Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 2631729304] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s472 geometric_solution 4.84354266 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180002200483 0.713197455801 0 1 0 1 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.919835425161 0.716524641642 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 -1 0 1 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 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 1.295153930659 0.989000565403 2 4 0 5 1230 2310 0132 2310 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 1.295153930659 0.989000565403 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 0 0 1 -1 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818235036028 0.692033798118 3 5 5 2 3201 1230 3012 0132 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252045375944 0.507300474275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 31467432895/17165857616*c_0101_2^12 + 74356492253/17165857616*c_0101_2^11 + 18696364810/1072866101*c_0101_2^10 + 537217012821/17165857616*c_0101_2^9 + 641683372369/8582928808*c_0101_2^8 + 133437572821/2145732202*c_0101_2^7 + 1591862537531/17165857616*c_0101_2^6 + 835128803101/8582928808*c_0101_2^5 - 267445470407/17165857616*c_0101_2^4 + 600626585127/4291464404*c_0101_2^3 - 2282099806417/17165857616*c_0101_2^2 + 1684310791237/17165857616*c_0101_2 - 231140142149/4291464404, c_0011_0 - 1, c_0011_2 + 4643978411/4291464404*c_0101_2^12 - 11174373569/4291464404*c_0101_2^11 - 21946369427/2145732202*c_0101_2^10 - 76932815813/4291464404*c_0101_2^9 - 91913493787/2145732202*c_0101_2^8 - 36076871047/1072866101*c_0101_2^7 - 216476943497/4291464404*c_0101_2^6 - 113840658355/2145732202*c_0101_2^5 + 58145354871/4291464404*c_0101_2^4 - 88267011980/1072866101*c_0101_2^3 + 340437294883/4291464404*c_0101_2^2 - 252235301883/4291464404*c_0101_2 + 30778903014/1072866101, c_0011_5 - 754156195/4291464404*c_0101_2^12 + 1675367731/4291464404*c_0101_2^11 + 1872435804/1072866101*c_0101_2^10 + 13817724249/4291464404*c_0101_2^9 + 15851356103/2145732202*c_0101_2^8 + 13895700213/2145732202*c_0101_2^7 + 37723809919/4291464404*c_0101_2^6 + 20861863175/2145732202*c_0101_2^5 - 1880678751/4291464404*c_0101_2^4 + 27762631831/2145732202*c_0101_2^3 - 43648446727/4291464404*c_0101_2^2 + 32263044901/4291464404*c_0101_2 - 3451347756/1072866101, c_0101_0 - 1350583741/4291464404*c_0101_2^12 + 3249823773/4291464404*c_0101_2^11 + 3168653635/1072866101*c_0101_2^10 + 22447110221/4291464404*c_0101_2^9 + 13633072054/1072866101*c_0101_2^8 + 11305787269/1072866101*c_0101_2^7 + 70140211635/4291464404*c_0101_2^6 + 37746008351/2145732202*c_0101_2^5 - 6915058801/4291464404*c_0101_2^4 + 56128653765/2145732202*c_0101_2^3 - 95205448993/4291464404*c_0101_2^2 + 79616169173/4291464404*c_0101_2 - 9439207616/1072866101, c_0101_1 - 1226376379/2145732202*c_0101_2^12 + 2957856147/2145732202*c_0101_2^11 + 11614568165/2145732202*c_0101_2^10 + 20181254999/2145732202*c_0101_2^9 + 23999795867/1072866101*c_0101_2^8 + 18423801071/1072866101*c_0101_2^7 + 27347571303/1072866101*c_0101_2^6 + 29002620421/1072866101*c_0101_2^5 - 16902903673/2145732202*c_0101_2^4 + 46182388201/1072866101*c_0101_2^3 - 44137023133/1072866101*c_0101_2^2 + 33090885121/1072866101*c_0101_2 - 15154644127/1072866101, c_0101_2^13 - 3*c_0101_2^12 - 8*c_0101_2^11 - 11*c_0101_2^10 - 30*c_0101_2^9 - 8*c_0101_2^8 - 29*c_0101_2^7 - 22*c_0101_2^6 + 41*c_0101_2^5 - 84*c_0101_2^4 + 119*c_0101_2^3 - 99*c_0101_2^2 + 60*c_0101_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB