{"id": "c566", "title": "C566 — Generate the12250 cumulative variant", "filename": "C566.md", "role": "Research action", "step": 566, "sha256": "a2392e35d98c87630499916afe066e612b4615d7a4c365a9a6b9068c4ee39b80", "bytes": 1167, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C566"], "download": "/sources/a2392e35d98c87630499916afe066e612b4615d7a4c365a9a6b9068c4ee39b80.md", "format": "md", "derived": true, "tags": ["Regular", "Cumulative", "Covenant"], "excerpt": "How do the separate Cainan and Apparent operations combine in this source state?", "content": "# C566 — Generate the12250 cumulative variant\n\n## Question\n\nHow do the separate Cainan and Apparent operations combine in this source state?\n\n## Inputs\n\n```json\n{\n  \"base_head\": 14006,\n  \"Isaac\": 2246,\n  \"cumulative_Cainan\": 460,\n  \"Apparent\": 30\n}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §§17.6–17.7\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:15:45.197212+00:00\n\n## Results\n\n```json\n{\n  \"heads\": [\n    14006,\n    14466,\n    14036,\n    14496\n  ],\n  \"upper_legs\": [\n    11760,\n    12220,\n    11790,\n    12250\n  ],\n  \"combined_factorization\": [\n    25,\n    490\n  ]\n}\n```\n\n## Finding\n\nSeparate source operations+460 and+30 combine additively to a490 increment. The combined upper leg12250 is25×490; numerical summation does not identify the two state changes or regular Cainan130 with cumulative460.\n\n## Reassessment\n\nRecover the full, half and quarter Key family behind clutch magnitudes.\n\n## Checks\n\n```json\n{\n  \"combined\": true,\n  \"factor\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:15:45.197463+00:00\n\n## Record provenance\n\nExact record hash: `438ad6a287f5fc71e7b68f36da4826c41fc4ee9fa9f75d357c5b01c668b60a1c`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-d580afd48d6e12d6", "title": "File 61"}]}