numerical-evidence.json

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2467 bytes, as of the version from 2026-10-26 22:20 (current). Recorded here, not run.

{
  "table": "T530",
  "orders": [
    1,
    12
  ],
  "entries": 12,
  "exact_even_moments": 6,
  "certified_odd_moments": 6,
  "stored_digits": 100,
  "working_bits": 513,
  "minimum_relative_accuracy_bits": 509,
  "per_odd_order_accuracy_bits": [
    510,
    510,
    509,
    509,
    510,
    509
  ],
  "independent_working_bits": 768,
  "resolvent_coefficients": [
    "1",
    "1",
    "17/2",
    "753/4",
    "62901/8",
    "8472015/16",
    "1675588995/32",
    "457153213545/64",
    "164511527678505/128",
    "75490659112103235/256",
    "43021179394014983175/512",
    "29809092222639933882525/1024",
    "24678865080035522005020525/2048"
  ],
  "rational_factors": [
    "1/3",
    "17/96",
    "251/1260",
    "6989/40960",
    "188267/720720",
    "37235311/132120576",
    "1451280043/2793510720",
    "522258818027/797253304320",
    "8096107769/5860512000",
    "1011667945773427/515911471595520",
    "63725278654566691/13862741077785600",
    "17585994035619348337/2449360062964039680"
  ],
  "airy_quotient_all_orders": true,
  "feynman_kac_all_orders": true,
  "all_stated_recurrences": true,
  "janson_table8_orders_1_to_4": true,
  "perman_wellner_table1_orders_1_to_10": true,
  "program_checked_all_orders": true,
  "written_interval_containment": true,
  "strict_log_convexity_orders_1_to_11": true,
  "gaussian_checks": {
    "working_decimal_digits": 85,
    "nonzero_control": "integral sin^2(theta) cos^2(theta) = pi/16",
    "control_error": "0.0",
    "mean": "0.26596152026762178529329737328958791231723908744328977177728388644710528393286789",
    "second_moment": "0.17708333333333333333333333333333333333333333333333333333333333333333333333333333",
    "method": "Gaussian marginal mean and joint positive-part product integral; agreement check, not certification"
  },
  "measurement": {
    "entries": 12,
    "longest": 102,
    "longest_at": "1",
    "block_kb": 1.1357421875
  },
  "stored_readback": {
    "entries": 12,
    "all_independent_enclosures_contained": true,
    "inverted_moment_formula_and_convolution": true,
    "strict_log_convexity": true
  },
  "instruction_manifest": "agents/runs/20261026T220819Z-build-skills/manifest.json",
  "instruction_sha256": "b4d51ded0d52cfe3dcc0859de0845c3879b0c2363273ba7e809a7e06ded40b18",
  "generator_sha256": "cfaa3bb5f44fb57d2752442717e11e3389bf43ef2b5ee13832f3b93ed9946cbe",
  "versions": {
    "sage": "10.9",
    "mpmath": "1.4.1",
    "numberdb": "0.1.10"
  }
}