Magma V2.19-8 Tue Aug 20 2013 16:08:15 on localhost [Seed = 3515895555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m185 geometric_solution 3.95422982 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 4 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148083464632 1.211405428774 0 2 3 2 0132 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348760051669 0.934175326327 1 3 1 0 3012 3201 2310 0132 0 0 0 0 0 1 0 -1 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 1 -1 0 1 0 0 -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 0.348760051669 0.934175326327 3 3 2 1 1230 3012 2310 0132 0 0 0 0 0 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649246657054 0.939514480051 ==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' : 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_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' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : 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_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_0011_2, c_0011_3, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 23*c_0101_2^6 + 60*c_0101_2^5 - 93*c_0101_2^4 - 195*c_0101_2^3 - 14*c_0101_2^2 + 147*c_0101_2 + 59, c_0011_0 - 1, c_0011_2 + 8*c_0101_2^6 + 20*c_0101_2^5 - 34*c_0101_2^4 - 63*c_0101_2^3 - c_0101_2^2 + 48*c_0101_2 + 17, c_0011_3 + 9*c_0101_2^6 + 23*c_0101_2^5 - 37*c_0101_2^4 - 73*c_0101_2^3 - 4*c_0101_2^2 + 55*c_0101_2 + 20, c_0101_2^7 + 3*c_0101_2^6 - 3*c_0101_2^5 - 10*c_0101_2^4 - 4*c_0101_2^3 + 6*c_0101_2^2 + 5*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB