Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 3819076958] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m246 geometric_solution 4.21596395 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1230 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 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 0.204173672060 0.771405986855 0 2 1 1 0132 1230 1230 3012 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880344282431 0.882958704147 3 0 1 0 0321 0132 3012 3012 0 0 0 0 0 1 -1 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 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 0.647852459213 0.627972772564 2 4 0 4 0321 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 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 0.330221732622 2.335755477431 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 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 0.196948052956 0.202129311108 ==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' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 393/5*c_0110_4^11 - 941/5*c_0110_4^10 + 3698/5*c_0110_4^9 + 7147/5*c_0110_4^8 - 8133/5*c_0110_4^7 - 14383/5*c_0110_4^6 + 10139/5*c_0110_4^5 + 12119/5*c_0110_4^4 - 4904/5*c_0110_4^3 - 4437/5*c_0110_4^2 + 792/5*c_0110_4 + 594/5, c_0011_0 - 1, c_0011_3 - c_0110_4^11 - 3*c_0110_4^10 + 8*c_0110_4^9 + 24*c_0110_4^8 - 10*c_0110_4^7 - 50*c_0110_4^6 + 4*c_0110_4^5 + 48*c_0110_4^4 + 6*c_0110_4^3 - 20*c_0110_4^2 - 4*c_0110_4 + 3, c_0101_0 - 136*c_0110_4^11 - 333*c_0110_4^10 + 1271*c_0110_4^9 + 2561*c_0110_4^8 - 2768*c_0110_4^7 - 5258*c_0110_4^6 + 3443*c_0110_4^5 + 4604*c_0110_4^4 - 1727*c_0110_4^3 - 1749*c_0110_4^2 + 291*c_0110_4 + 244, c_0101_1 - 11*c_0110_4^11 - 30*c_0110_4^10 + 96*c_0110_4^9 + 237*c_0110_4^8 - 174*c_0110_4^7 - 496*c_0110_4^6 + 184*c_0110_4^5 + 466*c_0110_4^4 - 74*c_0110_4^3 - 190*c_0110_4^2 + 10*c_0110_4 + 28, c_0110_4^12 + 3*c_0110_4^11 - 8*c_0110_4^10 - 24*c_0110_4^9 + 10*c_0110_4^8 + 50*c_0110_4^7 - 4*c_0110_4^6 - 48*c_0110_4^5 - 6*c_0110_4^4 + 20*c_0110_4^3 + 5*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