Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 357861392] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3463 geometric_solution 6.65757414 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 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 1 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 0.607735569359 1.342863323580 0 4 5 0 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169085247550 0.822403757459 5 0 6 3 1230 0132 0132 3201 0 0 0 0 0 1 -1 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 -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 0.065975836410 0.809159158283 6 2 4 0 1023 2310 1230 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 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 0.065975836410 0.809159158283 5 1 5 3 2103 0132 3201 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351889113738 0.755380256682 4 2 4 1 2310 3012 2103 0132 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 0 0 0.351889113738 0.755380256682 6 3 6 2 2310 1023 3201 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 0 -1 1 1 0 -1 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 -0.100101201400 1.227688927875 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : 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_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_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_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 65143/37504*c_0101_1*c_0101_2^9 + 380047/37504*c_0101_1*c_0101_2^8 - 592539/37504*c_0101_1*c_0101_2^7 - 211237/37504*c_0101_1*c_0101_2^6 + 167237/9376*c_0101_1*c_0101_2^5 + 1074261/37504*c_0101_1*c_0101_2^4 - 2307577/37504*c_0101_1*c_0101_2^3 + 771407/18752*c_0101_1*c_0101_2^2 - 385009/37504*c_0101_1*c_0101_2 - 215559/18752*c_0101_1, c_0011_0 - 1, c_0011_3 - 49/293*c_0101_1*c_0101_2^9 + 573/586*c_0101_1*c_0101_2^8 - 979/586*c_0101_1*c_0101_2^7 - 4/293*c_0101_1*c_0101_2^6 + 1011/586*c_0101_1*c_0101_2^5 + 482/293*c_0101_1*c_0101_2^4 - 1854/293*c_0101_1*c_0101_2^3 + 1496/293*c_0101_1*c_0101_2^2 - 729/586*c_0101_1*c_0101_2 - 191/293*c_0101_1, c_0011_5 + c_0101_1*c_0101_2 - c_0101_1, c_0101_0 + 91/586*c_0101_2^9 - 553/586*c_0101_2^8 + 465/293*c_0101_2^7 + 133/586*c_0101_2^6 - 438/293*c_0101_2^5 - 615/293*c_0101_2^4 + 1596/293*c_0101_2^3 - 3155/586*c_0101_2^2 + 621/293*c_0101_2 + 282/293, c_0101_1^2 - 7/586*c_0101_2^9 + 10/293*c_0101_2^8 - 49/586*c_0101_2^7 + 125/586*c_0101_2^6 + 135/586*c_0101_2^5 - 133/293*c_0101_2^4 - 258/293*c_0101_2^3 + 423/586*c_0101_2^2 - 73/586*c_0101_2 - 202/293, c_0101_2^10 - 6*c_0101_2^9 + 10*c_0101_2^8 + 2*c_0101_2^7 - 11*c_0101_2^6 - 15*c_0101_2^5 + 38*c_0101_2^4 - 29*c_0101_2^3 + 9*c_0101_2^2 + 7*c_0101_2 - 2, c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB