Magma V2.19-8 Tue Aug 20 2013 16:08:13 on localhost [Seed = 1360056192] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m052 geometric_solution 3.30824155 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 4 1 2 1 1 0132 0132 0321 1023 0 0 0 0 0 0 1 -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 0 1 -1 0 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007361021276 0.876997640262 0 2 0 0 0132 2310 0321 1023 0 0 0 0 0 0 -1 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 0 0 1 -1 1 0 -1 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 -0.007361021276 0.876997640262 3 0 3 1 0132 0132 2310 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 -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 0.754348633840 1.766906477103 2 2 3 3 0132 3201 1230 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 0.247860316034 0.250264761505 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_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_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 5 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0101_0, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 27*c_1001_0^4 + 15*c_1001_0^3 + 57*c_1001_0^2 + 74*c_1001_0 + 21, c_0011_0 - 1, c_0101_0 - 15*c_1001_0^4 - 6*c_1001_0^3 - 32*c_1001_0^2 - 36*c_1001_0 - 9, c_0101_2 + 12*c_1001_0^4 + 3*c_1001_0^3 + 25*c_1001_0^2 + 25*c_1001_0 + 4, c_1001_0^5 + c_1001_0^4 + 7/3*c_1001_0^3 + 11/3*c_1001_0^2 + 2*c_1001_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB