Magma V2.19-8 Tue Aug 20 2013 16:19:21 on localhost [Seed = 3069651889] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3457 geometric_solution 6.64784128 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 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 0.892383967190 1.371015896920 0 4 3 5 0132 0132 1302 0132 0 0 0 0 0 -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 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 0.225856582159 0.858684576413 6 0 6 3 0132 0132 1023 1302 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 0 1 -1 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 0.225856582159 0.858684576413 1 0 2 0 2031 2310 2031 0132 0 0 0 0 0 0 0 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 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 0.666527385031 0.512331320507 5 1 6 5 3120 0132 2031 1230 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 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 0.251004880669 0.579213742726 4 6 1 4 3012 3120 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251004880669 0.579213742726 2 5 2 4 0132 3120 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.774494870981 0.867656532702 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 14781/26200*c_0101_6^15 - 6987/26200*c_0101_6^13 - 8433/1310*c_0101_6^11 + 233324/3275*c_0101_6^9 - 5025673/26200*c_0101_6^7 + 1138403/5240*c_0101_6^5 - 530347/5240*c_0101_6^3 + 276683/26200*c_0101_6, c_0011_0 - 1, c_0011_3 + 373/5240*c_0101_6^14 + 139/1048*c_0101_6^12 + 247/262*c_0101_6^10 - 5097/655*c_0101_6^8 + 13229/1048*c_0101_6^6 - 4311/1048*c_0101_6^4 - 17393/5240*c_0101_6^2 + 4313/5240, c_0011_5 - 155/262*c_0101_6^15 + 109/1310*c_0101_6^13 - 835/131*c_0101_6^11 + 51902/655*c_0101_6^9 - 319569/1310*c_0101_6^7 + 432267/1310*c_0101_6^5 - 267977/1310*c_0101_6^3 + 56663/1310*c_0101_6, c_0101_0 + 1/4*c_0101_6^15 - 1/20*c_0101_6^13 + 13/5*c_0101_6^11 - 169/5*c_0101_6^9 + 2077/20*c_0101_6^7 - 539/4*c_0101_6^5 + 1511/20*c_0101_6^3 - 247/20*c_0101_6, c_0101_2 + 341/2620*c_0101_6^14 + 47/524*c_0101_6^12 + 984/655*c_0101_6^10 - 10601/655*c_0101_6^8 + 105953/2620*c_0101_6^6 - 111587/2620*c_0101_6^4 + 9631/524*c_0101_6^2 - 4087/2620, c_0101_3 + 1, c_0101_6^16 + 11*c_0101_6^12 - 132*c_0101_6^10 + 397*c_0101_6^8 - 526*c_0101_6^6 + 320*c_0101_6^4 - 68*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB