{"id": "c677", "title": "C677 — Generate the120 field from two40 brackets", "filename": "C677.md", "role": "Research action", "step": 677, "sha256": "667265ea0736168525d7df24e3545296d1efb4cca815177906eb671a706b588a", "bytes": 1170, "origins": ["C480–C1634/Research_Cycles/C0632_C0731/journal.json#C677"], "download": "/sources/667265ea0736168525d7df24e3545296d1efb4cca815177906eb671a706b588a.md", "format": "md", "derived": true, "tags": [], "excerpt": "Does the supplied80 translation determine the entire enclosing field?", "content": "# C677 — Generate the120 field from two40 brackets\n\n## Question\n\nDoes the supplied80 translation determine the entire enclosing field?\n\n## Inputs\n\n```json\n{\n  \"lower_bracket\": [\n    2891,\n    2851\n  ],\n  \"translation\": 80\n}\n```\n\n## Sources\n\n```json\n[\n  \"Supplement A §4.4\"\n]\n```\n\n## Opened utc\n\n2026-09-28T01:11:27.519699+00:00\n\n## Results\n\n```json\n{\n  \"upper\": [\n    2971,\n    2931\n  ],\n  \"ordered_field\": [\n    2971,\n    2931,\n    2891,\n    2851\n  ],\n  \"gaps\": [\n    40,\n    40,\n    40\n  ],\n  \"center\": 2911,\n  \"center_shift\": 40\n}\n```\n\n## Finding\n\nTranslating the40 bracket by80 generates three consecutive40 intervals across a120 envelope. Its center2911 is40 above the lower bracket’s center2871. The repeated40s are consequences of the supplied width and translation.\n\n## Reassessment\n\nInsert the separately supplied70-wide Enoch body at this common center.\n\n## Checks\n\n```json\n{\n  \"upper\": true,\n  \"field_gaps\": true,\n  \"center\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T01:11:27.520076+00:00\n\n## Record provenance\n\nExact record hash: `ef0b559f087799e8c71d4e2f7907fc4954945b043c34aa5aa477203bbbf23941`\n\nSource journal: `Research_Cycles/C0632_C0731/journal.json`", "journalDownload": "/sources/f0643e934c6a7443706351fa40040684d915ed0ae25c0f9188a4c4dba12814ff.json"}