Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 3448524995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3397 geometric_solution 6.56073918 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668223636831 0.506655324931 0 4 2 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.049769188134 0.720476610239 5 0 5 1 0132 0132 1023 1302 0 0 0 0 0 1 -1 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 -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 0.616147950083 1.369238148556 5 4 0 6 3120 2310 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 1 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 0.710393399197 0.734105676122 5 1 6 3 1023 0132 2103 3201 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 -1 1 -1 0 1 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 0.465019985728 1.178750104752 2 4 2 3 0132 1023 1023 3120 0 0 0 0 0 -1 1 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 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 -0.188408568293 0.847158450754 4 6 3 6 2103 1302 0132 2031 0 0 0 0 0 1 -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 0 0 0 0 -1 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604334743888 1.118938897332 ==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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], '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_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0101_2'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_5']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 69401403/53391688*c_0101_5^18 - 494456673/26695844*c_0101_5^17 - 2826134333/26695844*c_0101_5^16 - 7669977109/26695844*c_0101_5^15 - 6650671487/26695844*c_0101_5^14 + 15233425833/26695844*c_0101_5^13 + 41709736863/26695844*c_0101_5^12 + 33246800143/53391688*c_0101_5^11 - 105413570267/53391688*c_0101_5^10 - 120084039515/53391688*c_0101_5^9 + 14046585457/26695844*c_0101_5^8 + 101861004487/53391688*c_0101_5^7 + 558399330/953423*c_0101_5^6 - 13300689163/26695844*c_0101_5^5 - 19758349923/53391688*c_0101_5^4 - 94033189/1906846*c_0101_5^3 + 285392722/6673961*c_0101_5^2 + 715827687/26695844*c_0101_5 + 468456517/53391688, c_0011_0 - 1, c_0011_3 + 15373/1906846*c_0101_5^18 - 202547/1906846*c_0101_5^17 - 2270129/953423*c_0101_5^16 - 28298121/1906846*c_0101_5^15 - 78173199/1906846*c_0101_5^14 - 33638584/953423*c_0101_5^13 + 147366123/1906846*c_0101_5^12 + 191008639/953423*c_0101_5^11 + 59013345/953423*c_0101_5^10 - 479633885/1906846*c_0101_5^9 - 458116359/1906846*c_0101_5^8 + 169560733/1906846*c_0101_5^7 + 188207601/953423*c_0101_5^6 + 70213983/1906846*c_0101_5^5 - 48418968/953423*c_0101_5^4 - 50410023/1906846*c_0101_5^3 - 5532155/1906846*c_0101_5^2 + 2699855/953423*c_0101_5 + 1879190/953423, c_0011_6 + 461075/1906846*c_0101_5^18 + 6527679/1906846*c_0101_5^17 + 18703382/953423*c_0101_5^16 + 104308151/1906846*c_0101_5^15 + 107845811/1906846*c_0101_5^14 - 74456328/953423*c_0101_5^13 - 520971525/1906846*c_0101_5^12 - 170073649/953423*c_0101_5^11 + 246145140/953423*c_0101_5^10 + 844135639/1906846*c_0101_5^9 + 115226383/1906846*c_0101_5^8 - 593903333/1906846*c_0101_5^7 - 197255905/953423*c_0101_5^6 + 93854175/1906846*c_0101_5^5 + 89544765/953423*c_0101_5^4 + 41338485/1906846*c_0101_5^3 - 17449635/1906846*c_0101_5^2 - 5241386/953423*c_0101_5 - 1111599/953423, c_0101_0 + 445605/1906846*c_0101_5^18 + 2665895/953423*c_0101_5^17 + 22897721/1906846*c_0101_5^16 + 29707725/1906846*c_0101_5^15 - 35369983/953423*c_0101_5^14 - 250105035/1906846*c_0101_5^13 - 88474179/1906846*c_0101_5^12 + 527008779/1906846*c_0101_5^11 + 282882682/953423*c_0101_5^10 - 421286099/1906846*c_0101_5^9 - 419522305/953423*c_0101_5^8 + 7875941/953423*c_0101_5^7 + 554979991/1906846*c_0101_5^6 + 163041049/1906846*c_0101_5^5 - 151286839/1906846*c_0101_5^4 - 79492871/1906846*c_0101_5^3 + 2144203/953423*c_0101_5^2 + 8705179/1906846*c_0101_5 + 2002809/953423, c_0101_1 - 1, c_0101_2 - 344015/1906846*c_0101_5^18 - 2344324/953423*c_0101_5^17 - 25231615/1906846*c_0101_5^16 - 61926097/1906846*c_0101_5^15 - 17493990/953423*c_0101_5^14 + 157469111/1906846*c_0101_5^13 + 315261093/1906846*c_0101_5^12 + 18383821/1906846*c_0101_5^11 - 239970154/953423*c_0101_5^10 - 357555409/1906846*c_0101_5^9 + 113255539/953423*c_0101_5^8 + 181536903/953423*c_0101_5^7 + 64210667/1906846*c_0101_5^6 - 109390705/1906846*c_0101_5^5 - 80625127/1906846*c_0101_5^4 - 11149909/1906846*c_0101_5^3 + 7565007/953423*c_0101_5^2 + 6343613/1906846*c_0101_5 + 312693/953423, c_0101_5^19 + 14*c_0101_5^18 + 78*c_0101_5^17 + 202*c_0101_5^16 + 142*c_0101_5^15 - 478*c_0101_5^14 - 1094*c_0101_5^13 - 185*c_0101_5^12 + 1689*c_0101_5^11 + 1429*c_0101_5^10 - 934*c_0101_5^9 - 1589*c_0101_5^8 - 52*c_0101_5^7 + 726*c_0101_5^6 + 237*c_0101_5^5 - 116*c_0101_5^4 - 76*c_0101_5^3 - 10*c_0101_5^2 + 5*c_0101_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB