Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 1629551644] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2971 geometric_solution 6.15230974 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 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 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 0.316183063794 0.809118999835 0 4 0 3 0132 0132 1023 3201 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 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 0.316183063794 0.809118999835 4 0 6 5 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.418982361349 1.072184528469 5 1 0 5 1023 2310 0132 2310 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 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 0.484657293629 1.629523882515 2 1 6 5 0132 0132 1023 1023 0 0 0 0 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 -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 -0.418982361349 1.072184528469 3 3 2 4 3201 1023 0132 1023 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.112345735760 0.444505316676 6 6 4 2 1230 3012 1023 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 1 0 -1 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 0.785498680423 1.446437712068 ==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_5' : 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_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : negation(d['c_1100_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 95818495/303547*c_1100_2^8 - 517498152/303547*c_1100_2^7 - 873466666/303547*c_1100_2^6 - 640369031/303547*c_1100_2^5 - 45344075/303547*c_1100_2^4 + 190986572/303547*c_1100_2^3 + 315600682/303547*c_1100_2^2 + 132622046/303547*c_1100_2 - 14433820/303547, c_0011_0 - 1, c_0011_3 - 283060/303547*c_1100_2^8 - 1262931/303547*c_1100_2^7 - 1223266/303547*c_1100_2^6 + 117137/303547*c_1100_2^5 + 1039109/303547*c_1100_2^4 + 396596/303547*c_1100_2^3 + 486159/303547*c_1100_2^2 - 231615/303547*c_1100_2 - 8181/303547, c_0011_6 - 550285/303547*c_1100_2^8 - 2919416/303547*c_1100_2^7 - 4822851/303547*c_1100_2^6 - 3669956/303547*c_1100_2^5 - 771797/303547*c_1100_2^4 + 164748/303547*c_1100_2^3 + 1299901/303547*c_1100_2^2 + 484459/303547*c_1100_2 + 75993/303547, c_0101_0 + 526790/303547*c_1100_2^8 + 2748074/303547*c_1100_2^7 + 4407656/303547*c_1100_2^6 + 3261425/303547*c_1100_2^5 + 376630/303547*c_1100_2^4 - 1029430/303547*c_1100_2^3 - 2206237/303547*c_1100_2^2 - 873359/303547*c_1100_2 - 225963/303547, c_0101_1 - 526790/303547*c_1100_2^8 - 2748074/303547*c_1100_2^7 - 4407656/303547*c_1100_2^6 - 3261425/303547*c_1100_2^5 - 376630/303547*c_1100_2^4 + 1029430/303547*c_1100_2^3 + 2206237/303547*c_1100_2^2 + 873359/303547*c_1100_2 + 225963/303547, c_0101_6 + 429885/303547*c_1100_2^8 + 2433486/303547*c_1100_2^7 + 4598702/303547*c_1100_2^6 + 4319475/303547*c_1100_2^5 + 1639603/303547*c_1100_2^4 - 426250/303547*c_1100_2^3 - 1489270/303547*c_1100_2^2 - 726182/303547*c_1100_2 - 94722/303547, c_1100_2^9 + 28/5*c_1100_2^8 + 52/5*c_1100_2^7 + 48/5*c_1100_2^6 + 18/5*c_1100_2^5 - 3/5*c_1100_2^4 - 18/5*c_1100_2^3 - 12/5*c_1100_2^2 - 4/5*c_1100_2 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB