Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 4223296835] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m181 geometric_solution 3.92719924 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 0321 0132 0132 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 -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 0.223261331797 0.753854449501 0 2 3 0 0132 2103 1230 0321 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 -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 0.662961545982 0.643429420660 4 1 4 0 0132 2103 2310 0132 0 0 0 0 0 -1 1 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 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 0.225876110052 1.285990219272 3 3 0 1 1230 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.638818788523 1.219548683853 2 2 4 4 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 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 0 -1 1 0 0 -1 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 0.445943419636 0.130091498112 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), '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_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_3, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 21/8*c_0101_2^9 + 9/4*c_0101_2^8 + 141/8*c_0101_2^7 - 107/8*c_0101_2^6 - 157/4*c_0101_2^5 + 109/4*c_0101_2^4 + 121/4*c_0101_2^3 - 14*c_0101_2^2 + 5/8*c_0101_2 - 65/8, c_0011_0 - 1, c_0011_2 - c_0101_2^2 + 1, c_0011_3 + c_0101_2^3 - 2*c_0101_2, c_0101_1 - c_0101_2^7 + c_0101_2^6 + 5*c_0101_2^5 - 4*c_0101_2^4 - 7*c_0101_2^3 + 4*c_0101_2^2 + 2*c_0101_2 + 1, c_0101_2^10 - c_0101_2^9 - 7*c_0101_2^8 + 6*c_0101_2^7 + 17*c_0101_2^6 - 12*c_0101_2^5 - 16*c_0101_2^4 + 6*c_0101_2^3 + 3*c_0101_2^2 + 4*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB