Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3414841319] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s223 geometric_solution 4.37692334 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 1230 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 1 0 -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 0.380398586013 0.657520638699 0 1 3 1 0132 1302 0321 2031 0 0 0 0 0 0 0 0 1 0 -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 -1 0 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 0.380398586013 0.657520638699 3 0 4 4 1230 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770498275524 2.601629995793 0 2 1 0 3012 3012 0321 0132 0 0 0 0 0 0 0 0 -1 0 1 0 -1 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 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 0.759092844546 0.805548858847 5 2 2 5 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.145250810963 0.192076500687 4 4 5 5 0132 2310 2031 1302 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.371708534101 3.396254411514 ==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_0101_5'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 129003522077988948/41917412494961959*c_0101_5^17 - 63265616331203798/41917412494961959*c_0101_5^16 + 532565870191352696/41917412494961959*c_0101_5^15 + 577674858928624881/41917412494961959*c_0101_5^14 - 7825288619717299863/41917412494961959*c_0101_5^13 - 164381961580757305/41917412494961959*c_0101_5^12 + 3824807639392503370/41917412494961959*c_0101_5^11 + 8669036707449008816/41917412494961959*c_0101_5^10 + 8445653687422099536/41917412494961959*c_0101_5^9 + 2405978485957908577/41917412494961959*c_0101_5^8 + 9306643123373799338/41917412494961959*c_0101_5^7 + 3246255348096070614/41917412494961959*c_0101_5^6 + 1909021156788904570/41917412494961959*c_0101_5^5 + 696193119500939103/41917412494961959*c_0101_5^4 - 300341088634296895/41917412494961959*c_0101_5^3 + 250094803202785915/41917412494961959*c_0101_5^2 + 655593838131748597/41917412494961959*c_0101_5 + 431638509613635298/41917412494961959, c_0011_0 - 1, c_0011_3 - 24470825712649192/41917412494961959*c_0101_5^17 + 54058905107377851/83834824989923918*c_0101_5^16 - 106028227050863289/41917412494961959*c_0101_5^15 - 118177702220485727/83834824989923918*c_0101_5^14 + 1577523360906171832/41917412494961959*c_0101_5^13 - 924403740725007584/41917412494961959*c_0101_5^12 - 884368620230370350/41917412494961959*c_0101_5^11 - 549246159150879606/41917412494961959*c_0101_5^10 - 2390094172771673537/83834824989923918*c_0101_5^9 + 753504300552632145/41917412494961959*c_0101_5^8 - 1812509913163072199/41917412494961959*c_0101_5^7 + 769986837638183175/83834824989923918*c_0101_5^6 + 717827001517216763/83834824989923918*c_0101_5^5 - 704560408675985040/41917412494961959*c_0101_5^4 + 708421128476050399/41917412494961959*c_0101_5^3 - 677402837079401991/83834824989923918*c_0101_5^2 - 20655842217740402/41917412494961959*c_0101_5 + 130195017356484797/83834824989923918, c_0011_4 - 3635282903589761/83834824989923918*c_0101_5^17 + 1859138709950914/41917412494961959*c_0101_5^16 - 16916311874406769/83834824989923918*c_0101_5^15 - 4229532247913169/41917412494961959*c_0101_5^14 + 113046194523684913/41917412494961959*c_0101_5^13 - 60039740317358349/41917412494961959*c_0101_5^12 - 25330176601770213/41917412494961959*c_0101_5^11 - 146990022049853841/83834824989923918*c_0101_5^10 - 80348733969911069/41917412494961959*c_0101_5^9 - 8514388252673539/41917412494961959*c_0101_5^8 - 434581536625411551/83834824989923918*c_0101_5^7 + 108815282303737771/83834824989923918*c_0101_5^6 - 14861747822204888/41917412494961959*c_0101_5^5 + 6346483316763332/41917412494961959*c_0101_5^4 + 45560960971933205/83834824989923918*c_0101_5^3 - 18014599260918725/41917412494961959*c_0101_5^2 + 168868949467941183/83834824989923918*c_0101_5 - 6455993198886233/41917412494961959, c_0101_0 + 68554992145065757/83834824989923918*c_0101_5^17 - 90346928982710249/83834824989923918*c_0101_5^16 + 305990812656987171/83834824989923918*c_0101_5^15 + 109404678991894885/83834824989923918*c_0101_5^14 - 2238327123358348939/41917412494961959*c_0101_5^13 + 1749993396178075291/41917412494961959*c_0101_5^12 + 1213612884196491099/41917412494961959*c_0101_5^11 + 790188675390313057/83834824989923918*c_0101_5^10 + 2186179682207335027/83834824989923918*c_0101_5^9 - 1274209237780035736/41917412494961959*c_0101_5^8 + 5373317195705119885/83834824989923918*c_0101_5^7 - 819751883940318461/41917412494961959*c_0101_5^6 - 1249548240480968343/83834824989923918*c_0101_5^5 + 992025549883135820/41917412494961959*c_0101_5^4 - 1807325053364805529/83834824989923918*c_0101_5^3 + 958867692998387309/83834824989923918*c_0101_5^2 + 20877452314486671/83834824989923918*c_0101_5 - 229895580663053617/83834824989923918, c_0101_2 + 7959834288994323/83834824989923918*c_0101_5^17 - 7845752525080003/83834824989923918*c_0101_5^16 + 36329488048233971/83834824989923918*c_0101_5^15 + 20060023416908807/83834824989923918*c_0101_5^14 - 247792264217341670/41917412494961959*c_0101_5^13 + 121032980682516285/41917412494961959*c_0101_5^12 + 74292958287827437/41917412494961959*c_0101_5^11 + 328170781453773033/83834824989923918*c_0101_5^10 + 331006619341311985/83834824989923918*c_0101_5^9 + 19349334458389319/41917412494961959*c_0101_5^8 + 858466302363124593/83834824989923918*c_0101_5^7 - 64300498488680101/41917412494961959*c_0101_5^6 - 2781563290977805/83834824989923918*c_0101_5^5 + 4041222484871628/41917412494961959*c_0101_5^4 - 109027837421973951/83834824989923918*c_0101_5^3 + 67888448354968375/83834824989923918*c_0101_5^2 - 102287143789646757/83834824989923918*c_0101_5 + 49807321192089207/83834824989923918, c_0101_5^18 - c_0101_5^17 + 4*c_0101_5^16 + 3*c_0101_5^15 - 65*c_0101_5^14 + 30*c_0101_5^13 + 54*c_0101_5^12 + 25*c_0101_5^11 + 37*c_0101_5^10 - 33*c_0101_5^9 + 59*c_0101_5^8 - 4*c_0101_5^7 - 30*c_0101_5^6 + 21*c_0101_5^5 - 19*c_0101_5^4 + 7*c_0101_5^3 + 6*c_0101_5^2 - 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB