Magma V2.19-8 Tue Aug 20 2013 16:09:04 on localhost [Seed = 2699116074] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m374 geometric_solution 4.75293061 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 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 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 0.861785951057 1.071655881659 0 2 1 1 0132 1302 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.629089257584 0.653623663627 3 0 4 1 0213 0132 2031 2031 0 0 0 0 0 1 0 -1 0 0 0 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544298968877 0.566677479114 2 3 3 0 0213 3201 2310 0132 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 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 -0.089673113311 0.783929417920 4 4 0 2 1230 3012 0132 1302 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 1 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 0.364865604983 0.766973956717 ==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' : negation(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_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2240187/503801*c_0101_1^11 - 2876069/503801*c_0101_1^10 + 15019206/503801*c_0101_1^9 + 13287689/503801*c_0101_1^8 - 3896590/503801*c_0101_1^7 - 7635983/503801*c_0101_1^6 - 31884985/503801*c_0101_1^5 + 15365640/503801*c_0101_1^4 + 16917196/503801*c_0101_1^3 - 11256126/503801*c_0101_1^2 + 10868927/503801*c_0101_1 - 9598591/503801, c_0011_0 - 1, c_0011_3 + 42934/503801*c_0101_1^11 - 38847/503801*c_0101_1^10 - 492242/503801*c_0101_1^9 + 215856/503801*c_0101_1^8 + 1120874/503801*c_0101_1^7 + 761056/503801*c_0101_1^6 + 384560/503801*c_0101_1^5 - 1632831/503801*c_0101_1^4 - 615125/503801*c_0101_1^3 + 782914/503801*c_0101_1^2 + 281658/503801*c_0101_1 + 231908/503801, c_0011_4 + 164896/503801*c_0101_1^11 + 201915/503801*c_0101_1^10 - 1161447/503801*c_0101_1^9 - 986404/503801*c_0101_1^8 + 629644/503801*c_0101_1^7 + 924154/503801*c_0101_1^6 + 2253504/503801*c_0101_1^5 - 1344023/503801*c_0101_1^4 - 1961775/503801*c_0101_1^3 + 780857/503801*c_0101_1^2 - 332882/503801*c_0101_1 + 444289/503801, c_0101_0 - 1825/8539*c_0101_1^11 - 4195/8539*c_0101_1^10 + 8380/8539*c_0101_1^9 + 20405/8539*c_0101_1^8 + 14824/8539*c_0101_1^7 + 2219/8539*c_0101_1^6 - 20586/8539*c_0101_1^5 - 3243/8539*c_0101_1^4 + 12353/8539*c_0101_1^3 - 125/8539*c_0101_1^2 - 980/8539*c_0101_1 - 4666/8539, c_0101_1^12 + c_0101_1^11 - 7*c_0101_1^10 - 4*c_0101_1^9 + 3*c_0101_1^8 + 3*c_0101_1^7 + 13*c_0101_1^6 - 11*c_0101_1^5 - 5*c_0101_1^4 + 6*c_0101_1^3 - 5*c_0101_1^2 + 5*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB