Magma V2.19-8 Tue Aug 20 2013 17:55:00 on localhost [Seed = 1814944728] Type ? for help. Type -D to quit. Loading file "8^2_3__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 8^2_3 geometric_solution 6.94755545 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 1 2 3 0132 2103 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 -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 1 0 -1 1 0 -1 0 -3 0 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302847817833 0.888611912432 0 0 4 3 0132 2103 0132 3120 0 1 0 0 0 0 1 -1 0 0 0 0 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 2 -2 -1 0 1 0 3 -1 0 -2 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363587748860 0.226784556177 3 4 5 0 3120 2103 0132 0132 0 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 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505780179936 0.319381825778 1 6 0 2 3120 0132 0132 3120 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 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 2 0 0 -2 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757847268535 0.723626855801 7 2 7 1 0132 2103 3120 0132 0 1 0 0 0 1 0 -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 2 0 -2 4 0 -3 -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 -0.013088404674 0.809487631212 6 7 6 2 0132 3120 3120 0132 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 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710195742182 0.575966580844 5 3 5 7 0132 0132 3120 2103 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 0 0 1 -1 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 0.710195742182 0.575966580844 4 5 4 6 0132 3120 3120 2103 0 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 0 0 0 0 0 0 0 0 -4 0 3 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 -0.013088404674 0.809487631212 ==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_7' : 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_2_7' : d['1'], 's_1_7' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0101_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_2']), 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_4'], '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_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_4'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 2015/3*c_0101_4^4 - 3433/3*c_0101_4^3 + 4882/3*c_0101_4^2 - 3596/3*c_0101_4 + 884/3, c_0011_0 - 1, c_0011_2 - 35/3*c_0101_4^4 + 22/3*c_0101_4^3 - 14*c_0101_4^2 + 1/3*c_0101_4 + 4, c_0011_3 - 5*c_0101_4^4 + 8/3*c_0101_4^3 - 22/3*c_0101_4^2 + 5/3, c_0011_4 - 15*c_0101_4^4 + 8*c_0101_4^3 - 17*c_0101_4^2 - c_0101_4 + 5, c_0101_0 - 1, c_0101_1 - 10/3*c_0101_4^4 + 7/3*c_0101_4^3 - 10/3*c_0101_4^2 - 1/3*c_0101_4 + 5/3, c_0101_2 + 25/3*c_0101_4^4 - 5*c_0101_4^3 + 32/3*c_0101_4^2 + 1/3*c_0101_4 - 10/3, c_0101_4^5 - 6/5*c_0101_4^4 + 8/5*c_0101_4^3 - 3/5*c_0101_4^2 - 2/5*c_0101_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB