Magma V2.19-8 Tue Aug 20 2013 17:55:41 on localhost [Seed = 3987495482] Type ? for help. Type -D to quit. Loading file "10_147__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_147 geometric_solution 9.41759092 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 1 0 0 -1 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.042028163484 1.322562297809 0 5 2 6 0132 0132 3120 0132 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 -1 0 0 1 -5 0 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.028781207422 0.979771713631 5 0 1 3 0132 0132 3120 3120 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 -1 1 0 0 0 0 0 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053994651101 0.844796299629 2 7 6 0 3120 0132 1230 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 -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 0.497950115069 0.615473292343 6 8 0 9 1230 0132 0132 0132 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 0 1 -1 -5 0 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921512057088 1.212854721457 2 1 9 7 0132 0132 3012 1023 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002453161220 0.910780378422 9 4 1 3 3012 3012 0132 3012 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 -1 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567052286940 0.655307082585 8 3 8 5 3201 0132 0321 1023 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 -6 0 6 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 0.380092679995 0.783652993997 9 4 7 7 0132 0132 0321 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0 -1 -5 -1 0 6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620902564479 0.784911127733 8 5 4 6 0132 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -6 6 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000716532230 0.691458547109 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0110_7'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_9' : d['c_0110_6'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0110_7'], 'c_1010_4' : d['c_1001_8'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0110_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_6, c_0110_7, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 3900936535476530904512101/190860531068152774308032*c_1001_8^13 + 36627674568012426031881511/95430265534076387154016*c_1001_8^12 - 272769058658617615689167165/95430265534076387154016*c_1001_8^11 + 694656230065275107650186531/190860531068152774308032*c_1001_8^10 - 91450244585145089347470939/23857566383519096788504*c_1001_8^9 + 480241580044065371783016993/190860531068152774308032*c_1001_8^8 + 13974346505290231601797731/4149141979742451615392*c_1001_8^7 - 154817600074213239180652897/23857566383519096788504*c_1001_8^6 + 592854845214222601468209523/95430265534076387154016*c_1001_8^5 - 374289410976858023942450403/95430265534076387154016*c_1001_8^4 - 103136500503680676469550745/47715132767038193577008*c_1001_8^3 + 1067760492890115295502843609/190860531068152774308032*c_1001_8^2 - 646083593082315677714658581/190860531068152774308032*c_1001_8 + 103535528388217592399918751/190860531068152774308032, c_0011_0 - 1, c_0011_3 + 1314531937458756571/13742837778524825339*c_1001_8^13 - 48348393212753422589/27485675557049650678*c_1001_8^12 + 174721704615357548761/13742837778524825339*c_1001_8^11 - 342570951018790432203/27485675557049650678*c_1001_8^10 + 430729448879373327541/27485675557049650678*c_1001_8^9 - 188220894753544081927/27485675557049650678*c_1001_8^8 - 9746797881844649191/597514686022818493*c_1001_8^7 + 661121085128536642337/27485675557049650678*c_1001_8^6 - 325937783692675430273/13742837778524825339*c_1001_8^5 + 334254690049116216733/27485675557049650678*c_1001_8^4 + 161325121922023330697/13742837778524825339*c_1001_8^3 - 570347295730700886903/27485675557049650678*c_1001_8^2 + 293581706286682260169/27485675557049650678*c_1001_8 - 17037651867435637111/13742837778524825339, c_0011_4 + 20594138658042566/13742837778524825339*c_1001_8^13 - 988076590434983429/27485675557049650678*c_1001_8^12 + 4800240415693626866/13742837778524825339*c_1001_8^11 - 33817798226195484805/27485675557049650678*c_1001_8^10 + 20050051849346863201/27485675557049650678*c_1001_8^9 - 16515191806217826063/27485675557049650678*c_1001_8^8 - 150425885885443260/597514686022818493*c_1001_8^7 + 58157495773533890215/27485675557049650678*c_1001_8^6 - 27846565031313261472/13742837778524825339*c_1001_8^5 + 14308444588420563861/27485675557049650678*c_1001_8^4 - 7274839935138599691/13742837778524825339*c_1001_8^3 - 40781750361785900647/27485675557049650678*c_1001_8^2 + 38157079809020395001/27485675557049650678*c_1001_8 + 2372345340206235852/13742837778524825339, c_0011_6 - 5265871228297264841/54971351114099301356*c_1001_8^13 + 24426683320250685971/13742837778524825339*c_1001_8^12 - 178750898353149326114/13742837778524825339*c_1001_8^11 + 786346002096605886857/54971351114099301356*c_1001_8^10 - 218871800420030784523/13742837778524825339*c_1001_8^9 + 511410201169530824741/54971351114099301356*c_1001_8^8 + 9802881882835899082/597514686022818493*c_1001_8^7 - 727756792145245359685/27485675557049650678*c_1001_8^6 + 345266753180680462860/13742837778524825339*c_1001_8^5 - 203862347497806417898/13742837778524825339*c_1001_8^4 - 308651385348030837473/27485675557049650678*c_1001_8^3 + 1265803078904811781011/54971351114099301356*c_1001_8^2 - 651154513515303920865/54971351114099301356*c_1001_8 + 103118828004955320757/54971351114099301356, c_0101_0 - 1839361940390680125/27485675557049650678*c_1001_8^13 + 34726674623133966295/27485675557049650678*c_1001_8^12 - 130294861465644542034/13742837778524825339*c_1001_8^11 + 175627638281984150517/13742837778524825339*c_1001_8^10 - 362491668198767074597/27485675557049650678*c_1001_8^9 + 125684831753970879233/13742837778524825339*c_1001_8^8 + 6593315043482849705/597514686022818493*c_1001_8^7 - 631592593220981881463/27485675557049650678*c_1001_8^6 + 296738863714996148157/13742837778524825339*c_1001_8^5 - 413771230215875319503/27485675557049650678*c_1001_8^4 - 97821077193922389446/13742837778524825339*c_1001_8^3 + 264364515821649305996/13742837778524825339*c_1001_8^2 - 177490967461273526275/13742837778524825339*c_1001_8 + 61593880129351206177/27485675557049650678, c_0101_1 + 3032737420711721053/27485675557049650678*c_1001_8^13 - 28444823986603873450/13742837778524825339*c_1001_8^12 + 423281302356808865691/27485675557049650678*c_1001_8^11 - 537062119520925579897/27485675557049650678*c_1001_8^10 + 596221244277739310111/27485675557049650678*c_1001_8^9 - 187747479930666642261/13742837778524825339*c_1001_8^8 - 20050788788371302395/1195029372045636986*c_1001_8^7 + 481147832314057426696/13742837778524825339*c_1001_8^6 - 945111962323773573495/27485675557049650678*c_1001_8^5 + 288375495881135339222/13742837778524825339*c_1001_8^4 + 273828670700486980069/27485675557049650678*c_1001_8^3 - 838807917224780477311/27485675557049650678*c_1001_8^2 + 257347458883047671288/13742837778524825339*c_1001_8 - 45011276592631496421/13742837778524825339, c_0101_2 + 937026453766998193/13742837778524825339*c_1001_8^13 - 18110105973953081421/13742837778524825339*c_1001_8^12 + 280590106730025978413/27485675557049650678*c_1001_8^11 - 231556595668834566626/13742837778524825339*c_1001_8^10 + 433422537510388231541/27485675557049650678*c_1001_8^9 - 350134878360246112867/27485675557049650678*c_1001_8^8 - 11364786143143666067/1195029372045636986*c_1001_8^7 + 395224892456557527164/13742837778524825339*c_1001_8^6 - 715267197347332649627/27485675557049650678*c_1001_8^5 + 262141898486300734390/13742837778524825339*c_1001_8^4 + 129080091004387914759/27485675557049650678*c_1001_8^3 - 334864144120094041600/13742837778524825339*c_1001_8^2 + 456161937555003071807/27485675557049650678*c_1001_8 - 77438683497171707287/27485675557049650678, c_0110_6 - 1357162231875752500/13742837778524825339*c_1001_8^13 + 24894723530552315151/13742837778524825339*c_1001_8^12 - 179126597835628954817/13742837778524825339*c_1001_8^11 + 166780273638723566302/13742837778524825339*c_1001_8^10 - 203576168762887556670/13742837778524825339*c_1001_8^9 + 89276737404343346285/13742837778524825339*c_1001_8^8 + 10391439958260095169/597514686022818493*c_1001_8^7 - 332292383771720389589/13742837778524825339*c_1001_8^6 + 296464010593306968970/13742837778524825339*c_1001_8^5 - 153704368178997027529/13742837778524825339*c_1001_8^4 - 185055102774450958441/13742837778524825339*c_1001_8^3 + 293929515989461696953/13742837778524825339*c_1001_8^2 - 123770678669797805270/13742837778524825339*c_1001_8 + 9552810570584738851/13742837778524825339, c_0110_7 - 139242051414467913/54971351114099301356*c_1001_8^13 + 790050560274287442/13742837778524825339*c_1001_8^12 - 7513796775282883306/13742837778524825339*c_1001_8^11 + 106881963741266361621/54971351114099301356*c_1001_8^10 - 40134387067932909574/13742837778524825339*c_1001_8^9 + 109418402201449336077/54971351114099301356*c_1001_8^8 - 869639548434822565/597514686022818493*c_1001_8^7 - 74326534735918836763/27485675557049650678*c_1001_8^6 + 62071767926589852052/13742837778524825339*c_1001_8^5 - 41939072819733693255/13742837778524825339*c_1001_8^4 + 44022992923158385393/27485675557049650678*c_1001_8^3 + 90236750433880965647/54971351114099301356*c_1001_8^2 - 168970636084938931805/54971351114099301356*c_1001_8 + 71924258047852107853/54971351114099301356, c_1001_8^14 - 19*c_1001_8^13 + 144*c_1001_8^12 - 209*c_1001_8^11 + 227*c_1001_8^10 - 165*c_1001_8^9 - 137*c_1001_8^8 + 354*c_1001_8^7 - 374*c_1001_8^6 + 260*c_1001_8^5 + 62*c_1001_8^4 - 297*c_1001_8^3 + 226*c_1001_8^2 - 64*c_1001_8 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB