{"id": "c1048", "title": "C1048 — Complete42-coordinate array rank", "filename": "C1048.md", "role": "Research action", "step": 1048, "sha256": "b22be9c0e5515c774ad8c6b086a02d1150b9d60399462cb277da906e1ce80cfe", "bytes": 1089, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1048"], "download": "/sources/b22be9c0e5515c774ad8c6b086a02d1150b9d60399462cb277da906e1ce80cfe.md", "format": "md", "derived": true, "tags": ["Covenant"], "excerpt": "What is the information content of seven rows, two phases and three clutch positions?", "content": "# C1048 — Complete42-coordinate array rank\n\n## Question\n\nWhat is the information content of seven rows, two phases and three clutch positions?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"File61 §7\",\n  \"File62 §1\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:06:08.457828+00:00\n\n## Results\n\n```json\n{\n  \"array\": {\n    \"path\": \"model/clutch_array_matrix.json\",\n    \"sha256\": \"02719fa50150a121486da805c237833b19c2895369ac7dc5b6b28e7cd26d1143\",\n    \"bytes\": 5664\n  },\n  \"rank\": 9,\n  \"output_dependency_dimension\": 33\n}\n```\n\n## Finding\n\nThe unrestricted array has nine parameters and33 linear output dependencies. Its42 coordinates therefore are not42 independent numerical observations.\n\n## Reassessment\n\nFind a minimal observation set and test what missing states conceal.\n\n## Checks\n\n```json\n{\n  \"complete_field\": true,\n  \"rank_nine\": true,\n  \"dependencies\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:06:08.479307+00:00\n\n## Record provenance\n\nExact record hash: `d7a116854cddb2ec5c31e61969e49b580e80a60a857a646e9de34fccf17d5fdc`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json", "evidenceLinks": [{"id": "d-02719fa50150a121", "title": "model/clutch_array_matrix.json"}, {"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-d580afd48d6e12d6", "title": "File 61"}]}