Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3153733558] 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' : 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' : negation(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_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: 18 Groebner basis: [ t - 367736382912/29529685591*c_0101_2^16 - 1328853377792/29529685591*c_0101_2^14 - 3074486511361/29529685591*c_0101_2^12 + 6387234631223/29529685591*c_0101_2^10 - 589137415331/4218526513*c_0101_2^8 + 6750532432850/29529685591*c_0101_2^6 - 4990948960957/29529685591*c_0101_2^4 + 169498466636/4218526513*c_0101_2^2 + 124859424147/29529685591, c_0011_0 - 1, c_0011_2 - 8072787584/4218526513*c_0101_2^17 - 21473964656/4218526513*c_0101_2^15 - 39518770848/4218526513*c_0101_2^13 + 205653594097/4218526513*c_0101_2^11 - 220936504145/4218526513*c_0101_2^9 + 236434685730/4218526513*c_0101_2^7 - 257113327457/4218526513*c_0101_2^5 + 131776332143/4218526513*c_0101_2^3 - 24338533874/4218526513*c_0101_2, c_0011_5 - 9505160984/4218526513*c_0101_2^16 - 31405367229/4218526513*c_0101_2^14 - 67649042284/4218526513*c_0101_2^12 + 195079024575/4218526513*c_0101_2^10 - 143584497317/4218526513*c_0101_2^8 + 196990092274/4218526513*c_0101_2^6 - 186718285913/4218526513*c_0101_2^4 + 55622662813/4218526513*c_0101_2^2 - 6822733733/4218526513, c_0101_0 + 2342729752/4218526513*c_0101_2^16 + 8291852437/4218526513*c_0101_2^14 + 18940903389/4218526513*c_0101_2^12 - 41969059173/4218526513*c_0101_2^10 + 30193615477/4218526513*c_0101_2^8 - 41759215821/4218526513*c_0101_2^6 + 32325362144/4218526513*c_0101_2^4 - 8565077300/4218526513*c_0101_2^2 - 2021282942/4218526513, c_0101_1 + 2485248056/4218526513*c_0101_2^16 + 7021364361/4218526513*c_0101_2^14 + 12862039766/4218526513*c_0101_2^12 - 63570703084/4218526513*c_0101_2^10 + 50497059346/4218526513*c_0101_2^8 - 64544449615/4218526513*c_0101_2^6 + 69191479218/4218526513*c_0101_2^4 - 20661770092/4218526513*c_0101_2^2 + 5826363422/4218526513, c_0101_2^18 + 23/8*c_0101_2^16 + 45/8*c_0101_2^14 - 191/8*c_0101_2^12 + 185/8*c_0101_2^10 - 211/8*c_0101_2^8 + 221/8*c_0101_2^6 - 25/2*c_0101_2^4 + 5/2*c_0101_2^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB