Magma V2.19-8 Tue Aug 20 2013 16:08:13 on localhost [Seed = 105355479] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m082 geometric_solution 3.47424776 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 4 0 1 0 2 2310 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.030521833047 0.650393271692 2 0 2 3 3201 0132 3012 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 0 1 -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 0.071995135562 1.534152673345 3 1 0 1 1023 1230 0132 2310 0 0 0 0 0 0 0 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 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 0.071995135562 1.534152673345 3 2 1 3 3201 1023 0132 2310 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452456854473 0.417540628270 ==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_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_0011_2, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 12*c_0101_1^5 + 32*c_0101_1^4 + 9*c_0101_1^3 - 28*c_0101_1^2 - 20*c_0101_1 - 6, c_0011_0 - 1, c_0011_2 + 4*c_0101_1^5 + 8*c_0101_1^4 + c_0101_1^3 - 5*c_0101_1^2 - 5*c_0101_1 - 2, c_0101_0 - 4*c_0101_1^5 - 12*c_0101_1^4 - 5*c_0101_1^3 + 10*c_0101_1^2 + 8*c_0101_1 + 3, c_0101_1^6 + 3*c_0101_1^5 + 7/4*c_0101_1^4 - 7/4*c_0101_1^3 - 9/4*c_0101_1^2 - 5/4*c_0101_1 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB