Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3297073372] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s728 geometric_solution 5.24150617 oriented_manifold CS_known 0.0000000000000000 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 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 0.278135398597 0.247519073151 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 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 0.715477473553 1.538010869364 1 3 4 5 0132 3201 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069318493660 0.963651251125 5 4 2 1 1023 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.069318493660 0.963651251125 4 4 3 2 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402705898955 0.549520570903 5 3 2 5 3201 1023 0132 2310 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 -1 0 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 0.645795736092 1.074919907482 ==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_3'], '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_4']), 'c_0101_3' : negation(d['c_0011_4']), '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_4'], '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_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], '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' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 668098637915906360088/29380096158214327435*c_0101_1^18 - 249517815463939215888/2260007396785717495*c_0101_1^17 + 8887742311067920355669/29380096158214327435*c_0101_1^16 - 24791662420720080551014/29380096158214327435*c_0101_1^15 + 9450354566401483060891/5876019231642865487*c_0101_1^14 - 56137504625374047353922/29380096158214327435*c_0101_1^13 + 5094340447241137571953/4197156594030618205*c_0101_1^12 + 14730703698528047429467/29380096158214327435*c_0101_1^11 - 20631473006548660864050/5876019231642865487*c_0101_1^10 + 31119848952789237199733/5876019231642865487*c_0101_1^9 - 171383555207001267616422/29380096158214327435*c_0101_1^8 + 26431534867243567797451/5876019231642865487*c_0101_1^7 - 730230263850456354391/839431318806123641*c_0101_1^6 - 43630705141314757111418/29380096158214327435*c_0101_1^5 + 4706012899782640799624/2260007396785717495*c_0101_1^4 - 684020579255131902930/839431318806123641*c_0101_1^3 + 5919056451938581916739/29380096158214327435*c_0101_1^2 + 51949010730105320221/452001479357143499*c_0101_1 - 4982277011567019419799/29380096158214327435, c_0011_0 - 1, c_0011_1 - 732142830951/3036284740385*c_0101_1^18 + 264067752861/233560364645*c_0101_1^17 - 9334165049858/3036284740385*c_0101_1^16 + 26417895433948/3036284740385*c_0101_1^15 - 9926376249229/607256948077*c_0101_1^14 + 59624253041634/3036284740385*c_0101_1^13 - 41426602889632/3036284740385*c_0101_1^12 - 7515298585619/3036284740385*c_0101_1^11 + 19961420560774/607256948077*c_0101_1^10 - 30829004237740/607256948077*c_0101_1^9 + 185420484181079/3036284740385*c_0101_1^8 - 30506656764939/607256948077*c_0101_1^7 + 10142378474325/607256948077*c_0101_1^6 + 13539107581036/3036284740385*c_0101_1^5 - 3743053354648/233560364645*c_0101_1^4 + 3765512430088/607256948077*c_0101_1^3 - 15700978962948/3036284740385*c_0101_1^2 + 2617101217/46712072929*c_0101_1 + 2296987079483/3036284740385, c_0011_3 - 1040272086919614141/4197156594030618205*c_0101_1^18 + 382802023560652496/322858199540816785*c_0101_1^17 - 13546719421944604228/4197156594030618205*c_0101_1^16 + 37946247906231819673/4197156594030618205*c_0101_1^15 - 14376923727242601567/839431318806123641*c_0101_1^14 + 85354630151281037249/4197156594030618205*c_0101_1^13 - 55789735715041477352/4197156594030618205*c_0101_1^12 - 16375380640513887399/4197156594030618205*c_0101_1^11 + 29449045545628929630/839431318806123641*c_0101_1^10 - 44794989400370177588/839431318806123641*c_0101_1^9 + 256435480167991734279/4197156594030618205*c_0101_1^8 - 41505154475014351180/839431318806123641*c_0101_1^7 + 12377063245899924069/839431318806123641*c_0101_1^6 + 35412004309351243681/4197156594030618205*c_0101_1^5 - 4749406976156704598/322858199540816785*c_0101_1^4 + 4049813358510861127/839431318806123641*c_0101_1^3 - 12120547722016390973/4197156594030618205*c_0101_1^2 - 26334107809087075/64571639908163357*c_0101_1 + 1613815787082244043/4197156594030618205, c_0011_4 + 315123838613672142/4197156594030618205*c_0101_1^18 - 85873916212891997/322858199540816785*c_0101_1^17 + 2341521216001098926/4197156594030618205*c_0101_1^16 - 6901623867266731086/4197156594030618205*c_0101_1^15 + 1766943798445696745/839431318806123641*c_0101_1^14 - 2607019871542375273/4197156594030618205*c_0101_1^13 - 8169212787646394651/4197156594030618205*c_0101_1^12 + 17764277575281864693/4197156594030618205*c_0101_1^11 - 6530484492207884005/839431318806123641*c_0101_1^10 + 2565115172444619950/839431318806123641*c_0101_1^9 - 6131207708878084318/4197156594030618205*c_0101_1^8 - 2760535034465771051/839431318806123641*c_0101_1^7 + 7151451000516915871/839431318806123641*c_0101_1^6 - 13025331097771892657/4197156594030618205*c_0101_1^5 - 226939330510703379/322858199540816785*c_0101_1^4 + 4129656397230604538/839431318806123641*c_0101_1^3 - 672340660569791134/4197156594030618205*c_0101_1^2 + 120380831128463292/64571639908163357*c_0101_1 + 752093573281458379/4197156594030618205, c_0101_0 + 38925983589895774/4197156594030618205*c_0101_1^18 + 8874733138679326/322858199540816785*c_0101_1^17 - 889633382726628103/4197156594030618205*c_0101_1^16 + 2439792152437692703/4197156594030618205*c_0101_1^15 - 1662280965544711756/839431318806123641*c_0101_1^14 + 17383139232705766649/4197156594030618205*c_0101_1^13 - 23603201603873220412/4197156594030618205*c_0101_1^12 + 19443244127188507786/4197156594030618205*c_0101_1^11 - 705407284172619373/839431318806123641*c_0101_1^10 - 6590234643602226673/839431318806123641*c_0101_1^9 + 55247619104038165109/4197156594030618205*c_0101_1^8 - 15156120752047064406/839431318806123641*c_0101_1^7 + 12669016332472248329/839431318806123641*c_0101_1^6 - 26731474024080648449/4197156594030618205*c_0101_1^5 - 263333184760791763/322858199540816785*c_0101_1^4 + 5095947701507479891/839431318806123641*c_0101_1^3 - 12217021090332834018/4197156594030618205*c_0101_1^2 + 130811434729965575/64571639908163357*c_0101_1 + 1383760814160972833/4197156594030618205, c_0101_1^19 - 5*c_0101_1^18 + 14*c_0101_1^17 - 39*c_0101_1^16 + 76*c_0101_1^15 - 94*c_0101_1^14 + 65*c_0101_1^13 + 15*c_0101_1^12 - 158*c_0101_1^11 + 255*c_0101_1^10 - 289*c_0101_1^9 + 233*c_0101_1^8 - 65*c_0101_1^7 - 61*c_0101_1^6 + 101*c_0101_1^5 - 48*c_0101_1^4 + 13*c_0101_1^3 + 4*c_0101_1^2 - 8*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB