Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 307465745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s481 geometric_solution 4.85221964 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1230 0132 0 0 0 0 0 -2 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 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 -0.552525800191 1.189697607193 0 3 4 0 0132 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.439126872953 0.473140984260 5 0 5 4 0132 0132 1230 0132 0 0 0 0 0 2 -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 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 0.229340103936 0.561920715518 5 4 0 1 2031 2031 0132 2031 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 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 0.252997823512 0.928692018118 3 5 2 1 1302 0132 0132 0132 0 0 0 0 0 -1 1 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 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 2.321111750374 0.691417271246 2 4 3 2 0132 0132 1302 3012 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 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 0.443944687953 0.848446043117 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(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' : d['c_0110_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0110_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 56/15*c_0110_3^7 + 46/5*c_0110_3^6 - 113/15*c_0110_3^5 - 134/15*c_0110_3^4 + 71/3*c_0110_3^3 - 422/15*c_0110_3^2 + 233/15*c_0110_3 - 73/15, c_0011_0 - 1, c_0011_3 - 14/5*c_0110_3^7 + 27/5*c_0110_3^6 - 17/5*c_0110_3^5 - 36/5*c_0110_3^4 + 13*c_0110_3^3 - 78/5*c_0110_3^2 + 32/5*c_0110_3 - 12/5, c_0101_0 + 8/5*c_0110_3^7 - 4*c_0110_3^6 + 18/5*c_0110_3^5 + 3*c_0110_3^4 - 52/5*c_0110_3^3 + 68/5*c_0110_3^2 - 43/5*c_0110_3 + 11/5, c_0101_1 + 4/5*c_0110_3^7 - 2*c_0110_3^6 + 4/5*c_0110_3^5 + 3*c_0110_3^4 - 26/5*c_0110_3^3 + 19/5*c_0110_3^2 - 4/5*c_0110_3 - 7/5, c_0101_2 + 14/5*c_0110_3^7 - 7*c_0110_3^6 + 29/5*c_0110_3^5 + 6*c_0110_3^4 - 86/5*c_0110_3^3 + 109/5*c_0110_3^2 - 69/5*c_0110_3 + 18/5, c_0110_3^8 - 5/2*c_0110_3^7 + 5/2*c_0110_3^6 + 3/2*c_0110_3^5 - 6*c_0110_3^4 + 9*c_0110_3^3 - 13/2*c_0110_3^2 + 3*c_0110_3 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB