{
  "table": "T438",
  "phase": "broaden natural arguments and synchronize coverage notes",
  "baseline_revision": "4cc199eb58e61c6d78c24b9e61ff094c4ec75413b418be5d7c0a06ea7a63569f",
  "archive_label": "draft-expansion-2026-09-24",
  "authority": "The current website database and revisions; this computation archive is supporting evidence.",
  "parameter_values": {
    "q": [
      "1",
      "1/2",
      "1/3",
      "1/4",
      "1/6",
      "1/8",
      "2",
      "2/3",
      "3",
      "3/2",
      "3/4",
      "4",
      "4/3",
      "6",
      "8"
    ],
    "n": [
      "1",
      "2",
      "3",
      "4",
      "5",
      "6"
    ],
    "z": [
      "0",
      "1/10",
      "1/12",
      "1/2",
      "1/3",
      "1/4",
      "1/5",
      "1/6",
      "1/8",
      "2/5",
      "3/10",
      "3/8",
      "5/12"
    ]
  },
  "coverage_note": "it holds $1\\leq n\\leq6$, $q\\in\\{1/8,1/6,1/4,1/3,1/2,2/3,3/4,1,4/3,3/2,2,3,4,6,8\\}$ and $z/\\pi\\in\\{0,1/12,1/10,1/8,1/6,1/5,1/4,3/10,1/3,3/8,2/5,5/12,1/2\\}$ (1170 entries). The couplings and triangle-, square- and pentagon-derived angles match the even Mathieu table. Exact symmetry zeros are included; other orders, couplings and arguments are not included.",
  "coverage_validated_against_every_cartesian_parameter_combination": true,
  "before": 150,
  "after": 1170,
  "comparison_counts": {
    "new": 1020,
    "same": 150
  },
  "generator_sha256": "5aaf8e7911c920d3ae01de095a86a32a67c23ef4d6ac4218e8b8dd5dbdcfe89b",
  "checks": "generator agreement checks",
  "cross_checks": {
    "finite_entries": 1170
  },
  "allowed_prose_changes": [
    [
      "Data properties",
      "complete-note"
    ],
    [
      "Data properties",
      "rigour details"
    ]
  ],
  "preserved": "Definitions, formulas, parameters, normalization conventions, rigour levels, references, unrelated prose, draft status and every pre-existing entry.",
  "previous_selection_retained_in_revision_history": true,
  "engine": "codex-cli",
  "model": "gpt-5.2",
  "session": "019c3fb0-a459-7fa3-9d1b-82994c678238"
}