Magma V2.19-8 Tue Aug 20 2013 23:30:19 on localhost [Seed = 3667705077] Type ? for help. Type -D to quit. Loading file "L12a1847__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1847 geometric_solution 8.40386448 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 0 1 1 0 3201 0132 3201 2310 1 1 1 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 -3 4 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.730304215985 0.683093384194 0 0 3 2 2310 0132 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 3 -3 0 1 0 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066732905521 0.997810144815 4 5 1 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476172346418 0.709469960607 7 8 6 1 0132 0132 3201 0132 1 1 1 1 0 -1 0 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 -4 1 3 0 0 -1 1 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476172346418 0.709469960607 2 8 8 8 0132 1023 1230 1302 2 1 1 1 0 1 -1 0 0 0 1 -1 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 5 -6 1 0 0 4 -4 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694163774446 1.115852348118 7 2 7 7 1023 0132 2031 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 2 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 0.365722045438 0.812010211016 3 6 2 6 2310 1302 0132 2031 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728335643971 0.747967687114 3 5 5 5 0132 1023 1230 1302 0 1 1 1 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 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365722045438 0.812010211016 4 3 4 4 1023 0132 2031 3012 1 2 1 1 0 1 -1 0 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 -5 0 -1 6 4 0 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694163774446 1.115852348118 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_8' : negation(d['c_0101_8']), 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0101_4']), 's_3_1' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_2']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : d['c_0101_8'], 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : negation(d['c_0101_0']), '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 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 24974704901127/159807369013376*c_0101_4^5 + 145686982927449/159807369013376*c_0101_4^4 - 1173107746193041/159807369013376*c_0101_4^3 + 196115961940267/19975921126672*c_0101_4^2 + 461431744812579/159807369013376*c_0101_4 - 7365188806424529/159807369013376, c_0011_0 - 1, c_0011_2 + 63412/10612033*c_0101_4^5 + 435864/10612033*c_0101_4^4 - 2513454/10612033*c_0101_4^3 + 1475510/10612033*c_0101_4^2 + 10558208/10612033*c_0101_4 - 9320216/10612033, c_0011_6 - 44088/10612033*c_0101_4^5 - 183217/10612033*c_0101_4^4 + 2088906/10612033*c_0101_4^3 - 9349214/10612033*c_0101_4^2 + 15615081/10612033*c_0101_4 + 10143637/10612033, c_0101_0 - 63412/10612033*c_0101_4^5 - 435864/10612033*c_0101_4^4 + 2513454/10612033*c_0101_4^3 - 1475510/10612033*c_0101_4^2 + 53825/10612033*c_0101_4 + 9320216/10612033, c_0101_1 + 16403/10612033*c_0101_4^5 - 21134/10612033*c_0101_4^4 - 1416964/10612033*c_0101_4^3 + 6924747/10612033*c_0101_4^2 - 3353738/10612033*c_0101_4 - 3658658/10612033, c_0101_3 - 47009/10612033*c_0101_4^5 - 456998/10612033*c_0101_4^4 + 1096490/10612033*c_0101_4^3 + 5449237/10612033*c_0101_4^2 - 13911946/10612033*c_0101_4 + 5661558/10612033, c_0101_4^6 + 6*c_0101_4^5 - 46*c_0101_4^4 + 55*c_0101_4^3 + 29*c_0101_4^2 - 292*c_0101_4 - 49, c_0101_5 - 1, c_0101_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB