Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 3263388794] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m218 geometric_solution 4.10942659 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 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 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 1.076474571583 0.850219808369 0 2 4 4 0132 1302 2310 0132 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 1 -1 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 0.297420548726 0.865803018948 0 0 3 1 2310 0132 2031 2031 0 0 0 0 0 0 0 0 0 0 1 -1 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 -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 0.427915697057 0.451842913208 3 3 0 2 1302 2031 0132 1302 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 0.586077730669 0.539557309984 4 1 1 4 3201 3201 0132 2310 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 0 0 0 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.850655161474 0.607230068575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_3'])})} 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_0011_4, c_0101_0, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6271/19324*c_0110_3^11 - 2081/19324*c_0110_3^10 + 34633/19324*c_0110_3^9 - 6149/9662*c_0110_3^8 - 3155/4831*c_0110_3^7 + 5973/19324*c_0110_3^6 + 7729/9662*c_0110_3^5 + 456/4831*c_0110_3^4 - 26870/4831*c_0110_3^3 + 264647/19324*c_0110_3^2 - 15667/19324*c_0110_3 - 100593/9662, c_0011_0 - 1, c_0011_3 + 733/4831*c_0110_3^11 - 1659/9662*c_0110_3^10 - 2119/9662*c_0110_3^9 + 617/9662*c_0110_3^8 - 169/9662*c_0110_3^7 - 183/9662*c_0110_3^6 - 2588/4831*c_0110_3^5 + 7483/9662*c_0110_3^4 - 6255/9662*c_0110_3^3 - 9573/4831*c_0110_3^2 + 2738/4831*c_0110_3 + 5125/4831, c_0011_4 - 3811/19324*c_0110_3^11 + 1224/4831*c_0110_3^10 + 4253/19324*c_0110_3^9 - 3769/19324*c_0110_3^8 + 3303/19324*c_0110_3^7 + 301/4831*c_0110_3^6 + 8817/9662*c_0110_3^5 - 15139/9662*c_0110_3^4 + 9885/9662*c_0110_3^3 + 54293/19324*c_0110_3^2 - 11863/9662*c_0110_3 + 300/4831, c_0101_0 + 147/19324*c_0110_3^11 + 1319/9662*c_0110_3^10 - 3465/19324*c_0110_3^9 - 3797/19324*c_0110_3^8 + 1087/19324*c_0110_3^7 - 169/9662*c_0110_3^6 - 477/9662*c_0110_3^5 - 4441/9662*c_0110_3^4 + 6895/9662*c_0110_3^3 - 15009/19324*c_0110_3^2 - 8691/4831*c_0110_3 + 2885/4831, c_0110_3^12 - 2*c_0110_3^11 - c_0110_3^10 + 3*c_0110_3^9 - c_0110_3^8 - 4*c_0110_3^6 + 10*c_0110_3^5 - 8*c_0110_3^4 - 17*c_0110_3^3 + 24*c_0110_3^2 + 4*c_0110_3 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB