Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 1949689883] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s831 geometric_solution 5.40510144 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 6 1 1 1 2 0132 1302 3012 0132 0 0 0 1 0 -1 0 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 1 -1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348544792696 1.070378621006 0 0 3 0 0132 1230 0132 2031 0 0 1 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 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 0.414912064019 0.681724542140 4 5 0 4 0132 0132 0132 0213 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 0 1 -1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965587205399 0.991219419842 4 5 5 1 2310 1230 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.651455207304 1.070378621006 2 5 3 2 0132 3012 3201 0213 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 0 1 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 0.275570316611 1.379028268581 4 2 3 3 1230 0132 3012 1302 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 0.852800899437 0.552736669269 ==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_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_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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2']})} 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_2, c_0011_3, c_0101_1, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 59/12*c_1001_2^4 + 87/4*c_1001_2^3 - 93/2*c_1001_2^2 + 127/3*c_1001_2 - 106/3, c_0011_0 - 1, c_0011_2 + 1/2*c_1001_2^3 - 3/2*c_1001_2^2 + 2*c_1001_2 - 1, c_0011_3 - 1/2*c_1001_2^4 + 2*c_1001_2^3 - 7/2*c_1001_2^2 + 2*c_1001_2 - 1, c_0101_1 - 1, c_0101_5 + c_1001_2 - 1, c_1001_2^5 - 5*c_1001_2^4 + 12*c_1001_2^3 - 14*c_1001_2^2 + 12*c_1001_2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB