Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 21012410] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m273 geometric_solution 4.30968946 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 0321 0132 0132 0 0 0 0 0 0 -1 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 1 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 0.398315609845 0.676306327155 0 2 3 0 0132 2103 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734285880618 0.825353283428 2 1 2 0 2031 2103 1302 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 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 0.398315609845 0.676306327155 4 4 0 1 0132 3201 0132 3012 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 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 0.671710192128 2.288671783564 3 4 3 4 0132 1302 2310 2031 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 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 -0.566367277292 0.621013843757 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : 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_0011_3'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_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_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_0011_3, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 72/65*c_0101_4^15 - 12/5*c_0101_4^13 - 268/65*c_0101_4^11 + 242/65*c_0101_4^9 + 469/65*c_0101_4^7 + 106/65*c_0101_4^5 - 173/65*c_0101_4^3 - 43/65*c_0101_4, c_0011_0 - 1, c_0011_2 - 56/65*c_0101_4^15 + 16/5*c_0101_4^13 - 66/65*c_0101_4^11 - 246/65*c_0101_4^9 - 47/65*c_0101_4^7 + 322/65*c_0101_4^5 - 46/65*c_0101_4^3 - 176/65*c_0101_4, c_0011_3 - 32/65*c_0101_4^15 + 12/5*c_0101_4^13 - 112/65*c_0101_4^11 - 317/65*c_0101_4^9 + 131/65*c_0101_4^7 + 509/65*c_0101_4^5 - 17/65*c_0101_4^3 - 277/65*c_0101_4, c_0101_1 - 56/65*c_0101_4^14 + 16/5*c_0101_4^12 - 66/65*c_0101_4^10 - 246/65*c_0101_4^8 - 47/65*c_0101_4^6 + 322/65*c_0101_4^4 - 46/65*c_0101_4^2 - 111/65, c_0101_4^16 - 5/2*c_0101_4^14 - 3*c_0101_4^12 + 4*c_0101_4^10 + 15/2*c_0101_4^8 - c_0101_4^6 - 5*c_0101_4^4 - c_0101_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB