Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 2134827923] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1950 geometric_solution 5.53537981 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 0.302543334188 0.215138540075 2 0 3 0 0132 2310 0132 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 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 0.502203530105 1.345905784299 1 4 5 4 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.592389742532 1.540381461805 4 5 4 1 2310 1023 3201 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -2 1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592389742532 1.540381461805 3 2 3 2 2310 0132 3201 1023 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 -1 0 2 -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 0.323280765617 0.353773848743 3 6 6 2 1023 0132 1023 0132 0 0 0 0 0 0 0 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 0 -1 0 1 -1 0 1 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 0.361322180646 0.448009710713 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.795212307344 0.850348452664 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 3427698258604989675455/68969131010113829376*c_0101_6^25 - 1544445917454026984901/1642122166907472128*c_0101_6^23 - 635265005687789731103/102632635431717008*c_0101_6^21 - 52625582950630053808723/11494855168352304896*c_0101_6^19 + 1424808775752151933080165/11494855168352304896*c_0101_6^17 + 25033815934298814226444193/68969131010113829376*c_0101_6^15 - 81944717815777081341706565/34484565505056914688*c_0101_6^13 + 142800259569195902094177559/34484565505056914688*c_0101_6^11 - 8610602273593099279713317/2463183250361208192*c_0101_6^9 + 111401941798180022265126127/68969131010113829376*c_0101_6^7 - 6932162645339610459971609/17242282752528457344*c_0101_6^5 + 1635277964802791243004347/34484565505056914688*c_0101_6^3 - 132687637387698851985493/68969131010113829376*c_0101_6, c_0011_0 - 1, c_0011_1 - 168421063755589527/821061083453736064*c_0101_6^24 - 6480303930941820437/1642122166907472128*c_0101_6^22 - 43992169969870375661/1642122166907472128*c_0101_6^20 - 44947915907963130095/1642122166907472128*c_0101_6^18 + 825264166299211527081/1642122166907472128*c_0101_6^16 + 2718198949349222400639/1642122166907472128*c_0101_6^14 - 7620086464697511989729/821061083453736064*c_0101_6^12 + 5831522732879833154727/410530541726868032*c_0101_6^10 - 8281650517773954554719/821061083453736064*c_0101_6^8 + 748045573773776895595/205265270863434016*c_0101_6^6 - 970535308492251692665/1642122166907472128*c_0101_6^4 + 39938840314345265705/1642122166907472128*c_0101_6^2 - 322061584169611261/1642122166907472128, c_0011_3 + 162954811187998019/6568488667629888512*c_0101_6^24 + 1574731878627440147/3284244333814944256*c_0101_6^22 + 5388339482774196493/1642122166907472128*c_0101_6^20 + 11736842988024183647/3284244333814944256*c_0101_6^18 - 199348700491016511101/3284244333814944256*c_0101_6^16 - 1354828995884221027625/6568488667629888512*c_0101_6^14 + 3633038396024576534433/3284244333814944256*c_0101_6^12 - 5264608275520810362287/3284244333814944256*c_0101_6^10 + 1729347899643132801963/1642122166907472128*c_0101_6^8 - 2301895176847646203843/6568488667629888512*c_0101_6^6 + 37296630813096570131/821061083453736064*c_0101_6^4 + 2020182077026764379/3284244333814944256*c_0101_6^2 - 1317166693276022707/6568488667629888512, c_0101_0 - 230150181423379453/821061083453736064*c_0101_6^25 - 2197433589763255431/410530541726868032*c_0101_6^23 - 3676247145831433077/102632635431717008*c_0101_6^21 - 13052988919916179507/410530541726868032*c_0101_6^19 + 285237928389077829509/410530541726868032*c_0101_6^17 + 1779853053903906129659/821061083453736064*c_0101_6^15 - 5357861374491687931919/410530541726868032*c_0101_6^13 + 8639721444626684353553/410530541726868032*c_0101_6^11 - 3233448904162883440193/205265270863434016*c_0101_6^9 + 4871757053283046662693/821061083453736064*c_0101_6^7 - 199544301129306811213/205265270863434016*c_0101_6^5 + 10989845383925497785/410530541726868032*c_0101_6^3 + 1026588919618454321/821061083453736064*c_0101_6, c_0101_1 - 882512049945255613/6568488667629888512*c_0101_6^24 - 8485842009069369985/3284244333814944256*c_0101_6^22 - 28784063146426475333/1642122166907472128*c_0101_6^20 - 58488421661962139325/3284244333814944256*c_0101_6^18 + 1081258680102441054887/3284244333814944256*c_0101_6^16 + 7104059764760158098783/6568488667629888512*c_0101_6^14 - 19989005265726210339863/3284244333814944256*c_0101_6^12 + 30720041289080801731889/3284244333814944256*c_0101_6^10 - 10963146657007380145345/1642122166907472128*c_0101_6^8 + 15954792589135877906445/6568488667629888512*c_0101_6^6 - 169387440159222148981/410530541726868032*c_0101_6^4 + 88145836416664990047/3284244333814944256*c_0101_6^2 - 7128289820892467947/6568488667629888512, c_0101_3 + 219011313923608613/3284244333814944256*c_0101_6^25 + 2085339001629274167/1642122166907472128*c_0101_6^23 + 869235717711944203/102632635431717008*c_0101_6^21 + 12169873833001972655/1642122166907472128*c_0101_6^19 - 268569888349362041253/1642122166907472128*c_0101_6^17 - 1653509543703492531651/3284244333814944256*c_0101_6^15 + 5088332313250268349939/1642122166907472128*c_0101_6^13 - 8724279056419004729865/1642122166907472128*c_0101_6^11 + 3750049724084168721635/821061083453736064*c_0101_6^9 - 7270554491038594559981/3284244333814944256*c_0101_6^7 + 475435184433953215771/821061083453736064*c_0101_6^5 - 114287610952560485245/1642122166907472128*c_0101_6^3 + 4015732531426178295/3284244333814944256*c_0101_6, c_0101_6^26 + 19*c_0101_6^24 + 126*c_0101_6^22 + 102*c_0101_6^20 - 2484*c_0101_6^18 - 7489*c_0101_6^16 + 47203*c_0101_6^14 - 79892*c_0101_6^12 + 65082*c_0101_6^10 - 28765*c_0101_6^8 + 6743*c_0101_6^6 - 742*c_0101_6^4 + 33*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB