Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 1966401605] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2676 geometric_solution 5.93933657 oriented_manifold CS_known 0.0000000000000004 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 0 0 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 1.144583816600 1.049132702037 0 4 4 5 0132 0321 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0.303469768683 0.410125751191 6 0 5 6 0132 0132 1230 1023 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 0.681797178126 0.370028296423 5 5 4 0 0132 2103 3201 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 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606939537365 0.820251502382 3 1 0 1 2310 1230 0132 0321 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 -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 0.066078275253 0.627720282348 3 3 1 2 0132 2103 0132 3012 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 1 -1 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323535494689 1.293660290556 2 6 6 2 0132 3201 2310 1023 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109485919289 0.504442807803 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_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' : d['c_0011_0'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2']})} 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_2, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 13286659751875/5123545870696*c_0101_0*c_1001_2^9 + 191358455287485/10247091741392*c_0101_0*c_1001_2^8 - 706889851908627/10247091741392*c_0101_0*c_1001_2^7 + 3528105864177865/20494183482784*c_0101_0*c_1001_2^6 - 150274003850261/465776897336*c_0101_0*c_1001_2^5 + 510428403029463/1078641235936*c_0101_0*c_1001_2^4 - 5591364351090979/10247091741392*c_0101_0*c_1001_2^3 + 10535083490467829/20494183482784*c_0101_0*c_1001_2^2 - 7400629068400179/20494183482784*c_0101_0*c_1001_2 + 1976918731170587/20494183482784*c_0101_0, c_0011_0 - 1, c_0011_3 + 1487169680/3064321693*c_0101_0*c_1001_2^9 - 10543884012/3064321693*c_0101_0*c_1001_2^8 + 38392556034/3064321693*c_0101_0*c_1001_2^7 - 94578956480/3064321693*c_0101_0*c_1001_2^6 + 174902607311/3064321693*c_0101_0*c_1001_2^5 - 253256150061/3064321693*c_0101_0*c_1001_2^4 + 287808388308/3064321693*c_0101_0*c_1001_2^3 - 268150391933/3064321693*c_0101_0*c_1001_2^2 + 183896012375/3064321693*c_0101_0*c_1001_2 - 41583626520/3064321693*c_0101_0, c_0011_4 + 3068078180/3064321693*c_0101_0*c_1001_2^9 - 22656642566/3064321693*c_0101_0*c_1001_2^8 + 85463283534/3064321693*c_0101_0*c_1001_2^7 - 217158437283/3064321693*c_0101_0*c_1001_2^6 + 413787039046/3064321693*c_0101_0*c_1001_2^5 - 617149415557/3064321693*c_0101_0*c_1001_2^4 + 725522738726/3064321693*c_0101_0*c_1001_2^3 - 694452120655/3064321693*c_0101_0*c_1001_2^2 + 505445387923/3064321693*c_0101_0*c_1001_2 - 160055757239/3064321693*c_0101_0, c_0101_0^2 + 176971892/3064321693*c_1001_2^9 - 1165444190/3064321693*c_1001_2^8 + 4010597454/3064321693*c_1001_2^7 - 9360039143/3064321693*c_1001_2^6 + 16459827156/3064321693*c_1001_2^5 - 22433101311/3064321693*c_1001_2^4 + 23666765102/3064321693*c_1001_2^3 - 19803038071/3064321693*c_1001_2^2 + 11641203124/3064321693*c_1001_2 - 3189985526/3064321693, c_0101_2 - 609888588/3064321693*c_1001_2^9 + 4601668434/3064321693*c_1001_2^8 - 17604417586/3064321693*c_1001_2^7 + 45426615949/3064321693*c_1001_2^6 - 87517329168/3064321693*c_1001_2^5 + 131507949411/3064321693*c_1001_2^4 - 155280119219/3064321693*c_1001_2^3 + 148770146412/3064321693*c_1001_2^2 - 108389954265/3064321693*c_1001_2 + 36120989260/3064321693, c_0101_6 - 63457404/3064321693*c_1001_2^9 + 185444150/3064321693*c_1001_2^8 + 46421836/3064321693*c_1001_2^7 - 1596132753/3064321693*c_1001_2^6 + 5282972989/3064321693*c_1001_2^5 - 10915799475/3064321693*c_1001_2^4 + 16167591663/3064321693*c_1001_2^3 - 16985026741/3064321693*c_1001_2^2 + 17033606619/3064321693*c_1001_2 - 12100540743/3064321693, c_1001_2^10 - 17/2*c_1001_2^9 + 36*c_1001_2^8 - 405/4*c_1001_2^7 + 847/4*c_1001_2^6 - 1387/4*c_1001_2^5 + 1809/4*c_1001_2^4 - 1913/4*c_1001_2^3 + 404*c_1001_2^2 - 449/2*c_1001_2 + 209/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB