Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 1090575704] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s643 geometric_solution 5.13754964 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 0.958521677727 0.687885002675 0 3 5 5 0132 3201 1230 0132 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 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 0.417835771012 0.169083994501 3 0 2 2 1230 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782083699307 1.096892193526 5 2 1 0 0132 3012 2310 0132 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 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 1.001936351089 0.629170754274 4 4 0 5 1302 2031 0132 0321 0 0 0 0 0 -1 0 1 1 0 0 -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 0 -1 1 0 1 0 0 -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 0.782083699307 1.096892193526 3 4 1 1 0132 0321 0132 3012 0 0 0 0 0 -1 0 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 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 0.713594241206 0.997560646312 ==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_3'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - c_0101_3^5 - 5*c_0101_3^4 + 5*c_0101_3^3 + 24*c_0101_3^2 - 7*c_0101_3 - 24, c_0011_0 - 1, c_0011_3 - c_0101_3^4 + 3*c_0101_3^2 - 1, c_0011_4 - c_0101_3^3 + 2*c_0101_3, c_0101_0 + c_0101_3^2 - 1, c_0101_2 - c_0101_3^3 + 2*c_0101_3, c_0101_3^6 + c_0101_3^5 - 5*c_0101_3^4 - 4*c_0101_3^3 + 6*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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 69/226*c_0101_3^7 - 155/226*c_0101_3^6 + 222/113*c_0101_3^5 - 3/113*c_0101_3^4 + 179/226*c_0101_3^3 + 245/226*c_0101_3^2 + 371/226*c_0101_3 + 37/113, c_0011_0 - 1, c_0011_3 - 33/113*c_0101_3^7 + 25/113*c_0101_3^6 - 119/113*c_0101_3^5 - 287/113*c_0101_3^4 - 120/113*c_0101_3^3 - 353/113*c_0101_3^2 - 202/113*c_0101_3 - 114/113, c_0011_4 + 47/113*c_0101_3^7 - 63/113*c_0101_3^6 + 214/113*c_0101_3^5 + 217/113*c_0101_3^4 + 212/113*c_0101_3^3 + 85/113*c_0101_3^2 + 274/113*c_0101_3 - 2/113, c_0101_0 - 2/113*c_0101_3^7 - 43/113*c_0101_3^6 + 51/113*c_0101_3^5 - 216/113*c_0101_3^4 - 223/113*c_0101_3^3 - 220/113*c_0101_3^2 - 91/113*c_0101_3 - 161/113, c_0101_2 - 47/113*c_0101_3^7 + 63/113*c_0101_3^6 - 214/113*c_0101_3^5 - 217/113*c_0101_3^4 - 212/113*c_0101_3^3 - 85/113*c_0101_3^2 - 274/113*c_0101_3 - 111/113, c_0101_3^8 - 2*c_0101_3^7 + 6*c_0101_3^6 + c_0101_3^5 + 3*c_0101_3^4 + 4*c_0101_3^3 + 3*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB