Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 3701293117] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2065 geometric_solution 5.58594038 oriented_manifold CS_known 0.0000000000000002 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 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 0.534200022631 0.132057366602 2 0 2 0 0132 2310 1023 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 0 -1 1 1 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 0.701650451281 0.304050703106 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 -1 0 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 1.371226955249 1.270700082570 5 2 6 4 0132 0132 0132 3120 0 0 0 0 0 1 0 -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 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 0.542249042066 0.592377806142 3 6 2 5 3120 3201 0132 1023 0 0 0 0 0 1 -1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542249042066 0.592377806142 3 5 5 4 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 1.159232754618 0.918492828310 6 6 4 3 1230 3012 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444273159808 0.589568878262 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_1']), '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' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_6']), '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_4, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 228417/26275*c_0101_6^7 - 664071/26275*c_0101_6^5 + 1586616/5255*c_0101_6^3 - 12284369/26275*c_0101_6, c_0011_0 - 1, c_0011_1 + 59/1051*c_0101_6^6 - 120/1051*c_0101_6^4 + 1860/1051*c_0101_6^2 - 711/1051, c_0011_4 + 37/1051*c_0101_6^6 - 4/1051*c_0101_6^4 + 1113/1051*c_0101_6^2 - 339/1051, c_0011_6 - 13/1051*c_0101_6^6 - 27/1051*c_0101_6^4 - 107/1051*c_0101_6^2 - 449/1051, c_0101_0 + 22/1051*c_0101_6^7 - 116/1051*c_0101_6^5 + 747/1051*c_0101_6^3 - 2474/1051*c_0101_6, c_0101_5 + 22/1051*c_0101_6^7 - 116/1051*c_0101_6^5 + 747/1051*c_0101_6^3 - 2474/1051*c_0101_6, c_0101_6^8 - 3*c_0101_6^6 + 35*c_0101_6^4 - 57*c_0101_6^2 + 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5/9*c_0101_6^7 + 31/9*c_0101_6^5 - 4/9*c_0101_6^3 + 7/9*c_0101_6, c_0011_0 - 1, c_0011_1 - 3/13*c_0101_6^6 + 16/13*c_0101_6^4 + 20/13*c_0101_6^2 - 1/13, c_0011_4 + 3/13*c_0101_6^6 - 16/13*c_0101_6^4 - 7/13*c_0101_6^2 + 1/13, c_0011_6 + 5/13*c_0101_6^6 - 31/13*c_0101_6^4 - 3/13*c_0101_6^2 + 19/13, c_0101_0 + 6/13*c_0101_6^7 - 32/13*c_0101_6^5 - 27/13*c_0101_6^3 + 2/13*c_0101_6, c_0101_5 - 6/13*c_0101_6^7 + 32/13*c_0101_6^5 + 27/13*c_0101_6^3 - 2/13*c_0101_6, c_0101_6^8 - 5*c_0101_6^6 - 7*c_0101_6^4 + c_0101_6^2 + 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 29163911/51008*c_0101_6^11 + 16506343179/51008*c_0101_6^9 - 32293798285/25504*c_0101_6^7 + 28936207925/25504*c_0101_6^5 - 12330180175/51008*c_0101_6^3 + 685546491/51008*c_0101_6, c_0011_0 - 1, c_0011_1 + 30109/51008*c_0101_6^10 - 17039137/51008*c_0101_6^8 + 32742591/25504*c_0101_6^6 - 27606831/25504*c_0101_6^4 + 9165301/51008*c_0101_6^2 - 367889/51008, c_0011_4 - 1137/6376*c_0101_6^10 + 2573881/25504*c_0101_6^8 - 4973877/12752*c_0101_6^6 + 2136107/6376*c_0101_6^4 - 753101/12752*c_0101_6^2 + 50835/25504, c_0011_6 - 22717/51008*c_0101_6^10 + 12855681/51008*c_0101_6^8 - 24644189/25504*c_0101_6^6 + 20647273/25504*c_0101_6^4 - 6735353/51008*c_0101_6^2 + 256893/51008, c_0101_0 - 79931/51008*c_0101_6^11 + 45231369/51008*c_0101_6^9 - 86133561/25504*c_0101_6^7 + 70394183/25504*c_0101_6^5 - 20037299/51008*c_0101_6^3 + 538953/51008*c_0101_6, c_0101_5 + 12447/12752*c_0101_6^11 - 7043991/12752*c_0101_6^9 + 13548787/6376*c_0101_6^7 - 11481393/6376*c_0101_6^5 + 3954227/12752*c_0101_6^3 - 173231/12752*c_0101_6, c_0101_6^12 - 566*c_0101_6^10 + 2223*c_0101_6^8 - 2020*c_0101_6^6 + 463*c_0101_6^4 - 38*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB