Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 3566553276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s839 geometric_solution 5.42357119 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 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 0.884285361857 1.044222301116 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 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 0.747152296781 0.708564500495 3 0 4 5 2310 0132 3201 2310 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 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 0.747152296781 0.708564500495 3 1 2 3 3201 0132 3201 2310 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 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 -0.306267364584 0.771653859368 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760628507482 0.420217282907 2 5 5 1 3201 1230 3012 0132 0 0 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 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 0.718517260167 0.587001006533 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_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_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3366/7*c_0101_3^9 - 7556*c_0101_3^8 - 5364*c_0101_3^7 + 20161*c_0101_3^6 + 34173/7*c_0101_3^5 - 125208/7*c_0101_3^4 - 2966/7*c_0101_3^3 + 6236*c_0101_3^2 - 1741/7*c_0101_3 - 5342/7, c_0011_0 - 1, c_0011_4 - 22*c_0101_3^9 - 344*c_0101_3^8 - 221*c_0101_3^7 + 906*c_0101_3^6 + 136*c_0101_3^5 - 743*c_0101_3^4 + 38*c_0101_3^3 + 226*c_0101_3^2 - 18*c_0101_3 - 24, c_0101_0 - 8*c_0101_3^9 - 127*c_0101_3^8 - 112*c_0101_3^7 + 281*c_0101_3^6 + 88*c_0101_3^5 - 212*c_0101_3^4 - 3*c_0101_3^3 + 55*c_0101_3^2 - 4*c_0101_3 - 4, c_0101_1 - 8*c_0101_3^9 - 125*c_0101_3^8 - 76*c_0101_3^7 + 377*c_0101_3^6 + 86*c_0101_3^5 - 371*c_0101_3^4 - 14*c_0101_3^3 + 146*c_0101_3^2 - 4*c_0101_3 - 20, c_0101_2 - c_0101_3^9 - 15*c_0101_3^8 + 49*c_0101_3^6 - 20*c_0101_3^5 - 42*c_0101_3^4 + 25*c_0101_3^3 + 12*c_0101_3^2 - 8*c_0101_3 - 1, c_0101_3^10 + 15*c_0101_3^9 - 49*c_0101_3^7 + 20*c_0101_3^6 + 42*c_0101_3^5 - 25*c_0101_3^4 - 12*c_0101_3^3 + 9*c_0101_3^2 + c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB