Magma V2.19-8 Wed Aug 21 2013 01:05:14 on localhost [Seed = 1578649293] Type ? for help. Type -D to quit. Loading file "L14n25321__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25321 geometric_solution 11.74046324 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 -1 0 1 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 0.660456795007 1.118971904672 0 4 0 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 1 -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 0.608803953172 0.662779744153 6 7 3 0 0132 0132 1230 0132 0 0 1 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 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 0.915515740276 0.761294715555 7 8 0 2 3201 0132 0132 3012 0 0 0 1 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 0 -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 -0.247208806280 1.527238659545 9 1 7 10 0132 0132 1023 0132 1 0 1 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 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338700817555 0.495300361866 6 11 1 9 2103 0132 0132 2103 1 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 0 0 0 0 0 0 0 -1 0 1 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 0.797528647799 0.846892109270 2 12 5 12 0132 0132 2103 2310 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 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 0.911927983531 0.533058555337 11 2 4 3 3012 0132 1023 2310 0 1 0 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 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 0.491472240367 1.895415888214 10 3 12 11 3201 0132 1023 1302 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 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 0.388161340584 0.392667085844 4 10 11 5 0132 2103 2103 2103 1 0 1 1 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 -1 1 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 0.788401380422 0.652366936982 12 9 4 8 3120 2103 0132 2310 1 0 1 1 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 1 0 -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 0.097631500461 0.991571213081 9 5 8 7 2103 0132 2031 1230 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896892624727 0.674584462814 6 6 8 10 3201 0132 1023 3120 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 0 0 0 0 0 0 0 0 -1 0 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 0.741167148945 0.363106011091 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0110_3'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0110_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_3']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_8']), 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_12'])})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_7, c_0101_8, c_0110_3, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 38552555765/530384*c_0110_8^9 - 63574759565/1060768*c_0110_8^8 + 10084761497/397788*c_0110_8^7 + 1094208660007/6364608*c_0110_8^6 - 11068719685/66298*c_0110_8^5 - 272070057457/3182304*c_0110_8^4 + 186238133691/1060768*c_0110_8^3 + 77919486753/2121536*c_0110_8^2 - 62826933833/2121536*c_0110_8 + 18013814647/6364608, c_0011_0 - 1, c_0011_10 + 62535/33149*c_0110_8^9 - 274855/66298*c_0110_8^8 + 108314/33149*c_0110_8^7 + 512575/132596*c_0110_8^6 - 440425/33149*c_0110_8^5 + 610811/66298*c_0110_8^4 + 184995/66298*c_0110_8^3 - 1067993/132596*c_0110_8^2 + 446529/132596*c_0110_8 - 10041/132596, c_0011_12 + 33757285/2353579*c_0110_8^9 - 127687285/4707158*c_0110_8^8 + 62397494/2353579*c_0110_8^7 + 146309781/9414316*c_0110_8^6 - 134820797/2353579*c_0110_8^5 + 146117255/4707158*c_0110_8^4 + 114215113/4707158*c_0110_8^3 - 199393755/9414316*c_0110_8^2 + 12084131/9414316*c_0110_8 + 19916661/9414316, c_0011_3 - 178599475/4707158*c_0110_8^9 + 529649355/9414316*c_0110_8^8 - 88342180/2353579*c_0110_8^7 - 1468089771/18828632*c_0110_8^6 + 339284543/2353579*c_0110_8^5 - 198488735/9414316*c_0110_8^4 - 1052120733/9414316*c_0110_8^3 + 805578745/18828632*c_0110_8^2 + 421792615/18828632*c_0110_8 - 235582707/18828632, c_0101_0 - 1, c_0101_1 - 114497135/4707158*c_0110_8^9 + 316259655/9414316*c_0110_8^8 - 39213092/2353579*c_0110_8^7 - 1101039575/18828632*c_0110_8^6 + 218451179/2353579*c_0110_8^5 + 15701953/9414316*c_0110_8^4 - 826478453/9414316*c_0110_8^3 + 504723709/18828632*c_0110_8^2 + 434125955/18828632*c_0110_8 - 213249183/18828632, c_0101_10 - 33757285/2353579*c_0110_8^9 + 127687285/4707158*c_0110_8^8 - 62397494/2353579*c_0110_8^7 - 146309781/9414316*c_0110_8^6 + 134820797/2353579*c_0110_8^5 - 146117255/4707158*c_0110_8^4 - 114215113/4707158*c_0110_8^3 + 199393755/9414316*c_0110_8^2 - 12084131/9414316*c_0110_8 - 19916661/9414316, c_0101_12 + 3745176025/167104109*c_0110_8^9 - 10185641745/334208218*c_0110_8^8 + 2348857260/167104109*c_0110_8^7 + 36742653889/668416436*c_0110_8^6 - 14200976526/167104109*c_0110_8^5 - 1492948423/334208218*c_0110_8^4 + 27712793045/334208218*c_0110_8^3 - 15338095763/668416436*c_0110_8^2 - 14748274021/668416436*c_0110_8 + 6707669629/668416436, c_0101_4 - 84669475/4707158*c_0110_8^9 + 146211035/9414316*c_0110_8^8 + 13431760/2353579*c_0110_8^7 - 1190639867/18828632*c_0110_8^6 + 148283761/2353579*c_0110_8^5 + 324414625/9414316*c_0110_8^4 - 820089005/9414316*c_0110_8^3 + 193582177/18828632*c_0110_8^2 + 522328063/18828632*c_0110_8 - 209252299/18828632, c_0101_7 + 50205/33149*c_0110_8^9 - 275685/66298*c_0110_8^8 + 182612/33149*c_0110_8^7 + 18589/132596*c_0110_8^6 - 331474/33149*c_0110_8^5 + 931055/66298*c_0110_8^4 - 269417/66298*c_0110_8^3 - 661179/132596*c_0110_8^2 + 927419/132596*c_0110_8 - 213523/132596, c_0101_8 - 35356820/2353579*c_0110_8^9 + 99592070/2353579*c_0110_8^8 - 135075418/2353579*c_0110_8^7 + 43956201/2353579*c_0110_8^6 + 149169113/2353579*c_0110_8^5 - 199759633/2353579*c_0110_8^4 + 44230897/2353579*c_0110_8^3 + 70335778/2353579*c_0110_8^2 - 50017435/2353579*c_0110_8 + 10724270/2353579, c_0110_3 - 32112937155/167104109*c_0110_8^9 + 87651871795/334208218*c_0110_8^8 - 22854814722/167104109*c_0110_8^7 - 302901331651/668416436*c_0110_8^6 + 120311039675/167104109*c_0110_8^5 + 2131499/334208218*c_0110_8^4 - 219362501415/334208218*c_0110_8^3 + 129540396805/668416436*c_0110_8^2 + 107081349523/668416436*c_0110_8 - 50741927227/668416436, c_0110_8^10 - 3/2*c_0110_8^9 + 9/10*c_0110_8^8 + 9/4*c_0110_8^7 - 81/20*c_0110_8^6 + 1/2*c_0110_8^5 + 17/5*c_0110_8^4 - 29/20*c_0110_8^3 - 7/10*c_0110_8^2 + 1/2*c_0110_8 - 1/20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.670 seconds, Total memory usage: 32.09MB