{"id": "c574", "title": "C574 — Generate the common integral Key family", "filename": "C574.md", "role": "Research action", "step": 574, "sha256": "341ef5623795c875395a3295fcb7744efca88f0aa34c0d4ea3983c3364fb8481", "bytes": 1248, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C574"], "download": "/sources/341ef5623795c875395a3295fcb7744efca88f0aa34c0d4ea3983c3364fb8481.md", "format": "md", "derived": true, "tags": ["Calendar Keys"], "excerpt": "Do Noah, Creation and macro scalar seeds share one normal form?", "content": "# C574 — Generate the common integral Key family\n\n## Question\n\nDo Noah, Creation and macro scalar seeds share one normal form?\n\n## Inputs\n\n```json\n{\n  \"multipliers\": [\n    10,\n    14,\n    160\n  ],\n  \"base\": 897\n}\n```\n\n## Sources\n\n```json\n[\n  \"File63 §§6,9; C531 Noah family\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:18:00.227394+00:00\n\n## Results\n\n```json\n{\n  \"n_input_J_P_E\": [\n    [\n      10,\n      8970,\n      9000,\n      9100,\n      9750\n    ],\n    [\n      14,\n      12558,\n      12600,\n      12740,\n      13650\n    ],\n    [\n      160,\n      143520,\n      144000,\n      145600,\n      156000\n    ]\n  ],\n  \"normal_form\": [\n    897,\n    900,\n    910,\n    975\n  ]\n}\n```\n\n## Finding\n\nAll three seeds lie on897n, with J/P/E outputs900n/910n/975n. The newly completed E outputs for File63 are algebraic diagnostics, not additional source-appointed event dates.\n\n## Reassessment\n\nDetermine which gains and calendar volumes are automatic consequences of this normal form.\n\n## Checks\n\n```json\n{\n  \"all_rows\": true,\n  \"inputs\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:18:00.227642+00:00\n\n## Record provenance\n\nExact record hash: `a04287c866c4ec24ae3f3735d7482d0747f2ebebe933a7b766530cf588237156`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}]}