Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 324177504] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2886 geometric_solution 6.09652917 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995714055193 0.849453058424 0 1 1 4 0132 3201 2310 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.183202485712 0.793750844245 5 0 3 6 0132 0132 3012 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 -1 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 0.580458168705 0.490967706203 5 2 6 0 2103 1230 2103 0132 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 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 1.346870735642 0.796267181802 6 5 0 1 3201 3120 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418736610390 0.495881283867 2 4 3 6 0132 3120 2103 2031 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 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 0.972124038529 0.627588541911 3 5 2 4 2103 1302 0132 2310 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 -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 0.434850562196 1.450672469755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 8057867745/493927619*c_0101_3^12 + 39683200619/987855238*c_0101_3^11 - 11778505289/987855238*c_0101_3^10 - 2370976346/493927619*c_0101_3^9 + 240245183201/987855238*c_0101_3^8 - 65390836855/987855238*c_0101_3^7 + 214246399096/493927619*c_0101_3^6 + 236250941559/987855238*c_0101_3^5 + 96268273968/493927619*c_0101_3^4 - 80185482953/987855238*c_0101_3^3 - 29417808848/493927619*c_0101_3^2 - 150931427111/987855238*c_0101_3 + 38801671803/987855238, c_0011_0 - 1, c_0011_3 + 25232222/15933149*c_0101_3^12 - 60339154/15933149*c_0101_3^11 + 14364860/15933149*c_0101_3^10 + 6792241/15933149*c_0101_3^9 - 371464604/15933149*c_0101_3^8 + 72658200/15933149*c_0101_3^7 - 670385763/15933149*c_0101_3^6 - 397180087/15933149*c_0101_3^5 - 357160679/15933149*c_0101_3^4 + 124585771/15933149*c_0101_3^3 + 95233516/15933149*c_0101_3^2 + 236929093/15933149*c_0101_3 - 54159831/15933149, c_0011_4 - 15229809/15933149*c_0101_3^12 + 37077225/15933149*c_0101_3^11 - 9759926/15933149*c_0101_3^10 - 5876395/15933149*c_0101_3^9 + 227859616/15933149*c_0101_3^8 - 55513723/15933149*c_0101_3^7 + 399070982/15933149*c_0101_3^6 + 237479005/15933149*c_0101_3^5 + 177906320/15933149*c_0101_3^4 - 65703147/15933149*c_0101_3^3 - 65358179/15933149*c_0101_3^2 - 137864951/15933149*c_0101_3 + 34165294/15933149, c_0101_0 - 12509177/15933149*c_0101_3^12 + 30664573/15933149*c_0101_3^11 - 9185614/15933149*c_0101_3^10 - 2181866/15933149*c_0101_3^9 + 184681739/15933149*c_0101_3^8 - 48241645/15933149*c_0101_3^7 + 336201635/15933149*c_0101_3^6 + 177168857/15933149*c_0101_3^5 + 161393847/15933149*c_0101_3^4 - 78566499/15933149*c_0101_3^3 - 46194386/15933149*c_0101_3^2 - 135242517/15933149*c_0101_3 + 36665166/15933149, c_0101_1 - 127703/15933149*c_0101_3^12 - 977641/15933149*c_0101_3^11 + 2967685/15933149*c_0101_3^10 - 1142331/15933149*c_0101_3^9 + 2268848/15933149*c_0101_3^8 + 19397270/15933149*c_0101_3^7 - 1890895/15933149*c_0101_3^6 + 43985008/15933149*c_0101_3^5 + 25526795/15933149*c_0101_3^4 + 20934075/15933149*c_0101_3^3 + 20987789/15933149*c_0101_3^2 - 9832994/15933149*c_0101_3 - 8933072/15933149, c_0101_2 - 15229809/15933149*c_0101_3^12 + 37077225/15933149*c_0101_3^11 - 9759926/15933149*c_0101_3^10 - 5876395/15933149*c_0101_3^9 + 227859616/15933149*c_0101_3^8 - 55513723/15933149*c_0101_3^7 + 399070982/15933149*c_0101_3^6 + 237479005/15933149*c_0101_3^5 + 177906320/15933149*c_0101_3^4 - 65703147/15933149*c_0101_3^3 - 65358179/15933149*c_0101_3^2 - 137864951/15933149*c_0101_3 + 34165294/15933149, c_0101_3^13 - 3*c_0101_3^12 + 2*c_0101_3^11 - 15*c_0101_3^9 + 12*c_0101_3^8 - 28*c_0101_3^7 - 3*c_0101_3^5 + 13*c_0101_3^4 + 2*c_0101_3^3 + 7*c_0101_3^2 - 8*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB