Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 4300154] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3229 geometric_solution 6.35518237 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542872228267 0.879380185375 0 3 2 4 0132 0132 3201 0132 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 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 0.804318748604 0.883527334385 1 5 0 3 2310 0132 0132 1023 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804318748604 0.883527334385 6 1 6 2 0132 0132 2310 1023 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 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 0.458017137460 0.396939872848 5 6 1 5 3012 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372984732667 0.408556643503 4 2 6 4 3120 0132 1023 1230 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 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 0.372984732667 0.408556643503 3 3 5 4 0132 3201 1023 3201 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 -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 0.721223699184 1.633356261874 ==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' : 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_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 102214/184595*c_1001_3^13 + 2174832/184595*c_1001_3^12 - 15018571/184595*c_1001_3^11 + 34744014/184595*c_1001_3^10 - 785488/36919*c_1001_3^9 - 76528706/184595*c_1001_3^8 + 7823539/36919*c_1001_3^7 + 95997694/184595*c_1001_3^6 - 42290494/184595*c_1001_3^5 - 93590814/184595*c_1001_3^4 + 24634229/184595*c_1001_3^3 + 11174225/36919*c_1001_3^2 - 6103026/184595*c_1001_3 - 2975928/36919, c_0011_0 - 1, c_0011_2 - 52991/184595*c_1001_3^13 + 709211/184595*c_1001_3^12 - 2466453/184595*c_1001_3^11 + 1651103/184595*c_1001_3^10 + 5103802/184595*c_1001_3^9 - 5591814/184595*c_1001_3^8 - 6696358/184595*c_1001_3^7 + 6685236/184595*c_1001_3^6 + 7640781/184595*c_1001_3^5 - 4493538/184595*c_1001_3^4 - 5395621/184595*c_1001_3^3 + 1200392/184595*c_1001_3^2 + 1752941/184595*c_1001_3 + 81282/184595, c_0011_4 - 294043/922975*c_1001_3^13 + 751214/184595*c_1001_3^12 - 469319/36919*c_1001_3^11 + 5904852/922975*c_1001_3^10 + 23274254/922975*c_1001_3^9 - 21650142/922975*c_1001_3^8 - 25542931/922975*c_1001_3^7 + 22927058/922975*c_1001_3^6 + 24437216/922975*c_1001_3^5 - 16068152/922975*c_1001_3^4 - 14309126/922975*c_1001_3^3 + 7907224/922975*c_1001_3^2 + 3515443/922975*c_1001_3 - 1610056/922975, c_0101_0 + 243879/922975*c_1001_3^13 - 715742/184595*c_1001_3^12 + 603686/36919*c_1001_3^11 - 16704831/922975*c_1001_3^10 - 26983112/922975*c_1001_3^9 + 53594201/922975*c_1001_3^8 + 26107493/922975*c_1001_3^7 - 66447474/922975*c_1001_3^6 - 33975873/922975*c_1001_3^5 + 52199356/922975*c_1001_3^4 + 28952928/922975*c_1001_3^3 - 21604222/922975*c_1001_3^2 - 10010129/922975*c_1001_3 + 2262218/922975, c_0101_1 + 284504/922975*c_1001_3^13 - 130799/36919*c_1001_3^12 + 1371834/184595*c_1001_3^11 + 6989534/922975*c_1001_3^10 - 25934397/922975*c_1001_3^9 - 4920574/922975*c_1001_3^8 + 39353083/922975*c_1001_3^7 + 7212701/922975*c_1001_3^6 - 33824683/922975*c_1001_3^5 - 12351609/922975*c_1001_3^4 + 16647013/922975*c_1001_3^3 + 7023693/922975*c_1001_3^2 - 3112004/922975*c_1001_3 - 581067/922975, c_0101_6 - c_1001_3, c_1001_3^14 - 12*c_1001_3^13 + 30*c_1001_3^12 + 11*c_1001_3^11 - 95*c_1001_3^10 + 10*c_1001_3^9 + 149*c_1001_3^8 - 5*c_1001_3^7 - 155*c_1001_3^6 - 22*c_1001_3^5 + 99*c_1001_3^4 + 28*c_1001_3^3 - 30*c_1001_3^2 - 11*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB