Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3347471335] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s250 geometric_solution 4.41516535 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 2310 0132 0132 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 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 0.070444451935 0.428137764218 0 1 1 0 0132 3201 2310 3201 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 -1.157343187670 0.982478952854 3 4 4 0 1023 0132 3201 0132 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487593990215 0.658952357371 5 2 0 5 0132 1023 0132 3201 0 0 0 0 0 -1 0 1 -1 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 0 0 1 -1 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 0.487593990215 0.658952357371 2 2 5 5 2310 0132 2031 1302 0 0 0 0 0 0 -1 1 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 -1 1 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 1.901780289384 1.219571856585 3 3 4 4 0132 2310 2031 1302 0 0 0 0 0 0 0 0 1 0 -1 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 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 1.901780289384 1.219571856585 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : d['1'], 's_2_5' : d['1'], 's_1_5' : 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_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 95/16*c_0101_5^9 - 359/16*c_0101_5^8 - 349/8*c_0101_5^7 + 3325/16*c_0101_5^6 + 1261/16*c_0101_5^5 - 2059/4*c_0101_5^4 - 2841/16*c_0101_5^3 + 7031/16*c_0101_5^2 + 1251/16*c_0101_5 - 647/8, c_0011_0 - 1, c_0011_2 + 7/16*c_0101_5^9 - 7/8*c_0101_5^8 - 69/16*c_0101_5^7 + 109/16*c_0101_5^6 + 27/2*c_0101_5^5 - 127/16*c_0101_5^4 - 239/16*c_0101_5^3 + 11/4*c_0101_5^2 + 33/8*c_0101_5 + 1/16, c_0101_0 - c_0101_5^9 + 29/16*c_0101_5^8 + 161/16*c_0101_5^7 - 27/2*c_0101_5^6 - 513/16*c_0101_5^5 + 185/16*c_0101_5^4 + 253/8*c_0101_5^3 - 71/16*c_0101_5^2 - 93/16*c_0101_5 - 5/16, c_0101_1 - 19/16*c_0101_5^9 + 37/16*c_0101_5^8 + 47/4*c_0101_5^7 - 289/16*c_0101_5^6 - 579/16*c_0101_5^5 + 175/8*c_0101_5^4 + 545/16*c_0101_5^3 - 217/16*c_0101_5^2 - 81/16*c_0101_5 + 5/4, c_0101_4 - c_0101_5, c_0101_5^10 - 2*c_0101_5^9 - 10*c_0101_5^8 + 16*c_0101_5^7 + 32*c_0101_5^6 - 22*c_0101_5^5 - 36*c_0101_5^4 + 14*c_0101_5^3 + 11*c_0101_5^2 - 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB