numerical-evidence.json

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10261 bytes, as of the version from 2026-10-27 20:42 (current). Recorded here, not run.

{
  "table": "T560",
  "source_mode": "dry",
  "skill_manifest": "agents/runs/20261027T201044Z-build-skills/manifest.json",
  "skill_sha256": "e37efb7e2ededf6c1d7134c673f152f648f26e0267c556aebdf3ec65765d8b4c",
  "versions": {
    "Sage": "10.9",
    "numberdb": "0.1.10"
  },
  "controls_passed": [
    "series exp(t)",
    "series 1/(1-t)",
    "genus-one total and signed volume",
    "both genus-two hyperelliptic coefficients",
    "MPFI rational 1/3 with narrow enclosure",
    "Machin pi identity"
  ],
  "selection": {
    "profiles": 18,
    "components": 25,
    "component_counts": [
      2,
      7,
      16
    ],
    "order_checked": true
  },
  "mathematically_independent_rows": 9,
  "independent_checks": [
    "six hyperelliptic coefficients from AEZ/CMSZ",
    "minimal total volumes and spin differences from CMSZ rational series; six minimal-component rows"
  ],
  "same_source_second_transcription_rows": 23,
  "principal_saddle_connection_ratios": [
    "27/8",
    "162/7",
    "22275/377"
  ],
  "outside_family_identity": "H(2) volume = (zeta(2)^2-zeta(4))/2 = zeta(2,2)",
  "all_written_intervals_certified_with_mpfi": true,
  "minimum_relative_accuracy_bits": 393,
  "size": {
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    "longest": 138,
    "longest_at": [
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    "block_kb": 6.2470703125
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      "coefficient": "131/13608000",
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      "coefficient": "1/136080",
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    {
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      },
      "coefficient": "377/67359600",
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  ],
  "limitations": "General nonhyperelliptic multizero volumes are exact source transcriptions, not independently recomputed from intersection theory. The 23-row software table cites EMZ and therefore independently checks transcription and normalization only. All 25 EMZ coefficients were visually checked against Table 1. The two remaining rows are also covered by the genus-four principal-stratum ratio from EMZ Table 2."
}