Magma V2.19-8 Tue Aug 20 2013 16:14:34 on localhost [Seed = 240095745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s547 geometric_solution 4.97179005 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 -1 0 1 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 1 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 0.484654066502 0.317696111403 0 3 0 3 0132 0132 2310 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.443194310088 0.946029863368 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 0 0 0 0 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072151623410 0.628333751965 1 1 4 5 3201 0132 1230 3012 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 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 -0.180374927660 1.570798406198 2 4 4 3 0132 1230 3012 3012 0 0 0 0 0 -1 1 0 0 0 1 -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 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077219475735 0.837111319759 5 5 3 2 1302 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.707931305149 0.827103093816 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], '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_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1917/3380*c_0101_2^9 - 8573/3380*c_0101_2^8 - 14747/3380*c_0101_2^7 - 961/3380*c_0101_2^6 + 44589/3380*c_0101_2^5 + 98639/3380*c_0101_2^4 + 53509/1690*c_0101_2^3 + 58739/3380*c_0101_2^2 + 587/338*c_0101_2 - 13803/3380, c_0011_0 - 1, c_0011_2 - 1/169*c_0101_2^9 - 40/169*c_0101_2^8 - 94/169*c_0101_2^7 - 2/169*c_0101_2^6 + 288/169*c_0101_2^5 + 439/169*c_0101_2^4 + 295/169*c_0101_2^3 - 10/169*c_0101_2^2 - 27/169*c_0101_2 + 33/169, c_0011_5 - 55/338*c_0101_2^9 - 341/338*c_0101_2^8 - 607/338*c_0101_2^7 + 59/338*c_0101_2^6 + 2151/338*c_0101_2^5 + 3865/338*c_0101_2^4 + 1606/169*c_0101_2^3 + 295/338*c_0101_2^2 - 489/169*c_0101_2 - 889/338, c_0101_0 - 88/169*c_0101_2^9 - 309/169*c_0101_2^8 - 329/169*c_0101_2^7 + 500/169*c_0101_2^6 + 1853/169*c_0101_2^5 + 2466/169*c_0101_2^4 + 1286/169*c_0101_2^3 - 204/169*c_0101_2^2 - 686/169*c_0101_2 - 307/169, c_0101_1 - 1, c_0101_2^10 + 4*c_0101_2^9 + 6*c_0101_2^8 - 2*c_0101_2^7 - 22*c_0101_2^6 - 42*c_0101_2^5 - 39*c_0101_2^4 - 17*c_0101_2^3 + 5*c_0101_2^2 + 9*c_0101_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB