Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 2901225568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0369 geometric_solution 4.42469600 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.528342246348 0.042809016996 0 0 2 2 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.512570336238 0.572974796695 3 1 1 3 0132 3201 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 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 -0.548063592590 0.432352353041 2 2 5 4 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 1 -1 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 0.222760819760 0.531831147860 5 6 3 5 1230 0132 0132 1302 0 0 0 0 0 0 0 0 -1 0 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 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 0.848960863229 0.803280524266 6 4 4 3 2310 3012 2031 0132 0 0 0 0 0 1 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848960863229 0.803280524266 6 4 5 6 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 -1 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 0.747545292015 1.098133076660 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 8471596269072997/958664542396219*c_0101_5^15 - 127322974181691829/958664542396219*c_0101_5^14 + 731277404660008479/958664542396219*c_0101_5^13 - 1869643052640932001/958664542396219*c_0101_5^12 + 1208129994420397440/958664542396219*c_0101_5^11 + 3909504552620954508/958664542396219*c_0101_5^10 - 7131723630764736597/958664542396219*c_0101_5^9 - 1595403519679975939/958664542396219*c_0101_5^8 + 10396853557512827597/958664542396219*c_0101_5^7 + 51979430709948060/958664542396219*c_0101_5^6 - 7184541653314273924/958664542396219*c_0101_5^5 - 5135286258486784/5881377560713*c_0101_5^4 + 12313415145812680/5881377560713*c_0101_5^3 + 533693227171175193/958664542396219*c_0101_5^2 - 150589375271913039/958664542396219*c_0101_5 - 74324768335936347/958664542396219, c_0011_0 - 1, c_0011_2 - 686548066078/1684823448851*c_0101_5^15 + 10573343534660/1684823448851*c_0101_5^14 - 63309106076270/1684823448851*c_0101_5^13 + 176879985982020/1684823448851*c_0101_5^12 - 174818274214139/1684823448851*c_0101_5^11 - 219970014356541/1684823448851*c_0101_5^10 + 626553385572967/1684823448851*c_0101_5^9 - 140430790220154/1684823448851*c_0101_5^8 - 677176149469499/1684823448851*c_0101_5^7 + 221064292254368/1684823448851*c_0101_5^6 + 369338090119564/1684823448851*c_0101_5^5 - 121400956328/10336340177*c_0101_5^4 - 472358743512/10336340177*c_0101_5^3 - 25019421164755/1684823448851*c_0101_5^2 + 1562941324543/1684823448851*c_0101_5 + 2307848233329/1684823448851, c_0011_4 + 452967790441040/958664542396219*c_0101_5^15 - 6976803891815606/958664542396219*c_0101_5^14 + 41767596548750793/958664542396219*c_0101_5^13 - 116528873280268653/958664542396219*c_0101_5^12 + 113846841131138413/958664542396219*c_0101_5^11 + 150796419588019272/958664542396219*c_0101_5^10 - 422880813148635208/958664542396219*c_0101_5^9 + 92923920788902358/958664542396219*c_0101_5^8 + 468588546668820696/958664542396219*c_0101_5^7 - 166086209532908572/958664542396219*c_0101_5^6 - 261289495086673987/958664542396219*c_0101_5^5 + 233725099235446/5881377560713*c_0101_5^4 + 388530666223082/5881377560713*c_0101_5^3 + 7090642323913089/958664542396219*c_0101_5^2 - 5670211180966810/958664542396219*c_0101_5 - 1518103746954847/958664542396219, c_0101_0 + 209544136381379/958664542396219*c_0101_5^15 - 3304001987338873/958664542396219*c_0101_5^14 + 20474884710452495/958664542396219*c_0101_5^13 - 60588283722180757/958664542396219*c_0101_5^12 + 70272893946780110/958664542396219*c_0101_5^11 + 55547878410494724/958664542396219*c_0101_5^10 - 223608357163589605/958664542396219*c_0101_5^9 + 103140726727263514/958664542396219*c_0101_5^8 + 218473477934478475/958664542396219*c_0101_5^7 - 150001937460734698/958664542396219*c_0101_5^6 - 114441411789108803/958664542396219*c_0101_5^5 + 333952706126317/5881377560713*c_0101_5^4 + 203411262890654/5881377560713*c_0101_5^3 + 1224422868698336/958664542396219*c_0101_5^2 - 4169729846118595/958664542396219*c_0101_5 - 1275619023969046/958664542396219, c_0101_1 + 256843959051568/958664542396219*c_0101_5^15 - 3909693768007036/958664542396219*c_0101_5^14 + 22976002429408895/958664542396219*c_0101_5^13 - 61887945649054814/958664542396219*c_0101_5^12 + 53032261090079070/958664542396219*c_0101_5^11 + 96642891389953239/958664542396219*c_0101_5^10 - 225994419711904387/958664542396219*c_0101_5^9 + 15154387073278584/958664542396219*c_0101_5^8 + 272419373846630996/958664542396219*c_0101_5^7 - 57265470921354417/958664542396219*c_0101_5^6 - 151128144765051358/958664542396219*c_0101_5^5 + 4888253278103/5881377560713*c_0101_5^4 + 171778294517631/5881377560713*c_0101_5^3 + 9882258379020659/958664542396219*c_0101_5^2 - 489962490544598/958664542396219*c_0101_5 - 1368785678857146/958664542396219, c_0101_3 - 113540118947999/958664542396219*c_0101_5^15 + 1848397200985738/958664542396219*c_0101_5^14 - 11987455999320977/958664542396219*c_0101_5^13 + 38170243971843340/958664542396219*c_0101_5^12 - 53053997908487560/958664542396219*c_0101_5^11 - 14668490942646511/958664542396219*c_0101_5^10 + 137005799772927299/958664542396219*c_0101_5^9 - 104621382739413693/958664542396219*c_0101_5^8 - 105904615958506990/958664542396219*c_0101_5^7 + 129795465354008495/958664542396219*c_0101_5^6 + 48760090307091208/958664542396219*c_0101_5^5 - 335197326338939/5881377560713*c_0101_5^4 - 115394997909094/5881377560713*c_0101_5^3 + 4907193936966486/958664542396219*c_0101_5^2 + 3870957286274604/958664542396219*c_0101_5 + 116377481493279/958664542396219, c_0101_5^16 - 15*c_0101_5^15 + 86*c_0101_5^14 - 220*c_0101_5^13 + 147*c_0101_5^12 + 436*c_0101_5^11 - 801*c_0101_5^10 - 173*c_0101_5^9 + 1122*c_0101_5^8 + 47*c_0101_5^7 - 723*c_0101_5^6 - 148*c_0101_5^5 + 163*c_0101_5^4 + 71*c_0101_5^3 - 2*c_0101_5^2 - 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB