Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 1461111276] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m266 geometric_solution 4.27416815 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1023 0132 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 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 -0.070941958314 0.798978577754 0 4 4 2 0132 0132 1023 2310 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 0 -1 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 0.338925310310 0.693921623845 1 0 0 3 3201 0132 1023 3201 0 0 0 0 0 1 -1 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 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 -0.070941958314 0.798978577754 3 2 0 3 3012 2310 0132 1230 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 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 0.620348424424 1.137722695237 4 1 1 4 3201 0132 1023 2310 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 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 1.507530579014 0.577412674269 ==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_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], '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_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 140/3*c_0101_4^14 - 122/3*c_0101_4^13 + 1265/3*c_0101_4^12 + 941/3*c_0101_4^11 - 4174/3*c_0101_4^10 - 2525/3*c_0101_4^9 + 6709/3*c_0101_4^8 + 2915/3*c_0101_4^7 - 1821*c_0101_4^6 - 1444/3*c_0101_4^5 + 2207/3*c_0101_4^4 + 397/3*c_0101_4^3 - 443/3*c_0101_4^2 - 49/3*c_0101_4 + 34/3, c_0011_0 - 1, c_0011_3 + 180*c_0101_4^14 + 130*c_0101_4^13 - 1753*c_0101_4^12 - 1050*c_0101_4^11 + 6462*c_0101_4^10 + 3064*c_0101_4^9 - 12021*c_0101_4^8 - 4029*c_0101_4^7 + 11963*c_0101_4^6 + 2405*c_0101_4^5 - 6230*c_0101_4^4 - 650*c_0101_4^3 + 1585*c_0101_4^2 + 65*c_0101_4 - 155, c_0101_0 - 44*c_0101_4^14 - 62*c_0101_4^13 + 387*c_0101_4^12 + 520*c_0101_4^11 - 1237*c_0101_4^10 - 1576*c_0101_4^9 + 1928*c_0101_4^8 + 2234*c_0101_4^7 - 1558*c_0101_4^6 - 1534*c_0101_4^5 + 664*c_0101_4^4 + 507*c_0101_4^3 - 142*c_0101_4^2 - 65*c_0101_4 + 12, c_0101_1 - 4*c_0101_4^14 - 6*c_0101_4^13 + 35*c_0101_4^12 + 51*c_0101_4^11 - 111*c_0101_4^10 - 158*c_0101_4^9 + 171*c_0101_4^8 + 233*c_0101_4^7 - 136*c_0101_4^6 - 173*c_0101_4^5 + 57*c_0101_4^4 + 67*c_0101_4^3 - 12*c_0101_4^2 - 12*c_0101_4 + 1, c_0101_4^15 + 3/2*c_0101_4^14 - 35/4*c_0101_4^13 - 51/4*c_0101_4^12 + 111/4*c_0101_4^11 + 79/2*c_0101_4^10 - 171/4*c_0101_4^9 - 233/4*c_0101_4^8 + 34*c_0101_4^7 + 173/4*c_0101_4^6 - 57/4*c_0101_4^5 - 67/4*c_0101_4^4 + 3*c_0101_4^3 + 13/4*c_0101_4^2 - 1/4*c_0101_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB