Magma V2.19-8 Tue Aug 20 2013 16:08:15 on localhost [Seed = 3684320521] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m180 geometric_solution 3.92591734 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122835814883 1.448978915859 0 2 2 3 0132 3201 0213 0132 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 0 0 0 0 0 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 0.371991401060 0.814011012158 3 1 1 0 3201 0213 2310 0132 0 0 0 0 0 1 0 -1 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 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371991401060 0.814011012158 3 3 1 2 1302 2031 0132 2310 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 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 0 0 0 0 0 0 0 0 0 0.594137571575 0.770108127206 ==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' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : 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_2'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_2'], '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: 8 Groebner basis: [ t - 31*c_0101_2^7 + 12*c_0101_2^6 + 182*c_0101_2^5 + 332*c_0101_2^4 + 85*c_0101_2^3 - 255*c_0101_2^2 - 273*c_0101_2 - 77, c_0011_0 - 1, c_0011_2 + 12*c_0101_2^7 - 5*c_0101_2^6 - 70*c_0101_2^5 - 127*c_0101_2^4 - 30*c_0101_2^3 + 98*c_0101_2^2 + 103*c_0101_2 + 27, c_0011_3 - 15*c_0101_2^7 + 7*c_0101_2^6 + 87*c_0101_2^5 + 154*c_0101_2^4 + 32*c_0101_2^3 - 121*c_0101_2^2 - 123*c_0101_2 - 32, c_0101_2^8 - 6*c_0101_2^6 - 13*c_0101_2^5 - 7*c_0101_2^4 + 7*c_0101_2^3 + 12*c_0101_2^2 + 6*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB