{"id": "c577", "title": "C577 — Connect480483490 through composite factors", "filename": "C577.md", "role": "Research action", "step": 577, "sha256": "2e75affaf9c006fb74a8239cd4160f285337ac35aa43e1f8ff27a4912a93988b", "bytes": 1042, "origins": ["C480–C1634/Research_Cycles/C0532_C0631/journal.json#C577"], "download": "/sources/2e75affaf9c006fb74a8239cd4160f285337ac35aa43e1f8ff27a4912a93988b.md", "format": "md", "derived": true, "tags": [], "excerpt": "Which effective ratios summarize the declared two-stage carrier routes?", "content": "# C577 — Connect480483490 through composite factors\n\n## Question\n\nWhich effective ratios summarize the declared two-stage carrier routes?\n\n## Inputs\n\n```json\n{\n  \"carrier_ratio\": \"161/160\",\n  \"base\": 480\n}\n```\n\n## Sources\n\n```json\n[\n  \"File63 §1.3; C576\"\n]\n```\n\n## Opened utc\n\n2026-09-28T00:18:35.885517+00:00\n\n## Results\n\n```json\n{\n  \"effective_P_E_factors\": [\n    \"49/48\",\n    \"35/32\"\n  ],\n  \"carrier_P_E_outputs\": [\n    483,\n    490,\n    525\n  ]\n}\n```\n\n## Finding\n\nThe source carrier replacement followed by P gives49/48 overall, taking480→483→490. With E it gives35/32 and525. These summarize ordered admitted operations; they do not add universal Keys.\n\n## Reassessment\n\nTest whether one translated cell reconstructs the Creation-to-Temple family.\n\n## Checks\n\n```json\n{\n  \"factors\": true,\n  \"outputs\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T00:18:35.885769+00:00\n\n## Record provenance\n\nExact record hash: `88cd9b5dc99850ab05d347caeb766fe8c88ff162b69afdff3eeba24b96f7d915`\n\nSource journal: `Research_Cycles/C0532_C0631/journal.json`", "journalDownload": "/sources/7a2e1117efc741218b68e2db8bb20eadd33cab34e00384e9b903708031da1d2d.json", "evidenceLinks": [{"id": "d-180803601a2db301", "title": "File 63"}]}