Magma V2.19-8 Tue Aug 20 2013 16:19:18 on localhost [Seed = 425231383] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3416 geometric_solution 6.58397276 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 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 0 1 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 0.720630421672 0.755419882861 0 3 5 4 0132 0132 0132 0132 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 -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 0.273107858232 0.875444792958 6 5 0 3 0132 3201 0132 2310 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 -1 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 0 0 0 0 0.273107858232 0.875444792958 2 1 3 3 3201 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 1 -1 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 0.749216797187 1.199303485331 5 6 1 6 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480807110614 1.309486437314 4 6 2 1 0321 1230 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 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 -0.324745092206 1.040967483874 2 4 5 4 0132 2310 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.620265335277 0.475738471299 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : negation(d['1']), 's_1_1' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0110_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_3'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0110_3']), '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_0011_5, c_0101_0, c_0101_3, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 889577091224244598072495939477/177627287701068836513424475648*c_011\ 0_3^20 - 621974368260539673846995959017/444068219252672091283561189\ 12*c_0110_3^19 + 3057319949088503156438727070095/161479352455517124\ 10311315968*c_0110_3^18 + 54291825770085880949504291849801/17762728\ 7701068836513424475648*c_0110_3^17 + 46174287560392996240382600534477/88813643850534418256712237824*c_01\ 10_3^16 + 33111006326921306028605713252245/888136438505344182567122\ 37824*c_0110_3^15 - 29443632723975856939180566451721/13663637515466\ 833577955728896*c_0110_3^14 - 27586668701662440346974603466337/2220\ 3410962633604564178059456*c_0110_3^13 - 982746684635153508764202543139367/177627287701068836513424475648*c_\ 0110_3^12 + 2320280759359878404107234614417/88813643850534418256712\ 237824*c_0110_3^11 - 349453348312393599607063504455647/177627287701\ 068836513424475648*c_0110_3^10 + 321415036861109582072440215678873/\ 88813643850534418256712237824*c_0110_3^9 + 42712897317704982171744652369389/13663637515466833577955728896*c_01\ 10_3^8 + 711382448325202952368102116437775/177627287701068836513424\ 475648*c_0110_3^7 + 470436860444871605085653543535343/1776272877010\ 68836513424475648*c_0110_3^6 + 315779014130173912945854899987751/17\ 7627287701068836513424475648*c_0110_3^5 + 95349998039709431093722346577223/177627287701068836513424475648*c_0\ 110_3^4 + 42415228633711344844104616468235/177627287701068836513424\ 475648*c_0110_3^3 - 3247781107579890994022173421681/177627287701068\ 836513424475648*c_0110_3^2 - 3426839846293585354091021835721/177627\ 287701068836513424475648*c_0110_3 - 3003485477904609587554468717445/177627287701068836513424475648, c_0011_0 - 1, c_0011_2 - 453515146542284364140725/2426072002036014484722253*c_0110_3^\ 20 - 1161478727392492898577270/2426072002036014484722253*c_0110_3^1\ 9 + 35425574847075002768485925/4852144004072028969444506*c_0110_3^1\ 8 + 24317022157735068945052079/2426072002036014484722253*c_0110_3^1\ 7 + 60381715415668528865236785/4852144004072028969444506*c_0110_3^1\ 6 + 8958422745180819623789439/2426072002036014484722253*c_0110_3^15 - 452920588711896542073483055/4852144004072028969444506*c_0110_3^14 - 77223072122046811280435957/2426072002036014484722253*c_0110_3^13 - 702982596429159784760214377/4852144004072028969444506*c_0110_3^12 + 315176870620605045651062151/4852144004072028969444506*c_0110_3^11 + 98123391532203033710869752/2426072002036014484722253*c_0110_3^10 + 269074619070363798510014058/2426072002036014484722253*c_0110_3^9 + 307078778481952512854742142/2426072002036014484722253*c_0110_3^8 + 102109174989007415996753273/4852144004072028969444506*c_0110_3^7 + 52070754103845156545696807/2426072002036014484722253*c_0110_3^6 - 57991991292018046921199866/2426072002036014484722253*c_0110_3^5 - 115692564998163677939838379/4852144004072028969444506*c_0110_3^4 - 47940947753957737546872755/4852144004072028969444506*c_0110_3^3 - 10690110667507795563426737/4852144004072028969444506*c_0110_3^2 - 1871515639104418114171830/2426072002036014484722253*c_0110_3 + 3405896848217825106490591/4852144004072028969444506, c_0011_4 + 989901116552532192705479/2426072002036014484722253*c_0110_3^\ 20 + 3295075180686041504049359/2426072002036014484722253*c_0110_3^1\ 9 - 35514973294903720599764325/2426072002036014484722253*c_0110_3^1\ 8 - 79034478448706650469735906/2426072002036014484722253*c_0110_3^1\ 7 - 151232662395880193253649250/2426072002036014484722253*c_0110_3^\ 16 - 157734533352291573896020194/2426072002036014484722253*c_0110_3\ ^15 + 339622565015574988625925475/2426072002036014484722253*c_0110_\ 3^14 + 435027259197972978543180464/2426072002036014484722253*c_0110\ _3^13 + 1410525436304835378268674572/2426072002036014484722253*c_01\ 10_3^12 + 715564652267467942392646428/2426072002036014484722253*c_0\ 110_3^11 + 854776773322236793817947429/2426072002036014484722253*c_\ 0110_3^10 - 436364009750945635251365928/2426072002036014484722253*c\ _0110_3^9 - 883628723086575504446452047/2426072002036014484722253*c\ _0110_3^8 - 1369249742072652963697374776/2426072002036014484722253*\ c_0110_3^7 - 1276800474188752752760296596/2426072002036014484722253\ *c_0110_3^6 - 963986193829170525579188125/2426072002036014484722253\ *c_0110_3^5 - 560276697007542740005331688/2426072002036014484722253\ *c_0110_3^4 - 274543603232956946227364278/2426072002036014484722253\ *c_0110_3^3 - 91387978184640756569586680/2426072002036014484722253*\ c_0110_3^2 - 24469661015648172929670165/2426072002036014484722253*c\ _0110_3 - 3200733082024506435508336/2426072002036014484722253, c_0011_5 - 656268578064113674778528/2426072002036014484722253*c_0110_3^\ 20 - 9068732549435580550878669/9704288008144057938889012*c_0110_3^1\ 9 + 23664191394760130350470691/2426072002036014484722253*c_0110_3^1\ 8 + 226438946579177633982132001/9704288008144057938889012*c_0110_3^\ 17 + 92293713076993833627596634/2426072002036014484722253*c_0110_3^\ 16 + 349811073831599392582294227/9704288008144057938889012*c_0110_3\ ^15 - 259255624987632896537995193/2426072002036014484722253*c_0110_\ 3^14 - 1421110242731886908006182929/9704288008144057938889012*c_011\ 0_3^13 - 3211790791200340833656437145/9704288008144057938889012*c_0\ 110_3^12 - 848199861754904163898191001/4852144004072028969444506*c_\ 0110_3^11 - 368517337758452439043468049/4852144004072028969444506*c\ _0110_3^10 + 672137209955879217395025747/4852144004072028969444506*\ c_0110_3^9 + 2761726522617233064182930103/9704288008144057938889012\ *c_0110_3^8 + 721182048570325783930680185/2426072002036014484722253\ *c_0110_3^7 + 605157803512409423258656196/2426072002036014484722253\ *c_0110_3^6 + 1605912856754105420765748603/970428800814405793888901\ 2*c_0110_3^5 + 820521077106822485634064205/970428800814405793888901\ 2*c_0110_3^4 + 351599171996672080727239013/970428800814405793888901\ 2*c_0110_3^3 + 33382830674963436031263259/2426072002036014484722253\ *c_0110_3^2 + 40844662831082443828719995/9704288008144057938889012*\ c_0110_3 + 1677022267444409345036959/4852144004072028969444506, c_0101_0 - 4537119901522545314483943/4852144004072028969444506*c_0110_3\ ^20 - 5659336712198902987700971/2426072002036014484722253*c_0110_3^\ 19 + 175198586755303051775521407/4852144004072028969444506*c_0110_3\ ^18 + 112298738630404618989857011/2426072002036014484722253*c_0110_\ 3^17 + 393308592546962225151079065/4852144004072028969444506*c_0110\ _3^16 + 103586161912780122707104609/2426072002036014484722253*c_011\ 0_3^15 - 2036108631552202133761613049/4852144004072028969444506*c_0\ 110_3^14 - 513622526754633850545691293/4852144004072028969444506*c_\ 0110_3^13 - 2365845644350855027620529419/2426072002036014484722253*\ c_0110_3^12 + 742479719710709297940283945/2426072002036014484722253\ *c_0110_3^11 - 981230372187975651549849680/242607200203601448472225\ 3*c_0110_3^10 + 3681622027302270788212491873/4852144004072028969444\ 506*c_0110_3^9 + 896861464204865325307776155/2426072002036014484722\ 253*c_0110_3^8 + 1361007678560175454271315730/242607200203601448472\ 2253*c_0110_3^7 + 1540243466496411092391769763/48521440040720289694\ 44506*c_0110_3^6 + 1003050816671200847505979459/4852144004072028969\ 444506*c_0110_3^5 + 238769602109994398030784651/4852144004072028969\ 444506*c_0110_3^4 + 87095952737581723429504589/24260720020360144847\ 22253*c_0110_3^3 - 9296200447305896090861929/4852144004072028969444\ 506*c_0110_3^2 + 1693803629932268483039907/242607200203601448472225\ 3*c_0110_3 - 2923641127517046785186731/2426072002036014484722253, c_0101_3 - 649506087476655/1560870293156071*c_0110_3^20 - 2261847481140828/1560870293156071*c_0110_3^19 + 46351096676300091/3121740586312142*c_0110_3^18 + 56014414786443254/1560870293156071*c_0110_3^17 + 198908949655334239/3121740586312142*c_0110_3^16 + 106220306495549560/1560870293156071*c_0110_3^15 - 457874194964527445/3121740586312142*c_0110_3^14 - 335931843401603387/1560870293156071*c_0110_3^13 - 1763265112674419291/3121740586312142*c_0110_3^12 - 1120793806974717279/3121740586312142*c_0110_3^11 - 398140492168323264/1560870293156071*c_0110_3^10 + 201369257386363389/1560870293156071*c_0110_3^9 + 710386581510219590/1560870293156071*c_0110_3^8 + 1671873663574507435/3121740586312142*c_0110_3^7 + 842684172316201469/1560870293156071*c_0110_3^6 + 600467122726717340/1560870293156071*c_0110_3^5 + 695739708923272131/3121740586312142*c_0110_3^4 + 329430501370778981/3121740586312142*c_0110_3^3 + 119637296069476713/3121740586312142*c_0110_3^2 + 13934436428732165/1560870293156071*c_0110_3 + 5374305895317727/3121740586312142, c_0110_3^21 + 3*c_0110_3^20 - 37*c_0110_3^19 - 68*c_0110_3^18 - 125*c_0110_3^17 - 112*c_0110_3^16 + 387*c_0110_3^15 + 311*c_0110_3^14 + 1251*c_0110_3^13 + 299*c_0110_3^12 + 669*c_0110_3^11 - 573*c_0110_3^10 - 667*c_0110_3^9 - 1054*c_0110_3^8 - 880*c_0110_3^7 - 680*c_0110_3^6 - 368*c_0110_3^5 - 196*c_0110_3^4 - 68*c_0110_3^3 - 24*c_0110_3^2 - 4*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB