Magma V2.19-8 Tue Aug 20 2013 16:08:53 on localhost [Seed = 2816882960] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m083 geometric_solution 3.47440278 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 5 1 1 1 2 0132 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016758383344 0.936228932642 0 0 0 2 0132 2103 0321 2310 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 -1 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 1.016758383344 0.936228932642 1 3 0 3 3201 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956903608981 0.521694861719 4 2 4 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816249547542 0.188308367725 3 4 3 4 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840372386842 0.100164402559 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_4' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2/5*c_0110_2^7 + 8/5*c_0110_2^6 - 9/5*c_0110_2^5 - 2/5*c_0110_2^4 + 3*c_0110_2^3 - 4*c_0110_2^2 + 16/5*c_0110_2 - 9/5, c_0011_0 - 1, c_0101_0 - c_0110_2^7 + 3*c_0110_2^6 + c_0110_2^5 - 10*c_0110_2^4 + 5*c_0110_2^3 + 10*c_0110_2^2 - 7*c_0110_2 - 4, c_0101_3 - c_0110_2^5 + 2*c_0110_2^4 + c_0110_2^3 - 4*c_0110_2^2 + c_0110_2 + 2, c_0101_4 + c_0110_2^3 - c_0110_2^2 - c_0110_2 + 1, c_0110_2^8 - 4*c_0110_2^7 + 2*c_0110_2^6 + 11*c_0110_2^5 - 15*c_0110_2^4 - 5*c_0110_2^3 + 17*c_0110_2^2 - 3*c_0110_2 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB