Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 3465498741] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m281 geometric_solution 4.35338442 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 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 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 0.004915283793 0.811386134618 0 2 3 2 0132 3201 0132 1230 0 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460404705621 1.318417932282 1 3 1 0 3012 1023 2310 0132 0 0 0 0 0 -1 1 0 -1 0 0 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 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 0.460404705621 1.318417932282 2 4 4 1 1023 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.568060549947 0.272030440194 3 3 4 4 2310 0132 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125527669796 1.129977520338 ==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_0101_4'], '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_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_4' : negation(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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 23152/4075*c_0101_4^9 + 30316/815*c_0101_4^8 + 44567/4075*c_0101_4^7 - 1024922/4075*c_0101_4^6 - 232564/4075*c_0101_4^5 + 411276/815*c_0101_4^4 + 49190/163*c_0101_4^3 - 174337/4075*c_0101_4^2 + 12844/815*c_0101_4 + 78303/4075, c_0011_0 - 1, c_0011_2 + 4037/4075*c_0101_4^9 - 6261/815*c_0101_4^8 + 29173/4075*c_0101_4^7 + 149882/4075*c_0101_4^6 - 145216/4075*c_0101_4^5 - 42861/815*c_0101_4^4 + 2706/163*c_0101_4^3 - 11328/4075*c_0101_4^2 - 209/815*c_0101_4 - 1068/4075, c_0101_1 - 1463/4075*c_0101_4^9 + 2392/815*c_0101_4^8 - 14987/4075*c_0101_4^7 - 52718/4075*c_0101_4^6 + 78324/4075*c_0101_4^5 + 14163/815*c_0101_4^4 - 14876/815*c_0101_4^3 - 9883/4075*c_0101_4^2 + 1978/815*c_0101_4 - 1183/4075, c_0101_2 - 219/815*c_0101_4^9 + 1754/815*c_0101_4^8 - 2082/815*c_0101_4^7 - 7184/815*c_0101_4^6 + 9256/815*c_0101_4^5 + 7617/815*c_0101_4^4 - 4488/815*c_0101_4^3 + 4213/815*c_0101_4^2 + 416/815*c_0101_4 + 262/815, c_0101_4^10 - 6*c_0101_4^9 - 6*c_0101_4^8 + 47*c_0101_4^7 + 31*c_0101_4^6 - 102*c_0101_4^5 - 85*c_0101_4^4 + 6*c_0101_4^3 - 6*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB