stored-checks.json

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14894 bytes, as of the version from 2026-11-10 22:53 (current). Recorded here, not run.

{
  "table": "T710",
  "checked_entries": 22,
  "total_entries": 22,
  "failures": [],
  "known_answer_control": true,
  "negative_control_rejected": true,
  "working_bits": 512,
  "rows": [
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      "polynomial_residual": "[+/- 9.31e-153]",
      "checked_residues": 2,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
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    },
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      "k": 4,
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      "radius": "7.8664374e-154",
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    },
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      "k": 9,
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      "k": 10,
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    },
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      "k": 11,
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      "polynomial_residual": "[+/- 1.17e-128]",
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      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
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      "irreducible": true
    },
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      "k": 14,
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    {
      "k": 15,
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      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
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      "k": 16,
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      "checked_residues": 8,
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      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
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      "k": 17,
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      "polynomial_residual": "[+/- 4.25e-116]",
      "checked_residues": 16,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
    },
    {
      "k": 18,
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      "polynomial_residual": "[+/- 1.71e-142]",
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      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
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      "irreducible": true
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    {
      "k": 19,
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      "characteristic_multiplicity": 2,
      "chars": 371,
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      "polynomial_residual": "[+/- 2.94e-109]",
      "checked_residues": 18,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
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      "orbit_polynomial_equal": true,
      "irreducible": true
    },
    {
      "k": 20,
      "degree": 4,
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      "characteristic_multiplicity": 2,
      "chars": 60,
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      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
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      "irreducible": true
    },
    {
      "k": 21,
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      "chars": 222,
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      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
    },
    {
      "k": 22,
      "degree": 10,
      "L": 44,
      "ambient_degree": 20,
      "characteristic_multiplicity": 2,
      "chars": 128,
      "value_ball": "[13.1401004591502356277845042537931567323667763911519980534698498554720351437422439732871756586585951265280165070967417492558999088528910718995739573984926 +/- 7.67e-152]",
      "radius": "6.6748310e-152",
      "accuracy_bits": 505,
      "polynomial_residual": "[+/- 9.68e-130]",
      "checked_residues": 10,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
    },
    {
      "k": 23,
      "degree": 22,
      "L": 92,
      "ambient_degree": 44,
      "characteristic_multiplicity": 2,
      "chars": 564,
      "value_ball": "[14.0479934634421928248094824063187650520024978748372817464696954731932206213224877664805987599062812863282804109491590880221268126795869895362270088193037 +/- 6.68e-152]",
      "radius": "5.8437825e-152",
      "accuracy_bits": 505,
      "polynomial_residual": "[+/- 2.25e-95]",
      "checked_residues": 22,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
    },
    {
      "k": 24,
      "degree": 4,
      "L": 24,
      "ambient_degree": 8,
      "characteristic_multiplicity": 2,
      "chars": 50,
      "value_ball": "[14.969744752807081087087532483467211414936377928067758544826546273557845157961981614656970572580002368798524902783332603893468006620524040462275851036218 +/- 2.24e-151]",
      "radius": "7.4900963e-152",
      "accuracy_bits": 505,
      "polynomial_residual": "[+/- 2.94e-145]",
      "checked_residues": 8,
      "root_bracket_halfwidth": "2^-400 plus direct ball radius",
      "exact_annihilation": true,
      "orbit_polynomial_equal": true,
      "irreducible": true
    }
  ],
  "known_polynomials": {
    "2": "x",
    "3": "27*x^2-1",
    "4": "2*x-1",
    "6": "27*x^2-49"
  },
  "independence": "Estermann double sum and full orbit product; no generator import or minpoly call. Shared Sage polynomial arithmetic and irreducibility backend.",
  "skill_manifest": "../20261110T221640Z-build-skills/manifest.json",
  "skill_bundle_sha256": "d6661c2f21613524889fa3a57d3c95f8330344ca62e5a856211c08a282b7dbab",
  "input": "Live authenticated API read of T710 after upload"
}