{"id": "c1548", "title": "C1548 — Explain the decimal amplification", "filename": "C1548.md", "role": "Research action", "step": 1548, "sha256": "a397e3a627df0cf06bddc51ef37e209f6348ab420303e29eea4dc0214d8dd37f", "bytes": 976, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1548"], "download": "/sources/a397e3a627df0cf06bddc51ef37e209f6348ab420303e29eea4dc0214d8dd37f.md", "format": "md", "derived": true, "tags": ["Inverse"], "excerpt": "Why does the20-year prefix difference become4030 after reversal?", "content": "# C1548 — Explain the decimal amplification\n\n## Question\n\nWhy does the20-year prefix difference become4030 after reversal?\n\n## Sources\n\n```json\n[]\n```\n\n## Opened utc\n\n2026-09-29T02:37:40.589020+00:00\n\n## Results\n\n```json\n{\n  \"MT\": {\n    \"source\": 7620,\n    \"core\": 762,\n    \"zeros\": 1,\n    \"inverse\": 2670\n  },\n  \"LXX\": {\n    \"source\": 7600,\n    \"core\": 76,\n    \"zeros\": 2,\n    \"inverse\": 6700\n  },\n  \"source_difference\": -20,\n  \"inverse_difference\": 4030\n}\n```\n\n## Finding\n\n7620 reverses to2670 while7600 reverses to6700. The selected row difference crosses the significant-core/trailing-zero register, producing+4030.\n\n## Reassessment\n\nCombine this upper difference with the separately retained lower910 difference.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:37:40.589226+00:00\n\n## Record provenance\n\nExact record hash: `b131338ccfbba9b37702dfe473d14c493a0a38ca836e14ce767ed96e8a76fbfd`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}