Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 3414841292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s629 geometric_solution 5.11331175 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -1 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 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438698164497 0.175346040124 0 2 0 3 0132 0132 1023 0132 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 1 0 -1 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 0.685016917231 1.516936805406 4 1 5 3 0132 0132 0132 3120 0 0 0 0 0 1 -1 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 1 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329355343793 0.639029492852 2 5 1 4 3120 3201 0132 3201 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 -1 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 0 0 0 0 0.329355343793 0.639029492852 2 3 4 4 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362743983075 1.236431705109 5 5 3 2 1230 3012 2310 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 1 -1 0 0 0 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 0.599100113168 0.954441619537 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 10558342447467311/78858231599511936*c_0101_5^17 - 30564543929902765/78858231599511936*c_0101_5^15 - 708430691439657949/39429115799755968*c_0101_5^13 - 336828090777967621/4928639474969496*c_0101_5^11 - 761624571258971/1232159868742374*c_0101_5^9 + 2351527910323579799/78858231599511936*c_0101_5^7 + 59613436006768453/3033008907673536*c_0101_5^5 + 2254644838927315979/78858231599511936*c_0101_5^3 + 764473500354364459/78858231599511936*c_0101_5, c_0011_0 - 1, c_0011_3 + 1363359753/159564862567*c_0101_5^16 - 4566035922/159564862567*c_0101_5^14 - 181560384389/159564862567*c_0101_5^12 - 611326284839/159564862567*c_0101_5^10 + 361863647326/159564862567*c_0101_5^8 + 474550263938/159564862567*c_0101_5^6 - 16038943930/159564862567*c_0101_5^4 + 234849858742/159564862567*c_0101_5^2 + 4939669489/159564862567, c_0011_5 - 91976767325/22817775347081*c_0101_5^16 + 386364060954/22817775347081*c_0101_5^14 + 11885281414909/22817775347081*c_0101_5^12 + 31202469873173/22817775347081*c_0101_5^10 - 46288457296351/22817775347081*c_0101_5^8 + 27193319350585/22817775347081*c_0101_5^6 - 1168755108696/1755213488237*c_0101_5^4 - 19576434125387/22817775347081*c_0101_5^2 - 836511596001/22817775347081, c_0101_1 + 4702457417/319129725134*c_0101_5^17 - 13216765615/319129725134*c_0101_5^15 - 316422654731/159564862567*c_0101_5^13 - 1225494306885/159564862567*c_0101_5^11 - 68126128952/159564862567*c_0101_5^9 + 1314794285565/319129725134*c_0101_5^7 + 218258354245/159564862567*c_0101_5^5 + 523949662081/319129725134*c_0101_5^3 + 496184093571/319129725134*c_0101_5, c_0101_4 - 988402406473/91271101388324*c_0101_5^17 + 4382769338715/91271101388324*c_0101_5^15 + 63779308162027/45635550694162*c_0101_5^13 + 75599073133035/22817775347081*c_0101_5^11 - 170528143997155/22817775347081*c_0101_5^9 + 101775564707815/91271101388324*c_0101_5^7 + 6172958924645/3510426976474*c_0101_5^5 - 52275894405393/91271101388324*c_0101_5^3 + 114618203784523/91271101388324*c_0101_5, c_0101_5^18 - 3*c_0101_5^16 - 134*c_0101_5^14 - 496*c_0101_5^12 + 64*c_0101_5^10 + 281*c_0101_5^8 + 126*c_0101_5^6 + 165*c_0101_5^4 + 37*c_0101_5^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB