Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 3280101291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s867 geometric_solution 5.51929067 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 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 0.454455420495 0.313072050762 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053294980226 0.714931183935 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 -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 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488224624141 0.621248774548 5 4 2 1 1023 3201 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.488224624141 0.621248774548 4 4 3 2 1302 2031 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 0.658134434019 1.102541097394 5 3 2 5 3012 1023 0132 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 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 0.313784158902 0.988226477804 ==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_1']), '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_1']), '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' : d['c_0011_3'], '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_1']), '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: 22 Groebner basis: [ t + 51116192857847260826594921287268/10868177460362895151682378844889*c\ _0101_1^21 + 32678939205453895446425502377734/108681774603628951516\ 82378844889*c_0101_1^20 - 748366030763258410198439305611971/1086817\ 7460362895151682378844889*c_0101_1^19 - 2096947981170184782202327807549251/10868177460362895151682378844889\ *c_0101_1^18 - 2158710905319517582029235055618718/10868177460362895\ 151682378844889*c_0101_1^17 + 2062565567485867975963967626218898/10\ 868177460362895151682378844889*c_0101_1^16 + 4395273193693478485539341832596407/10868177460362895151682378844889\ *c_0101_1^15 + 6882048761587299279630955528967680/10868177460362895\ 151682378844889*c_0101_1^14 - 13438929225426060228695568611538091/1\ 0868177460362895151682378844889*c_0101_1^13 - 67300058803840799113432767136230316/1086817746036289515168237884488\ 9*c_0101_1^12 - 85397590410630047533782128772547246/108681774603628\ 95151682378844889*c_0101_1^11 - 19228134712540846343489188767045411\ /10868177460362895151682378844889*c_0101_1^10 + 77091051914647891186664605858291293/1086817746036289515168237884488\ 9*c_0101_1^9 + 4179334312125937910147057253291445/47252945479838674\ 5725320819343*c_0101_1^8 + 91014086114863797156913215383229077/1086\ 8177460362895151682378844889*c_0101_1^7 + 61503120232909433022721908607976877/1086817746036289515168237884488\ 9*c_0101_1^6 - 11098465668093817044000997187365093/1086817746036289\ 5151682378844889*c_0101_1^5 + 22563131146425514707747713000300/8153\ 171388119201164052797333*c_0101_1^4 + 68380297041854369052477119583320295/1086817746036289515168237884488\ 9*c_0101_1^3 + 6553751040410331883450713074404759/10868177460362895\ 151682378844889*c_0101_1^2 - 17329585033984033821367063468470096/10\ 868177460362895151682378844889*c_0101_1 - 3640096541158559791760697537734985/10868177460362895151682378844889\ , c_0011_0 - 1, c_0011_1 + 1682606753476274068148/2958060866001420605317*c_0101_1^21 - 3088555812536101162433/2958060866001420605317*c_0101_1^20 - 15116450974732458863334/2958060866001420605317*c_0101_1^19 - 35716442395994387320411/2958060866001420605317*c_0101_1^18 + 1756547369061336702502/2958060866001420605317*c_0101_1^17 + 29819986749181989485398/2958060866001420605317*c_0101_1^16 + 85988238173020107838904/2958060866001420605317*c_0101_1^15 + 44406349783766270196040/2958060866001420605317*c_0101_1^14 - 470409360287471948839176/2958060866001420605317*c_0101_1^13 - 1031315283958061119656644/2958060866001420605317*c_0101_1^12 - 798091461375551818288693/2958060866001420605317*c_0101_1^11 + 387272692308220095467993/2958060866001420605317*c_0101_1^10 + 1080098114887275783425834/2958060866001420605317*c_0101_1^9 + 1164661142240750833305115/2958060866001420605317*c_0101_1^8 + 1098875806514191572130746/2958060866001420605317*c_0101_1^7 + 185344145947975365856713/2958060866001420605317*c_0101_1^6 + 34540417758264705959192/2958060866001420605317*c_0101_1^5 + 23721758690172931427990/95421318258110342107*c_0101_1^4 + 468927115507663660026191/2958060866001420605317*c_0101_1^3 - 104363429701187336609812/2958060866001420605317*c_0101_1^2 - 132345205379169084343157/2958060866001420605317*c_0101_1 - 22458425920610383763888/2958060866001420605317, c_0011_3 + 1055973811447365381908405045/1336963643789260075246940441*c_\ 0101_1^21 - 2454277925436867927616461516/13369636437892600752469404\ 41*c_0101_1^20 - 8305396184532067678601269960/133696364378926007524\ 6940441*c_0101_1^19 - 18337928393664429939592025397/133696364378926\ 0075246940441*c_0101_1^18 + 10285494230363085703507843837/133696364\ 3789260075246940441*c_0101_1^17 + 14050923071177175305093995453/133\ 6963643789260075246940441*c_0101_1^16 + 47231369929874068629538916492/1336963643789260075246940441*c_0101_1\ ^15 + 3973067782880125681261042785/1336963643789260075246940441*c_0\ 101_1^14 - 297318912522702121200526284170/1336963643789260075246940\ 441*c_0101_1^13 - 503772102500159296563624633151/133696364378926007\ 5246940441*c_0101_1^12 - 247668271302438147615309638665/13369636437\ 89260075246940441*c_0101_1^11 + 375956253785527995639047516812/1336\ 963643789260075246940441*c_0101_1^10 + 503233836354748622761340846631/1336963643789260075246940441*c_0101_\ 1^9 + 20819578049866039876625793754/58128854077793916315084367*c_01\ 01_1^8 + 443098465508331222882284356187/133696364378926007524694044\ 1*c_0101_1^7 - 108475919610627078505274589841/133696364378926007524\ 6940441*c_0101_1^6 + 56876125675374957295662438573/1336963643789260\ 075246940441*c_0101_1^5 + 327147876356411578660805416/1002973476210\ 997805886677*c_0101_1^4 + 79607682970447484825153772659/13369636437\ 89260075246940441*c_0101_1^3 - 116687264900779208887629725042/13369\ 63643789260075246940441*c_0101_1^2 - 28225205321711335577894607842/1336963643789260075246940441*c_0101_1 + 1182584174536093975497062048/1336963643789260075246940441, c_0011_4 + 124046815243948488495681804254/98801613276026319560748898589\ 9*c_0101_1^21 - 56755457168882201862017799107/988016132760263195607\ 488985899*c_0101_1^20 - 1716189079826766013528167035929/98801613276\ 0263195607488985899*c_0101_1^19 - 3322255303798625413706514343105/9\ 88016132760263195607488985899*c_0101_1^18 - 1816336379764171477288170513889/988016132760263195607488985899*c_01\ 01_1^17 + 6542836148203296246355840767377/9880161327602631956074889\ 85899*c_0101_1^16 + 4286385518244770604216914830592/988016132760263\ 195607488985899*c_0101_1^15 + 12093281705497329312803234851283/9880\ 16132760263195607488985899*c_0101_1^14 - 44449184799520055650189229776563/988016132760263195607488985899*c_0\ 101_1^13 - 115619516969925491112192444786470/9880161327602631956074\ 88985899*c_0101_1^12 - 90783517240032088504992986893268/98801613276\ 0263195607488985899*c_0101_1^11 + 42889685291655537225084389656470/\ 988016132760263195607488985899*c_0101_1^10 + 142193860481639981296377640407749/988016132760263195607488985899*c_\ 0101_1^9 + 4088980763462494791866777088575/429572231634897041568473\ 47213*c_0101_1^8 + 124351128457186119952985042281309/98801613276026\ 3195607488985899*c_0101_1^7 + 19554135942691314223729665820801/9880\ 16132760263195607488985899*c_0101_1^6 - 42602509069831260875809245075574/988016132760263195607488985899*c_0\ 101_1^5 + 80643986879464135437414348154/741197398919927378550254303\ *c_0101_1^4 + 56285406963776037372995534990902/98801613276026319560\ 7488985899*c_0101_1^3 - 34259829308621080468431860989595/9880161327\ 60263195607488985899*c_0101_1^2 - 12758377123146413390799441334120/\ 988016132760263195607488985899*c_0101_1 + 839675785901642519961965313288/988016132760263195607488985899, c_0101_0 - 1628020215646149223810612817/2161960903195324279228641107*c_\ 0101_1^21 + 5078903671342589293828574660/21619609031953242792286411\ 07*c_0101_1^20 + 9797548842471724343037871693/216196090319532427922\ 8641107*c_0101_1^19 + 18121560203571365993457866162/216196090319532\ 4279228641107*c_0101_1^18 - 38496377706952672973448834656/216196090\ 3195324279228641107*c_0101_1^17 - 9367482632644452265522451520/2161\ 960903195324279228641107*c_0101_1^16 - 56065370505815744559441017958/2161960903195324279228641107*c_0101_1\ ^15 + 52622203628929286132031112680/2161960903195324279228641107*c_\ 0101_1^14 + 463647721129599920829708197225/216196090319532427922864\ 1107*c_0101_1^13 + 413346053567185214462841635228/21619609031953242\ 79228641107*c_0101_1^12 - 237167395527901666809426794500/2161960903\ 195324279228641107*c_0101_1^11 - 897549751204801466665318726945/216\ 1960903195324279228641107*c_0101_1^10 - 326069754287628922284143682432/2161960903195324279228641107*c_0101_\ 1^9 - 5244065039363290919322608983/93998300138927142575158309*c_010\ 1_1^8 - 75653855220401020166940252408/2161960903195324279228641107*\ c_0101_1^7 + 719019171522608662092989976241/21619609031953242792286\ 41107*c_0101_1^6 - 209811234045062278677215367984/21619609031953242\ 79228641107*c_0101_1^5 - 443604400921090115334083315/16218761464331\ 01484792679*c_0101_1^4 + 397049704919356485506579182785/21619609031\ 95324279228641107*c_0101_1^3 + 292359708679108069977411698704/21619\ 60903195324279228641107*c_0101_1^2 - 88851600225447694891837178506/2161960903195324279228641107*c_0101_1 - 42377190387453355598454979450/2161960903195324279228641107, c_0101_1^22 - 2*c_0101_1^21 - 9*c_0101_1^20 - 19*c_0101_1^19 + 7*c_0101_1^18 + 23*c_0101_1^17 + 45*c_0101_1^16 + 14*c_0101_1^15 - 298*c_0101_1^14 - 568*c_0101_1^13 - 284*c_0101_1^12 + 456*c_0101_1^11 + 677*c_0101_1^10 + 475*c_0101_1^9 + 394*c_0101_1^8 - 140*c_0101_1^7 - 130*c_0101_1^6 + 469*c_0101_1^5 + 182*c_0101_1^4 - 234*c_0101_1^3 - 91*c_0101_1^2 + 30*c_0101_1 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB