Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 4189611483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s377 geometric_solution 4.59672492 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 0.673569859639 1.130976754884 0 4 3 4 0132 3012 1023 1023 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 0 0 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 0.242244468866 0.430670308906 2 0 3 2 3012 0132 3012 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.392972067653 0.536133680040 5 2 1 0 0132 1230 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007842538955 1.763890677179 1 5 0 1 1230 0321 0132 1023 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 0 -1 -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 -0.757755531134 0.430670308906 3 5 5 4 0132 3201 2310 0321 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 0 1 -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 0.235576511655 0.816197788547 ==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_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : 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_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2953/32*c_1100_0^8 - 6399/32*c_1100_0^7 + 4843/16*c_1100_0^6 - 6361/16*c_1100_0^5 - 8065/32*c_1100_0^4 + 9303/32*c_1100_0^3 - 17467/16*c_1100_0^2 - 20753/16*c_1100_0 - 10805/32, c_0011_0 - 1, c_0011_3 + 28*c_1100_0^8 - 68*c_1100_0^7 + 113*c_1100_0^6 - 160*c_1100_0^5 - 16*c_1100_0^4 + 64*c_1100_0^3 - 336*c_1100_0^2 - 304*c_1100_0 - 65, c_0011_4 + 17*c_1100_0^8 - 42*c_1100_0^7 + 71*c_1100_0^6 - 102*c_1100_0^5 - 2*c_1100_0^4 + 33*c_1100_0^3 - 202*c_1100_0^2 - 177*c_1100_0 - 38, c_0101_0 + 20*c_1100_0^8 - 48*c_1100_0^7 + 79*c_1100_0^6 - 111*c_1100_0^5 - 17*c_1100_0^4 + 49*c_1100_0^3 - 241*c_1100_0^2 - 223*c_1100_0 - 48, c_0101_2 + 32*c_1100_0^8 - 80*c_1100_0^7 + 136*c_1100_0^6 - 196*c_1100_0^5 + 2*c_1100_0^4 + 63*c_1100_0^3 - 384*c_1100_0^2 - 320*c_1100_0 - 64, c_1100_0^9 - 2*c_1100_0^8 + 3*c_1100_0^7 - 4*c_1100_0^6 - 3*c_1100_0^5 + 2*c_1100_0^4 - 11*c_1100_0^3 - 16*c_1100_0^2 - 7*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB