Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 4004475587] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0002 geometric_solution 3.46546522 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 5.136509581855 0.896117444255 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 1 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 -1 1 0 -1 0 1 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 -0.436303902696 0.037773604624 0 3 3 0 3201 0132 3201 0132 0 0 0 0 0 0 0 0 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 1 0 -1 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 -0.198721105902 0.094925735051 2 2 4 4 2310 0132 0132 2310 0 0 0 0 0 0 0 0 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 -1 1 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 0 0 0 2.976655100740 2.603094582305 3 5 6 3 3201 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.182794580604 0.436913425534 6 4 6 6 2310 0132 3201 2031 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 -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 -0.039249399711 1.061074937093 5 5 5 4 2310 1302 3201 0132 0 0 0 0 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 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 -0.039249399711 1.061074937093 ==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' : negation(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' : negation(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_4'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 35604/6991*c_0101_3^8 + 310034/20973*c_0101_3^7 - 764132/20973*c_0101_3^6 + 916856/20973*c_0101_3^5 + 153808/6991*c_0101_3^4 - 1722182/20973*c_0101_3^3 + 920341/20973*c_0101_3^2 + 83105/20973*c_0101_3 - 47510/20973, c_0011_0 - 1, c_0011_2 - 3312/6991*c_0101_3^8 + 1376/6991*c_0101_3^7 - 6352/6991*c_0101_3^6 - 20128/6991*c_0101_3^5 + 53815/6991*c_0101_3^4 - 6144/6991*c_0101_3^3 - 47442/6991*c_0101_3^2 + 31408/6991*c_0101_3 - 4779/6991, c_0011_4 + 2848/6991*c_0101_3^8 - 8208/6991*c_0101_3^7 + 17080/6991*c_0101_3^6 - 17478/6991*c_0101_3^5 - 29423/6991*c_0101_3^4 + 58273/6991*c_0101_3^3 + 268/6991*c_0101_3^2 - 29811/6991*c_0101_3 + 7453/6991, c_0011_6 - 3320/6991*c_0101_3^8 + 7526/6991*c_0101_3^7 - 16533/6991*c_0101_3^6 + 12009/6991*c_0101_3^5 + 38325/6991*c_0101_3^4 - 44660/6991*c_0101_3^3 - 12095/6991*c_0101_3^2 + 24324/6991*c_0101_3 - 1599/6991, c_0101_0 + 272/6991*c_0101_3^8 + 630/6991*c_0101_3^7 + 3595/6991*c_0101_3^6 - 2062/6991*c_0101_3^5 + 16317/6991*c_0101_3^4 - 18746/6991*c_0101_3^3 - 20319/6991*c_0101_3^2 + 24135/6991*c_0101_3 - 3255/6991, c_0101_1 - 5076/6991*c_0101_3^8 + 8188/6991*c_0101_3^7 - 24629/6991*c_0101_3^6 + 8666/6991*c_0101_3^5 + 42887/6991*c_0101_3^4 - 39812/6991*c_0101_3^3 - 2952/6991*c_0101_3^2 + 14397/6991*c_0101_3 - 9680/6991, c_0101_3^9 - 3/2*c_0101_3^8 + 4*c_0101_3^7 - 12*c_0101_3^5 + 17/2*c_0101_3^4 + 13/2*c_0101_3^3 - 7*c_0101_3^2 + 3/2*c_0101_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB