Magma V2.19-8 Tue Aug 20 2013 16:08:53 on localhost [Seed = 1427426274] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m049 geometric_solution 3.30021763 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 1 0132 0132 0321 1023 0 0 0 0 0 -1 0 1 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 0.120945571421 1.036973980098 0 2 0 0 0132 3201 0321 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120945571421 1.036973980098 3 0 1 3 0132 0132 2310 3201 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 -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 0.063345088343 0.530693922357 2 2 4 4 0132 2310 0132 2310 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 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.863905892144 1.454112790891 3 4 4 3 3201 3201 2310 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 -1 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 -0.542654480974 0.129872288069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_2'], '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_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1582/561*c_0101_3^6 - 5657/1122*c_0101_3^5 + 3616/561*c_0101_3^4 + 5326/561*c_0101_3^3 - 47/51*c_0101_3^2 - 14057/1122*c_0101_3 - 6871/1122, c_0011_0 - 1, c_0011_4 + 70/187*c_0101_3^6 + 213/374*c_0101_3^5 - 177/187*c_0101_3^4 - 146/187*c_0101_3^3 - 54/187*c_0101_3^2 + 29/34*c_0101_3 + 227/374, c_0101_0 - 98/187*c_0101_3^6 - 203/374*c_0101_3^5 + 703/374*c_0101_3^4 + 283/374*c_0101_3^3 - 244/187*c_0101_3^2 - 259/187*c_0101_3 - 73/374, c_0101_2 + 14/187*c_0101_3^6 + 15/34*c_0101_3^5 + 89/374*c_0101_3^4 - 257/187*c_0101_3^3 - 229/374*c_0101_3^2 + 173/187*c_0101_3 + 140/187, c_0101_3^7 + 7/4*c_0101_3^6 - 5/2*c_0101_3^5 - 13/4*c_0101_3^4 + c_0101_3^3 + 4*c_0101_3^2 + 2*c_0101_3 - 3/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB