Magma V2.19-8 Wed Aug 21 2013 01:05:10 on localhost [Seed = 3819305853] Type ? for help. Type -D to quit. Loading file "L14n25100__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25100 geometric_solution 11.47173594 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522805488599 0.825090831584 0 5 3 6 0132 0132 2310 0132 0 1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812459924557 0.590977628691 7 0 9 8 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701690891934 0.702081364484 9 1 10 0 1230 3201 0132 0132 1 1 0 1 0 -1 1 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522805488599 0.825090831584 10 11 0 6 1230 0132 0132 2103 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814694020591 1.225319600397 12 1 11 9 0132 0132 1023 3012 0 1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689726835964 0.257805814266 8 7 1 4 0213 0213 0132 2103 0 1 1 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385143256413 0.847167181046 2 11 6 12 0132 1023 0213 2103 0 1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014822178409 0.565679510633 6 9 2 12 0213 1023 0132 1302 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.892770045521 0.894565558908 8 3 5 2 1023 3012 1230 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.044992461198 0.790104572786 11 4 12 3 3201 3012 3012 0132 1 1 1 0 0 1 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814694020591 1.225319600397 7 4 5 10 1023 0132 1023 2310 1 0 1 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676348353863 0.359982286229 5 10 8 7 0132 1230 2031 2103 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892770045521 0.894565558908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0101_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 24324079373/187678720*c_0110_6^9 + 360236791277/2439823360*c_0110_6^8 + 80973662167/2439823360*c_0110_6^7 - 358280318645/487964672*c_0110_6^6 + 8110707335/243982336*c_0110_6^5 + 129517660897/93839360*c_0110_6^4 - 678585086043/2439823360*c_0110_6^3 - 4787097796291/2439823360*c_0110_6^2 - 3666533131953/2439823360*c_0110_6 - 851593143139/2439823360, c_0011_0 - 1, c_0011_10 - 101309/161792*c_0110_6^9 + 133817/161792*c_0110_6^8 - 30461/161792*c_0110_6^7 - 509173/161792*c_0110_6^6 + 54903/80896*c_0110_6^5 + 421617/80896*c_0110_6^4 - 177639/161792*c_0110_6^3 - 1171063/161792*c_0110_6^2 - 1273445/161792*c_0110_6 - 413847/161792, c_0011_6 - 52065/40448*c_0110_6^9 + 149351/80896*c_0110_6^8 - 5829/40448*c_0110_6^7 - 590285/80896*c_0110_6^6 + 115077/40448*c_0110_6^5 + 256079/20224*c_0110_6^4 - 15471/2528*c_0110_6^3 - 1357265/80896*c_0110_6^2 - 457617/40448*c_0110_6 - 175649/80896, c_0011_8 - 1019395/647168*c_0110_6^9 + 1552983/647168*c_0110_6^8 - 501443/647168*c_0110_6^7 - 5348219/647168*c_0110_6^6 + 1128761/323584*c_0110_6^5 + 4455311/323584*c_0110_6^4 - 5152761/647168*c_0110_6^3 - 12270073/647168*c_0110_6^2 - 8656859/647168*c_0110_6 - 1744473/647168, c_0101_1 - 1, c_0101_10 + 53677/80896*c_0110_6^9 - 55017/40448*c_0110_6^8 + 74581/80896*c_0110_6^7 + 61745/20224*c_0110_6^6 - 61917/20224*c_0110_6^5 - 206629/40448*c_0110_6^4 + 487849/80896*c_0110_6^3 + 226219/40448*c_0110_6^2 + 118309/80896*c_0110_6 - 53885/40448, c_0101_11 - 744341/647168*c_0110_6^9 + 1071601/647168*c_0110_6^8 - 249173/647168*c_0110_6^7 - 3926605/647168*c_0110_6^6 + 641727/323584*c_0110_6^5 + 3620521/323584*c_0110_6^4 - 3286639/647168*c_0110_6^3 - 9035711/647168*c_0110_6^2 - 5072765/647168*c_0110_6 - 358751/647168, c_0101_12 - 173043/647168*c_0110_6^9 + 302591/647168*c_0110_6^8 - 100723/647168*c_0110_6^7 - 982323/647168*c_0110_6^6 + 319665/323584*c_0110_6^5 + 882207/323584*c_0110_6^4 - 1606329/647168*c_0110_6^3 - 1728913/647168*c_0110_6^2 - 706763/647168*c_0110_6 - 369/647168, c_0101_2 + 107211/323584*c_0110_6^9 - 18211/323584*c_0110_6^8 - 148949/323584*c_0110_6^7 + 563583/323584*c_0110_6^6 + 316579/161792*c_0110_6^5 - 659335/161792*c_0110_6^4 - 971879/323584*c_0110_6^3 + 2136205/323584*c_0110_6^2 + 2668323/323584*c_0110_6 + 1130285/323584, c_0101_3 - 163241/161792*c_0110_6^9 + 297287/161792*c_0110_6^8 - 169913/161792*c_0110_6^7 - 798591/161792*c_0110_6^6 + 309217/80896*c_0110_6^5 + 622869/80896*c_0110_6^4 - 1207375/161792*c_0110_6^3 - 1517337/161792*c_0110_6^2 - 804689/161792*c_0110_6 - 10457/161792, c_0101_5 - 754481/647168*c_0110_6^9 + 722525/647168*c_0110_6^8 + 438799/647168*c_0110_6^7 - 4355209/647168*c_0110_6^6 - 286061/323584*c_0110_6^5 + 4263861/323584*c_0110_6^4 - 493955/647168*c_0110_6^3 - 12175763/647168*c_0110_6^2 - 10842873/647168*c_0110_6 - 3268275/647168, c_0101_9 + 254293/323584*c_0110_6^9 - 136629/323584*c_0110_6^8 - 293451/323584*c_0110_6^7 + 1516329/323584*c_0110_6^6 + 386837/161792*c_0110_6^5 - 1555193/161792*c_0110_6^4 - 702921/323584*c_0110_6^3 + 4701403/323584*c_0110_6^2 + 4417661/323584*c_0110_6 + 1692859/323584, c_0110_6^10 - 10/13*c_0110_6^9 - 6/13*c_0110_6^8 + 68/13*c_0110_6^7 + 25/13*c_0110_6^6 - 124/13*c_0110_6^5 - 31/13*c_0110_6^4 + 180/13*c_0110_6^3 + 242/13*c_0110_6^2 + 126/13*c_0110_6 + 29/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB