Magma V2.19-8 Tue Aug 20 2013 16:19:21 on localhost [Seed = 2648440986] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3455 geometric_solution 6.64685604 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 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 -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 0.236805145333 0.781170400689 0 3 2 4 0132 0132 1230 0132 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 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 0.836676330532 1.197692928552 5 0 4 1 0132 0132 0132 3012 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 1 -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 0 0 0.836676330532 1.197692928552 5 1 5 6 1023 0132 0132 0132 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 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 0.021559731927 0.757283243108 6 6 1 2 3201 1023 0132 0132 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 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 0.730110099066 0.717375870806 2 3 6 3 0132 1023 2310 0132 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 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 0.021559731927 0.757283243108 4 5 3 4 1023 3201 0132 2310 0 0 0 0 0 -1 1 0 -1 0 1 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 -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 0.459411542366 1.221130372504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_6'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 679/27*c_0101_6^7 - 205/2*c_0101_6^6 + 26791/54*c_0101_6^5 - 15194/27*c_0101_6^4 + 10603/54*c_0101_6^3 + 14087/108*c_0101_6^2 - 16795/108*c_0101_6 + 1475/27, c_0011_0 - 1, c_0011_4 + 2/9*c_0101_6^7 + 4/3*c_0101_6^6 - 22/9*c_0101_6^5 - 26/9*c_0101_6^4 + 23/9*c_0101_6^3 + 20/9*c_0101_6^2 - 4/9*c_0101_6 + 2/9, c_0101_0 - 4/9*c_0101_6^7 - 2*c_0101_6^6 + 74/9*c_0101_6^5 - 44/9*c_0101_6^4 - 28/9*c_0101_6^3 + 11/9*c_0101_6^2 - 1/9*c_0101_6 + 2/9, c_0101_1 - 20/9*c_0101_6^7 - 94/9*c_0101_6^6 + 344/9*c_0101_6^5 - 64/3*c_0101_6^4 - 86/9*c_0101_6^3 + 35/3*c_0101_6^2 - 44/9*c_0101_6 - 1/3, c_0101_2 + c_0101_6, c_0101_5 - 2/9*c_0101_6^7 - 2/3*c_0101_6^6 + 52/9*c_0101_6^5 - 70/9*c_0101_6^4 - 5/9*c_0101_6^3 + 31/9*c_0101_6^2 - 5/9*c_0101_6 + 4/9, c_0101_6^8 + 4*c_0101_6^7 - 20*c_0101_6^6 + 24*c_0101_6^5 - 21/2*c_0101_6^4 - 4*c_0101_6^3 + 8*c_0101_6^2 - 4*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3*c_0101_6^7 - 4041/22*c_0101_6^6 - 6033/22*c_0101_6^5 - 2144/11*c_0101_6^4 - 2168/11*c_0101_6^3 - 3251/22*c_0101_6^2 - 1149/11*c_0101_6 - 568/11, c_0011_0 - 1, c_0011_4 - 61/2*c_0101_6^7 - 359/22*c_0101_6^6 - 91/11*c_0101_6^5 - 255/22*c_0101_6^4 - 32/11*c_0101_6^3 - 30/11*c_0101_6^2 + 27/11*c_0101_6 + 91/22, c_0101_0 - 61/2*c_0101_6^7 - 359/22*c_0101_6^6 - 91/11*c_0101_6^5 - 255/22*c_0101_6^4 - 32/11*c_0101_6^3 - 30/11*c_0101_6^2 + 27/11*c_0101_6 + 91/22, c_0101_1 - 69/2*c_0101_6^7 - 295/22*c_0101_6^6 - 245/22*c_0101_6^5 - 265/22*c_0101_6^4 - 65/22*c_0101_6^3 - 48/11*c_0101_6^2 + 71/22*c_0101_6 + 42/11, c_0101_2 + c_0101_6, c_0101_5 + 91/2*c_0101_6^7 + 603/22*c_0101_6^6 + 139/11*c_0101_6^5 + 182/11*c_0101_6^4 + 109/22*c_0101_6^3 + 59/11*c_0101_6^2 - 41/11*c_0101_6 - 64/11, c_0101_6^8 + 14/11*c_0101_6^7 + 7/11*c_0101_6^6 + 6/11*c_0101_6^5 + 4/11*c_0101_6^4 + 2/11*c_0101_6^3 - 2/11*c_0101_6 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB