Magma V2.19-8 Tue Aug 20 2013 16:18:26 on localhost [Seed = 3120047244] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2638 geometric_solution 5.91262250 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059210241972 1.001664093393 0 3 5 5 0132 2103 2031 0132 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 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 0.592937846021 0.775309773248 6 0 6 5 0132 0132 2031 3201 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 0 0 0 0 0 0 0 -1.070292577034 1.509801495259 5 1 6 0 0213 2103 3012 0132 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 1.493569878637 0.779388101494 6 4 0 4 2103 2310 0132 3201 0 0 0 0 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 0 -1 0 1 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.057152757239 0.739305240764 3 2 1 1 0213 2310 0132 1302 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 -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 0.312491741941 0.440814511249 2 3 4 2 0132 1230 2103 1302 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 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 0.420050764300 0.915788327730 ==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_5' : 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_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_0101_2'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_4, c_0011_5, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 286413/66251*c_1001_0^10 + 652357/66251*c_1001_0^9 - 2133851/66251*c_1001_0^8 + 5366498/66251*c_1001_0^7 - 10020697/66251*c_1001_0^6 + 15139953/66251*c_1001_0^5 - 16198645/66251*c_1001_0^4 + 8711081/66251*c_1001_0^3 - 3832172/66251*c_1001_0^2 + 1017846/66251*c_1001_0 - 466881/66251, c_0011_0 - 1, c_0011_3 + 8613/66251*c_1001_0^10 - 43562/66251*c_1001_0^9 + 122072/66251*c_1001_0^8 - 341005/66251*c_1001_0^7 + 766380/66251*c_1001_0^6 - 1314862/66251*c_1001_0^5 + 1773918/66251*c_1001_0^4 - 1642706/66251*c_1001_0^3 + 790060/66251*c_1001_0^2 - 230864/66251*c_1001_0 + 68136/66251, c_0011_4 - 2903/66251*c_1001_0^10 + 1560/66251*c_1001_0^9 - 18999/66251*c_1001_0^8 + 31785/66251*c_1001_0^7 - 60362/66251*c_1001_0^6 + 104687/66251*c_1001_0^5 - 106587/66251*c_1001_0^4 + 84292/66251*c_1001_0^3 - 84558/66251*c_1001_0^2 - 84796/66251*c_1001_0 + 66731/66251, c_0011_5 + 6569/66251*c_1001_0^10 + 17443/66251*c_1001_0^9 - 35469/66251*c_1001_0^8 + 131804/66251*c_1001_0^7 - 436004/66251*c_1001_0^6 + 909324/66251*c_1001_0^5 - 1541267/66251*c_1001_0^4 + 1885476/66251*c_1001_0^3 - 1045109/66251*c_1001_0^2 + 313518/66251*c_1001_0 - 106750/66251, c_0101_1 + 480/66251*c_1001_0^10 - 4343/66251*c_1001_0^9 + 5880/66251*c_1001_0^8 - 30519/66251*c_1001_0^7 + 54825/66251*c_1001_0^6 - 97322/66251*c_1001_0^5 + 149327/66251*c_1001_0^4 - 139707/66251*c_1001_0^3 + 100612/66251*c_1001_0^2 - 91278/66251*c_1001_0 - 16625/66251, c_0101_2 - 38614/66251*c_1001_0^10 + 131024/66251*c_1001_0^9 - 373645/66251*c_1001_0^8 + 1013339/66251*c_1001_0^7 - 2062673/66251*c_1001_0^6 + 3303654/66251*c_1001_0^5 - 3996640/66251*c_1001_0^4 + 2897017/66251*c_1001_0^3 - 1070106/66251*c_1001_0^2 + 285547/66251*c_1001_0 - 71802/66251, c_1001_0^11 - 3*c_1001_0^10 + 9*c_1001_0^9 - 24*c_1001_0^8 + 48*c_1001_0^7 - 77*c_1001_0^6 + 93*c_1001_0^5 - 69*c_1001_0^4 + 34*c_1001_0^3 - 14*c_1001_0^2 + 4*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB