Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 4240269892] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m182 geometric_solution 3.93949637 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 0 1 0 1 2310 0132 3201 2310 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 1 -1 0 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 -0.789874845878 1.027787294246 0 0 3 2 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -0.153173289599 0.575101149336 3 3 1 4 1302 1023 0132 0132 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 1 -1 0 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 0.170117720676 0.699989773428 2 2 4 1 1023 2031 2310 0132 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 -1 0 0 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 0.170117720676 0.699989773428 4 3 2 4 3012 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.672173273491 1.348920941923 ==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' : d['1'], 's_3_2' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_2']})} 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_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3*c_0101_4^6 - 16*c_0101_4^5 + 24*c_0101_4^4 - 19*c_0101_4^2 + 7*c_0101_4 - 4, c_0011_0 - 1, c_0011_2 + c_0101_4^5 - 4*c_0101_4^4 + 3*c_0101_4^3 + 2*c_0101_4^2 - c_0101_4 + 1, c_0011_4 - c_0101_4^6 + 5*c_0101_4^5 - 7*c_0101_4^4 + c_0101_4^3 + 2*c_0101_4^2 - c_0101_4 + 1, c_0101_0 + c_0101_4^6 - 5*c_0101_4^5 + 7*c_0101_4^4 - c_0101_4^3 - 3*c_0101_4^2 + 2*c_0101_4 - 1, c_0101_4^7 - 6*c_0101_4^6 + 12*c_0101_4^5 - 8*c_0101_4^4 - c_0101_4^3 + 3*c_0101_4^2 - 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB