{
  "table": "T528",
  "run": "20261026T212537Z",
  "instruction_manifest": "agents/runs/20261026T212537Z-repair-skills/manifest.json",
  "instruction_manifest_sha256": "d03b756eaa1cd22ce39c8cee78fb3a44b052146786d6371925ac7bc9dec564f3",
  "skill_sha256": "b4d51ded0d52cfe3dcc0859de0845c3879b0c2363273ba7e809a7e06ded40b18",
  "method": "Independent rational d recurrence, exact Gamma simplifications, 768-bit Arb; Janson https://arxiv.org/pdf/0704.2289 equations (24)-(25), Table 1 controls. No approximate input arguments.",
  "sage": "10.9",
  "python": "3.12.3",
  "numberdb": "0.1.10",
  "working_bits": 768,
  "rows_checked": 12,
  "controls": "d_1,d_2,d_3 and rho_0,rho_1,rho_2,rho_3 factors matched Table 1",
  "numbers_sha256": "f4cbfb5274b16027b03ade453fcc50832c4ed60a50cfe74899b41290eae8ddc9",
  "rows": [
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      "k": 0,
      "factor": "1/4",
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      "significant_digits": 100,
      "contained": true,
      "error_in_ulps": "[0.2900249316630096991121658090453168404523946391399153698297835887011453093278433195107825498470066178755861637622460645058235346569 +/- 6.39e-131]",
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      "exact_match": true,
      "direct_gamma_agrees": true
    },
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      "significant_digits": 100,
      "contained": true,
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    },
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  "all_passed": true,
  "scope": "Repair numerical verification only; not an independent argument-selection verdict."
}
