Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 2345277112] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2684 geometric_solution 5.94392677 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 1 0 0 -1 0 1 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980357226675 0.852647954504 0 2 4 3 0132 0213 0213 2031 0 0 0 1 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 1 -1 0 0 0 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 0.419257093232 0.505090632348 4 0 1 5 0213 0132 0213 0132 0 0 0 1 0 1 0 -1 0 0 0 0 1 -1 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 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 0.577151957218 0.482627297161 3 1 3 0 2031 1302 1302 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577151957218 0.482627297161 2 1 0 5 0213 0213 0132 1023 0 0 0 1 0 1 -1 0 -1 0 0 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 -1 0 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 0.577151957218 0.482627297161 6 6 2 4 0132 3201 0132 1023 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 -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 0.413899250502 1.111831301273 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.753981401059 0.523848366095 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : 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' : d['1'], 's_2_6' : 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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), '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_6']), 'c_1001_4' : d['c_1001_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_1']})} 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_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 17/11268*c_1001_1^9 - 161/22536*c_1001_1^8 - 103/5634*c_1001_1^7 + 719/22536*c_1001_1^6 + 71/2504*c_1001_1^5 - 79/939*c_1001_1^4 - 149/1252*c_1001_1^3 + 77/313*c_1001_1^2 - 2272/2817*c_1001_1 + 2912/2817, c_0011_0 - 1, c_0011_3 + 623/60096*c_1001_1^9 + 5/60096*c_1001_1^8 - 2081/60096*c_1001_1^7 + 1409/30048*c_1001_1^6 + 285/20032*c_1001_1^5 + 183/1252*c_1001_1^4 - 867/2504*c_1001_1^3 - 361/2504*c_1001_1^2 + 671/3756*c_1001_1 - 635/1878, c_0011_5 - 691/10016*c_1001_1^9 + 1/2504*c_1001_1^8 + 983/5008*c_1001_1^7 - 5195/10016*c_1001_1^6 - 255/10016*c_1001_1^5 - 8435/10016*c_1001_1^4 + 4009/5008*c_1001_1^3 + 959/2504*c_1001_1^2 - 295/313*c_1001_1 + 2427/626, c_0101_0 - 1, c_0101_5 + 635/60096*c_1001_1^9 + 611/60096*c_1001_1^8 - 1895/60096*c_1001_1^7 + 547/15024*c_1001_1^6 + 397/20032*c_1001_1^5 + 1555/10016*c_1001_1^4 + 97/2504*c_1001_1^3 - 867/1252*c_1001_1^2 - 112/939*c_1001_1 - 2477/1878, c_0101_6 + 623/60096*c_1001_1^9 + 5/60096*c_1001_1^8 - 2081/60096*c_1001_1^7 + 1409/30048*c_1001_1^6 + 285/20032*c_1001_1^5 + 183/1252*c_1001_1^4 - 867/2504*c_1001_1^3 - 361/2504*c_1001_1^2 - 3085/3756*c_1001_1 - 635/1878, c_1001_1^10 - c_1001_1^9 - 3*c_1001_1^8 + 10*c_1001_1^7 - 7*c_1001_1^6 + 12*c_1001_1^5 - 24*c_1001_1^4 + 16*c_1001_1^2 - 64*c_1001_1 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB