Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 3431813751] 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' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(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: 3 Groebner basis: [ t + 5*c_0101_4^2 - 30*c_0101_4 + 24, c_0011_0 - 1, c_0011_2 - c_0101_4 + 1, c_0101_1 - c_0101_4^2 + 5*c_0101_4 - 2, c_0101_2 - c_0101_4^2 + 5*c_0101_4 - 2, c_0101_4^3 - 6*c_0101_4^2 + 5*c_0101_4 - 1 ], 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: 7 Groebner basis: [ t - 7086/995*c_0101_4^6 - 27521/995*c_0101_4^5 - 60266/995*c_0101_4^4 - 23868/199*c_0101_4^3 - 111148/995*c_0101_4^2 - 74459/995*c_0101_4 - 51302/995, c_0011_0 - 1, c_0011_2 - 3/199*c_0101_4^6 - 36/199*c_0101_4^5 - 116/199*c_0101_4^4 - 186/199*c_0101_4^3 - 348/199*c_0101_4^2 - 236/199*c_0101_4 - 124/199, c_0101_1 + 44/199*c_0101_4^6 + 130/199*c_0101_4^5 + 242/199*c_0101_4^4 + 539/199*c_0101_4^3 + 328/199*c_0101_4^2 + 410/199*c_0101_4 + 293/199, c_0101_2 - 20/199*c_0101_4^6 - 41/199*c_0101_4^5 - 110/199*c_0101_4^4 - 245/199*c_0101_4^3 - 131/199*c_0101_4^2 - 313/199*c_0101_4 - 97/199, c_0101_4^7 + 4*c_0101_4^6 + 9*c_0101_4^5 + 18*c_0101_4^4 + 18*c_0101_4^3 + 13*c_0101_4^2 + 9*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB