Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 1141234424] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m233 geometric_solution 4.16993725 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 -1 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 -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 1.073011189697 0.716168244477 0 2 1 1 0132 1302 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 0 1 0 -1 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 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804428434461 0.722574117979 0 0 3 1 2310 0132 1302 2031 0 0 0 0 0 0 1 -1 0 0 -1 1 -1 0 0 1 1 -1 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 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 0.355258398330 0.430324926191 2 4 0 4 2031 0132 0132 2310 0 0 0 0 0 0 -1 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 1.184331231696 0.524227848095 3 3 4 4 3201 0132 1230 3012 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 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 0.526702862850 0.362227069850 ==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' : 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' : 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_0110_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), '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' : negation(d['c_0101_4']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 159/10*c_0110_4^9 + 863/10*c_0110_4^8 - 583/5*c_0110_4^7 - 1719/10*c_0110_4^6 + 2749/5*c_0110_4^5 - 947/5*c_0110_4^4 - 2597/5*c_0110_4^3 + 539/2*c_0110_4^2 + 2477/10*c_0110_4 + 186/5, c_0011_0 - 1, c_0101_0 - 51/4*c_0110_4^9 + 67*c_0110_4^8 - 323/4*c_0110_4^7 - 633/4*c_0110_4^6 + 1693/4*c_0110_4^5 - 139/2*c_0110_4^4 - 468*c_0110_4^3 + 637/4*c_0110_4^2 + 505/2*c_0110_4 + 197/4, c_0101_1 - c_0110_4^9 + 5*c_0110_4^8 - 5*c_0110_4^7 - 14*c_0110_4^6 + 30*c_0110_4^5 + 3*c_0110_4^4 - 38*c_0110_4^3 + 3*c_0110_4^2 + 24*c_0110_4 + 8, c_0101_4 - 9/2*c_0110_4^9 + 24*c_0110_4^8 - 61/2*c_0110_4^7 - 105/2*c_0110_4^6 + 303/2*c_0110_4^5 - 37*c_0110_4^4 - 156*c_0110_4^3 + 127/2*c_0110_4^2 + 81*c_0110_4 + 29/2, c_0110_4^10 - 5*c_0110_4^9 + 5*c_0110_4^8 + 14*c_0110_4^7 - 30*c_0110_4^6 - 3*c_0110_4^5 + 38*c_0110_4^4 - 3*c_0110_4^3 - 23*c_0110_4^2 - 9*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB