{"id": "c121", "title": "C121 — Both phases of the Conquest 3K+8K refinement", "filename": "490d_C121_Conquest_8K_Phase_Check_20260922.md", "role": "Research action", "step": 121, "sha256": "4832332bf5db598fc1c66c051c70ca8715cbef7f89059c23feaf7bc06f4e3a4c", "bytes": 1625, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C119_C128_529_Conquest_Batch_20260922/C121/490d_C121_Conquest_8K_Phase_Check_20260922.md"], "download": "/sources/4832332bf5db598fc1c66c051c70ca8715cbef7f89059c23feaf7bc06f4e3a4c.md", "format": "md", "derived": false, "tags": [], "excerpt": "C121 — Both phases of the Conquest 3K+8K refinement\n\nAll seven native interior comparisons retain the exact3K+8K decomposition on both components. The generated middle field reverses its BC labels as the reflected Conquest field advances:\n\n| Native SP Creation | Generated8K preimage | Reflected Conquest |\n|---|---|---|", "content": "# C121 — Both phases of the Conquest 3K+8K refinement\n\n**All seven native interior comparisons retain the exact3K+8K decomposition on both components.** The generated middle field reverses its BC labels as the reflected Conquest field advances:\n\n| Native SP Creation | Generated8K preimage | Reflected Conquest |\n|---|---|---|\n| 4421t/4420n BC | 2834t/2833n BC | AD1399t/1400n |\n| 4420t/4419n BC | 2833t/2832n BC | AD1400t/1401n |\n| 4419t/4418n BC | 2832t/2831n BC | AD1401t/1402n |\n| 4418t/4417n BC | 2831t/2830n BC | AD1402t/1403n |\n| 4417t/4416n BC | 2830t/2829n BC | AD1403t/1404n |\n| 4416t/4415n BC | 2829t/2828n BC | AD1404t/1405n |\n| 4415t/4414n BC | 2828t/2827n BC | AD1405t/1406n |\n\nFor example, the first row has same-side difference1587 and cross-axis component sums **2834+1399−1=2833+1400−1=4232**. The full width is5819. Exact quarter-year proof coordinates confirm the same results, with no civil year zero.\n\nThe reflected1406 closing pair instead uses **2827t/2826n BC → AD1406t/1407n** for8K. Its11K origin would be **4414t/4413n BC**, the conditionally generated closing pair. Native **4415t/4414n BC** remains one year too early for exact11K to that target, on both components.\n\nC11 already established the seven native memberships and the compression boundary. C121 checks only their new8K insertion and phases; it does not rerun C11’s whole endpoint campaign. No generated preimage becomes a historical source event by this calculation.\n\n68 checks passed; C120 graph unchanged. **Next:** insert these boundaries into the four retained11+2=13 Creation–Conquest–Flood paths. High sufficient.\n"}