Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 4105529365] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1907 geometric_solution 5.51489893 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 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 0.345644800273 0.892842656430 3 2 4 0 0132 3012 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 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964095261107 1.130736769344 1 3 0 4 1230 2310 0132 2310 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 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 0.964095261107 1.130736769344 1 5 5 2 0132 0132 3201 3201 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 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 0.709965686223 0.286179112139 2 6 6 1 3201 0132 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 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 0.036064522830 0.439046455790 3 3 5 5 2310 0132 2031 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246462351170 0.864032401291 4 4 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.268580671644 0.891704384285 ==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' : d['c_0011_1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 10723979554554248/139146984801605*c_0101_6^14 - 875202799919308/27829396960321*c_0101_6^13 - 83239733711551823/139146984801605*c_0101_6^12 - 15059265083429261/139146984801605*c_0101_6^11 - 42303701854299/53828620813*c_0101_6^10 - 160305623979875403/139146984801605*c_0101_6^9 + 105100922035946016/139146984801605*c_0101_6^8 - 44651187968204973/27829396960321*c_0101_6^7 - 114028577171049402/139146984801605*c_0101_6^6 - 30102967693720012/139146984801605*c_0101_6^5 - 116475661331032468/27829396960321*c_0101_6^4 - 213308346530603268/139146984801605*c_0101_6^3 - 154244161158950868/139146984801605*c_0101_6^2 - 476730576483306027/139146984801605*c_0101_6 - 201135529527911521/139146984801605, c_0011_0 - 1, c_0011_1 + 292092536/309715885*c_0101_6^14 + 98198473/309715885*c_0101_6^13 + 2271394443/309715885*c_0101_6^12 + 239461963/309715885*c_0101_6^11 + 611669694/61943177*c_0101_6^10 + 4066959926/309715885*c_0101_6^9 - 2929997499/309715885*c_0101_6^8 + 6296021726/309715885*c_0101_6^7 + 2619710353/309715885*c_0101_6^6 + 1101137072/309715885*c_0101_6^5 + 15548799854/309715885*c_0101_6^4 + 5147970067/309715885*c_0101_6^3 + 4199284613/309715885*c_0101_6^2 + 2485055645/61943177*c_0101_6 + 5168708728/309715885, c_0011_4 + 321514903/309715885*c_0101_6^14 + 86825318/309715885*c_0101_6^13 + 504023060/61943177*c_0101_6^12 + 93062242/309715885*c_0101_6^11 + 711512738/61943177*c_0101_6^10 + 4153318363/309715885*c_0101_6^9 - 3248849923/309715885*c_0101_6^8 + 7260019801/309715885*c_0101_6^7 + 1845338746/309715885*c_0101_6^6 + 319444149/61943177*c_0101_6^5 + 16652224069/309715885*c_0101_6^4 + 4513278474/309715885*c_0101_6^3 + 1108587335/61943177*c_0101_6^2 + 13093451383/309715885*c_0101_6 + 4783049627/309715885, c_0101_0 - 188833651/309715885*c_0101_6^14 - 18975247/309715885*c_0101_6^13 - 1480658654/309715885*c_0101_6^12 + 188874129/309715885*c_0101_6^11 - 431901243/61943177*c_0101_6^10 - 2133738176/309715885*c_0101_6^9 + 435423399/61943177*c_0101_6^8 - 4812587474/309715885*c_0101_6^7 - 71575299/61943177*c_0101_6^6 - 1116305721/309715885*c_0101_6^5 - 9744191556/309715885*c_0101_6^4 - 221746905/61943177*c_0101_6^3 - 3525327309/309715885*c_0101_6^2 - 7255009183/309715885*c_0101_6 - 2081058591/309715885, c_0101_1 - 23979493/61943177*c_0101_6^14 - 86543844/309715885*c_0101_6^13 - 917866496/309715885*c_0101_6^12 - 470720118/309715885*c_0101_6^11 - 208205608/61943177*c_0101_6^10 - 461790030/61943177*c_0101_6^9 + 1060557331/309715885*c_0101_6^8 - 2027829403/309715885*c_0101_6^7 - 2388014437/309715885*c_0101_6^6 + 86789441/309715885*c_0101_6^5 - 7014205962/309715885*c_0101_6^4 - 4023311473/309715885*c_0101_6^3 - 945067311/309715885*c_0101_6^2 - 5770132718/309715885*c_0101_6 - 2976333668/309715885, c_0101_5 - 65829/309715885*c_0101_6^14 + 68995823/309715885*c_0101_6^13 - 26912497/309715885*c_0101_6^12 + 556780268/309715885*c_0101_6^11 - 69600090/61943177*c_0101_6^10 + 983692456/309715885*c_0101_6^9 + 219670761/309715885*c_0101_6^8 - 808592774/309715885*c_0101_6^7 + 2019287868/309715885*c_0101_6^6 - 850997838/309715885*c_0101_6^5 + 1034602629/309715885*c_0101_6^4 + 2765886222/309715885*c_0101_6^3 - 781510407/309715885*c_0101_6^2 + 312436578/61943177*c_0101_6 + 1450347073/309715885, c_0101_6^15 + c_0101_6^14 + 8*c_0101_6^13 + 6*c_0101_6^12 + 11*c_0101_6^11 + 21*c_0101_6^10 - c_0101_6^9 + 15*c_0101_6^8 + 23*c_0101_6^7 + 9*c_0101_6^6 + 56*c_0101_6^5 + 52*c_0101_6^4 + 26*c_0101_6^3 + 53*c_0101_6^2 + 45*c_0101_6 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB