['id'] + '-cell.txt', format='fractional-cell-table', unit='fractional; a in angstrom', text=text)],\n        numeric=None, options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=None,\n        checks=dict(centre_row=centre + 1, shells=[dict(distance_A=round(d, 6), count=len(p)) for d, p in groups[:3]],\n                    in_cell_count=n_in, shell_tolerance_A=SHELL_TOL, **cell_checks(cell),\n                    limits='理想晶胞坐标；壳层按 0.001 Å 容差归组；不涉及热振动或无序。'),\n        scales=dict(input_nm=cell.longest / 10, reasoning_nm=kit.dmax(shell_pts) / 10,\n                    reasoning_definition='中心原子与最近壳层全部原子的最大间距'),\n        input_hashes={spec['asset']: digest})\n\n\ndef two_theta(d, wavelength):\n    s = wavelength / (2 * d)\n    return math.degrees(2 * math.asin(s)) if s <= 1 else None\n\n\ndef reflections(cell):\n    \"\"\"Candidate reflections. Cubic: the original h >= k >= l >= 0 set. Other systems: every (h k l) with\n    |h|, |k|, |l| <= 4, one of each Friedel pair (first non-zero index positive).\"\"\"\n    if cell.kind == 'cubic':\n        return [hkl for hkl in itertools.product(range(5), repeat=3) if hkl != (0, 0, 0) and hkl[0] >= hkl[1] >= hkl[2]]\n    out = []\n    for hkl in itertools.product(range(-4, 5), repeat=3):\n        lead = next((x for x in hkl if x), 0)\n        if lead > 0:\n            out.append(hkl)\n    return out\n\n\ndef build_first_peak(spec, root, seed):\n    cell, rows, text, digest = load_cell(spec, root)\n    weights, lam = spec['weights'], spec['wavelength_A']\n    f000 = sum(weights[e] for e, _ in rows)\n    refl = []\n    for hkl in reflections(cell):\n        d = cell.d(hkl)\n        tt = two_theta(d, lam)\n        if tt is not None:\n            refl.append(dict(hkl=hkl, d=d, tt=tt, rel=abs(factor(rows, hkl, weights)) / f000))\n    refl.sort(key=lambda r: (r['tt'], r['hkl']))\n    allowed = [r for r in refl if r['rel'] > 1e-6]\n    first = allowed[0]\n    if cell.kind == 'cubic':\n        second = allowed[1]\n        if any(abs(r['tt'] - first['tt']) < 1e-9 and r is not first for r in allowed):\n            raise ValueError('Two different reflections share the first angle')\n    else:\n        # Symmetry-equivalent reflections share d; the answer is the angle, so equal angles are one peak.\n        same = [r for r in allowed if abs(r['tt'] - first['tt']) < 1e-9]\n        if max(r['rel'] for r in same) - min(r['rel'] for r in same) > 1e-6:\n            raise ValueError('Reflections at the first angle differ in intensity (accidental overlap)')\n        first = max(same, key=lambda r: tuple(x >= 0 for x in r['hkl']) + tuple(-abs(x) for x in r['hkl']))\n        second = next(r for r in allowed if r['tt'] - first['tt'] > 1e-6)\n    if 1e-6 < first['rel'] < 1e-3:\n        raise ValueError('First reflection too weak to be unambiguous')\n    show = lambda hkl: '(%d %d %d)' % hkl\n    lowest = refl[0]\n    cands = [dict(rule='lowest_index_ignoring_extinction', value=lowest['tt'], plausibility=3,\n                  reason=('取最低指数反射 %s，未检查它是否消光。' if cell.kind == 'cubic' else '取最低角反射 %s，未检查它是否消光。')\n                  % show(lowest['hkl']))] if lowest['rel'] <= 1e-6 else []\n    if cell.kind == 'cubic':\n        for rule in ('P', 'I', 'F'):\n            guess = next(r for r in refl if not rule_absent(rule, r['hkl']))\n            if guess is not first:\n                cands.append(dict(rule='assumed_lattice_rule:' + rule, value=guess['tt'], plausibility=3,\n                                  reason='按%s晶格规则判断，得到 %s；与实际坐标算出的结构因子不符。' % ({'P': '简单立方', 'I': '体心', 'F': '面心'}[rule], show(guess['hkl']))))\n    else:\n        a = cell.params['a']\n        cands.append(dict(rule='cubic_d_formula', value=two_theta(a / math.sqrt(sum(x * x for x in first['hkl'])), lam), plausibility=3,\n                          reason='对非立方晶胞套用立方公式 d = a/√(h²+k²+l²)（忽略 b、c 与晶胞角）。'))\n        cands.append(dict(rule='d_equals_c', value=two_theta(cell.params['c'], lam), plausibility=1, reason='把晶面间距当作晶格常数 c。'))\n    cands += [dict(rule='theta_not_two_theta', value=first['tt'] / 2, plausibility=2, reason='报告了 θ 而非 2θ。'),\n              dict(rule='second_allowed_peak', value=second['tt'], plausibility=2, reason='报告了第二个非零反射 %s。' % show(second['hkl'])),\n              dict(rule='d_equals_a', value=two_theta(cell.longest if cell.kind == 'cubic' else cell.params['a'], lam), plausibility=2,\n                   reason='把晶面间距当作晶格常数 a。')]\n    # Larger-angle misconceptions (v0.3.0): without them every mechanism but one lies below the answer and the correct\n    # option was almost always C (enumeration probe runs/enum-v06).\n    half = lam / first['d']\n    if half <= 1:\n        cands.append(dict(rule='bragg_missing_factor_two', value=math.degrees(2 * math.asin(half)), plausibility=2,\n                          reason='布拉格公式漏掉 2（用 λ = d sinθ，与把二级衍射当一级相同）。'))\n    strongest = max(allowed, key=lambda r: (round(r['rel'], 9), -r['tt']))\n    if strongest['tt'] - first['tt'] > 1e-6:\n        cands.append(dict(rule='strongest_not_first', value=strongest['tt'], plausibility=2,\n                          reason='把最强的反射 %s 当作第一个峰（混淆了强度与出现角度）。' % show(strongest['hkl'])))\n    if cell.kind == 'cubic' and sum(first['hkl']) ** 2 != sum(x * x for x in first['hkl']):\n        cands.append(dict(rule='index_sum_for_root', value=two_theta(cell.a / sum(first['hkl']), lam), plausibility=2,\n                          reason='立方面间距公式把 √(h²+k²+l²) 写成 h+k+l。'))\n    decimals, tol, sep = 2, '0.005', '0.30'\n    chosen, rejected, goal, rank = kit.choose_numeric(first['tt'], cands, decimals=decimals, tolerance=tol, min_separation=sep,\n                                                      seed=seed, context=spec['id'], lower=0, upper=180,\n                                                      target=spec.get('target_position'), distractor_separation='0.10')\n    options, audit = kit.label_numeric(first['tt'], chosen, decimals=decimals, unit='degree', seed=seed, context=spec['id'],\n                                       correct_reason='第一个 |F|≠0 的反射 %s，d = %.5f Å，2θ = 2 arcsin(λ/2d)。' % (show(first['hkl']), first['d']))\n    key = kit.validate_numeric(options, first['tt'], decimals=decimals, tolerance=tol, min_separation=sep, unit='degree',\n                               distractor_separation='0.10')\n    wlist = ', '.join('%s = %s' % kv for kv in sorted(weights.items()))\n    question = ('The table lists every atom of %s of %s. Use the kinematic structure factor with atomic '\n                'numbers as angle-independent weights (%s). For radiation of wavelength %.5f Å and first-order Bragg '\n                'diffraction, at what angle 2θ does the lowest-angle reflection with non-zero intensity appear?') % (cell.describe(), spec['name'], wlist, lam)\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['id'] + '-cell.txt', format='fractional-cell-table', unit='fractional; a in angstrom', text=text)],\n        numeric=dict(value=kit.display(first['tt'], decimals), unit='degree', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(first_reflection=show(first['hkl']), d_A=first['d'], relative_amplitude=round(first['rel'], 6),\n                    skipped_extinct=[show(r['hkl']) for r in refl if r['tt'] < first['tt']], wavelength_A=lam, **cell_checks(cell),\n                    limits='运动学近似、零角度原子序数权重；不含原子散射因子角度依赖与仪器因素。'),\n        scales=dict(input_nm=cell.longest / 10, reasoning_nm=first['d'] / 10, reasoning_definition='答案反射的晶面间距 d'),\n        input_hashes={spec['asset']: digest})\n",
  "task_families/diffraction_design.py": "\"\"\"Diffraction design (materials 0.1-1 and 1-10 nm): the inverse of first_diffraction_peak.\n\nThree modes, all decided by the first reflection with non-zero kinematic intensity computed from the full\ncell contents (so extinctions matter):\n  crystal     choose one of four crystals whose first reflection (given wavelength) is closest to a target 2θ\n  anode       for one crystal, choose one of four stated X-ray lines that puts its first reflection closest to a target 2θ\n  wavelength  numeric: the wavelength that puts the first reflection exactly at a target 2θ\nInputs are the same fractional-cell tables as coordination_shell / first_diffraction_peak (COD structures).\n\"\"\"\nimport itertools\nimport math\nfrom . import kit\nfrom .crystal import load_cell\nfrom .extinction import factor, rule_absent\n\nVERSION = '0.1.0'\nSHOW = lambda hkl: '(%d %d %d)' % hkl\n\n\ndef reflections(a, rows, weights):\n    \"\"\"All (hkl, d, relative |F|) with h >= k >= l, index <= 4, sorted by decreasing d.\"\"\"\n    f000 = sum(weights[e] for e, _ in rows)\n    out = []\n    for hkl in itertools.product(range(5), repeat=3):\n        if hkl == (0, 0, 0) or not hkl[0] >= hkl[1] >= hkl[2]:\n            continue\n        out.append(dict(hkl=hkl, d=a / math.sqrt(sum(x * x for x in hkl)), rel=abs(factor(rows, hkl, weights)) / f000))\n    out.sort(key=lambda r: (-r['d'], r['hkl']))\n    return out\n\n\ndef first_allowed(refl):\n    allowed = [r for r in refl if r['rel'] > 1e-6]\n    if len(allowed) > 1 and abs(allowed[0]['d'] - allowed[1]['d']) < 1e-9:\n        raise ValueError('Two reflections share the first spacing')\n    if allowed[0]['rel'] < 1e-3:\n        raise ValueError('First reflection too weak to be unambiguous')\n    return allowed[0]\n\n\ndef two_theta(d, lam):\n    s = lam / (2 * d)\n    return math.degrees(2 * math.asin(s)) if s <= 1 else None\n\n\ndef crystal_info(spec, root):\n    cell, rows, text, digest = load_cell(spec, root)\n    if cell.kind != 'cubic':\n        raise ValueError('diffraction_design supports cubic cells only')\n    a = cell.a\n    refl = reflections(a, rows, spec['weights'])\n    first = first_allowed(refl)\n    return dict(a=a, rows=rows, text=text, digest=digest, refl=refl, first=first, lowest=refl[0])\n\n\ndef weights_text(w):\n    return ', '.join('%s = %s' % kv for kv in sorted(w.items()))\n\n\nRULE_TEXT = ('Use the kinematic structure factor with atomic numbers as angle-independent weights and first-order Bragg '\n             'diffraction; the relevant peak is the lowest-angle reflection with non-zero intensity.')\n\n\ndef choose(spec, seed, rows, prop, target, wrong, label, reason_ok):\n    \"\"\"rows: candidate dicts; prop(row) -> 2θ; wrong: [(rule, f, note)]. Closest-to-target selection with margins.\"\"\"\n    ranked = sorted(rows, key=lambda r: abs(prop(r) - target))\n    best, runner = ranked[0], ranked[1]\n    d1, d2 = abs(prop(best) - target), abs(prop(runner) - target)\n    if d2 < 1.5 * d1 or d2 - d1 < 0.5:\n        raise ValueError('Winning margin too small')\n    why = {}\n    for rule, f, note in wrong:\n        vals = [(abs(f(r) - target), r) for r in rows if f(r) is not None]\n        if not vals:\n            continue\n        pick = min(vals, key=lambda v: v[0])[1]\n        if pick is not best and label(pick) not in why:\n            why[label(pick)] = (rule, '%s时它最接近目标（%.2f°）。' % (note, f(pick)), 3)\n    for r in rows:\n        if r is not best and label(r) not in why:\n            why[label(r)] = ('farther_from_target', '首个非零反射在 2θ = %.2f°，离目标更远。' % prop(r), 2)\n    others = [(why[label(r)][0], label(r), why[label(r)][1], why[label(r)][2]) for r in rows if r is not best]\n    order = kit.place(('correct', label(best), reason_ok(best), 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    return options, key, audit, dict(margin_deg=d2 - d1)\n\n\ndef build(spec, root, seed):\n    mode = spec['mode']\n    if mode == 'crystal':\n        lam, target = spec['wavelength_A'], spec['target_2theta']\n        rows, inputs, hashes = [], [], {}\n        for c in spec['candidates']:\n            info = crystal_info(c, root)\n            rows.append(dict(c, **info))\n            inputs.append(dict(name=c['id'] + '-cell.txt', format='fractional-cell-table', unit='fractional; a in angstrom', text=info['text']))\n            hashes[c['asset']] = info['digest']\n        prop = lambda r: two_theta(r['first']['d'], lam)\n        wrong = [('lowest_index_ignoring_extinction', lambda r: two_theta(r['lowest']['d'], lam), '取最低指数反射、未检查消光'),\n                 ('theta_not_two_theta', lambda r: prop(r) / 2, '把 θ 当作 2θ 比较'),\n                 ('assumed_simple_cubic', lambda r: two_theta(next(x for x in r['refl'] if not rule_absent('P', x['hkl']))['d'], lam), '一律按简单立方规则')]\n        label = lambda r: '%s (%s-cell.txt)' % (r['short'], r['id'])\n        options, key, audit, extra = choose(spec, seed, rows, prop, target, wrong, label,\n                                            lambda r: '首个非零反射 %s，2θ = %.2f°，最接近目标。' % (SHOW(r['first']['hkl']), prop(r)))\n        wl = '; '.join('%s: %s' % (r['short'], weights_text(r['weights'])) for r in rows)\n        question = ('The four tables list every atom of one conventional cubic cell of four crystals (files named by crystal). %s '\n                    'Weights: %s. For X-rays of wavelength %.5f Å, you must choose the crystal whose lowest-angle reflection with '\n                    'non-zero intensity lies closest to 2θ = %.2f° (for example, to calibrate a detector at that angle). Which crystal '\n                    'should you choose?' % (RULE_TEXT, wl, lam, target))\n        checks = dict(candidates=[dict(crystal=r['short'], first=SHOW(r['first']['hkl']), d_A=r['first']['d'], two_theta=prop(r)) for r in rows],\n                      wavelength_A=lam, target_2theta=target, **extra)\n        reasoning = max(r['first']['d'] for r in rows) / 10\n        input_nm = max(r['a'] for r in rows) / 10\n        return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                    option_audit=audit, excluded_candidates=[], rank=None, checks=dict(checks, limits=LIMITS),\n                    scales=dict(input_nm=input_nm, reasoning_nm=reasoning, reasoning_definition='候选中最大的首个非零反射晶面间距 d'),\n                    input_hashes=hashes)\n    info = crystal_info(spec, root)\n    d, target = info['first']['d'], spec['target_2theta']\n    inputs = [dict(name=spec['id'] + '-cell.txt', format='fractional-cell-table', unit='fractional; a in angstrom', text=info['text'])]\n    common = ('The table lists every atom of one conventional cubic cell of %s. %s Weights: %s.' % (spec['name'], RULE_TEXT, weights_text(spec['weights'])))\n    scales = dict(input_nm=info['a'] / 10, reasoning_nm=d / 10, reasoning_definition='首个非零反射的晶面间距 d')\n    base_checks = dict(first=SHOW(info['first']['hkl']), d_A=d, lowest_index=SHOW(info['lowest']['hkl']), a_A=info['a'], target_2theta=target,\n                       limits=LIMITS)\n    if mode == 'anode':\n        lines = [dict(name=n, lam=l) for n, l in spec['lines']]\n        prop = lambda r: two_theta(d, r['lam'])\n        wrong = [('lowest_index_ignoring_extinction', lambda r: two_theta(info['lowest']['d'], r['lam']), '取最低指数反射、未检查消光'),\n                 ('theta_not_two_theta', lambda r: prop(r) / 2 if prop(r) else None, '把 θ 当作 2θ 比较'),\n                 ('d_equals_a', lambda r: two_theta(info['a'], r['lam']), '把晶格常数 a 当作晶面间距')]\n        label = lambda r: '%s (λ = %.5f Å)' % (r['name'], r['lam'])\n        options, key, audit, extra = choose(spec, seed, [r for r in lines if prop(r)], prop, target, wrong, label,\n                                            lambda r: '首个非零反射 %s，d = %.4f Å，2θ = %.2f°。' % (SHOW(info['first']['hkl']), d, prop(r)))\n        question = ('%s You must choose the X-ray source line that places this lowest-angle reflection with non-zero intensity closest '\n                    'to 2θ = %.2f° (for example, to keep it clear of the beam stop while resolving it well). Which line should you '\n                    'choose?' % (common, target))\n        return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                    option_audit=audit, excluded_candidates=[], rank=None,\n                    checks=dict(base_checks, lines={r['name']: prop(r) for r in lines}, **extra), scales=scales,\n                    input_hashes={spec['asset']: info['digest']})\n    # wavelength (numeric)\n    value = 2 * d * math.sin(math.radians(target / 2))\n    cands = [dict(rule='lowest_index_ignoring_extinction', value=2 * info['lowest']['d'] * math.sin(math.radians(target / 2)), plausibility=3,\n                  reason='用最低指数反射 %s 的 d（该反射消光）。' % SHOW(info['lowest']['hkl'])),\n             dict(rule='two_theta_as_theta', value=2 * d * math.sin(math.radians(target)), plausibility=3, reason='把 2θ 当作 θ 代入。'),\n             dict(rule='d_equals_a', value=2 * info['a'] * math.sin(math.radians(target / 2)), plausibility=2, reason='把晶格常数 a 当作 d。'),\n             dict(rule='missing_factor_two', value=d * math.sin(math.radians(target / 2)), plausibility=2, reason='λ = d sinθ，漏掉因子 2。'),\n             dict(rule='second_allowed', value=2 * next(r for r in info['refl'] if r['rel'] > 1e-6 and r['d'] < d - 1e-9)['d'] *\n                  math.sin(math.radians(target / 2)), plausibility=2, reason='用了第二个非零反射。')]\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=4, tolerance='0.00005', min_separation='0.0500', seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'), distractor_separation='0.0250')\n    options, audit = kit.label_numeric(value, picked, decimals=4, unit='angstrom', seed=seed, context=spec['id'],\n                                       correct_reason='首个非零反射 %s，d = %.4f Å，λ = 2d sin(θ)。' % (SHOW(info['first']['hkl']), d))\n    key = kit.validate_numeric(options, value, decimals=4, tolerance='0.00005', min_separation='0.0500', unit='angstrom', distractor_separation='0.0250')\n    question = ('%s You must choose the X-ray wavelength that places this lowest-angle reflection with non-zero intensity exactly at '\n                '2θ = %.2f°. What wavelength, in Å, should you use?' % (common, target))\n    return dict(question=question, scope=spec['scope'], inputs=inputs,\n                numeric=dict(value=kit.display(value, 4), unit='angstrom', decimals=4, tolerance='0.00005'),\n                options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n                checks=dict(base_checks, wavelength_A=value), scales=scales, input_hashes={spec['asset']: info['digest']})\n\n\nLIMITS = '运动学近似、零角度原子序数权重；不含原子散射因子角度依赖、吸收与仪器因素。设计选择基于计算证据。'\n",
  "task_families/evidence.py": "\"\"\"Evidence-to-conclusion questions from papers (meeting 6: give the evidence, ask for the key conclusion).\n\nEach question reads one hand-transcribed evidence card, docs/assets/families/evidence/<id>.json, checked against the\nfull text kept locally (inputs/papers/, not in the repository). The card lists the facts (numbers and observations,\nparaphrased, each with its place in the paper), the paper's conclusion and the alternatives the paper rules out. The\nstudent receives the facts as an attachment (evidence.txt), plus any structure files; never the conclusions' sources.\n\nevidence_quantity (inference): compute one quantity from the facts (a spacing, an area, a field, a twist angle, a\n    count, a band width, a ratio, a distance difference), then judge. The four options cross two values (correct, or\n    the value of a registered mistake) with two conclusions (the paper's, or one the paper rules out), so neither half\n    alone gives the answer and no option is a majority cue. The value is computed here and recomputed by the checker.\nevidence_elimination (inference): four explanations; each states what it predicts for the observed facts. The code\n    keeps the explanations whose predictions all match the observations: exactly one may survive, and it must be the\n    paper's conclusion; every other one must contradict at least one fact shown to the student.\n\nWhat code guarantees: the numbers, the 2x2 structure, and the logical elimination over the card. What it cannot: that\nthe card renders the paper faithfully. That is the L1 check (each fact and conclusion has a locator for side-by-side\ncomparison with the original).\n\"\"\"\nimport json\nimport math\nimport re\nfrom . import kit\n\nVERSION = '0.1.0'\nH = 6.62607015e-34          # J s, exact (SI 2019)\nE = 1.602176634e-19         # C, exact (SI 2019)\nFLUX = {'h/2e': H / (2 * E), 'h/e': H / E}\nUNITS = {'nm': ' nm', 'um^2': ' µm²', 'T': ' T', 'degree': '°', 'angstrom': ' Å', 'eV': ' eV', '': ''}\nNUMBER = re.compile(r'^(-?\\d+(?:\\.\\d+)?)(?: × 10\\^(-?\\d+))?')\n\n\ndef shown_value(display):\n    \"\"\"Number at the start of a display string such as '1.5 × 10^11 cm^-2' or '4 µm × 4 µm'.\"\"\"\n    m = NUMBER.match(display)\n    if not m:\n        raise ValueError('Display string does not start with a number: ' + display)\n    return float(m.group(1)) * (10 ** int(m.group(2)) if m.group(2) else 1)\n\n\ndef load(root, rel):\n    raw = (root / 'docs' / rel).read_bytes()\n    card = json.loads(raw.decode('utf-8'))\n    if card.get('kind') != 'evidence_card':\n        raise ValueError('Not an evidence card: ' + rel)\n    return card, raw\n\n\ndef facts_text(card):\n    return ''.join('%s. %s\\n' % (f['id'], f['text']) for f in card['facts'])\n\n\ndef values(card):\n    \"\"\"Named numbers of the card; each must be displayed verbatim in its fact and parse back to the stored value.\"\"\"\n    out = {}\n    for f in card['facts']:\n        for name, (value, display) in f.get('values', {}).items():\n            if display not in f['text'] or not math.isclose(shown_value(display), value, rel_tol=1e-12):\n                raise ValueError('Value %s is not shown as stored in %s' % (name, f['id']))\n            if name in out:\n                raise ValueError('Duplicate value name ' + name)\n            out[name] = float(value)\n    return out\n\n\ndef arg(v, x):\n    return v[x] if isinstance(x, str) else float(x)\n\n\ndef structures(root, card):\n    files, inputs, hashes = {}, [], {}\n    for f in card.get('files', []):\n        raw = (root / 'docs' / f['asset']).read_bytes()\n        text = raw.decode('utf-8')\n        files[f['key']] = kit.parse_xyz(text)\n        inputs.append(dict(name=f['name'], format='xyz', unit='angstrom', text=text))\n        hashes[f['asset']] = kit.sha256(raw)\n    return files, inputs, hashes\n\n\ndef compute(kind, a, v, files):\n    \"\"\"Quantity in the card's unit. Distances in the cards are in nm unless the unit says otherwise.\"\"\"\n    if kind == 'inverse_sqrt_density':                           # cm^-2 -> nm\n        return 1e7 / math.sqrt(arg(v, a['n_cm2']))\n    if kind == 'flux_loop_area':                                 # S = Phi / dB, in um^2\n        return FLUX[a['flux']] / (arg(v, a['period_mT']) * 1e-3) * 1e12\n    if kind == 'thin_film_parallel_field':                       # Bc|| = sqrt(3) Phi0 / (pi d xi), in T\n        return math.sqrt(3) * FLUX['h/2e'] / (math.pi * arg(v, a['d_nm']) * 1e-9 * arg(v, a['xi_nm']) * 1e-9)\n    if kind == 'perpendicular_gl_field':                         # Bc2 = Phi0 / (2 pi xi^2), in T\n        return FLUX['h/2e'] / (2 * math.pi * (arg(v, a['xi_nm']) * 1e-9) ** 2)\n    if kind == 'equal_area_twist':                               # Heron area -> equilateral side -> twist (degrees)\n        x, y, z = (arg(v, a[k]) for k in ('l1', 'l2', 'l3'))\n        s = (x + y + z) / 2\n        area = math.sqrt(s * (s - x) * (s - y) * (s - z))\n        side = math.sqrt(4 * area / math.sqrt(3))\n        return math.degrees(2 * math.asin(arg(v, a['a_nm']) / (2 * side)))\n    if kind == 'single_wavelength_twist':\n        return math.degrees(2 * math.asin(arg(v, a['a_nm']) / (2 * arg(v, a['l']))))\n    if kind == 'flux_quanta_count':                              # N = B A / Phi\n        side = arg(v, a['side_um']) * 1e-6\n        return arg(v, a['B_mT']) * 1e-3 * side * side / FLUX[a['flux']]\n    if kind in ('cholesteric_bandwidth', 'cholesteric_centre'):  # p = 1/(HTP c); width p*dn, centre p*<n>, in nm\n        pitch_nm = 1e3 / (arg(v, a['htp_um']) * arg(v, a['c_wt']) / 100)\n        ne, no = arg(v, a['ne']), arg(v, a['no'])\n        return pitch_nm * ((ne - no) if kind == 'cholesteric_bandwidth' else (ne + no) / 2)\n    if kind == 'htp_ratio':                                      # HTP = n / (lambda c): ratio = lam_R c_R / (lam_L c_L)\n        return arg(v, a['lam_R']) * arg(v, a['c_R']) / (arg(v, a['lam_L']) * arg(v, a['c_L']))\n    if kind == 'wavelength_ratio':\n        return arg(v, a['lam_R']) / arg(v, a['lam_L'])\n    if kind == 'photon_energy_shift':                            # E = hc/lambda; shift = E(to) - E(from), in eV\n        hc = arg(v, a['hc'])\n        return hc / arg(v, a['lam_to']) - hc / arg(v, a['lam_from'])\n    if kind == 'regular_polygon_radius':                         # circumradius of a regular n-gon of given side\n        n = arg(v, a['n'])\n        return arg(v, a['side']) / (2.0 * math.sin(math.pi / n))\n    if kind in ('layer_ratio', 'layer_ratio_inverted'):         # Dimitrov-Nagayama: k = beta h Je phi / (0.605 d v (1 - phi))\n        layers = lambda speed: 1.0 / (0.605 * speed)               # same suspension and meniscus: all other factors cancel\n        ratio = layers(arg(v, a['v_slow'])) / layers(arg(v, a['v_fast']))\n        return ratio if kind == 'layer_ratio' else 1.0 / ratio      # mistake: layers taken to grow with speed\n    if kind == 'xyz_distance_difference':                        # rows counted from 1, in angstrom\n        def d(key, rows):\n            elements, points = files[key]\n            i, j = (r - 1 for r in rows)\n            return math.dist(points[i], points[j])\n        return d(a['a_file'], a['a_rows']) - d(a['b_file'], a['b_rows'])\n    raise ValueError('Unknown quantity kind ' + kind)\n\n\ndef question(card, extra_files):\n    files = ' and '.join(['evidence.txt'] + [f['name'] for f in card.get('files', [])]) if extra_files else 'evidence.txt'\n    return ('%s The attached %s give%s the evidence (facts E1–E%d from %s; numbers as reported in the paper). %s'\n            % (card['topic'], files, '' if extra_files else 's', len(card['facts']), card['short_citation'], card['ask']))\n\n\ndef evidence_input(card):\n    return dict(name='evidence.txt', format='text', unit='单位见各条', text=facts_text(card))\n\n\ndef build_quantity(spec, root, seed):\n    card, raw = load(root, spec['asset'])\n    if card['family'] != 'evidence_quantity':\n        raise ValueError('Card is not a quantity card')\n    v = values(card)\n    files, xyz_inputs, hashes = structures(root, card)\n    hashes[spec['asset']] = kit.sha256(raw)\n    q, err, concl = card['quantity'], card['error'], card['conclusions']\n    right, wrong = compute(q['kind'], q['args'], v, files), compute(err['kind'], err['args'], v, files)\n    dec = q['decimals']\n    shown_right, shown_wrong = kit.display(right, dec), kit.display(wrong, dec)\n    if abs(right - wrong) < float(q['min_separation']) or shown_right == shown_wrong:\n        raise ValueError('Mistake value too close to the correct value')\n    unit = UNITS[q['unit']]\n    text = lambda shown, c: '%s %s%s. %s' % (q['label'], shown, unit, c['text'])\n    paper, rejected = concl['paper'], concl['rejected']\n    correct = ('correct', text(shown_right, paper), '数值按原文数据计算正确，结论即原文结论（%s）。' % paper['locator'], 3)\n    others = [\n        (rejected['rule'], text(shown_right, rejected), '数值正确，但结论是原文排除的解释：%s（%s）' % (rejected['reason'], rejected['locator']), 3),\n        (err['rule'], text(shown_wrong, paper), '结论措辞取自原文，但数值来自错误做法：%s' % err['reason'], err.get('plausibility', 2)),\n        (err['rule'] + '+' + rejected['rule'], text(shown_wrong, rejected), '数值来自错误做法（%s），结论也是原文排除的解释。' % err['reason'], 2)]\n    order = kit.place(correct, others, spec.get('target_position'), seed, spec['id'], key=lambda x: x[1])\n    options = [dict(label=l, value=x[1]) for l, x in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [x[0] == 'correct' for x in order])\n    audit = [dict(label=l, value=x[1], rule=x[0], reason=x[2], is_correct=x[0] == 'correct', plausibility=x[3])\n             for l, x in zip(kit.LABELS, order)]\n    s = card['scale']\n    return dict(\n        question=question(card, bool(xyz_inputs)), scope=spec['scope'], inputs=[evidence_input(card)] + xyz_inputs, numeric=None,\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None,\n        option_order='2×2: value (correct / registered mistake) × conclusion (paper / ruled out); correct at batch target',\n        checks=dict(card=card['id'], value=right, shown=shown_right, mistake_value=wrong, mistake_rule=err['rule'],\n                    decimals=dec, unit=q['unit'], facts={f['id']: f['locator'] for f in card['facts']},\n                    paper_conclusion_locator=paper['locator'], notes=card.get('notes', []),\n                    limits='数值由代码计算并经独立检查器复算；结论措辞与证据转录须对照原文位置人工核对（L1）。四个选项是“数值 × 结论”两个二元判断的组合。'),\n        scales=dict(input_nm=s['input_nm'], reasoning_nm=s['reasoning_nm'], reasoning_definition=s['definition']),\n        input_hashes=hashes)\n\n\ndef eliminate(card):\n    \"\"\"Explanations whose predictions all agree with the observations; with the contradicting facts of the others.\"\"\"\n    observed, where = {}, {}\n    for f in card['facts']:\n        for k, val in f.get('observed', {}).items():\n            if k in observed:\n                raise ValueError('Observation stated twice: ' + k)\n            observed[k], where[k] = val, f['id']\n    survivors, conflicts = [], {}\n    for h in card['hypotheses']:\n        unknown = set(h['predicts']) - set(observed)\n        if unknown:\n            raise ValueError('Prediction not covered by any fact: ' + ', '.join(sorted(unknown)))\n        bad = sorted({where[k] for k, val in h['predicts'].items() if observed[k] != val})\n        conflicts[h['rule']] = bad\n        if not bad:\n            survivors.append(h)\n    return survivors, conflicts\n\n\ndef build_elimination(spec, root, seed):\n    card, raw = load(root, spec['asset'])\n    if card['family'] != 'evidence_elimination' or len(card['hypotheses']) != 4:\n        raise ValueError('Elimination cards need exactly four explanations')\n    survivors, conflicts = eliminate(card)\n    if len(survivors) != 1 or not survivors[0].get('paper_conclusion'):\n        raise ValueError('Exactly one explanation, the paper conclusion, must survive the evidence')\n    paper = survivors[0]\n    correct = ('correct', paper['text'], '与全部事实一致，即原文结论（%s）。' % paper['locator'], 3)\n    others = [(h['rule'], h['text'], '与 %s 矛盾：%s（%s）' % ('、'.join(conflicts[h['rule']]), h['reason'], h['locator']), 3)\n              for h in card['hypotheses'] if h is not paper]\n    order = kit.place(correct, others, spec.get('target_position'), seed, spec['id'], key=lambda x: x[1])\n    options = [dict(label=l, value=x[1]) for l, x in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [x[0] == 'correct' for x in order])\n    audit = [dict(label=l, value=x[1], rule=x[0], reason=x[2], is_correct=x[0] == 'correct') for l, x in zip(kit.LABELS, order)]\n    s = card['scale']\n    return dict(\n        question=question(card, False), scope=spec['scope'], inputs=[evidence_input(card)], numeric=None,\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(card=card['id'], contradicted_by=conflicts, facts={f['id']: f['locator'] for f in card['facts']},\n                    paper_conclusion_locator=paper['locator'], unique_survivor=True,\n                    limits='排除逻辑由代码执行；各解释的“预期”与事实转录须对照原文位置人工核对（L1），程序不能保证其科学正确。'),\n        scales=dict(input_nm=s['input_nm'], reasoning_nm=s['reasoning_nm'], reasoning_definition=s['definition']),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/extent_choice.py": "\"\"\"Version 0.2 four-choice construction for the two existing size templates.\n\nSame numeric answers as template_engine (reused, not re-derived). Distractors now\ncome from error mechanisms on both sides of the correct value (e.g. heavy-atom only\nand axis span below Dmax; bounding-box diagonal and 2x max radius above), and the\ncorrect value's numeric rank is balanced by seed so that \"always pick the largest\n(or smallest)\" no longer answers the batch. Legacy choice_engine v0.1 runs are kept.\n\"\"\"\nimport itertools\nimport math\nfrom pathlib import Path\nfrom . import kit\nimport template_engine as numeric\n\nVERSION = '0.3.1'\nMASS = {'H': 1.008, 'C': 12.011, 'N': 14.007, 'O': 15.999, 'S': 32.06, 'Cl': 35.45, 'Zn': 65.38,\n        'P': 30.974, 'F': 18.998, 'Si': 28.085, 'Na': 22.990, 'Mg': 24.305}\n\n\ndef _rg(points, weights=None):\n    w = weights or [1.0] * len(points)\n    total = math.fsum(w)\n    c = [math.fsum(wi * p[k] for wi, p in zip(w, points)) / total for k in range(3)]\n    return math.sqrt(math.fsum(wi * math.dist(p, c) ** 2 for wi, p in zip(w, points)) / total)\n\n\nVDW = {'H': 1.20, 'C': 1.70, 'N': 1.55, 'O': 1.52, 'S': 1.80, 'Cl': 1.75, 'Zn': 1.39, 'P': 1.80, 'F': 1.47,\n       'Si': 2.10, 'Na': 2.27, 'Mg': 1.73}   # Bondi radii, Zn/Si/Na/Mg from the same compilation\n\n\ndef _extent_with_vdw(elements, points):\n    best = max(((math.dist(points[i], points[j]), i, j) for i, j in itertools.combinations(range(len(points)), 2)))\n    return best[0] + VDW[elements[best[1]]] + VDW[elements[best[2]]]\n\n\ndef candidates(elements, points, template):\n    heavy = [p for e, p in zip(elements, points) if e != 'H']\n    center = [math.fsum(p[k] for p in points) / len(points) for k in range(3)]\n    radii = [math.dist(p, center) for p in points]\n    pairs = [math.dist(a, b) for a, b in itertools.combinations(points, 2)]\n    spans = [max(p[k] for p in points) - min(p[k] for p in points) for k in range(3)]\n    rg = _rg(points)\n    common = [dict(rule='mean_pair_distance', value=math.fsum(pairs) / len(pairs), plausibility=1,\n                   reason='把全部点对距离的算术平均当作目标量。'),\n              dict(rule='rms_pair_distance', value=math.sqrt(math.fsum(d * d for d in pairs) / len(pairs)), plausibility=1,\n                   reason='用点对距离的均方根替代题目定义。')]\n    if template == 'global_extent':\n        return common + [\n            # v0.3.0: plausibility 2 (was 1) -- confusing two size measures is common, and without a third plausible\n            # smaller-value mistake the answer could never be D (enumeration probe runs/enum-v20).\n            dict(rule='radius_as_extent', value=rg, plausibility=2, reason='把等权回转半径误当最大点对间距（混淆两种尺寸量）。'),\n            dict(rule='centroid_diameter', value=2 * max(radii), plausibility=2,\n                 reason='用两倍最大中心距代替最大点对间距（前者 ≥ 后者，一般不相等）。'),\n            dict(rule='first_last_rows', value=math.dist(points[0], points[-1]), plausibility=1,\n                 reason='只算 XYZ 首末两行；行序不表示链端。'),\n            dict(rule='heavy_atoms_only', value=numeric.calculate(heavy, 'global_extent') if len(heavy) > 1 else None,\n                 plausibility=3, reason='忽略氢原子，只在重原子中找最大间距；题目要求全部点。'),\n            dict(rule='bounding_box_diagonal', value=math.sqrt(math.fsum(s * s for s in spans)), plausibility=3,\n                 reason='用坐标轴对齐包围盒对角线代替实际最大点对间距（前者 ≥ 后者）。'),\n            dict(rule='largest_axis_span', value=max(spans), plausibility=2,\n                 reason='只取单一坐标轴上的最大跨度，忽略斜向点对。'),\n            dict(rule='two_largest_radii', value=sum(sorted(radii)[-2:]), plausibility=2,\n                 reason='把两个最大中心距相加，默认最远两点位于质心两侧（该和 ≥ 实际最大间距）。'),\n            dict(rule='with_vdw_radii', value=_extent_with_vdw(elements, points), plausibility=2,\n                 reason='给最远点对两端再加范德华半径，报告“分子外形尺寸”而非点集最大间距。'),\n        ]\n    if template == 'equal_weight_rg':\n        n = len(points)\n        # v0.3.0: the pair form Rg^2 = sum(d^2) / (2 N^2) without the factor 1/2 gives about sqrt(2) Rg; with it and\n        # maximum_radius at plausibility 2 the answer can also be A or B (probe runs/enum-v20).\n        common = [c if c['rule'] != 'rms_pair_distance' else\n                  dict(c, plausibility=2, reason='用点对公式但漏了因子 1/2（Rg² = Σd²/2N²），约得 √2·Rg。') for c in common]\n        return common + [\n            dict(rule='mean_radius', value=math.fsum(radii) / n, plausibility=2, reason='用中心距算术平均替代均方根。'),\n            dict(rule='maximum_radius', value=max(radii), plausibility=2, reason='用最大中心距（“半径”）替代回转半径。'),\n            dict(rule='diameter_for_radius', value=2 * rg, plausibility=1, reason='把回转半径乘二，输出直径式量。'),\n            dict(rule='mass_weighted', value=_rg(points, [MASS[e] for e in elements]), plausibility=3,\n                 reason='使用原子质量加权；题目明确要求所有点等权。'),\n            dict(rule='heavy_atoms_only', value=_rg(heavy) if len(heavy) > 1 else None, plausibility=3,\n                 reason='只统计重原子，忽略氢。'),\n            dict(rule='n_minus_one', value=math.sqrt(math.fsum(r * r for r in radii) / (n - 1)), plausibility=2,\n                 reason='用 N−1 作分母（样本方差习惯），不是题目定义。'),\n        ]\n    raise ValueError('Unsupported template')\n\n\ndef build(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    text = raw.decode('utf-8-sig')\n    elements, points = kit.parse_xyz(text)\n    template = spec['template']\n    exact = numeric.verify_decimal(text, template)\n    computed = numeric.calculate(points, template)\n    if not math.isclose(computed, float(exact), abs_tol=1e-9, rel_tol=1e-12):\n        raise ValueError('Numeric crosscheck failed')\n    decimals, tol, sep = 4, '0.00005', '0.0500'\n    chosen, rejected, goal, rank = kit.choose_numeric(exact, candidates(elements, points, template), decimals=decimals,\n                                                      tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'))\n    options, audit = kit.label_numeric(exact, chosen, decimals=decimals, unit='angstrom', seed=seed, context=spec['id'],\n                                       correct_reason='template_engine 定义计算，并以十进制实现复核。')\n    key = kit.validate_numeric(options, exact, decimals=decimals, tolerance=tol, min_separation=sep, unit='angstrom')\n    registry = {t['id']: t for t in __import__('json').loads((root / 'templates/registry.json').read_text(encoding='utf-8'))['templates']}\n    question = registry[template]['question'].replace(\n        'Return only one value rounded to four decimal places and unit angstrom.', '').strip()\n    if spec.get('context'):          # names the object (advisor: chemical entities, not bare point sets); optional\n        question = spec['context'].strip() + ' ' + question\n    return dict(\n        question=question + ' Choose the correct value (angstrom, four decimals).',\n        scope=spec['scope'],\n        inputs=[dict(name=path.name, format='xyz', unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(exact, decimals), unit='angstrom', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=rank),\n        checks=dict(float_value=computed, decimal_crosscheck=str(exact), legacy_reference=spec.get('legacy_numeric_reference'),\n                    legacy_agreement=abs(float(kit.display(exact, 4)) - spec['legacy_numeric_reference']) <= 0.0001\n                    if spec.get('legacy_numeric_reference') is not None else None),\n        scales=dict(input_nm=kit.dmax(points) / 10,\n                    reasoning_nm=(computed if template == 'global_extent' else kit.dmax(points)) / 10,\n                    reasoning_definition='全局点集：最大点对间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/extinction.py": "\"\"\"Inference family: which reflection is extinct for this real cell (kinematic model).\n\nPhysical model stated in the question: F(hkl) = sum_j Z_j exp[2 pi i (h x_j + k y_j + l z_j)],\natomic numbers as angle-independent weights. The checker evaluates all four options\nfrom the same coordinate table the student receives; exactly one must vanish and the\nother three must be clearly nonzero. Centering rules are necessary conditions only;\nthe answer comes from the actual coordinates, not from a rule lookup.\nNon-cubic cells (source_kind 'cif_general', task_families/cell.py) use every (h k l) with 0 <= h, k, l <= 4;\nthere the centering rules are replaced by the axis-confusion misconception (an index-permuted twin is extinct).\n\"\"\"\nimport cmath\nimport itertools\nimport math\nimport sys\nfrom fractions import Fraction\nfrom . import kit\n\nVERSION = '0.2.0'\nZERO = 1e-6      # |F| / F(000) at or below: extinct\nCLEAR = 0.05     # |F| / F(000) at or above: clearly nonzero; between: ambiguous, never used\n\n\ndef cell_from_cif(root, asset):\n    sys.path.insert(0, str(root / 'tools'))\n    import recompute_materials_batch as legacy  # limited cubic reader, reused unchanged\n    crystal = legacy.read_cubic(root / 'docs' / asset)\n    rows = [(r['element'], [Fraction(x) for x in r['fractional_exact']]) for r in crystal['rows']]\n    return crystal['a_A'], [(e, [float(x) for x in f]) for e, f in rows]\n\n\ndef cell_from_xyz(root, asset, a):\n    elements, points = kit.parse_xyz((root / 'docs' / asset).read_text(encoding='utf-8-sig'))\n    frac = [[x / a for x in p] for p in points]\n    if any(not -1e-9 <= x < 1 + 1e-9 for p in frac for x in p):\n        raise ValueError('Coordinates are not inside one conventional cell')\n    return a, list(zip(elements, frac))\n\n\ndef table(a, rows, name):\n    lines = ['%s; cubic a = %.5f angstrom; %d atoms; element x y z (fractional)' % (name, a, len(rows))]\n    lines += ['%s %.8f %.8f %.8f' % (e, *f) for e, f in rows]\n    return '\\n'.join(lines) + '\\n'\n\n\ndef parse_table(text):\n    lines = text.splitlines()\n    rows = [line.split() for line in lines[1:] if line.strip()]\n    return [(r[0], [float(x) for x in r[1:]]) for r in rows]\n\n\ndef factor(rows, hkl, weights):\n    return sum(weights[e] * cmath.exp(2j * math.pi * sum(h * x for h, x in zip(hkl, f))) for e, f in rows)\n\n\ndef rule_absent(rule, hkl):\n    h, k, l = hkl\n    if rule == 'I':\n        return (h + k + l) % 2 == 1\n    if rule == 'F':\n        return len({h % 2, k % 2, l % 2}) > 1\n    if rule == 'F+d':\n        return rule_absent('F', hkl) or (h % 2 == k % 2 == l % 2 == 0 and (h + k + l) % 4 == 2)\n    return False\n\n\nRULES = {'P': '简单立方（无中心化消光）', 'I': '体心 I：h+k+l 为奇数消光',\n         'F': '面心 F：奇偶混合消光', 'F+d': '面心 F 加金刚石滑移：另有全偶且 h+k+l=4n+2 消光'}\n\n\ndef build(spec, root, seed):\n    from .cell import GeneralCell, general_table, is_cubic, read_cif\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    general = spec['source_kind'] == 'cif_general'\n    if general:\n        params, rows = read_cif(root / 'docs' / spec['asset'])\n        if is_cubic(params):                 # cubic cell from the general reader: cubic path and centring rules\n            general, a = False, params['a']\n        else:\n            cell = GeneralCell(**params)\n            a = cell.longest\n    elif spec['source_kind'] == 'cif':\n        a, rows = cell_from_cif(root, spec['asset'])\n    else:\n        a, rows = cell_from_xyz(root, spec['asset'], spec['a'])\n    weights = spec['weights']\n    if set(e for e, _ in rows) != set(weights):\n        raise ValueError('Weights must cover exactly the elements present')\n    text = general_table(cell, rows, spec['name']) if general else table(a, rows, spec['name'])\n    rows = parse_table(text)            # evaluate exactly what the student receives\n    f000 = sum(weights[e] for e, _ in rows)\n    equal = {e: 1 for e in weights}\n    pool = []\n    for hkl in itertools.product(range(5), repeat=3):\n        if hkl == (0, 0, 0) or (not general and not (hkl[0] >= hkl[1] >= hkl[2])) or sum(x * x for x in hkl) > 20:\n            continue\n        amp = abs(factor(rows, hkl, weights)) / f000\n        amp_equal = abs(factor(rows, hkl, equal)) / len(rows)\n        pool.append(dict(hkl=hkl, rel=amp, rel_equal=amp_equal))\n    zeros = [p for p in pool if p['rel'] <= ZERO]\n    clear = [p for p in pool if p['rel'] >= CLEAR]\n    if not zeros or len(clear) < 3:\n        raise ValueError('Need at least one extinct and three clearly nonzero reflections')\n    low = [p for p in zeros if sum(x * x for x in p['hkl']) <= 12] or zeros\n    # Prefer extinctions caused by the basis (not predicted by I or F centering alone),\n    # so the answer depends on the coordinates rather than on recalling a lattice rule.\n    basis = [p for p in low if not rule_absent('I', p['hkl']) and not rule_absent('F', p['hkl'])]\n    correct = kit.ordered(basis or low, seed, spec['id'] + '/correct', key=lambda p: p['hkl'])[0]\n    correct_origin = 'basis_or_glide' if basis else 'lattice_centering'\n    zero_set = {p['hkl'] for p in zeros}\n    for p in clear:\n        mechanisms = []\n        for rule in (() if general else ('I', 'F', 'F+d')):\n            if rule_absent(rule, p['hkl']):\n                mechanisms.append((3, 'wrong_rule:' + rule, '按“%s”会判为消光，但本结构实际坐标给出非零 |F|。' % RULES[rule]))\n        if general:\n            twins = sorted({t for t in itertools.permutations(p['hkl']) if t != p['hkl'] and t in zero_set})\n            if twins:\n                mechanisms.append((3, 'axis_confusion', '指数换轴后的 (%d %d %d) 是消光的；把那条消光条件套到了另一根晶轴上，但本反射 |F| 不为零。' % twins[0]))\n        if p['rel_equal'] <= ZERO:\n            mechanisms.append((3, 'identical_atom_assumption', '若把所有原子当作同种原子会相消；实际不同原子序数使其不为零。'))\n        if p['rel'] < 0.25:\n            mechanisms.append((2, 'weak_not_absent', '强度较弱（|F|/F000=%.3f），但不为零，弱不等于消光。' % p['rel']))\n        if not mechanisms:\n            mechanisms.append((1, 'allowed_generic', '普通允许反射，非零。'))\n        p['plausibility'], p['rule'], p['reason'] = max(mechanisms)\n        p['all_mechanisms'] = [m[1] for m in mechanisms]\n    ranked = sorted(clear, key=lambda p: (-p['plausibility'], sum(x * x for x in p['hkl']),\n                                          kit.digest(seed, spec['id'], p['hkl'])))\n    if general:\n        # Symmetry-equivalent reflections (same d and |F|) would let a student drop two options at once.\n        for p in pool:\n            p['d'] = cell.d(p['hkl'])\n        twin = lambda p, q: abs(p['d'] - q['d']) < 1e-6 and abs(p['rel'] - q['rel']) < 1e-6\n        ranked = [p for i, p in enumerate(ranked) if not any(twin(p, q) for q in ranked[:i])]\n    chosen, used = [], set()\n    for p in ranked:                  # prefer distinct mechanisms, then fill\n        if p['rule'] not in used and len(chosen) < 3:\n            chosen.append(p)\n            used.add(p['rule'])\n    for p in ranked:\n        if len(chosen) < 3 and p not in chosen:\n            chosen.append(p)\n    permutation = kit.place(dict(correct, rule='correct', reason='由表中全部原子坐标求和，|F|/F000 ≤ 1e-6。'),\n                            chosen, spec.get('target_position'), seed, spec['id'], key=lambda p: p['hkl'])\n    show = lambda hkl: '(%d %d %d)' % hkl\n    options = [dict(label=l, value=show(p['hkl'])) for l, p in zip(kit.LABELS, permutation)]\n    verdicts = [abs(factor(rows, p['hkl'], weights)) / f000 <= ZERO for p in permutation]\n    key = kit.validate_verdicts(options, verdicts)\n    if any(ZERO < abs(factor(rows, p['hkl'], weights)) / f000 < CLEAR for p in permutation):\n        raise ValueError('Ambiguous weak reflection among options')\n    audit = [dict(label=l, value=show(p['hkl']), rule=p['rule'], reason=p['reason'], is_correct=v,\n                  relative_amplitude=round(p['rel'], 8), mechanisms=p.get('all_mechanisms', []))\n             for l, p, v in zip(kit.LABELS, permutation, verdicts)]\n    shortcuts = {}\n    for rule in RULES:\n        predicted = [o['label'] for o, p in zip(options, permutation) if rule_absent(rule, p['hkl'])]\n        shortcuts[rule] = dict(predicted_absent=predicted, uniquely_correct=predicted == [key])\n    wlist = ', '.join('%s = %s' % kv for kv in sorted(weights.items()))\n    where = cell.describe() if general else 'one conventional cubic cell'\n    question = ('The table lists every atom of %s of %s as fractional coordinates. '\n                'Use the kinematic structure factor F(hkl) = Σ_j Z_j exp[2πi(h x_j + k y_j + l z_j)] with atomic numbers '\n                'as angle-independent weights (%s). Exactly one of the four reflections below has |F| = 0. Which one?') % (where, spec['name'], wlist)\n    return dict(\n        question=question,\n        scope=spec['scope'],\n        inputs=[dict(name=spec['id'] + '-cell.txt', format='fractional-cell-table', unit='fractional; a in angstrom', text=text)],\n        numeric=None,\n        options=options, correct_label=key, option_audit=audit,\n        excluded_candidates=[dict(hkl=show(p['hkl']), relative_amplitude=round(p['rel'], 6))\n                             for p in pool if ZERO < p['rel'] < CLEAR],\n        rank=None,\n        checks=dict(f000=f000, extinction_origin=correct_origin, zero_threshold=ZERO, clear_threshold=CLEAR, atoms=len(rows),\n                    **(dict(cell=cell.params) if general else dict(a_A=a)),\n                    extinct_pool=[show(p['hkl']) for p in zeros], rule_shortcuts=shortcuts,\n                    limits='零角度原子序数权重的运动学模型；不含原子散射因子角度依赖、热振动或多重散射。'),\n        scales=dict(input_nm=a / 10, reasoning_nm=a / 10,\n                    reasoning_definition='最长晶胞边长：相位求和跨越整个晶胞' if general else '晶胞边长 a：相位求和跨越整个晶胞'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/force_path.py": "\"\"\"Inference family: first-order energy change along a specified deformation path.\n\nPhysical relation supplied in the question: F_i = -dE/dr_i. Along the straight path\nr(lambda) = r_A + lambda (r_B - r_A), dE/dlambda at B = -sum_i F_i(B) . (r_B - r_A).\nGeometry is necessary: removing either structure removes the displacement.\nThis is a local directional derivative, never E(B) - E(A) or a stability claim.\n\"\"\"\nimport json\nimport math\nfrom decimal import Decimal, localcontext\nfrom . import kit\n\nVERSION = '0.1.0'\n\n\ndef force_table(elements, forces):\n    rows = ['%d %s %.6f %.6f %.6f' % (i + 1, e, *f) for i, (e, f) in enumerate(zip(elements, forces))]\n    return 'row element Fx Fy Fz (eV/angstrom), total PBE0+MBD force at B\\n' + '\\n'.join(rows) + '\\n'\n\n\ndef parse_forces(text, n):\n    rows = [line.split() for line in text.splitlines()[1:] if line.strip()]\n    if len(rows) != n or any(len(r) != 5 or int(r[0]) != i + 1 for i, r in enumerate(rows)):\n        raise ValueError('Force table rows do not match atoms')\n    return [r[1] for r in rows], [tuple(Decimal(x) for x in r[2:]) for r in rows]\n\n\ndef build(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    data = json.loads(raw)\n    if data['coordinate_unit'] != 'angstrom' or data['force_unit'] != 'eV/angstrom':\n        raise ValueError('Unsupported units')\n    a_text = kit.xyz_text(data['elements'], data['reference_xyz'], 'A: %s (DFTB3+MBD optimized reference), angstrom' % data['reference_id'])\n    b_text = kit.xyz_text(data['elements'], data['displaced_xyz'], 'B: %s (paired displaced structure), angstrom' % data['displaced_id'])\n    f_text = force_table(data['elements'], data['forces_at_displaced'])\n    ea, pa = kit.parse_xyz(a_text)\n    eb, pb = kit.parse_xyz(b_text)\n    ef, fd = parse_forces(f_text, len(pa))\n    if not ea == eb == ef:\n        raise ValueError('Atom order differs between A, B and forces')\n    with localcontext() as ctx:\n        ctx.prec = 40\n        da = [[Decimal(x) for x in line.split()[1:]] for line in a_text.splitlines()[2:]]\n        db = [[Decimal(x) for x in line.split()[1:]] for line in b_text.splitlines()[2:]]\n        delta = [[y - x for x, y in zip(r, s)] for r, s in zip(da, db)]\n        if not any(x for r in delta for x in r):\n            raise ValueError('Zero displacement')\n        s_exact = sum(f * d for fs, ds in zip(fd, delta) for f, d in zip(fs, ds))\n        heavy = sum(f * d for e, fs, ds in zip(ea, fd, delta) if e != 'H' for f, d in zip(fs, ds))\n        per_atom = [sum(f * d for f, d in zip(fs, ds)) for fs, ds in zip(fd, delta)]\n    fl = [[float(x) for x in r] for r in fd]\n    dl = [[float(x) for x in r] for r in delta]\n    s_float = math.fsum(f * d for fs, ds in zip(fl, dl) for f, d in zip(fs, ds))\n    if abs(s_float - float(s_exact)) > 1e-9:\n        raise ValueError('Float and decimal projections disagree')\n    # A_to_B: path from A, derivative at lambda = 1 (at B).  B_to_A: path from B toward A,\n    # derivative at lambda = 0 (also at B); reversing the direction flips the sign.\n    direction = spec.get('direction', 'A_to_B')\n    if direction not in ('A_to_B', 'B_to_A'):\n        raise ValueError('Unsupported path direction')\n    sign = 1 if direction == 'A_to_B' else -1\n    derivative = -s_exact * sign\n    candidates = [\n        dict(rule='sign_convention', value=-derivative, plausibility=3,\n             reason='把力当作能量梯度（漏掉 F = −∂E/∂r 的负号），或忽略题目给定的路径方向。'),\n        dict(rule='heavy_atoms_only', value=-heavy * sign, plausibility=2,\n             reason='只累加重原子，忽略氢原子的受力与位移。'),\n        dict(rule='trapezoid_energy_estimate', value=-s_exact * sign / 2, plausibility=2,\n             reason='按 A 处受力为零的梯形估计给出能量差，而题目问的是 B 处的导数。'),\n        dict(rule='abs_projection_sum', value=sum(abs(x) for x in per_atom), plausibility=2,\n             reason='逐原子取投影绝对值后相加，丢失相互抵消。'),\n        dict(rule='magnitude_product', value=math.fsum(kit.norm(f) * kit.norm(d) for f, d in zip(fl, dl)), plausibility=2,\n             reason='只乘力与位移的模长，忽略夹角。'),\n    ]\n    decimals, tol, sep = 4, '0.00005', '0.0500'\n    chosen, rejected, goal, rank = kit.choose_numeric(derivative, candidates, decimals=decimals, tolerance=tol,\n                                                      min_separation=sep, seed=seed, context=spec['id'], target=spec.get('target_position'))\n    options, audit = kit.label_numeric(derivative, chosen, decimals=decimals, unit='eV', seed=seed, context=spec['id'],\n                                       correct_reason='B 处沿给定路径方向的导数 = −Σ F_i(B)·(路径方向位移)；十进制与浮点实现一致。')\n    key = kit.validate_numeric(options, derivative, decimals=decimals, tolerance=tol, min_separation=sep, unit='eV')\n    path = ('r_i(λ) = r_i(A) + λ[r_i(B) − r_i(A)], what is dE/dλ at λ = 1 (that is, at B)' if sign > 0 else\n            'r_i(λ) = r_i(B) + λ[r_i(A) − r_i(B)], which starts at B and moves toward A, what is dE/dλ at λ = 0 (that is, at B)')\n    question = ('Structures A and B of the same molecule share atom order and one Cartesian frame (angstrom). '\n                'The table gives the total PBE0+MBD force on every atom at B (eV/angstrom), with F_i = −∂E/∂r_i. '\n                'Along the straight path %s, in eV? Do not realign, mass-weight or normalize the displacement.') % path\n    return dict(\n        question=question,\n        scope=spec['scope'],\n        inputs=[dict(name='A.xyz', format='xyz', unit='angstrom', text=a_text),\n                dict(name='B.xyz', format='xyz', unit='angstrom', text=b_text),\n                dict(name='forces_B.txt', format='force-table', unit='eV/angstrom', text=f_text)],\n        numeric=dict(value=kit.display(derivative, decimals), unit='eV', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=rank),\n        checks=dict(decimal_projection_S_eV=str(s_exact), float_projection_S_eV=s_float,\n                    derivative_eV=str(derivative), direction=direction, atom_order_consistent=True,\n                    source_ids=[data['reference_id'], data['displaced_id']], force_key=data['force_key'],\n                    limits='局部方向导数，不是 E(B)−E(A)，也不证明 A 是 PBE0+MBD 极小点。'),\n        scales=dict(input_nm=kit.dmax(pb) / 10, reasoning_nm=kit.dmax(pb) / 10,\n                    reasoning_definition='全部原子参与：B 的最大原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/hbond.py": "\"\"\"Hydrogen-bond geometry (chemistry C2c, intramolecular interactions; 0.1-1 nm).\n\nhbond_geometry (perception): one named donor-H...acceptor contact in a supplied conformer; ask the donor-acceptor\n    distance, the H...acceptor distance, or the D-H...A angle at H. Distractors are the usual mix-ups (H...A for D...A,\n    the covalent D-H bond, a straight-line D-H-A path, the angle taken at the donor or at the acceptor).\nhbond_criteria (inference): four candidate contacts (each named by its atoms and conformer); stated geometric criteria\n    (H...A <= d_max and D-H...A >= angle_min, vertex at H); exactly one contact meets both. Wrong options record why\n    each fails, including the classic trap: donor and acceptor close together while the H points away.\nAtoms are named chemically (task_families/chem_names.py); the D-H bond and the absence of an H-A bond are checked with\nthe covalent-radius rule. Coordinates are copied unchanged from the source assets.\n\"\"\"\nimport math\nfrom . import kit, chem_names\n\nVERSION = '0.1.0'\nQUANTITY = {'da': 'donor–acceptor distance {D}···{A}', 'ha': 'hydrogen–acceptor distance {H}···{A}',\n            'angle': '{D}–{H}···{A} angle at the hydrogen {H}'}\nMARGIN_A, MARGIN_DEG = 0.10, 5.0      # every candidate must clear or miss each criterion by at least this much\n\n\ndef load(root, asset, charge=0):\n    path = root / 'docs' / asset\n    raw = path.read_bytes()\n    text = raw.decode('utf-8-sig')\n    elements, points = kit.parse_xyz(text)\n    return path, raw, text, elements, points, kit.bond_graph(elements, points), chem_names.Molecule(elements, points, charge)\n\n\ndef contact(elements, points, edges, d, h, a):\n    \"\"\"Validated geometry of D-H...A (0-based rows).\"\"\"\n    if elements[h] != 'H' or elements[d] not in ('N', 'O') or elements[a] not in ('N', 'O', 'F') or a == d:\n        raise ValueError('Contact must be N/O-H...N/O/F')\n    if (min(d, h), max(d, h)) not in edges:\n        raise ValueError('Donor and hydrogen are not covalently bonded')\n    if (min(a, h), max(a, h)) in edges:\n        raise ValueError('Hydrogen is covalently bonded to the acceptor')\n    return dict(da=math.dist(points[d], points[a]), ha=math.dist(points[h], points[a]),\n                angle=kit.angle_acos(points[d], points[h], points[a]), dh=math.dist(points[d], points[h]))\n\n\ndef label(elements, i):\n    return '%s%d' % (elements[i], i + 1)\n\n\ndef build_geometry(spec, root, seed):\n    path, raw, text, elements, points, edges, names = load(root, spec['asset'], spec.get('charge', 0))\n    d, h, a = (x - 1 for x in spec['contact'])\n    g = contact(elements, points, edges, d, h, a)\n    q = spec['quantity']\n    D, H, A = label(elements, d), label(elements, h), label(elements, a)\n    others = [j for j in range(len(elements)) if elements[j] in ('N', 'O') and j not in (d, a)]\n    if q == 'da':\n        value, decimals, tol, sep, unit = g['da'], 3, '0.0005', '0.030', 'angstrom'\n        cands = [dict(rule='h_acceptor_instead', value=g['ha'], plausibility=3, reason='量成 H···A 距离，而不是给体与受体两个重原子之间的距离。'),\n                 dict(rule='path_through_h', value=g['dh'] + g['ha'], plausibility=2, reason='沿 D–H 与 H···A 两段折线相加，当成给体–受体距离。'),\n                 dict(rule='covalent_d_h', value=g['dh'], plausibility=1, reason='量成给体与氢之间的共价键长。')]\n        cands += [dict(rule='other_acceptor:%s' % label(elements, j), value=math.dist(points[d], points[j]), plausibility=2,\n                       reason='量到了另一个杂原子 %s（不是题目指定的受体）。' % label(elements, j)) for j in others]\n    elif q == 'ha':\n        value, decimals, tol, sep, unit = g['ha'], 3, '0.0005', '0.030', 'angstrom'\n        cands = [dict(rule='donor_acceptor_instead', value=g['da'], plausibility=3, reason='量成给体与受体重原子之间的距离，而不是 H···A。'),\n                 dict(rule='linear_assumption', value=g['da'] - g['dh'], plausibility=2, reason='假设氢键是直线：用 D···A 减去 D–H 键长。'),\n                 dict(rule='covalent_d_h', value=g['dh'], plausibility=1, reason='量成给体与氢之间的共价键长。')]\n        cands += [dict(rule='other_acceptor:%s' % label(elements, j), value=math.dist(points[h], points[j]), plausibility=2,\n                       reason='量到了另一个杂原子 %s（不是题目指定的受体）。' % label(elements, j)) for j in others]\n    elif q == 'angle':\n        value, decimals, tol, sep, unit = g['angle'], 1, '0.05', '3.0', 'degree'\n        cands = [dict(rule='angle_at_donor', value=kit.angle_acos(points[h], points[d], points[a]), plausibility=3,\n                      reason='把顶点放在给体 %s 上（H–D···A 角），而不是氢上。' % D),\n                 dict(rule='angle_at_acceptor', value=kit.angle_acos(points[d], points[a], points[h]), plausibility=2,\n                      reason='把顶点放在受体 %s 上。' % A),\n                 dict(rule='supplement', value=180 - g['angle'], plausibility=2, reason='取了补角（180° − θ），把偏离直线的角度当成氢键角。')]\n        for x in kit.neighbors(edges, a):\n            cands.append(dict(rule='acceptor_side:%s' % label(elements, x), value=kit.angle_acos(points[h], points[a], points[x]),\n                              plausibility=2, reason='量成受体一侧的 H···%s–%s 角。' % (A, label(elements, x))))\n    else:\n        raise ValueError('Unknown quantity')\n    lower, upper = (0, 180) if q == 'angle' else (0, None)\n    chosen, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=lower, upper=upper, target=spec.get('target_position'))\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(value, chosen, decimals=decimals, unit=unit, seed=seed, context=spec['id'],\n                                       correct_reason='按指定原子直接计算；成键关系由共价半径规则确认。')\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit)\n    what = QUANTITY[q].format(D=D, H=H, A=A)\n    question = ('%s In this conformer, %s, is covalently bonded to %s, and %s, is the candidate hydrogen-bond acceptor (rows %d, %d and %d, '\n                'counted from 1 after the two XYZ header lines). What is the %s?' % (\n                    spec['context'], names.atom(d), H, names.atom(a), d + 1, h + 1, a + 1, what))\n    return dict(\n        question=question, scope=spec['scope'], inputs=[dict(name=path.name, format='xyz', unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(contact='%s–%s···%s' % (D, H, A), d_a=g['da'], h_a=g['ha'], angle_deg=g['angle'], d_h=g['dh'],\n                    donor_h_bonded=True, h_acceptor_bonded=False,\n                    limits='单一计算构象；只测几何量，不据此单独判定氢键强弱或能量。'),\n        scales=dict(input_nm=kit.dmax(points) / 10, reasoning_nm=max(g['da'], g['ha']) / 10, reasoning_definition='给体–受体或氢–受体距离'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n\ndef build_criteria(spec, root, seed):\n    dmax, amin = float(spec['ha_max']), float(spec['angle_min'])\n    conformers, inputs, hashes = {}, [], {}\n    for c in spec['conformers']:\n        path, raw, text, elements, points, edges, names = load(root, c['asset'], spec.get('charge', 0))\n        conformers[c['label']] = (elements, points, edges, names)\n        inputs.append(dict(name='conformer_%s.xyz' % c['label'], format='xyz', unit='angstrom', text=text))\n        hashes[c['asset']] = kit.sha256(raw)\n    rows = []\n    for k in spec['candidates']:\n        elements, points, edges, names = conformers[k['conformer']]\n        d, h, a = (x - 1 for x in k['contact'])\n        g = contact(elements, points, edges, d, h, a)\n        ok_d, ok_a = g['ha'] <= dmax, g['angle'] >= amin\n        if abs(g['ha'] - dmax) < MARGIN_A or abs(g['angle'] - amin) < MARGIN_DEG:\n            raise ValueError('A candidate sits too close to a criterion threshold')\n        text = '%s–%s···%s in conformer %s' % (label(elements, d), label(elements, h), label(elements, a), k['conformer'])\n        rows.append(dict(text=text, ok=ok_d and ok_a, ok_d=ok_d, ok_a=ok_a, **g,\n                         roles='%s → %s' % (names.names[d], names.names[a])))\n    winners = [r for r in rows if r['ok']]\n    if len(winners) != 1:\n        raise ValueError('Exactly one candidate must meet both criteria')\n    others = []\n    for r in rows:\n        if r['ok']:\n            continue\n        if r['ok_d'] and not r['ok_a']:\n            others.append(('distance_only', r['text'], 'H···A %.2f Å 满足距离，但角度 %.1f° 小于 %.0f°。' % (r['ha'], r['angle'], amin), 3))\n        elif r['ok_a'] and not r['ok_d']:\n            others.append(('angle_only', r['text'], '角度 %.1f° 满足，但 H···A %.2f Å 大于 %.1f Å。' % (r['angle'], r['ha'], dmax), 3))\n        elif r['da'] <= 3.0:\n            others.append(('donor_acceptor_close', r['text'], '给体与受体只相距 %.2f Å，但 H···A %.2f Å、角度 %.1f°：氢没有指向受体（只看重原子距离会误选）。'\n                           % (r['da'], r['ha'], r['angle']), 3))\n        else:\n            others.append(('neither', r['text'], 'H···A %.2f Å、角度 %.1f°，两项都不满足。' % (r['ha'], r['angle']), 1))\n    w = winners[0]\n    order = kit.place(('correct', w['text'], 'H···A %.2f Å ≤ %.1f Å，角度 %.1f° ≥ %.0f°，两项都满足。' % (w['ha'], dmax, w['angle'], amin), 3),\n                      others, spec.get('target_position'), seed, spec['id'], key=lambda x: x[1])\n    options = [dict(label=l, value=x[1]) for l, x in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [x[0] == 'correct' for x in order])\n    audit = [dict(label=l, value=x[1], rule=x[0], reason=x[2], is_correct=x[0] == 'correct') for l, x in zip(kit.LABELS, order)]\n    files = ', '.join('conformer %s = conformer_%s.xyz' % (c['label'], c['label']) for c in spec['conformers'])\n    question = ('%s Attached: %s (atoms are numbered by XYZ row, counted from 1 after the two header lines; numbering differs between '\n                'conformers). Use these geometric criteria for an intramolecular hydrogen bond D–H···A: H···A distance ≤ %.1f Å and '\n                'D–H···A angle ≥ %.0f° (vertex at H). These are task criteria, not a universal definition. Which of the four candidate '\n                'contacts meets both criteria?' % (spec['context'], files, dmax, amin))\n    span = max(max(r['da'], r['ha']) for r in rows) / 10\n    return dict(\n        question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key, option_audit=audit,\n        excluded_candidates=[], rank=None,\n        checks=dict(candidates=[{k: r[k] for k in ('text', 'ha', 'angle', 'da', 'ok', 'roles')} for r in rows], ha_max=dmax, angle_min=amin,\n                    margins=dict(distance_A=MARGIN_A, angle_deg=MARGIN_DEG),\n                    limits='几何判据是题设的操作定义；不据此判断氢键能量或光谱位移。'),\n        scales=dict(input_nm=span, reasoning_nm=span, reasoning_definition='候选接触中最大的给体–受体或氢–受体距离'),\n        input_hashes=hashes)\n",
  "task_families/hostguest.py": "\"\"\"Host-guest binding with measured evidence (chemistry, 1-10 nm): SAMPL9 WP6.\n\nThe model receives the WP6 host and four candidate guests as 3D structures; the answer comes from the\nmeasured ITC binding free energies (SAMPL9 experimental table, transcribed in WP6-binding.json), not from\na calculation. This is the evidence route of roadmap A2 (inference) and A3 (design with experimental\nevidence): every candidate has a measured value, the winner must lead clearly (policy margin), and each\ndistractor carries its measured value as the reason.\n\"\"\"\nimport json\nfrom . import kit\n\nVERSION = '0.1.0'\nEVIDENCE = 'assets/families/hostguest/WP6-binding.json'\nMARGIN = 0.8          # kcal/mol between the best and the second candidate (about 20x the ITC uncertainties here)\nTHRESHOLD_GAP = 0.3   # kcal/mol: no candidate may sit this close to a design threshold\n\nCONTEXT = ('The files give the SAMPL9 WP6 host (a carboxylated pillar[6]arene; host file shown with 12 carboxylates) and four candidate '\n           'guests as 3D structures (XYZ, angstrom). Binding to WP6 was measured by isothermal titration calorimetry in 1× PBS at '\n           'pH 7.40 and 298.15 K; all complexes are 1:1.')\n\n\ndef load(root):\n    raw = (root / 'docs' / EVIDENCE).read_bytes()\n    return json.loads(raw.decode('utf-8')), kit.sha256(raw)\n\n\ndef inputs_for(root, evidence, guests):\n    inputs, hashes = [], {}\n    host = (root / 'docs' / evidence['host']).read_bytes()\n    inputs.append(dict(name=evidence['host'].rsplit('/', 1)[1], format='xyz', unit='angstrom', text=host.decode('utf-8')))\n    hashes[evidence['host']] = kit.sha256(host)\n    for g in guests:\n        path = evidence['guests'][g]['asset']\n        raw = (root / 'docs' / path).read_bytes()\n        inputs.append(dict(name=path.rsplit('/', 1)[1], format='xyz', unit='angstrom', text=raw.decode('utf-8')))\n        hashes[path] = kit.sha256(raw)\n    return inputs, hashes, kit.dmax(kit.parse_xyz(host.decode('utf-8'))[1]) / 10\n\n\ndef label(evidence, g):\n    return '%s: %s (WP6-%s.xyz)' % (g, evidence['guests'][g]['name'], g)\n\n\ndef finish(spec, root, seed, question, correct, others, reason, evidence, digest, checks):\n    order = kit.place(('correct', label(evidence, correct), reason, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    guests = spec['guests']\n    inputs, hashes, host_nm = inputs_for(root, evidence, guests)\n    hashes[EVIDENCE] = digest\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(checks, evidence_source=evidence['source'], conditions=evidence['conditions'],\n                            limits='答案来自实测 ΔG（证据在审核侧，不给考生）；几何结构只是候选的呈现，不能单凭几何算出答案。'),\n                scales=dict(input_nm=host_nm, reasoning_nm=host_nm, reasoning_definition='主体 WP6 的最大原子间距（主客体复合物尺度）'),\n                input_hashes=hashes)\n\n\ndef build_evidence(spec, root, seed):\n    evidence, digest = load(root)\n    dg = {g: evidence['guests'][g]['DG_kcal_mol'] for g in spec['guests']}\n    ranked = sorted(dg, key=dg.get)\n    best, second = ranked[0], ranked[1]\n    if dg[second] - dg[best] < MARGIN:\n        raise ValueError('Measured winner does not lead by the policy margin')\n    charge = lambda g: evidence['guests'][g]['smiles'].count('+]')\n    others = []\n    for g in ranked[1:]:\n        rule = 'next_strongest' if g == second else ('dication_but_weaker' if charge(g) >= 2 else 'weaker_binder')\n        why = {'next_strongest': '实测 ΔG = %.2f kcal/mol，次强，比最强弱 %.2f。',\n               'dication_but_weaker': '虽为双阳离子，实测 ΔG = %.2f kcal/mol，比最强弱 %.2f（仅凭电荷判断会误选）。',\n               'weaker_binder': '实测 ΔG = %.2f kcal/mol，比最强弱 %.2f。'}[rule] % (dg[g], dg[g] - dg[best])\n        others.append((rule, label(evidence, g), why, 3 if rule != 'weaker_binder' else 2))\n    question = ('%s Which guest binds WP6 most strongly, i.e. has the most negative measured binding free energy?' % CONTEXT)\n    return finish(spec, root, seed, question, best, others, '实测 ΔG = %.2f ± %.2f kcal/mol，最负；领先 %.2f。'\n                  % (dg[best], evidence['guests'][best]['dDG'], dg[second] - dg[best]), evidence, digest,\n                  dict(measured_DG=dg, margin_kcal_mol=dg[second] - dg[best], policy_margin=MARGIN))\n\n\ndef build_design(spec, root, seed):\n    evidence, digest = load(root)\n    ref, gain = spec['reference'], spec['gain']\n    dg0 = evidence['guests'][ref]['DG_kcal_mol']\n    dg = {g: evidence['guests'][g]['DG_kcal_mol'] for g in spec['guests']}\n    improvement = {g: dg0 - dg[g] for g in dg}\n    ok = [g for g in dg if improvement[g] >= gain]\n    if len(ok) != 1 or ref in dg:\n        raise ValueError('Exactly one candidate must meet the target and the reference must not be a candidate')\n    if any(abs(improvement[g] - gain) < THRESHOLD_GAP for g in dg):\n        raise ValueError('A candidate sits too close to the design threshold')\n    others = []\n    charge = lambda g: evidence['guests'][g]['smiles'].count('+]')\n    for g in dg:\n        if g == ok[0]:\n            continue\n        if charge(g) >= 2:\n            others.append(('dication_not_sufficient', label(evidence, g), '双阳离子（仅凭电荷会以为结合更强），实测 ΔG = %.2f，变化 %+.2f kcal/mol，未达 %.1f。'\n                           % (dg[g], improvement[g], gain), 3))\n        elif improvement[g] > 0:\n            others.append(('improves_but_below_target', label(evidence, g), '实测 ΔG = %.2f，只改善 %.2f kcal/mol，未达 %.1f。' % (dg[g], improvement[g], gain), 3))\n        else:\n            others.append(('weakens_binding', label(evidence, g), '实测 ΔG = %.2f，反而减弱 %.2f kcal/mol。' % (dg[g], -improvement[g]), 2))\n    name = evidence['guests'][ref]['name']\n    question = ('%s You start from guest %s (%s), whose measured binding free energy to WP6 under these conditions is %.2f kcal/mol, and '\n                'want a replacement guest that binds WP6 at least %.1f kcal/mol more strongly (measured ΔG ≤ %.2f kcal/mol). Exactly one of '\n                'the four candidates achieves this in the measured data. Which one?' % (CONTEXT, ref, name, dg0, gain, dg0 - gain))\n    return finish(spec, root, seed, question, ok[0], others, '实测 ΔG = %.2f，改善 %.2f kcal/mol，达到目标。' % (dg[ok[0]], improvement[ok[0]]),\n                  evidence, digest, dict(reference=ref, reference_DG=dg0, target_gain=gain, measured_DG=dg, improvement=improvement,\n                                         design_note='设计选择：四个候选均有实测值，恰好一个达到目标。'))\n",
  "task_families/kit.py": "\"\"\"Shared mechanics for reusable task families: parsing, geometry kernels, rounding,\ndistractor selection, four-option validation and scoring. No model/API calls.\n\nFamilies supply the science (what is asked, how the answer is computed, which\nerror mechanisms produce distractors); this module supplies the common checks so\nthat every family is validated the same way.\n\"\"\"\nimport hashlib\nimport itertools\nimport math\nfrom decimal import Decimal, ROUND_HALF_UP\n\nLABELS = 'ABCD'\nELEMENTS = {'H', 'C', 'N', 'O', 'S', 'Cl', 'P', 'F', 'Zn', 'Si', 'Na', 'Mg', 'Cs', 'Br', 'I', 'Au', 'Cd', 'Se'}\nCOVALENT = {'H': 0.31, 'C': 0.76, 'N': 0.71, 'O': 0.66, 'S': 1.05, 'Cl': 1.02, 'P': 1.07,\n            'F': 0.57, 'Zn': 1.22, 'Si': 1.11, 'Br': 1.20, 'I': 1.39}\n\n\ndef sha256(data):\n    return hashlib.sha256(data if isinstance(data, bytes) else data.encode('utf-8')).hexdigest()\n\n\ndef parse_xyz(text, max_atoms=5000):\n    \"\"\"Strict XYZ: count line, comment line, exactly count rows of element x y z.\"\"\"\n    lines = text.splitlines()\n    if len(lines) < 3:\n        raise ValueError('XYZ requires count, comment and atom rows')\n    try:\n        n = int(lines[0].strip())\n    except ValueError:\n        raise ValueError('Invalid XYZ count')\n    rows = [line.split() for line in lines[2:] if line.strip()]\n    if n < 1 or n > max_atoms or len(rows) != n:\n        raise ValueError('Atom count does not match rows')\n    elements, points = [], []\n    for row in rows:\n        symbol = row[0].capitalize() if len(row) == 4 else ''   # e.g. PDB-style 'CL' -> 'Cl'\n        if symbol not in ELEMENTS:\n            raise ValueError('Expected known element and three coordinates')\n        point = tuple(float(v) for v in row[1:])\n        if not all(math.isfinite(v) for v in point):\n            raise ValueError('Nonfinite coordinate')\n        elements.append(symbol)\n        points.append(point)\n    return elements, points\n\n\ndef xyz_text(elements, points, comment):\n    rows = ['%s %.8f %.8f %.8f' % (e, *p) for e, p in zip(elements, points)]\n    return '\\n'.join([str(len(rows)), comment] + rows) + '\\n'\n\n\ndef sub(a, b):\n    return [x - y for x, y in zip(a, b)]\n\n\ndef dot(a, b):\n    return math.fsum(x * y for x, y in zip(a, b))\n\n\ndef cross(a, b):\n    return [a[1]*b[2]-a[2]*b[1], a[2]*b[0]-a[0]*b[2], a[0]*b[1]-a[1]*b[0]]\n\n\ndef norm(a):\n    return math.sqrt(dot(a, a))\n\n\ndef angle_acos(a, vertex, b):\n    u, v = sub(a, vertex), sub(b, vertex)\n    return math.degrees(math.acos(max(-1.0, min(1.0, dot(u, v) / (norm(u) * norm(v))))))\n\n\ndef angle_atan2(a, vertex, b):\n    \"\"\"Second implementation (atan2 of |u x v| and u.v), used as a cross-check.\"\"\"\n    u, v = sub(a, vertex), sub(b, vertex)\n    return math.degrees(math.atan2(norm(cross(u, v)), dot(u, v)))\n\n\ndef dihedral_normals(p0, p1, p2, p3):\n    \"\"\"IUPAC signed torsion via plane normals, range (-180, 180].\"\"\"\n    b1, b2, b3 = sub(p1, p0), sub(p2, p1), sub(p3, p2)\n    n1, n2 = cross(b1, b2), cross(b2, b3)\n    return math.degrees(math.atan2(norm(b2) * dot(b1, n2), dot(n1, n2)))\n\n\ndef dihedral_projection(p0, p1, p2, p3):\n    \"\"\"Second implementation: project outer bonds onto the plane normal to the axis.\"\"\"\n    b0, b1, b2 = sub(p0, p1), sub(p2, p1), sub(p3, p2)\n    axis = [x / norm(b1) for x in b1]\n    v = [x - dot(b0, axis) * y for x, y in zip(b0, axis)]\n    w = [x - dot(b2, axis) * y for x, y in zip(b2, axis)]\n    return math.degrees(math.atan2(dot(cross(axis, v), w), dot(v, w)))\n\n\ndef bond_graph(elements, points, scale=1.2):\n    \"\"\"Covalent-radius connectivity; an operational rule, stated in audits.\"\"\"\n    edges = set()\n    for i, j in itertools.combinations(range(len(points)), 2):\n        limit = scale * (COVALENT[elements[i]] + COVALENT[elements[j]])\n        if math.dist(points[i], points[j]) <= limit:\n            edges.add((i, j))\n    return edges\n\n\ndef neighbors(edges, i):\n    return sorted({b if a == i else a for a, b in edges if i in (a, b)})\n\n\ndef dmax(points):\n    return max((math.dist(a, b) for a, b in itertools.combinations(points, 2)), default=0.0)\n\n\ndef display(value, decimals):\n    quantum = Decimal(1).scaleb(-decimals)\n    return str(Decimal(str(value)).quantize(quantum, rounding=ROUND_HALF_UP))\n\n\ndef digest(*parts):\n    return hashlib.sha256('|'.join(map(str, parts)).encode('utf-8')).digest()\n\n\ndef ordered(items, seed, context, key=lambda x: x[0]):\n    \"\"\"Version-independent deterministic permutation keyed by seed and context.\"\"\"\n    return sorted(items, key=lambda x: digest(seed, context, key(x)))\n\n\ndef target_rank(seed, context):\n    return 1 + digest(seed, context, 'rank')[0] % 4\n\n\ndef gap(a, b, period=None):\n    \"\"\"Absolute difference; for periodic quantities (torsions) the circular distance.\"\"\"\n    d = abs(a - b)\n    if period is not None:\n        period = Decimal(str(period))\n        d = min(d % period, period - d % period)\n    return d\n\n\ndef choose_numeric(correct, candidates, *, decimals, tolerance, min_separation, seed, context,\n                   lower=None, upper=None, period=None, target=None, distractor_separation=None):\n    \"\"\"Pick three misconception distractors.\n\n    candidates: dicts with rule, value, reason and plausibility (1 low .. 3 high).\n    Among all valid triples (pairwise separated by more than min_separation and\n    from the correct value) prefer the one whose correct-answer numeric rank equals\n    a target rank (assigned per batch by the engine, else seeded), so that \"always\n    pick largest/smallest\" does not work, then the most plausible mechanisms.\n    min_separation applies to the correct value; distractor_separation (default the\n    same) only keeps wrong options visibly distinct from each other.\n    Returns (chosen, rejected, target, achieved rank).\n    \"\"\"\n    tolerance, min_separation = Decimal(str(tolerance)), Decimal(str(min_separation))\n    between = Decimal(str(distractor_separation)) if distractor_separation is not None else min_separation\n    if between <= 2 * tolerance:\n        raise ValueError('Distractors must not share tolerance intervals')\n    if min_separation < 2 * tolerance:\n        raise ValueError('Separation must exceed both tolerance intervals')\n    right = Decimal(display(correct, decimals))\n    valid, rejected = [], []\n    for c in candidates:\n        value = c['value']\n        if value is None or not math.isfinite(float(value)):\n            rejected.append(dict(rule=c['rule'], value=None, reason='not defined for this input'))\n            continue\n        shown = Decimal(display(value, decimals))\n        if (lower is not None and shown < Decimal(str(lower))) or (upper is not None and shown > Decimal(str(upper))):\n            rejected.append(dict(rule=c['rule'], value=str(shown), reason='outside the defined value range'))\n        elif gap(shown, right, period) <= min_separation:\n            rejected.append(dict(rule=c['rule'], value=str(shown), reason='too close to the correct value'))\n        else:\n            valid.append(dict(c, shown=shown))\n    best = None\n    goal = target if target is not None else target_rank(seed, context)\n    for combo in itertools.combinations(valid, 3):\n        values = [x['shown'] for x in combo]\n        if any(gap(a, b, period) <= between for a, b in itertools.combinations(values, 2)):\n            continue\n        rank = 1 + sum(v < right for v in values)\n        weak = sum(x.get('plausibility', 1) <= 1 for x in combo)   # easily dismissed option: worse than any rank miss\n        mirror = right != 0 and any(x['shown'] == -right for x in combo)   # a '+/-' pair cue\n        score = (abs(rank - goal) + 4 * weak + int(mirror), -sum(x.get('plausibility', 1) for x in combo),\n                 digest(seed, context, *sorted(x['rule'] for x in combo)))\n        if best is None or score < best[0]:\n            best = (score, combo, rank)\n    if best is None:\n        raise ValueError('Fewer than three separated misconception distractors')\n    chosen = list(best[1])\n    names = {x['rule'] for x in chosen}\n    for x in valid:\n        if x['rule'] not in names:\n            rejected.append(dict(rule=x['rule'], value=str(x['shown']), reason='valid but not selected (rank balance / plausibility)'))\n    return chosen, rejected, goal, best[2]\n\n\ndef require_rank(spec, goal, rank):\n    \"\"\"Enumerated specs may set strict_rank: when plausible mistakes lie mostly on one side of the answer, the nearest\n    reachable rank piles answers onto a few positions (enumeration probes runs/enum-v18, v24). Strict specs are rejected\n    instead, so accepted instances keep the batch's position balance.\"\"\"\n    if spec.get('strict_rank') and rank != goal:\n        raise ValueError('Target answer rank not reachable with plausible distractors')\n\n\ndef label_numeric(correct, chosen, *, decimals, unit, seed, context, correct_reason):\n    \"\"\"Options in ascending numeric order, so label position equals numeric rank;\n    the balanced target rank therefore also balances answer positions.\"\"\"\n    entries = [('correct', display(correct, decimals), correct_reason)] +               [(x['rule'], str(x['shown']), x['reason']) for x in chosen]\n    permutation = sorted(entries, key=lambda e: Decimal(e[1]))\n    options = [{'label': l, 'value': v, 'unit': unit} for l, (_, v, _) in zip(LABELS, permutation)]\n    audit = [{'label': l, 'rule': r, 'value': v, 'reason': why, 'is_correct': r == 'correct',\n              'absolute_error': str(abs(Decimal(v) - Decimal(str(correct))))}\n             for l, (r, v, why) in zip(LABELS, permutation)]\n    return options, audit\n\n\ndef label_circular(correct, chosen, *, decimals, unit, target, correct_reason):\n    \"\"\"Periodic quantities (angles): options in ascending order around the circle, starting from a cut chosen so that\n    the correct option sits at the batch target position. A circle has no smallest value; a fixed cut at -180 deg tied\n    the answer position to the data (most backbone torsions are negative, so answers piled up at A/B; probe\n    runs/enum-v12). The cut carries no information: it is set by the target, which is independent of the answer.\"\"\"\n    options, audit = label_numeric(correct, chosen, decimals=decimals, unit=unit, seed=None, context=None,\n                                   correct_reason=correct_reason)\n    shift = (next(i for i, a in enumerate(audit) if a['is_correct']) - (target - 1)) % 4\n    order = audit[shift:] + audit[:shift]\n    return ([{'label': l, 'value': a['value'], 'unit': unit} for l, a in zip(LABELS, order)],\n            [dict(a, label=l) for l, a in zip(LABELS, order)])\n\n\ndef place(correct, others, target, seed, context, key):\n    \"\"\"Categorical options: others in seeded order, correct inserted at the target index.\"\"\"\n    rest = ordered(list(others), seed, context + '/labels', key=key)\n    index = (target - 1) if target is not None else target_rank(seed, context) - 1\n    return rest[:index] + [correct] + rest[index:]\n\n\ndef validate_numeric(options, expected, *, decimals, tolerance, min_separation, unit, period=None,\n                     distractor_separation=None):\n    if len(options) != 4 or [o['label'] for o in options] != list(LABELS):\n        raise ValueError('Exactly A/B/C/D required')\n    values = [Decimal(o['value']) for o in options]\n    if any(o['unit'] != unit or not v.is_finite() or o['value'] != display(v, decimals) for o, v in zip(options, values)):\n        raise ValueError('Invalid unit, value or precision')\n    between = Decimal(str(distractor_separation if distractor_separation is not None else min_separation))\n    if any(gap(a, b, period) <= between for a, b in itertools.combinations(values, 2)):\n        raise ValueError('Options not separated')\n    hits = [o['label'] for o, v in zip(options, values) if gap(v, Decimal(str(expected)), period) <= Decimal(str(tolerance))]\n    if len(hits) != 1:\n        raise ValueError('Not exactly one correct option')\n    right = values[[o['label'] for o in options].index(hits[0])]\n    if any(gap(v, right, period) <= Decimal(str(min_separation)) for v in values if v is not right):\n        raise ValueError('A distractor is too close to the correct value')\n    return hits[0]\n\n\ndef validate_verdicts(options, verdicts, key=lambda o: o['value']):\n    \"\"\"Categorical options: all four verified by the family checker, exactly one true.\"\"\"\n    if len(options) != 4 or [o['label'] for o in options] != list(LABELS):\n        raise ValueError('Exactly A/B/C/D required')\n    if len({repr(key(o)) for o in options}) != 4:\n        raise ValueError('Duplicate options')\n    if len(verdicts) != 4 or any(v not in (True, False) for v in verdicts):\n        raise ValueError('Every option needs a verified verdict')\n    hits = [o['label'] for o, v in zip(options, verdicts) if v]\n    if len(hits) != 1:\n        raise ValueError('Not exactly one correct option')\n    return hits[0]\n\n\ndef score_choice(response, correct):\n    if correct not in LABELS or len(correct) != 1:\n        raise ValueError('Invalid answer key')\n    return isinstance(response, str) and response.strip().upper() == correct\n\n\ndef score_numeric(response, expected, tolerance, unit):\n    if not isinstance(response, dict) or set(response) != {'value', 'unit'}:\n        return False\n    value = response['value']\n    if type(value) not in (int, float) or response['unit'] != unit or not math.isfinite(value):\n        return False\n    return abs(Decimal(str(value)) - Decimal(str(expected))) <= Decimal(str(tolerance))\n\n\ndef mirror_pair_cue(option_values, correct_label):\n    \"\"\"True when the correct value's negation is also an option (a test-wise cue).\"\"\"\n    values = dict(option_values)\n    right = Decimal(values[correct_label])\n    return right != 0 and any(Decimal(v) == -right for l, v in option_values if l != correct_label)\n\n\ndef rank_shortcuts(option_values, correct_label):\n    \"\"\"Option-only baselines: which label would 'largest', 'smallest', 'second' pick.\"\"\"\n    order = sorted(option_values, key=lambda x: Decimal(x[1]))\n    picks = {'always_smallest': order[0][0], 'always_second': order[1][0],\n             'always_third': order[2][0], 'always_largest': order[3][0]}\n    return {k: v == correct_label for k, v in picks.items()}\n",
  "task_families/local_geometry.py": "\"\"\"Perception families on named local geometry: bond angle and protein backbone torsion.\n\nChemical identity (which atoms, which linkage) is part of the template input and\nis checked against connectivity; the model never receives arbitrary row pairs.\n\"\"\"\nimport math\nfrom pathlib import Path\nfrom . import kit\n\nVERSION = '0.2.0'\n\n\ndef _angle_candidates(elements, points, edges, a, v, b, names, ideal):\n    \"\"\"Error mechanisms for an A-V-B bond angle.\"\"\"\n    theta = kit.angle_acos(points[a], points[v], points[b])\n    label = lambda i: '%s(row %d)' % (elements[i], i + 1)\n    out = [dict(rule='supplement', value=180 - theta, plausibility=1,\n                reason='用 180°−θ：把其中一根键矢量方向取反（从顶点指出的方向写反）。'),\n           dict(rule='triangle_angle_at_first_atom', value=kit.angle_acos(points[v], points[a], points[b]), plausibility=1,\n                reason='把三角形 %s–%s–%s 的顶点错放在 %s 上。' % (names[0], names[1], names[2], names[0]))]\n    if ideal:\n        out.append(dict(rule='idealized_value', value=ideal['value'], plausibility=3,\n                        reason='直接套用理想杂化角 %s（%s），没有测量这一构象。' % (ideal['value'], ideal['basis'])))\n    for x in kit.neighbors(edges, v):\n        if x in (a, b):\n            continue\n        out.append(dict(rule='other_neighbor:%s-%s-%s' % (names[0], names[1], label(x)),\n                        value=kit.angle_acos(points[a], points[v], points[x]), plausibility=3,\n                        reason='顶点正确，但另一端选成与 %s 相连的 %s。' % (names[1], label(x))))\n        out.append(dict(rule='other_neighbor:%s-%s-%s' % (label(x), names[1], names[2]),\n                        value=kit.angle_acos(points[x], points[v], points[b]), plausibility=3,\n                        reason='顶点正确，但一端选成与 %s 相连的 %s。' % (names[1], label(x))))\n    for end, other, name in ((a, b, names[0]), (b, a, names[2])):\n        for y in kit.neighbors(edges, end):\n            if y == v:\n                continue\n            out.append(dict(rule='angle_at_adjacent_atom:%s-%s-%s' % (names[1], name, label(y)),\n                            value=kit.angle_acos(points[v], points[end], points[y]), plausibility=2,\n                            reason='测成相邻原子 %s 处的键角，而非题目指定的顶点 %s。' % (name, names[1])))\n    return theta, out\n\n\ndef build_bond_angle(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    text = raw.decode('utf-8-sig')\n    elements, points = kit.parse_xyz(text)\n    a, v, b = [x['row'] - 1 for x in spec['atoms']]\n    names = [x['name'] for x in spec['atoms']]\n    for x, idx in zip(spec['atoms'], (a, v, b)):\n        if not 0 <= idx < len(points) or elements[idx] != x['element']:\n            raise ValueError('Named atom does not match XYZ row element')\n    edges = kit.bond_graph(elements, points)\n    bonded = [(min(a, v), max(a, v)) in edges, (min(b, v), max(b, v)) in edges]\n    if not all(bonded):\n        raise ValueError('Named angle atoms are not bonded to the vertex under the covalent-radius rule')\n    theta, candidates = _angle_candidates(elements, points, edges, a, v, b, names, spec.get('ideal'))\n    second = kit.angle_atan2(points[a], points[v], points[b])\n    if abs(theta - second) > 1e-9:\n        raise ValueError('Angle implementations disagree')\n    decimals, tol, sep = 2, '0.005', '1.50'\n    context = spec['id']\n    chosen, rejected, goal, rank = kit.choose_numeric(theta, candidates, decimals=decimals, tolerance=tol,\n                                                      min_separation=sep, seed=seed, context=context, target=spec.get('target_position'),\n                                                      lower=0, upper=180, distractor_separation='0.50')\n    options, audit = kit.label_numeric(theta, chosen, decimals=decimals, unit='degree', seed=seed,\n                                       context=context, correct_reason='按向量夹角公式在指定顶点计算；另以 atan2 实现复核。')\n    key = kit.validate_numeric(options, theta, decimals=decimals, tolerance=tol, min_separation=sep, unit='degree',\n                               distractor_separation='0.50')\n    rows = ', '.join('%s = row %d' % (x['name'], x['row']) for x in spec['atoms'])\n    question = ('%s Atoms %s–%s–%s form %s (%s; rows counted from 1 after the two XYZ header lines). '\n                'What is the %s–%s–%s bond angle at %s in this supplied conformer?') % (\n        spec['context'], names[0], names[1], names[2], spec['linkage'], rows, names[0], names[1], names[2], names[1])\n    span = max(math.dist(points[i], points[j]) for i in (a, v, b) for j in (a, v, b)) / 10\n    return dict(\n        question=question,\n        scope=spec['scope'],\n        inputs=[dict(name=path.name, format='xyz', unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(theta, decimals), unit='degree', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=rank),\n        checks=dict(bond_rule='covalent radii sum × 1.2', vertex_bonded_to_both=True,\n                    acos_deg=theta, atan2_deg=second, implementations_agree=True,\n                    vertex_neighbors=[kit.neighbors(edges, v)]),\n        scales=dict(input_nm=kit.dmax(points) / 10, reasoning_nm=span,\n                    reasoning_definition='指定三原子两两最大间距（局部 0.1–1 nm）'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n\ndef read_pdb_residues(text, chain):\n    residues, order, altloc = {}, [], set()\n    for line in text.splitlines():\n        if line.startswith('ENDMDL'):\n            break\n        if not line.startswith('ATOM') or line[21] != chain:\n            continue\n        number = int(line[22:26])\n        if line[16] != ' ':\n            altloc.add(number)\n        if number not in residues:\n            residues[number] = dict(name=line[17:20], atoms={}, lines=[])\n            order.append(number)\n        residues[number]['atoms'][line[12:16].strip()] = tuple(float(line[c:c + 8]) for c in (30, 38, 46))\n        residues[number]['lines'].append(line.rstrip())\n    return residues, order, altloc\n\n\nTORSIONS = {\n    'phi': (('C', -1), ('N', 0), ('CA', 0), ('C', 0)),\n    'psi': (('N', 0), ('CA', 0), ('C', 0), ('N', 1)),\n    'omega': (('CA', 0), ('C', 0), ('N', 1), ('CA', 1)),\n}\nSYMBOL = {'phi': 'φ', 'psi': 'ψ', 'omega': 'ω'}\n\n\ndef torsion(residues, number, kind, implementation=kit.dihedral_normals):\n    pts = []\n    for atom, offset in TORSIONS[kind]:\n        res = residues.get(number + offset)\n        if not res or atom not in res['atoms']:\n            return None\n        pts.append(res['atoms'][atom])\n    return implementation(*pts)\n\n\ndef build_backbone_torsion(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    residues, order, altloc = read_pdb_residues(raw.decode('utf-8'), spec['chain'])\n    n, kind = spec['residue'], spec['torsion']\n    window = [n - 1, n, n + 1]\n    if kind not in ('phi', 'psi') or any(r not in residues for r in window) or altloc & set(window):\n        raise ValueError('Residue window missing, has alternate locations or unsupported torsion')\n    for left, right in ((n - 1, n), (n, n + 1)):\n        if math.dist(residues[left]['atoms']['C'], residues[right]['atoms']['N']) > 1.5:\n            raise ValueError('Chain break between residues %d and %d' % (left, right))\n    value = torsion(residues, n, kind)\n    second = torsion(residues, n, kind, kit.dihedral_projection)\n    if value is None or abs(value - second) > 1e-8:\n        raise ValueError('Torsion implementations disagree or atoms missing')\n    if abs(abs(value) - 180) < 1.0:\n        raise ValueError('Correct value too close to the ±180° boundary for unambiguous rounding')\n    other = 'psi' if kind == 'phi' else 'phi'\n    res = residues[n]\n    name = '%s%d' % (res['name'].title(), n)\n    tau = kit.angle_acos(res['atoms']['N'], res['atoms']['CA'], res['atoms']['C'])\n    neighbor = n + 1 if kind == 'phi' else n - 1\n    omega_residue = n - 1 if kind == 'phi' else n\n    candidates = [\n        dict(rule='opposite_sign', value=-value, plausibility=3,\n             reason='符号约定取反：相当于把镜像手性当成原构象。'),\n        dict(rule='other_backbone_torsion', value=torsion(residues, n, other), plausibility=3,\n             reason='算成同一残基的 %s 而非 %s。' % (SYMBOL[other], SYMBOL[kind])),\n        dict(rule='neighbor_residue_same_torsion', value=torsion(residues, neighbor, kind), plausibility=2,\n             reason='算成相邻残基 %d 的 %s。' % (neighbor, SYMBOL[kind])),\n        dict(rule='peptide_omega', value=torsion(residues, omega_residue, 'omega'), plausibility=1,\n             reason='算成肽键扭转角 ω（残基 %d–%d）。' % (omega_residue, omega_residue + 1)),\n        # Plausibility 2 (was 1): the unsigned normal-vector angle is the classic dihedral bug.\n        dict(rule='unsigned_plane_angle', value=180 - abs(value), plausibility=2,\n             reason='用两平面法向量夹角且方向取反，丢失符号（180°−|θ|）。'),\n        dict(rule='backbone_bond_angle', value=tau, plausibility=1,\n             reason='算成 N–CA–C 键角 τ，而非二面角。'),\n    ]\n    decimals, tol, sep = 1, '0.05', '5.0'\n    chosen, rejected, goal, rank = kit.choose_numeric(value, candidates, decimals=decimals, tolerance=tol,\n                                                      min_separation=sep, seed=seed, context=spec['id'], target=spec.get('target_position'),\n                                                      lower=-180, upper=180, period=360)\n    options, audit = kit.label_circular(value, chosen, decimals=decimals, unit='degree', target=goal,\n                                        correct_reason='IUPAC 符号约定的二面角；法向量与投影两种实现一致。')\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep,\n                               unit='degree', period=360)\n    atoms = TORSIONS[kind]\n    definition = '–'.join('%s(%d)' % (a, n + o) for a, o in atoms)\n    excerpt = '\\n'.join(line for r in window for line in residues[r]['lines']) + '\\nEND\\n'\n    chain_label = spec['chain'] if spec['chain'].strip() else '(blank)'\n    question = ('The excerpt contains residues %d–%d of chain %s from PDB entry %s (%s), ATOM records copied '\n                'unchanged (coordinates in angstrom). Compute the backbone torsion %s of %s, defined by atoms %s, '\n                'using the IUPAC sign convention (range −180° to +180°). The options are listed in increasing angle around '\n                'the circle, starting from an arbitrary point.') % (\n        n - 1, n + 1, chain_label, spec['pdb'], spec['context'], SYMBOL[kind], name, definition)\n    pts = [residues[n + o]['atoms'][a] for a, o in atoms]\n    return dict(\n        question=question,\n        scope=spec['scope'],\n        inputs=[dict(name='%s-%s%d-excerpt.pdb' % (spec['pdb'], spec['chain'].strip() or '_', n),\n                     format='pdb-excerpt', unit='angstrom', text=excerpt)],\n        numeric=dict(value=kit.display(value, decimals), unit='degree', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=goal, linear_rank=rank),\n        option_order='circular ascending from a target-set cut (angles are periodic)',\n        checks=dict(normals_deg=value, projection_deg=second, implementations_agree=True,\n                    chain_continuity_max_C_N_A=1.5, altloc_in_window=False,\n                    periodic_separation=True, residue=name, torsion=kind),\n        scales=dict(input_nm=kit.dmax([p for r in window for p in residues[r]['atoms'].values()]) / 10,\n                    reasoning_nm=math.dist(pts[0], pts[3]) / 10,\n                    reasoning_definition='二面角首末原子间距（局部 0.1–1 nm）'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n\n\n# ------------------------------------------------------------------ secondary structure from phi/psi\nREFERENCE = [('right-handed α-helix', -57, -47), ('β-strand', -120, 130), ('polyproline II', -75, 145), ('left-handed α-helix', 57, 47)]\nRECORD_CLASS = {'HELIX': 'right-handed α-helix', 'SHEET': 'β-strand'}\n\n\ndef ramachandran_distance(phi, psi, ref):\n    wrap = lambda x: (x + 180) % 360 - 180\n    return math.hypot(wrap(phi - ref[1]), wrap(psi - ref[2]))\n\n\ndef structure_records(text, chain, number):\n    \"\"\"HELIX/SHEET records of the entry that contain the residue (author assignment = evidence).\"\"\"\n    hits = []\n    for line in text.splitlines():\n        if line.startswith('HELIX ') and line[19] == chain and int(line[21:25]) <= number <= int(line[33:37]):\n            hits.append(('HELIX', line.rstrip()))\n        if line.startswith('SHEET ') and line[21] == chain and int(line[22:26]) <= number <= int(line[33:37]):\n            hits.append(('SHEET', line.rstrip()))\n    return hits\n\n\ndef build_secondary_structure(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    text = raw.decode('utf-8')\n    residues, order, altloc = read_pdb_residues(text, spec['chain'])\n    n = spec['residue']\n    window = [n - 1, n, n + 1]\n    if any(r not in residues for r in window) or altloc & set(window):\n        raise ValueError('Residue window missing or has alternate locations')\n    for left, right in ((n - 1, n), (n, n + 1)):\n        if math.dist(residues[left]['atoms']['C'], residues[right]['atoms']['N']) > 1.5:\n            raise ValueError('Chain break')\n    phi, psi = torsion(residues, n, 'phi'), torsion(residues, n, 'psi')\n    if abs(phi - torsion(residues, n, 'phi', kit.dihedral_projection)) > 1e-8 or abs(psi - torsion(residues, n, 'psi', kit.dihedral_projection)) > 1e-8:\n        raise ValueError('Torsion implementations disagree')\n    ranked = sorted(REFERENCE, key=lambda r: ramachandran_distance(phi, psi, r))\n    d1, d2 = ramachandran_distance(phi, psi, ranked[0]), ramachandran_distance(phi, psi, ranked[1])\n    if d1 > 0.7 * d2:\n        raise ValueError('Nearest reference conformation not clear enough')\n    records = structure_records(text, spec['chain'], n)\n    kinds = {k for k, _ in records}\n    if len(kinds) != 1 or RECORD_CLASS[kinds.pop()] != ranked[0][0]:\n        raise ValueError('Dihedral class disagrees with (or lacks) the HELIX/SHEET record')\n    right = ranked[0][0]\n    mirror = {'right-handed α-helix': 'left-handed α-helix', 'left-handed α-helix': 'right-handed α-helix'}\n    others = []\n    for ref in REFERENCE:\n        if ref[0] == right:\n            continue\n        dist = ramachandran_distance(phi, psi, ref)\n        if ref is ranked[1]:\n            others.append(('second_nearest_reference', ref[0], '次近的参考构象（距离 %.0f°，正确者 %.0f°）；两者易混。' % (dist, d1), 3))\n        elif mirror.get(right) == ref[0]:\n            others.append(('mirror_image', ref[0], 'φ、ψ 符号全部取反（镜像）时会落在这里（距离 %.0f°）。' % dist, 2))\n        else:\n            others.append(('other_reference', ref[0], '距离 %.0f°，明显更远。' % dist, 1))\n    order_ = kit.place(('correct', right, 'φ = %.1f°，ψ = %.1f°，最近参考构象（%.0f°）；与条目 %s 记录一致。' % (phi, psi, d1, records[0][0]), 3),\n                       others, spec.get('target_position'), seed, spec['id'], key=lambda q: q[0])\n    options = [dict(label=l, value=q[1]) for l, q in zip(kit.LABELS, order_)]\n    key = kit.validate_verdicts(options, [q[0] == 'correct' for q in order_])\n    audit = [dict(label=l, value=q[1], rule=q[0], reason=q[2], is_correct=q[0] == 'correct') for l, q in zip(kit.LABELS, order_)]\n    name = '%s%d' % (residues[n]['name'].title(), n)\n    sign = lambda x: ('+%d' % x) if x > 0 else ('−%d' % -x)\n    refs = ', '.join('%s (φ %s°, ψ %s°)' % (r[0], sign(r[1]), sign(r[2])) for r in REFERENCE)\n    question = ('The excerpt contains residues %d–%d of chain %s from PDB entry %s (%s), ATOM records copied unchanged (coordinates in '\n                'angstrom). Compute the backbone dihedrals φ and ψ of %s (IUPAC sign convention) and assign the residue to the nearest '\n                'of these reference backbone conformations, measuring distance in the (φ, ψ) plane with 360° periodicity: %s. '\n                'Which conformation does %s adopt?') % (n - 1, n + 1, spec['chain'], spec['pdb'], spec['context'], name, refs, name)\n    excerpt = '\\n'.join(line for r in window for line in residues[r]['lines']) + '\\nEND\\n'\n    pts = [residues[n - 1]['atoms']['C'], residues[n]['atoms']['N'], residues[n]['atoms']['CA'], residues[n]['atoms']['C'],\n           residues[n + 1]['atoms']['N']]\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name='%s-%s%d-excerpt.pdb' % (spec['pdb'], spec['chain'], n), format='pdb-excerpt', unit='angstrom', text=excerpt)],\n        numeric=None, options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(phi_deg=phi, psi_deg=psi, nearest_distance_deg=d1, second_distance_deg=d2, evidence_records=[r for _, r in records],\n                    residue=name, limits='参考构象中心为教科书典型值；HELIX/SHEET 为条目作者的指认，作为审核证据，不给考生。'),\n        scales=dict(input_nm=kit.dmax([q for r in window for q in residues[r]['atoms'].values()]) / 10,\n                    reasoning_nm=kit.dmax(pts) / 10, reasoning_definition='定义 φ 与 ψ 的五个主链原子的最大间距（局部）'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n# ------------------------------------------------------------------ named bond distance\nBOHR_PER_ANGSTROM = 1.8897261246\n\n\ndef _distance_candidates(elements, points, edges, a, b, labels, typical):\n    d = math.dist(points[a], points[b])\n    out = [dict(rule='covalent_radii_sum', value=kit.COVALENT[elements[a]] + kit.COVALENT[elements[b]], plausibility=2,\n                reason='用共价半径之和估计，没有测量这一结构。'),\n           dict(rule='bohr_units', value=d * BOHR_PER_ANGSTROM, plausibility=1, reason='把埃换算成玻尔半径后报告。')]\n    if typical:\n        out.append(dict(rule='typical_value', value=typical['value'], plausibility=3,\n                        reason='套用教科书典型值 %s Å（%s），没有测量。' % (typical['value'], typical['basis'])))\n    for end, other in ((a, b), (b, a)):\n        for x in kit.neighbors(edges, end):\n            if x == other:\n                continue\n            out.append(dict(rule='other_bond:%s-%s' % (labels(end), labels(x)), value=math.dist(points[end], points[x]),\n                            plausibility=3, reason='量成 %s 的另一根键（到 %s）。' % (labels(end), labels(x))))\n    for end, other in ((a, b), (b, a)):\n        # Larger-value misconception (counting one bond too far): without it bond-length answers sat mostly at B/C\n        # (enumeration probe runs/enum-v17).\n        for y in kit.neighbors(edges, other):\n            if y != end and elements[y] != 'H':\n                out.append(dict(rule='one_bond_too_far:%s-%s' % (labels(end), labels(y)), value=math.dist(points[end], points[y]),\n                                plausibility=2, reason='多数了一根键：量成 %s 到 %s 之外的 %s 的距离。' % (labels(end), labels(other), labels(y))))\n    near = sorted((math.dist(points[a], points[j]), j) for j in range(len(points))\n                  if j not in (a, b) and elements[j] == elements[b] and (min(a, j), max(a, j)) not in edges)\n    if near:\n        out.append(dict(rule='nearest_nonbonded_same_element', value=near[0][0], plausibility=2,\n                        reason='量到最近的另一个同种元素原子（%s，未成键）。' % labels(near[0][1])))\n    return d, out\n\n\ndef build_bond_distance(spec, root, seed):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    if spec.get('pdb'):\n        residues, _, altloc = read_pdb_residues(raw.decode('utf-8'), spec['chain'])\n        wanted = [r for r, _ in spec['pdb_atoms']]\n        if altloc & set(wanted):\n            raise ValueError('Alternate locations in named residues')\n        lines = [l for r in sorted(set(wanted)) for l in residues[r]['lines']]\n        ssbond = [l.rstrip() for l in raw.decode('utf-8').splitlines() if l.startswith('SSBOND')\n                  and {int(l[17:21]), int(l[31:35])} == set(wanted)]\n        text = '\\n'.join(ssbond + lines) + '\\nEND\\n'\n        names, elements, points = [], [], []\n        for r in sorted(set(wanted)):\n            for n, xyz in residues[r]['atoms'].items():\n                names.append('%s(%s%d)' % (n, residues[r]['name'].title(), r))\n                elements.append(n[0] if n[0] in 'CNOS' else 'H')\n                points.append(xyz)\n        index = {(r, n): i for i, (r, n) in enumerate((r, n) for r in sorted(set(wanted)) for n in residues[r]['atoms'])}\n        a, b = [index[tuple(x)] for x in spec['pdb_atoms']]\n        inputs = [dict(name='%s-excerpt.pdb' % spec['pdb'], format='pdb-excerpt', unit='angstrom', text=text)]\n        label = lambda i: names[i]\n        where = 'atoms %s and %s' % (names[a], names[b])\n    else:\n        text = raw.decode('utf-8-sig')\n        elements, points = kit.parse_xyz(text)\n        rows = spec['atoms']\n        a, b = rows[0]['row'] - 1, rows[1]['row'] - 1\n        for x, idx in zip(rows, (a, b)):\n            if elements[idx] != x['element']:\n                raise ValueError('Named atom does not match XYZ row element')\n        inputs = [dict(name=path.name, format='xyz', unit='angstrom', text=text)]\n        label = lambda i: '%s%d' % (elements[i], i + 1)\n        where = 'atoms %s (row %d) and %s (row %d)' % (rows[0]['name'], a + 1, rows[1]['name'], b + 1)\n    edges = kit.bond_graph(elements, points)\n    if (min(a, b), max(a, b)) not in edges:\n        raise ValueError('Named atoms are not bonded under the covalent-radius rule')\n    d, candidates = _distance_candidates(elements, points, edges, a, b, label, spec.get('typical'))\n    second = float(sum((kit.Decimal(repr(x)) - kit.Decimal(repr(y))) ** 2 for x, y in zip(points[a], points[b])).sqrt())\n    if abs(d - second) > 1e-9:\n        raise ValueError('Distance implementations disagree')\n    decimals, tol, sep = 3, '0.0005', '0.020'\n    chosen, rejected, goal, rank = kit.choose_numeric(d, candidates, decimals=decimals, tolerance=tol, min_separation=sep,\n                                                      seed=seed, context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation='0.010')\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(d, chosen, decimals=decimals, unit='angstrom', seed=seed, context=spec['id'],\n                                       correct_reason='两指定原子的欧氏距离；另以 Decimal 实现复核。')\n    key = kit.validate_numeric(options, d, decimals=decimals, tolerance=tol, min_separation=sep, unit='angstrom',\n                               distractor_separation='0.010')\n    question = '%s In this supplied structure, %s form %s. What is this bond length?' % (spec['context'], where, spec['bond'])\n    return dict(\n        question=question, scope=spec['scope'], inputs=inputs,\n        numeric=dict(value=kit.display(d, decimals), unit='angstrom', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=rank),\n        checks=dict(bonded=True, bond_rule='covalent radii sum × 1.2', float_A=d, decimal_A=second,\n                    limits='单一结构中的键长；不据此单独判定成键状态或键级。'),\n        scales=dict(input_nm=kit.dmax(points) / 10, reasoning_nm=d / 10, reasoning_definition='两成键原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/moire.py": "\"\"\"Twisted bilayer graphene moire superlattices (quantum, 10-100 nm): paper-parameter models.\n\nInputs are built by tools/build_moire_assets.py from published twist angles (Cao et al. 2018 devices\nM1/M2/D1; Kerelsky et al. 2019 STM regions): AA-site maps (the STM bright-spot lattice) and one atomistic\ntwo-layer patch. Every question concerns the moire lattice (period 12-18 nm), its cell area, or the\nelectron densities that fill its spin- and valley-degenerate bands (n_s = 4/A, Cao et al.).\nAnswers are computed from the coordinates and cross-checked against the published twist angle.\n\"\"\"\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nA_NM = 0.246\nTOL = 1e-5\n\n\ndef period(theta_deg):\n    return A_NM / (2 * math.sin(math.radians(theta_deg) / 2))\n\n\ndef load_map(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    lines = text.splitlines()\n    rows = [l.split() for l in lines[2:] if l.strip()]\n    if int(lines[0]) != len(rows) or any(len(r) != 3 or r[0] != 'AA' for r in rows):\n        raise ValueError('Expected count, comment and \"AA x y\" rows')\n    return text, [(float(r[1]), float(r[2])) for r in rows], kit.sha256(raw)\n\n\ndef map_lattice(pts, theta):\n    c = (math.fsum(p[0] for p in pts) / len(pts), math.fsum(p[1] for p in pts) / len(pts))\n    i = min(range(len(pts)), key=lambda k: math.dist(pts[k], c))\n    d = sorted(math.dist(pts[i], p) for j, p in enumerate(pts) if j != i)\n    first = [x for x in d if x - d[0] <= TOL]\n    if len(first) != 6:\n        raise ValueError('AA sites do not form a triangular lattice around the centre')\n    lam = math.fsum(first) / 6\n    if abs(lam - period(theta)) > 1e-4:\n        raise ValueError('Moire period does not match the published twist angle')\n    return lam\n\n\ndef area(lam):\n    return math.sqrt(3) / 2 * lam ** 2\n\n\ndef density(lam, electrons):\n    return electrons / area(lam) * 100          # nm^-2 -> 10^12 cm^-2\n\n\ndef layer_orientation(atoms, z):\n    \"\"\"Mean bond direction modulo 60 degrees for the layer at height z (angstrom).\"\"\"\n    layer = [p for p in atoms if abs(p[2] - z) < 0.01]\n    angles = []\n    for i, p in enumerate(layer):\n        for q in layer[i + 1:]:\n            if abs(math.dist(p[:2], q[:2]) - A_NM * 10 / math.sqrt(3)) < 1e-3:\n                angles.append(math.degrees(math.atan2(q[1] - p[1], q[0] - p[0])) % 60)\n    ref = angles[0]\n    return ref + math.fsum(((x - ref + 30) % 60) - 30 for x in angles) / len(angles)\n\n\nMAP_SUBJECT = ('The file lists the centres of the AA-stacked regions (the bright spots of an STM topograph) of a model twisted '\n               'bilayer graphene sample, coordinates in nm (rigid twist without lattice relaxation or strain; built from a published '\n               'twist angle).')\nATOM_SUBJECT = ('The XYZ file lists all carbon atoms of both layers of a model twisted bilayer graphene near an AA-stacked site '\n                '(angstrom; rigid twist, layer spacing 3.35 Å; built from a published twist angle).')\nPAPERS = {'cao': 'Cao et al. (Nature 2018; device twist angles from transport)', 'kerelsky': 'Kerelsky et al. (Nature 2019; STM)'}\n\n\ndef conditions(papers):\n    return ('Model conditions: the only measured input is the twist angle reported by %s; both layers are ideal, unstrained graphene '\n            'sheets (lattice constant 0.246 nm) rigidly rotated against each other, with no lattice relaxation, heterostrain or substrate '\n            'effects, which is the idealization behind the moiré formulas used in the paper; real samples show slight heterostrain.'\n            % ' or '.join(PAPERS[p] for p in papers))\n\n\ndef paper_of(sample):\n    return 'kerelsky' if sample.startswith('K') else 'cao'\n\n\nASK = {\n    'period': ('What is the moiré period (the moiré lattice constant), in nm?', 2, '0.005', '0.30', 'nm', 'perception'),\n    'area': ('What is the area of one moiré unit cell, in nm²?', 1, '0.05', '3.0', 'nm^2', 'perception'),\n    'n_full': ('What is the superlattice density n_s, the carrier density that completely fills one set of spin- and '\n               'valley-degenerate moiré bands, in units of 10¹² cm⁻²?', 3, '0.0005', '0.050', '10^12 cm^-2', 'inference'),\n    'n_half': ('What carrier density corresponds to half filling of one set of spin- and valley-degenerate moiré bands (where '\n               'correlated insulators appear), in units of 10¹² cm⁻²?', 3, '0.0005', '0.050', '10^12 cm^-2', 'inference'),\n    'twist': ('The graphene lattice constant is 0.246 nm. What twist angle between the two layers produces this moiré pattern, '\n              'in degrees?', 3, '0.0005', '0.050', 'degree', 'inference'),\n    'period_from_atoms': ('Assuming the two layers are unstrained and rigidly twisted, what is the moiré period (the moiré lattice '\n                          'constant) of this bilayer, in nm?', 2, '0.005', '0.30', 'nm', 'inference'),\n}\n\n\ndef candidates(ask, lam, theta):\n    s3 = math.sqrt(3)\n    if ask == 'period':\n        return lam, [dict(rule='aa_to_ab_distance', value=lam / s3, plausibility=3, reason='报告了 AA 到 AB 区中心的距离 λ/√3。'),\n                     dict(rule='row_spacing', value=lam * s3 / 2, plausibility=3, reason='报告了相邻 AA 行的间距 (√3/2)λ。'),\n                     dict(rule='second_neighbour', value=lam * s3, plausibility=2, reason='报告了次近邻 AA 距离 √3λ。'),\n                     dict(rule='half_period', value=lam / 2, plausibility=2, reason='报告了半个周期。'),\n                     dict(rule='double_period', value=2 * lam, plausibility=2, reason='报告了隔一个 AA 位点的两近邻间距 2λ（六边形对角）。')]\n    if ask == 'area':\n        return area(lam), [dict(rule='square_cell', value=lam ** 2, plausibility=3, reason='按正方形晶胞 λ² 计算。'),\n                           dict(rule='triangle_only', value=s3 / 4 * lam ** 2, plausibility=2, reason='只算了一个三角形（半个晶胞）。'),\n                           dict(rule='hexagon_twice', value=s3 * lam ** 2, plausibility=2, reason='面积多乘了 2。'),\n                           dict(rule='circle_of_half_period', value=math.pi * (lam / 2) ** 2, plausibility=1, reason='用直径为 λ 的圆面积。'),\n                           dict(rule='ab_spacing_cell', value=s3 / 2 * (lam / s3) ** 2, plausibility=2, reason='用 AA–AB 距离当作晶格常数。')]\n    if ask in ('n_full', 'n_half'):\n        e = 4 if ask == 'n_full' else 2\n        out = [dict(rule='no_degeneracy', value=density(lam, 1), plausibility=3, reason='每个晶胞只算 1 个电子，漏掉自旋×谷四重简并。'),\n               dict(rule='spin_only', value=density(lam, 2 if e == 4 else 1), plausibility=2, reason='只计自旋简并，漏掉谷简并。'),\n               dict(rule='square_cell', value=e / lam ** 2 * 100, plausibility=2, reason='晶胞面积按 λ² 计算。'),\n               dict(rule='eight_per_cell', value=density(lam, 2 * e), plausibility=2, reason='多计了一倍（把两层各算一次）。'),\n               dict(rule='per_cm2_unit_slip', value=density(lam, e) / 10, plausibility=1, reason='nm⁻² 到 cm⁻² 换算差 10 倍。'),\n               dict(rule='ab_distance_as_period', value=density(lam / math.sqrt(3), e), plausibility=2,\n                    reason='把 AA–AB 距离 λ/√3 当作莫尔周期，晶胞面积小 3 倍。')]\n        if e == 2:\n            out.append(dict(rule='full_filling', value=density(lam, 4), plausibility=3, reason='报告了完全填满（n_s）而非半满。'))\n        return density(lam, e), out\n    if ask == 'twist':\n        return theta, [dict(rule='bond_length_as_lattice_constant', value=math.degrees(2 * math.asin(A_NM / s3 / (2 * lam))), plausibility=3,\n                            reason='把 C–C 键长当作晶格常数。'),\n                       dict(rule='half_angle', value=math.degrees(math.asin(A_NM / (2 * lam))), plausibility=2, reason='漏掉 θ = 2 arcsin(…) 的因子 2。'),\n                       dict(rule='radians_as_degrees', value=math.radians(theta), plausibility=2, reason='以弧度数值当作度报告。'),\n                       dict(rule='ab_distance_as_period', value=math.degrees(2 * math.asin(A_NM * s3 / (2 * lam))), plausibility=2,\n                            reason='把 AA–AB 距离当作莫尔周期。'),\n                       dict(rule='double_angle', value=2 * theta, plausibility=1, reason='报告了两倍转角。')]\n    return lam, [dict(rule='sin_full_angle', value=A_NM / math.sin(math.radians(theta)) / 2, plausibility=3, reason='用 a/(2 sinθ)：转角没有取一半，周期约少一半。'),\n                 dict(rule='bond_length_as_lattice_constant', value=lam / s3, plausibility=3, reason='把 C–C 键长当作晶格常数。'),\n                 dict(rule='angle_of_one_layer', value=A_NM / (2 * math.sin(math.radians(theta) / 4)), plausibility=2,\n                      reason='用单层相对参考方向的转角 θ/2 代替两层之间的转角。'),\n                 dict(rule='row_spacing', value=lam * s3 / 2, plausibility=2, reason='报告了 AA 行间距。'),\n                 dict(rule='angstrom_as_nm', value=lam * 10, plausibility=1, reason='埃当作纳米。'),\n                 dict(rule='second_neighbour', value=lam * s3, plausibility=2, reason='报告了次近邻 AA 距离 √3λ。'),\n                 dict(rule='layer_spacing_as_lattice_constant', value=0.335 / (2 * math.sin(math.radians(theta) / 2)), plausibility=2,\n                      reason='把层间距 0.335 nm 当作晶格常数。')]\n\n\ndef build(spec, root, seed, ability):\n    ask = spec['ask']\n    text_q, decimals, tol, sep, unit, want = ASK[ask]\n    if want != ability:\n        raise ValueError('Quantity %s is not %s' % (ask, ability))\n    theta = spec['twist_deg']\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    if ask == 'period_from_atoms':\n        text = raw.decode('utf-8')\n        atoms = kit.parse_xyz(text)[1]\n        measured = (layer_orientation(atoms, 3.35) - layer_orientation(atoms, 0.0) + 30) % 60 - 30\n        if abs(abs(measured) - theta) > 1e-4:\n            raise ValueError('Layer twist does not match the published angle')\n        lam = period(theta)\n        subject, fmt, input_nm, digest = ATOM_SUBJECT, dict(format='xyz', unit='angstrom'), kit.dmax(atoms) / 10, kit.sha256(raw)\n    else:\n        text, pts, digest = load_map(root, spec['asset'])\n        lam = map_lattice(pts, theta)\n        subject, fmt, input_nm = MAP_SUBJECT, dict(format='aa-site-map', unit='nm'), max(math.dist(p, q) for p in pts for q in pts)\n    value, cands = candidates(ask, lam, theta)\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(float(sep) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit=unit, seed=seed, context=spec['id'],\n                                       correct_reason='θ = %.2f°，λ = a/(2 sin(θ/2)) = %.4f nm，A = (√3/2)λ²，n_s = 4/A。' % (theta, lam))\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit,\n                               distractor_separation=str(float(sep) / 2))\n    return dict(question='%s %s %s' % (subject, conditions([paper_of(spec['sample'])]), text_q), scope=spec['scope'],\n                inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], text=text, **fmt)],\n                numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n                options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n                checks=dict(twist_deg=theta, period_nm=lam, cell_area_nm2=area(lam), n_s_1e12=density(lam, 4), sample=spec['sample'],\n                            limits='刚性转角模型（无晶格弛豫、无异质应变）；实测样品常有少量应变，使莫尔周期偏离理想值。'),\n                scales=dict(input_nm=input_nm, reasoning_nm=lam, reasoning_definition='莫尔周期 λ'),\n                input_hashes={spec['asset']: digest})\n\n\ndef build_geometry(spec, root, seed):\n    return build(spec, root, seed, 'perception')\n\n\ndef build_inference(spec, root, seed):\n    return build(spec, root, seed, 'inference')\n\n\nGOALS = {'half': ('half filling of one set of spin- and valley-degenerate moiré bands occurs at a carrier density closest to %g × 10¹² cm⁻²',\n                  lambda lam: density(lam, 2)),\n         'full': ('the superlattice density n_s (complete filling of one set of spin- and valley-degenerate moiré bands) is closest to '\n                  '%g × 10¹² cm⁻²', lambda lam: density(lam, 4)),\n         'period': ('the moiré period is closest to %g nm', lambda lam: lam)}\nWRONG = {'half': [('full_filling', lambda lam: density(lam, 4), '把半满当成完全填满'),\n                  ('no_degeneracy', lambda lam: density(lam, 1), '漏掉自旋×谷简并'),\n                  ('square_cell', lambda lam: 2 / lam ** 2 * 100, '晶胞面积按 λ² 计算')],\n         'full': [('no_degeneracy', lambda lam: density(lam, 1), '漏掉自旋×谷简并'),\n                  ('spin_only', lambda lam: density(lam, 2), '只计自旋简并'),\n                  ('square_cell', lambda lam: 4 / lam ** 2 * 100, '晶胞面积按 λ² 计算')],\n         'period': [('aa_to_ab_distance', lambda lam: lam / math.sqrt(3), '把 AA–AB 距离当作周期'),\n                    ('second_neighbour', lambda lam: lam * math.sqrt(3), '把次近邻 AA 距离当作周期'),\n                    ('row_spacing', lambda lam: lam * math.sqrt(3) / 2, '把 AA 行间距当作周期')]}\n\n\ndef build_design(spec, root, seed):\n    rows, inputs, hashes = [], [], {}\n    for asset, (sample, theta) in zip(spec['candidates'], spec['twists']):\n        text, pts, digest = load_map(root, asset)\n        lam = map_lattice(pts, theta)\n        rows.append(dict(sample=sample, name=asset.rsplit('/', 1)[1], lam=lam, theta=theta))\n        inputs.append(dict(name=asset.rsplit('/', 1)[1], format='aa-site-map', unit='nm', text=text))\n        hashes[asset] = digest\n    goal, t = spec['goal'], spec['target']\n    text_goal, prop = GOALS[goal]\n    ranked = sorted(rows, key=lambda r: abs(prop(r['lam']) - t))\n    best, runner = ranked[0], ranked[1]\n    if abs(prop(runner['lam']) - t) < 1.5 * abs(prop(best['lam']) - t) or abs(prop(runner['lam']) - t) - abs(prop(best['lam']) - t) < 0.02 * t:\n        raise ValueError('Winning margin too small')\n    why = {}\n    for rule, f, note in WRONG[goal]:\n        pick = min(rows, key=lambda r: abs(f(r['lam']) - t))\n        if pick is not best and pick['sample'] not in why:\n            why[pick['sample']] = (rule, '%s时它最接近目标（%.3f）。' % (note, f(pick['lam'])), 3)\n    for r in rows:\n        if r is not best and r['sample'] not in why:\n            why[r['sample']] = ('farther_from_target', '正确计算为 %.3f，离目标更远。' % prop(r['lam']), 2)\n    right = '%s (%s)' % (best['sample'], best['name'])\n    others = [(why[r['sample']][0], '%s (%s)' % (r['sample'], r['name']), why[r['sample']][1], why[r['sample']][2]) for r in rows if r is not best]\n    order = kit.place(('correct', right, '正确计算为 %.3f，最接近目标。' % prop(best['lam']), 3), others, spec.get('target_position'),\n                      seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('The four files list the centres of the AA-stacked regions (nm) of model twisted bilayer graphene samples (files named by '\n                'sample; each built from that sample\\'s published twist angle; rigid twist without relaxation or strain). %s You must choose '\n                'one sample such that %s. Which sample should you choose?'\n                % (conditions(sorted({paper_of(r['sample']) for r in rows})), text_goal % t))\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(candidates=[dict(sample=r['sample'], twist_deg=r['theta'], period_nm=r['lam'], value=prop(r['lam'])) for r in rows],\n                            goal=goal, target=t, design_note='设计选择：候选均为论文中的实际样品（转角为报道值），性质由模型坐标计算。',\n                            limits='刚性转角模型（无晶格弛豫、无异质应变）。'),\n                scales=dict(input_nm=2 * 45.0, reasoning_nm=max(r['lam'] for r in rows), reasoning_definition='候选中最大的莫尔周期 λ'),\n                input_hashes=hashes)\n",
  "task_families/paper_design.py": "\"\"\"Design questions built from a documented optimization campaign in a paper (design route 1).\n\nThe authors changed one structural feature on purpose (longer aromatic walls, bulkier portal substituents, a\nnarrower pore) and measured the resulting property for every variant. A card transcribes that measured table,\ndocs/assets/families/design/<id>.json, checked against the full text kept locally (inputs/papers/, not in the\nrepository).\n\nThe student is given the setting, a target stated as thresholds on measured properties, and four candidates\ndescribed only by their structure (candidates.txt). The measured values stay on the reviewer side, so the\nquestion is a design choice - pick the structure that reaches the target - and not a table lookup.\n\nWhat code guarantees: every candidate has a measured value for every constrained property (the registry's\n\"four measured candidates\" rule, so \"untested\" is never scored as \"wrong\"); exactly one candidate satisfies\nall constraints; that one is the choice the paper reports; every other candidate fails a named constraint by\na stated margin; the threshold printed in the question is the one the code enforces. What it cannot: that the\nstructural descriptions are enough to reason the answer out rather than recall it. That is the L1/L4\njudgement, and the card records which candidate a naive \"more is always better\" cue would pick.\n\"\"\"\nimport json\nimport math\nimport operator\nimport re\nfrom . import kit\n\nVERSION = '0.1.0'\nOPS = {'>=': operator.ge, '>': operator.gt, '<=': operator.le, '<': operator.lt}\nLOWER_CONSTRAINTS = ('>=', '>')\nMANTISSA = re.compile(r'^\\(?([<>]?)\\s*(-?\\d+(?:\\.\\d+)?)')\nEXPONENT = re.compile(r'× 10\\^(-?\\d+)')\nMARKER_BOUND = {'': None, '>': 'lower', '<': 'upper'}\n\n\ndef parse_display(display):\n    \"\"\"(bound implied by the printed inequality, value) of a display string.\n\n    Covers the forms the papers print: '5 × 10^6 M^-1', '(1.07 ± 0.10) × 10^7', '> 16', '2.7 mmol g^-1'.\n    The uncertainty inside the parentheses is read as text only; the significand and the power of ten are\n    what must agree with the stored value.\n    \"\"\"\n    m = MANTISSA.match(display)\n    if not m:\n        raise ValueError('Display string does not begin with a number: ' + display)\n    exponent = EXPONENT.search(display)\n    value = float(m.group(2)) * (10 ** int(exponent.group(1)) if exponent else 1)\n    return MARKER_BOUND[m.group(1)], value\n\n\ndef shown_value(display):\n    bound, value = parse_display(display)\n    if bound is not None:\n        raise ValueError('A threshold carries its direction in \"op\", not in the printed number: ' + display)\n    return value\n\n\ndef load(root, rel):\n    raw = (root / 'docs' / rel).read_bytes()\n    card = json.loads(raw.decode('utf-8'))\n    if card.get('kind') != 'design_card' or card.get('family') != 'design_choice':\n        raise ValueError('Not a design card: ' + rel)\n    return card, raw\n\n\ndef decide(op, value, threshold, bound):\n    \"\"\"Compare a measured value with a threshold; a one-sided bound may only settle what it can settle.\n\n    A value recorded as a lower bound ('> 16' in the paper) proves that a lower-bound target is met, and that\n    an upper-bound target is missed, but never the opposite: that is refused rather than guessed.\n    \"\"\"\n    ok = OPS[op](value, threshold)\n    if bound is None:\n        return ok\n    if bound not in ('lower', 'upper'):\n        raise ValueError('Unknown bound ' + bound)\n    settles = ok if (bound == 'lower') == (op in LOWER_CONSTRAINTS) else not ok\n    if not settles:\n        raise ValueError('A %s bound cannot settle the constraint %s %s' % (bound, op, threshold))\n    return ok\n\n\ndef measured(candidate, name):\n    entry = candidate['measured'].get(name)\n    if entry is None:\n        raise ValueError('Candidate %s has no measured %s (all four candidates must be measured)'\n                         % (candidate['id'], name))\n    if not entry.get('locator'):\n        raise ValueError('Measured %s of %s has no place in the paper' % (name, candidate['id']))\n    bound, value = parse_display(entry['display'])\n    if bound != entry.get('bound') or not math.isclose(value, float(entry['value']), rel_tol=1e-12):\n        raise ValueError('Measured %s of %s is not stored as the paper prints it' % (name, candidate['id']))\n    return value, bound\n\n\ndef value_of(card, candidate, name):\n    \"\"\"A measured property, or one derived from measured ones (a selectivity ratio).\"\"\"\n    if name in card.get('derived', {}):\n        top, bottom = (measured(candidate, k) for k in card['derived'][name]['ratio'])\n        if top[1] or bottom[1]:\n            raise ValueError('A derived ratio needs exact measured values, not bounds')\n        return top[0] / bottom[0], None\n    return measured(candidate, name)\n\n\ndef evaluate(card):\n    \"\"\"For each candidate: the constraints it fails. Also checks the stated margin to every threshold.\"\"\"\n    failures = {}\n    for c in card['candidates']:\n        bad = []\n        for con in card['constraints']:\n            value, bound = value_of(card, c, con['property'])\n            threshold, margin = float(con['value']), float(con.get('margin', card['margin']))\n            if threshold == 0 or not (value / threshold >= margin or value / threshold <= 1 / margin):\n                raise ValueError('Candidate %s sits within the margin of the %s threshold' % (c['id'], con['key']))\n            if not decide(con['op'], value, threshold, bound):\n                bad.append(con['key'])\n        failures[c['id']] = bad\n    return failures\n\n\ndef candidate_lines(card):\n    \"\"\"What the student sees: one line per candidate, ordered by candidate id, never by the answer.\"\"\"\n    return ''.join('%s: %s — %s\\n' % (c['id'], c['name'], c['geometry'])\n                   for c in sorted(card['candidates'], key=lambda c: c['id']))\n\n\ndef question(card):\n    targets = '; '.join('(%s) %s' % (con['key'], con['text']) for con in card['constraints'])\n    return ('%s %s The attached candidates.txt describes four candidate structures, all of them prepared and '\n            'measured in %s. The candidate must satisfy: %s. Exactly one of the four does so in the measured '\n            'data, which is not shown to you. %s'\n            % (card['setting'], card['goal'], card['short_citation'], targets, card['ask']))\n\n\ndef build(spec, root, seed):\n    card, raw = load(root, spec['asset'])\n    if len(card['candidates']) != 4 or len({c['id'] for c in card['candidates']}) != 4:\n        raise ValueError('A design card needs exactly four distinct candidates')\n    if len({c['geometry'] for c in card['candidates']}) != 4:\n        raise ValueError('Candidates must be distinguishable by their structure')\n    if len({con['key'] for con in card['constraints']}) != len(card['constraints']):\n        raise ValueError('Constraint keys must be distinct')\n    for con in card['constraints']:\n        if con['op'] not in OPS:\n            raise ValueError('Unknown comparison ' + con['op'])\n        if con['display'] not in con['text'] or shown_value(con['display']) != float(con['value']):\n            raise ValueError('Threshold %s is not printed in the target as stored' % con['key'])\n    failures = evaluate(card)\n    winners = [c for c in card['candidates'] if not failures[c['id']]]\n    if len(winners) != 1:\n        raise ValueError('%d candidates meet the target (need exactly 1)' % len(winners))\n    best = winners[0]\n    if best['id'] != card['paper_choice'] or best['rule'] != 'correct':\n        raise ValueError('The candidate that meets the target is not the one the paper chose')\n    label = lambda c: '%s: %s' % (c['id'], c['name'])\n    correct = ('correct', label(best), '实测值满足全部目标约束，且是原文选定的结构（%s）。' % card['paper_choice_locator'], 3)\n    others = []\n    for c in card['candidates']:\n        if c is best:\n            continue\n        if c['rule'] == 'correct':\n            raise ValueError('Only the paper choice may carry the rule \"correct\"')\n        others.append((c['rule'], label(c), '不满足约束 %s：%s' % ('、'.join(failures[c['id']]), c['reason']),\n                       c.get('plausibility', 3)))\n    order = kit.place(correct, others, spec.get('target_position'), seed, spec['id'], key=lambda x: x[1])\n    options = [dict(label=l, value=x[1]) for l, x in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [x[0] == 'correct' for x in order])\n    audit = [dict(label=l, value=x[1], rule=x[0], reason=x[2], is_correct=x[0] == 'correct', plausibility=x[3])\n             for l, x in zip(kit.LABELS, order)]\n    s = card['scale']\n    return dict(\n        question=question(card), scope=spec['scope'], numeric=None, options=options, correct_label=key,\n        inputs=[dict(name='candidates.txt', format='text', unit='结构描述，无单位', text=candidate_lines(card))],\n        option_audit=audit, excluded_candidates=[], rank=None,\n        option_order='候选按 id 排序写入附件；正确项按批次目标位置插入选项，附件顺序与答案无关',\n        checks=dict(card=card['id'], paper_choice=card['paper_choice'], failures=failures, margin=card['margin'],\n                    measured={c['id']: {k: v['display'] for k, v in c['measured'].items()} for c in card['candidates']},\n                    locators={c['id']: {k: v['locator'] for k, v in c['measured'].items()} for c in card['candidates']},\n                    naive_cue=card.get('naive_cue'), notes=card.get('notes', []),\n                    limits='程序保证：四个候选都有实测值、恰好一个满足全部约束、该候选即原文选定者、题干印出的阈值就是代码执行的阈值。'\n                           '程序不能保证：所给结构描述足以推出答案而非靠记忆，也不能保证描述忠于原文——须对照原文位置人工核对（L1），难度由 L4 判定。'),\n        scales=dict(input_nm=s['input_nm'], reasoning_nm=s['reasoning_nm'], reasoning_definition=s['definition']),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/photonic.py": "\"\"\"Colloidal (opal) photonic crystals (materials, 100-1000 nm): paper-parameter models.\n\nInputs are the touching-sphere FCC crystallites built by tools/build_opal_assets.py from published sphere\ndiameters (polystyrene series of Gazmeh et al., Sci. Rep. 2025; silica opal of Fookes et al., Sensors 2023).\nEvery question concerns the lattice period (sphere diameter, close-packed plane spacing, cell edge) or the\nvisible/near-infrared Bragg reflection it produces, all between about 170 and 900 nm.\nAnswers are computed from the coordinates as written and cross-checked against the published diameter.\n\"\"\"\nimport math\nfrom . import kit\nfrom .superlattice import shells, centre_index, numeric_candidates\n\nVERSION = '0.1.0'\nFILL = math.pi / (3 * math.sqrt(2))     # touching spheres on an FCC lattice\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    lines = text.splitlines()\n    rows = [l.split() for l in lines[2:] if l.strip()]\n    if int(lines[0]) != len(rows) or any(len(r) != 4 or r[0] != 'sphere' for r in rows):\n        raise ValueError('Expected count, comment and \"sphere x y z\" rows')\n    return text, [tuple(float(v) for v in r[1:]) for r in rows], kit.sha256(raw)\n\n\ndef lattice(points, diameter):\n    groups = shells(points, centre_index(points))\n    (d1, g1), (d2, g2) = groups[0], groups[1]\n    if len(g1) != 12 or len(g2) != 6 or abs(d2 / d1 - math.sqrt(2)) > 1e-5:\n        raise ValueError('Not a touching-sphere FCC environment')\n    if abs(d1 - diameter) > 1e-4:\n        raise ValueError('Sphere spacing does not match the published diameter')\n    return dict(nn=d1, a=d2, d111=d2 / math.sqrt(3))\n\n\ndef n_eff(spec):\n    if spec.get('n_eff'):\n        return spec['n_eff']\n    return math.sqrt(FILL * spec['n_sphere'] ** 2 + (1 - FILL) * spec['n_medium'] ** 2)\n\n\ndef peak(d111, n, theta_deg):\n    return 2 * d111 * math.sqrt(n * n - math.sin(math.radians(theta_deg)) ** 2)\n\n\ndef optics_text(spec):\n    if spec.get('n_eff'):\n        return 'Model the film as this lattice with its close-packed planes parallel to the film surface, and use an effective ' \\\n               'refractive index of %.2f for the film.' % spec['n_eff']\n    return ('Model the film as this lattice with its close-packed planes parallel to the film surface. The spheres have refractive '\n            'index %.2f and the voids are filled with a medium of refractive index %.2f; take the effective index from the '\n            'volume-weighted average of the squared refractive indices (n_eff² = Σ f_i n_i²), using the sphere volume fraction '\n            'of this packing.' % (spec['n_sphere'], spec['n_medium']))\n\n\nPAPERS = {'polystyrene': 'Gazmeh et al. (Sci. Rep. 2025, Table 3; field-emission SEM)', 'silica': 'Fookes et al. (Sensors 2023; SEM)'}\n\n\ndef conditions(material):\n    return ('Model conditions: the only measured input is the sphere diameter reported by %s; the spheres are identical (no size '\n            'dispersion), touch their neighbours and sit on an ideal close-packed lattice without stacking faults, vacancies or cracks, '\n            'which is the idealization behind the paper\\'s Bragg-law estimate of the reflection peak. Each crystallite is a finite cut of '\n            '177 spheres in an arbitrary orientation.' % PAPERS[material])\n\n\ndef subject(spec):\n    return ('The file lists the sphere centres (nm) of a model %s opal crystallite built from a published sphere diameter; '\n            'neighbouring spheres touch. %s' % (spec['material'], conditions(spec['material'])))\n\n\nPERCEPTION = {'diameter': 'What is the sphere diameter, in nm?',\n              'd111': 'What is the spacing between adjacent close-packed (most densely populated) planes of sphere centres, in nm?',\n              'cell_edge': 'What is the edge length of the conventional cubic unit cell of the sphere lattice, in nm?'}\n\n\ndef result(spec, text, question, value, cands, decimals, tol, sep, unit, seed, reason, checks, input_nm, reasoning_nm, digest):\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(float(sep) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit=unit, seed=seed, context=spec['id'], correct_reason=reason)\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit,\n                               distractor_separation=str(float(sep) / 2))\n    return dict(question=question, scope=spec['scope'],\n                inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format='sphere-centres', unit='nm', text=text)],\n                numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n                options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n                checks=checks, scales=dict(input_nm=input_nm, reasoning_nm=reasoning_nm, reasoning_definition='晶格周期：常规晶胞边长 a'),\n                input_hashes={spec['asset']: digest})\n\n\ndef build_geometry(spec, root, seed):\n    text, pts, digest = load(root, spec['asset'])\n    lat = lattice(pts, spec['diameter_nm'])\n    a, d = lat['a'], lat['nn']\n    if spec['ask'] == 'diameter':\n        value, cands = d, [dict(rule='cell_edge', value=a, plausibility=3, reason='报告了常规晶胞边长（次近邻距离）。'),\n                           dict(rule='radius', value=d / 2, plausibility=3, reason='报告了半径。'),\n                           dict(rule='d111', value=a / math.sqrt(3), plausibility=2, reason='报告了密排面间距。'),\n                           dict(rule='half_cell_edge', value=a / 2, plausibility=2, reason='取晶胞边长的一半。'),\n                           dict(rule='face_diagonal', value=a * math.sqrt(2), plausibility=1, reason='报告了面对角线（2D）。')]\n    else:\n        value, cands = numeric_candidates(spec['ask'], a, d, None)\n    checks = dict(spheres=len(pts), diameter_nm=d, a_nm=a, published_diameter_nm=spec['diameter_nm'], sample=spec['sample'],\n                  limits='按论文球径构建的理想接触球 FCC 模型，不含尺寸分布与堆垛缺陷。')\n    return result(spec, text, '%s %s' % (subject(spec), PERCEPTION[spec['ask']]), value, cands, 1, '0.05', '3.0', 'nm', seed,\n                  '由坐标：12 个最近邻在 %.4f nm（= 球径），6 个次近邻在 a = %.4f nm。' % (d, a), checks, kit.dmax(pts), a, digest)\n\n\ndef build_bragg(spec, root, seed):\n    text, pts, digest = load(root, spec['asset'])\n    lat = lattice(pts, spec['diameter_nm'])\n    d111, D, n = lat['d111'], lat['nn'], n_eff(spec)\n    theta = spec.get('theta_deg', 0)\n    s2 = math.sin(math.radians(theta)) ** 2\n    if spec['ask'] == 'peak':\n        value = peak(d111, n, theta)\n        cands = [dict(rule='diameter_as_spacing', value=peak(D, n, theta), plausibility=3, reason='把球径当作密排面间距。'),\n                 dict(rule='no_factor_two', value=value / 2, plausibility=2, reason='Bragg 条件漏掉因子 2。'),\n                 dict(rule='d200_planes', value=peak(lat['a'] / 2, n, theta), plausibility=2, reason='用 (200) 面间距 a/2。'),\n                 dict(rule='cell_edge_as_spacing', value=peak(lat['a'], n, theta), plausibility=2, reason='把常规晶胞边长当作面间距。')]\n        if spec.get('n_eff'):\n            cands += [dict(rule='no_refraction', value=2 * d111 * n * math.cos(math.radians(theta)), plausibility=3,\n                           reason='用 2 d n cosθ，忽略了入射光在薄膜表面的折射（应为 √(n²−sin²θ)）。'),\n                      dict(rule='ignore_angle', value=peak(d111, n, 0), plausibility=2, reason='忽略入射角，按正入射计算。'),\n                      dict(rule='angle_from_surface', value=2 * d111 * math.sqrt(n * n - math.cos(math.radians(theta)) ** 2),\n                           plausibility=2, reason='把入射角当作与表面的夹角。'),\n                      dict(rule='sin_not_squared', value=2 * d111 * math.sqrt(n * n - math.sin(math.radians(theta))), plausibility=1,\n                           reason='sinθ 未平方。')]\n        else:\n            ns, nm = spec['n_sphere'], spec['n_medium']\n            cands += [dict(rule='linear_index_average', value=peak(d111, FILL * ns + (1 - FILL) * nm, theta), plausibility=3,\n                           reason='对折射率本身而非其平方做体积平均。'),\n                      dict(rule='no_index', value=peak(d111, 1.0, theta), plausibility=2, reason='忽略折射率（取 n = 1）。'),\n                      dict(rule='sphere_index', value=peak(d111, ns, theta), plausibility=2, reason='用球的折射率代替有效折射率。'),\n                      dict(rule='voids_as_air', value=peak(d111, math.sqrt(FILL * ns * ns + (1 - FILL)), theta) if nm != 1 else None,\n                           plausibility=3, reason='没有把空隙中的介质折射率代入（仍按空气）。'),\n                      dict(rule='wrong_fill_fraction', value=peak(d111, math.sqrt(0.5 * ns * ns + 0.5 * nm * nm), theta), plausibility=1,\n                           reason='体积分数按 1:1 估计。')]\n        question = ('%s %s %s What is the vacuum wavelength, in nm, of the first-order Bragg reflection from the close-packed planes?'\n                    % (subject(spec), optics_text(spec),\n                       'Light is incident from air at %g° from the film normal.' % theta if theta else 'Light is incident along the film normal.'))\n        decimals, tol, sep, unit = 1, '0.05', '5.0', 'nm'\n        reason = 'λ = 2 d111 √(n_eff² − sin²θ)，d111 = %.4f nm，n_eff = %.5f。' % (d111, n)\n    else:\n        lam = spec['target_nm']\n        s = n * n - (lam / (2 * d111)) ** 2\n        if not 0 < s < 1:\n            raise ValueError('Target wavelength not reachable at any angle')\n        value = math.degrees(math.asin(math.sqrt(s)))\n        c = lam / (2 * d111 * n)\n        cands = [dict(rule='no_refraction', value=math.degrees(math.acos(c)) if c <= 1 else None, plausibility=3,\n                      reason='用 λ = 2 d n cosθ 反解，忽略折射。'),\n                 dict(rule='from_surface', value=90 - value, plausibility=2, reason='报告了与薄膜表面的夹角。'),\n                 dict(rule='diameter_as_spacing', value=math.degrees(math.asin(math.sqrt(n * n - (lam / (2 * D)) ** 2)))\n                      if 0 < n * n - (lam / (2 * D)) ** 2 < 1 else None, plausibility=3, reason='把球径当作密排面间距。'),\n                 dict(rule='sin_not_squared', value=math.degrees(math.asin(s)), plausibility=2, reason='解出 sinθ 时未开方。'),\n                 dict(rule='refraction_angle_inside', value=math.degrees(math.asin(math.sqrt(s) / n)), plausibility=2,\n                      reason='报告了膜内的折射角而非空气中的入射角。')]\n        question = ('%s %s At what angle of incidence from the film normal, in degrees (light incident from air), does the first-order '\n                    'Bragg reflection from the close-packed planes occur at a vacuum wavelength of %g nm?' % (subject(spec), optics_text(spec), lam))\n        decimals, tol, sep, unit = 1, '0.05', '1.0', 'degree'\n        reason = 'sin²θ = n_eff² − (λ/2d111)²，d111 = %.4f nm，n_eff = %.3f。' % (d111, n)\n    checks = dict(spheres=len(pts), d111_nm=d111, n_eff=n, theta_deg=theta, fill_fraction=FILL, sample=spec['sample'],\n                  measured_peak_nm=spec.get('measured_peak_nm'), paper_expected_nm=spec.get('paper_expected_nm'),\n                  limits='理想 FCC 接触球与有效介质近似；实测峰受尺寸分布、缺陷与多面衍射影响，审核侧附实测值供比较。')\n    return result(spec, text, question, value, cands, decimals, tol, sep, unit, seed, reason, checks, kit.dmax(pts), lat['a'], digest)\n\n\ndef build_design(spec, root, seed):\n    rows, inputs, hashes = [], [], {}\n    for asset, (sample, diameter) in zip(spec['candidates'], spec['diameters']):\n        text, pts, digest = load(root, asset)\n        lat = lattice(pts, diameter)\n        name = asset.rsplit('/', 1)[1]\n        ns, nm = spec['n_sphere'], spec['n_medium']\n        n = math.sqrt(FILL * ns * ns + (1 - FILL) * nm * nm)\n        rows.append(dict(sample=sample, name=name, D=lat['nn'], a=lat['a'], lam=peak(lat['d111'], n, 0),\n                         wrong=dict(diameter_as_spacing=peak(lat['nn'], n, 0), no_index=peak(lat['d111'], 1.0, 0),\n                                    linear_index_average=peak(lat['d111'], FILL * ns + (1 - FILL) * nm, 0),\n                                    sphere_index=peak(lat['d111'], ns, 0)), extent=kit.dmax(pts)))\n        inputs.append(dict(name=name, format='sphere-centres', unit='nm', text=text))\n        hashes[asset] = digest\n    t, goal = spec['target_nm'], spec['goal']\n    notes = dict(diameter_as_spacing='把球径当作密排面间距', no_index='忽略折射率', linear_index_average='对折射率本身做体积平均',\n                 sphere_index='用球的折射率代替有效折射率')\n    why = {}\n    if goal == 'closest':\n        ranked = sorted(rows, key=lambda r: abs(r['lam'] - t))\n        best, runner = ranked[0], ranked[1]\n        if abs(runner['lam'] - t) < 1.5 * abs(best['lam'] - t) or abs(runner['lam'] - t) - abs(best['lam'] - t) < 10:\n            raise ValueError('Winning margin too small')\n        for rule in notes:\n            pick = min(rows, key=lambda r: abs(r['wrong'][rule] - t))\n            if pick is not best and pick['sample'] not in why:\n                why[pick['sample']] = (rule, '%s时它的反射（%.1f nm）最接近目标。' % (notes[rule], pick['wrong'][rule]), 3)\n        for r in rows:\n            if r is not best and r['sample'] not in why:\n                why[r['sample']] = ('farther_from_target', '正确模型下反射在 %.1f nm，离目标更远。' % r['lam'], 2)\n        goal_text = 'its first-order normal-incidence Bragg reflection from the close-packed planes is closest to %g nm' % t\n        reason_ok = '正确模型下反射在 %.1f nm，最接近目标。' % best['lam']\n    else:\n        ok = [r for r in rows if r['lam'] < t]\n        if not ok:\n            raise ValueError('No candidate meets the constraint')\n        best = max(ok, key=lambda r: r['D'])\n        if min(abs(r['lam'] - t) for r in rows) < 10:\n            raise ValueError('A candidate sits too close to the constraint')\n        for r in rows:\n            if r is best:\n                continue\n            if r['lam'] >= t:\n                fooled = [rule for rule in notes if r['wrong'][rule] < t]\n                why[r['sample']] = (('passes_if_' + fooled[0]) if fooled else 'violates_limit',\n                                    '反射在 %.1f nm，超出上限%s。' % (r['lam'], '；若%s会误判为满足' % notes[fooled[0]] if fooled else ''),\n                                    3 if fooled else 2)\n            else:\n                why[r['sample']] = ('satisfies_but_smaller', '反射在 %.1f nm 满足上限，但球径 %.2f nm 不是最大。' % (r['lam'], r['D']), 2)\n        goal_text = 'the spheres are as large as possible while its first-order normal-incidence Bragg reflection from the ' \\\n                    'close-packed planes stays below %g nm' % t\n        reason_ok = '满足上限的样品中球径最大（%.2f nm，反射 %.1f nm）。' % (best['D'], best['lam'])\n    right = '%s (%s)' % (best['sample'], best['name'])\n    others = [(why[r['sample']][0], '%s (%s)' % (r['sample'], r['name']), why[r['sample']][1], why[r['sample']][2]) for r in rows if r is not best]\n    order = kit.place(('correct', right, reason_ok, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('The four files list the sphere centres (nm) of model opal crystallites made from four different polystyrene sphere '\n                'batches (files named by sample; each built from that sample\\'s published sphere diameter; neighbouring spheres touch). '\n                '%s %s You must choose one sample for a new film such that %s. Which sample should you choose?'\n                % (conditions('polystyrene'), optics_text(spec), goal_text))\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(candidates=[{k: r[k] for k in ('sample', 'D', 'a', 'lam')} for r in rows], goal=goal, target_nm=t,\n                            measured_peaks_nm=spec.get('measured_peaks_nm'),\n                            design_note='设计选择：四个候选均为论文实际合成的样品，性质由模型坐标计算。',\n                            limits='理想 FCC 接触球与有效介质近似。'),\n                scales=dict(input_nm=max(r['extent'] for r in rows), reasoning_nm=max(r['a'] for r in rows),\n                            reasoning_definition='晶格周期：候选中最大的常规晶胞边长 a'),\n                input_hashes=hashes)\n",
  "task_families/protein_design.py": "\"\"\"Protein design choices with computed geometric evidence (biology 0.1-1 and 1-10 nm).\n\ndisulfide_design (0.1-1 nm): choose the one residue pair (of four) that meets stated disulfide-engineering\n    screening windows for the Cα–Cα and Cβ–Cβ distances; every other pair misses a window by a margin.\nfret_design (1-10 nm): choose the labelling-site pair (of four) whose point-dye FRET efficiency for a stated R0\n    is closest to a target; the winner must lead clearly.\nInputs are ATOM records of the residues involved, copied unchanged from the PDB entry.\n\"\"\"\nimport math\nfrom . import kit\nfrom .local_geometry import read_pdb_residues\n\nVERSION = '0.1.0'\nCA_WINDOW = (4.4, 6.8)\nCB_WINDOW = (3.45, 4.50)\nMARGIN = 0.2          # angstrom: failing pairs miss a window by at least this much\n\n\ndef excerpt(spec, root, numbers):\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    residues, order, altloc = read_pdb_residues(raw.decode('utf-8'), spec['chain'])\n    if any(n not in residues for n in numbers) or altloc & set(numbers):\n        raise ValueError('Residue missing or has alternate locations')\n    text = '\\n'.join(line for n in sorted(set(numbers)) for line in residues[n]['lines']) + '\\nEND\\n'\n    return residues, text, kit.sha256(raw)\n\n\ndef name(res, n):\n    return '%s%d' % (res[n]['name'].strip().title(), n)\n\n\ndef finish(spec, seed, correct, others, reason, question, text, digest, checks, reasoning_nm, definition, pdb):\n    order = kit.place(('correct', correct, reason, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    return dict(question=question, scope=spec['scope'],\n                inputs=[dict(name='%s-%s-design-excerpt.pdb' % (pdb, spec['id'].split('-')[-1]), format='pdb-excerpt', unit='angstrom', text=text)],\n                numeric=None, options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None, checks=checks,\n                scales=dict(input_nm=reasoning_nm, reasoning_nm=reasoning_nm, reasoning_definition=definition), input_hashes={spec['asset']: digest})\n\n\ndef build_disulfide(spec, root, seed):\n    pairs = [tuple(p) for p in spec['pairs']]\n    residues, text, digest = excerpt(spec, root, [n for p in pairs for n in p])\n    rows = []\n    for i, j in pairs:\n        if residues[i]['name'] in ('CYS', 'GLY') or residues[j]['name'] in ('CYS', 'GLY') or abs(i - j) < 3:\n            raise ValueError('Pairs must be non-Cys, non-Gly and at least three residues apart')\n        a, b = residues[i]['atoms'], residues[j]['atoms']\n        dca, dcb = math.dist(a['CA'], b['CA']), math.dist(a['CB'], b['CB'])\n        miss_ca = max(CA_WINDOW[0] - dca, dca - CA_WINDOW[1], 0)\n        miss_cb = max(CB_WINDOW[0] - dcb, dcb - CB_WINDOW[1], 0)\n        rows.append(dict(pair=(i, j), label='%s–%s' % (name(residues, i), name(residues, j)), dca=dca, dcb=dcb, miss_ca=miss_ca, miss_cb=miss_cb))\n    ok = [r for r in rows if r['miss_ca'] == 0 and r['miss_cb'] == 0]\n    if len(ok) != 1:\n        raise ValueError('Exactly one pair must meet both windows')\n    if any(0 < max(r['miss_ca'], r['miss_cb']) < MARGIN for r in rows if r is not ok[0]):\n        raise ValueError('A failing pair sits too close to a window')\n    others = []\n    for r in rows:\n        if r is ok[0]:\n            continue\n        if r['miss_ca'] == 0:\n            others.append(('calpha_only', r['label'], 'Cα–Cα %.2f Å 在窗口内，但 Cβ–Cβ %.2f Å 不在 3.45–4.50 Å（只看 Cα 会误选）。' % (r['dca'], r['dcb']), 3))\n        elif r['miss_cb'] == 0:\n            others.append(('cbeta_only', r['label'], 'Cβ–Cβ %.2f Å 在窗口内，但 Cα–Cα %.2f Å 不在 4.4–6.8 Å（只看 Cβ 会误选）。' % (r['dcb'], r['dca']), 3))\n        else:\n            others.append(('both_out', r['label'], 'Cα–Cα %.2f Å、Cβ–Cβ %.2f Å 均不在窗口内。' % (r['dca'], r['dcb']), 2))\n    w = ok[0]\n    question = ('The excerpt contains the ATOM records of the %d residues involved, from chain %s of PDB entry %s (%s), copied unchanged (angstrom). '\n                'To engineer a new disulfide bond, both residues of one pair will be mutated to cysteine. Use these screening windows: '\n                'Cα–Cα distance between 4.4 and 6.8 Å and Cβ–Cβ distance between 3.45 and 4.50 Å (both inclusive). Exactly one of the '\n                'four candidate pairs meets both windows. Which pair should you mutate?' % (len({n for p in pairs for n in p}), spec['chain'], spec['pdb'], spec['context']))\n    return finish(spec, seed, w['label'], others, 'Cα–Cα %.2f Å，Cβ–Cβ %.2f Å，两项均在窗口内。' % (w['dca'], w['dcb']), question, text, digest,\n                  dict(pairs=[{k: r[k] for k in ('label', 'dca', 'dcb', 'miss_ca', 'miss_cb')} for r in rows], windows=dict(CA=CA_WINDOW, CB=CB_WINDOW),\n                       design_note='设计选择：蛋白工程中筛选可引入二硫键的位点；证据为计算的几何距离。',\n                       limits='只用几何窗口筛选；不评估二面角、应变能或对折叠稳定性的实际影响。'),\n                  max(r['dca'] for r in rows) / 10, '候选残基对中最大的 Cα–Cα 距离', spec['pdb'])\n\n\ndef efficiency(r, r0, power=6):\n    return 1 / (1 + (r / r0) ** power)\n\n\ndef build_fret(spec, root, seed):\n    pairs = [tuple(p) for p in spec['pairs']]\n    atom, r0, t = spec['atom'], spec['r0_nm'], spec['target']\n    residues, text, digest = excerpt(spec, root, [n for p in pairs for n in p])\n    rows = []\n    for i, j in pairs:\n        r = math.dist(residues[i]['atoms'][atom], residues[j]['atoms'][atom]) / 10\n        rows.append(dict(label='%s–%s' % (name(residues, i), name(residues, j)), r=r, E=efficiency(r, r0),\n                         wrong=dict(complement=1 - efficiency(r, r0), inverse_square=efficiency(r, r0, 2), angstrom_as_nm=efficiency(r * 10, r0 * 10 / 10))))\n    if any(not 1.0 <= x['r'] < 10 for x in rows):\n        raise ValueError('Label distances must lie in the 1-10 nm cell')\n    ranked = sorted(rows, key=lambda x: abs(x['E'] - t))\n    best, runner = ranked[0], ranked[1]\n    if abs(runner['E'] - t) < 1.5 * abs(best['E'] - t) or abs(runner['E'] - t) - abs(best['E'] - t) < 0.05:\n        raise ValueError('Winning margin too small')\n    notes = dict(complement='把效率算成 1 − E', inverse_square='把 r⁶ 写成 r²')\n    why = {}\n    for rule in notes:\n        pick = min(rows, key=lambda x: abs(x['wrong'][rule] - t))\n        if pick is not best and pick['label'] not in why:\n            why[pick['label']] = (rule, '%s时它最接近目标（%.3f）。' % (notes[rule], pick['wrong'][rule]), 3)\n    for x in rows:\n        if x is not best and x['label'] not in why:\n            why[x['label']] = ('farther_from_target', 'r = %.2f nm，E = %.3f，离目标更远。' % (x['r'], x['E']), 2)\n    others = [(why[x['label']][0], x['label'], why[x['label']][1], why[x['label']][2]) for x in rows if x is not best]\n    kind = 'nucleotide' if spec.get('nucleic') else 'residue'\n    question = ('The excerpt contains the ATOM records of the %d %ss involved, from chain %s of PDB entry %s (%s), copied unchanged (angstrom). You will '\n                'attach a donor and an acceptor dye to one of the four candidate pairs; treat each dye as a point at the %s atom of its %s, '\n                'with Förster radius R0 = %.1f nm and the standard point-dipole Förster law. You want a steady-state FRET efficiency as close '\n                'as possible to %.2f. Which pair should you label?' % (len({n for p in pairs for n in p}), kind, spec['chain'], spec['pdb'], spec['context'], atom, kind, r0, t))\n    return finish(spec, seed, best['label'], others, 'r = %.2f nm，E = %.3f，最接近目标。' % (best['r'], best['E']), question, text, digest,\n                  dict(pairs=[{k: x[k] for k in ('label', 'r', 'E')} for x in rows], r0_nm=r0, target=t, atom=atom,\n                       design_note='设计选择：按目标效率选择标记位点（推断的逆问题）；证据为计算的距离与 Förster 定律。',\n                       limits='点偶极、取向因子已含于 R0；不含染料连接臂长度与构象涨落。'),\n                  max(x['r'] for x in rows), '候选标记对中最大的点间距离', spec['pdb'])\n",
  "task_families/quantum_dot.py": "\"\"\"CdSe quantum dots (quantum, 1-10 nm): size-dependent optics from the Yu et al. (2003) empirical curves.\n\nInputs are model zinc-blende nanocrystals (tools/build_qdot_assets.py). The question states the published\nsizing polynomial and extinction law and defines the size as the largest atom-atom distance, so the answer is\nfixed by the coordinates: invert D(lambda) for the first excitonic peak, evaluate eps = 5857 D^2.65, derive a\nconcentration from an absorbance, or choose the particle that meets an optical target (design).\n\"\"\"\nimport itertools\nimport math\nimport numpy as np\nfrom . import kit\n\nVERSION = '0.1.0'\nCOEF = (1.6122e-9, -2.6575e-6, 1.6242e-3, -0.4277, 41.57)\nLO, HI = 400.0, 700.0\nCURVE = ('Use the empirical CdSe sizing curve of Yu et al. (Chem. Mater. 2003): D = 1.6122e-9·λ⁴ − 2.6575e-6·λ³ + 1.6242e-3·λ² − '\n         '0.4277·λ + 41.57, with D the particle diameter in nm and λ the wavelength of the first excitonic absorption peak in nm '\n         '(valid for 400–700 nm), and its extinction law ε = 5857·D^2.65 M⁻¹ cm⁻¹ at that peak. Take D as the largest distance '\n         'between any two atoms of the supplied nanocrystal.')\nSUBJECT = 'The XYZ file lists every atom of a model zinc-blende CdSe nanocrystal (no ligands; angstrom).'\nCONDITIONS = ('Model conditions: the nanocrystal is an ideal spherical cut from bulk zinc-blende CdSe (assumed lattice constant 6.08 Å) '\n              'without ligands, surface relaxation or shape anisotropy; the empirical curves above were calibrated by Yu et al. on real '\n              'nanocrystals whose sizes were measured by TEM, and are applied here to this ideal particle.')\n\n\ndef diameter_curve(lam):\n    return sum(c * lam ** (4 - i) for i, c in enumerate(COEF))\n\n\ndef peak(d):\n    \"\"\"First excitonic peak for diameter d (nm): bisection on the monotonic 400-700 nm branch.\"\"\"\n    if not diameter_curve(LO) < d < diameter_curve(HI):\n        return None\n    lo, hi = LO, HI\n    for _ in range(80):\n        mid = (lo + hi) / 2\n        lo, hi = (mid, hi) if diameter_curve(mid) < d else (lo, mid)\n    return (lo + hi) / 2\n\n\ndef eps(d):\n    return 5857 * d ** 2.65\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    pts = kit.parse_xyz(text)[1]\n    return text, pts, kit.sha256(raw)\n\n\ndef sizes(pts):\n    a = np.asarray(pts)\n    dmax = max(float(np.sqrt(((a[i:i + 500, None, :] - a[None, :, :]) ** 2).sum(axis=2)).max()) for i in range(0, len(a), 500)) / 10\n    if abs(dmax - kit.dmax(pts) / 10) > 1e-9:\n        raise ValueError('Dmax implementations disagree')\n    c = a.mean(axis=0)\n    r = np.sqrt(((a - c) ** 2).sum(axis=1))\n    span = a.max(axis=0) - a.min(axis=0)\n    return dict(D=dmax, R=dmax / 2, rg=float(np.sqrt((r ** 2).mean())) / 10, box=float(np.sqrt((span ** 2).sum())) / 10)\n\n\ndef build(spec, root, seed):\n    text, pts, digest = load(root, spec['asset'])\n    s = sizes(pts)\n    ask = spec['ask']\n    wrong_sizes = [('bounding_box_diagonal', s['box'], 3, '用包围盒对角线代替最大原子间距。'),\n                   ('two_rg', 2 * s['rg'], 2, '用 2 倍回转半径代替直径。'),\n                   ('radius_as_diameter', s['R'], 2, '把半径当作直径代入。')]\n    if ask == 'peak':\n        value = peak(s['D'])\n        cands = [dict(rule=r, value=peak(x), plausibility=p, reason=why) for r, x, p, why in wrong_sizes]\n        cands.append(dict(rule='diameter_in_angstrom', value=peak(s['D'] * 10), plausibility=1, reason='D 用 Å 代入（超出曲线范围）。'))\n        text_q, decimals, tol, sep, unit = 'At what wavelength, in nm, is its first excitonic absorption peak?', 1, '0.05', '3.0', 'nm'\n        reason = 'D = %.4f nm，反解 D(λ) 得 λ = %.2f nm。' % (s['D'], value)\n    elif ask == 'epsilon':\n        value = eps(s['D']) / 1e5\n        cands = [dict(rule=r, value=eps(x) / 1e5, plausibility=p, reason=why) for r, x, p, why in wrong_sizes]\n        cands += [dict(rule='cubic_exponent', value=5857 * s['D'] ** 3 / 1e5, plausibility=2, reason='指数误用 3（体积标度）。'),\n                  dict(rule='exponent_as_factor', value=5857 * 2.65 * s['D'] / 1e5, plausibility=1, reason='把 D^2.65 算成 2.65·D。')]\n        text_q, decimals, tol, sep, unit = ('What is its molar extinction coefficient at the first excitonic peak, in units of 10⁵ M⁻¹ cm⁻¹?',\n                                            3, '0.0005', '0.100', '1e5 M^-1 cm^-1')\n        reason = 'ε = 5857 × %.4f^2.65 = %.0f M⁻¹ cm⁻¹。' % (s['D'], eps(s['D']))\n    elif ask == 'concentration':\n        absorb, path = spec['absorbance'], spec['path_cm']\n        conc = lambda d: absorb / (eps(d) * path) * 1e6\n        value = conc(s['D'])\n        cands = [dict(rule=r, value=conc(x), plausibility=p, reason=why) for r, x, p, why in wrong_sizes]\n        cands += [dict(rule='path_in_mm', value=value / 10, plausibility=2, reason='光程按 10 mm 数值代入（多除以 10）。'),\n                  dict(rule='cubic_exponent', value=absorb / (5857 * s['D'] ** 3 * path) * 1e6, plausibility=2, reason='ε 的指数误用 3。')]\n        text_q = ('A dilute solution of these nanocrystals has an absorbance of %.2f at the first excitonic peak in a %.1f cm cuvette. '\n                  'What is the nanocrystal concentration, in µM (Beer–Lambert law)?' % (absorb, path))\n        decimals, tol, sep, unit = 3, '0.0005', '0.050', 'uM'\n        reason = 'c = A/(ε l) = %.2f/(%.0f × %.1f) = %.4f µM。' % (absorb, eps(s['D']), path, value)\n    else:\n        raise ValueError('Unknown ask')\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(float(sep) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit=unit, seed=seed, context=spec['id'], correct_reason=reason)\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit,\n                               distractor_separation=str(float(sep) / 2))\n    return dict(question='%s %s %s %s' % (SUBJECT, CURVE, CONDITIONS, text_q), scope=spec['scope'],\n                inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format='xyz', unit='angstrom', text=text)],\n                numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n                options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n                checks=dict(atoms=len(pts), sizes_nm=s, peak_nm=peak(s['D']), epsilon=eps(s['D']),\n                            limits='模型粒子（理想闪锌矿球形切割，无配体）；经验曲线只在其拟合尺寸范围内可靠。'),\n                scales=dict(input_nm=s['D'], reasoning_nm=s['D'], reasoning_definition='纳米晶最大原子间距（整个粒子）'),\n                input_hashes={spec['asset']: digest})\n\n\ndef build_inference(spec, root, seed):\n    return build(spec, root, seed)\n\n\ndef build_design(spec, root, seed):\n    rows, inputs, hashes = [], [], {}\n    for asset in spec['candidates']:\n        text, pts, digest = load(root, asset)\n        s = sizes(pts)\n        name = asset.rsplit('/', 1)[1]\n        rows.append(dict(name=name, D=s['D'], lam=peak(s['D']), wrong=dict(radius_as_diameter=peak(s['R']), two_rg=peak(2 * s['rg']),\n                                                                           bounding_box_diagonal=peak(s['box']))))\n        inputs.append(dict(name=name, format='xyz', unit='angstrom', text=text))\n        hashes[asset] = digest\n    goal, t = spec['goal'], spec['target_nm']\n    notes = dict(radius_as_diameter='把半径当直径', two_rg='用 2 倍回转半径', bounding_box_diagonal='用包围盒对角线')\n    why = {}\n    if goal == 'closest':\n        ranked = sorted(rows, key=lambda r: abs(r['lam'] - t))\n        best = ranked[0]\n        if abs(ranked[1]['lam'] - t) < 1.5 * abs(best['lam'] - t) or abs(ranked[1]['lam'] - t) - abs(best['lam'] - t) < 5:\n            raise ValueError('Winning margin too small')\n        for rule in notes:\n            pick = min((r for r in rows if r['wrong'][rule] is not None), key=lambda r: abs(r['wrong'][rule] - t), default=None)\n            if pick is not None and pick is not best and pick['name'] not in why:\n                why[pick['name']] = (rule, '%s时它的吸收峰（%.1f nm）最接近目标。' % (notes[rule], pick['wrong'][rule]), 3)\n        goal_text = 'its first excitonic absorption peak is closest to %g nm' % t\n        reason_ok = '吸收峰 %.1f nm，最接近目标。' % best['lam']\n        for r in rows:\n            if r is not best and r['name'] not in why:\n                why[r['name']] = ('farther_from_target', '吸收峰 %.1f nm，离目标更远。' % r['lam'], 2)\n    else:\n        ok = [r for r in rows if r['lam'] >= t]\n        if not ok or min(abs(r['lam'] - t) for r in rows) < 3:\n            raise ValueError('No candidate meets the target, or one sits too close to it')\n        best = min(ok, key=lambda r: r['D'])\n        for r in rows:\n            if r is best:\n                continue\n            if r['lam'] < t:\n                fooled = [k for k in notes if r['wrong'][k] is not None and r['wrong'][k] >= t]\n                why[r['name']] = (('passes_if_' + fooled[0]) if fooled else 'peak_too_blue',\n                                  '吸收峰 %.1f nm，未达到 %g nm%s。' % (r['lam'], t, '；若%s会误判为满足' % notes[fooled[0]] if fooled else ''), 3 if fooled else 2)\n            else:\n                why[r['name']] = ('meets_but_larger', '吸收峰 %.1f nm 满足要求，但粒子更大（D = %.2f nm）。' % (r['lam'], r['D']), 2)\n        goal_text = 'it is the smallest particle whose first excitonic absorption peak lies at or beyond %g nm' % t\n        reason_ok = '满足要求的粒子中最小（D = %.2f nm，吸收峰 %.1f nm）。' % (best['D'], best['lam'])\n    others = [(why[r['name']][0], r['name'], why[r['name']][1], why[r['name']][2]) for r in rows if r is not best]\n    order = kit.place(('correct', best['name'], reason_ok, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('The four XYZ files list every atom of four model zinc-blende CdSe nanocrystals (no ligands; angstrom). %s You must choose '\n                'one nanocrystal for a device such that %s. Which file should you choose?' % (CURVE + ' ' + CONDITIONS.replace('the nanocrystal is', 'each nanocrystal is', 1).replace('this ideal particle', 'these ideal particles'), goal_text))\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(candidates=[dict(name=r['name'], D=r['D'], peak_nm=r['lam']) for r in rows], goal=goal, target_nm=t,\n                            design_note='设计选择：按经验曲线选择粒径以达到目标吸收（推断的逆问题）。',\n                            limits='模型粒子；经验曲线只在拟合尺寸范围内可靠。'),\n                scales=dict(input_nm=max(r['D'] for r in rows), reasoning_nm=max(r['D'] for r in rows),\n                            reasoning_definition='候选中最大的纳米晶最大原子间距'),\n                input_hashes=hashes)\n",
  "task_families/rotational.py": "\"\"\"Rigid-rotor rotational spectroscopy of a supplied molecular geometry (quantum / chemistry, 0.1-1 and 1-10 nm).\n\nrotational_line (inference): predict the frequency of one J = 1 <- 0 rotational transition (1_01, 1_11 or 1_10 <- 0_00)\n    from the geometry: masses -> centre of mass -> inertia tensor -> principal moments -> rotational constants A >= B >= C\n    -> the J = 1 level energies (B + C, A + C, A + B). The level formulas are standard rigid-rotor results and are not\n    given in the question; masses, constants and the model are.\nisotopologue_design (design, the inverse problem): choose the hydrogen atom whose H -> D substitution shifts a stated\n    line the most, as when deciding which singly deuterated isotopologue to synthesise for a substitution (Kraitchman)\n    structure. The shift depends on the distance from the principal axes, not simply on the distance from the centre of\n    mass; the family records that shortcut.\n\nMasses (most abundant isotopes, u) and constants are written in the question; principal moments come from a cyclic\nJacobi diagonalisation (the independent checker uses the closed-form cubic roots instead).\n\"\"\"\nimport math\nimport re\nfrom . import kit, chem_names\n\nVERSION = '0.2.0'\nMASS = {'H': '1.007825', 'D': '2.014102', 'C': '12.000000', 'N': '14.003074', 'O': '15.994915', 'F': '18.998403',\n        'Si': '27.976927', 'P': '30.973762', 'S': '31.972071', 'Cl': '34.968853', 'Br': '78.918338', 'I': '126.904472'}\n# Standard atomic weights (IUPAC abridged): the 'average masses' misconception.\nAVERAGE = {'H': 1.008, 'C': 12.011, 'N': 14.007, 'O': 15.999, 'F': 18.998, 'Si': 28.085, 'P': 30.974, 'S': 32.06,\n           'Cl': 35.45, 'Br': 79.904, 'I': 126.90}\nPLANCK = '6.62607015e-34'          # J s (exact, SI 2019)\nDALTON = '1.66053906660e-27'       # kg (CODATA 2018)\nMAX_ATOMS = 60                     # broadband rotational spectroscopy reaches molecules of this size; larger hosts are left out\nLINES = {\n    '101': dict(label='1_01 ← 0_00', sum=('B', 'C'), kind='a-type', others=('111', '110')),\n    '111': dict(label='1_11 ← 0_00', sum=('A', 'C'), kind='b-type', others=('101', '110')),\n    '110': dict(label='1_10 ← 0_00', sum=('A', 'B'), kind='c-type', others=('101', '111')),\n}\nDESIGN_RATIO = 1.15                # the best substitution must exceed the runner-up by 15 % ...\nDESIGN_MIN_MHZ = 0.5               # ... and by at least 0.5 MHz\n\n\ndef factor_mhz():\n    \"\"\"h / (8 pi^2) in MHz u angstrom^2.\"\"\"\n    return float(PLANCK) / (8 * math.pi ** 2 * float(DALTON) * 1e-20) / 1e6\n\n\ndef centre(masses, points):\n    total = math.fsum(masses)\n    return [math.fsum(m * p[k] for m, p in zip(masses, points)) / total for k in range(3)]\n\n\ndef tensor(masses, points, origin=None):\n    c = centre(masses, points) if origin is None else origin\n    t = [[0.0] * 3 for _ in range(3)]\n    for m, p in zip(masses, points):\n        r = kit.sub(p, c)\n        rr = kit.dot(r, r)\n        for i in range(3):\n            for j in range(3):\n                t[i][j] += m * ((rr if i == j else 0.0) - r[i] * r[j])\n    return t\n\n\ndef jacobi(t, sweeps=50):\n    \"\"\"Eigenvalues and eigenvectors (columns of v) of a symmetric 3x3 matrix by cyclic Jacobi rotations.\"\"\"\n    a = [row[:] for row in t]\n    v = [[float(i == j) for j in range(3)] for i in range(3)]\n    for _ in range(sweeps):\n        off = math.fsum(a[i][j] ** 2 for i in range(3) for j in range(3) if i != j)\n        if off < 1e-26 * max(1.0, math.fsum(a[i][i] ** 2 for i in range(3))):\n            break\n        for p, q in ((0, 1), (0, 2), (1, 2)):\n            if abs(a[p][q]) < 1e-300:\n                continue\n            theta = (a[q][q] - a[p][p]) / (2 * a[p][q])\n            t_ = math.copysign(1.0, theta) / (abs(theta) + math.sqrt(theta * theta + 1))\n            c = 1 / math.sqrt(t_ * t_ + 1)\n            s = t_ * c\n            for k in range(3):\n                akp, akq = a[k][p], a[k][q]\n                a[k][p], a[k][q] = c * akp - s * akq, s * akp + c * akq\n            for k in range(3):\n                apk, aqk = a[p][k], a[q][k]\n                a[p][k], a[q][k] = c * apk - s * aqk, s * apk + c * aqk\n            for k in range(3):\n                vkp, vkq = v[k][p], v[k][q]\n                v[k][p], v[k][q] = c * vkp - s * vkq, s * vkp + c * vkq\n    order = sorted(range(3), key=lambda i: a[i][i])\n    return [a[i][i] for i in order], [[v[k][i] for k in range(3)] for i in order]\n\n\ndef constants(moments):\n    \"\"\"Rotational constants A >= B >= C in MHz from principal moments in u angstrom^2.\"\"\"\n    f = factor_mhz()\n    a, b, c = sorted(moments)\n    return dict(A=f / a, B=f / b, C=f / c)\n\n\ndef line(abc, key):\n    x, y = LINES[key]['sum']\n    return abc[x] + abc[y]\n\n\ndef masses_of(elements, table=MASS):\n    return [float(table[e]) for e in elements]\n\n\ndef student_xyz(text):\n    \"\"\"The attached XYZ: count and atom rows unchanged, the dataset conformer id dropped from the comment line (an id\n    would let a model look the molecule up; tests/test_admission.py).\"\"\"\n    lines = text.split('\\n')\n    lines[1] = re.sub(r',? conformer \\S+?(?=,|$)', '', lines[1])\n    return '\\n'.join(lines)\n\n\ndef load(spec, root):\n    path = root / 'docs' / spec['asset']\n    raw = path.read_bytes()\n    text = student_xyz(raw.decode('utf-8-sig'))\n    elements, points = kit.parse_xyz(text)\n    if len(elements) > MAX_ATOMS:\n        raise ValueError('Molecule larger than %d atoms: outside the rotational-spectroscopy scope' % MAX_ATOMS)\n    if any(e not in MASS for e in elements):\n        raise ValueError('No isotope mass for an element')\n    return path, raw, text, elements, points\n\n\ndef model_text(elements):\n    present = sorted(set(elements), key=lambda e: (e != 'C', e != 'H', e))\n    masses = ', '.join('%s %s u' % (e, MASS[e]) for e in present)\n    return ('Model conditions: a rigid rotor at exactly the supplied geometry (no vibrational averaging, no centrifugal '\n            'distortion); masses of the most abundant isotopes: %s; rotational constants A ≥ B ≥ C are h/(8π²I) with '\n            'I_a ≤ I_b ≤ I_c the principal moments of inertia about the centre of mass; h = 6.62607015×10⁻³⁴ J s, '\n            '1 u = 1.66053906660×10⁻²⁷ kg.') % masses\n\n\ndef principal(elements, points, table=MASS):\n    moments, axes = jacobi(tensor(masses_of(elements, table), points))\n    return moments, axes\n\n\ndef decimals_for(value):\n    return 1 if value >= 100 else 2\n\n\n# ------------------------------------------------------------------ inference: predicted line frequency\ndef build_line(spec, root, seed):\n    path, raw, text, elements, points = load(spec, root)\n    key = spec['line']\n    masses = masses_of(elements)\n    moments, axes = principal(elements, points)\n    if min(moments) <= 1e-6:\n        raise ValueError('Linear or degenerate rotor')\n    abc = constants(moments)\n    nu = line(abc, key)\n    # Cross-check: the moments are invariant under rotation of the input frame (trace and determinant).\n    t = tensor(masses, points)\n    trace = t[0][0] + t[1][1] + t[2][2]\n    if abs(trace - sum(moments)) > 1e-8 * trace:\n        raise ValueError('Principal moments do not reproduce the tensor trace')\n    other = lambda k: line(abc, k)\n    diag = sorted(t[i][i] for i in range(3))                        # tensor diagonal in the input frame, never diagonalised\n    origin = tensor(masses, points, origin=[0.0, 0.0, 0.0])         # moments about the coordinate origin\n    heavy = [i for i, e in enumerate(elements) if e != 'H']\n    f = factor_mhz()\n    candidates = [\n        dict(rule='linear_rotor_2B', value=2 * abc['B'], plausibility=3 if key == '101' else 2,\n             reason='套用线型分子公式 ν(J=1←0) = 2B，忽略了非对称陀螺 J = 1 能级按 K 分裂。'),\n        dict(rule='four_pi_squared', value=2 * nu, plausibility=2, reason='转动常数写成 h/(4π²I)，结果大了一倍。'),\n        dict(rule='hbar_instead_of_h', value=2 * math.pi * nu, plausibility=1, reason='用 ħ/(2I)（角频率）当作以 Hz 计的频率，大了 2π 倍。'),\n        dict(rule='single_constant', value=abc[LINES[key]['sum'][0]], plausibility=1,\n             reason='只取一个转动常数 %s，没有把两个常数相加。' % LINES[key]['sum'][0]),\n        dict(rule='unrotated_tensor_diagonal', value=line(constants(diag), key), plausibility=3,\n             reason='直接用输入坐标系中惯量张量的对角元当主转动惯量，没有对角化。'),\n        dict(rule='origin_not_centre_of_mass', value=line(constants(jacobi(origin)[0]), key), plausibility=3,\n             reason='对坐标原点而不是质心计算转动惯量（没有先平移到质心）。'),\n        dict(rule='average_atomic_weights', value=line(constants(principal(elements, points, AVERAGE)[0]), key), plausibility=2,\n             reason='用元素的标准原子量而不是题设的同位素质量。'),\n        # Smaller-value mistake: sum(m r^2) about the centre of mass equals (I_a + I_b + I_c) / 2 >= I_c.\n        dict(rule='polar_moment_as_I', value=2 * f / (sum(moments) / 2), plausibility=2,\n             reason='把对质心的 Σmr²（极惯量，等于三个主惯量之和的一半）当作转动惯量，再按 2B 计算。'),\n        dict(rule='equal_masses', value=line(constants(jacobi(tensor([1.0] * len(points), points))[0]), key), plausibility=1,\n             reason='所有原子取相同质量（纯几何的惯量），没有质量加权。'),\n    ]\n    if heavy and len(heavy) < len(elements):\n        hm = [masses[i] for i in heavy]\n        hp = [points[i] for i in heavy]\n        candidates.append(dict(rule='heavy_atoms_only', value=line(constants(jacobi(tensor(hm, hp))[0]), key), plausibility=2,\n                               reason='只计重原子、忽略氢原子的贡献。'))\n    for k in LINES[key]['others']:\n        candidates.append(dict(rule='other_J1_level:%s' % k, value=other(k), plausibility=3,\n                               reason='能级标号对错：算成 %s 跃迁（%s + %s）。' % (LINES[k]['label'], *LINES[k]['sum'])))\n    decimals = decimals_for(nu)\n    tol = kit.display(0.5 * 10 ** -decimals, decimals + 1)\n    sep = kit.display(max(0.02 * nu, 20 * 10 ** -decimals), decimals)\n    between = kit.display(max(0.01 * nu, 10 * 10 ** -decimals), decimals)\n    chosen, rejected, goal, rank = kit.choose_numeric(nu, candidates, decimals=decimals, tolerance=tol, min_separation=sep,\n                                                      seed=seed, context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=between)\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(nu, chosen, decimals=decimals, unit='MHz', seed=seed, context=spec['id'],\n                                       correct_reason='质心 → 惯量张量 → Jacobi 对角化 → A、B、C → %s = %s + %s。' % (\n                                           LINES[key]['label'], *LINES[key]['sum']))\n    answer = kit.validate_numeric(options, nu, decimals=decimals, tolerance=tol, min_separation=sep, unit='MHz',\n                                  distractor_separation=between)\n    question = ('%s %s Predict the frequency of the J_KaKc = %s rotational transition of this molecule, in MHz.' % (\n        spec['context'], model_text(elements), LINES[key]['label']))\n    kappa = (2 * abc['B'] - abc['A'] - abc['C']) / (abc['A'] - abc['C'])\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=path.name, format='xyz', unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(nu, decimals), unit='MHz', decimals=decimals, tolerance=tol),\n        options=options, correct_label=answer, option_audit=audit, excluded_candidates=rejected,\n        rank=dict(target=goal, achieved=rank),\n        checks=dict(principal_moments_u_A2=moments, rotational_constants_MHz=abc, line=LINES[key]['label'],\n                    line_kind=LINES[key]['kind'], ray_kappa=kappa, trace_invariant=True,\n                    h_over_8pi2_MHz_uA2=f, centre_of_mass_offset_A=kit.norm(centre(masses, points)),\n                    limits='刚性转子、平衡几何（QM7-X 为 DFTB3+MBD 优化，SAMPL9 为挑战赛结构）；不含振动平均与离心畸变，'\n                           '与实测谱线可差约 1%%；不评估该跃迁的偶极强度（%s 跃迁需要相应的偶极分量）。' % LINES[key]['kind']),\n        scales=dict(input_nm=kit.dmax(points) / 10, reasoning_nm=kit.dmax(points) / 10,\n                    reasoning_definition='整分子转动惯量：分子最大原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n\n# ------------------------------------------------------------------ design: which H -> D substitution shifts a line the most\ndef substituted(elements, points, row, key, table=MASS):\n    masses = masses_of(elements, table)\n    masses[row] = float(MASS['D'])\n    return line(constants(jacobi(tensor(masses, points))[0]), key)\n\n\ndef shifts(elements, points, key, rows):\n    parent = line(constants(principal(elements, points)[0]), key)\n    return parent, {r: substituted(elements, points, r, key) - parent for r in rows}\n\n\ndef build_isotopologue(spec, root, seed):\n    path, raw, text, elements, points = load(spec, root)\n    key = spec['line']\n    rows = [r - 1 for r in spec['candidates']]\n    if len(rows) != 4 or len(set(rows)) != 4 or any(not 0 <= r < len(elements) or elements[r] != 'H' for r in rows):\n        raise ValueError('Exactly four distinct hydrogen rows required')\n    parent, delta = shifts(elements, points, key, rows)\n    ranked = sorted(rows, key=lambda r: -abs(delta[r]))\n    best, runner = ranked[0], ranked[1]\n    if abs(delta[best]) < DESIGN_RATIO * abs(delta[runner]) or abs(delta[best]) - abs(delta[runner]) < DESIGN_MIN_MHZ:\n        raise ValueError('Winning substitution does not lead by the required margin')\n    masses = masses_of(elements)\n    com = centre(masses, points)\n    far = max(rows, key=lambda r: math.dist(points[r], com))\n    name = lambda r: 'H%d (row %d)' % (r + 1, r + 1)\n    why = {}\n    if far != best:\n        why[far] = ('farthest_from_centre_of_mass', '离质心最远（%.2f Å），但谱线位移取决于到相应主轴的距离，不是到质心的距离。'\n                    % math.dist(points[far], com), 3)\n    for k in LINES[key]['others']:\n        _, d2 = shifts(elements, points, k, rows)\n        pick = max(rows, key=lambda r: abs(d2[r]))\n        if pick != best and pick not in why:\n            why[pick] = ('best_for_other_line:%s' % k, '对 %s 跃迁位移最大（%.2f MHz），看错了谱线。' % (LINES[k]['label'], d2[pick]), 3)\n    for c in LINES[key]['sum']:\n        parent_c = constants(principal(elements, points)[0])[c]\n        moved = {}\n        for r in rows:\n            m = masses_of(elements)\n            m[r] = float(MASS['D'])\n            moved[r] = constants(jacobi(tensor(m, points))[0])[c] - parent_c\n        pick = max(rows, key=lambda r: abs(moved[r]))\n        if pick != best and pick not in why:\n            why[pick] = ('best_for_single_constant:%s' % c, '只看转动常数 %s 的变化时它最大（%.2f MHz），忽略了谱线是两个常数之和。'\n                         % (c, moved[pick]), 2)\n    for r in rows:\n        if r != best and r not in why:\n            why[r] = ('smaller_shift', '谱线位移 %.2f MHz，小于正确项。' % delta[r], 2)\n    others = [(why[r][0], name(r), why[r][1], why[r][2], r) for r in rows if r != best]\n    order = kit.place(('correct', name(best), '取代后 %s 位移 %.2f MHz，最大（第二名 %.2f MHz）。' % (\n        LINES[key]['label'], delta[best], delta[runner]), 3, best), others, spec.get('target_position'), seed, spec['id'],\n        key=lambda q: q[1])\n    options = [dict(label=l, value=q[1]) for l, q in zip(kit.LABELS, order)]\n    answer = kit.validate_verdicts(options, [q[0] == 'correct' for q in order])\n    audit = [dict(label=l, value=q[1], rule=q[0], reason=q[2], is_correct=q[0] == 'correct', shift_MHz=round(delta[q[4]], 4),\n                  distance_from_centre_of_mass_A=round(math.dist(points[q[4]], com), 4)) for l, q in zip(kit.LABELS, order)]\n    listed = ', '.join('H%d' % (r + 1) for r in sorted(rows))\n    # Chemical identity of each candidate (advisor: name chemical entities, not rows); needs the stated total charge.\n    names = chem_names.Molecule(elements, points, spec['charge'])\n    where = [names.hydrogen(r) for r in sorted(rows)]\n    if None in where:\n        raise ValueError('A candidate hydrogen sits on an atom the naming rules do not recognise')\n    question = ('%s %s You will record the rotational spectrum of one singly deuterated isotopologue: exactly one of the '\n                'hydrogen atoms %s (rows counted from 1 after the two XYZ header lines) is replaced by deuterium, D %s u, at '\n                'the same position. Candidates: %s. You want the largest change in the frequency of the J_KaKc = %s transition '\n                'relative to the parent molecule (largest absolute shift). Exactly one candidate gives the largest shift. Which '\n                'hydrogen should be substituted?') % (spec['context'], model_text(elements), listed, MASS['D'], '; '.join(where),\n                                                      LINES[key]['label'])\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=path.name, format='xyz', unit='angstrom', text=text)],\n        numeric=None, options=options, correct_label=answer, option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(line=LINES[key]['label'], parent_line_MHz=parent, shifts_MHz={'H%d' % (r + 1): delta[r] for r in rows},\n                    margin_ratio=abs(delta[best]) / abs(delta[runner]), required_ratio=DESIGN_RATIO,\n                    margin_MHz=abs(delta[best]) - abs(delta[runner]), required_MHz=DESIGN_MIN_MHZ,\n                    shortcut_diagnostics=dict(farthest_from_centre_of_mass_is_correct=far == best),\n                    design_note='设计选择：为替代法（Kraitchman）结构测定选择单氘代位点；设计 = 谱线推断的逆问题。',\n                    limits='刚性转子、几何不随同位素改变；不评估合成难度、谱线强度与超精细结构。'),\n        scales=dict(input_nm=kit.dmax(points) / 10, reasoning_nm=kit.dmax(points) / 10,\n                    reasoning_definition='整分子转动惯量：分子最大原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/scattering.py": "\"\"\"Model-based inference families for biomolecules (legacy FRET / Guinier calculators).\n\nfret_efficiency: point donor/acceptor at named atoms, stated Foerster radius R0;\n    E = 1 / (1 + (r/R0)^6) with r the straight-line donor-acceptor distance.\nguinier_intensity: identical point scatterers at every supplied atom; Guinier\n    approximation I(q)/I(0) = exp(-q^2 Rg^2 / 3), only posed where q*Rg <= 1.3.\nThe physical models are standard; the question states the model's inputs (R0, q,\nscatterer assumption) but not the formulas, so applying the right relation is the task.\n\"\"\"\nimport math\nfrom . import kit\n\nVERSION = '0.2.0'\n\n\ndef read_chain(text, chains):\n    \"\"\"First model, ATOM records of the given chains, main alternate location, no hydrogens.\"\"\"\n    atoms, lines = [], []\n    for line in text.splitlines():\n        if line.startswith('ENDMDL'):\n            break\n        if not line.startswith('ATOM') or line[21] not in chains or line[16] not in ' A':\n            continue\n        element = (line[76:78].strip() or line[12:16].strip()[0]).capitalize()\n        if element == 'H':\n            continue\n        atoms.append(dict(chain=line[21], residue=int(line[22:26]), resname=line[17:20].strip(), name=line[12:16].strip(), element=element,\n                          xyz=tuple(float(line[c:c + 8]) for c in (30, 38, 46))))\n        lines.append(line.rstrip())\n    return atoms, lines\n\n\ndef pick(atoms, residue, name):\n    hits = [a for a in atoms if a['residue'] == residue and a['name'] == name]\n    if len(hits) != 1:\n        raise ValueError('Atom %s of residue %d not found exactly once' % (name, residue))\n    return hits[0]\n\n\ndef fret(r, r0, power=6):\n    return 1 / (1 + (r / r0) ** power)\n\n\ndef build_fret(spec, root, seed):\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    atoms, lines = read_chain(raw.decode('utf-8'), spec['chain'])\n    d, a = pick(atoms, *spec['donor']), pick(atoms, *spec['acceptor'])\n    r = math.dist(d['xyz'], a['xyz']) / 10                     # nm\n    lo, hi = sorted((spec['donor'][0], spec['acceptor'][0]))\n    markers = [a2 for a2 in atoms if a2['name'] == spec['path_atom'] and lo <= a2['residue'] <= hi]\n    markers.sort(key=lambda m: m['residue'])\n    path = None\n    if [m['residue'] for m in markers] == list(range(lo, hi + 1)):\n        path = math.fsum(math.dist(p['xyz'], q['xyz']) for p, q in zip(markers, markers[1:])) / 10\n    ca = [x for x in atoms if x['residue'] == spec['acceptor'][0] and x['name'] == spec['path_atom']]\n    near = min(math.dist(x['xyz'], y['xyz']) for x in atoms if x['residue'] == d['residue']\n               for y in atoms if y['residue'] == a['residue']) / 10\n    decimals, tol, sep = 3, '0.0005', '0.030'\n\n    def attempt(r0):\n        e = fret(r, r0)\n        cands = [dict(rule='path_length_distance', value=fret(path, r0) if path else None, plausibility=3,\n                      reason='用沿链骨架标记原子（%s）的路径长度代替空间直线距离。' % spec['path_atom']),\n                 dict(rule='complement', value=1 - e, plausibility=2, reason='报告了 1−E（供体保留的比例）。'),\n                 dict(rule='inverse_square_law', value=fret(r, r0, 2), plausibility=1, reason='用 (r/R0)^2 代替六次方依赖。'),\n                 dict(rule='r_equals_R0_default', value=0.5, plausibility=2, reason='未计算距离，默认 r≈R0，直接取 E=0.5。'),\n                 dict(rule='angstrom_nanometre_mixup', value=fret(r * 10, r0), plausibility=1, reason='r 用 Å 而 R0 用 nm，单位不一致。')]\n        if near < r:\n            # Larger-efficiency misconception: without it every mechanism falls below E when E > 0.5 and the correct\n            # option is always the largest (found by the enumeration capacity probe, runs/enum-v02).\n            cands.append(dict(rule='closest_atom_pair', value=fret(near, r0), plausibility=2,\n                              reason='用两残基间最近的重原子对距离（%.3f nm）代替指定标记原子的间距。' % near))\n        if ca and spec['acceptor'][1] != spec['path_atom']:\n            cands.append(dict(rule='wrong_acceptor_atom', value=fret(math.dist(d['xyz'], ca[0]['xyz']) / 10, r0), plausibility=2,\n                              reason='受体位置取成该残基的 %s 而非指定原子。' % spec['path_atom']))\n        chosen, rejected, goal, rank = kit.choose_numeric(e, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                          context=spec['id'], lower=0, upper=1, target=spec.get('target_position'),\n                                                          distractor_separation='0.010')\n        return r0, e, chosen, rejected, goal, rank\n\n    # R0 is a stated model parameter. A spec may fix it (R0_nm) or list admissible stated values (R0_choices); the\n    # family then takes the first value, in seeded order, whose options reach the batch's target answer rank, since\n    # some ranks are reachable only below or only above E = 0.5.\n    if 'R0_nm' in spec:\n        options_r0 = [spec['R0_nm']]\n    else:\n        options_r0 = sorted(spec['R0_choices'], key=lambda x: kit.digest(seed, spec['id'], 'R0', str(x)))\n    best = None\n    for value in options_r0:\n        try:\n            got = attempt(value)\n        except ValueError:\n            continue\n        if best is None or abs(got[5] - got[4]) < abs(best[5] - best[4]):\n            best = got\n        if got[5] == got[4]:\n            break\n    if best is None:\n        raise ValueError('Fewer than three separated misconception distractors')\n    r0, e, chosen, rejected, goal, rank = best\n    options, audit = kit.label_numeric(e, chosen, decimals=decimals, unit='', seed=seed, context=spec['id'],\n                                       correct_reason='r = %.4f nm（直线距离），E = 1/(1+(r/R0)^6)。' % r)\n    key = kit.validate_numeric(options, e, decimals=decimals, tolerance=tol, min_separation=sep, unit='',\n                               distractor_separation='0.010')\n    name = lambda x: \"%s of %s%s%d\" % (x['name'], 'nucleotide ' if len(x['resname']) <= 2 else '', x['resname'].title(), x['residue'])\n    question = ('The excerpt contains the ATOM records of chain %s of PDB entry %s (%s), copied unchanged. Model a FRET donor as a '\n                'point at atom %s and an acceptor as a point at atom %s. Assume a Förster radius R0 = %.2f nm (orientation and '\n                'spectral factors already included). What transfer efficiency does the Förster model predict?') % (\n        spec['chain'], spec['pdb'], spec['context'], name(d), name(a), r0)\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name='%s-chain%s.pdb' % (spec['pdb'], spec['chain']), format='pdb-excerpt', unit='angstrom',\n                     text='\\n'.join(lines) + '\\nEND\\n')],\n        numeric=dict(value=kit.display(e, decimals), unit='', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(distance_nm=r, R0_nm=r0, path_length_nm=path, efficiency=e,\n                    limits='点偶极近似，R0 为题设值；不代表真实染料位置、连接臂或取向分布。'),\n        scales=dict(input_nm=kit.dmax([x['xyz'] for x in atoms]) / 10, reasoning_nm=r,\n                    reasoning_definition='供体–受体直线距离'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n\n\ndef rg(points):\n    c = [math.fsum(p[k] for p in points) / len(points) for k in range(3)]\n    return math.sqrt(math.fsum(math.dist(p, c) ** 2 for p in points) / len(points))\n\n\ndef build_guinier(spec, root, seed):\n    raw = (root / 'docs' / spec['asset']).read_bytes()\n    if spec['asset'].endswith('.xyz'):          # reduced large assembly: supplied points as they are\n        text = raw.decode('utf-8')\n        points = kit.parse_xyz(text, max_atoms=20000)[1]\n    elif spec['asset'].endswith('.txt'):        # labelled point table (e.g. 7ARQ nucleotides): every row\n        text = raw.decode('utf-8')\n        points = [tuple(float(x) for x in line.split()[2:5]) for line in text.splitlines()[1:] if line.strip()]\n    else:\n        atoms, _ = read_chain(raw.decode('utf-8'), spec['chains'])\n        text = kit.xyz_text([a['element'] for a in atoms], [a['xyz'] for a in atoms],\n                            '%s chains %s, non-hydrogen ATOM records (main alternate location), angstrom' % (spec['pdb'], spec['chains']))\n        points = kit.parse_xyz(text)[1]\n    radius = rg(points) / 10                                    # nm\n    q = spec['q_per_nm']\n    if round(q, 2) != q:     # the question prints q with 2 decimals; a finer q would make question and key disagree\n        raise ValueError('q must be stated exactly with 2 decimals')\n    if q * radius > 1.3:\n        raise ValueError('q*Rg above the Guinier validity limit')\n    value = math.exp(-(q * radius) ** 2 / 3)\n    centre = [math.fsum(p[k] for p in points) / len(points) for k in range(3)]\n    axis_rms = max(math.sqrt(math.fsum((p[k] - centre[k]) ** 2 for p in points) / len(points)) for k in range(3)) / 10\n    dm = kit.dmax(points) / 10\n    cands = [dict(rule='missing_one_third', value=math.exp(-(q * radius) ** 2), plausibility=3, reason='指数中漏掉 1/3。'),\n             dict(rule='half_dmax_as_rg', value=math.exp(-(q * dm / 2) ** 2 / 3), plausibility=2, reason='把最大尺寸的一半当作回转半径。'),\n             dict(rule='first_order_expansion', value=1 - (q * radius) ** 2 / 3, plausibility=2, reason='只取一阶展开 1−q²Rg²/3。'),\n             dict(rule='linear_in_q', value=math.exp(-q * radius / 3), plausibility=1, reason='指数写成 −qRg/3，丢失平方。'),\n             dict(rule='angstrom_nanometre_mixup', value=math.exp(-(q * radius * 10) ** 2 / 3), plausibility=1,\n                  reason='Rg 用 Å 而 q 用 nm⁻¹，单位不一致。'),\n             dict(rule='amplitude_not_intensity', value=math.sqrt(value), plausibility=2,\n                  reason='报告了散射振幅比（强度的平方根）而非强度比。'),\n             dict(rule='q_unit_conversion', value=math.exp(-(q / 10 * radius) ** 2 / 3), plausibility=1,\n                  reason='q 换算单位时多除以 10（nm⁻¹ 当作 Å⁻¹ 处理）。'),\n             dict(rule='single_axis_spread_as_rg', value=math.exp(-(q * axis_rms) ** 2 / 3), plausibility=2,\n                  reason='把单一坐标轴方向的均方根离散度当作回转半径（偏小），强度因而偏大。')]\n    decimals, tol, sep = 3, '0.0005', '0.020'\n    chosen, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, upper=1, target=spec.get('target_position'),\n                                                      distractor_separation='0.010')\n    kit.require_rank(spec, goal, rank)\n    options, audit = kit.label_numeric(value, chosen, decimals=decimals, unit='', seed=seed, context=spec['id'],\n                                       correct_reason='等权 Rg = %.4f nm，qRg = %.3f ≤ 1.3，I/I0 = exp(−q²Rg²/3)。' % (radius, q * radius))\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit='',\n                               distractor_separation='0.010')\n    subject = (('The %s lists %s of %s (PDB %s). Treat each supplied point as an identical point scatterer.' %\n                ('XYZ file' if spec['asset'].endswith('.xyz') else 'table', spec['representation'], spec['context'], spec['pdb']))\n               if spec['asset'].endswith(('.xyz', '.txt')) else\n               ('The XYZ file lists every non-hydrogen atom of %s (PDB %s, chains %s). Treat each supplied atom as an identical '\n                'point scatterer.' % (spec['context'], spec['pdb'], spec['chains'])))\n    question = ('%s In the Guinier approximation (which applies at this q), what is the normalized small-angle '\n                'scattering intensity I(q)/I(0) at q = %.2f nm⁻¹?') % (subject, q)\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name=spec['asset'].rsplit('/', 1)[1] if spec['asset'].endswith(('.xyz', '.txt')) else '%s-heavy-atoms.xyz' % spec['pdb'],\n                     format='centroid-table' if spec['asset'].endswith('.txt') else 'xyz', unit='angstrom', text=text)],\n        numeric=dict(value=kit.display(value, decimals), unit='', decimals=decimals, tolerance=tol),\n        options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n        checks=dict(rg_nm=radius, q_per_nm=q, q_rg=q * radius, dmax_nm=dm, atoms=len(points),\n                    limits='等权点散射体模型；非实测 SAXS，不含溶剂层与原子形状因子。'),\n        scales=dict(input_nm=dm, reasoning_nm=dm, reasoning_definition='整个分子：最大原子间距'),\n        input_hashes={spec['asset']: kit.sha256(raw)})\n",
  "task_families/stereo.py": "\"\"\"Stereochemistry ladder: perception -> inference -> design (meeting 2 example).\n\nNo CIP priorities are needed: every answer is decided from geometry and bonding.\n  * constitution: covalent-radius bond graph (plus a graph invariant across molecules);\n  * stereocentres: 4-coordinate atoms with four different first-shell neighbour classes,\n    pyramidal 3-coordinate S/P, and aziridine-type N (3-ring, slow inversion), each with\n    distinct neighbour classes; descriptor = sign of the\n    triple product of neighbour vectors (index order) - flips under reflection only;\n  * stereo double bonds: bond between trigonal C (3 neighbours) / N (2 neighbours) whose\n    ends carry distinguishable substituents; descriptor = same/opposite side.\nEvery classification is cross-checked against the dataset's own stereoisomer labels, and\ninstances that disagree are rejected, not relabelled.\n\"\"\"\nimport hashlib\nimport json\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nMARGIN_E = 0.0434      # eV, 1 kcal/mol\nMARGIN_MU = 0.10       # e*angstrom\nRELATIONS = [('same', 'the same compound as S0 (only conformation and/or orientation differ)'),\n             ('enantiomer', 'an enantiomer of S0 (its non-superimposable mirror image)'),\n             ('diastereomer', 'a diastereomer of S0 (a stereoisomer that is not its mirror image)'),\n             ('constitutional', 'a constitutional isomer of S0 (same formula, different bonding)')]\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    return json.loads(raw), kit.sha256(raw)\n\n\ndef conformer(data, cid):\n    matches = [c for c in data['conformers'] if c['id'] == cid]\n    if len(matches) != 1:\n        raise ValueError('Unknown conformer ' + cid)\n    return matches[0]\n\n\ndef shell_classes(elements, edges):\n    return [(elements[i], tuple(sorted(elements[j] for j in kit.neighbors(edges, i)))) for i in range(len(elements))]\n\n\ndef descriptors(elements, points, edges):\n    cls = shell_classes(elements, edges)\n    centres, bonds = {}, {}\n    for i in range(len(points)):\n        nb = kit.neighbors(edges, i)\n        distinct = len({cls[j] for j in nb}) == len(nb)\n        # Pyramidal N only inside a three-membered ring (aziridine): inversion is slow there,\n        # so the nitrogen configuration is a stable stereo element; ordinary amines invert.\n        in_small_ring = any(j in kit.neighbors(edges, k) for j in nb for k in nb if j < k)\n        pyramidal = len(nb) == 3 and distinct and (elements[i] in ('S', 'P') or (elements[i] == 'N' and in_small_ring))\n        if len(nb) == 4 and distinct or pyramidal:\n            v = [kit.sub(points[j], points[i]) for j in nb[:3]]\n            volume = kit.dot(kit.cross(v[0], v[1]), v[2])\n            if len(nb) == 3 and abs(volume) < 0.1 * kit.norm(v[0]) * kit.norm(v[1]) * kit.norm(v[2]):\n                continue                     # planar: not a stereocentre\n            centres[i] = 1 if volume > 0 else -1\n    trigonal = {i for i in range(len(points)) if (elements[i] == 'C' and len(kit.neighbors(edges, i)) == 3)\n                or (elements[i] == 'N' and len(kit.neighbors(edges, i)) == 2)}\n    for i, j in sorted(edges):\n        if i not in trigonal or j not in trigonal:\n            continue\n        subs_i = [k for k in kit.neighbors(edges, i) if k != j]\n        subs_j = [k for k in kit.neighbors(edges, j) if k != i]\n        if any(len(s) == 2 and cls[s[0]] == cls[s[1]] for s in (subs_i, subs_j)):\n            continue                         # e.g. =CH2: no cis/trans isomerism\n        angle = kit.dihedral_normals(points[min(subs_i)], points[i], points[j], points[min(subs_j)])\n        bonds[(i, j)] = 'same' if abs(angle) < 90 else 'opposite'\n    return dict(centres=centres, bonds=bonds)\n\n\ndef graph_invariant(elements, edges, rounds=4):\n    labels = list(elements)\n    for _ in range(rounds):\n        labels = [hashlib.sha256((labels[i] + '|' + ','.join(sorted(labels[j] for j in kit.neighbors(edges, i))))\n                                 .encode()).hexdigest()[:16] for i in range(len(labels))]\n    return hashlib.sha256('|'.join(sorted(labels)).encode()).hexdigest()\n\n\ndef relationship(el_a, pts_a, el_b, pts_b, same_order):\n    \"\"\"Returns (relation, facts). Raises if the rules cannot decide.\"\"\"\n    if sorted(el_a) != sorted(el_b):\n        raise ValueError('Different formulas')\n    ea, eb = kit.bond_graph(el_a, pts_a), kit.bond_graph(el_b, pts_b)\n    if not same_order or el_a != el_b or ea != eb:\n        if graph_invariant(el_a, ea) == graph_invariant(el_b, eb):\n            raise ValueError('Same graph invariant but no atom correspondence: undecidable')\n        return 'constitutional', dict(bond_graphs_equal=False)\n    da, db = descriptors(el_a, pts_a, ea), descriptors(el_b, pts_b, eb)\n    if set(da['centres']) != set(db['centres']) or set(da['bonds']) != set(db['bonds']):\n        raise ValueError('Different stereo elements detected: undecidable')\n    flipped = sorted(k for k in da['centres'] if da['centres'][k] != db['centres'][k])\n    switched = sorted(k for k in da['bonds'] if da['bonds'][k] != db['bonds'][k])\n    facts = dict(bond_graphs_equal=True, stereocentres=sorted(da['centres']), stereo_bonds=sorted(da['bonds']),\n                 centres_inverted=flipped, bonds_switched=switched)\n    if not flipped and not switched:\n        return 'same', facts\n    if da['centres'] and len(flipped) == len(da['centres']) and not switched:\n        return 'enantiomer', facts\n    return 'diastereomer', facts\n\n\ndef placed(points, seed, context):\n    \"\"\"Deterministic proper rotation + translation (internal geometry unchanged).\"\"\"\n    d = kit.digest(seed, context, 'pose')\n    q = [int.from_bytes(d[k:k + 4], 'big') / 2 ** 31 - 1 for k in (0, 4, 8, 12)]\n    n = math.sqrt(sum(x * x for x in q))\n    w, x, y, z = (c / n for c in q)\n    r = [[1 - 2 * (y * y + z * z), 2 * (x * y - z * w), 2 * (x * z + y * w)],\n         [2 * (x * y + z * w), 1 - 2 * (x * x + z * z), 2 * (y * z - x * w)],\n         [2 * (x * z - y * w), 2 * (y * z + x * w), 1 - 2 * (x * x + y * y)]]\n    shift = [(d[16 + k] / 255 - 0.5) * 6 for k in range(3)]\n    return [tuple(sum(r[i][k] * p[k] for k in range(3)) + shift[i] for i in range(3)) for p in points]\n\n\ndef mirror(points):\n    return [(x, y, -z) for x, y, z in points]\n\n\ndef as_xyz(elements, points, comment):\n    text = kit.xyz_text(elements, points, comment)\n    return text, kit.parse_xyz(text)[1]          # evaluate what the student receives\n\n\ndef best(data, isomer):\n    return min((c for c in data['conformers'] if c['isomer'] == isomer), key=lambda c: c['e_pbe0_mbd_eV'])\n\n\ndef check_labels(data, relation, a, b):\n    \"\"\"Dataset labels must agree with the geometric classification.\"\"\"\n    same_isomer = a['isomer'] == b['isomer']\n    if relation == 'same' and not same_isomer:\n        raise ValueError('Dataset lists different stereoisomers but geometry finds no difference')\n    if relation in ('enantiomer', 'diastereomer') and same_isomer:\n        raise ValueError('Dataset lists one stereoisomer but geometry finds a configuration change')\n    if relation == 'enantiomer':\n        gap = abs(best(data, a['isomer'])['e_pbe0_mbd_eV'] - best(data, b['isomer'])['e_pbe0_mbd_eV'])\n        if gap > 0.01:\n            raise ValueError('Enantiomers must have equal lowest energies; dataset gap %.4f eV' % gap)\n\n\n# ------------------------------------------------------------------ perception\ndef build_relationship(spec, root, seed):\n    da, ha = load(root, spec['s0']['asset'])\n    db, hb = load(root, spec['x']['asset'])\n    a, b = conformer(da, spec['s0']['id']), conformer(db, spec['x']['id'])\n    same_molecule = da['molecule'] == db['molecule']\n    s0_text, s0_pts = as_xyz(da['elements'], a['xyz'], 'S0, angstrom')\n    x_text, x_pts = as_xyz(db['elements'], placed(b['xyz'], seed, spec['id']), 'X (rigidly rotated and translated), angstrom')\n    relation, facts = relationship(da['elements'], s0_pts, db['elements'], x_pts, same_molecule)\n    if same_molecule:\n        check_labels(da, relation, a, b)\n    elif relation != 'constitutional':\n        raise ValueError('Different dataset molecules must be constitutional isomers')\n    options = [dict(label=l, value=text) for l, (_, text) in zip(kit.LABELS, RELATIONS)]\n    key = kit.validate_verdicts(options, [r == relation for r, _ in RELATIONS])\n    why = {\n        'same': '键连相同且所有立体描述符一致：仅构象/取向不同。' if relation == 'same' else '存在构型差异或键连不同，不是同一化合物。',\n        'enantiomer': '所有立体中心反转且双键构型不变：互为镜像。' if relation == 'enantiomer' else '不满足“全部立体中心反转、双键不变”的镜像关系。',\n        'diastereomer': '键连相同，构型部分改变（或双键顺反改变），但不是镜像。' if relation == 'diastereomer' else '不是“键连相同而构型部分不同”的情形。',\n        'constitutional': '键连图不同（图不变量不同）。' if relation == 'constitutional' else '键连图相同，不是构造异构体。'}\n    audit = [dict(label=l, value=r, is_correct=r == relation, reason=why[r]) for l, (r, _) in zip(kit.LABELS, RELATIONS)]\n    question = ('S0.xyz and X.xyz each contain one structure of formula %s (angstrom). X has been rigidly rotated and '\n                'translated, and its atom order may differ from S0. Treat structures that interconvert only by rotation '\n                'about single bonds as the same compound. Which describes X relative to S0?') % da['formula']\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name='S0.xyz', format='xyz', unit='angstrom', text=s0_text),\n                dict(name='X.xyz', format='xyz', unit='angstrom', text=x_text)],\n        numeric=None, options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(relation=relation, dataset_ids=[a['id'], b['id']], dataset_isomers=[a['isomer'], b['isomer']],\n                    same_dataset_molecule=same_molecule, bond_rule='covalent radii sum × 1.2', **facts,\n                    limits='立体中心按第一配位层四（或三）个不同基团判定；与数据集立体异构体标签交叉核对，不一致即拒绝。'),\n        scales=dict(input_nm=max(kit.dmax(s0_pts), kit.dmax(x_pts)) / 10, reasoning_nm=kit.dmax(s0_pts) / 10,\n                    reasoning_definition='整分子立体构型比较：S0 最大原子间距'),\n        input_hashes={spec['s0']['asset']: ha, spec['x']['asset']: hb})\n\n\n# ------------------------------------------------------------------ inference\nSTATEMENTS = {(-1, 1): 'X is lower in energy than S0 and has a larger dipole moment',\n              (-1, -1): 'X is lower in energy than S0 and has a smaller dipole moment',\n              (1, 1): 'X is higher in energy than S0 and has a larger dipole moment',\n              (1, -1): 'X is higher in energy than S0 and has a smaller dipole moment'}\n\n\ndef build_property(spec, root, seed):\n    data, digest = load(root, spec['asset'])\n    a, b = best(data, spec['s0_isomer']), best(data, spec['x_isomer'])\n    s0_text, s0_pts = as_xyz(data['elements'], a['xyz'], 'S0, angstrom')\n    x_text, x_pts = as_xyz(data['elements'], placed(b['xyz'], seed, spec['id']), 'X (rigidly rotated and translated), angstrom')\n    relation, facts = relationship(data['elements'], s0_pts, data['elements'], x_pts, True)\n    check_labels(data, relation, a, b)\n    if relation != 'diastereomer':\n        raise ValueError('Property comparison needs diastereomers (enantiomers have equal scalar properties)')\n    de, dmu = b['e_pbe0_mbd_eV'] - a['e_pbe0_mbd_eV'], b['dipole_eA'] - a['dipole_eA']\n    if abs(de) < MARGIN_E or abs(dmu) < MARGIN_MU:\n        raise ValueError('Differences below the stated margins')\n    truth = (1 if de > 0 else -1, 1 if dmu > 0 else -1)\n    others = [k for k in STATEMENTS if k != truth]\n    order = kit.place(truth, others, spec.get('target_position'), seed, spec['id'], key=lambda k: STATEMENTS[k])\n    options = [dict(label=l, value=STATEMENTS[k]) for l, k in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [k == truth for k in order])\n    audit = []\n    for l, k in zip(kit.LABELS, order):\n        wrong = [name for name, s, t in (('能量方向', k[0], truth[0]), ('偶极方向', k[1], truth[1])) if s != t]\n        audit.append(dict(label=l, value=STATEMENTS[k], is_correct=k == truth,\n                          reason='ΔE = %+.4f eV，Δμ = %+.4f e·Å（X − S0，数据集计算值）。' % (de, dmu) if k == truth else\n                          '与数据集计算值不符：' + '、'.join(wrong) + '相反。'))\n    question = ('S0 and X are two stereoisomers of the same neutral %s molecule; atom order is shared and X has been rigidly '\n                'rotated and translated. Each structure is the lowest-energy QM7-X conformer of its configuration. Compare X '\n                'with S0 by PBE0+MBD total energy and dipole-moment magnitude at the supplied geometries; each difference is at '\n                'least 0.0434 eV (1 kcal/mol) in energy and 0.10 e·Å in dipole. Which statement is correct?') % data['formula']\n    return dict(\n        question=question, scope=spec['scope'],\n        inputs=[dict(name='S0.xyz', format='xyz', unit='angstrom', text=s0_text),\n                dict(name='X.xyz', format='xyz', unit='angstrom', text=x_text)],\n        numeric=None, options=options, correct_label=key, option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(relation=relation, dataset_ids=[a['id'], b['id']], delta_energy_eV=round(de, 6),\n                    delta_dipole_eA=round(dmu, 6), margins=dict(energy_eV=MARGIN_E, dipole_eA=MARGIN_MU), level=data['level'],\n                    **facts, limits='计算证据只对所述理论水平与给定几何成立；比较的是各构型在数据集中的最低能构象。'),\n        scales=dict(input_nm=kit.dmax(s0_pts) / 10, reasoning_nm=kit.dmax(s0_pts) / 10,\n                    reasoning_definition='整分子立体构型对性质的影响：S0 最大原子间距'),\n        input_hashes={spec['asset']: digest})\n\n\n# ------------------------------------------------------------------ design\ndef build_design(spec, root, seed):\n    data, digest = load(root, spec['asset'])\n    mate, mate_digest = load(root, spec['mate_asset'])\n    isomers = sorted({c['isomer'] for c in data['conformers']})\n    if len(isomers) != 2:\n        raise ValueError('Design template expects exactly two stereoisomers')\n    setups = []\n    for a_iso in isomers:\n        b_best = best(data, [i for i in isomers if i != a_iso][0])\n        own = [c for c in data['conformers'] if c['isomer'] == a_iso]\n        for s0 in own:\n            lower = [c for c in own if c['e_pbe0_mbd_eV'] <= s0['e_pbe0_mbd_eV'] - MARGIN_E]\n            if lower and s0['e_pbe0_mbd_eV'] >= b_best['e_pbe0_mbd_eV'] + MARGIN_E:\n                setups.append((s0, b_best, min(lower, key=lambda c: c['e_pbe0_mbd_eV'])))\n    if not setups:\n        raise ValueError('No S0 with both a lower diastereomer and a lower same-configuration conformer')\n    s0, target, trap = min(setups, key=lambda s: kit.digest(seed, spec['id'], s[0]['id']))\n    const = min(mate['conformers'], key=lambda c: c['e_pbe0_mbd_eV'])\n    s0_text, s0_pts = as_xyz(data['elements'], s0['xyz'], 'S0 starting structure, angstrom')\n    pool = [('diastereomer_lower', data['elements'], target['xyz'], target['e_pbe0_mbd_eV'], target['id']),\n            ('mirror_image', data['elements'], mirror(s0['xyz']), s0['e_pbe0_mbd_eV'], 'mirror of ' + s0['id']),\n            ('conformer_only', data['elements'], trap['xyz'], trap['e_pbe0_mbd_eV'], trap['id']),\n            ('constitutional_isomer', mate['elements'], const['xyz'], const['e_pbe0_mbd_eV'], const['id'])]\n    order = kit.place(pool[0], pool[1:], spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    inputs = [dict(name='S0.xyz', format='xyz', unit='angstrom', text=s0_text)]\n    options, verdicts, audit = [], [], []\n    for label, (kind, elements, xyz, energy, source_id) in zip(kit.LABELS, order):\n        text, pts = as_xyz(elements, placed(xyz, seed, spec['id'] + label), 'candidate %s (rigidly rotated), angstrom' % label)\n        inputs.append(dict(name='candidate_%s.xyz' % label, format='xyz', unit='angstrom', text=text))\n        try:\n            relation, facts = relationship(data['elements'], s0_pts, elements, pts, elements == data['elements'] and kind != 'constitutional_isomer')\n        except ValueError as error:\n            raise ValueError('Candidate %s undecidable: %s' % (label, error))\n        expected = {'diastereomer_lower': ('diastereomer',), 'mirror_image': ('enantiomer', 'same'),\n                    'conformer_only': ('same',), 'constitutional_isomer': ('constitutional',)}[kind]\n        if relation not in expected:\n            raise ValueError('Candidate %s (%s) classified as %s' % (label, kind, relation))\n        de = energy - s0['e_pbe0_mbd_eV']\n        allowed = relation in ('enantiomer', 'diastereomer')\n        ok = allowed and de <= -MARGIN_E\n        verdicts.append(ok)\n        options.append(dict(label=label, value='candidate_%s.xyz' % label))\n        reason = {'diastereomer_lower': '只改变构型（非对映体），能量低 %.4f eV，满足目标。' % -de,\n                  'mirror_image': ('镜像（对映体）：构型改变但能量按反演对称与 S0 完全相同，未达到降低目标。' if relation == 'enantiomer'\n                                   else 'S0 无手性中心，镜像仍是同一化合物（仅构象镜像），未改变构型且能量相同。'),\n                  'conformer_only': '能量更低（%.4f eV）但只是同一构型的另一构象，不属于允许的修改。' % de,\n                  'constitutional_isomer': '分子式相同但键连不同（构造异构体），违反“键连不变”。'}[kind]\n        audit.append(dict(label=label, value='candidate_%s.xyz' % label, source_id=source_id, is_correct=ok, kind=kind,\n                          relation=relation, delta_energy_eV=round(de, 6), allowed_modification=allowed, reason=reason))\n    options_checked = [dict(o, source=a['source_id']) for o, a in zip(options, audit)]\n    key = kit.validate_verdicts(options_checked, verdicts, key=lambda o: o['source'])\n    question = ('S0 is one conformer of a %s molecule. You may change it only by changing the configuration of its stereo '\n                'elements (the handedness of stereocentres or the cis/trans arrangement at double bonds): same atoms, same '\n                'bonds; a change of conformation alone does not count. Goal: a structure whose PBE0+MBD energy (single point at '\n                'the supplied geometry) is at least 0.0434 eV (1 kcal/mol) lower than that of S0. Candidates A–D have been '\n                'rigidly rotated and their atom order may differ from S0. Which candidate satisfies both the allowed '\n                'modification and the goal?') % data['formula']\n    return dict(\n        question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n        option_audit=audit, excluded_candidates=[], rank=None,\n        checks=dict(s0=s0['id'], s0_energy_eV=s0['e_pbe0_mbd_eV'], margin_eV=MARGIN_E, level=data['level'],\n                    selection_rule='S0 取有更低能非对映体（≥1 kcal/mol）且有更低能同构型构象的构象，按种子选择；'\n                                   '陷阱：镜像（能量不变）、仅构象改变（更低但不允许）、构造异构体（键连不同）。',\n                    energy_of_mirror='反演对称：镜像结构能量与 S0 相同（物理定律，非数据集查值）。',\n                    limits='计算证据只对所述理论水平与给定几何成立；不是自由能或实验。'),\n        scales=dict(input_nm=kit.dmax(s0_pts) / 10, reasoning_nm=kit.dmax(s0_pts) / 10,\n                    reasoning_definition='整分子立体构型设计：S0 最大原子间距'),\n        input_hashes={spec['asset']: digest, spec['mate_asset']: mate_digest})\n",
  "task_families/superlattice.py": "\"\"\"DNA-linked gold-nanoparticle superlattices (materials, 10-100 nm): paper-parameter models.\n\nInputs are the crystallites built by tools/build_superlattice_assets.py from the SAXS unit-cell\nedges in Table 1 of Hill et al., Nano Lett. 2008, 8, 2341 (see sources.json). Every question is\nabout the lattice period (nearest-neighbour spacing, cell edge, plane spacing, Bragg peaks, filling),\nall between about 20 and 80 nm, so the reasoning scale sits in the 10-100 nm cell even though each\ncrystallite is about 200 nm across.\nAnswers are computed from the coordinates as written and cross-checked against the Table 1 edge.\n\"\"\"\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nSHELL_TOL = 1e-4          # nm; coordinates carry 6 decimals\nPAPER = 'https://doi.org/10.1021/nl8011787'\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    return text, kit.parse_xyz(text, max_atoms=2000)[1], kit.sha256(raw)\n\n\ndef centre_index(points):\n    c = [math.fsum(p[k] for p in points) / len(points) for k in range(3)]\n    return min(range(len(points)), key=lambda i: math.dist(points[i], c))\n\n\ndef shells(points, index):\n    ds = sorted((math.dist(points[index], p), j) for j, p in enumerate(points) if j != index)\n    groups = []\n    for d, j in ds:\n        if groups and d - groups[-1][0] <= SHELL_TOL:\n            groups[-1][1].append(j)\n        else:\n            groups.append((d, [j]))\n    return [(math.fsum(math.dist(points[index], points[j]) for j in g) / len(g), g) for _, g in groups]\n\n\ndef lattice(points, spec):\n    \"\"\"Nearest-neighbour spacing and FCC cell edge from the coordinates, checked against Table 1.\"\"\"\n    groups = shells(points, centre_index(points))\n    (d1, g1), (d2, g2) = groups[0], groups[1]\n    if len(g1) != 12 or len(g2) != 6 or abs(d2 / d1 - math.sqrt(2)) > 1e-5:\n        raise ValueError('Not an FCC environment around the central particle')\n    a = d2\n    if abs(a - spec['a_nm']) > 1e-4:\n        raise ValueError('Crystallite edge does not match the Table 1 value')\n    return dict(nn=d1, a=a, groups=groups)\n\n\ndef gold_percent(a, core):\n    return 4 * (4 / 3) * math.pi * (core / 2) ** 3 / a ** 3 * 100\n\n\ndef q_star(a):\n    return 2 * math.pi * math.sqrt(3) / a\n\n\ndef q_200(a):\n    return 4 * math.pi / a\n\n\nCONDITIONS = ('Model conditions: the only measured input is the unit-cell size that Hill et al. (Nano Lett. 2008, Table 1) obtained '\n              'from SAXS; the particle centres sit on an ideal, perfectly ordered lattice with no vacancies, stacking faults, positional '\n              '(thermal) disorder or particle-size dispersion, which is the idealization the paper uses to index its SAXS peaks. Each '\n              'crystallite is a finite cut of about 177 particles in an arbitrary orientation.')\nSUBJECT = ('The XYZ file lists the centres of the gold nanoparticles in a model crystallite of a DNA-linked gold-nanoparticle '\n           'superlattice (coordinates in nm; built from a published SAXS unit-cell size). ' + CONDITIONS)\n\n\ndef packet(spec, inputs, question, options, key, audit, rejected, rank, numeric, checks, input_nm, reasoning_nm, definition, hashes):\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=numeric, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=rejected, rank=rank, checks=checks,\n                scales=dict(input_nm=input_nm, reasoning_nm=reasoning_nm, reasoning_definition=definition), input_hashes=hashes)\n\n\ndef build_shell(spec, root, seed):\n    text, pts, digest = load(root, spec['asset'])\n    lat = lattice(pts, spec)\n    groups = lat['groups']\n    far = max(range(len(pts)), key=lambda i: math.dist(pts[i], pts[centre_index(pts)]))\n    surface = shells(pts, far)[0]\n    fmt = lambda n, d: '%d at %s nm' % (n, kit.display(d, 2))\n    right = fmt(12, lat['nn'])\n    candidates = [('second_shell', fmt(len(groups[1][1]), groups[1][0]), 3, '报告了第二壳层（常规晶胞边长处的 6 个）。'),\n                  ('surface_particle', fmt(len(surface[1]), surface[0]), 3, '数的是晶粒表面粒子的最近邻（表面缺配位）。'),\n                  ('third_shell', fmt(len(groups[2][1]), groups[2][0]), 2, '报告了第三壳层。'),\n                  ('bcc_assumption', fmt(8, lat['nn']), 2, '误认作体心立方，按 8 个最近邻计。'),\n                  ('mixed_shells', fmt(len(groups[1][1]), lat['nn']), 1, '距离取最近壳层，个数取第二壳层。')]\n    pool, rejected = [], []\n    for rule, value, plaus, reason in candidates:\n        if value == right or value in [p[1] for p in pool]:\n            rejected.append(dict(rule=rule, value=value, reason='与其他选项重复'))\n        else:\n            pool.append((rule, value, reason, plaus))\n    pool.sort(key=lambda p: (-p[3], kit.digest(seed, spec['id'], p[0])))\n    chosen = pool[:3]\n    rejected += [dict(rule=p[0], value=p[1], reason='有效但未选（可信度排序）') for p in pool[3:]]\n    order = kit.place(('correct', right, '中心粒子的最近壳层：12 个，%.6f nm（= a/√2）。' % lat['nn'], 3), chosen,\n                      spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('%s For the particle nearest the centroid of all particles, how many particles form its nearest-neighbour shell, '\n                'and at what centre-to-centre distance? Distances are rounded to 0.01 nm.' % SUBJECT)\n    shell_pts = [pts[centre_index(pts)]] + [pts[j] for j in groups[0][1]]\n    return packet(spec, [dict(name=spec['asset'].rsplit('/', 1)[1], format='xyz', unit='nm', text=text)], question, options, key,\n                  audit, rejected, None, None,\n                  dict(particles=len(pts), shells=[dict(distance_nm=round(d, 6), count=len(g)) for d, g in groups[:3]],\n                       a_nm=lat['a'], table1=spec['table1'], limits='按论文 SAXS 晶胞参数构建的理想 FCC 模型，不是实测粒子坐标。'),\n                  kit.dmax(pts), kit.dmax(shell_pts), '中心粒子与最近壳层的最大间距', {spec['asset']: digest})\n\n\nNUMERIC = {\n    'cell_edge': dict(decimals=2, tol='0.005', sep='1.00', unit='nm', ability='perception',\n                      ask='What is the edge length of the conventional cubic unit cell of this particle lattice, in nm?'),\n    'd111': dict(decimals=2, tol='0.005', sep='1.00', unit='nm', ability='perception',\n                 ask='What is the spacing between adjacent close-packed (most densely populated) lattice planes of the particles, in nm?'),\n    'q_star': dict(decimals=4, tol='0.00005', sep='0.0050', unit='nm^-1', ability='inference',\n                   ask='Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what '\n                       'q (in nm⁻¹, q = 4π sinθ/λ) does the first (lowest-q) Bragg reflection with nonzero intensity appear?'),\n    'q_200': dict(decimals=4, tol='0.00005', sep='0.0050', unit='nm^-1', ability='inference',\n                  ask='Treat the particles as identical point scatterers on a perfect, infinite lattice with this geometry. At what '\n                      'q (in nm⁻¹, q = 4π sinθ/λ) does the second distinct Bragg reflection with nonzero intensity appear?'),\n    'gold_fraction': dict(decimals=3, tol='0.0005', sep='0.050', unit='%', ability='inference',\n                          ask='Each particle is a solid gold sphere with a core diameter of %s nm and the DNA shell contains no gold. '\n                              'Treating the lattice as perfect and infinite, what percentage of the total volume is gold?'),\n}\n\n\ndef numeric_candidates(ask, a, nn, core):\n    s2, s3 = math.sqrt(2), math.sqrt(3)\n    if ask == 'cell_edge':\n        return a, [dict(rule='nearest_neighbour', value=nn, plausibility=3, reason='把最近邻间距当作晶胞边长。'),\n                   dict(rule='face_diagonal', value=a * s2, plausibility=2, reason='报告了面对角线（2 倍最近邻）。'),\n                   dict(rule='body_diagonal', value=a * s3, plausibility=1, reason='报告了体对角线。'),\n                   dict(rule='third_shell_distance', value=a * math.sqrt(1.5), plausibility=2, reason='把第三近邻距离当作晶胞边长。'),\n                   dict(rule='d111', value=a / s3, plausibility=2, reason='报告了密排面间距。'),\n                   dict(rule='d200', value=a / 2, plausibility=2, reason='报告了 (200) 面间距 a/2。'),\n                   dict(rule='primitive_cell_root', value=a / 4 ** (1 / 3), plausibility=2,\n                        reason='取初基胞体积（a³/4）的立方根，而问的是常规立方晶胞。')]\n    if ask == 'd111':\n        return a / s3, [dict(rule='d200', value=a / 2, plausibility=3, reason='报告了 (200) 面间距 a/2，不是最密排面。'),\n                        dict(rule='nearest_neighbour', value=nn, plausibility=2, reason='把最近邻间距当作面间距。'),\n                        dict(rule='in_layer_row_spacing', value=nn * s3 / 2, plausibility=2, reason='算成密排层内相邻原子行的间距。'),\n                        dict(rule='d220', value=a / (2 * s2), plausibility=2, reason='报告了 (220) 面间距。'),\n                        dict(rule='cell_edge', value=a, plausibility=2, reason='报告了晶胞边长而非面间距。'),\n                        dict(rule='half_nearest_neighbour', value=nn / 2, plausibility=1, reason='取最近邻间距的一半。')]\n    if ask == 'q_star':\n        return q_star(a), [dict(rule='q_100_forbidden', value=2 * math.pi / a, plausibility=3, reason='用 (100)，而 FCC 中 (100) 消光。'),\n                           dict(rule='q_from_nearest_neighbour', value=2 * math.pi / nn, plausibility=2, reason='把最近邻间距当作面间距。'),\n                           dict(rule='q_200', value=q_200(a), plausibility=3, reason='报告了第二个反射 (200)。'),\n                           dict(rule='missing_two_pi', value=s3 / a, plausibility=2, reason='漏掉 2π（把 1/d 当作 q）。'),\n                           dict(rule='per_angstrom', value=q_star(a) / 10, plausibility=1, reason='以 Å⁻¹ 数值报告。'),\n                           dict(rule='body_diagonal_spacing', value=2 * math.pi / (a * s3), plausibility=1, reason='把体对角线当作面间距。')]\n    if ask == 'q_200':\n        return q_200(a), [dict(rule='q_111_first_peak', value=q_star(a), plausibility=3, reason='报告了第一个反射 (111)。'),\n                          dict(rule='q_100_forbidden', value=2 * math.pi / a, plausibility=2, reason='把消光的 (100) 当作反射。'),\n                          dict(rule='q_220', value=2 * math.pi * 2 * s2 / a, plausibility=2, reason='报告了 (220)，跳过了 (200)。'),\n                          dict(rule='missing_two_pi', value=2 / a, plausibility=2, reason='漏掉 2π。'),\n                          dict(rule='q_from_nearest_neighbour', value=2 * math.pi / nn, plausibility=1, reason='把最近邻间距当作面间距。'),\n                          dict(rule='per_angstrom', value=q_200(a) / 10, plausibility=1, reason='以 Å⁻¹ 数值报告。')]\n    f = gold_percent(a, core)\n    return f, [dict(rule='one_particle_per_cell', value=f / 4, plausibility=3, reason='每个常规晶胞只算 1 个粒子（FCC 为 4 个）。'),\n               dict(rule='two_particles_per_cell', value=f / 2, plausibility=2, reason='按体心立方每胞 2 个粒子计。'),\n               dict(rule='diameter_as_radius', value=f * 8, plausibility=2, reason='把直径当半径代入球体积。'),\n               dict(rule='nearest_neighbour_cube', value=f * 2 * math.sqrt(2) / 4, plausibility=2,\n                    reason='用最近邻间距的立方作为每个粒子的体积。'),\n               dict(rule='fraction_not_percent', value=f / 100, plausibility=1, reason='给出了体积分数而非百分数。'),\n               dict(rule='nearest_neighbour_as_cell_edge', value=f * 2 * math.sqrt(2), plausibility=2,\n                    reason='用最近邻间距当作常规晶胞边长（仍按每胞 4 个粒子）。'),\n               dict(rule='four_per_primitive_cell', value=f * 4, plausibility=2, reason='用初基胞体积 a³/4，却仍按 4 个粒子计。')]\n\n\ndef build_numeric(spec, root, seed):\n    text, pts, digest = load(root, spec['asset'])\n    lat = lattice(pts, spec)\n    ask, cfg = spec['ask'], NUMERIC[spec['ask']]\n    value, cands = numeric_candidates(ask, lat['a'], lat['nn'], spec.get('core_nm'))\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=cfg['decimals'], tolerance=cfg['tol'],\n                                                      min_separation=cfg['sep'], seed=seed, context=spec['id'], lower=0,\n                                                      target=spec.get('target_position'),\n                                                      distractor_separation=str(float(cfg['sep']) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=cfg['decimals'], unit=cfg['unit'], seed=seed, context=spec['id'],\n                                       correct_reason='由坐标得 FCC：最近邻 12 个 %.4f nm，第二壳层 6 个 a = %.4f nm；按定义计算。'\n                                       % (lat['nn'], lat['a']))\n    key = kit.validate_numeric(options, value, decimals=cfg['decimals'], tolerance=cfg['tol'], min_separation=cfg['sep'],\n                               unit=cfg['unit'], distractor_separation=str(float(cfg['sep']) / 2))\n    ask_text = cfg['ask'] % spec['core_nm'] if ask == 'gold_fraction' else cfg['ask']\n    question = '%s %s' % (SUBJECT, ask_text)\n    return packet(spec, [dict(name=spec['asset'].rsplit('/', 1)[1], format='xyz', unit='nm', text=text)], question, options, key,\n                  audit, rejected, dict(target=goal, achieved=rank),\n                  dict(value=kit.display(value, cfg['decimals']), unit=cfg['unit'], decimals=cfg['decimals'], tolerance=cfg['tol']),\n                  dict(particles=len(pts), nn_nm=lat['nn'], a_nm=lat['a'], table1=spec['table1'], core_nm=spec.get('core_nm'),\n                       limits='按论文 SAXS 晶胞参数构建的理想 FCC 模型；Bragg 位置对应无限完美晶格，不含形状因子与峰宽。'),\n                  kit.dmax(pts), lat['a'], '晶格周期：常规晶胞边长 a', {spec['asset']: digest})\n\n\ndef build_perception(spec, root, seed):\n    if NUMERIC[spec['ask']]['ability'] != 'perception':\n        raise ValueError('Not a perception quantity: ' + spec['ask'])\n    return build_numeric(spec, root, seed)\n\n\ndef build_inference(spec, root, seed):\n    if NUMERIC[spec['ask']]['ability'] != 'inference':\n        raise ValueError('Not an inference quantity: ' + spec['ask'])\n    return build_numeric(spec, root, seed)\n\n\nGOALS = {\n    'q_star': 'its first Bragg reflection (lowest q with nonzero intensity, identical point scatterers, q = 4π sinθ/λ) is closest to '\n              'q = %s nm⁻¹',\n    'nn': 'the centre-to-centre nearest-neighbour spacing of the particles is closest to %s nm',\n    'fraction': 'the nearest-neighbour spacing is as large as possible while at least %s %% of the volume is gold '\n                '(solid gold cores of diameter %s nm; perfect infinite lattice)',\n}\n\n\ndef build_design(spec, root, seed):\n    \"\"\"Design selection among four real linker choices (Table 1), each with a model crystallite.\"\"\"\n    rows, inputs, hashes = [], [], {}\n    for asset in spec['candidates']:\n        text, pts, digest = load(root, asset)\n        sub = dict(spec, a_nm=spec['edges'][asset])\n        lat = lattice(pts, sub)\n        name = asset.rsplit('/', 1)[1]\n        linker = name[len('Au-FCC-'):-len('.xyz')]\n        rows.append(dict(asset=asset, name=name, linker=linker, nn=lat['nn'], a=lat['a'], q=q_star(lat['a']),\n                         gold=gold_percent(lat['a'], spec['core_nm']), extent=kit.dmax(pts)))\n        inputs.append(dict(name=name, format='xyz', unit='nm', text=text))\n        hashes[asset] = digest\n    goal, t = spec['goal'], spec['target']\n    if goal in ('q_star', 'nn'):\n        prop = 'q' if goal == 'q_star' else 'nn'\n        ranked = sorted(rows, key=lambda r: abs(r[prop] - t))\n        best, runner = ranked[0], ranked[1]\n        if abs(runner[prop] - t) < 1.5 * abs(best[prop] - t) or abs(runner[prop] - t) - abs(best[prop] - t) < 0.02 * t:\n            raise ValueError('Winning margin too small')\n        wrong = {'q_star': [('q_from_nearest_neighbour', lambda r: 2 * math.pi / r['nn'], '把最近邻间距当作面间距（q = 2π/D）时它最接近目标。'),\n                            ('q_200_as_first', lambda r: q_200(r['a']), '把 (200) 当作首峰（q = 4π/a）时它最接近目标。'),\n                            ('q_100_forbidden', lambda r: 2 * math.pi / r['a'], '用消光的 (100)（q = 2π/a）时它最接近目标。')],\n                 'nn': [('cell_edge_as_spacing', lambda r: r['a'], '把常规晶胞边长当作最近邻间距时它最接近目标。'),\n                        ('plane_spacing_as_spacing', lambda r: r['a'] / math.sqrt(3), '把密排面间距当作粒子间距时它最接近目标。'),\n                        ('face_diagonal', lambda r: r['a'] * math.sqrt(2), '把面对角线当作间距时它最接近目标。')]}[goal]\n        why = {}\n        for rule, f, reason in wrong:\n            pick = min(rows, key=lambda r: abs(f(r) - t))\n            if pick is not best and pick['linker'] not in why:\n                why[pick['linker']] = (rule, reason, 3)\n        verdict = lambda r: r is best\n        evidence = lambda r: '%s = %.4f' % ('q*' if prop == 'q' else 'D', r[prop])\n        for r in rows:\n            if r is not best and r['linker'] not in why:\n                why[r['linker']] = ('farther_from_target', '按正确定义离目标更远（%s）。' % evidence(r), 2)\n        target_text = GOALS[goal] % t\n    else:\n        ok = [r for r in rows if r['gold'] >= t]\n        if not ok:\n            raise ValueError('No candidate meets the constraint')\n        best = max(ok, key=lambda r: r['nn'])\n        if min(abs(r['gold'] - t) for r in rows) < 0.05 * t:\n            raise ValueError('A candidate sits too close to the constraint')\n        why = {}\n        for r in rows:\n            if r is best:\n                continue\n            if r['gold'] < t:\n                wrong_pass = r['gold'] * 8 >= t\n                why[r['linker']] = ('violates_gold_constraint' if not wrong_pass else 'diameter_as_radius_passes',\n                                    ('金含量 %.3f%% 低于要求；若把直径当半径（×8）会误判为满足。' % r['gold']) if wrong_pass\n                                    else '金含量 %.3f%% 低于要求。' % r['gold'], 3 if wrong_pass else 2)\n            elif r['gold'] == max(x['gold'] for x in rows):\n                why[r['linker']] = ('highest_gold_not_largest_spacing', '金含量最高（%.3f%%），但间距不是满足条件中最大的。' % r['gold'], 2)\n            else:\n                why[r['linker']] = ('satisfies_but_smaller_spacing', '满足金含量（%.3f%%），但间距 %.2f nm 不是最大。' % (r['gold'], r['nn']), 2)\n        target_text = GOALS['fraction'] % (t, spec['core_nm'])\n    right = '%s (%s)' % (best['linker'], best['name'])\n    others = [(why[r['linker']][0], '%s (%s)' % (r['linker'], r['name']), why[r['linker']][1], why[r['linker']][2])\n              for r in rows if r is not best]\n    reason_ok = {'q_star': 'q* = 2π√3/a = %.4f nm⁻¹，最接近目标。' % best['q'], 'nn': '最近邻 %.4f nm，最接近目标。' % best['nn'],\n                 'fraction': '满足金含量（%.3f%%）的候选中最近邻最大（%.2f nm）。' % (best['gold'], best['nn'])}[goal]\n    order = kit.place(('correct', right, reason_ok, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('The four XYZ files list the gold-nanoparticle centres (nm) of model crystallites of DNA-linked gold-nanoparticle '\n                'superlattices assembled with four different duplex DNA linkers; each file is named after its linker and was built '\n                'from that linker\\'s published SAXS unit-cell size. %s You must choose one linker for a new superlattice such that %s. '\n                'Which linker should you choose?' % (CONDITIONS, target_text))\n    return packet(spec, inputs, question, options, key, audit, [], None, None,\n                  dict(candidates=[{k: r[k] for k in ('linker', 'nn', 'a', 'q', 'gold')} for r in rows], goal=goal, target=t,\n                       design_note='设计选择：四个候选均为论文中实际做出的连接子，性质由模型坐标计算。',\n                       limits='按论文 SAXS 晶胞参数构建的理想 FCC 模型。'),\n                  max(r['extent'] for r in rows),\n                  max(r['a'] for r in rows), '晶格周期：候选中最大的常规晶胞边长 a', hashes)\n",
  "task_families/vortex.py": "\"\"\"Abrikosov vortex lattices (quantum, 100-1000 nm): paper-parameter models.\n\nInputs are the vortex-centre maps built by tools/build_vortex_assets.py: MgB2 at the four applied fields of Cottet et al.\n(arXiv:1401.4062) and BSCCO at the measured lattice constant of Schaefermeier et al. (arXiv:2602.13060). Questions concern the\nlattice spacing (356-855 nm), the vortex density, flux quantisation (one h/2e per vortex), the first SANS Bragg peak, and the\nchoice of field for a target lattice (design).\n\"\"\"\nimport math\nfrom . import kit\n\nVERSION = '0.1.0'\nPHI0 = 2.067833848e-15\nTOL = 1e-5\nPAPERS = {'cottet': 'Cottet et al. (arXiv:1401.4062; MgB2, cryo-Lorentz TEM at 5 K)',\n          'schaefermeier': 'Schaefermeier et al. (arXiv:2602.13060; BSCCO-2212, scanning NV magnetometry at 71 K)'}\n\n\ndef conditions(paper, field_text):\n    return ('Model conditions: the only measured input is %s reported by %s; the vortices form an ideal triangular lattice with '\n            'exactly one superconducting flux quantum per vortex, no pinning disorder, lattice defects or thermal motion, and a uniform '\n            'field, which is the idealization the paper compares its images with; the map is a finite patch of about 97 vortices in an '\n            'arbitrary orientation.' % (field_text, PAPERS[paper]))\n\n\ndef load(root, asset):\n    raw = (root / 'docs' / asset).read_bytes()\n    text = raw.decode('utf-8')\n    lines = text.splitlines()\n    rows = [l.split() for l in lines[2:] if l.strip()]\n    if int(lines[0]) != len(rows) or any(len(r) != 3 or r[0] != 'V' for r in rows):\n        raise ValueError('Expected count, comment and \"V x y\" rows')\n    return text, [(float(r[1]), float(r[2])) for r in rows], kit.sha256(raw)\n\n\ndef lattice_spacing(pts, expected):\n    c = (math.fsum(p[0] for p in pts) / len(pts), math.fsum(p[1] for p in pts) / len(pts))\n    i = min(range(len(pts)), key=lambda k: math.dist(pts[k], c))\n    d = sorted(math.dist(pts[i], p) for j, p in enumerate(pts) if j != i)\n    first = [x for x in d if x - d[0] <= TOL]\n    if len(first) != 6:\n        raise ValueError('Vortices do not form a triangular lattice around the centre')\n    a = math.fsum(first) / 6\n    if abs(a - expected) > 1e-3:\n        raise ValueError('Lattice spacing does not match the published value')\n    return a\n\n\ndef field_from(a):                    # tesla, a in nm\n    return 2 * PHI0 / (math.sqrt(3) * (a * 1e-9) ** 2)\n\n\ndef spacing_from(b):                  # nm\n    return math.sqrt(2 * PHI0 / (math.sqrt(3) * b)) * 1e9\n\n\ndef density(a):                       # vortices per um^2\n    return 2 / (math.sqrt(3) * (a / 1000) ** 2)\n\n\ndef q10(a):                           # um^-1, first Bragg peak of the triangular lattice\n    return 4 * math.pi / (math.sqrt(3) * a / 1000)\n\n\nSUBJECT = ('The file lists the vortex centres (nm) seen in a model image of the Abrikosov vortex lattice of a type-II superconductor '\n           'in a perpendicular magnetic field.')\nASK = {\n    'spacing': ('What is the vortex lattice spacing (centre-to-centre distance between neighbouring vortices), in nm?',\n                1, '0.05', '10.0', 'nm', 'perception'),\n    'density': ('How many vortices are there per square micrometre (areal vortex density)?', 3, '0.0005', '0.150', 'um^-2', 'perception'),\n    'field': ('Each vortex carries one superconducting flux quantum Φ0 = h/(2e) = 2.0678 × 10⁻¹⁵ Wb. What is the magnetic induction B '\n              'inside the superconductor that produces this lattice, in mT?', 3, '0.0005', '0.150', 'mT', 'inference'),\n    'flux': ('The magnetic induction inside the superconductor is B = %s mT. How much magnetic flux does each vortex carry, in units of '\n             '10⁻¹⁵ Wb?', 3, '0.0005', '0.150', '1e-15 Wb', 'inference'),\n    'sans_q': ('In a small-angle neutron scattering experiment on this lattice, at what scattering vector q (q = 4π sinθ/λ) does the '\n               'first-order Bragg peak of the vortex lattice appear, in μm⁻¹?', 2, '0.005', '0.50', 'um^-1', 'inference'),\n}\n\n\ndef candidates(ask, a, b_mT):\n    s3 = math.sqrt(3)\n    if ask == 'spacing':\n        return a, [dict(rule='row_spacing', value=a * s3 / 2, plausibility=3, reason='报告了相邻涡旋行的间距（√3/2）a。'),\n                   dict(rule='second_neighbour', value=a * s3, plausibility=2, reason='报告了次近邻距离 √3 a。'),\n                   dict(rule='square_lattice_guess', value=a * (s3 / 2) ** 0.5, plausibility=2, reason='按正方格子由密度反推间距。'),\n                   dict(rule='half_spacing', value=a / 2, plausibility=1, reason='报告了半个间距。'),\n                   dict(rule='double_spacing', value=2 * a, plausibility=2, reason='报告了隔一个涡旋的距离 2a。')]\n    if ask == 'density':\n        n = density(a)\n        return n, [dict(rule='square_cell', value=1 / (a / 1000) ** 2, plausibility=3, reason='每个涡旋按 a² 的正方形面积计。'),\n                   dict(rule='triangle_cell', value=2 * n, plausibility=2, reason='用三角形面积（半个晶胞）当作每个涡旋的面积。'),\n                   dict(rule='half_density', value=n / 2, plausibility=2, reason='晶胞面积多乘了 2。'),\n                   dict(rule='circle_cell', value=1 / (math.pi * (a / 2000) ** 2), plausibility=2, reason='每个涡旋按直径为 a 的圆面积计。')]\n    if ask == 'field':\n        b = field_from(a) * 1e3\n        return b, [dict(rule='square_lattice', value=PHI0 / (a * 1e-9) ** 2 * 1e3, plausibility=3, reason='按正方格子 B = Φ0/a²。'),\n                   dict(rule='flux_h_over_e', value=2 * b, plausibility=3, reason='用 h/e（单电子磁通量子）代替 h/2e。'),\n                   dict(rule='flux_h_over_4e', value=b / 2, plausibility=2, reason='磁通量子多除了 2。'),\n                   dict(rule='gauss_mT_slip', value=b * 10, plausibility=2, reason='高斯与毫特斯拉换算错（1 mT = 10 G）。'),\n                   dict(rule='second_neighbour_as_spacing', value=b / 3, plausibility=2, reason='把次近邻距离 √3a 当作晶格间距。')]\n    if ask == 'flux':\n        cell = math.sqrt(3) / 2 * (a * 1e-9) ** 2\n        phi = b_mT * 1e-3 * cell * 1e15\n        return phi, [dict(rule='h_over_e', value=phi * 2, plausibility=3, reason='报告了 h/e（把超导电子对的电荷当作 e）。'),\n                     dict(rule='square_cell', value=b_mT * 1e-3 * (a * 1e-9) ** 2 * 1e15, plausibility=3, reason='每个涡旋按 a² 面积计。'),\n                     dict(rule='triangle_cell', value=phi / 2, plausibility=2, reason='每个涡旋按三角形面积计。'),\n                     dict(rule='hbar_over_2e', value=phi / (2 * math.pi), plausibility=1, reason='报告了 ħ/(2e)，即 Φ0/2π。')]\n    q = q10(a)\n    return q, [dict(rule='two_pi_over_a', value=2 * math.pi / (a / 1000), plausibility=3, reason='用 2π/a，而三角格子首峰为 4π/(√3 a)。'),\n               dict(rule='missing_two_pi', value=q / (2 * math.pi), plausibility=2, reason='漏掉 2π。'),\n               dict(rule='second_order_peak', value=q * math.sqrt(3), plausibility=2, reason='报告了第二个峰（√3 倍）。'),\n               dict(rule='square_lattice_q', value=2 * math.pi / (a * (math.sqrt(3) / 2) ** 0.5 / 1000), plausibility=2,\n                    reason='按等密度正方格子计算首峰。')]\n\n\ndef build(spec, root, seed, ability):\n    ask = spec['ask']\n    text_q, decimals, tol, sep, unit, want = ASK[ask]\n    if want != ability:\n        raise ValueError('Quantity %s is not %s' % (ask, ability))\n    text, pts, digest = load(root, spec['asset'])\n    a = lattice_spacing(pts, spec['spacing_nm'])\n    b_mT = spec.get('field_mT')\n    if ask == 'flux':\n        text_q = text_q % kit.display(b_mT, 2)\n    value, cands = candidates(ask, a, b_mT)\n    picked, rejected, goal, rank = kit.choose_numeric(value, cands, decimals=decimals, tolerance=tol, min_separation=sep, seed=seed,\n                                                      context=spec['id'], lower=0, target=spec.get('target_position'),\n                                                      distractor_separation=str(float(sep) / 2))\n    options, audit = kit.label_numeric(value, picked, decimals=decimals, unit=unit, seed=seed, context=spec['id'],\n                                       correct_reason='三角涡旋晶格：a = %.3f nm，B = 2Φ0/(√3 a²) = %.4f mT，n = B/Φ0。' % (a, field_from(a) * 1e3))\n    key = kit.validate_numeric(options, value, decimals=decimals, tolerance=tol, min_separation=sep, unit=unit,\n                               distractor_separation=str(float(sep) / 2))\n    question = '%s %s %s' % (SUBJECT, conditions(spec['paper'], spec['measured_text']), text_q)\n    return dict(question=question, scope=spec['scope'],\n                inputs=[dict(name=spec['asset'].rsplit('/', 1)[1], format='vortex-map', unit='nm', text=text)],\n                numeric=dict(value=kit.display(value, decimals), unit=unit, decimals=decimals, tolerance=tol),\n                options=options, correct_label=key, option_audit=audit, excluded_candidates=rejected, rank=dict(target=goal, achieved=rank),\n                checks=dict(vortices=len(pts), spacing_nm=a, field_mT=field_from(a) * 1e3, density_per_um2=density(a), q10_per_um=q10(a),\n                            limits='理想三角涡旋晶格（论文用作对比的同一理想化）；不含钉扎无序与热涨落。'),\n                scales=dict(input_nm=max(math.dist(p, q) for p in pts for q in pts), reasoning_nm=a, reasoning_definition='涡旋晶格间距 a'),\n                input_hashes={spec['asset']: digest})\n\n\ndef build_geometry(spec, root, seed):\n    return build(spec, root, seed, 'perception')\n\n\ndef build_inference(spec, root, seed):\n    return build(spec, root, seed, 'inference')\n\n\nGOALS = {'spacing': ('the vortex lattice spacing is closest to %g nm', lambda a: a),\n         'sans_q': ('the first-order small-angle-neutron-scattering Bragg peak of the vortex lattice (q = 4π sinθ/λ) is closest to %g μm⁻¹',\n                    q10),\n         'min_density': ('the field is as low as possible while the areal vortex density is at least %g vortices per square micrometre',\n                         density)}\nWRONG = {'spacing': [('row_spacing', lambda a: a * math.sqrt(3) / 2, '把行间距当作晶格间距'),\n                     ('second_neighbour', lambda a: a * math.sqrt(3), '把次近邻距离当作晶格间距')],\n         'sans_q': [('two_pi_over_a', lambda a: 2 * math.pi / (a / 1000), '用 2π/a 计算首峰'),\n                    ('second_order_peak', lambda a: q10(a) * math.sqrt(3), '用第二个峰')],\n         'min_density': [('square_cell', lambda a: 1 / (a / 1000) ** 2, '每个涡旋按 a² 面积计'),\n                         ('half_density', lambda a: density(a) / 2, '晶胞面积多乘 2')]}\n\n\ndef build_design(spec, root, seed):\n    rows, inputs, hashes = [], [], {}\n    for asset, (label, b_mT, a_exp) in zip(spec['candidates'], spec['fields']):\n        text, pts, digest = load(root, asset)\n        a = lattice_spacing(pts, a_exp)\n        rows.append(dict(label=label, name=asset.rsplit('/', 1)[1], a=a, b=b_mT))\n        inputs.append(dict(name=asset.rsplit('/', 1)[1], format='vortex-map', unit='nm', text=text))\n        hashes[asset] = digest\n    goal, t = spec['goal'], spec['target']\n    text_goal, prop = GOALS[goal]\n    why = {}\n    if goal == 'min_density':\n        ok = [r for r in rows if prop(r['a']) >= t]\n        if not ok or min(abs(prop(r['a']) - t) for r in rows) < 0.2:\n            raise ValueError('No candidate meets the target, or one sits too close to it')\n        best = min(ok, key=lambda r: r['b'])\n        for r in rows:\n            if r is best:\n                continue\n            fooled = [rule for rule, f, _ in WRONG[goal] if (f(r['a']) >= t) != (prop(r['a']) >= t)]\n            if prop(r['a']) < t:\n                why[r['label']] = (('passes_if_' + fooled[0]) if fooled else 'too_sparse',\n                                   '密度 %.2f /μm²，未达到 %g%s。' % (prop(r['a']), t, '；若%s会误判为满足' % dict((x, z) for x, _, z in WRONG[goal])[fooled[0]] if fooled else ''),\n                                   3 if fooled else 2)\n            else:\n                why[r['label']] = ('meets_but_higher_field', '密度 %.2f /μm² 满足，但磁场更高。' % prop(r['a']), 2)\n        reason_ok = '满足密度要求的候选中磁场最低（密度 %.2f /μm²）。' % prop(best['a'])\n    else:\n        ranked = sorted(rows, key=lambda r: abs(prop(r['a']) - t))\n        best, runner = ranked[0], ranked[1]\n        if abs(prop(runner['a']) - t) < 1.5 * abs(prop(best['a']) - t) or abs(prop(runner['a']) - t) - abs(prop(best['a']) - t) < 0.03 * t:\n            raise ValueError('Winning margin too small')\n        for rule, f, note in WRONG[goal]:\n            pick = min(rows, key=lambda r: abs(f(r['a']) - t))\n            if pick is not best and pick['label'] not in why:\n                why[pick['label']] = (rule, '%s时它最接近目标（%.2f）。' % (note, f(pick['a'])), 3)\n        for r in rows:\n            if r is not best and r['label'] not in why:\n                why[r['label']] = ('farther_from_target', '正确计算为 %.2f，离目标更远。' % prop(r['a']), 2)\n        reason_ok = '正确计算为 %.2f，最接近目标。' % prop(best['a'])\n    label = lambda r: '%s (%s)' % (r['label'], r['name'])\n    others = [(why[r['label']][0], label(r), why[r['label']][1], why[r['label']][2]) for r in rows if r is not best]\n    order = kit.place(('correct', label(best), reason_ok, 3), others, spec.get('target_position'), seed, spec['id'], key=lambda p: p[0])\n    options = [dict(label=l, value=p[1]) for l, p in zip(kit.LABELS, order)]\n    key = kit.validate_verdicts(options, [p[0] == 'correct' for p in order])\n    audit = [dict(label=l, value=p[1], rule=p[0], reason=p[2], is_correct=p[0] == 'correct') for l, p in zip(kit.LABELS, order)]\n    question = ('The four files list the vortex centres (nm) in model images of the Abrikosov vortex lattice of an MgB2 crystal at four '\n                'applied fields (files named by field). %s You must choose one applied field such that %s. Which field should you choose?'\n                % (conditions('cottet', 'the applied magnetic field of each image'), text_goal % t))\n    return dict(question=question, scope=spec['scope'], inputs=inputs, numeric=None, options=options, correct_label=key,\n                option_audit=audit, excluded_candidates=[], rank=None,\n                checks=dict(candidates=[dict(field=r['label'], spacing_nm=r['a'], value=prop(r['a'])) for r in rows], goal=goal, target=t,\n                            design_note='设计选择：候选为论文中实际施加的磁场，性质由模型涡旋图计算（推断的逆问题）。',\n                            limits='理想三角涡旋晶格；论文指出 188.7 G 时单个涡旋已难以分辨。'),\n                scales=dict(input_nm=12 * max(r['a'] for r in rows), reasoning_nm=max(r['a'] for r in rows),\n                            reasoning_definition='候选中最大的涡旋晶格间距'),\n                input_hashes=hashes)\n",
  "family_engine.py": "\"\"\"Run reusable task families over a manifest of real inputs: define -> construct -> verify.\n\nNo model/API calls. Every instance is built by its family function, all four options\nare verified, and student packets (no answers, evidence or mechanisms) are written\nseparately from reviewer packets. Output directories are never overwritten.\nDevelopment pilots only: nothing here admits questions to the catalog.\n\npython family_engine.py --manifest templates/family-manifest.json --out runs/family-new --seed geobench-family-v1\n\"\"\"\nimport argparse\nimport hashlib\nimport json\nfrom collections import Counter\nfrom pathlib import Path\nfrom task_families import FAMILIES, kit\n\nROOT = Path(__file__).resolve().parent\nVERSION = '0.1.0'\nMODULES = {\n    'M0': '范围与尺度：spec.scope + scales（输入尺度、推理尺度定义）',\n    'M1': '材料：docs/assets 输入、来源、许可与 SHA-256',\n    'M2': '证据：计算器复核或数据集性质记录（审核侧）',\n    'M3': '题型契约：registry.json 中的族定义与适用条件',\n    'M4': '构造：族函数生成题干、正确值与候选错误机制',\n    'M5': '质量：四项逐一核验、唯一性、分隔、捷径诊断',\n    'M6': '导出：学生包 / 审核包分离与运行快照',\n}\n\n\ndef code_files():\n    files = sorted((ROOT / 'task_families').glob('*.py')) + [ROOT / 'family_engine.py', ROOT / 'template_engine.py',\n                                                              ROOT / 'tools/recompute_materials_batch.py',\n                                                              ROOT / 'tools/recompute_materials_batch2.py']\n    return {str(p.relative_to(ROOT)).replace('\\\\', '/'): p for p in files}\n\n\ndef build_instance(spec, seed):\n    family = FAMILIES[spec['family']]\n    if not spec.get('scope', '').strip() or not spec.get('source', '').strip():\n        raise ValueError('Missing scope or source')\n    asset = (ROOT / 'docs' / spec['asset']).resolve()\n    if not asset.is_relative_to((ROOT / 'docs/assets').resolve()):\n        raise ValueError('Asset must stay inside docs/assets')\n    return family, family['build'](spec, ROOT, seed)\n\n\ndef run(manifest_path, out, seed='geobench-family-v1'):\n    manifest_path, out = Path(manifest_path), Path(out)\n    if out.exists():\n        raise ValueError('Output exists; use a new directory to preserve history')\n    manifest = json.loads(manifest_path.read_text(encoding='utf-8'))\n    ids = [x['id'] for x in manifest['items']]\n    if not ids or len(set(ids)) != len(ids):\n        raise ValueError('Empty batch or duplicate ID')\n    students, numeric_students, teachers, stages, failures = [], [], [], [], []\n    counters = Counter()\n    for spec in manifest['items']:\n        # Batch-level balance: within each family, correct positions cycle A..D from a seeded offset.\n        offset = kit.digest(seed, spec['family'], 'offset')[0] % 4\n        spec = dict(spec, target_position=1 + (offset + counters[spec['family']]) % 4)\n        counters[spec['family']] += 1\n        try:\n            family, built = build_instance(spec, seed)\n        except (ValueError, KeyError) as error:\n            failures.append(dict(id=spec['id'], family=spec['family'], stage='construct/verify', reason=str(error)))\n            continue\n        students.append(dict(id=spec['id'], family=spec['family'], ability=family['ability'],\n                             question=built['question'], scope=built['scope'], inputs=built['inputs'],\n                             options=built['options'], response_format='one label: A/B/C/D'))\n        if built['numeric']:\n            n = built['numeric']\n            numeric_students.append(dict(id='N-' + spec['id'], family=spec['family'], ability=family['ability'],\n                                         question=built['question'], scope=built['scope'], inputs=built['inputs'],\n                                         response_format=dict(value='one number rounded to %d decimals' % n['decimals'],\n                                                              unit=n['unit'])))\n        shortcuts = None\n        if built['rank']:\n            pairs = [(o['label'], o['value']) for o in built['options']]\n            shortcuts = dict(kit.rank_shortcuts(pairs, built['correct_label']),\n                             mirror_pair_cue=kit.mirror_pair_cue(pairs, built['correct_label']))\n        teachers.append(dict(id=spec['id'], family=spec['family'], family_version=family['version'],\n                             ability=family['ability'], correct_label=built['correct_label'],\n                             numeric_answer=built['numeric'], option_audit=built['option_audit'],\n                             excluded_candidates=built['excluded_candidates'], rank=built['rank'],\n                             rank_shortcuts=shortcuts, checks=built['checks'], scales=built['scales'],\n                             source=spec['source'], license=spec.get('license', ''), legacy_qa=spec.get('legacy_qa'),\n                             input_hashes=built['input_hashes'], seed=seed, target_position=spec['target_position'],\n                             option_order=built.get('option_order') or ('numeric ascending (label = rank)' if built['rank'] else 'correct at batch-balanced target; others sha256-sorted'),\n                             human_review='pending', catalog_admitted=False))\n        stages.append(dict(id=spec['id'], family=spec['family'],\n                           define=dict(family=spec['family'], version=family['version'], ability=family['ability'],\n                                       output=family['output'], module=family['module']),\n                           construct=dict(inputs=[dict(name=i['name'], format=i['format'], chars=len(i['text']))\n                                                  for i in built['inputs']],\n                                          candidates_considered=len(built['option_audit']) + len(built['excluded_candidates'])),\n                           verify=dict(four_options_verified=True, unique_correct=True, correct_label=built['correct_label'],\n                                       checks=sorted(k for k, v in built['checks'].items() if v is True)),\n                           modules=MODULES))\n    positions = Counter(t['correct_label'] for t in teachers)\n    by_family = {}\n    for t in teachers:\n        f = by_family.setdefault(t['family'], dict(passed=0, shortcut_hits=Counter()))\n        f['passed'] += 1\n        for k, v in (t['rank_shortcuts'] or {}).items():\n            f['shortcut_hits'][k] += int(v)\n    for f in failures:\n        by_family.setdefault(f['family'], dict(passed=0, shortcut_hits=Counter()))\n    for name, f in by_family.items():\n        f['attempted'] = sum(1 for s in manifest['items'] if s['family'] == name)\n        f['shortcut_hits'] = dict(f['shortcut_hits'])\n    code = code_files()\n    report = dict(version=VERSION, kind='reusable_family_development_pilot', seed=seed,\n                  attempted=len(ids), passed=len(teachers), failures=failures, model_calls=0,\n                  catalog_admitted=0, human_review='pending', by_family=by_family,\n                  correct_position_counts={l: positions.get(l, 0) for l in kit.LABELS},\n                  manifest_sha256=kit.sha256(manifest_path.read_bytes()),\n                  registry_sha256=kit.sha256((ROOT / 'templates/registry.json').read_bytes()),\n                  code_sha256={k: kit.sha256(p.read_bytes()) for k, p in code.items()},\n                  difficulty_note='程序通过只说明四项已核验且唯一正确；难度、迷惑性与科学意义仍需人工审核与模型实验。',\n                  limits='开发试跑，不计入题库；模板与来源选择待人工审核。')\n    out.mkdir(parents=True)\n    for name, data in [('student-packets.json', students), ('numeric-student-packets.json', numeric_students),\n                       ('private-answers.json', teachers), ('stage-records.json', stages), ('verification.json', report)]:\n        (out / name).write_text(json.dumps(data, ensure_ascii=False, indent=2) + '\\n', encoding='utf-8', newline='\\n')\n    snap = out / 'snapshot'\n    for rel, p in code.items():\n        (snap / rel).parent.mkdir(parents=True, exist_ok=True)\n        (snap / rel).write_bytes(p.read_bytes())\n    (snap / 'manifest.json').write_bytes(manifest_path.read_bytes())\n    (snap / 'registry.json').write_bytes((ROOT / 'templates/registry.json').read_bytes())\n    return report\n\n\nif __name__ == '__main__':\n    p = argparse.ArgumentParser(description=__doc__)\n    p.add_argument('--manifest', type=Path, required=True)\n    p.add_argument('--out', type=Path, required=True)\n    p.add_argument('--seed', default='geobench-family-v1')\n    a = p.parse_args()\n    r = run(a.manifest, a.out, a.seed)\n    print(json.dumps(dict(attempted=r['attempted'], passed=r['passed'], failures=r['failures'],\n                          positions=r['correct_position_counts'], model_calls=0), ensure_ascii=False))\n"
 },
 "run": "family-pilot-v37",
 "note": "Public development examples; student packets and reviewer packets are separate. All pending human audit; no catalog admissions; not a hidden test set."
}
