Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 391547658] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s684 geometric_solution 5.18270406 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 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 -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 0.279637394268 0.277384427449 2 0 3 0 0132 2310 0132 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917869057164 1.510586892549 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 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 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.139458990514 0.890592308214 5 4 2 1 3201 3201 2310 0132 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 -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 -0.139458990514 0.890592308214 4 4 3 2 1230 3012 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171619979180 1.095974041039 5 5 2 3 1302 2031 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 0 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171619979180 1.095974041039 ==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_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_5, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 43*c_0101_3^4 + 107*c_0101_3^3 - 77*c_0101_3^2 - 81*c_0101_3 + 90, c_0011_0 - 1, c_0011_1 + c_0101_3, c_0011_3 - c_0101_3^4 - 3*c_0101_3^3 + 2*c_0101_3 - 1, c_0011_4 - c_0101_3^4 - 3*c_0101_3^3 + c_0101_3^2 + 3*c_0101_3 - 2, c_0011_5 + c_0101_3^2 + c_0101_3 - 1, c_0101_3^5 + 2*c_0101_3^4 - 3*c_0101_3^3 - c_0101_3^2 + 3*c_0101_3 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_5, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 14*c_0101_3^5 + 115*c_0101_3^4 - 126*c_0101_3^3 - 729/2*c_0101_3^2 - 156*c_0101_3 - 15, c_0011_0 - 1, c_0011_1 + 22/13*c_0101_3^5 - 192/13*c_0101_3^4 + 296/13*c_0101_3^3 + 427/13*c_0101_3^2 + 14/13*c_0101_3 - 27/13, c_0011_3 + 10/13*c_0101_3^5 - 92/13*c_0101_3^4 + 170/13*c_0101_3^3 + 148/13*c_0101_3^2 - 48/13*c_0101_3 - 4/13, c_0011_4 + 2/13*c_0101_3^5 - 21/13*c_0101_3^4 + 60/13*c_0101_3^3 - 25/13*c_0101_3^2 - 46/13*c_0101_3 + 7/13, c_0011_5 - 2/13*c_0101_3^5 + 21/13*c_0101_3^4 - 60/13*c_0101_3^3 + 25/13*c_0101_3^2 + 46/13*c_0101_3 - 7/13, c_0101_3^6 - 8*c_0101_3^5 + 7*c_0101_3^4 + 30*c_0101_3^3 + 14*c_0101_3^2 - 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB