numerical-evidence.json

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2723 bytes, as of the version from 2026-11-02 18:57 (current). Recorded here, not run.

{
  "entries": 418,
  "forms": 138,
  "orbits": 90,
  "exact_zeros": 17,
  "nonreal_forms": 26,
  "max_relative_errors": {
    "independent": "3.183185885654608779294054894023547286717105142563877094802141199149143219503191880138707806126964239567642950435461124895658830537219641505386232431812899229732987123286238221609506430356462289051962e-199",
    "precision": "3.312168642111238067511787137792349006105250956810873439138517652405315054884357508473946514371467754572325327469355871847073270728512152176963818574858360173732157246604e-170",
    "root_number": "1.719646118860048467143380993136743822693992731588959773669454087578693445993183222043077767165793060396665469854227085167208326060899421841627775628193382598952414474521395693267857605280352962097892e-199",
    "functional_equation": "1.009830604854651924170356921252575513314182246439724714213843282554315282318177713054829950745291640340722356947567046860799277877134723071034304446730067880217461108592275075816824503795603363351960288463604213508737184834206967e-229",
    "conjugation": "0",
    "truncation": "3.73161300522835942346090996719364886173198321088951772260687821485546492161182976356488393995451273009401197734009484827804551490207955485953408427196414156808e-159"
  },
  "largest_lfuncheckfeq_bits": -763,
  "measure": {
    "entries": 418,
    "longest": 353,
    "longest_at": "24.3.h.c.5.3,1",
    "block_kb": 95.498046875
  },
  "controls": "Exact eta-product coefficients through n=100 for 3.6.a.a, 5.4.a.a, 7.3.b.a; nonzero a2 and a3 controls before measurements",
  "methods": "Fresh PARI at 160 and 220 digits; independent catalogue Euler recurrences and split Mellin sums at 150 digits/450 terms and 190 digits/600 terms",
  "skill_manifest": "agents/runs/20261102T183459Z-build-skills/manifest.json",
  "skill_sha256": "a2b28d9953264d7b0ca62663785c2952190c5be6d6d3597fd695d9a54d606278",
  "software": {
    "SageMath": "10.9",
    "PARI": "2.17.1",
    "numberdb": "0.1.10"
  },
  "precision_calls": "Every numerical cypari2 call receives an explicit bit precision; changing the PARI display/default precision alone did not change cypari2 defaults.",
  "sturm_and_field_checks": "All 90 orbits were identified by exact field isomorphisms; 100 catalogue coefficients agreed exactly for each orbit. Every isolating rectangle contains exactly one simple algebraic root.",
  "postfill": {
    "table": "T683",
    "verified": 418,
    "independent_stored_claims": 418,
    "stored_functional_equations": 418,
    "stored_conjugation_identities": 418,
    "exact_zeros": 17
  },
  "stored_text_measure": {
    "longest_characters": 214,
    "entry_records_bytes": 70701
  },
  "audit": {
    "clean": true,
    "findings": []
  }
}