Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 3153733560] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s442 geometric_solution 4.75170197 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 -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 1.937546618776 1.106299642830 0 3 3 0 0132 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445836670723 0.526084719099 0 4 5 0 3201 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 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 0.545212599839 0.715953029988 1 1 4 5 2310 0132 1302 1302 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326769629197 0.884061234093 3 2 4 4 2031 0132 2031 1302 0 0 0 0 0 1 0 -1 0 0 1 -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 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 0.392334018937 0.390346612842 5 5 3 2 1302 2031 2031 0132 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 -1 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 0.392334018937 0.390346612842 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0110_4'], '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_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 203/508*c_0110_4^10 + 663/508*c_0110_4^8 - 194/127*c_0110_4^6 + 1831/254*c_0110_4^4 - 8369/508*c_0110_4^2 + 4601/508, c_0011_0 - 1, c_0011_2 - 48/127*c_0110_4^10 + 11/127*c_0110_4^8 - 69/127*c_0110_4^6 + 595/127*c_0110_4^4 - 72/127*c_0110_4^2 + 25/127, c_0011_5 + 30/127*c_0110_4^10 + 9/127*c_0110_4^8 + 59/127*c_0110_4^6 - 356/127*c_0110_4^4 - 82/127*c_0110_4^2 - 95/127, c_0101_0 + 1, c_0101_1 + 76/127*c_0110_4^11 - 28/127*c_0110_4^9 + 141/127*c_0110_4^7 - 995/127*c_0110_4^5 + 241/127*c_0110_4^3 - 156/127*c_0110_4, c_0110_4^12 - c_0110_4^10 + 2*c_0110_4^8 - 14*c_0110_4^6 + 11*c_0110_4^4 - 3*c_0110_4^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB