Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 3515895657] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m184 geometric_solution 3.95138489 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 1230 0 0 0 0 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 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 0.314384026798 0.661113361225 0 1 3 1 0132 2310 0321 3201 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 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 0.040582239452 0.874881514985 3 0 4 4 1230 0132 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 1 0 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 1.354067534811 2.020948741981 0 2 1 0 3012 3012 0321 0132 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 0 0 0 1 0 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 0.755799400390 0.728788566099 4 2 2 4 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.565637451190 0.301878234382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3662/32555*c_0101_2^8 - 57811/65110*c_0101_2^7 - 651/13022*c_0101_2^6 + 18243/65110*c_0101_2^5 - 11494/32555*c_0101_2^4 + 88979/65110*c_0101_2^3 - 97713/32555*c_0101_2^2 - 22241/65110*c_0101_2 + 205001/65110, c_0011_0 - 1, c_0011_3 + 1028/6511*c_0101_2^8 - 1565/6511*c_0101_2^7 + 2105/13022*c_0101_2^6 - 363/6511*c_0101_2^5 - 6487/13022*c_0101_2^4 + 17249/13022*c_0101_2^3 - 6750/6511*c_0101_2^2 + 3296/6511*c_0101_2 + 1627/13022, c_0011_4 + 3787/6511*c_0101_2^8 - 1753/26044*c_0101_2^7 + 1379/26044*c_0101_2^6 + 2165/26044*c_0101_2^5 - 6282/6511*c_0101_2^4 + 50069/26044*c_0101_2^3 - 1082/6511*c_0101_2^2 - 663/1532*c_0101_2 - 25929/26044, c_0101_0 + 1051/6511*c_0101_2^8 - 377/1532*c_0101_2^7 - 1373/26044*c_0101_2^6 + 3037/26044*c_0101_2^5 - 4466/6511*c_0101_2^4 + 14985/26044*c_0101_2^3 - 5717/6511*c_0101_2^2 - 6671/26044*c_0101_2 + 9463/26044, c_0101_2^9 + 1/4*c_0101_2^8 + 1/2*c_0101_2^6 - 7/4*c_0101_2^5 + 11/4*c_0101_2^4 + 1/4*c_0101_2^3 - 9/4*c_0101_2^2 - 3/2*c_0101_2 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB