{"id": "c587", "title": "C587 — Generate all twelve Enoch cells", "filename": "C587.md", "role": "Research action", "step": 587, "sha256": "7240f4900a49a016347000178ceb248291aac0fb71f52dab2cc66b13b07c6f65", "bytes": 2777, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C587"], "download": "/sources/7240f4900a49a016347000178ceb248291aac0fb71f52dab2cc66b13b07c6f65.md", "format": "md", "derived": true, "tags": [], "excerpt": "Can one count-and-carrier rule recover the complete source family?", "content": "# C587 — Generate all twelve Enoch cells\n\n## Question\n\nCan one count-and-carrier rule recover the complete source family?\n\n## Inputs\n\n```json\n{\n  \"N\": [\n    77,\n    63,\n    50\n  ],\n  \"g\": [\n    70,\n    72\n  ],\n  \"rail\": 110,\n  \"terminal_AD\": 65,\n  \"Enoch_index\": 7\n}\n```\n\n## Sources\n\n```json\n[\n  \"File69 §§1–3; Appendix B.1–B.4\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:21:07.811549+00:00\n\n## Results\n\n```json\n{\n  \"cells\": [\n    {\n      \"N\": 77,\n      \"g\": 70,\n      \"u\": 180,\n      \"cell\": [\n        12646,\n        12536,\n        12576,\n        12466\n      ]\n    },\n    {\n      \"N\": 63,\n      \"g\": 70,\n      \"u\": 180,\n      \"cell\": [\n        10126,\n        10016,\n        10056,\n        9946\n      ]\n    },\n    {\n      \"N\": 50,\n      \"g\": 70,\n      \"u\": 180,\n      \"cell\": [\n        7786,\n        7676,\n        7716,\n        7606\n      ]\n    },\n    {\n      \"N\": 77,\n      \"g\": 72,\n      \"u\": 182,\n      \"cell\": [\n        12786,\n        12676,\n        12714,\n        12604\n      ]\n    },\n    {\n      \"N\": 63,\n      \"g\": 72,\n      \"u\": 182,\n      \"cell\": [\n        10238,\n        10128,\n        10166,\n        10056\n      ]\n    },\n    {\n      \"N\": 50,\n      \"g\": 72,\n      \"u\": 182,\n      \"cell\": [\n        7872,\n        7762,\n        7800,\n        7690\n      ]\n    },\n    {\n      \"N\": 77,\n      \"g\": 70,\n      \"u\": 70,\n      \"cell\": [\n        4946,\n        4836,\n        4876,\n        4766\n      ]\n    },\n    {\n      \"N\": 63,\n      \"g\": 70,\n      \"u\": 70,\n      \"cell\": [\n        3966,\n        3856,\n        3896,\n        3786\n      ]\n    },\n    {\n      \"N\": 50,\n      \"g\": 70,\n      \"u\": 70,\n      \"cell\": [\n        3056,\n        2946,\n        2986,\n        2876\n      ]\n    },\n    {\n      \"N\": 77,\n      \"g\": 72,\n      \"u\": 72,\n      \"cell\": [\n        5086,\n        4976,\n        5014,\n        4904\n      ]\n    },\n    {\n      \"N\": 63,\n      \"g\": 72,\n      \"u\": 72,\n      \"cell\": [\n        4078,\n        3968,\n        4006,\n        3896\n      ]\n    },\n    {\n      \"N\": 50,\n      \"g\": 72,\n      \"u\": 72,\n      \"cell\": [\n        3142,\n        3032,\n        3070,\n        2960\n      ]\n    }\n  ],\n  \"coordinate_matches\": 48,\n  \"rule\": \"x=(N−7)u−64; cell=(x+110,x,x+110−g,x−g)\"\n}\n```\n\n## Finding\n\nOne indexed carrier expression reconstructs48 printed coordinates across twelve cells. Accumulation uses u, while local birth-to-ascension uses g; retaining both is the key compression.\n\n## Reassessment\n\nTest whether a single ordinary affine map could replace the indexed carrier rule.\n\n## Checks\n\n```json\n{\n  \"coverage\": true,\n  \"local_spans\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:21:07.812677+00:00\n\n## Record provenance\n\nExact record hash: `583c5dfd0c0212b9525a21f69f627817931e26f8e1b3bff7c98917bc3f411830`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-e415d58136a6e9bc", "title": "File 69"}]}