Magma V2.19-8 Tue Aug 20 2013 16:16:45 on localhost [Seed = 947496180] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1028 geometric_solution 4.91196040 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 1 -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 -0.132836421962 0.560789520458 0 3 4 2 0132 0132 0132 0321 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 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 0.990273770871 0.682504345827 4 1 0 3 1023 0321 0132 1023 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 -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 0.990273770871 0.682504345827 3 1 3 2 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070510921714 0.967241128749 5 2 5 1 0132 1023 1023 0132 0 0 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 0 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 1.296839371256 0.148986546743 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 0 0 -1 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 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 1.005841582749 0.304704516974 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 1 -1 0 0 -1 1 1 0 0 -1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883316550276 0.224681767866 ==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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0101_1, c_0101_3, c_0101_4, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 356/2625*c_0110_2^8 + 16/105*c_0110_2^7 + 989/2625*c_0110_2^6 + 1931/875*c_0110_2^5 - 9518/2625*c_0110_2^4 + 3541/375*c_0110_2^3 - 12728/875*c_0110_2^2 + 10077/875*c_0110_2 - 11358/875, c_0011_0 - 1, c_0011_2 - 136/675*c_0110_2^8 - 32/675*c_0110_2^7 - 184/135*c_0110_2^6 - 19/675*c_0110_2^5 - 1316/675*c_0110_2^4 + 772/675*c_0110_2^3 + 1552/675*c_0110_2^2 + 58/25*c_0110_2 + 104/25, c_0101_1 + 52/135*c_0110_2^8 - 64/135*c_0110_2^7 + 401/135*c_0110_2^6 - 551/135*c_0110_2^5 + 986/135*c_0110_2^4 - 1453/135*c_0110_2^3 + 863/135*c_0110_2^2 - 42/5*c_0110_2 + 2, c_0101_3 + 8/75*c_0110_2^8 - 4/25*c_0110_2^7 + 76/75*c_0110_2^6 - 34/25*c_0110_2^5 + 217/75*c_0110_2^4 - 56/15*c_0110_2^3 + 52/25*c_0110_2^2 - 14/5*c_0110_2 - 11/25, c_0101_4 - 64/675*c_0110_2^8 + 172/675*c_0110_2^7 - 142/135*c_0110_2^6 + 1514/675*c_0110_2^5 - 2579/675*c_0110_2^4 + 4123/675*c_0110_2^3 - 3512/675*c_0110_2^2 + 1123/225*c_0110_2 - 232/75, c_0101_6 - 116/675*c_0110_2^8 + 92/675*c_0110_2^7 - 913/675*c_0110_2^6 + 868/675*c_0110_2^5 - 2008/675*c_0110_2^4 + 2579/675*c_0110_2^3 - 964/675*c_0110_2^2 + 799/225*c_0110_2 - 2/5, c_0110_2^9 - c_0110_2^8 + 41/4*c_0110_2^7 - 11*c_0110_2^6 + 73/2*c_0110_2^5 - 175/4*c_0110_2^4 + 103/2*c_0110_2^3 - 75*c_0110_2^2 + 45/2*c_0110_2 - 189/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB