{"id": "c1040", "title": "C1040 — Primitive common-Key landing condition", "filename": "C1040.md", "role": "Research action", "step": 1040, "sha256": "14394f10d4e702e25aa20380c6e4ebc755236c4de71caa09ae8f42beee0300c7", "bytes": 1076, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1040"], "download": "/sources/14394f10d4e702e25aa20380c6e4ebc755236c4de71caa09ae8f42beee0300c7.md", "format": "md", "derived": true, "tags": ["Covenant"], "excerpt": "Which relation among source paths makes the two expanded points agree?", "content": "# C1040 — Primitive common-Key landing condition\n\n## Question\n\nWhich relation among source paths makes the two expanded points agree?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File60 common1566 comparison\",\n  \"C1032\",\n  \"C1039\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:04:12.331008+00:00\n\n## Results\n\n```json\n{\n  \"generated_radii\": [\n    299,\n    276\n  ],\n  \"primitive_residual\": 0,\n  \"generated_points\": [\n    1566,\n    1566\n  ],\n  \"difference_formula\": \"pointE−pointJ = −25/299 · (13w−12u)\"\n}\n```\n\n## Finding\n\nThe two routes agree exactly when13 times the Joseph radius equals12 times the Levi radius. The radii299/276 and common1566 point are generated from the local source paths.\n\n## Reassessment\n\nMeasure the additional constraint that this cycle imposes.\n\n## Checks\n\n```json\n{\n  \"radii\": true,\n  \"common\": true,\n  \"identity\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:04:12.331604+00:00\n\n## Record provenance\n\nExact record hash: `f96d1504ac6faa43ebfdcedbc85c4f8b127d075b0c0c85da056e5067b9bcb96c`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-12a48221b7fdcdcd", "title": "File 60"}]}