Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 4256981471] 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' : 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' : 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' : 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: 8 Groebner basis: [ t - 173/45*c_1100_0^7 + 86/5*c_1100_0^6 - 961/45*c_1100_0^5 + 436/45*c_1100_0^4 + 125/9*c_1100_0^3 - 1537/45*c_1100_0^2 + 1582/45*c_1100_0 - 409/45, c_0011_0 - 1, c_0011_3 + 32/3*c_1100_0^7 - 49*c_1100_0^6 + 196/3*c_1100_0^5 - 112/3*c_1100_0^4 - 76/3*c_1100_0^3 + 256/3*c_1100_0^2 - 280/3*c_1100_0 + 79/3, c_0011_4 - 9*c_1100_0^7 + 41*c_1100_0^6 - 54*c_1100_0^5 + 31*c_1100_0^4 + 22*c_1100_0^3 - 72*c_1100_0^2 + 77*c_1100_0 - 21, c_0101_0 + 20/3*c_1100_0^7 - 31*c_1100_0^6 + 127/3*c_1100_0^5 - 73/3*c_1100_0^4 - 49/3*c_1100_0^3 + 163/3*c_1100_0^2 - 181/3*c_1100_0 + 52/3, c_0101_2 + 16/3*c_1100_0^7 - 24*c_1100_0^6 + 92/3*c_1100_0^5 - 50/3*c_1100_0^4 - 41/3*c_1100_0^3 + 122/3*c_1100_0^2 - 128/3*c_1100_0 + 32/3, c_1100_0^8 - 5*c_1100_0^7 + 8*c_1100_0^6 - 6*c_1100_0^5 - c_1100_0^4 + 9*c_1100_0^3 - 12*c_1100_0^2 + 6*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB