Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 1814950251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3481 geometric_solution 6.72207645 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.431234850737 0.796587385842 3 2 4 0 0132 3012 0132 0132 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 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 0.914991460459 1.024902676838 1 5 0 4 1230 0132 0132 3201 0 0 0 0 0 1 -2 1 1 0 0 -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 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 0.914991460459 1.024902676838 1 6 5 5 0132 0132 1230 3012 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 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 0.854449733925 0.750771199343 6 2 6 1 3201 2310 1023 0132 0 0 0 0 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 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 0.157897064108 0.811905856337 6 2 3 3 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 -1 0 0 1 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 0 -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 0.854449733925 0.750771199343 5 3 4 4 0132 0132 1023 2310 0 0 0 0 0 -1 0 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 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 0.615424550300 0.593355960685 ==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' : 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_4'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 55*c_0101_6^5 + 72*c_0101_6^4 + 146*c_0101_6^3 + 112*c_0101_6^2 - 91*c_0101_6 - 140, c_0011_0 - 1, c_0011_1 + c_0101_6^5 - 2*c_0101_6^4 - c_0101_6^3 - c_0101_6^2 + c_0101_6 + 1, c_0011_4 - c_0101_6^5 + 2*c_0101_6^4 + c_0101_6^3 + 2*c_0101_6^2 - 2*c_0101_6 - 2, c_0101_0 - 2*c_0101_6^5 + 3*c_0101_6^4 + 5*c_0101_6^3 + 3*c_0101_6^2 - 5*c_0101_6 - 4, c_0101_1 - c_0101_6, c_0101_4 - c_0101_6^2 + c_0101_6 + 1, c_0101_6^6 - c_0101_6^5 - 3*c_0101_6^4 - 3*c_0101_6^3 + c_0101_6^2 + 3*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6495116/12715*c_0101_6^7 + 1549662/12715*c_0101_6^6 + 32808599/12715*c_0101_6^5 - 37627889/12715*c_0101_6^4 + 23308447/12715*c_0101_6^3 - 65575042/12715*c_0101_6^2 - 93872586/12715*c_0101_6 - 28384593/12715, c_0011_0 - 1, c_0011_1 + 850/2543*c_0101_6^7 - 295/2543*c_0101_6^6 + 4128/2543*c_0101_6^5 - 7622/2543*c_0101_6^4 + 5908/2543*c_0101_6^3 - 11191/2543*c_0101_6^2 - 5613/2543*c_0101_6 + 1113/2543, c_0011_4 + 376/2543*c_0101_6^7 - 310/2543*c_0101_6^6 + 1838/2543*c_0101_6^5 - 3958/2543*c_0101_6^4 + 3493/2543*c_0101_6^3 - 5812/2543*c_0101_6^2 - 3183/2543*c_0101_6 + 1342/2543, c_0101_0 + 295/2543*c_0101_6^7 + 122/2543*c_0101_6^6 + 1672/2543*c_0101_6^5 - 1658/2543*c_0101_6^4 + 1841/2543*c_0101_6^3 - 4587/2543*c_0101_6^2 - 1963/2543*c_0101_6 - 1693/2543, c_0101_1 - c_0101_6, c_0101_4 + 376/2543*c_0101_6^7 - 310/2543*c_0101_6^6 + 1838/2543*c_0101_6^5 - 3958/2543*c_0101_6^4 + 3493/2543*c_0101_6^3 - 5812/2543*c_0101_6^2 - 3183/2543*c_0101_6 + 1342/2543, c_0101_6^8 + 5*c_0101_6^6 - 7*c_0101_6^5 + 5*c_0101_6^4 - 11*c_0101_6^3 - 12*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB