Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 694728594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m271 geometric_solution 4.29495532 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 2031 0132 0 0 0 0 0 -1 1 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 1 0 -1 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 0.197212229968 1.155488634535 0 3 2 0 0132 2031 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 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 0 0 0 0 0 0 0.856473409962 0.840938432519 1 0 2 2 2031 0132 2031 1302 0 0 0 0 0 1 -1 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 -1 0 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 0.553856861631 0.649937237449 1 4 0 4 1302 0132 0132 2310 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 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 0.176761710070 1.476431110347 3 3 4 4 3201 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 1 0 -1 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 0.275967497826 0.179389075982 ==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_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_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_0110_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_4'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_4'])})} 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_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 11801/4471*c_0110_4^10 + 52571/4471*c_0110_4^9 + 28539/4471*c_0110_4^8 - 53097/4471*c_0110_4^7 + 46704/4471*c_0110_4^6 - 83614/4471*c_0110_4^5 - 7940/4471*c_0110_4^4 + 63312/4471*c_0110_4^3 - 73958/4471*c_0110_4^2 + 27531/4471*c_0110_4 - 9111/4471, c_0011_0 - 1, c_0011_3 - 123/263*c_0110_4^10 + 453/263*c_0110_4^9 + 757/263*c_0110_4^8 - 453/263*c_0110_4^7 - 159/263*c_0110_4^6 - 521/263*c_0110_4^5 - 670/263*c_0110_4^4 + 574/263*c_0110_4^3 - 211/263*c_0110_4^2 - 284/263*c_0110_4 - 108/263, c_0101_0 + 2868/4471*c_0110_4^10 - 11775/4471*c_0110_4^9 - 11153/4471*c_0110_4^8 + 9408/4471*c_0110_4^7 - 6293/4471*c_0110_4^6 + 12238/4471*c_0110_4^5 + 5699/4471*c_0110_4^4 - 12069/4471*c_0110_4^3 + 8294/4471*c_0110_4^2 + 2042/4471*c_0110_4 + 132/4471, c_0101_4 + 2693/4471*c_0110_4^10 - 12670/4471*c_0110_4^9 - 2960/4471*c_0110_4^8 + 12407/4471*c_0110_4^7 - 19573/4471*c_0110_4^6 + 20056/4471*c_0110_4^5 - 4378/4471*c_0110_4^4 - 12918/4471*c_0110_4^3 + 24272/4471*c_0110_4^2 - 13120/4471*c_0110_4 + 6316/4471, c_0110_4^11 - 5*c_0110_4^10 + 6*c_0110_4^8 - 7*c_0110_4^7 + 9*c_0110_4^6 - 3*c_0110_4^5 - 6*c_0110_4^4 + 10*c_0110_4^3 - 6*c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB