Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 2227509416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s217 geometric_solution 4.36060143 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 2 0132 2310 0132 2310 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 -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 1.980608029307 0.710797636269 0 1 1 0 0132 3201 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 -0.679156461878 0.118177409261 0 3 4 0 3201 0132 0132 0132 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 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 0.866181835450 0.628938230247 5 2 4 4 0132 0132 1302 3201 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 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 0.386978848624 0.595276365946 3 3 5 2 2031 2310 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.386978848624 0.595276365946 3 5 4 5 0132 2310 1023 3201 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 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 0.201374803119 0.884400515421 ==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_5' : d['1'], 's_3_4' : 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_0011_2']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 60744229/8131295*c_0101_5^11 - 236287832/8131295*c_0101_5^10 + 19130262/8131295*c_0101_5^9 - 343095932/8131295*c_0101_5^8 - 313244358/8131295*c_0101_5^7 + 1842784187/8131295*c_0101_5^6 + 46715212/8131295*c_0101_5^5 - 309763843/1626259*c_0101_5^4 - 302585773/8131295*c_0101_5^3 + 769477567/8131295*c_0101_5^2 + 389269878/8131295*c_0101_5 - 343493374/8131295, c_0011_0 - 1, c_0011_2 + 532040/1626259*c_0101_5^11 + 2411320/1626259*c_0101_5^10 + 1093830/1626259*c_0101_5^9 + 2480759/1626259*c_0101_5^8 + 3788908/1626259*c_0101_5^7 - 16174264/1626259*c_0101_5^6 - 13184853/1626259*c_0101_5^5 + 11372278/1626259*c_0101_5^4 + 12603877/1626259*c_0101_5^3 - 1035669/1626259*c_0101_5^2 - 6835666/1626259*c_0101_5 - 381007/1626259, c_0011_4 - 1737024/1626259*c_0101_5^11 - 7912426/1626259*c_0101_5^10 - 4723900/1626259*c_0101_5^9 - 12680505/1626259*c_0101_5^8 - 16143392/1626259*c_0101_5^7 + 42304357/1626259*c_0101_5^6 + 31722105/1626259*c_0101_5^5 - 21229641/1626259*c_0101_5^4 - 30627304/1626259*c_0101_5^3 - 2193375/1626259*c_0101_5^2 + 11928475/1626259*c_0101_5 + 1466352/1626259, c_0101_0 + 813200/1626259*c_0101_5^11 + 4134925/1626259*c_0101_5^10 + 4080877/1626259*c_0101_5^9 + 6842756/1626259*c_0101_5^8 + 11022573/1626259*c_0101_5^7 - 16534244/1626259*c_0101_5^6 - 24894069/1626259*c_0101_5^5 + 4684472/1626259*c_0101_5^4 + 17138518/1626259*c_0101_5^3 + 7548822/1626259*c_0101_5^2 - 5281794/1626259*c_0101_5 - 2660751/1626259, c_0101_1 - 1453864/1626259*c_0101_5^11 - 6818596/1626259*c_0101_5^10 - 4903341/1626259*c_0101_5^9 - 11551797/1626259*c_0101_5^8 - 15824416/1626259*c_0101_5^7 + 32311744/1626259*c_0101_5^6 + 28729303/1626259*c_0101_5^5 - 15010244/1626259*c_0101_5^4 - 25810533/1626259*c_0101_5^3 - 2082382/1626259*c_0101_5^2 + 11045567/1626259*c_0101_5 + 934312/1626259, c_0101_5^12 + 4*c_0101_5^11 + 5*c_0101_5^9 + 5*c_0101_5^8 - 31*c_0101_5^7 - 6*c_0101_5^6 + 27*c_0101_5^5 + 12*c_0101_5^4 - 11*c_0101_5^3 - 10*c_0101_5^2 + 4*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB