{"id": "c136", "title": "C136 — P6 admits a 1059-sided 17K square", "filename": "490d_C136_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 136, "sha256": "3a755724286f5b671da707f7af6e78d567b38067082a51d45fd4990c8759e715", "bytes": 2342, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C136_C155_529_Square_Batch_20260923/C136/490d_C136_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/3a755724286f5b671da707f7af6e78d567b38067082a51d45fd4990c8759e715.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C136 — P6 admits a 1059-sided 17K square\n\n23 September 2026 · Bounded step 1 of 20 (C136–C155).\n\nP6 supports an admitted 1059-sided equal-diagonal 17K square. This is a new comparison of four already sourced nodes, not restoration of its excluded 1058-sided C10 square.\n\n| Station | Paired coordinate | Frozen graph node", "content": "# C136 — P6 admits a 1059-sided 17K square\n\n23 September 2026 · Bounded step 1 of 20 (C136–C155).\n\n**P6 supports an admitted 1059-sided equal-diagonal 17K square.** This is a new comparison of four already sourced nodes, not restoration of its excluded 1058-sided C10 square.\n\n| Station | Paired coordinate | Frozen graph node |\n|---|---|---|\n| cum_LXX_ON_Shem | 6344t/6343n BC | N04_u |\n| cum_LXX_OFF_Flood | 5285t/5284n BC | P6_c |\n| MT_Flood_alternate | AD 2650t/2651n | N04_v |\n| SP_Noah_birth | AD 3709t/3710n | P6_s |\n\nWith rows U=6343, D=5284 (BC) and columns M=2650, X=3709 (reflected AD),\n\n\\[\n\\begin{pmatrix}U+M&U+X\\\\D+M&D+X\\end{pmatrix}\n=\\begin{pmatrix}8993&10052\\\\7934&8993\\end{pmatrix}\n=\\begin{pmatrix}17K&19K+1\\\\15K-1&17K\\end{pmatrix}.\n\\]\n\nBoth side differences are 1059=2K+1. Both diagonals remain exact multiples of 529; the off-diagonal spans have opposite one-year residuals. For example, U→M is 6344+2650−1=6343+2651−1=8993 in the two seasonal components. The source roles are cumulative LXX ON Shem-birth/Noah-death, cumulative LXX OFF Flood, regular alternate MT G3 Flood start, and regular SP G3 companion Noah. Equal lengths do not equate those roles.\n\nThe next step asks whether this boundary choice is uniquely determined by the nearest admitted Flood endpoint.\n\n## Source and scope control\n\nAll numerical bases in this packet stand for paired coordinates: BC base B is (B+1)t/Bn BC; reflected AD base A is AD At/(A+1)n. Thus a cross-Mirror same-season span is B+A, after the civil no-year-zero subtraction. AD stations are reflected source events, not historical AD occurrences. K=529 throughout.\n\nRegular Gears remain restricted to Noah/Shem/Flood. Creation and Conquest are fixed source-field selections. C133–C135 corrections remain controlling. The C127 graph and canonical controls are frozen; source-field admission is distinguished from an existing graph node and from a generated comparison coordinate. No wider N01/N03 expansion or missing N03 Shem join is repaired. Original Reports 01–10 remain previously verified references; interrupted original Reports 11–25 remain unestablished. Check counts are computational assertions, not independent historical witnesses.\n\nEvidence: `CERTIFICATE.json`; **26 passing assertions** in `RESULTS.json`. The assertion list identifies the actual tests.\n"}