{"id": "c676", "title": "C676 — Reconstruct the recovered35 phase pair", "filename": "C676.md", "role": "Research action", "step": 676, "sha256": "8818e4700dce1c1fb1f7574eb57a3fee9e6b8d7b40aeb85e32ee81da6bdffa59", "bytes": 1288, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C676"], "download": "/sources/8818e4700dce1c1fb1f7574eb57a3fee9e6b8d7b40aeb85e32ee81da6bdffa59.md", "format": "md", "derived": true, "tags": [], "excerpt": "What exact coordinates result from withdrawing2.5 at both normalized endpoints?", "content": "# C676 — Reconstruct the recovered35 phase pair\n\n## Question\n\nWhat exact coordinates result from withdrawing2.5 at both normalized endpoints?\n\n## Inputs\n\n```json\n{\n  \"T_coordinates\": [\n    \"5783/2\",\n    \"5703/2\"\n  ],\n  \"N_coordinates\": [\n    2891,\n    2851\n  ],\n  \"withdrawal\": \"5/2\"\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §4.3; derived phase-resolution test\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:11:12.299801+00:00\n\n## Results\n\n```json\n{\n  \"from_T_coordinates\": [\n    2889,\n    2854\n  ],\n  \"from_T_labels\": [\n    \"2889n\",\n    \"2854n\"\n  ],\n  \"from_N_coordinates\": [\n    \"5777/2\",\n    \"5707/2\"\n  ],\n  \"from_N_labels\": [\n    \"2889t\",\n    \"2854t\"\n  ]\n}\n```\n\n## Finding\n\nWithdrawing2.5 from both normalized endpoints recovers width35 and changes the displayed suffix: the Tishri coordinates land on Nisan labels, and vice versa. The apparent integer-label ambiguity is resolved by the exact half-year convention.\n\n## Reassessment\n\nGenerate the two40 brackets and their common120 field.\n\n## Checks\n\n```json\n{\n  \"T_to_N\": true,\n  \"N_to_T\": true,\n  \"widths\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:11:12.300041+00:00\n\n## Record provenance\n\nExact record hash: `e4e7f7c186a8300250e317a5d0021a4a8dfc136572995d93966ea4ae6ac8d330`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}