Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 2134827794] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s812 geometric_solution 5.37587720 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 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 1 0 -1 0 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 0.494698920313 0.273226420177 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956364429276 0.582264462651 1 4 5 3 0132 0132 0132 2310 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 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 0.419792255440 0.994332650489 2 5 4 1 3201 1023 1023 0132 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 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419792255440 0.994332650489 4 2 3 4 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.978573581528 0.907569016889 3 5 5 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076662157252 0.726581978715 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 756/43*c_0101_4^9 - 21884/43*c_0101_4^7 - 33994/43*c_0101_4^5 - 3087/43*c_0101_4^3 + 2061/43*c_0101_4, c_0011_0 - 1, c_0011_1 - 49/43*c_0101_4^8 + 1463/43*c_0101_4^6 + 895/43*c_0101_4^4 - 1287/43*c_0101_4^2 + 257/43, c_0011_3 + 44/43*c_0101_4^9 - 1326/43*c_0101_4^7 - 443/43*c_0101_4^5 + 1569/43*c_0101_4^3 - 437/43*c_0101_4, c_0101_0 + 376/43*c_0101_4^9 - 11171/43*c_0101_4^7 - 8500/43*c_0101_4^5 + 8369/43*c_0101_4^3 - 1385/43*c_0101_4, c_0101_1 + 6/43*c_0101_4^8 - 173/43*c_0101_4^6 - 293/43*c_0101_4^4 + 40/43*c_0101_4^2 + 44/43, c_0101_4^10 - 30*c_0101_4^8 - 14*c_0101_4^6 + 29*c_0101_4^4 - 10*c_0101_4^2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 813/64*c_0101_4^11 - 4743/64*c_0101_4^9 + 5715/64*c_0101_4^7 - 2015/8*c_0101_4^5 + 5985/32*c_0101_4^3 - 5327/64*c_0101_4, c_0011_0 - 1, c_0011_1 + 5/32*c_0101_4^10 - 27/32*c_0101_4^8 + 27/32*c_0101_4^6 - 27/8*c_0101_4^4 + 27/16*c_0101_4^2 - 35/32, c_0011_3 + 11/16*c_0101_4^11 - 63/16*c_0101_4^9 + 69/16*c_0101_4^7 - 101/8*c_0101_4^5 + 17/2*c_0101_4^3 - 39/16*c_0101_4, c_0101_0 + 27/64*c_0101_4^11 - 153/64*c_0101_4^9 + 165/64*c_0101_4^7 - 8*c_0101_4^5 + 147/32*c_0101_4^3 - 81/64*c_0101_4, c_0101_1 + 27/64*c_0101_4^10 - 153/64*c_0101_4^8 + 165/64*c_0101_4^6 - 8*c_0101_4^4 + 147/32*c_0101_4^2 - 81/64, c_0101_4^12 - 6*c_0101_4^10 + 8*c_0101_4^8 - 21*c_0101_4^6 + 18*c_0101_4^4 - 9*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB