Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 1225316350] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m163 geometric_solution 3.82856946 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 1 2 0132 0213 1230 0132 0 0 0 0 0 0 1 -1 -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 1 1 -2 -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 0.556253968546 0.816398818139 0 2 0 0 0132 3120 0213 3012 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 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 0.430024152345 0.836538046837 3 1 0 3 0132 3120 0132 1023 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 2 -2 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 0.508919460335 0.340601343144 2 4 4 2 0132 0132 3201 1023 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 -1 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.110784037026 0.489816693195 3 3 4 4 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.574439982966 0.289288852051 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_4' : 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_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_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_2'], 'c_0011_4' : 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_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_1001_0'])})} 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_2, c_0101_3, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 15*c_1001_0^8 - 33*c_1001_0^7 - 77*c_1001_0^6 - 160*c_1001_0^5 - 104*c_1001_0^4 - 5*c_1001_0^3 + 120*c_1001_0^2 + 86*c_1001_0 + 11, c_0011_0 - 1, c_0011_2 + c_1001_0^8 + 2*c_1001_0^7 + 5*c_1001_0^6 + 10*c_1001_0^5 + 6*c_1001_0^4 + c_1001_0^3 - 8*c_1001_0^2 - 4*c_1001_0 - 1, c_0101_3 + 5*c_1001_0^8 + 10*c_1001_0^7 + 24*c_1001_0^6 + 49*c_1001_0^5 + 26*c_1001_0^4 - c_1001_0^3 - 40*c_1001_0^2 - 21*c_1001_0 - 1, c_0101_4 + 49*c_1001_0^8 + 119*c_1001_0^7 + 275*c_1001_0^6 + 578*c_1001_0^5 + 454*c_1001_0^4 + 84*c_1001_0^3 - 390*c_1001_0^2 - 365*c_1001_0 - 87, c_1001_0^9 + 3*c_1001_0^8 + 7*c_1001_0^7 + 15*c_1001_0^6 + 16*c_1001_0^5 + 7*c_1001_0^4 - 7*c_1001_0^3 - 12*c_1001_0^2 - 6*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB