Magma V2.19-8 Tue Aug 20 2013 17:55:50 on localhost [Seed = 981175762] Type ? for help. Type -D to quit. Loading file "10_19__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_19 geometric_solution 9.84477130 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -7 0 7 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152196156263 0.613835211523 0 2 3 2 0132 2031 2103 3012 0 0 0 0 0 1 0 -1 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 -7 0 7 0 0 1 -1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983998992036 1.290423866773 1 0 1 4 1302 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 6 -6 7 -6 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983998992036 1.290423866773 1 5 6 0 2103 0132 0132 0132 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 -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 0.747847500992 0.943058496568 6 2 0 5 0132 0321 0132 0132 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 0 0 -1 1 0 0 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747847500992 0.943058496568 7 3 4 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0.844457906136 0.908340612347 4 9 8 3 0132 0132 0132 0132 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 0 1 0 0 1 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844457906136 0.908340612347 5 9 10 8 0132 1023 0132 3120 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 -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 0.722956140040 0.455295200665 7 10 5 6 3120 0213 0132 0132 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 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 0.042335904269 0.708352365725 7 6 10 10 1023 0132 0213 2310 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 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 0.483748113556 0.675150461084 9 9 8 7 3201 0213 0213 0132 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 -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 2.069461562855 0.844139089884 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 25 Groebner basis: [ t - 64830027/189728*c_1100_0^24 + 1082666/121*c_1100_0^23 - 5159273983/47432*c_1100_0^22 + 154713365601/189728*c_1100_0^21 - 200489399865/47432*c_1100_0^20 + 3057489330635/189728*c_1100_0^19 - 8917479324751/189728*c_1100_0^18 + 20472360244761/189728*c_1100_0^17 - 9467371900555/47432*c_1100_0^16 + 57635807297857/189728*c_1100_0^15 - 73562597537113/189728*c_1100_0^14 + 80030872963101/189728*c_1100_0^13 - 75145021281821/189728*c_1100_0^12 + 61436822616705/189728*c_1100_0^11 - 44020202597573/189728*c_1100_0^10 + 27766566239761/189728*c_1100_0^9 - 15447696357523/189728*c_1100_0^8 + 7573121868041/189728*c_1100_0^7 - 3259418047829/189728*c_1100_0^6 + 305341728459/47432*c_1100_0^5 - 391486584077/189728*c_1100_0^4 + 7500827457/13552*c_1100_0^3 - 11356365051/94864*c_1100_0^2 + 40147825/2156*c_1100_0 - 202789883/189728, c_0011_0 - 1, c_0011_10 + c_1100_0^10 - 10*c_1100_0^9 + 41*c_1100_0^8 - 90*c_1100_0^7 + 120*c_1100_0^6 - 112*c_1100_0^5 + 83*c_1100_0^4 - 46*c_1100_0^3 + 19*c_1100_0^2 - 6*c_1100_0 + 1, c_0011_3 + c_1100_0, c_0011_8 + c_1100_0^8 - 8*c_1100_0^7 + 25*c_1100_0^6 - 40*c_1100_0^5 + 39*c_1100_0^4 - 28*c_1100_0^3 + 14*c_1100_0^2 - 4*c_1100_0 + 1, c_0101_0 + c_1100_0^24 - 26*c_1100_0^23 + 315*c_1100_0^22 - 2364*c_1100_0^21 + 12331*c_1100_0^20 - 47594*c_1100_0^19 + 141470*c_1100_0^18 - 333296*c_1100_0^17 + 636789*c_1100_0^16 - 1006082*c_1100_0^15 + 1336782*c_1100_0^14 - 1514654*c_1100_0^13 + 1479014*c_1100_0^12 - 1253840*c_1100_0^11 + 927302*c_1100_0^10 - 599896*c_1100_0^9 + 339694*c_1100_0^8 - 168140*c_1100_0^7 + 72487*c_1100_0^6 - 27036*c_1100_0^5 + 8613*c_1100_0^4 - 2292*c_1100_0^3 + 488*c_1100_0^2 - 76*c_1100_0 + 7, c_0101_1 + c_1100_0^23 - 24*c_1100_0^22 + 266*c_1100_0^21 - 1808*c_1100_0^20 + 8448*c_1100_0^19 - 28868*c_1100_0^18 + 75064*c_1100_0^17 - 152936*c_1100_0^16 + 250132*c_1100_0^15 - 335436*c_1100_0^14 + 375424*c_1100_0^13 - 355142*c_1100_0^12 + 285910*c_1100_0^11 - 196246*c_1100_0^10 + 114508*c_1100_0^9 - 56220*c_1100_0^8 + 22683*c_1100_0^7 - 7130*c_1100_0^6 + 1486*c_1100_0^5 - 18*c_1100_0^4 - 148*c_1100_0^3 + 74*c_1100_0^2 - 22*c_1100_0 + 4, c_0101_5 + c_1100_0^21 - 22*c_1100_0^20 + 222*c_1100_0^19 - 1364*c_1100_0^18 + 5721*c_1100_0^17 - 17446*c_1100_0^16 + 40354*c_1100_0^15 - 73228*c_1100_0^14 + 107396*c_1100_0^13 - 130632*c_1100_0^12 + 134392*c_1100_0^11 - 118414*c_1100_0^10 + 90063*c_1100_0^9 - 59424*c_1100_0^8 + 34058*c_1100_0^7 - 16916*c_1100_0^6 + 7239*c_1100_0^5 - 2644*c_1100_0^4 + 806*c_1100_0^3 - 198*c_1100_0^2 + 37*c_1100_0 - 4, c_0101_7 - c_1100_0^19 + 20*c_1100_0^18 - 182*c_1100_0^17 + 1000*c_1100_0^16 - 3720*c_1100_0^15 + 9988*c_1100_0^14 - 20232*c_1100_0^13 + 32056*c_1100_0^12 - 40981*c_1100_0^11 + 43304*c_1100_0^10 - 38398*c_1100_0^9 + 28812*c_1100_0^8 - 18388*c_1100_0^7 + 9992*c_1100_0^6 - 4608*c_1100_0^5 + 1792*c_1100_0^4 - 581*c_1100_0^3 + 152*c_1100_0^2 - 30*c_1100_0 + 4, c_1001_0 - c_1100_0^23 + 24*c_1100_0^22 - 266*c_1100_0^21 + 1808*c_1100_0^20 - 8448*c_1100_0^19 + 28868*c_1100_0^18 - 75064*c_1100_0^17 + 152936*c_1100_0^16 - 250132*c_1100_0^15 + 335436*c_1100_0^14 - 375424*c_1100_0^13 + 355142*c_1100_0^12 - 285910*c_1100_0^11 + 196246*c_1100_0^10 - 114508*c_1100_0^9 + 56220*c_1100_0^8 - 22683*c_1100_0^7 + 7130*c_1100_0^6 - 1486*c_1100_0^5 + 18*c_1100_0^4 + 148*c_1100_0^3 - 74*c_1100_0^2 + 22*c_1100_0 - 4, c_1001_10 - c_1100_0^21 + 22*c_1100_0^20 - 222*c_1100_0^19 + 1364*c_1100_0^18 - 5721*c_1100_0^17 + 17446*c_1100_0^16 - 40354*c_1100_0^15 + 73228*c_1100_0^14 - 107396*c_1100_0^13 + 130632*c_1100_0^12 - 134392*c_1100_0^11 + 118414*c_1100_0^10 - 90063*c_1100_0^9 + 59424*c_1100_0^8 - 34058*c_1100_0^7 + 16916*c_1100_0^6 - 7239*c_1100_0^5 + 2644*c_1100_0^4 - 806*c_1100_0^3 + 198*c_1100_0^2 - 37*c_1100_0 + 4, c_1100_0^25 - 27*c_1100_0^24 + 340*c_1100_0^23 - 2655*c_1100_0^22 + 14429*c_1100_0^21 - 58117*c_1100_0^20 + 180616*c_1100_0^19 - 445898*c_1100_0^18 + 895021*c_1100_0^17 - 1489935*c_1100_0^16 + 2092732*c_1100_0^15 - 2516000*c_1100_0^14 + 2618244*c_1100_0^13 - 2377712*c_1100_0^12 + 1895232*c_1100_0^11 - 1330952*c_1100_0^10 + 825082*c_1100_0^9 - 451614*c_1100_0^8 + 217944*c_1100_0^7 - 92393*c_1100_0^6 + 34163*c_1100_0^5 - 10887*c_1100_0^4 + 2928*c_1100_0^3 - 638*c_1100_0^2 + 105*c_1100_0 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB