{
  "passed": true,
  "sage_exact_cyclotomic_cases": 527,
  "n_values": [
    -64,
    40
  ],
  "residues_mod12": [
    8,
    4
  ],
  "parent_annihilator_checked": true,
  "projected_class": "1/3 mod Z",
  "scope": "Exact finite validation of published identity and model-to-literature arithmetic; no novelty or physical-completion certification",
  "source_sha256": "fd59496b37a3f6d84efe5d9f6ff453775a245e261081f166008f42958dc308bf",
  "sage_image": "sha256:b0336c3d5dfbe1c62965f219523a9f8712317e613b7453147675cfe6cdf3dab7",
  "network": "none"
}