Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 2176851434] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s874 geometric_solution 5.56366782 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 1023 0 0 0 0 0 -1 1 0 -1 0 0 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 1 0 -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 -0.293424450583 1.001441184890 0 4 3 3 0132 0132 0213 2310 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 -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 0.269448305785 0.919611948071 4 0 5 0 0132 0132 0132 1023 0 0 0 0 0 1 0 -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 -1 0 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 -0.293424450583 1.001441184890 1 1 5 0 3201 0213 1023 0132 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 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 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269448305785 0.919611948071 2 1 5 5 0132 0132 0213 2310 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 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 0.269448305785 0.919611948071 4 4 3 2 3201 0213 1023 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269448305785 0.919611948071 ==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' : negation(d['c_1100_0']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_0']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0101_2^2 + c_0101_2 + 5, c_0011_0 - 1, c_0011_3 - c_0101_2^2 - c_0101_2 - 1, c_0011_5 + c_0101_2^2 + c_0101_2 + 1, c_0101_0 + c_0101_2, c_0101_2^3 + c_0101_2^2 + 2*c_0101_2 + 1, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 100*c_0101_2^5 + 250*c_0101_2^4 + 155*c_0101_2^3 - 160*c_0101_2^2 - 165*c_0101_2 - 42, c_0011_0 - 1, c_0011_3 + 50/7*c_0101_2^5 + 145/7*c_0101_2^4 + 115/7*c_0101_2^3 - 69/7*c_0101_2^2 - 111/7*c_0101_2 - 30/7, c_0011_5 + 195/7*c_0101_2^5 + 485/7*c_0101_2^4 + 291/7*c_0101_2^3 - 316/7*c_0101_2^2 - 309/7*c_0101_2 - 68/7, c_0101_0 - 145/7*c_0101_2^5 - 340/7*c_0101_2^4 - 176/7*c_0101_2^3 + 247/7*c_0101_2^2 + 191/7*c_0101_2 + 31/7, c_0101_2^6 + 3*c_0101_2^5 + 14/5*c_0101_2^4 - 4/5*c_0101_2^3 - 12/5*c_0101_2^2 - 6/5*c_0101_2 - 1/5, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB