{
  "table": "T642",
  "mode": "stored",
  "skill_manifest": "agents/runs/20261031T225043Z-build-skills/manifest.json",
  "skill_sha256": {
    "local": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
    "live": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278"
  },
  "versions": {
    "sage": "10.9",
    "numberdb": "0.1.10",
    "python": "3.12.3"
  },
  "parameters": {
    "N": {
      "category": "discrete_index",
      "extent": "2 <= N <= 30"
    }
  },
  "generator_working_bits": 461,
  "independent_working_bits": 640,
  "direct_trigamma_terms": 16,
  "tail_expansion_terms": 112,
  "entry_count": 29,
  "gram_entries_checked": 900,
  "symmetric_gram_entries": 465,
  "min_generator_accuracy_bits": 449,
  "max_independent_radius": "2.8791772e-137",
  "known_answer_controls": [
    "G(1,1)=log(2*pi)-gamma",
    "E(2)=3+log(2*pi)-3*gamma",
    "target integral between harmonic partial sum and explicit 1/1001 tail"
  ],
  "negative_controls": [
    "G(1,1)+1/100 disjoint",
    "wrong residual sign rejected",
    "ten-last-place stored perturbation rejected for all 29 entries"
  ],
  "checks": [
    "finite narrow balls",
    "independent integral agreement",
    "all weights including exact endpoints",
    "Gram symmetry",
    "strict containment in 100-digit last-place intervals",
    "E_N > independently solved d_N^2",
    "E_N-d_N^2=(w+c)^T G (w+c)"
  ],
  "elapsed_seconds": 15.763,
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  "source_sha256": {
    "generate.py": "013855f8cd9fed57dcbf12ab53a6fa7fb2a005c827f4d8177afd284348252a6c",
    "checks.py": "b56cd676463096d4ebb5fe42e9bcdc317ebd92edcb90f1ba6d20ca28605cd4ef"
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  "numberdb_verify": {
    "ok": true,
    "report": "<VerifyReport T642: 29/29 matched, 0 differing, 0 missing, 0 extra>"
  }
}
