Magma V2.19-8 Tue Aug 20 2013 23:41:43 on localhost [Seed = 1124411368] Type ? for help. Type -D to quit. Loading file "L13n6570__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6570 geometric_solution 8.40386448 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 0 0 2 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.668241690337 0.686253921103 0 3 5 4 0132 0132 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212672046652 1.063786515710 4 4 0 6 3012 1023 0132 0132 1 1 1 1 0 1 0 -1 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 1 -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 0 0 0 0 0.593336462508 0.305745773069 6 1 7 7 3201 0132 0132 3120 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 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 0.384874313174 0.614987604697 2 8 1 2 1023 0132 0132 1230 1 1 1 1 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 -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 0 0 0.822055853707 0.864139581821 8 8 9 1 2031 1023 0132 0132 1 1 1 1 0 -1 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 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 2.021585832549 0.254180161594 9 9 2 3 2031 0132 0132 2310 1 1 0 1 0 -1 1 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543071863949 1.667115570137 3 8 9 3 3120 0321 1302 0132 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 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 0.813024496073 0.812841990033 5 4 5 7 1023 0132 1302 0321 1 1 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 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 0.362085255683 0.744185890499 7 6 6 5 2031 0132 1302 0132 1 1 1 0 0 1 0 -1 0 0 0 0 0 -1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152918112777 0.557926174059 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0101_1'], 's_2_8' : d['1'], 's_2_9' : 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_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_9' : d['c_0101_6'], 'c_1100_8' : d['c_0101_5'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_0'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_2'], 'c_1010_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(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_6'], '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' : d['c_0011_2'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_2'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 130483/10179*c_1001_3^4 - 145009/10179*c_1001_3^3 - 15377/351*c_1001_3^2 - 1605914/10179*c_1001_3 - 698444/10179, c_0011_0 - 1, c_0011_2 - 3/29*c_1001_3^4 + 5/29*c_1001_3^3 - c_1001_3^2 + 41/29*c_1001_3 - 31/29, c_0011_6 + 9/29*c_1001_3^4 - 15/29*c_1001_3^3 + 2*c_1001_3^2 - 36/29*c_1001_3 + 35/29, c_0011_7 - 9/29*c_1001_3^4 + 15/29*c_1001_3^3 - 2*c_1001_3^2 + 65/29*c_1001_3 - 35/29, c_0101_0 + 8/29*c_1001_3^4 - 23/29*c_1001_3^3 + 2*c_1001_3^2 - 61/29*c_1001_3 + 15/29, c_0101_1 + 11/29*c_1001_3^4 - 28/29*c_1001_3^3 + 3*c_1001_3^2 - 73/29*c_1001_3 + 46/29, c_0101_3 - 1, c_0101_5 - 14/29*c_1001_3^4 + 33/29*c_1001_3^3 - 4*c_1001_3^2 + 114/29*c_1001_3 - 77/29, c_0101_6 - 12/29*c_1001_3^4 + 20/29*c_1001_3^3 - 3*c_1001_3^2 + 77/29*c_1001_3 - 66/29, c_1001_3^5 - 2*c_1001_3^4 + 7*c_1001_3^3 - 4*c_1001_3^2 + 2*c_1001_3 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB