Magma V2.19-8 Tue Aug 20 2013 16:14:47 on localhost [Seed = 3751691192] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s767 geometric_solution 5.31466340 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522137049181 0.248094972710 2 0 3 0 0132 2310 0132 0132 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 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915412055117 0.494308219972 1 4 3 5 0132 0132 3012 0132 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 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 0.863350625905 0.884792915958 5 2 4 1 3201 1230 1023 0132 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 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 0 0 0 0.863350625905 0.884792915958 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434129974339 0.890828118603 5 5 2 3 1230 3012 0132 2310 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 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 0.942530730206 1.021047792018 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_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_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_5']), '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_5'], 'c_0011_4' : d['c_0011_1'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0011_5'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_5']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 22240566160596515274/188759947789366097*c_0101_1^19 - 2291318175818040059/6508963716874693*c_0101_1^18 + 406934544591747901837/188759947789366097*c_0101_1^17 + 1831195641368532299754/188759947789366097*c_0101_1^16 - 1071827685241484744660/188759947789366097*c_0101_1^15 - 15977924468431023694664/188759947789366097*c_0101_1^14 - 18557903326252359878092/188759947789366097*c_0101_1^13 + 42558836062185364489539/188759947789366097*c_0101_1^12 + 116897122298081294884950/188759947789366097*c_0101_1^11 + 39357688298859027232025/188759947789366097*c_0101_1^10 - 156735978251002466023258/188759947789366097*c_0101_1^9 - 176923863810582146305434/188759947789366097*c_0101_1^8 + 24209571517102641728804/188759947789366097*c_0101_1^7 + 135077378382780550461116/188759947789366097*c_0101_1^6 + 52474120739523605635106/188759947789366097*c_0101_1^5 - 25436673691575314418135/188759947789366097*c_0101_1^4 - 64482971987275013829/606945169740727*c_0101_1^3 - 2204588283753170087688/188759947789366097*c_0101_1^2 + 690996723457298688663/188759947789366097*c_0101_1 + 119050092485255752262/188759947789366097, c_0011_0 - 1, c_0011_1 - 356685485566726/31944482617933*c_0101_1^19 - 40796723589996/1101533883377*c_0101_1^18 + 6159111045376009/31944482617933*c_0101_1^17 + 31463614814101634/31944482617933*c_0101_1^16 - 7237046180953736/31944482617933*c_0101_1^15 - 260488397735397410/31944482617933*c_0101_1^14 - 382386292296046529/31944482617933*c_0101_1^13 + 572729148853780222/31944482617933*c_0101_1^12 + 2082596864602299392/31944482617933*c_0101_1^11 + 1275098367576648898/31944482617933*c_0101_1^10 - 2212437779483188713/31944482617933*c_0101_1^9 - 3610559297268591828/31944482617933*c_0101_1^8 - 647774754417482751/31944482617933*c_0101_1^7 + 2134233706694882576/31944482617933*c_0101_1^6 + 1530273469609143768/31944482617933*c_0101_1^5 - 34038235735715013/31944482617933*c_0101_1^4 - 389653585106987670/31944482617933*c_0101_1^3 - 144448857872777279/31944482617933*c_0101_1^2 - 17945963035574026/31944482617933*c_0101_1 - 500105529291375/31944482617933, c_0011_3 + 2257077517605382431/188759947789366097*c_0101_1^19 + 253507358844564409/6508963716874693*c_0101_1^18 - 39304653748707101199/188759947789366097*c_0101_1^17 - 196470502553500392345/188759947789366097*c_0101_1^16 + 55439717459663206811/188759947789366097*c_0101_1^15 + 1636987723050409759111/188759947789366097*c_0101_1^14 + 2330214992409740263173/188759947789366097*c_0101_1^13 - 3689920367948258612505/188759947789366097*c_0101_1^12 - 12896855759511958712510/188759947789366097*c_0101_1^11 - 7520548025451295287456/188759947789366097*c_0101_1^10 + 13981174628072541678462/188759947789366097*c_0101_1^9 + 21980778286693100129759/188759947789366097*c_0101_1^8 + 3488514099360169557935/188759947789366097*c_0101_1^7 - 13149735362681043675298/188759947789366097*c_0101_1^6 - 9137399612273197906609/188759947789366097*c_0101_1^5 + 292363702520223950048/188759947789366097*c_0101_1^4 + 7542430337211091459/606945169740727*c_0101_1^3 + 865928077760919255713/188759947789366097*c_0101_1^2 + 109343721168936847910/188759947789366097*c_0101_1 + 3255014193145088195/188759947789366097, c_0011_5 - 131678782630298338/188759947789366097*c_0101_1^19 - 11705253144453223/6508963716874693*c_0101_1^18 + 2545171508301682939/188759947789366097*c_0101_1^17 + 9797660357429187912/188759947789366097*c_0101_1^16 - 10281373702907197232/188759947789366097*c_0101_1^15 - 90287583485347217263/188759947789366097*c_0101_1^14 - 73628004722553411912/188759947789366097*c_0101_1^13 + 280601645299476053394/188759947789366097*c_0101_1^12 + 580035026290393277264/188759947789366097*c_0101_1^11 + 5096313401484039339/188759947789366097*c_0101_1^10 - 931518080392447865904/188759947789366097*c_0101_1^9 - 692968345099192120610/188759947789366097*c_0101_1^8 + 410129375070873898475/188759947789366097*c_0101_1^7 + 661472606086721330671/188759947789366097*c_0101_1^6 + 74856205377893890064/188759947789366097*c_0101_1^5 - 190018695080823643003/188759947789366097*c_0101_1^4 - 209483202906259934/606945169740727*c_0101_1^3 + 9818486176696184176/188759947789366097*c_0101_1^2 + 5315465934566786614/188759947789366097*c_0101_1 + 267737473110699348/188759947789366097, c_0101_0 + 3229506307947741004/188759947789366097*c_0101_1^19 + 368822634815657588/6508963716874693*c_0101_1^18 - 55827275901478083095/188759947789366097*c_0101_1^17 - 284605499943280612004/188759947789366097*c_0101_1^16 + 67121882125587268203/188759947789366097*c_0101_1^15 + 2358503157451025698081/188759947789366097*c_0101_1^14 + 3449129565382397145159/188759947789366097*c_0101_1^13 - 5206690326284429845113/188759947789366097*c_0101_1^12 - 18827945841925448132203/188759947789366097*c_0101_1^11 - 11433541157284064424298/188759947789366097*c_0101_1^10 + 20099138047630948508775/188759947789366097*c_0101_1^9 + 32562358746609481102174/188759947789366097*c_0101_1^8 + 5667945633526450667212/188759947789366097*c_0101_1^7 - 19338905378945687327882/188759947789366097*c_0101_1^6 - 13723244755125959207706/188759947789366097*c_0101_1^5 + 381280909720042896014/188759947789366097*c_0101_1^4 + 11289636477771423474/606945169740727*c_0101_1^3 + 1285517713915427450598/188759947789366097*c_0101_1^2 + 158471618348273726945/188759947789366097*c_0101_1 + 4692611828538251809/188759947789366097, c_0101_1^20 + 4*c_0101_1^19 - 15*c_0101_1^18 - 100*c_0101_1^17 - 40*c_0101_1^16 + 744*c_0101_1^15 + 1571*c_0101_1^14 - 872*c_0101_1^13 - 6934*c_0101_1^12 - 7567*c_0101_1^11 + 3751*c_0101_1^10 + 14357*c_0101_1^9 + 8744*c_0101_1^8 - 4730*c_0101_1^7 - 8381*c_0101_1^6 - 2845*c_0101_1^5 + 1155*c_0101_1^4 + 1153*c_0101_1^3 + 328*c_0101_1^2 + 36*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB