Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 1932717951] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s524 geometric_solution 4.93310241 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731025919685 1.399987170329 3 2 4 0 0132 1023 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 -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 -0.170516731652 1.377764048741 1 3 0 4 1023 2310 0132 3201 0 0 0 0 0 0 1 -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 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 -0.170516731652 1.377764048741 1 3 3 2 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088473964001 0.714863847494 5 2 5 1 0132 2310 2310 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 -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 0.615016683304 0.545495099767 4 4 5 5 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455873628775 0.168796323621 ==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' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4973/86*c_0101_1*c_0101_4^7 - 30767/86*c_0101_1*c_0101_4^6 + 22774/43*c_0101_1*c_0101_4^5 + 30532/43*c_0101_1*c_0101_4^4 - 43089/43*c_0101_1*c_0101_4^3 - 52785/86*c_0101_1*c_0101_4^2 + 24819/86*c_0101_1*c_0101_4 + 24689/86*c_0101_1, c_0011_0 - 1, c_0011_1 - 29/86*c_0101_1*c_0101_4^7 + 161/86*c_0101_1*c_0101_4^6 - 145/86*c_0101_1*c_0101_4^5 - 300/43*c_0101_1*c_0101_4^4 + 278/43*c_0101_1*c_0101_4^3 + 289/86*c_0101_1*c_0101_4^2 - 41/43*c_0101_1*c_0101_4 - 52/43*c_0101_1, c_0011_4 + 3/86*c_0101_4^7 - 15/43*c_0101_4^6 + 101/86*c_0101_4^5 - 52/43*c_0101_4^4 - 59/86*c_0101_4^3 + 65/86*c_0101_4^2 - 79/86*c_0101_4 + 33/86, c_0101_0 + 55/86*c_0101_1*c_0101_4^7 - 189/43*c_0101_1*c_0101_4^6 + 374/43*c_0101_1*c_0101_4^5 + 229/86*c_0101_1*c_0101_4^4 - 548/43*c_0101_1*c_0101_4^3 - 213/86*c_0101_1*c_0101_4^2 + 415/86*c_0101_1*c_0101_4 + 109/43*c_0101_1, c_0101_1^2 - 6/43*c_0101_4^7 + 77/86*c_0101_4^6 - 73/43*c_0101_4^5 - 7/43*c_0101_4^4 + 107/86*c_0101_4^3 - 87/43*c_0101_4^2 + 15/86*c_0101_4 - 3/86, c_0101_4^8 - 6*c_0101_4^7 + 8*c_0101_4^6 + 14*c_0101_4^5 - 15*c_0101_4^4 - 14*c_0101_4^3 + 3*c_0101_4^2 + 6*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB