{"id":"1023.17.5.a","row":1336,"stored":{"file":"master_catalog.json","row":1336,"construction":null,"columns_sha256":null},"parameters":{"n":1023,"k":17,"d":5,"N":37,"r":20,"level":3},"gate":{"string":"0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16","human":"T0\u00b7T1\u00b7T2\u00b7T3\u00b7T4\u00b7T5\u00b7T6\u00b7T7\u00b7T8\u00b7T9\u00b7T10\u00b7T11\u00b7T12\u00b7T13\u00b7T14\u00b7T15\u00b7T16","monomials":[[0],[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16]],"sk_key":[[0],[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16]],"sk_fingerprint":"54780f2effb2fd97","sk_canonical_frame":true,"relabelled_into_canonical_frame":false},"circuit":{"columns":[[0,2,4,5,8,9,11,16,17,27],[1,3,5,8,9,13,14,15,16,18,30],[1,3,6,7,10,12,13,14,16,17,18,27,28,29,30],[1,4,7,8,13,14,15,19,33],[1,2,5,6,7,8,9,11,15,17,19,27,29,31,33],[5,6,7,11,12,14,18,19,30,31,32,33],[0,6,9,10,11,13,15,16,17,18,19,27,28,30,32,33],[2,3,5,14,15,20,36],[0,1,2,3,5,6,7,11,12,14,17,20,27,30,33,36],[0,1,3,6,12,14,18,20,30,32,34,36],[0,2,3,4,6,10,12,14,16,17,18,20,27,28,29,32,33,34,36],[2,6,9,10,11,12,13,15,19,20,33,34,35,36],[1,2,6,7,8,9,10,14,16,17,19,20,27,29,30,31,34,35,36],[0,1,3,4,5,6,10,12,13,14,16,18,19,20,30,31,33,35,36],[2,3,5,8,12,16,17,18,19,20,27,28,35,36],[0,1,5,8,9,10,11,14,15,16,21,29,32],[0,3,4,5,6,7,9,12,13,14,17,21,27,29,31,32,35],[0,3,4,6,11,12,14,15,16,18,21,29,30,32,33,36],[1,2,4,6,8,11,12,13,14,15,16,17,18,21,27,28,30,31,32,33,35,36],[0,6,10,12,16,19,21,27,29,30,32,33,35],[1,3,4,6,7,11,14,15,16,17,19,21,30,32,33],[0,1,5,6,8,11,12,14,18,19,21,27,29,31,35,36],[0,2,3,5,8,11,12,16,17,18,19,21,28,29,31,36],[1,2,3,4,5,8,10,13,14,15,16,20,21,27,28,29,30,31,32,36],[1,4,8,9,11,14,15,16,17,20,21,28,29,32,33,35,36],[0,3,8,15,18,20,21,27,28,29,31,33,34],[4,5,6,7,8,9,12,13,16,17,18,20,21,30,34,35],[1,2,5,7,8,13,15,16,19,20,21,28,29,31,32,33,34,36],[0,1,3,6,7,9,10,11,13,14,15,17,19,20,21,27,28,30,31,32,34,35,36],[0,3,6,7,8,9,10,11,12,15,16,18,19,20,21,28,29,30,32],[0,4,5,6,10,11,14,16,17,18,19,20,21,27,29,32,33,35],[1,3,8,9,10,15,16,22,32,35],[3,4,5,6,9,11,12,14,16,17,22,30,35],[0,1,3,4,8,9,11,13,18,22,28,30,31,32,34,35],[2,3,4,5,7,9,11,13,14,16,17,18,22,29,31,34,35],[1,4,5,6,7,8,9,10,11,13,15,19,22,29,33,35,36],[0,6,7,8,9,12,16,17,19,22,30,31,32,33,35,36],[0,1,3,4,5,7,8,11,12,14,18,19,22,28,29,30,32,33,34,35,36],[0,2,3,4,6,8,11,12,13,14,17,18,19,22,29,31,33,34,35,36],[2,6,8,11,13,20,22,28,30,31,32,33,35,36],[6,7,8,9,10,13,14,16,17,20,22,28,30,31,35,36],[3,4,9,10,12,13,14,15,18,20,22,33,35,36],[0,3,6,10,13,17,18,20,22,28,29,32,35,36],[1,2,6,9,10,11,12,15,16,19,20,22,28,29,30,31,34],[0,1,7,8,12,13,15,16,17,19,20,22,28,30,32,33,34],[1,6,8,9,11,12,18,19,20,22,29,31,34],[1,4,6,11,13,15,16,17,18,19,20,22,28,29,32,33,34],[1,3,6,7,9,12,13,14,15,16,21,22,29,30,31,33,34,35],[0,1,2,4,6,8,11,12,15,16,17,21,22,29,32,33,34],[0,1,3,7,9,11,13,15,16,18,21,22,28,29,35,36],[0,1,6,7,8,10,11,12,14,17,18,21,22,30,31,32,36],[1,6,7,13,14,15,19,21,22,27,31,32,34,36],[1,2,3,4,9,11,13,14,15,16,17,19,21,22,27,29,30,31,34,35,36],[0,1,3,4,6,7,9,13,14,15,16,18,19,21,22,27,28,30,31,33],[1,4,6,7,10,12,13,14,16,17,18,19,21,22,27,31,32,33,35],[0,2,4,5,7,9,10,12,13,15,20,21,22,27,29,30,31,34,35,36],[1,2,3,4,6,7,9,10,11,14,16,17,20,21,22,27,29,30,32,33,34,36],[0,3,4,5,7,8,10,11,12,15,16,18,20,21,22,27,28,29,32,33,34,35],[0,1,2,8,11,12,13,14,15,16,17,18,20,21,22,27,31,34],[0,1,2,6,8,9,11,12,13,16,19,20,21,22,31,32,33,35],[0,2,3,5,6,9,13,15,16,17,19,20,21,22,29,31],[0,1,4,9,11,14,16,18,19,20,21,22,28,30,31,32,35,36],[2,3,5,6,7,8,9,10,11,14,17,18,19,20,21,22,30,31,33,36],[0,1,2,4,9,11,12,14,23,28,31,35],[3,4,10,11,13,14,16,17,23,27,28,29,31,32,33,35],[1,2,3,4,7,8,9,10,18,23,28,31,33],[2,6,8,10,11,13,15,17,18,23,27,31,32],[0,2,4,5,8,10,15,19,23,27,28,30,33,34,35],[0,1,3,4,5,6,9,12,14,15,17,19,23,28,30,31,32,34,35],[2,5,6,7,9,15,16,18,19,23,27,28,30,31,32,34],[0,1,2,3,4,5,6,8,11,14,17,18,19,23,29,30,33,34],[0,2,4,7,8,10,11,14,16,20,23,28,29,31,36],[2,3,5,6,11,13,14,15,16,17,20,23,27,28,30,31,32,36],[0,4,6,8,9,13,14,18,20,23,28,29,31,32,33,34,35,36],[0,2,3,4,5,6,9,11,12,14,16,17,18,20,23,27,29,30,31,33,34,35,36],[0,2,3,6,8,10,11,16,19,20,23,27,28,29,30,33,35,36],[0,2,4,5,6,7,8,11,14,15,17,19,20,23,28,29,31,32,33,35,36],[0,4,6,7,8,11,12,13,14,16,18,19,20,23,27,28,29,30,31,34,36],[2,3,4,5,7,8,13,16,17,18,19,20,23,32,34,36],[0,4,5,6,11,14,21,23,28,29,32,33,34,35,36],[0,4,7,11,14,15,16,17,21,23,27,28,31,34,36],[3,5,7,8,13,14,15,16,18,21,23,28,29,32,33,34],[0,2,3,4,7,8,10,11,12,13,14,15,16,17,18,21,23,27,29,31,34,35],[0,1,5,7,8,10,11,13,15,19,21,23,28,29,31,32,36],[1,10,11,14,17,19,21,23,27,28,29,31,33,35,36],[1,5,9,10,11,12,14,18,19,21,23,28,29,35],[1,2,4,6,8,9,13,16,17,18,19,21,23,27,32,33],[1,6,7,8,10,12,13,15,16,20,21,23,27,30,31,32,33,34],[2,4,6,7,9,10,13,15,16,17,20,21,23,29,33,34,35],[1,2,4,6,8,9,10,11,13,14,16,18,20,21,23,27,30,31,33,35,36],[0,2,4,7,13,14,15,17,18,20,21,23,28,32,33,36],[1,3,5,6,7,8,9,10,11,14,15,16,19,20,21,23,27,30,32,34],[0,2,3,4,5,7,8,10,11,12,13,15,17,19,20,21,23,34,35],[1,2,5,8,9,10,11,14,18,19,20,21,23,27,30,31,32,35,36],[2,5,7,8,13,15,17,18,19,20,21,23,28,29,31,36],[0,1,2,6,10,11,15,22,23,27,28,30,31,32,33,34,36],[0,1,2,3,10,11,13,14,17,22,23,27,28,29,31,32,34,36],[0,2,4,5,6,7,9,10,11,12,15,18,22,23,27,30,32,35,36],[3,5,6,9,13,14,15,16,17,18,22,23,27,28,32,33,35,36],[0,1,2,3,9,11,12,15,16,19,22,23,28,29],[1,2,8,9,11,12,17,19,22,23,28,29,30,31,33],[0,2,5,6,7,9,12,14,15,18,19,22,23,29,32,33,34,35],[0,3,4,5,8,9,10,11,14,15,17,18,19,22,23,28,30,31,32,34,35],[0,1,2,5,7,8,10,12,13,14,15,20,22,23,27,29,32,34,35],[0,3,4,9,10,15,16,17,20,22,23,27,32,34,35],[3,4,6,10,12,15,16,18,20,22,23,27,28,29,31,33,34],[0,1,4,5,8,9,11,12,13,14,16,17,18,20,22,23,27,29,31,33,34],[0,2,4,10,11,12,13,14,16,19,20,22,23,30,31,33,34,36],[1,3,5,6,7,9,10,11,13,14,16,17,19,20,22,23,30,33,34,36],[1,4,5,7,8,9,10,14,16,18,19,20,22,23,28,30,31,34,35,36],[3,4,7,8,11,14,15,17,18,19,20,22,23,29,30,34,35,36],[1,6,7,10,13,16,21,22,23,27,28,29,31,33,34],[0,2,5,6,9,12,13,14,16,17,21,22,23,27,28,30,34,35],[5,9,14,15,18,21,22,23,27,29,33,35,36],[1,4,6,11,16,17,18,21,22,23,27,28,29,30,31,36],[1,3,4,5,6,11,19,21,22,23,27,28,32,35,36],[2,3,4,7,8,9,10,11,12,13,16,17,19,21,22,23,27,28,30,32,33,36],[6,7,10,12,13,15,18,19,21,22,23,27,34],[0,1,4,5,6,7,8,9,10,11,12,17,18,19,21,22,23,27,28,29,30,33,34,35],[0,1,4,8,9,10,12,13,15,16,20,21,22,23,28,31,34,35,36],[1,6,9,12,13,14,17,20,21,22,23,28,29,34,36],[2,3,4,5,7,9,13,16,18,20,21,22,23,32,34],[3,4,5,8,9,11,12,13,14,16,17,18,20,21,22,23,28,31,32,34,35],[0,4,6,10,19,20,21,22,23,28,29,32,33,34,35],[0,6,13,15,17,19,20,21,22,23,28,29,32,33,34],[1,2,5,7,8,9,11,14,15,16,18,19,20,21,22,23,29,32,33,34,36],[0,1,5,6,8,9,12,13,14,15,17,18,19,20,21,22,23,28,32,33,34,35,36],[1,5,9,11,13,15,24,28,34],[0,2,3,5,7,9,11,12,13,16,17,24,27,28,31,34],[2,3,6,7,8,9,10,12,14,16,18,24,28,30,32,34,35,36],[1,2,4,7,8,9,11,12,14,16,17,18,24,27,29,30,31,32,34,35,36],[2,4,5,6,9,14,16,19,24,31,34,36],[1,3,4,5,7,8,9,12,13,15,16,17,19,24,27,29,31,34,36],[1,6,7,8,10,13,14,15,16,18,19,24,30,34,35],[0,3,4,6,7,11,15,17,18,19,24,27,28,30,34,35],[1,4,5,6,7,10,11,12,14,16,20,24,27,28,33,36],[0,1,3,7,8,9,10,11,12,14,16,17,20,24,28,30,31,36],[0,4,6,9,12,14,15,16,18,20,24,27,28,30,33,34,35],[0,2,3,4,5,6,7,8,10,11,14,17,18,20,24,29,31,34,35],[1,2,3,4,6,8,9,11,13,19,20,24,27,31,33,34,35],[1,2,5,6,8,11,14,16,17,19,20,24,29,30,31,34,35],[0,2,5,7,8,9,10,11,12,13,14,15,16,18,19,20,24,27,30,32,33,36],[3,6,8,16,17,18,19,20,24,28,32,36],[0,1,2,4,5,6,8,11,12,14,21,24,29,31,34],[0,1,2,4,8,9,10,11,12,13,14,16,17,21,24,27,29,31,34,35],[0,3,6,7,12,14,18,21,24,29,30,31,32,33,34,35],[2,3,4,5,6,9,11,13,14,15,17,18,21,24,27,28,30,31,32,33,34],[0,4,6,7,8,9,11,15,16,19,21,24,27,28,29,30,34,35,36],[4,5,6,7,10,11,14,15,16,17,19,21,24,28,30,31,34,36],[0,1,2,4,5,11,12,14,15,18,19,21,24,27,28,29,31,33,34,36],[0,1,6,7,8,9,16,17,18,19,21,24,29,33,34,35,36],[1,2,4,7,8,10,14,16,20,21,24,28,29,30,33,36],[12,13,14,15,16,17,20,21,24,27,28,29,35,36],[0,2,5,6,8,9,10,11,12,13,18,20,21,24,28,29,34,35,36],[1,2,5,9,10,12,16,17,18,20,21,24,27,30,33,34,36],[1,3,6,7,11,19,20,21,24,27,29,31,33,34],[0,2,3,4,10,11,12,14,15,16,17,19,20,21,24,30,34,35],[0,5,6,11,13,18,19,20,21,24,27,29,30,32,35],[0,1,5,6,13,14,17,18,19,20,21,24,28,29,31,32,33],[3,6,8,14,22,24,27,28,29,30,35,36],[7,8,9,10,17,22,24,27,28,29,31,32,35,36],[0,2,3,4,7,8,9,12,13,14,15,16,18,22,24,27,29,31,32,34],[7,8,11,13,17,18,22,24,27,28,30,34],[2,4,5,6,13,14,19,22,24,27,30,31,32,35,36],[0,2,3,4,5,6,7,8,9,10,14,16,17,19,22,24,27,29,31,35,36],[0,3,4,5,6,7,11,15,18,19,22,24,27,28,31,32,34],[0,2,5,7,8,9,12,13,17,18,19,22,24,27,30,31,34],[1,3,4,5,6,7,8,11,12,14,15,20,22,24,29,31,34,35],[2,6,7,10,11,16,17,20,22,24,29,32,33,34,35],[1,5,6,11,12,18,20,22,24,28,29,30,34,36],[0,3,7,8,12,14,17,18,20,22,24,30,31,32,33,34,36],[2,3,4,5,8,9,10,13,14,19,20,22,24,28,32],[0,1,6,8,9,12,14,15,17,19,20,22,24,28,29,33],[2,3,4,5,6,7,10,11,12,13,14,15,16,18,19,20,22,24,30,35,36],[1,2,4,6,10,12,14,15,17,18,19,20,22,24,28,30,32,33,35,36],[1,2,3,4,5,6,7,11,16,21,22,24,27,33,34,35,36],[0,3,4,6,7,11,12,13,14,15,16,17,21,22,24,27,30,32,33,34,36],[0,1,3,4,5,6,9,10,11,14,16,18,21,22,24,27,28,30,31,32,36],[0,3,7,9,13,17,18,21,22,24,27,29,31,35,36],[1,4,5,8,9,12,16,19,21,22,24,28,29,30,31,32,33,34,36],[2,4,6,9,15,17,19,21,22,24,28,33,34,35,36],[0,1,2,3,5,6,7,8,9,10,11,18,19,21,22,24,29,31,32,35,36],[2,3,4,6,9,17,18,19,21,22,24,28,29,30,36],[0,2,3,4,5,6,9,11,12,13,14,16,20,21,22,24,27,33,35],[2,3,5,7,8,11,12,17,20,21,22,24,27,32],[0,2,4,5,7,8,9,10,11,14,18,20,21,22,24,27,28,30,31],[0,4,5,7,12,13,15,17,18,20,21,22,24,27,29,30,31,32,33,35],[0,1,3,6,9,10,11,12,13,14,15,16,19,20,21,22,24,28,29,30,31,32,33,34,35],[0,1,3,4,6,7,10,11,12,13,14,15,16,17,19,20,21,22,24,28,30,34],[0,1,3,4,6,7,8,12,15,16,18,19,20,21,22,24,29,31,34],[1,2,3,4,7,8,9,10,11,17,18,19,20,21,22,24,28,29,32,33,34,35],[2,3,8,10,11,12,13,15,23,24,27,29,31,32,33,34,35,36],[0,3,4,5,7,12,16,17,23,24,34,35,36],[0,6,9,10,11,12,13,14,15,18,23,24,27,29,31,34,35],[0,5,8,9,10,11,14,15,17,18,23,24,28,29,32,33,34,35],[1,3,5,6,7,8,9,11,13,14,16,19,23,24,28,29,30,31,32,33,35],[1,2,3,4,8,9,10,13,15,16,17,19,23,24,27,28,29,30,31,35],[0,1,2,3,4,5,6,7,9,12,13,14,18,19,23,24,28,29,30,32,35,36],[1,2,3,4,6,7,9,13,16,17,18,19,23,24,27,30,33,35,36],[1,4,5,6,10,11,12,15,20,23,24,31,32],[0,4,5,9,13,15,17,20,23,24,27,29,30],[1,4,5,6,10,11,13,15,16,18,20,23,24,31,32,33,34,36],[2,5,6,7,9,10,11,17,18,20,23,24,27,28,30,33,34,36],[1,2,3,5,6,8,10,12,14,15,16,19,20,23,24,27,28,30,31,32,35,36],[2,3,5,6,9,11,15,17,19,20,23,24,28,31,35,36],[1,2,4,5,8,9,10,11,12,13,15,16,18,19,20,23,24,27,28,30,33,34,35],[0,5,6,7,10,11,12,13,14,16,17,18,19,20,23,24,29,32,33,34,35],[2,3,4,8,9,12,15,16,21,23,24,27,28,31,32,35],[1,2,6,11,15,17,21,23,24,28,29,31,33],[0,10,13,18,21,23,24,27,28,31,35],[1,2,3,7,8,9,13,15,17,18,21,23,24,31,32,33],[1,3,8,9,10,11,12,13,14,19,21,23,24,27,31,32,34,36],[0,4,8,10,17,19,21,23,24,33,34,35,36],[0,1,2,3,6,9,12,15,18,19,21,23,24,27,32,34,36],[0,7,10,12,13,14,16,17,18,19,21,23,24,28,29,31,33,34,35,36],[0,1,4,6,11,12,14,16,20,21,23,24,27,29,30,32,33,34,36],[0,1,2,3,4,5,6,7,12,14,15,16,17,20,21,23,24,33,34,35,36],[0,1,10,11,12,15,16,18,20,21,23,24,27,29,30,32,33,36],[1,3,4,5,6,11,15,17,18,20,21,23,24,28,29,33,35,36],[0,1,2,3,4,5,7,8,9,11,13,19,20,21,23,24,27,28,29,30,32,33,34],[1,4,6,9,14,15,16,17,19,20,21,23,24,28,29,31,33,34,35],[0,1,2,4,5,7,8,10,12,13,15,16,18,19,20,21,23,24,27,28,29,30,31,33],[0,1,2,3,7,14,15,16,17,18,19,20,21,23,24,32,33,35],[2,3,4,5,8,9,10,16,22,23,24,27,31,32,34,36],[1,2,3,6,7,10,11,12,13,14,16,17,22,23,24,27,29,30,32,33,34,36],[1,3,6,8,9,11,16,18,22,23,24,27,28,33],[0,2,3,5,6,10,11,13,14,15,17,18,22,23,24,27,30,31],[4,5,7,11,12,16,19,22,23,24,28,29,30,31,36],[0,1,9,17,19,22,23,24,28,29,31,33,36],[1,2,3,4,7,9,10,11,14,18,19,22,23,24,29,30,31,33,34],[3,4,5,6,7,11,14,15,17,18,19,22,23,24,28,31,34],[5,11,14,20,22,23,24,28,29,30,32,35],[2,5,13,15,16,17,20,22,23,24,28,30,31,32,35],[0,1,3,4,8,9,10,12,13,16,18,20,22,23,24,29,30,31,32,33,35,36],[1,3,6,7,8,9,14,16,17,18,20,22,23,24,28,29,30,32,33,35,36],[1,2,4,6,11,14,15,19,20,22,23,24,27],[0,1,4,8,14,17,19,20,22,23,24,27],[0,2,4,5,8,10,11,13,14,15,18,19,20,22,23,24,27,28,32,33,36],[0,2,5,7,11,12,13,14,15,16,17,18,19,20,22,23,24,27,29,32,33,36],[0,1,2,3,6,7,8,9,12,15,16,21,22,23,24,27,28,29,30,32,34],[1,4,6,7,9,10,11,12,14,16,17,21,22,23,24,27,28,32,33,34,35],[0,3,5,6,7,8,9,11,13,14,18,21,22,23,24,27,29,30,31],[0,5,9,11,12,13,16,17,18,21,22,23,24,27,28,29,31,33,35],[0,1,4,5,7,9,10,12,13,15,16,19,21,22,23,24,27,30,35],[0,1,2,3,5,6,7,9,11,12,17,19,21,22,23,24,27,31,33],[0,2,3,6,7,10,12,16,18,19,21,22,23,24,27,28,30,34,35],[2,6,10,13,16,17,18,19,21,22,23,24,27,29,31,33,34],[1,5,6,7,9,10,12,13,20,21,22,23,24,27,28,30,32,35,36],[0,3,11,13,14,16,17,20,21,22,23,24,27,28,29,30,32,36],[0,3,7,8,10,11,12,13,15,18,20,21,22,23,24,27,30,31,32,35,36],[0,1,2,4,5,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,27,28,30,31,32,36],[2,5,6,10,11,15,19,20,21,22,23,24,27,29,30,35,36],[1,2,3,6,7,8,9,12,13,15,17,19,20,21,22,23,24,27,29,30,31,36],[0,1,2,4,6,8,10,11,12,14,16,18,19,20,21,22,23,24,27,28,29,30,32,35,36],[0,1,2,4,6,7,8,16,17,18,19,20,21,22,23,24,27,30,31,32,36],[0,3,4,5,7,13,14,16,25,27,30,31],[0,3,7,9,12,13,15,16,17,25,30,31,33,35,36],[2,3,4,5,8,12,13,18,25,27,31,34],[0,3,4,6,7,8,9,10,11,12,13,14,16,17,18,25,28,29,31,33,34,35,36],[0,1,4,5,6,7,9,11,13,14,16,19,25,27,28,29,30,32,33,35],[1,7,8,11,12,14,15,17,19,25,28,30,31,32,36],[1,2,3,5,8,13,14,16,18,19,25,27,28,29,31,33,34,35],[1,3,7,9,10,11,14,16,17,18,19,25,29,34,36],[1,3,5,6,7,14,20,25,27,29,30,32,34],[2,3,5,8,16,17,20,25,29,32,34,35,36],[1,5,9,13,14,18,20,25,27,29,34],[0,4,5,8,9,10,11,12,13,15,17,18,20,25,28,30,34,35,36],[1,3,4,6,8,10,12,14,15,19,20,25,27,28,30,31,33],[0,2,3,4,6,7,8,10,12,13,14,15,17,19,20,25,28,29,33,35,36],[1,3,6,7,8,10,11,13,15,16,18,19,20,25,27,28,33],[3,4,7,8,12,17,18,19,20,25,30,31,33,35,36],[0,3,4,7,8,9,10,11,12,14,15,21,25,29,30,31,32,36],[1,2,6,8,9,11,12,13,15,17,21,25,27,29,30,32,33],[2,3,6,9,11,12,13,14,18,21,25,29,31,32,33,34],[1,2,6,9,15,16,17,18,21,25,27,28,32,34,36],[0,1,5,8,9,10,11,13,14,15,19,21,25,27,28,33,36],[0,2,3,4,5,7,9,11,13,14,15,16,17,19,21,25,28,29],[1,2,3,5,7,12,16,18,19,21,25,27,28,30,31,32,34],[0,2,5,6,7,8,11,15,16,17,18,19,21,25,30,31,32,33,34,36],[0,1,3,4,5,6,7,8,10,12,16,20,21,25,27,28,31,34,36],[1,4,6,7,9,13,14,15,17,20,21,25,28,30,34],[0,1,5,6,8,9,14,15,18,20,21,25,27,28,30,31,32,33,34],[0,1,2,3,4,7,11,13,15,17,18,20,21,25,29,32,33,34,36],[0,1,3,4,5,7,9,11,12,13,15,16,19,20,21,25,29,30,32,33,35,36],[0,1,4,6,7,10,11,13,16,17,19,20,21,25,27,32,33,35],[0,1,3,4,5,6,9,10,12,13,16,18,19,20,21,25,29,31,32,35],[1,2,6,7,10,11,12,13,17,18,19,20,21,25,27,28,29,30,31,32,35,36],[0,1,4,5,6,7,8,9,13,14,15,22,25,27,30,32,34],[2,7,8,9,10,13,14,15,16,17,22,25,27,33,34,35,36],[0,2,3,6,8,10,11,12,13,14,15,16,18,22,25,27,28,31,32,34],[0,1,2,3,5,6,7,8,10,13,14,16,17,18,22,25,27,29,30,31,33,34,35,36],[0,1,4,6,7,13,16,19,22,25,27,28,30,31,32,33,34,35,36],[0,2,5,6,7,8,10,14,16,17,19,22,25,27,28,29,34],[0,2,4,5,10,13,14,16,18,19,22,25,27,31,33,34,35,36],[1,2,4,6,7,8,10,11,12,15,17,18,19,22,25,27,28,30,32,34],[1,6,7,8,10,11,13,15,20,22,25,27,28,29,33],[0,1,6,9,11,12,13,17,20,22,25,27,28,29,32,33,35,36],[0,4,5,14,15,18,20,22,25,27,29,30,31,32,33,34],[0,2,5,6,8,9,11,14,15,16,17,18,20,22,25,27,28,30,31,33,34,35,36],[3,4,8,12,13,14,15,16,19,20,22,25,27,29,31,34,36],[3,4,6,7,8,9,10,17,19,20,22,25,27,32,34,35],[0,1,4,5,7,9,10,14,15,18,19,20,22,25,27,28,29,30,31,36],[1,2,5,7,10,11,13,15,17,18,19,20,22,25,27,29,30,32,35],[4,5,9,10,13,14,15,21,22,25,29,31,33,36],[3,5,7,10,12,14,16,17,21,22,25,29,30,32],[1,2,3,4,6,7,10,11,18,21,22,25,28,29,30],[0,1,4,7,9,13,17,18,21,22,25,31,32,33,36],[5,6,7,8,9,10,11,12,16,19,21,22,25,27,28,29,30],[0,3,4,5,10,11,14,15,16,17,19,21,22,25,27,28,32,33,36],[1,2,4,6,8,9,10,11,13,15,18,19,21,22,25,27,29,32,33,36],[1,3,4,6,13,14,15,16,17,18,19,21,22,25,27,28,29,30],[4,5,9,14,20,21,22,25,27,32,34,36],[1,2,3,4,6,8,9,13,14,17,20,21,22,25,27,31,34],[0,1,4,7,8,9,11,12,14,15,16,18,20,21,22,25,27,28,30,31,33],[3,5,9,10,13,14,17,18,20,21,22,25,27,29,30,32,33,36],[1,3,4,10,13,16,19,20,21,22,25,28,30,31,32,33,35],[0,2,4,5,10,13,14,17,19,20,21,22,25,28,29,30,31,33,35,36],[0,5,6,7,8,9,10,13,14,15,16,18,19,20,21,22,25,31,32,34,35,36],[0,1,3,4,8,9,11,12,13,16,17,18,19,20,21,22,25,28,31,34,35],[0,1,4,6,8,11,13,14,16,23,25,28,29,30,33],[0,3,4,6,9,10,15,16,17,23,25,27,28,30,32,33,35,36],[0,2,4,5,6,9,10,15,16,18,23,25,28,29,30,34,35],[1,3,5,7,8,10,12,13,14,15,17,18,23,25,27,29,30,32,34,36],[0,3,5,7,8,10,11,12,14,16,19,23,25,27,32,34,35],[1,5,6,7,8,9,12,14,15,17,19,23,25,31,34,36],[0,1,2,4,6,7,11,13,14,15,18,19,23,25,27,31,33],[0,3,6,9,11,12,13,14,15,17,18,19,23,25,28,29,32,33,35,36],[1,2,3,5,7,9,10,11,12,15,16,20,23,25,28,29,30,31,32,33,34,35],[1,4,6,9,13,14,15,17,20,23,25,27,28,31,34,36],[0,2,6,7,9,18,20,23,25,28,29,30,31,34],[2,3,5,6,7,9,13,14,15,17,18,20,23,25,27,29,31,32,33,34,35,36],[1,2,3,5,7,8,10,12,13,16,19,20,23,25,27,31,34,35],[0,1,4,11,13,16,17,19,20,23,25,30,32,33,34,36],[0,2,3,4,7,8,9,12,13,14,15,16,18,19,20,23,25,27,33,34],[0,2,4,5,6,7,9,12,13,14,17,18,19,20,23,25,28,29,30,31,32,34,35,36],[1,2,4,5,8,9,11,16,21,23,25,27,28,30,31,32,34],[0,1,4,6,7,9,12,14,16,17,21,23,25,28,29,30,34,36],[6,12,18,21,23,25,27,28,30,31,32,35,36],[4,5,6,8,10,12,14,15,16,17,18,21,23,25,30,35],[2,3,4,5,8,10,16,19,21,23,25,27,29,30,31,33],[3,4,7,8,10,11,12,13,17,19,21,23,25,29,30,31,32,33,36],[1,4,10,14,16,18,19,21,23,25,27,29,30,32,33,34,35,36],[0,1,5,6,13,14,15,16,17,18,19,21,23,25,28,30,33,34,35],[1,3,4,5,6,7,9,10,12,16,20,21,23,25,31,35],[0,3,5,6,7,10,11,12,14,15,17,20,21,23,25,27,29,30,32,33,35,36],[0,6,7,9,10,11,12,13,14,16,18,20,21,23,25,31,32,36],[0,1,2,11,13,16,17,18,20,21,23,25,27,28,30,33],[1,3,8,9,10,15,16,19,20,21,23,25,28,29,31,32,33],[3,4,6,10,11,13,16,17,19,20,21,23,25,27,28,29,30,31,36],[0,3,5,6,8,10,12,13,15,18,19,20,21,23,25,28,29,32,33,35,36],[1,2,3,5,6,7,9,15,16,17,18,19,20,21,23,25,27,30,35],[0,1,6,8,9,11,12,13,15,16,22,23,25,27,28,29,31,32,36],[1,2,3,9,15,17,22,23,25,27,28,30,31,32,35],[1,2,3,4,6,8,9,11,12,16,18,22,23,25,27,29,32,33,35,36],[1,2,6,7,9,10,11,12,13,15,16,17,18,22,23,25,27,28,29,30,32,33],[0,1,4,6,7,9,10,14,19,22,23,25,29,30,31,32,33,34,35],[0,1,2,3,4,6,7,9,10,11,12,17,19,22,23,25,29,32,33,34,36],[1,2,4,7,10,11,12,13,15,16,18,19,22,23,25,28,29,30,31,34],[0,1,2,3,6,11,12,13,14,17,18,19,22,23,25,34,35,36],[2,3,4,6,7,9,13,20,22,23,25,27,29,30,31,33,34,35,36],[0,1,2,5,6,11,15,17,20,22,23,25,27,30,31,34],[2,3,7,8,12,13,14,15,16,18,20,22,23,25,27,28,29,30,32,36],[1,5,6,7,8,9,10,14,15,17,18,20,22,23,25,27,29,30,32,33,35],[1,2,4,5,7,14,16,19,20,22,23,25,28,29,31,34,35],[2,3,6,8,9,11,15,17,19,20,22,23,25,28,29,33,34,36],[1,2,3,4,5,7,8,11,14,15,16,18,19,20,22,23,25,29,31,33],[0,4,7,9,10,11,12,15,16,17,18,19,20,22,23,25,28,35,36],[0,2,6,7,8,9,13,14,21,22,23,25,28,30,31,36],[0,1,2,5,6,10,11,13,14,15,16,17,21,22,23,25,28,29],[3,7,8,9,10,12,13,16,18,21,22,23,25,30,35],[0,1,2,3,4,5,6,7,10,13,16,17,18,21,22,23,25,28,31,35,36],[0,2,5,7,10,13,15,16,19,21,22,23,25,30,31,33,34],[1,2,6,9,11,14,16,17,19,21,22,23,25,31,33,34,36],[4,5,7,9,11,13,15,16,18,19,21,22,23,25,28,30,31,32,33,34,35,36],[1,2,7,11,12,14,15,17,18,19,21,22,23,25,29,31,32,33,34,35],[0,1,3,5,6,12,16,20,21,22,23,25,27,28,30,32,33,34,35,36],[0,1,2,3,4,5,10,11,16,17,20,21,22,23,25,27,28,29,30,31,32,34,35],[0,1,3,5,6,8,9,10,12,13,16,18,20,21,22,23,25,27,30,31,33],[1,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,25,27,28,30,36],[0,4,5,6,7,11,14,19,20,21,22,23,25,27,30,32,34],[2,5,6,7,8,10,12,13,16,17,19,20,21,22,23,25,27,30,32,33,34,36],[0,3,5,7,8,10,12,13,16,18,19,20,21,22,23,25,27,28,30,32,35,36],[1,2,4,7,8,9,11,13,17,18,19,20,21,22,23,25,27,29,30,32,33,35],[0,1,4,7,9,11,12,13,14,24,25,27,28,29,31,34,35,36],[0,3,4,8,9,12,13,17,24,25,28,29,33,34],[1,4,6,7,8,10,12,13,16,18,24,25,27,28,29,30,31,32],[0,2,3,7,13,14,15,17,18,24,25,30,32,33,35,36],[0,2,3,4,8,11,12,13,14,19,24,25,27,28,31,32,34],[1,2,4,6,7,8,12,14,17,19,24,25,28,29,31,32,33,34,35,36],[2,10,11,13,14,18,19,24,25,27,28,30,32,35,36],[1,3,4,11,12,14,15,16,17,18,19,24,25,30,32,33],[2,3,4,5,10,11,13,14,16,20,24,25,28,32,33,34,35,36],[6,9,10,12,13,15,16,17,20,24,25,27,28,30,31,32,33,34],[4,5,12,14,18,20,24,25,28,30,32,33,34],[0,3,4,7,9,10,12,16,17,18,20,24,25,27,29,31,32,33,34,35,36],[3,6,12,13,14,15,16,19,20,24,25,28,29,33,35],[0,2,4,5,6,8,9,11,14,16,17,19,20,24,25,27,28,30,33,36],[2,3,4,9,10,12,15,16,18,19,20,24,25,28,29,30,31,32,33,36],[2,4,5,6,7,8,12,13,15,16,17,18,19,20,24,25,27,29,31,32,33,35],[0,2,6,7,8,11,12,13,14,15,16,21,24,25,34,35],[5,7,9,10,16,17,21,24,25,27,33,34,35,36],[2,4,6,7,9,14,16,18,21,24,25,30,32,33],[2,5,6,8,13,16,17,18,21,24,25,27,28,29,30,32,36],[0,1,3,4,5,7,14,15,16,19,21,24,25,27,29,30,32,34,35,36],[0,1,2,3,4,7,9,10,11,12,14,17,19,21,24,25,30,31,32,33,34,35],[1,4,5,6,7,8,13,18,19,21,24,25,27,29,31,32,33,36],[0,1,8,9,13,16,17,18,19,21,24,25,28,29,32],[0,1,3,4,6,8,10,20,21,24,25,28,29,30,32,33,34,35],[3,6,7,8,11,13,14,16,17,20,21,24,25,27,28,29,32,33,34,35,36],[0,1,2,8,10,11,14,15,16,18,20,21,24,25,28,29,32,34],[0,6,8,10,11,12,13,17,18,20,21,24,25,27,30,32,34,36],[0,1,2,3,4,6,7,8,9,13,15,19,20,21,24,25,27,28,33,36],[0,2,3,9,10,11,13,15,16,17,19,20,21,24,25,28,29,30,31,33],[0,1,3,4,6,7,8,12,13,18,19,20,21,24,25,27,28,30,31,32,35,36],[2,3,4,6,7,13,15,17,18,19,20,21,24,25,32,35],[0,3,4,5,7,8,10,12,15,22,24,25,28,30,34,35],[2,4,5,6,9,11,16,17,22,24,25,28,31,32,33,34,36],[0,1,6,7,8,10,12,15,16,18,22,24,25,31,32,34,36],[0,1,3,4,6,7,9,10,12,15,17,18,22,24,25,28,29,30,33,34,35],[0,2,3,4,6,8,9,10,11,12,14,16,19,22,24,25,28,30,34],[0,4,6,7,8,13,15,16,17,19,22,24,25,28,29,32,33,34,35,36],[0,1,2,3,4,5,6,8,10,15,16,18,19,22,24,25,34,35,36],[1,2,5,8,9,10,13,14,16,17,18,19,22,24,25,28,30,32,33,34],[2,4,5,6,8,10,11,13,14,15,16,20,22,24,25,27,29,32,34,35],[0,1,2,3,6,8,13,14,15,16,17,20,22,24,25,27,29,31,34,36],[0,1,6,9,10,11,12,16,18,20,22,24,25,27,28,29,30,31,32,36],[0,2,3,5,7,9,10,11,16,17,18,20,22,24,25,27,30,35],[1,3,5,6,11,12,13,15,19,20,22,24,25,27,29,32,35],[4,8,10,12,14,16,17,19,20,22,24,25,27,36],[0,2,8,12,16,18,19,20,22,24,25,27,28,29,30,34,36],[1,3,5,7,13,14,15,16,17,18,19,20,22,24,25,27,29,30,32,34,35],[2,3,10,11,13,15,16,21,22,24,25,27,29,33,35,36],[1,2,3,5,8,10,15,16,17,21,22,24,25,27,29,30,32,35],[1,2,5,11,12,14,18,21,22,24,25,27,28,29,30,31,32,36],[0,4,6,7,8,10,11,13,14,17,18,21,22,24,25,27,31,33],[3,4,10,11,12,14,19,21,22,24,25,29,30,33,35,36],[0,1,3,4,5,6,10,12,16,17,19,21,22,24,25,31,32,35],[1,3,5,6,9,12,13,14,16,18,19,21,22,24,25,28,29,36],[2,3,4,6,7,9,10,13,17,18,19,21,22,24,25,29,30,31,32,33],[4,5,6,7,9,10,11,12,13,16,20,21,22,24,25,27,31,32,33,35,36],[2,5,10,15,16,17,20,21,22,24,25,27,31,33,35],[0,1,2,4,7,8,11,12,13,15,18,20,21,22,24,25,27,28,30,32,34,36],[1,2,4,7,8,9,10,11,12,15,16,17,18,20,21,22,24,25,27,29,30,34],[1,2,3,4,8,12,14,16,19,20,21,22,24,25,30,31,32,33,34,36],[0,1,3,7,9,11,16,17,19,20,21,22,24,25,29,30,33,34],[0,5,10,11,15,16,18,19,20,21,22,24,25,28,31,35,36],[1,2,3,4,7,10,12,13,17,18,19,20,21,22,24,25,32,35],[6,9,10,11,12,13,15,16,23,24,25,27,29,32,34,35],[4,5,6,7,9,11,14,15,16,17,23,24,25,31,34,36],[1,5,7,8,9,10,11,14,16,18,23,24,25,27,29,33,35,36],[0,1,2,6,7,8,9,10,13,17,18,23,24,25,28,29,31,32,33],[1,2,3,4,5,6,8,9,19,23,24,25,30,31,36],[0,1,2,3,7,9,10,12,16,17,19,23,24,25,27,30,31,32,35],[2,6,7,11,13,16,18,19,23,24,25,30,33,34],[5,6,7,8,13,17,18,19,23,24,25,27,28,29,30,32,33,34,35,36],[0,6,8,9,10,11,12,13,14,15,20,23,24,25,29,31,33,34],[0,1,2,11,12,15,16,17,20,23,24,25,27,30,32,34,35,36],[1,2,3,5,6,7,8,10,11,12,13,14,16,18,20,23,24,25,29,31,34,36],[0,2,3,4,5,6,9,10,14,15,17,18,20,23,24,25,27,28,29,30,32,33,34,35],[0,2,7,8,10,11,12,14,19,20,23,24,25,27,30,32,33,34,36],[1,7,8,9,11,12,14,16,17,19,20,23,24,25,34,35],[1,4,5,6,8,10,18,19,20,23,24,25,27,30,31,34],[5,7,8,9,10,11,12,14,15,17,18,19,20,23,24,25,28,29,31,32,33,34,35,36],[0,1,4,6,13,15,16,21,23,24,25,28,32,33,35],[2,3,9,13,17,21,23,24,25,27,28,29,33,35,36],[0,5,6,7,8,10,13,14,15,18,21,23,24,25,28,33,34,35],[0,1,3,5,6,8,9,11,12,13,17,18,21,23,24,25,27,32,33,34,35,36],[0,2,3,4,7,8,9,10,13,15,19,21,23,24,25,28,29,31,33,34,35,36],[0,1,7,10,12,13,14,16,17,19,21,23,24,25,27,28,29,32,33,34,35],[0,1,2,4,5,6,10,18,19,21,23,24,25,28,29,33,35,36],[2,3,6,10,12,13,14,16,17,18,19,21,23,24,25,27,31,32,33,35],[0,1,5,6,8,9,11,14,15,20,21,23,24,25,30],[1,3,6,7,9,11,12,14,16,17,20,21,23,24,25,27,29,32,33,36],[2,3,4,7,8,10,11,12,13,14,18,20,21,23,24,25,30],[5,6,7,12,13,14,17,18,20,21,23,24,25,27,28,32,33,36],[0,1,2,4,6,8,9,12,14,19,20,21,23,24,25,29,30,31,32,35,36],[0,1,6,10,11,13,14,15,16,17,19,20,21,23,24,25,27,29,33,35],[4,5,10,11,12,13,15,18,19,20,21,23,24,25,29,30,35,36],[1,2,3,4,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24,25,27,28,31,32,33,35],[4,5,16,22,23,24,25,27,31,32,33,35],[0,1,2,6,7,9,13,15,17,22,23,24,25,27,29,30,32,33,36],[0,3,5,6,7,9,10,11,12,13,14,15,16,18,22,23,24,25,27,28,35,36],[0,1,3,6,7,15,17,18,22,23,24,25,27,30,31],[2,5,6,10,12,13,14,16,19,22,23,24,25,30,32,33,34],[1,4,6,7,8,9,10,12,13,15,16,17,19,22,23,24,25,32,33,34,35,36],[0,2,5,6,7,12,14,16,18,19,22,23,24,25,28,30,32,34,36],[0,2,7,8,9,10,11,14,17,18,19,22,23,24,25,29,32,34,35],[0,1,4,6,8,9,10,12,14,16,20,22,23,24,25,28,30,31,33],[1,4,6,10,11,12,15,17,20,22,23,24,25,28,29,30,35,36],[0,1,2,6,7,9,14,15,18,20,22,23,24,25,30,34,36],[4,6,7,9,11,13,15,17,18,20,22,23,24,25,28,30,31,33,34,35],[0,2,3,4,5,6,7,10,15,16,19,20,22,23,24,25,27,28,33],[0,2,3,4,5,7,9,10,11,13,16,17,19,20,22,23,24,25,27,28,35,36],[0,4,5,7,9,11,16,18,19,20,22,23,24,25,27,32,34,36],[0,1,3,4,10,11,12,13,14,17,18,19,20,22,23,24,25,27,28,29,32,33,34,35],[6,7,10,13,14,16,21,22,23,24,25,28,29,30,32,33,35],[3,4,6,7,8,9,13,16,17,21,22,23,24,25,28,32,33,35,36],[0,1,3,6,7,12,14,16,18,21,22,23,24,25,29,30,31,33,35],[1,3,4,5,7,9,11,17,18,21,22,23,24,25,28,29,31,33,35,36],[2,6,7,12,16,19,21,22,23,24,25,28,29,30,31,32,33,34,35],[0,2,3,4,6,7,11,12,13,14,15,17,19,21,22,23,24,25,28,29,32,33,34,35,36],[3,4,7,9,14,15,18,19,21,22,23,24,25,29,30,31,32,33,34,35],[2,5,6,7,8,9,10,12,13,15,17,18,19,21,22,23,24,25,28,32,33,34,35,36],[1,3,6,7,8,9,10,11,15,16,20,21,22,23,24,25,28,29,30,31,33],[0,1,3,4,6,8,9,10,11,12,17,20,21,22,23,24,25,28,30,31,36],[0,1,7,12,14,18,20,21,22,23,24,25,29,30,33,34],[0,1,2,6,8,10,11,12,14,17,18,20,21,22,23,24,25,28,29,30,34,36],[2,6,7,8,9,13,16,19,20,21,22,23,24,25,28,29,30,33,35],[0,1,2,4,6,10,11,12,15,16,17,19,20,21,22,23,24,25,28,29,30,31,35,36],[0,2,5,6,8,9,11,12,15,16,18,19,20,21,22,23,24,25,29,30,32,33,34,35],[0,1,2,3,5,7,8,11,12,13,15,17,18,19,20,21,22,23,24,25,28,30,31,32,34,35,36],[2,4,5,7,8,15,16,26,30,33,34],[0,1,4,5,11,13,14,16,17,26,27,28,30,31,33,34,35,36],[5,6,9,10,12,14,15,16,18,26,28,29,31,32,33,34,36],[1,4,5,8,9,13,16,17,18,26,27,28,32,33,34,35],[0,1,7,8,9,10,12,13,15,19,26,27,34],[0,2,6,8,9,10,11,12,13,14,16,17,19,26,28,29,34,35,36],[0,1,2,3,9,11,12,13,14,15,16,18,19,26,27,28,29,30,34,36],[2,3,4,9,10,11,13,14,15,16,17,18,19,26,28,29,30,34,35],[1,2,3,5,7,8,11,12,13,14,20,26,28,30,32,33,35,36],[0,1,2,3,4,6,7,8,9,14,17,20,26,27,31,32],[0,1,2,4,5,8,10,11,12,16,18,20,26,29,31,32,33,34,35],[0,1,4,7,8,9,11,12,13,16,17,18,20,26,27,30,32,34,36],[0,1,5,6,12,13,14,19,20,26,27,28,32,34,36],[0,1,4,6,8,9,11,14,15,17,19,20,26,29,30,32,33,34,35],[1,5,7,9,10,11,13,14,15,16,18,19,20,26,27,29,30],[0,1,2,6,8,11,15,16,17,18,19,20,26,29,33,35,36],[0,1,4,5,10,11,12,13,14,16,21,26,27,32,33,35],[0,1,3,4,6,8,9,13,15,17,21,26,28,32,33,35,36],[0,1,2,4,5,7,8,9,10,11,12,13,14,15,16,18,21,26,27,28,29,30,31,35],[1,3,10,11,12,13,15,17,18,21,26,28,30,31,35,36],[2,4,5,6,7,12,19,21,26,27,32],[0,2,3,4,6,7,9,10,11,13,14,16,17,19,21,26,28,29,31,32,36],[3,5,8,11,13,14,15,16,18,19,21,26,27,28,29,30,32,33],[2,4,6,7,8,9,11,13,15,17,18,19,21,26,28,29,30,31,32,33,36],[3,4,9,10,11,13,14,15,16,20,21,26,30,31,33,34,36],[1,2,7,9,15,17,20,21,26,27,28,31,34],[0,4,6,7,9,10,11,12,16,18,20,21,26,28,29,36],[1,3,4,7,9,10,11,13,16,17,18,20,21,26,27,28,30,33],[0,2,5,8,10,11,12,19,20,21,26,30,31,36],[1,3,4,5,6,7,12,14,15,16,17,19,20,21,26,27,28,29,33],[2,4,5,7,8,9,10,12,13,16,18,19,20,21,26,28,29,31,32,33,34,36],[1,2,3,4,5,7,9,10,13,15,17,18,19,20,21,26,27,28,29,30,32,34],[1,4,5,6,11,22,26,29,33,34,35],[1,4,5,7,8,9,10,12,13,17,22,26,28,29,30,31,32,33,34,36],[0,2,3,4,7,12,13,14,18,22,26,30,32,33,35,36],[3,7,8,9,12,13,14,15,17,18,22,26,29,31,33],[0,1,2,3,5,8,9,10,12,13,19,22,26,27,30,32,34,35,36],[1,2,3,5,7,8,11,14,15,16,17,19,22,26,27,28,29,34],[3,4,7,8,10,12,14,16,18,19,22,26,27,29,31,32,35],[2,3,6,7,8,9,10,12,13,16,17,18,19,22,26,27,29,30,31,36],[1,3,9,10,11,12,14,16,20,22,26,29,30,31,32,36],[2,3,4,5,9,12,17,20,22,26,28,29,30,33,35],[3,5,7,8,10,12,18,20,22,26,31,32],[0,1,3,6,8,10,16,17,18,20,22,26,29,33,35,36],[0,2,3,5,7,9,10,11,16,19,20,22,26,27,31,33,34,35],[1,3,4,6,7,8,9,12,13,16,17,19,20,22,26,27,28,29,31,32,34,36],[0,1,2,4,6,8,9,10,11,13,14,15,18,19,20,22,26,27,29,30,32,33,34,35,36],[0,2,4,5,6,7,9,10,11,12,14,15,17,18,19,20,22,26,27,29,30,34],[1,2,4,8,9,10,11,12,13,15,16,21,22,26,27,29,31,32,34],[0,3,4,5,9,10,17,21,22,26,27,28,29,30,31,34,36],[0,3,5,7,8,9,12,14,16,18,21,22,26,27,30,31,33],[0,1,4,6,9,10,12,13,14,15,16,17,18,21,22,26,27,29,31,32,33,36],[0,1,3,4,5,7,9,11,12,19,21,22,26,27,31,33,34,35,36],[0,2,4,6,7,9,13,14,15,16,17,19,21,22,26,27,28,29,30,32,33,34,35],[2,3,4,6,10,11,14,18,19,21,22,26,27,29,30,35,36],[0,1,2,5,6,7,11,12,15,17,18,19,21,22,26,27,29,31,32,35],[0,1,2,3,4,6,8,9,12,13,14,15,20,21,22,26,28,29,31,33,35,36],[1,2,7,8,11,12,17,20,21,22,26,29,31,32,35],[0,2,3,5,7,10,11,14,15,16,18,20,21,22,26,28,30,31,35,36],[0,5,7,9,11,12,13,14,15,16,17,18,20,21,22,26,28,29,30,31,32,33,35],[3,8,11,12,14,16,19,20,21,22,26,28,31,32,34,35],[4,7,9,12,14,16,17,19,20,21,22,26,29,33,34,35,36],[1,5,7,10,11,13,15,16,18,19,20,21,22,26,28,29,30,33,34,35],[0,1,2,3,5,6,7,8,9,11,12,13,16,17,18,19,20,21,22,26,28,29,30,31,32,34,35,36],[0,2,3,4,5,8,9,13,14,23,26,27,33,35],[7,8,9,10,12,13,16,17,23,26,28,29,31,32,36],[1,3,6,9,11,12,13,18,23,26,27,28,29,31,32,36],[1,5,9,12,13,17,18,23,26,28,29,33,35],[1,3,4,5,7,8,9,11,13,19,23,26,27,31,34,35],[1,2,6,9,10,11,14,16,17,19,23,26,28,31,32,33,34,36],[0,2,4,7,11,12,16,18,19,23,26,27,28,29,31,33,34,36],[2,3,4,5,7,8,17,18,19,23,26,28,31,32,34,35],[0,3,7,10,11,12,16,20,23,26,27,28,29,32,33,34,35,36],[1,6,7,8,9,11,12,13,16,17,20,23,26,30,31,33,34],[0,1,4,5,7,9,10,14,15,16,18,20,23,26,27,31,32],[0,2,3,5,8,10,12,15,16,17,18,20,23,26,30,35,36],[2,4,5,6,7,8,9,11,12,14,15,16,19,20,23,26,27,28,29,31,32,34,36],[1,2,3,4,5,6,7,8,10,11,12,13,14,17,19,20,23,26,29,30,31,34,35],[1,2,4,7,8,9,11,12,13,18,19,20,23,26,27,31,33,35],[0,3,6,8,12,13,15,17,18,19,20,23,26,29,30,31,32,33,36],[0,1,2,3,4,5,6,7,8,9,11,12,14,15,16,21,23,26,30,31,32,36],[0,2,3,5,7,8,14,16,17,21,23,26,27,28,29,30,31,33],[3,4,6,7,9,10,12,13,16,18,21,23,26,28,29,30,35,36],[0,1,2,3,4,6,12,16,17,18,21,23,26,27,28,29,30,32,33,35],[3,7,8,15,16,19,21,23,26,27,32,33,34,35,36],[0,1,3,4,7,9,11,12,13,14,17,19,21,23,26,28,31,34,35],[0,1,2,4,5,6,7,9,10,12,13,14,16,18,19,21,23,26,27,28,29,32,33,34,36],[0,4,5,8,12,13,14,15,16,17,18,19,21,23,26,28,31,34],[1,3,4,5,6,9,10,11,12,13,14,15,16,20,21,23,26,27,29,34],[1,2,3,4,6,7,8,9,10,11,12,17,20,21,23,26,28,30,32,34,36],[4,13,18,20,21,23,26,27,28,31,35],[0,5,6,8,10,11,13,14,16,17,18,20,21,23,26,28,30,31,32,35,36],[0,1,2,4,5,6,7,8,9,11,12,13,14,15,19,20,21,23,26,29,30,31,33,34],[1,4,8,9,11,12,16,17,19,20,21,23,26,27,28,29,32,33,34,36],[0,2,6,7,8,9,10,11,15,18,19,20,21,23,26,28,30,31,32,33,35],[0,2,4,5,6,7,8,9,12,15,17,18,19,20,21,23,26,27,28,29,33,35,36],[0,5,7,8,9,11,12,13,15,16,22,23,26,29,34,36],[0,1,3,4,6,8,11,12,13,14,15,16,17,22,23,26,28,30,31,33,34,35],[0,2,3,5,6,7,8,10,12,14,15,16,18,22,23,26,32,33,35],[1,6,7,8,9,12,13,15,17,18,22,23,26,30,31,32,36],[2,3,6,9,11,13,15,16,19,22,23,26,31,32,33],[0,1,2,4,5,6,7,8,11,12,14,15,16,17,19,22,23,26,28,30,31,32,35,36],[3,4,6,9,10,11,14,16,18,19,22,23,26,29,32,34,35,36],[1,2,4,5,8,12,14,15,16,17,18,19,22,23,26,30,32,33,34],[0,1,2,4,5,6,9,11,12,13,14,16,20,22,23,26,30,31,32,33],[0,1,3,4,5,6,8,9,13,14,15,17,20,22,23,26,28,29,30,32,33,35,36],[1,2,4,5,6,8,9,10,11,13,16,18,20,22,23,26,29,30,31,32,35,36],[0,1,2,3,5,7,9,10,11,12,14,15,16,17,18,20,22,23,26,29,30,32],[5,6,11,12,14,16,19,20,22,23,26,29,30,35,36],[0,2,3,5,11,13,14,16,17,19,20,22,23,26,28,29,30],[0,3,4,5,8,9,12,13,15,18,19,20,22,23,26,30,31,32,33],[0,5,7,8,9,11,12,14,17,18,19,20,22,23,26,29,30,31,32,33,35,36],[7,8,12,14,16,21,22,23,26,27,29,32,35],[0,2,4,7,8,10,11,15,16,17,21,22,23,26,27,28,30,32,33,35,36],[2,3,4,7,8,9,10,12,13,15,16,18,21,22,23,26,27,34],[2,3,4,6,8,9,11,12,13,15,17,18,21,22,23,26,27,30,33,34,36],[0,2,3,4,7,9,11,12,19,21,22,23,26,30,31,33,34,36],[0,3,6,7,8,9,10,14,15,17,19,21,22,23,26,28,34],[0,3,4,6,7,9,10,12,13,15,18,19,21,22,23,26,29,30,33,35,36],[3,4,6,8,9,10,11,12,14,16,17,18,19,21,22,23,26,31,35],[0,1,2,5,6,9,10,12,15,20,21,22,23,26,28,33,34,35,36],[2,7,8,10,11,14,16,17,20,21,22,23,26,29,33,34,35],[1,2,4,5,8,9,10,11,12,13,15,16,18,20,21,22,23,26,28,29,33,34,36],[15,17,18,20,21,22,23,26,28,29,33,34],[7,9,11,13,14,16,19,20,21,22,23,26,27,28,29,30,31,32,34,35],[1,5,12,13,17,19,20,21,22,23,26,27,29,30,32,34,35,36],[0,3,7,8,10,11,12,14,15,16,18,19,20,21,22,23,26,27,28,30,34],[0,11,14,17,18,19,20,21,22,23,26,27,28,29,30,31,34,36],[1,2,6,13,16,24,26,31,32,33,36],[0,1,3,4,5,6,9,13,14,15,16,17,24,26,27,28,31,32,33,35],[1,2,4,6,8,11,12,15,18,24,26,28,29,30,32,33,35,36],[1,2,3,4,5,7,8,9,11,12,14,15,17,18,24,26,27,28,30,32,33],[0,2,4,5,7,8,9,10,11,12,13,14,15,19,24,26,27,28,30,32,33],[0,3,6,7,12,14,15,16,17,19,24,26,29,30,31,32,33,35,36],[0,2,3,4,5,6,7,9,11,12,14,15,16,18,19,24,26,27,29,33,35],[2,4,6,8,9,10,13,16,17,18,19,24,26,29,31,33,36],[5,7,12,14,20,24,26,27,28,31,35],[0,1,3,5,6,8,9,10,11,12,13,16,17,20,24,26,30,31,33,36],[0,2,3,4,5,6,7,10,12,15,16,18,20,24,26,27,29,30,32,34],[0,1,5,6,7,8,9,11,13,15,16,17,18,20,24,26,32,33,34,35,36],[0,3,5,7,9,10,11,13,14,15,16,19,20,24,26,30,34,36],[0,1,5,9,10,11,17,19,20,24,26,27,28,29,31,33,34,35],[2,3,5,7,9,12,18,19,20,24,26,28,29,35,36],[0,1,4,5,6,7,10,13,14,16,17,18,19,20,24,26,27,28,29,30,31,33],[0,1,2,4,5,7,8,12,14,15,21,24,26,27,28,30,32,33,34,35,36],[0,2,5,6,8,10,11,15,17,21,24,26,30,31,32,33,34,35],[0,1,2,4,5,6,7,9,11,12,14,15,16,18,21,24,26,27,29,31,32,34],[4,5,6,7,9,10,11,13,15,16,17,18,21,24,26,32,34,36],[2,4,5,7,9,10,12,14,16,19,21,24,26,27,30,31,32,33,34],[0,1,2,5,8,9,10,13,14,17,19,21,24,26,28,29,30,31,32,33,34,36],[2,3,5,7,8,10,11,12,15,16,18,19,21,24,26,27,28,29,31,34,35,36],[1,3,5,6,7,9,10,12,14,17,18,19,21,24,26,28,29,31,34,35],[5,6,8,9,10,13,14,20,21,24,26,27,28,31,34],[2,6,9,11,12,15,17,20,21,24,26,30,33,34,36],[0,2,3,5,6,8,10,13,16,18,20,21,24,26,27,29,30,32,33,35,36],[2,3,4,7,14,17,18,20,21,24,26,31,32,35],[0,3,4,7,8,9,11,12,13,15,16,19,20,21,24,26,27,36],[2,3,4,5,6,7,8,12,13,17,19,20,21,24,26,28,29,30,33],[2,3,6,7,8,9,10,11,18,19,20,21,24,26,27,28,29,30,33,34,35],[2,3,4,5,6,8,9,10,13,15,17,18,19,20,21,24,26,28,29,34,35,36],[5,6,7,8,9,10,13,22,24,26,27,31,33,34,35],[1,3,4,7,8,9,13,17,22,24,26,27,28,30,31,32,33,34,36],[0,1,3,6,7,8,9,10,13,14,15,16,18,22,24,26,27,29,30,31,33],[2,5,6,8,14,15,17,18,22,24,26,27,31,32,33,35,36],[0,3,4,5,6,8,9,10,13,16,19,22,24,26,28,29,30,32,33,34,35],[1,6,8,9,10,11,13,14,15,17,19,22,24,26,31,33,34,36],[1,3,8,10,16,18,19,22,24,26,28,31,33],[2,5,6,7,8,13,15,17,18,19,22,24,26,28,30,32,33,35,36],[2,5,6,10,12,15,16,20,22,24,26,30,32,33,34,36],[3,5,6,7,8,10,11,15,16,17,20,22,24,26,28,30,34,35],[1,18,20,22,24,26,29,33,34,35,36],[0,1,3,4,6,8,10,13,17,18,20,22,24,26,32,34],[0,1,2,9,12,13,14,19,20,22,24,26,27,28,29,31,33,35,36],[1,3,6,7,8,10,13,14,16,17,19,20,22,24,26,27,32],[0,3,4,5,8,10,11,12,13,18,19,20,22,24,26,27,28,30,33,36],[0,5,11,13,14,15,16,17,18,19,20,22,24,26,27,28,30,31,32,35],[1,4,5,6,7,9,12,13,14,16,21,22,24,26,28,31,34],[0,1,2,5,6,8,11,12,14,15,17,21,22,24,26,30,32,34,36],[0,3,7,8,11,12,13,14,16,18,21,22,24,26,28,29,30,31,33,35,36],[0,3,6,7,8,9,11,12,15,16,17,18,21,22,24,26,28,32,33,35],[0,1,3,4,7,12,14,15,16,19,21,22,24,26,29,32,34,35],[0,1,2,3,6,9,10,13,15,16,17,19,21,22,24,26,28,30,34,35,36],[3,4,5,7,13,16,18,19,21,22,24,26,30,31,33,36],[0,3,4,5,7,8,9,11,12,17,18,19,21,22,24,26,31,32,33],[0,1,2,6,9,11,12,13,14,16,20,21,22,24,26,31,32,34,35,36],[2,5,11,14,17,20,21,22,24,26,28,33,34,35],[0,4,5,6,9,12,16,18,20,21,22,24,26,29,30,31,33,34],[0,1,2,6,7,8,9,10,11,12,16,17,18,20,21,22,24,26,30,32,34,36],[2,4,6,7,9,11,13,19,20,21,22,24,26,28,29,35,36],[1,2,4,5,6,7,9,11,12,13,14,15,17,19,20,21,22,24,26,32,33,35],[1,3,4,5,8,9,11,13,16,18,19,20,21,22,24,26,28,30,31,33],[1,4,5,8,9,12,14,15,16,17,18,19,20,21,22,24,26,28,30,31,32,36],[1,2,4,5,6,7,9,11,14,15,16,23,24,26,29,30,31,34,35],[0,4,5,6,8,9,10,11,12,14,16,17,23,24,26,27,28,30,31,32,33,34,36],[0,2,6,7,10,11,12,13,16,18,23,24,26,28,30,33,34,35],[0,1,2,4,7,8,11,14,16,17,18,23,24,26,27,28,30,32,34,36],[0,2,4,5,12,13,14,15,16,19,23,24,26,28,29,30,31,35,36],[0,1,4,5,6,10,17,19,23,24,26,27,29,30,32,33],[1,2,3,4,6,8,9,12,13,16,18,19,23,24,26,30,31,32,33,35,36],[0,2,3,6,9,10,16,17,18,19,23,24,26,27,29,30],[1,2,3,4,5,9,12,13,15,16,20,23,24,26,27,28,30,31,32,33,34,35,36],[0,1,2,3,6,9,13,14,16,17,20,23,24,26,29,31,33,34],[6,7,12,15,16,18,20,23,24,26,27,29,30,35,36],[2,5,6,7,10,11,14,17,18,20,23,24,26,29,32],[0,1,2,10,12,13,15,16,19,20,23,24,26,27,30,31,32,33,34],[0,1,2,4,5,9,13,17,19,20,23,24,26,28,33,34,35,36],[0,5,7,9,11,12,13,14,16,18,19,20,23,24,26,27,28,29,30,31,32],[2,6,7,10,11,13,16,17,18,19,20,23,24,26,28,35,36],[1,6,7,9,15,16,21,23,24,26,27,28,29,31,33,34,36],[1,3,5,6,13,14,16,17,21,23,24,26,32,34],[0,5,7,8,12,14,15,16,18,21,23,24,26,27,33,34],[2,3,4,7,8,9,12,14,15,17,18,21,23,24,26,31,32,34,36],[0,4,5,6,7,12,14,15,19,21,23,24,26,29,30,31,33,35],[3,4,6,8,12,13,15,17,19,21,23,24,26,27,28,29,30,31,32,35,36],[1,3,6,11,12,15,16,18,19,21,23,24,26,28,30,31,32,33,35,36],[1,2,4,5,8,9,10,11,12,13,14,15,17,18,19,21,23,24,26,27,28,29,30,31,35],[0,1,3,4,5,7,8,10,11,14,20,21,23,24,26,27,28,30,32,34],[0,2,5,8,12,13,17,20,21,23,24,26,29,31,34,36],[0,2,4,13,14,15,18,20,21,23,24,26,27,29,30,31,36],[1,2,3,4,8,13,17,18,20,21,23,24,26,29,32],[1,4,5,6,7,9,10,14,19,20,21,23,24,26,32,34,36],[0,2,3,5,7,9,10,12,13,14,15,16,17,19,20,21,23,24,26,27,28,30,34],[2,4,5,6,10,18,19,20,21,23,24,26,28,29,32],[0,7,8,11,14,16,17,18,19,20,21,23,24,26,27,28,30,36],[1,3,6,9,13,22,23,24,26,29,31,32,33,34],[1,3,6,9,10,14,17,22,23,24,26,28,30,31,32,34,35,36],[1,6,7,8,9,10,11,12,14,15,16,18,22,23,24,26,31,32],[0,1,2,4,6,7,8,9,11,12,13,14,15,16,17,18,22,23,24,26,30,31,32,33,35,36],[0,1,5,7,10,11,12,14,19,22,23,24,26,28,31,33],[1,5,6,9,10,12,17,19,22,23,24,26,30,35,36],[0,1,4,5,8,12,13,15,18,19,22,23,24,26,28,29,32,34],[0,1,2,5,8,9,13,14,17,18,19,22,23,24,26,28,30,31,32,33,34,35,36],[5,8,9,11,12,16,20,22,23,24,26,27,30,33,34,36],[1,2,4,8,10,12,13,14,15,17,20,22,23,24,26,27,28,29,30,33,34,35],[0,2,5,6,7,8,9,10,11,12,14,15,18,20,22,23,24,26,27,29,30,32,34,36],[0,3,9,11,12,13,17,18,20,22,23,24,26,27,29,30,32,34,35],[0,1,4,5,6,8,11,12,13,16,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36],[0,1,3,4,5,6,11,13,15,16,17,19,20,22,23,24,26,27,29,30,31,32,33,34],[1,5,7,8,9,11,13,18,19,20,22,23,24,26,27,28,30,31,32,34,35,36],[0,1,2,3,6,7,8,9,10,11,13,17,18,19,20,22,23,24,26,27,28,29,30,32,34],[0,2,4,11,13,14,15,16,21,22,23,24,26,27,28,29,32,33,35,36],[6,10,12,17,21,22,23,24,26,27,30,31,32,35],[0,2,6,7,8,9,11,14,15,16,18,21,22,23,24,26,27,28,32,33,34,35],[0,3,4,5,6,8,9,12,14,15,16,17,18,21,22,23,24,26,27,28,30,31,32,34,35,36],[2,5,6,9,12,13,14,19,21,22,23,24,26,30,33,34,36],[2,3,6,8,10,12,15,16,17,19,21,22,23,24,26,28,34],[2,3,5,6,8,10,12,13,15,16,18,19,21,22,23,24,26,29,30,31,32,33],[1,4,6,13,17,18,19,21,22,23,24,26,31,32,36],[1,2,6,12,20,21,22,23,24,26,27,33,35],[1,2,4,7,8,9,10,12,17,20,21,22,23,24,26,27,28,29,31,33,35,36],[2,5,6,7,13,14,16,18,20,21,22,23,24,26,27,29,32,33,35,36],[0,2,3,5,6,9,10,11,13,16,17,18,20,21,22,23,24,26,27,29,31,32,33,35],[1,4,5,10,11,13,14,16,19,20,21,22,23,24,26,28,29,30,32,33,35],[0,1,2,3,4,6,7,8,9,11,14,16,17,19,20,21,22,23,24,26,29,30,32,33,35,36],[0,1,3,6,7,8,10,12,14,18,19,20,21,22,23,24,26,28,30,31,32,33,35,36],[17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,35],[0,6,7,8,9,12,14,16,25,26,27,28,29,34],[0,1,7,8,10,11,12,13,17,25,26,29,31,33,34],[1,3,4,5,10,11,13,14,15,16,18,25,26,27,30,31,32,36],[0,2,3,5,8,10,13,14,17,18,25,26,29,30,32,33,36],[1,2,3,5,6,7,8,10,11,13,14,15,19,25,26,30,31,32,33,34,35],[0,2,3,5,7,8,10,11,13,14,16,17,19,25,26,27,28,29,30,31,32,34,35],[0,2,3,6,7,11,12,13,14,15,18,19,25,26,28,29,31,32,33,35,36],[0,1,3,4,6,9,10,11,14,16,17,18,19,25,26,27,28,29,31,32,35,36],[2,5,6,7,8,11,12,13,14,15,16,20,25,26,27,31,34,35],[4,6,7,9,10,13,15,16,17,20,25,26,28,30,34,35],[1,4,6,8,11,13,15,18,20,25,26,27,28,29,30,34,35,36],[0,1,4,6,10,12,14,16,17,18,20,25,26,28,31,34,35,36],[0,4,5,6,8,11,13,15,16,19,20,25,26,28,29,30,32,33,35],[2,7,9,11,14,15,17,19,20,25,26,27,32,33,35],[0,1,2,3,4,5,8,12,13,14,18,19,20,25,26,33,35,36],[0,1,2,3,4,9,11,12,14,16,17,18,19,20,25,26,27,30,33,35,36],[0,2,8,11,21,25,26,27,28,29,30,32,35,36],[3,5,8,9,11,14,17,21,25,26,29,30,32,33,36],[1,2,3,6,8,9,11,12,13,14,16,18,21,25,26,27,31,33,34,35,36],[1,2,4,5,6,7,9,10,12,13,14,16,17,18,21,25,26,29,31,34,36],[1,3,4,6,7,11,12,13,15,16,19,21,25,26,27,30,31,33,35,36],[1,2,4,8,15,16,17,19,21,25,26,28,29,30,36],[0,3,6,7,10,11,13,18,19,21,25,26,27,28,29,31,34,35,36],[4,6,7,8,10,13,17,18,19,21,25,26,28,29,33,34,36],[0,4,6,7,10,11,12,14,15,20,21,25,26,28,32,36],[1,3,8,10,11,12,16,17,20,21,25,26,27,30,32,35,36],[0,1,2,4,5,6,7,8,9,10,11,12,14,15,18,20,21,25,26,29,30,31,32,33,36],[0,3,4,7,9,11,12,15,17,18,20,21,25,26,27,31,32,33,35,36],[2,4,7,9,10,14,15,19,20,21,25,26,29,31,33,34,35,36],[1,2,3,6,9,14,15,16,17,19,20,21,25,26,27,28,30,33,34,36],[1,3,5,7,10,12,16,18,19,20,21,25,26,28,30,31,32,34,35,36],[0,2,5,8,9,11,13,14,16,17,18,19,20,21,25,26,27,28,32,34,36],[0,1,2,5,8,9,15,22,25,26,27,28,30,31],[1,8,9,10,17,22,25,26,27,32,33],[0,1,2,4,5,6,7,9,11,12,13,14,15,18,22,25,26,27,28,29,31,32,36],[0,1,2,4,5,7,8,11,12,13,14,15,17,18,22,25,26,27,28,30,33,36],[1,4,5,6,7,10,11,13,19,22,25,26,33,35,36],[1,2,4,6,7,8,9,10,12,13,14,15,17,19,22,25,26,28,29,30,32,35,36],[1,3,4,7,12,15,16,18,19,22,25,26,29,30,31,33,35],[0,1,3,4,5,6,8,12,15,16,17,18,19,22,25,26,29,31,32,35],[5,6,8,9,10,11,13,15,20,22,25,26,27,28,29,31,33,35],[0,1,4,5,6,10,12,14,15,16,17,20,22,25,26,27,29,32,33,35],[0,2,3,6,8,9,10,11,12,13,14,15,18,20,22,25,26,27,28,30,31,33,34,35,36],[0,1,3,4,5,6,7,8,12,14,17,18,20,22,25,26,27,28,29,30,32,33,34,35,36],[0,1,2,3,4,7,9,10,11,13,14,16,19,20,22,25,26,29,30,34,35,36],[0,2,3,5,7,8,11,12,13,15,16,17,19,20,22,25,26,28,30,32,34,35,36],[1,3,4,6,9,10,11,14,16,18,19,20,22,25,26,31,32,35],[0,2,3,4,5,7,12,14,15,16,17,18,19,20,22,25,26,31,35],[4,6,10,14,15,16,21,22,25,26,27,28,30,32,33,35,36],[1,3,4,5,9,10,12,13,15,17,21,22,25,26,27,36],[4,5,6,8,9,10,11,12,13,14,15,16,18,21,22,25,26,27,28,29,35,36],[0,1,2,3,5,6,7,10,11,15,17,18,21,22,25,26,27,28,30,32,33,36],[0,2,4,7,8,10,12,13,16,19,21,22,25,26,27,30,31,32,35],[1,2,3,6,8,13,16,17,19,21,22,25,26,27,28,29,33],[0,2,4,6,7,8,12,13,15,18,19,21,22,25,26,27,29,32,33,35],[0,1,3,4,5,6,7,9,10,11,14,15,16,17,18,19,21,22,25,26,27,29,30,31],[1,2,4,5,6,7,8,11,12,13,16,20,21,22,25,26,29,30,31,32,36],[1,6,8,11,12,13,14,15,17,20,21,22,25,26,28,29,30,31,35,36],[0,1,6,8,10,12,15,16,18,20,21,22,25,26,31,32,33,34,36],[1,3,5,6,8,14,15,17,18,20,21,22,25,26,29,31,33,34,35,36],[0,3,8,10,11,12,13,15,16,19,20,21,22,25,26,28,29,30,32,33,34,35],[3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,25,26,30,31,33,34],[2,3,4,7,8,9,10,16,18,19,20,21,22,25,26,28,31,35],[0,1,2,3,4,7,9,10,11,12,15,17,18,19,20,21,22,25,26,28,32],[0,2,3,4,5,7,8,10,23,25,26,27,28,30,33],[0,2,5,7,9,10,11,13,15,16,17,23,25,26,29,30,31,32,33],[0,2,3,4,5,6,7,8,10,12,14,18,23,25,26,27,29,30,31,32,34,35,36],[3,8,14,15,17,18,23,25,26,29,30,34,35,36],[1,3,6,7,8,9,10,13,14,16,19,23,25,26,27,29,30,32,34,35],[0,1,7,8,10,12,13,16,17,19,23,25,26,28,29,30,34,35],[1,5,9,12,14,18,19,23,25,26,27,28,30,32,33,36],[1,2,5,6,7,9,11,12,14,17,18,19,23,25,26,28,29,30,33,36],[1,2,3,4,5,6,9,11,15,20,23,25,26,27,30,31,33],[3,4,7,8,13,14,17,20,23,25,26,28,29,32],[0,1,4,6,7,11,14,15,16,18,20,23,25,26,27,28,29,30,35,36],[3,4,6,8,9,11,14,16,17,18,20,23,25,26,28,29,31,32,33,35,36],[0,1,3,4,7,9,11,12,13,14,16,19,20,23,25,26,27,28,29,30,31,32],[2,3,4,6,10,13,14,17,19,20,23,25,26,29,31,33],[1,4,5,6,7,9,10,13,16,18,19,20,23,25,26,27,30,31,33,35,36],[0,1,2,4,5,7,8,9,10,11,12,13,17,18,19,20,23,25,26,29,31,32,35,36],[3,4,5,6,8,11,13,15,16,21,23,25,26,27,28,31,32,35],[0,1,4,5,8,11,12,14,17,21,23,25,26,29,31],[3,5,8,11,14,15,16,18,21,23,25,26,27,29,34],[1,2,4,8,9,11,13,14,15,17,18,21,23,25,26,29,32,34,35],[0,1,3,4,5,6,9,11,14,16,19,21,23,25,26,29,30,31,33,34,35],[0,7,9,10,11,13,14,15,16,17,19,21,23,25,26,27,28,29,30,32,33,34],[0,1,2,4,9,10,12,15,16,18,19,21,23,25,26,28,30,31,33],[0,1,2,5,9,11,15,16,17,18,19,21,23,25,26,27,28,29,30,32,33,35],[1,2,4,5,7,8,10,11,14,20,21,23,25,26,28,30,31,32,35],[0,1,4,5,7,9,12,13,16,17,20,21,23,25,26,27,29,31,33],[0,1,4,6,7,9,10,11,13,16,18,20,21,23,25,26,29,30,32],[2,3,5,6,7,11,13,14,16,17,18,20,21,23,25,26,27,29,33,35],[0,1,2,3,5,8,10,12,13,15,16,19,20,21,23,25,26,27,29,31,33],[0,1,10,11,14,15,16,17,19,20,21,23,25,26,28,29,30,32,35],[1,3,7,11,12,13,14,18,19,20,21,23,25,26,27,28,31,32,33,35],[0,1,4,7,10,12,14,17,18,19,20,21,23,25,26,28,29,30],[0,2,4,5,6,7,8,10,12,13,15,16,22,23,25,26,28,29,30,31,36],[1,5,7,8,9,10,13,16,17,22,23,25,26,36],[1,2,3,4,7,9,10,13,14,18,22,23,25,26,28,30,31,32,33,35],[2,4,5,10,11,12,14,15,16,17,18,22,23,25,26,28,32,33,35],[3,4,11,12,13,15,19,22,23,25,26,29,30,31,33,34,35],[1,5,12,14,15,16,17,19,22,23,25,26,28,29,31,33,34,35],[0,7,9,10,13,16,18,19,22,23,25,26,30,34,36],[0,2,3,5,7,11,12,15,17,18,19,22,23,25,26,29,34,36],[3,4,8,11,12,14,20,22,23,25,26,28,29,31,33,36],[0,1,3,5,7,9,12,15,16,17,20,22,23,25,26,36],[4,5,6,7,10,11,14,15,18,20,22,23,25,26,28,31,34,35],[0,2,3,5,6,7,9,11,14,17,18,20,22,23,25,26,28,33,34,35],[0,4,5,6,8,12,16,19,20,22,23,25,26,29,31],[0,1,2,3,4,5,8,10,11,12,14,15,16,17,19,20,22,23,25,26,28,29,31,33],[5,7,9,10,12,13,14,15,16,18,19,20,22,23,25,26,32,33,34,35,36],[0,1,3,5,6,9,10,12,13,14,15,16,17,18,19,20,22,23,25,26,29,32,34,35,36],[0,2,3,4,11,12,13,16,21,22,23,25,26,28,29,30,31,32,34,35,36],[0,1,2,5,8,9,10,11,16,17,21,22,23,25,26,31,32,34,36],[1,2,6,8,9,10,11,14,15,18,21,22,23,25,26,28,30,31,34,36],[0,3,4,5,6,7,8,9,11,15,16,17,18,21,22,23,25,26,28,31,34,35,36],[0,3,6,7,8,9,10,12,15,16,19,21,22,23,25,26,27,29,31,32,33,35],[1,2,3,4,6,7,8,9,10,12,14,15,17,19,21,22,23,25,26,27,28,29,30,32,33],[0,1,2,4,6,7,9,10,11,12,13,16,18,19,21,22,23,25,26,27,32,33],[1,2,3,5,6,7,9,10,13,17,18,19,21,22,23,25,26,27,29,30,31,32,33,35],[0,1,4,6,10,11,13,14,16,20,21,22,23,25,26,27,29,30,32,33,34,35,36],[1,3,5,7,8,11,14,15,17,20,21,22,23,25,26,27,28,30,32,34,36],[3,4,5,6,7,9,14,15,16,18,20,21,22,23,25,26,27,30,32,33,36],[0,1,2,3,8,9,11,12,14,15,16,17,18,20,21,22,23,25,26,27,30,32,35,36],[0,1,2,6,8,11,12,16,19,20,21,22,23,25,26,28,29,32,34],[5,6,10,12,15,17,19,20,21,22,23,25,26,29,31,32,33,34,35],[0,2,3,4,5,6,8,11,14,15,18,19,20,21,22,23,25,26,28,31,35],[17,18,19,20,21,22,23,25,26,28,29,33],[0,1,3,4,6,7,8,10,12,14,15,16,24,25,26,27,28,31,32,35],[0,1,2,3,4,6,10,16,17,24,25,26,31,32,33,35],[3,5,11,13,14,15,16,18,24,25,26,27,29,30,32,34],[0,2,3,6,7,10,11,13,17,18,24,25,26,30,32,33,34],[2,6,9,11,19,24,25,26,28,29,30,31,36],[0,1,2,3,5,6,7,9,11,13,14,15,16,17,19,24,25,26,27,30,33,36],[0,1,3,5,9,11,12,13,18,19,24,25,26,31,32,34,35,36],[0,1,2,3,4,6,7,8,9,11,13,14,15,16,17,18,19,24,25,26,27,32,33,34,35,36],[1,3,4,6,7,12,13,15,20,24,25,26,29,32,33,34],[1,2,3,5,8,9,11,14,17,20,24,25,26,27,28,29,30,32,33,34],[2,3,4,5,7,11,12,13,14,18,20,24,25,26,28,30,31,33,34,35],[0,2,3,7,9,10,11,17,18,20,24,25,26,27,28,29,31,33,34,35],[0,2,4,6,7,10,12,13,16,19,20,24,25,26,27,30,33,36],[0,1,3,4,5,8,10,11,13,14,15,16,17,19,20,24,25,26,28,29,31,33,36],[3,7,8,9,10,11,12,16,18,19,20,24,25,26,27,28,29,33,35,36],[0,3,4,8,9,10,13,14,16,17,18,19,20,24,25,26,28,29,30,31,33,35,36],[0,3,6,12,16,21,24,25,26,27,30,32,34,36],[1,2,3,4,7,8,10,11,14,15,17,21,24,25,26,28,30,31,32,33,34,35,36],[1,2,5,7,8,9,10,11,12,15,18,21,24,25,26,27,28,29,31,32,33,35],[0,6,7,8,11,12,14,17,18,21,24,25,26,28,32],[1,4,7,9,10,11,12,13,19,21,24,25,26,27,29,30,34],[0,2,3,4,6,7,8,10,12,13,14,16,17,19,21,24,25,26,28,30,33,34,35],[0,1,4,5,7,8,9,11,18,19,21,24,25,26,27,28,32,33,35,36],[0,2,4,5,6,11,15,17,18,19,21,24,25,26,28,32,36],[0,5,6,7,10,12,14,15,20,21,24,25,26,27,29,32,33,35,36],[2,3,4,6,7,9,10,14,16,17,20,21,24,25,26,28,29,30,31,32,33,36],[0,1,3,4,5,6,9,10,12,14,15,16,18,20,21,24,25,26,27,28,30,31],[1,2,5,7,8,9,15,17,18,20,21,24,25,26,28,29,35],[3,5,8,9,13,19,20,21,24,25,26,27,33,34],[0,1,4,7,8,10,13,14,15,16,17,19,20,21,24,25,26,28,29,30,33,34,35],[4,5,7,8,9,12,16,18,19,20,21,24,25,26,27,28,29,30,34,35,36],[0,3,5,6,8,12,14,15,16,17,18,19,20,21,24,25,26,28,29,34,36],[0,2,3,4,6,13,15,16,22,24,25,26,28,35,36],[1,5,8,10,11,12,16,17,22,24,25,26,30,32,33,35,36],[0,3,4,6,7,10,12,15,16,18,22,24,25,26,28,29,30,36],[0,1,2,4,6,9,12,13,14,15,16,17,18,22,24,25,26,28,32,33,36],[2,3,4,8,10,11,12,13,14,16,19,22,24,25,26,27,28,30,36],[1,2,3,6,8,9,11,17,19,22,24,25,26,27,29,31,32,33,36],[0,5,6,7,9,10,11,16,18,19,22,24,25,26,27,28,29,31,32,35,36],[3,5,6,7,9,15,17,18,19,22,24,25,26,27,28,29,30,33,35,36],[1,2,5,7,13,14,15,16,20,22,24,25,26,27,28,29,30,34,36],[2,3,4,5,8,10,11,13,14,17,20,22,24,25,26,27,29,30,32,34,36],[0,4,6,7,9,10,11,13,14,15,16,18,20,22,24,25,26,27,28,32,35,36],[0,5,7,8,9,11,13,14,15,17,18,20,22,24,25,26,27,28,29,35,36],[0,1,3,4,8,11,19,20,22,24,25,26,28,29,36],[0,4,8,11,13,15,16,17,19,20,22,24,25,26,31,32,36],[0,3,4,6,10,12,13,15,18,19,20,22,24,25,26,28,30,31,34,35,36],[3,4,6,7,10,13,14,17,18,19,20,22,24,25,26,28,30,32,34,35,36],[2,3,6,8,9,11,13,14,15,16,21,22,24,25,26,33],[0,4,6,7,8,9,10,12,13,15,16,17,21,22,24,25,26,28,30,31,32,35],[3,4,5,10,11,12,15,18,21,22,24,25,26,29,30,35,36],[1,3,4,6,8,9,12,13,14,17,18,21,22,24,25,26,31,32,33,36],[0,1,5,6,7,12,13,14,15,19,21,22,24,25,26,33],[0,1,3,7,9,11,14,15,17,19,21,22,24,25,26,28,29,30,32,35],[0,1,2,5,7,8,9,10,14,15,18,19,21,22,24,25,26,29,30,31,32,35,36],[1,10,14,15,16,17,18,19,21,22,24,25,26,29,31,33,36],[0,2,7,9,10,11,20,21,22,24,25,26,28,29,31,33,34,35],[2,4,5,6,8,9,11,12,13,15,17,20,21,22,24,25,26,29,32,33,34],[0,9,10,13,15,16,18,20,21,22,24,25,26,28,30,31,32,36],[0,1,2,4,5,6,7,8,11,13,14,15,16,17,18,20,21,22,24,25,26,28,29,30,35,36],[2,6,8,12,13,14,16,19,20,21,22,24,25,26,28,29,31,33],[0,2,3,4,6,10,13,17,19,20,21,22,24,25,26,31,32,33,35],[3,4,6,7,10,14,18,19,20,21,22,24,25,26,28,30,34,35,36],[17,18,19,20,21,22,24,25,26,28,30,32,34,36],[1,2,4,5,6,7,8,10,11,12,13,14,15,23,24,25,26,28,30,31,34,35,36],[2,4,5,6,7,8,9,11,13,15,16,17,23,24,25,26,27,29,30,31,32,34,35,36],[1,3,5,6,7,11,12,13,16,18,23,24,25,26,29,30,33,35,36],[0,1,5,7,11,13,14,16,17,18,23,24,25,26,27,29,30,32,33,35,36],[0,2,3,5,6,8,9,10,12,14,15,16,19,23,24,25,26,28,29,30,32],[1,2,3,5,6,8,11,12,16,17,19,23,24,25,26,27,29,30,31],[1,5,6,7,8,9,12,14,18,19,23,24,25,26,30,33,34],[0,1,3,4,9,12,14,16,17,18,19,23,24,25,26,27,29,30,31,32,33,34],[0,6,7,10,20,23,24,25,26,27,30,33,35,36],[0,1,3,4,9,11,14,16,17,20,23,24,25,26,28,29,32,35,36],[1,2,3,4,5,7,8,10,13,15,16,18,20,23,24,25,26,27,28,29,30,31,32,35,36],[0,1,2,3,5,6,7,10,12,13,14,16,17,18,20,23,24,25,26,28,29,31,33,35,36],[2,5,6,16,19,20,23,24,25,26,27,29,30,31,32,33,35],[0,2,4,6,8,9,11,13,17,19,20,23,24,25,26,28,29,35],[4,6,8,9,10,15,16,18,19,20,23,24,25,26,27,28,30,31,32,35],[0,1,2,3,6,8,10,11,12,13,17,18,19,20,23,24,25,26,28,29,33,35],[0,6,8,12,14,15,21,23,24,25,26,31,33,34,36],[2,6,7,11,13,14,16,17,21,23,24,25,26,27,28,29,32,33,34,35,36],[2,3,6,8,11,13,14,15,18,21,23,24,25,26,28,29,33],[0,1,2,6,7,10,11,14,17,18,21,23,24,25,26,27,28,29,31,32,33,35],[1,2,5,9,12,13,19,21,23,24,25,26,27,29,30,32,33],[1,2,5,6,8,9,13,14,17,19,21,23,24,25,26,28,29,30,33,35],[1,3,5,8,10,11,12,13,14,16,18,19,21,23,24,25,26,27,28,30,33,34,36],[1,11,13,14,17,18,19,21,23,24,25,26,28,29,30,32,33,34,35,36],[0,1,3,5,6,7,8,10,11,15,16,20,21,23,24,25,26,30,31,36],[4,5,9,10,14,15,17,20,21,23,24,25,26,27,28,29,32,33,35,36],[0,4,9,10,11,13,14,18,20,21,23,24,25,26,28,29,30,32],[17,18,20,21,23,24,25,26,27,28,29,31,33,35],[2,5,7,8,19,20,21,23,24,25,26,27,29,32,35],[4,5,6,7,10,11,12,14,16,17,19,20,21,23,24,25,26,28,29,30,33],[0,1,4,6,7,8,9,10,12,13,15,16,18,19,20,21,23,24,25,26,27,28,32,35,36],[17,18,19,20,21,23,24,25,26,28,29,30,33,36],[1,3,6,8,10,11,13,14,15,22,23,24,25,26,28,32,33,35,36],[2,4,5,6,13,15,16,17,22,23,24,25,26,29,30,32,33,35,36],[2,3,4,7,13,15,18,22,23,24,25,26,28,29,32,35,36],[1,3,4,5,6,7,8,12,13,14,15,17,18,22,23,24,25,26,28,29,30,32,35,36],[0,2,3,4,6,8,14,16,19,22,23,24,25,26,28,31,32,33,34,36],[0,1,4,6,7,8,9,10,11,17,19,22,23,24,25,26,30,32,33,34,36],[2,5,6,7,8,9,11,12,16,18,19,22,23,24,25,26,28,29,34,36],[17,18,19,22,23,24,25,26,28,30,31,34,36],[3,8,9,10,13,14,20,22,23,24,25,26,27,28,30,32,33,34,35,36],[0,4,7,9,10,11,12,15,17,20,22,23,24,25,26,27,29,30,32,34,35,36],[1,2,3,4,5,7,8,9,10,11,12,13,15,16,18,20,22,23,24,25,26,27,28,29,30,35,36],[17,18,20,22,23,24,25,26,27,28,29,30,33,35,36],[0,1,3,6,7,8,9,12,13,15,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36],[17,19,20,22,23,24,25,26,27,30,32,34,35,36],[0,2,7,9,11,12,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,32,35,36],[17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,35,36],[3,7,9,11,12,13,14,15,21,22,23,24,25,26,31,32,33,34,36],[0,1,2,4,6,8,10,14,16,17,21,22,23,24,25,26,28,29,30,32,33,34,35,36],[1,4,6,9,11,13,14,15,18,21,22,23,24,25,26,29,31,32,33,34],[17,18,21,22,23,24,25,26,29,30,32,33,34,35],[0,1,2,4,5,6,7,8,10,11,13,14,16,19,21,22,23,24,25,26,27,30,32,33,36],[17,19,21,22,23,24,25,26,27,28,32,33,35,36],[18,19,21,22,23,24,25,26,27,29,30,31,33],[17,18,19,21,22,23,24,25,26,27,31,33,35],[0,5,6,7,8,12,14,16,20,21,22,23,24,25,26,28,32,33,36],[17,20,21,22,23,24,25,26,29,31,32,35,36],[18,20,21,22,23,24,25,26,28,29,33,34],[17,18,20,21,22,23,24,25,26,28,29,31,34,35],[19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36],[17,19,20,21,22,23,24,25,26,27,30,31,32,36],[18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35],[17,18,19,20,21,22,23,24,25,26,27,28,30,32,34]]},"distance":{"d":5,"is_exact":true,"upper":5,"witness":[95,197,281,549,921],"A_d":8646129,"certified":null},"clifford":{"kind":"powers","correction":{"S":[[0,2],[2,1],[3,3],[4,1],[8,2],[11,2],[12,3],[13,2],[14,2],[16,3]],"CZ":[[0,1],[0,3],[0,4],[0,5],[0,6],[0,7],[0,10],[0,11],[0,12],[0,13],[0,14],[0,15],[0,19],[0,20],[0,21],[0,23],[0,24],[0,27],[0,29],[0,30],[0,31],[0,32],[0,33],[1,4],[1,5],[1,8],[1,9],[1,10],[1,13],[1,15],[1,17],[1,18],[1,19],[1,21],[1,25],[1,26],[1,27],[1,28],[1,29],[1,33],[1,34],[1,36],[2,4],[2,9],[2,14],[2,15],[2,16],[2,18],[2,20],[2,22],[2,25],[2,26],[2,27],[2,28],[2,29],[2,33],[2,35],[2,36],[3,4],[3,5],[3,8],[3,9],[3,12],[3,14],[3,17],[3,20],[3,21],[3,22],[3,23],[3,28],[3,29],[3,30],[3,31],[3,33],[4,5],[4,6],[4,8],[4,13],[4,14],[4,15],[4,16],[4,17],[4,20],[4,23],[4,25],[4,26],[4,27],[4,30],[4,31],[4,32],[4,35],[4,36],[5,7],[5,9],[5,11],[5,13],[5,14],[5,17],[5,19],[5,20],[5,21],[5,23],[5,24],[5,25],[5,26],[5,27],[5,30],[5,31],[5,32],[5,34],[6,8],[6,10],[6,13],[6,14],[6,16],[6,17],[6,21],[6,22],[6,24],[6,26],[6,27],[6,33],[6,36],[7,8],[7,10],[7,11],[7,14],[7,17],[7,19],[7,20],[7,21],[7,23],[7,24],[7,26],[7,28],[7,32],[7,34],[8,9],[8,10],[8,11],[8,12],[8,18],[8,19],[8,20],[8,22],[8,25],[8,27],[8,28],[8,29],[8,30],[8,31],[8,33],[8,35],[9,13],[9,14],[9,15],[9,16],[9,18],[9,21],[9,22],[9,24],[9,31],[9,32],[9,33],[10,12],[10,13],[10,15],[10,16],[10,18],[10,19],[10,20],[10,24],[10,25],[10,27],[10,28],[10,32],[10,35],[11,12],[11,13],[11,14],[11,16],[11,17],[11,18],[11,19],[11,24],[11,25],[11,26],[11,27],[11,29],[11,34],[12,13],[12,14],[12,18],[12,21],[12,24],[12,25],[12,26],[12,27],[12,30],[12,31],[12,34],[13,16],[13,17],[13,18],[13,19],[13,20],[13,21],[13,26],[13,27],[13,28],[13,31],[13,32],[13,34],[13,35],[13,36],[14,15],[14,18],[14,19],[14,21],[14,22],[14,23],[14,25],[14,26],[14,27],[14,28],[14,32],[14,33],[14,35],[14,36],[15,16],[15,19],[15,21],[15,22],[15,24],[15,27],[15,29],[15,30],[15,35],[15,36],[16,19],[16,20],[16,23],[16,24],[16,27],[16,28],[16,29],[16,31],[16,32],[16,34],[16,35],[16,36]]},"rotation_powers":[[0,5],[1,7],[2,5],[5,3],[7,3],[8,5],[9,3],[11,3],[23,3],[31,5],[35,7],[63,7],[127,3],[254,3],[374,3],[375,3],[376,3],[377,3],[378,3],[381,3],[387,7],[396,3],[397,3],[398,3],[400,3],[402,3],[404,3],[407,3],[410,3],[411,3],[412,3],[414,3],[420,3],[421,5],[422,3],[425,3],[426,3],[427,3],[428,3],[429,3],[431,3],[433,3],[434,3],[436,3],[437,3],[438,3],[439,3],[440,3],[445,3],[449,3],[450,3],[454,3],[455,3],[457,3],[458,5],[462,3],[463,3],[466,3],[469,7],[471,3],[474,3],[476,3],[477,5],[479,3],[480,3],[485,3],[486,3],[487,7],[488,7],[489,5],[493,5],[494,3],[496,7],[500,3],[503,7],[504,3],[505,3],[506,3],[509,3],[511,5],[513,3],[514,3],[516,3],[519,3],[520,3],[524,3],[525,3],[527,3],[528,3],[529,3],[530,3],[533,3],[536,3],[537,3],[538,3],[540,3],[542,3],[543,3],[544,3],[546,3],[550,3],[551,3],[554,3],[555,3],[556,3],[557,3],[558,3],[560,3],[562,3],[564,3],[565,3],[568,3],[569,3],[572,3],[573,3],[574,3],[575,3],[576,3],[578,3],[581,3],[585,3],[592,3],[594,3],[599,3],[600,3],[602,3],[604,3],[606,3],[608,3],[610,3],[611,3],[612,3],[613,3],[614,3],[615,3],[616,3],[620,3],[621,3],[624,3],[625,3],[626,3],[627,3],[628,3],[638,3],[639,3],[640,3],[641,3],[642,3],[644,3],[646,3],[648,3],[649,3],[650,3],[651,3],[653,3],[654,3],[655,3],[656,3],[659,3],[660,3],[664,3],[668,3],[670,3],[672,3],[673,3],[674,3],[676,3],[677,3],[679,3],[681,3],[690,3],[691,3],[693,3],[694,3],[696,3],[698,3],[700,3],[702,3],[710,3],[711,3],[712,3],[713,3],[714,3],[715,3],[717,3],[720,3],[722,3],[725,3],[726,3],[731,3],[732,3],[734,3],[736,3],[737,3],[738,3],[739,3],[740,3],[743,3],[746,3],[748,3],[752,3],[753,3],[754,3],[756,3],[757,3],[763,3],[764,3],[766,3],[769,3],[770,3],[772,3],[773,3],[774,3],[775,3],[776,3],[778,3],[782,3],[785,3],[786,3],[790,3],[791,3],[793,3],[795,3],[798,3],[801,3],[802,3],[805,3],[809,3],[810,3],[813,3],[815,3],[817,3],[822,3],[824,3],[825,3],[827,3],[828,3],[829,3],[830,3],[834,3],[835,3],[836,3],[837,3],[838,3],[839,3],[844,3],[845,3],[847,3],[848,3],[850,3],[852,3],[853,3],[855,3],[856,3],[860,3],[861,3],[862,3],[863,3],[864,3],[865,3],[866,3],[867,3],[870,3],[876,3],[878,3],[879,3],[880,3],[887,3],[888,3],[889,3],[893,3],[894,3],[898,3],[899,3],[900,3],[901,3],[904,3],[907,3],[910,3],[911,3],[913,3],[914,3],[916,3],[918,3],[919,3],[921,3],[923,3],[925,3],[926,3],[927,3],[930,3],[933,3],[936,3],[937,3],[940,3],[941,3],[942,3],[948,3],[949,3],[950,3],[951,3],[953,3],[955,3],[960,3],[963,3],[965,3],[966,3],[967,3],[968,3],[969,3],[971,3],[972,3],[974,3],[976,3],[977,3],[979,3],[981,3],[984,3],[988,3],[990,3],[992,3],[999,3],[1000,3],[1001,3],[1003,3],[1006,3],[1007,3],[1010,3],[1013,3],[1015,3],[1016,3],[1018,3],[1021,3],[1022,3]]},"metrics":{"gamma":2.5457840841456982,"gamma_t":null,"gamma_rho":2.5457840841456982,"gamma_claim":2.5457840841456982,"gamma_t_claim":null,"gamma_rho_claim":2.5457840841456982,"v_ex":17,"rate":0.016617790811339198,"t_count":null,"poly_degree":null,"effective_width":17},"provenance":{"regimes":["AI search"],"discovery":"AI search","strongest_claim":"found by an AI search campaign; a verified witness, not a maximum","sources":[{"regime":"AI search","file":"master_catalog/catalogue_new","label":"T0.T1.T2.T3.T4.T5.T6.T7.T8.T9.T10.T11.T12.T13.T14.T15.T16","N":37,"d":5,"d_is_exact":true,"origin":"frontier_campaign","provenance":"frontier_campaign \u00b7 catalogue.jsonl:408"}]},"references":[{"key":"jain2026symmetry","short":"Jain et al. (2026)","full":"S. P. Jain, A. Wills, and S. Singh, \"Symmetry and AI-assisted discovery of magic-state factories,\" arXiv:2610.06535 (2026).","url":"https://arxiv.org/abs/2610.06535","date":"2026-10-05"}]}