Magma V2.19-8 Tue Aug 20 2013 23:29:52 on localhost [Seed = 778586215] Type ? for help. Type -D to quit. Loading file "L10a117__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a117 geometric_solution 8.27477528 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 1 -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 1 -4 3 -3 0 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 0.171586616989 1.356906591449 2 0 4 3 2310 0132 0132 0132 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 0 1 1 0 -1 0 -3 0 0 3 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142141323593 0.663095067262 4 5 1 0 1023 0132 3201 0132 0 0 0 1 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 0 0 0 0 0 0 -4 4 0 0 3 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142141323593 0.663095067262 4 6 1 7 0132 0132 0132 0132 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376230774375 0.626396896023 3 2 5 1 0132 1023 0132 0132 0 1 0 1 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 -1 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411648454652 0.923824780232 8 2 6 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 3 0 -4 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 0.376230774375 0.626396896023 8 3 7 5 1023 0132 0132 0132 0 1 0 1 0 0 0 0 1 0 0 -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 0 0 0 -4 0 0 4 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.107074092502 1.443174892659 8 8 3 6 2103 2310 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 -3 0 3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181444123510 0.881537188914 5 6 7 7 0132 1023 2103 3201 1 1 0 1 0 -1 0 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 4 0 -4 -3 0 0 3 0 1 0 -1 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181444123510 0.881537188914 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0011_7'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : d['1'], 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : d['c_0101_5'], 's_3_1' : 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' : 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_1_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_4'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_1'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_5']})} 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_2, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 11207/793*c_1100_1^8 + 5397/793*c_1100_1^7 + 10880/793*c_1100_1^6 + 30748/793*c_1100_1^5 - 4828/793*c_1100_1^4 + 49149/793*c_1100_1^3 - 1772/61*c_1100_1^2 + 16979/793*c_1100_1 + 64/793, c_0011_0 - 1, c_0011_2 - c_1100_1, c_0011_7 - 17/61*c_1100_1^8 + 32/61*c_1100_1^7 + 39/61*c_1100_1^6 - 4/61*c_1100_1^5 - 113/61*c_1100_1^4 + 17/61*c_1100_1^3 - 83/61*c_1100_1^2 - 21/61*c_1100_1 - 3/61, c_0101_0 + 45/61*c_1100_1^8 - 56/61*c_1100_1^7 - 53/61*c_1100_1^6 - 54/61*c_1100_1^5 + 152/61*c_1100_1^4 - 167/61*c_1100_1^3 + 130/61*c_1100_1^2 - 70/61*c_1100_1 - 10/61, c_0101_1 - 1, c_0101_4 - 56/61*c_1100_1^8 + 48/61*c_1100_1^7 + 89/61*c_1100_1^6 + 116/61*c_1100_1^5 - 139/61*c_1100_1^4 + 117/61*c_1100_1^3 - 155/61*c_1100_1^2 - 1/61*c_1100_1 + 26/61, c_0101_5 - 8/61*c_1100_1^8 + 33/61*c_1100_1^7 + 4/61*c_1100_1^6 - 27/61*c_1100_1^5 - 107/61*c_1100_1^4 + 69/61*c_1100_1^3 - 57/61*c_1100_1^2 + 26/61*c_1100_1 - 5/61, c_1001_0 + 45/61*c_1100_1^8 - 56/61*c_1100_1^7 - 53/61*c_1100_1^6 - 54/61*c_1100_1^5 + 152/61*c_1100_1^4 - 167/61*c_1100_1^3 + 130/61*c_1100_1^2 - 9/61*c_1100_1 - 10/61, c_1100_1^9 - c_1100_1^8 - c_1100_1^7 - 2*c_1100_1^6 + 2*c_1100_1^5 - 4*c_1100_1^4 + 4*c_1100_1^3 - c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB