ASFM blind 87^3 all-pair validation
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Protocol: grid fixed before evaluation; finite high-coherence nodes selected by |Psi_res| local maxima; all node pairs among selected nodes evaluated.
Grid: 87^3
Detector: 0.995 quantile finite high-coherence local maxima, top_nodes=28, min_sep=0.12
Events per seed: 12000; seeds per pair: 6
Total pairs evaluated: 378; total seed runs: 2268
Bell bound: 2.000000000000; Tsirelson bound: 2.828427124746

Blind all-pair statistics
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Pairs Bell-violating in all seeds: 46/378 (12.169%)
Pairs Bell-violating in at least one seed: 46/378 (12.169%)
Pairs with any Tsirelson exceedance seed: 0/378 (0.000%)
Pairs with mean |S| >= 2.75: 2/378 (0.529%)
Pairs with mean |S| >= 2.75 and mean+3sigma < Tsirelson: 2/378 (0.529%)
Pair-level Pearson corr(mean chi_N_eff, mean chi_N_direct): 0.889861
Seed-level Pearson corr(chi_N_eff, chi_N_direct): 0.889819

Top ten pairs by mean |S|, reported after all-pair evaluation
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87^3 K1-K16: mean |S|=2.758714643, sigma=0.005953661, mean+3sigma=2.776575626, Bell=6/6, Tsirelson=0/6, chi_eff=0.902634006, chi_direct=0.969805650, delta_chi=-0.067171644
87^3 K9-K16: mean |S|=2.754255230, sigma=0.003715831, mean+3sigma=2.765402723, Bell=6/6, Tsirelson=0/6, chi_eff=0.896483344, chi_direct=0.935955478, delta_chi=-0.039472134
87^3 K7-K16: mean |S|=2.731637206, sigma=0.002249249, mean+3sigma=2.738384954, Bell=6/6, Tsirelson=0/6, chi_eff=0.865461510, chi_direct=0.882179431, delta_chi=-0.016717921
87^3 K4-K16: mean |S|=2.727391169, sigma=0.002429036, mean+3sigma=2.734678278, Bell=6/6, Tsirelson=0/6, chi_eff=0.859666876, chi_direct=0.992440417, delta_chi=-0.132773541
87^3 K13-K16: mean |S|=2.717599054, sigma=0.004022261, mean+3sigma=2.729665837, Bell=6/6, Tsirelson=0/6, chi_eff=0.846339525, chi_direct=0.945856654, delta_chi=-0.099517129
87^3 K12-K16: mean |S|=2.662473915, sigma=0.002679380, mean+3sigma=2.670512054, Bell=6/6, Tsirelson=0/6, chi_eff=0.772193332, chi_direct=0.951122305, delta_chi=-0.178928973
87^3 K11-K27: mean |S|=2.597885181, sigma=0.002499305, mean+3sigma=2.605383095, Bell=6/6, Tsirelson=0/6, chi_eff=0.687253155, chi_direct=0.946789740, delta_chi=-0.259536586
87^3 K22-K25: mean |S|=2.554631295, sigma=0.002485577, mean+3sigma=2.562088026, Bell=6/6, Tsirelson=0/6, chi_eff=0.631536550, chi_direct=0.944753648, delta_chi=-0.313217098
87^3 K2-K25: mean |S|=2.545074065, sigma=0.004338050, mean+3sigma=2.558088214, Bell=6/6, Tsirelson=0/6, chi_eff=0.619354419, chi_direct=0.723383852, delta_chi=-0.104029433
87^3 K1-K23: mean |S|=2.541391476, sigma=0.002883012, mean+3sigma=2.550040511, Bell=6/6, Tsirelson=0/6, chi_eff=0.614669391, chi_direct=0.884046399, delta_chi=-0.269377009

Interpretive status
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The blind grid contains Bell-violating finite-resonance pairs under the predefined detector.
At least one pair approaches the near-Tsirelson region while remaining three-sigma Tsirelson-safe.
This report intentionally includes all evaluated pairs and separates global all-pair statistics from the top-pair table to avoid presenting only a post-hoc best window.