Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 1048551554] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m239 geometric_solution 4.18830637 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 1 0 0 0132 3201 1230 3012 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 1 0 -1 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414770343263 0.511512343086 0 2 0 3 0132 0132 2310 0132 0 0 0 0 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 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.628830932777 0.667959044305 3 1 4 3 3120 0132 0132 2310 0 0 0 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 0 0 0 0 1 -1 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277117062938 0.610479896262 2 4 1 2 3201 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 -1 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 0.277117062938 0.610479896262 4 3 4 2 2031 0132 1302 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 0.558288401264 2.125692334906 ==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_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_3, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 309/85*c_1001_2^6 + 210/17*c_1001_2^5 - 2382/85*c_1001_2^4 + 48*c_1001_2^3 - 1296/85*c_1001_2^2 - 2576/85*c_1001_2 + 1017/85, c_0011_0 - 1, c_0011_3 + 15/17*c_1001_2^6 - 48/17*c_1001_2^5 + 112/17*c_1001_2^4 - 11*c_1001_2^3 + 54/17*c_1001_2^2 + 113/17*c_1001_2 - 53/17, c_0101_0 + 6/17*c_1001_2^6 - 9/17*c_1001_2^5 + 21/17*c_1001_2^4 - c_1001_2^3 - 60/17*c_1001_2^2 + 18/17*c_1001_2 + 23/17, c_0101_1 - 33/17*c_1001_2^6 + 109/17*c_1001_2^5 - 243/17*c_1001_2^4 + 24*c_1001_2^3 - 95/17*c_1001_2^2 - 303/17*c_1001_2 + 69/17, c_1001_2^7 - 5*c_1001_2^6 + 13*c_1001_2^5 - 25*c_1001_2^4 + 24*c_1001_2^3 + 4*c_1001_2^2 - 18*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB