Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 2176851769] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m191 geometric_solution 4.00684790 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 1230 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 -1 0 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 0.225293216960 0.829545141389 0 4 3 4 0132 0132 0321 1023 0 0 0 0 0 0 -1 1 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 -1 1 1 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 0.540104185084 1.065574917417 3 0 2 2 1230 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.695097369424 1.122672485235 0 2 1 0 3012 3012 0321 0132 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 0 1 -1 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 0.601333010388 0.643898940921 4 1 4 1 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479728655291 0.149437252676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_0'], '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_4' : d['c_0110_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 3*c_0110_4^10 - 13/2*c_0110_4^9 - 21*c_0110_4^8 + 89/2*c_0110_4^7 + 51*c_0110_4^6 - 105*c_0110_4^5 - 73/2*c_0110_4^4 + 165/2*c_0110_4^3 - 17*c_0110_4^2 + 9*c_0110_4 + 13/2, c_0011_0 - 1, c_0011_3 - c_0110_4^3 + 2*c_0110_4, c_0101_0 - c_0110_4^2 + 1, c_0101_2 + c_0110_4^10 - 8*c_0110_4^8 + 22*c_0110_4^6 - 3*c_0110_4^5 - 24*c_0110_4^4 + 9*c_0110_4^3 + 6*c_0110_4^2 - 6*c_0110_4 + 2, c_0110_4^11 - c_0110_4^10 - 8*c_0110_4^9 + 7*c_0110_4^8 + 23*c_0110_4^7 - 19*c_0110_4^6 - 26*c_0110_4^5 + 22*c_0110_4^4 + 5*c_0110_4^3 - 7*c_0110_4^2 + 5*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB