Magma V2.19-8 Tue Aug 20 2013 16:08:57 on localhost [Seed = 139040432] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m212 geometric_solution 4.08229647 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1023 0132 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 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 -0.053981180765 0.854928393059 0 1 1 2 0132 1230 3012 2310 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581399392608 1.052872981682 1 0 0 3 3201 0132 1023 3201 0 0 0 0 0 1 -1 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 1 0 -1 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 -0.053981180765 0.854928393059 4 2 0 4 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0.160999370203 0.784059902385 3 3 4 4 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.044836906219 0.585646918407 ==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_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6403/8635*c_0101_4^9 - 3592/8635*c_0101_4^8 + 5098/785*c_0101_4^7 - 47206/8635*c_0101_4^6 - 27563/8635*c_0101_4^5 - 6386/8635*c_0101_4^4 + 40023/8635*c_0101_4^3 + 3644/8635*c_0101_4^2 - 12902/8635*c_0101_4 + 30556/8635, c_0011_0 - 1, c_0011_3 + 901/1727*c_0101_4^9 + 896/1727*c_0101_4^8 - 708/157*c_0101_4^7 + 3471/1727*c_0101_4^6 + 8187/1727*c_0101_4^5 - 611/1727*c_0101_4^4 - 4714/1727*c_0101_4^3 - 1559/1727*c_0101_4^2 + 3026/1727*c_0101_4 - 2741/1727, c_0101_0 + 756/1727*c_0101_4^9 + 1346/1727*c_0101_4^8 - 451/157*c_0101_4^7 - 279/1727*c_0101_4^6 + 2781/1727*c_0101_4^5 + 3018/1727*c_0101_4^4 + 1885/1727*c_0101_4^3 - 827/1727*c_0101_4^2 + 421/1727*c_0101_4 - 1238/1727, c_0101_1 - 1566/1727*c_0101_4^9 - 2048/1727*c_0101_4^8 + 1080/157*c_0101_4^7 - 4233/1727*c_0101_4^6 - 9338/1727*c_0101_4^5 - 1564/1727*c_0101_4^4 + 4607/1727*c_0101_4^3 + 1343/1727*c_0101_4^2 - 5683/1727*c_0101_4 + 3798/1727, c_0101_4^10 + c_0101_4^9 - 8*c_0101_4^8 + 5*c_0101_4^7 + 5*c_0101_4^6 - c_0101_4^5 - 2*c_0101_4^4 + 3*c_0101_4^2 - 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB