Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 3313785725] 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' : negation(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' : negation(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: 9 Groebner basis: [ t - 124698825/23450008*c_0101_4^8 + 53335397/5862502*c_0101_4^7 + 388531011/5862502*c_0101_4^6 - 566402466/2931251*c_0101_4^5 + 856529801/23450008*c_0101_4^4 - 3018501731/23450008*c_0101_4^3 + 9043441957/23450008*c_0101_4^2 + 1841547265/23450008*c_0101_4 - 817724195/11725004, c_0011_0 - 1, c_0011_2 + 102226/2931251*c_0101_4^8 - 116600/2931251*c_0101_4^7 - 1359032/2931251*c_0101_4^6 + 3030465/2931251*c_0101_4^5 + 1218514/2931251*c_0101_4^4 + 1759363/2931251*c_0101_4^3 - 4001776/2931251*c_0101_4^2 - 5284117/2931251*c_0101_4 + 1086935/2931251, c_0011_4 - 1010721/11725004*c_0101_4^8 + 504700/2931251*c_0101_4^7 + 3066924/2931251*c_0101_4^6 - 10072909/2931251*c_0101_4^5 + 15571069/11725004*c_0101_4^4 - 24714563/11725004*c_0101_4^3 + 80171673/11725004*c_0101_4^2 + 7437657/11725004*c_0101_4 - 9389427/5862502, c_0101_0 - 1828529/11725004*c_0101_4^8 + 737900/2931251*c_0101_4^7 + 5784988/2931251*c_0101_4^6 - 16133839/2931251*c_0101_4^5 + 5822957/11725004*c_0101_4^4 - 38789467/11725004*c_0101_4^3 + 123910885/11725004*c_0101_4^2 + 37985589/11725004*c_0101_4 - 13737167/5862502, c_0101_4^9 - 2*c_0101_4^8 - 12*c_0101_4^7 + 40*c_0101_4^6 - 17*c_0101_4^5 + 25*c_0101_4^4 - 79*c_0101_4^3 + 5*c_0101_4^2 + 20*c_0101_4 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB