{"id": "c1259", "title": "C1259 — Derive the necessary and sufficient coefficient-five calibration", "filename": "C1259.md", "role": "Research action", "step": 1259, "sha256": "3f77bda56db17cb14e86e947ad592f8b7fc078fd3c7f910c9265130727bdcfaa", "bytes": 1154, "origins": ["C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1259"], "download": "/sources/3f77bda56db17cb14e86e947ad592f8b7fc078fd3c7f910c9265130727bdcfaa.md", "format": "md", "derived": true, "tags": ["Regular"], "excerpt": "When do the row gaps equal5(C+2T) and5C?", "content": "# C1259 — Derive the necessary and sufficient coefficient-five calibration\n\n## Question\n\nWhen do the row gaps equal5(C+2T) and5C?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1254\",\n  \"C1256\",\n  \"Strategy §4.1\"\n]\n```\n\n## Opened utc\n\n2026-09-28T05:46:43.651080+00:00\n\n## Results\n\n```json\n{\n  \"calibration\": {\n    \"path\": \"model/regular_kernel_five_calibration.json\",\n    \"sha256\": \"df161a85a5d0da068398d3c6e22e3232084ff1ded55eb7929261cbd762d6b63a\",\n    \"bytes\": 474\n  },\n  \"ratios\": [\n    \"3/5\",\n    \"13/10\"\n  ]\n}\n```\n\n## Finding\n\nThe fivefoldexpression holds exactly whenT=3u/5 andC=13u/10. These match60 and130 at u100, but the ratios are additional source relations; the row supports alone do not generate them.\n\n## Reassessment\n\nSeparate compatibility ofa commoncoefficient fromthe choice thatcoefficient equalsfive.\n\n## Checks\n\n```json\n{\n  \"ratios\": true,\n  \"sourcevalues\": true,\n  \"reconstruction\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T05:46:43.652027+00:00\n\n## Record provenance\n\nExact record hash: `eca1b4576c3639111eecd6e4283671e4b0a3343ec75c6a6a9d7b0ba981e2d7fa`\n\nSource journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`", "journalDownload": "/sources/6adb632ce171623c2bce60d7ed58ae319ccb379cf76b751c0a477c1742fd348c.json", "evidenceLinks": [{"id": "d-df161a85a5d0da06", "title": "model/regular_kernel_five_calibration.json"}]}