TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-TWO-ACTUAL-HARDY-PERIODS-CHECK.json Original file SHA-256: e19fde1d00f64ee9b0317cba6e8a6b32296ca24873b8104f9007bd366f1771a6 Inclusive original lines: 1-10 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000001 | { 000002 | "scope": "Independent continuous-root periods for the same coefficient differential, contingent on actual endpoint support/sign calibration supplied separately.", 000003 | "I02_real": "0.1258739334853158906973132600522979652656063408319981261382676946057897", 000004 | "I02_imag": "-0.4697679151157443151336120497675343216715922177936293157673565569233902", 000005 | "I21_real": "-0.4213752856971043792014444689166786680971744633140320009706122250659868", 000006 | "I21_imag": "1.572593975275444788048708055806669722450561285370357539024954606266496", 000007 | "I21_over_I02_real": "-3.34759766402518015536083184881926781193628172562625753827017000030213", 000008 | "ratio_imaginary_residual": "-1.906585871873834939624641146101875243968300501009264485488747492363005e-71", 000009 | "no_free_phase_chosen": true 000010 | }