Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 3229703206] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1877 geometric_solution 5.50507192 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.483906254401 0.340187275085 2 0 3 0 0132 2310 0132 0132 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.133080238257 0.632074588013 1 4 3 5 0132 0132 3012 0132 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 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 1.107258018487 0.798237198668 5 2 4 1 1023 1230 1023 0132 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 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.107258018487 0.798237198668 4 2 3 4 3012 0132 1023 1230 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 0 0 0 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 0.369863341128 0.536237889227 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.838399343601 0.461189063892 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.545450421942 0.461725392249 ==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_2_6' : d['1'], 's_1_6' : 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_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 133773985/93551*c_0101_6^7 + 29940921/93551*c_0101_6^6 - 140550438/93551*c_0101_6^5 + 834082366/93551*c_0101_6^4 - 855644259/93551*c_0101_6^3 - 4356383477/93551*c_0101_6^2 + 1509848086/93551*c_0101_6 + 595930186/93551, c_0011_0 - 1, c_0011_1 + 2648/5503*c_0101_6^7 - 784/5503*c_0101_6^6 + 3063/5503*c_0101_6^5 - 17011/5503*c_0101_6^4 + 18742/5503*c_0101_6^3 + 84084/5503*c_0101_6^2 - 31713/5503*c_0101_6 - 7933/5503, c_0011_3 + 8617/5503*c_0101_6^7 - 2252/5503*c_0101_6^6 + 9051/5503*c_0101_6^5 - 54282/5503*c_0101_6^4 + 57710/5503*c_0101_6^3 + 280048/5503*c_0101_6^2 - 105778/5503*c_0101_6 - 38145/5503, c_0101_0 + 11968/5503*c_0101_6^7 - 2629/5503*c_0101_6^6 + 12763/5503*c_0101_6^5 - 74556/5503*c_0101_6^4 + 77209/5503*c_0101_6^3 + 387893/5503*c_0101_6^2 - 131760/5503*c_0101_6 - 50867/5503, c_0101_1 - 5988/5503*c_0101_6^7 + 1457/5503*c_0101_6^6 - 6303/5503*c_0101_6^5 + 36913/5503*c_0101_6^4 - 38691/5503*c_0101_6^3 - 196160/5503*c_0101_6^2 + 72869/5503*c_0101_6 + 26177/5503, c_0101_3 - 784/5503*c_0101_6^7 + 415/5503*c_0101_6^6 - 1123/5503*c_0101_6^5 + 5502/5503*c_0101_6^4 - 5948/5503*c_0101_6^3 - 21121/5503*c_0101_6^2 + 16106/5503*c_0101_6 + 2648/5503, c_0101_6^8 + c_0101_6^6 - 6*c_0101_6^5 + 5*c_0101_6^4 + 34*c_0101_6^3 - 4*c_0101_6^2 - 7*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 149/4*c_0101_6^7 + 4485/14*c_0101_6^6 - 31891/28*c_0101_6^5 + 58307/28*c_0101_6^4 - 26135/14*c_0101_6^3 + 7181/28*c_0101_6^2 + 26795/28*c_0101_6 - 8891/14, c_0011_0 - 1, c_0011_1 + c_0101_6^7 - 8*c_0101_6^6 + 25*c_0101_6^5 - 38*c_0101_6^4 + 25*c_0101_6^3 + 5*c_0101_6^2 - 18*c_0101_6 + 6, c_0011_3 + c_0101_6^6 - 5*c_0101_6^5 + 9*c_0101_6^4 - 6*c_0101_6^3 - c_0101_6^2 + 4*c_0101_6 - 1, c_0101_0 - c_0101_6^7 + 8*c_0101_6^6 - 25*c_0101_6^5 + 37*c_0101_6^4 - 21*c_0101_6^3 - 9*c_0101_6^2 + 17*c_0101_6 - 4, c_0101_1 + c_0101_6^7 - 6*c_0101_6^6 + 14*c_0101_6^5 - 14*c_0101_6^4 + 2*c_0101_6^3 + 7*c_0101_6^2 - 4*c_0101_6 + 1, c_0101_3 - 2*c_0101_6^7 + 14*c_0101_6^6 - 39*c_0101_6^5 + 53*c_0101_6^4 - 30*c_0101_6^3 - 10*c_0101_6^2 + 23*c_0101_6 - 7, c_0101_6^8 - 9*c_0101_6^7 + 34*c_0101_6^6 - 68*c_0101_6^5 + 72*c_0101_6^4 - 26*c_0101_6^3 - 24*c_0101_6^2 + 28*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB