Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 273779729] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s572 geometric_solution 5.03276618 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2103 0132 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 1 -1 -1 0 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 -0.392979820397 1.068303938448 0 2 4 3 0132 1302 0132 0321 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 0 0 0 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 0.059041839966 1.414968343028 0 0 4 1 2103 0132 0321 2031 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 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 -0.148727791467 0.477830945642 4 1 0 5 0321 0321 0132 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 1 -1 1 0 -1 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 0.660966118887 0.452977579247 3 5 2 1 0321 3120 0321 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029438178820 0.705501236601 5 4 3 5 3201 3120 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0.458345899462 0.498598488330 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1001_4'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_1001_4']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0011_5, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2098952/10220385*c_1001_4^5 + 11105252/10220385*c_1001_4^4 - 11933564/10220385*c_1001_4^3 + 12295408/10220385*c_1001_4^2 - 8159756/3406795*c_1001_4 + 75743294/10220385, c_0011_0 - 1, c_0011_3 - 1100/35861*c_1001_4^5 - 7016/35861*c_1001_4^4 - 1152/35861*c_1001_4^3 - 3818/35861*c_1001_4^2 + 19097/35861*c_1001_4 - 29262/35861, c_0011_4 + 292/35861*c_1001_4^5 + 2530/35861*c_1001_4^4 + 3926/35861*c_1001_4^3 + 1114/35861*c_1001_4^2 + 20400/35861*c_1001_4 + 21234/35861, c_0011_5 - 704/35861*c_1001_4^5 - 3648/35861*c_1001_4^4 + 3316/35861*c_1001_4^3 - 14656/35861*c_1001_4^2 + 2839/35861*c_1001_4 - 5594/35861, c_1001_2 + 120/35861*c_1001_4^5 - 1412/35861*c_1001_4^4 - 11168/35861*c_1001_4^3 + 12428/35861*c_1001_4^2 - 7778/35861*c_1001_4 + 34848/35861, c_1001_4^6 + 6*c_1001_4^5 - 2*c_1001_4^4 + 3/2*c_1001_4^3 - 13/2*c_1001_4^2 + 59/2*c_1001_4 + 95/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB