{"id": "c492", "title": "C492 — Resolve regular rounded-to-actual residual", "filename": "C492.md", "role": "Research action", "step": 492, "sha256": "c888227cae0e976ab1b4383c16751cdb6db833355312cbe17196d16c1c9489f6", "bytes": 1306, "origins": ["C480–C1634/Research_Cycles/C0482_C0531/journal.json#C492"], "download": "/sources/c888227cae0e976ab1b4383c16751cdb6db833355312cbe17196d16c1c9489f6.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Rounded"], "excerpt": "Is the regular +8 shift all rounding?", "content": "# C492 — Resolve regular rounded-to-actual residual\n\n## Question\n\nIs the regular +8 shift all rounding?\n\n## Inputs\n\n```json\n{\n  \"Actual_minus_Rounded_begetting_residuals\": {\n    \"Jared\": 2,\n    \"Methuselah\": 2,\n    \"Lamech\": 2,\n    \"Eber\": -1,\n    \"Reu\": 2,\n    \"Nahor\": -1\n  },\n  \"Rounded_MT\": 4106,\n  \"Rounded_LXX\": 5486,\n  \"selected_Shem_difference\": 2\n}\n```\n\n## Sources\n\n```json\n[\n  \"File51a §§2.1,3.1–3.3\",\n  \"File18 §§4.1–4.2\",\n  \"File52c §3.14\"\n]\n```\n\n## Opened utc\n\n2026-09-27T22:41:26.339629+00:00\n\n## Results\n\n```json\n{\n  \"begetting_residual_sum\": 6,\n  \"MT_heads\": [\n    4106,\n    4112,\n    4114\n  ],\n  \"LXX_heads\": [\n    5486,\n    5492,\n    5494\n  ]\n}\n```\n\n## Finding\n\nNo. Six row residuals sum+6; the selected standard versus strict Shem convention supplies the additional+2. The same decomposition applies to the supplied MT and LXX regular heads; it does not authorize upstream Gear transport.\n\n## Reassessment\n\nResolve the cumulative −2 separately before calling the combined shift a conservation law.\n\n## Checks\n\n```json\n{\n  \"sum\": true,\n  \"heads\": true\n}\n```\n\n## Closed utc\n\n2026-09-27T22:41:26.339946+00:00\n\n## Record provenance\n\nExact record hash: `4d36a3fc6fe3930ede92f3f0de459daeb2be77c5c9c50b10d4927126ffefdced`\n\nSource journal: `Research_Cycles/C0482_C0531/journal.json`", "journalDownload": "/sources/6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb.json", "evidenceLinks": [{"id": "file52c", "title": "File 52c"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d8aa38afb2a2df8f", "title": "File 51a"}]}