Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3701293265] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s541 geometric_solution 4.96223122 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460884544812 0.565799140289 0 3 2 4 0132 0132 1230 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.134559378173 1.062447342427 3 0 4 1 2310 0132 2310 3012 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 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 0 0 1.134559378173 1.062447342427 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143034630350 0.541053923014 5 2 1 5 0132 3201 0132 1023 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704004066537 0.430852289438 4 5 5 4 0132 1230 3012 1023 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547689410808 0.577369840036 ==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' : 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' : 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_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1075378/608173*c_0101_5^12 - 933298/608173*c_0101_5^11 - 16009901/608173*c_0101_5^10 + 2044990/608173*c_0101_5^9 + 88347107/608173*c_0101_5^8 + 44466597/608173*c_0101_5^7 - 186066258/608173*c_0101_5^6 - 175388655/608173*c_0101_5^5 + 79048129/608173*c_0101_5^4 + 62137300/608173*c_0101_5^3 - 61375024/608173*c_0101_5^2 - 23590662/608173*c_0101_5 + 8241588/608173, c_0011_0 - 1, c_0011_4 - 61003/608173*c_0101_5^12 - 187622/608173*c_0101_5^11 + 652025/608173*c_0101_5^10 + 2660008/608173*c_0101_5^9 - 476529/608173*c_0101_5^8 - 10092570/608173*c_0101_5^7 - 7578095/608173*c_0101_5^6 + 8566496/608173*c_0101_5^5 + 7173025/608173*c_0101_5^4 - 6127379/608173*c_0101_5^3 - 2384660/608173*c_0101_5^2 + 2298383/608173*c_0101_5 - 171193/608173, c_0101_0 + 303646/608173*c_0101_5^12 + 515507/608173*c_0101_5^11 - 3387160/608173*c_0101_5^10 - 7980117/608173*c_0101_5^9 + 6895738/608173*c_0101_5^8 + 29996149/608173*c_0101_5^7 + 13503216/608173*c_0101_5^6 - 18179633/608173*c_0101_5^5 - 5253719/608173*c_0101_5^4 + 11805946/608173*c_0101_5^3 + 1001470/608173*c_0101_5^2 - 2184707/608173*c_0101_5 + 297716/608173, c_0101_1 - 63835/608173*c_0101_5^12 - 198675/608173*c_0101_5^11 + 634012/608173*c_0101_5^10 + 2775331/608173*c_0101_5^9 + 75017/608173*c_0101_5^8 - 9901820/608173*c_0101_5^7 - 9709576/608173*c_0101_5^6 + 5818701/608173*c_0101_5^5 + 8390325/608173*c_0101_5^4 - 4370220/608173*c_0101_5^3 - 4350122/608173*c_0101_5^2 + 1797568/608173*c_0101_5 + 302140/608173, c_0101_2 + 98586/608173*c_0101_5^12 + 169591/608173*c_0101_5^11 - 1185864/608173*c_0101_5^10 - 2631997/608173*c_0101_5^9 + 3217249/608173*c_0101_5^8 + 10576683/608173*c_0101_5^7 + 1287455/608173*c_0101_5^6 - 9642979/608173*c_0101_5^5 + 36369/608173*c_0101_5^4 + 6210405/608173*c_0101_5^3 - 800347/608173*c_0101_5^2 - 1518486/608173*c_0101_5 + 34751/608173, c_0101_5^13 + 2*c_0101_5^12 - 11*c_0101_5^11 - 30*c_0101_5^10 + 19*c_0101_5^9 + 112*c_0101_5^8 + 62*c_0101_5^7 - 73*c_0101_5^6 - 35*c_0101_5^5 + 54*c_0101_5^4 + 13*c_0101_5^3 - 15*c_0101_5^2 + c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB