Magma V2.19-8 Tue Aug 20 2013 23:30:39 on localhost [Seed = 1191256437] Type ? for help. Type -D to quit. Loading file "L12n720__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n720 geometric_solution 8.20902122 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 1 -1 0 0 0 0 -7 7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684320323364 1.172861041332 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 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 -1 1 0 0 0 0 1 -1 0 0 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101804395339 0.805201910950 6 0 7 3 0132 0132 3120 3120 1 1 0 1 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 1 0 0 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055447453521 0.536783845491 2 8 8 0 3120 0132 2031 0132 1 1 0 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 1 0 -1 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 0.628872869843 0.636077195841 5 6 0 8 0132 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 -2 0 0 2 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 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684320323364 1.172861041332 4 1 8 7 0132 0132 1023 3120 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055447453521 0.536783845491 2 4 1 7 0132 0132 0132 3201 1 1 1 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 1 -1 0 -1 0 0 1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101804395339 0.805201910950 5 6 2 1 3120 2310 3120 0132 1 1 1 1 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 6 -7 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 0.836913925334 0.511598496206 4 3 5 3 3012 0132 1023 1302 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 3 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684320323364 1.172861041332 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : negation(d['c_0011_3']), 's_2_8' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_8']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0110_8'], '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_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 20/657*c_0110_8^4 + 88/657*c_0110_8^3 - 374/219*c_0110_8^2 + 323/219*c_0110_8 - 1862/657, c_0011_0 - 1, c_0011_3 + 11/73*c_0110_8^4 - 83/73*c_0110_8^3 + 164/73*c_0110_8^2 - 135/73*c_0110_8 + 49/73, c_0011_7 + 3/73*c_0110_8^4 - 16/73*c_0110_8^3 - 15/73*c_0110_8^2 + 76/73*c_0110_8 - 53/73, c_0101_0 - 11/73*c_0110_8^4 + 83/73*c_0110_8^3 - 164/73*c_0110_8^2 + 208/73*c_0110_8 - 49/73, c_0101_1 - 1, c_0101_3 - 20/73*c_0110_8^4 + 131/73*c_0110_8^3 - 192/73*c_0110_8^2 + 272/73*c_0110_8 - 36/73, c_0101_8 - 11/73*c_0110_8^4 + 83/73*c_0110_8^3 - 164/73*c_0110_8^2 + 208/73*c_0110_8 - 49/73, c_0110_8^5 - 7*c_0110_8^4 + 12*c_0110_8^3 - 15*c_0110_8^2 + 5*c_0110_8 - 3, c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB