Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3018993598] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s530 geometric_solution 4.93984554 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 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 -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 0.262876912463 0.469906761537 0 1 0 1 0132 2310 2310 3201 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 -1.175574988383 0.689379278034 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 0 1 -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 -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 0.897039824347 1.069740910228 2 4 0 5 1230 0132 0132 2310 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.897039824347 1.069740910228 2 3 4 4 0132 0132 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 -1 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 0 0 0 0.837313430038 0.962512180656 3 5 5 2 3201 3201 2310 0132 0 0 0 0 0 1 0 -1 1 0 -1 0 1 0 0 -1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.162686569962 0.962512180656 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0011_5'], 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : 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' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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: 16 Groebner basis: [ t - 434710/480507*c_0101_2^14 + 614923/160169*c_0101_2^12 - 645023/480507*c_0101_2^10 + 1532835/160169*c_0101_2^8 + 1662834/160169*c_0101_2^6 + 2929457/160169*c_0101_2^4 - 2584404/160169*c_0101_2^2 - 2363575/480507, c_0011_0 - 1, c_0011_2 + 39442/160169*c_0101_2^15 - 201040/160169*c_0101_2^13 + 211201/160169*c_0101_2^11 - 511001/160169*c_0101_2^9 - 65140/160169*c_0101_2^7 - 580261/160169*c_0101_2^5 + 1399507/160169*c_0101_2^3 - 575576/160169*c_0101_2, c_0011_5 - 35393/160169*c_0101_2^14 + 167472/160169*c_0101_2^12 - 140907/160169*c_0101_2^10 + 468407/160169*c_0101_2^8 + 183138/160169*c_0101_2^6 + 662243/160169*c_0101_2^4 - 817243/160169*c_0101_2^2 + 222831/160169, c_0101_0 - 5663/160169*c_0101_2^14 + 22067/160169*c_0101_2^12 + 6553/160169*c_0101_2^10 + 23773/160169*c_0101_2^8 + 119979/160169*c_0101_2^6 + 28300/160169*c_0101_2^4 - 89114/160169*c_0101_2^2 - 85334/160169, c_0101_1 - 18361/160169*c_0101_2^14 + 87188/160169*c_0101_2^12 - 69628/160169*c_0101_2^10 + 207550/160169*c_0101_2^8 + 165283/160169*c_0101_2^6 + 268754/160169*c_0101_2^4 - 363374/160169*c_0101_2^2 + 213136/160169, c_0101_2^16 - 5*c_0101_2^14 + 5*c_0101_2^12 - 13*c_0101_2^10 - 3*c_0101_2^8 - 15*c_0101_2^6 + 30*c_0101_2^4 - 14*c_0101_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB