{"id": "c753", "title": "C753 — Transfer the defect law across traditions", "filename": "C753.md", "role": "Research action", "step": 753, "sha256": "3207bf9df012c07d9e50d51526849791a3c8d6535bc33399f3c7d47c1ae3ffa7", "bytes": 1691, "origins": ["C480–C1634/Research_Cycles/C0732_C0831/journal.json#C753"], "download": "/sources/3207bf9df012c07d9e50d51526849791a3c8d6535bc33399f3c7d47c1ae3ffa7.md", "format": "md", "derived": true, "tags": ["Cumulative", "Rounded"], "excerpt": "Which ordinary rows have nonzero defects in each tradition?", "content": "# C753 — Transfer the defect law across traditions\n\n## Question\n\nWhich ordinary rows have nonzero defects in each tradition?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File18 rows; File51a rules\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:53:45.849230+00:00\n\n## Results\n\n```json\n{\n  \"defects\": {\n    \"MT_native_OFF\": {\n      \"Methuselah\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          2\n        ]\n      },\n      \"Reu\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          2\n        ]\n      }\n    },\n    \"LXX_native_ON\": {\n      \"Methuselah\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          2\n        ]\n      },\n      \"Lamech\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          1\n        ]\n      },\n      \"Reu\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          2\n        ]\n      }\n    },\n    \"SP_native_OFF\": {\n      \"Reu\": {\n        \"K\": -5,\n        \"residues\": [\n          2,\n          2\n        ]\n      }\n    }\n  },\n  \"inclusive_rows_not_ordinary_biographies\": {\n    \"MT_native_OFF\": [],\n    \"LXX_native_ON\": [],\n    \"SP_native_OFF\": [\n      \"Jared\",\n      \"Methuselah\",\n      \"Lamech\"\n    ]\n  }\n}\n```\n\n## Finding\n\nLXX adds main Lamech(182+571=753), class(2,1), with defect−5. SP ordinary Reu also has−5. Inclusive SP rows remain ledger diagnostics.\n\n## Reassessment\n\nReconstruct the full MT cumulative rounding field.\n\n## Checks\n\n```json\n{\n  \"MT\": true,\n  \"LXX\": true,\n  \"SP\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:53:45.849834+00:00\n\n## Record provenance\n\nExact record hash: `66aa0364f0053ffc5926e5fc098b542f4d1f78ad357b2f188f6d65559db9228d`\n\nSource journal: `Research_Cycles/C0732_C0831/journal.json`", "journalDownload": "/sources/8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d.json", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}