Magma V2.19-8 Tue Aug 20 2013 17:59:41 on localhost [Seed = 1326381990] Type ? for help. Type -D to quit. Loading file "11_14__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_14 geometric_solution 11.40695338 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547408101967 0.783185068024 0 5 6 2 0132 0132 0132 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432439356245 0.753952427910 7 0 1 8 0132 0132 0132 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 -1 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919220854752 1.263535135186 7 9 10 0 3120 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 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 0.435556170932 1.042512949493 5 11 0 9 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.434218056830 0.588128659225 4 1 11 10 0132 0132 0132 3120 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 -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 0.841315646437 1.036019688636 7 12 8 1 2103 0132 0132 0132 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 0 1 -1 0 1 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 -1.094498326045 0.856278901555 2 11 6 3 0132 1023 2103 3120 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 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 0.497605203223 0.452055354282 12 9 2 6 3012 0213 0132 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 1 0 0 -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 -0.127383481580 0.514322978465 4 3 8 10 3012 0132 0213 3012 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 -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 0.669831264908 0.424198546769 5 12 9 3 3120 1230 1230 0132 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 -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 0.048396723760 1.868190580434 7 4 12 5 1023 0132 1302 0132 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 -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 0.843845960303 0.817402366552 11 6 10 8 2031 0132 3012 1230 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 0 -1 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 0.435039219083 0.406930917746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_6'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : 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'], 'c_1100_12' : d['c_0101_6'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_9, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 14283382241593585066690025468318764659/1695048229194404073922809180\ 29492198*c_1100_1^18 + 16853001220139116579216229738956736241/16950\ 4822919440407392280918029492198*c_1100_1^17 + 35785710839155910900160830354492587187/2421497470277720105604013114\ 7070314*c_1100_1^16 - 102920183342307264374716888784379588365/16950\ 4822919440407392280918029492198*c_1100_1^15 - 946179186327586250162238925554446576843/169504822919440407392280918\ 029492198*c_1100_1^14 + 122164514506588494298330882678341167351/997\ 0871936437671023075348119381894*c_1100_1^13 + 2204141966512410253589669477745751308966/84752411459720203696140459\ 014746099*c_1100_1^12 - 405940278007910950831825918211826107917/847\ 52411459720203696140459014746099*c_1100_1^11 - 5003750076385421575990716274462192712789/84752411459720203696140459\ 014746099*c_1100_1^10 + 2781186903842890439286342843771665453456/84\ 752411459720203696140459014746099*c_1100_1^9 + 35445416670490173787667961724538838514527/1695048229194404073922809\ 18029492198*c_1100_1^8 - 778569894328476613703949301175681044362/12\ 107487351388600528020065573535157*c_1100_1^7 - 16542101200648612647522181559720741963358/8475241145972020369614045\ 9014746099*c_1100_1^6 + 34070615527998568400242466562698020773989/1\ 69504822919440407392280918029492198*c_1100_1^5 + 27414987599707795861473271032878417655091/1695048229194404073922809\ 18029492198*c_1100_1^4 - 17469243133968821422068284159901233070297/\ 169504822919440407392280918029492198*c_1100_1^3 - 7252758625240114021199920997727218796503/16950482291944040739228091\ 8029492198*c_1100_1^2 + 3169024971123360878353025993767275862749/16\ 9504822919440407392280918029492198*c_1100_1 + 65029583336641536742050481432936482535/8475241145972020369614045901\ 4746099, c_0011_0 - 1, c_0011_10 - 192395234656173180716148642654/1691698665836048697501755704\ 001*c_1100_1^18 - 286869628759419602030201997817/169169866583604869\ 7501755704001*c_1100_1^17 - 7068471174278524658137284497553/3383397\ 331672097395003511408002*c_1100_1^16 + 231584858390423322796686584353/1691698665836048697501755704001*c_11\ 00_1^15 + 11560945897208182046952075723271/169169866583604869750175\ 5704001*c_1100_1^14 - 23392939493403955998301436391828/169169866583\ 6048697501755704001*c_1100_1^13 - 63014570728500416613275981738953/\ 1691698665836048697501755704001*c_1100_1^12 - 39873005098202740531497986294137/3383397331672097395003511408002*c_\ 1100_1^11 + 113271790527856809941204949577966/169169866583604869750\ 1755704001*c_1100_1^10 - 35391908050888508008156415623585/169169866\ 5836048697501755704001*c_1100_1^9 - 898027772928384698369432319542293/3383397331672097395003511408002*c\ _1100_1^8 - 67416232433343726838091967798223/3383397331672097395003\ 511408002*c_1100_1^7 + 594682510709864434453067854004587/3383397331\ 672097395003511408002*c_1100_1^6 - 555961630157599036879617201206385/3383397331672097395003511408002*c\ _1100_1^5 - 402762573999987425309674394815909/169169866583604869750\ 1755704001*c_1100_1^4 - 69087082164645960492150022654167/3383397331\ 672097395003511408002*c_1100_1^3 + 90821225816109020273042792388047/3383397331672097395003511408002*c_\ 1100_1^2 - 8922544063193336066160307056643/338339733167209739500351\ 1408002*c_1100_1 - 9557007952099923615912575870455/3383397331672097\ 395003511408002, c_0011_12 + 70147254577583485491720477499/16916986658360486975017557040\ 01*c_1100_1^18 + 114837141666493459666775717130/1691698665836048697\ 501755704001*c_1100_1^17 + 1307764429910744697718135826471/16916986\ 65836048697501755704001*c_1100_1^16 + 105390243457225926815409539362/1691698665836048697501755704001*c_11\ 00_1^15 - 4158168510313536530502566931372/1691698665836048697501755\ 704001*c_1100_1^14 + 7836736801430061694433419036026/16916986658360\ 48697501755704001*c_1100_1^13 + 24059217923820393458474366687065/16\ 91698665836048697501755704001*c_1100_1^12 + 11333630028850255391216296687229/1691698665836048697501755704001*c_\ 1100_1^11 - 39682723283668542464202822601256/1691698665836048697501\ 755704001*c_1100_1^10 + 6355077061540229054399545820667/16916986658\ 36048697501755704001*c_1100_1^9 + 163996227416284266653166077241331\ /1691698665836048697501755704001*c_1100_1^8 + 39615957101018218605893157943321/1691698665836048697501755704001*c_\ 1100_1^7 - 100480217302218998848946028431459/1691698665836048697501\ 755704001*c_1100_1^6 + 77030064435075461814143521520978/16916986658\ 36048697501755704001*c_1100_1^5 + 162363069496434194770841114156682\ /1691698665836048697501755704001*c_1100_1^4 + 46013581608504144146698626788021/1691698665836048697501755704001*c_\ 1100_1^3 - 18370079462627696808346615384347/16916986658360486975017\ 55704001*c_1100_1^2 - 3206614539316852035300695034513/1691698665836\ 048697501755704001*c_1100_1 + 4176380000607697035403031356553/16916\ 98665836048697501755704001, c_0011_3 + 298826063060755846350077441347/33833973316720973950035114080\ 02*c_1100_1^18 + 440058490709003538204349604911/3383397331672097395\ 003511408002*c_1100_1^17 + 5493187239538167558787648044773/33833973\ 31672097395003511408002*c_1100_1^16 - 222907642542392480762852965098/1691698665836048697501755704001*c_11\ 00_1^15 - 8862491702574750760737491316847/1691698665836048697501755\ 704001*c_1100_1^14 + 36605244832938212001672320786911/3383397331672\ 097395003511408002*c_1100_1^13 + 96626973519352711662309838716457/3\ 383397331672097395003511408002*c_1100_1^12 + 30789352095913626064395301212885/3383397331672097395003511408002*c_\ 1100_1^11 - 173292876981979883534273054220373/338339733167209739500\ 3511408002*c_1100_1^10 + 29739179588385087886806047661887/169169866\ 5836048697501755704001*c_1100_1^9 + 690843327712385933664778905692939/3383397331672097395003511408002*c\ _1100_1^8 + 44490463937437936455547923392517/3383397331672097395003\ 511408002*c_1100_1^7 - 219045943710467326757837380578166/1691698665\ 836048697501755704001*c_1100_1^6 + 218683928302388569007798239762740/1691698665836048697501755704001*c\ _1100_1^5 + 305778224123836247093074970761118/169169866583604869750\ 1755704001*c_1100_1^4 + 60088961302768944790221416428625/3383397331\ 672097395003511408002*c_1100_1^3 - 51119081553399347229943999464347/3383397331672097395003511408002*c_\ 1100_1^2 + 7577073160721700147115896857458/169169866583604869750175\ 5704001*c_1100_1 + 6447245155950260050878440998999/3383397331672097\ 395003511408002, c_0011_8 + c_1100_1, c_0101_0 - 1, c_0101_1 + 193780304751058962631789630085/33833973316720973950035114080\ 02*c_1100_1^18 + 150575178530889629803372375809/1691698665836048697\ 501755704001*c_1100_1^17 + 3595512138674912783990730304067/33833973\ 31672097395003511408002*c_1100_1^16 - 5476396407415646662927087753/3383397331672097395003511408002*c_1100\ _1^15 - 11350412668677985621256115800163/33833973316720973950035114\ 08002*c_1100_1^14 + 11201915812556491174053199665229/16916986658360\ 48697501755704001*c_1100_1^13 + 64266504798663198494088320652081/33\ 83397331672097395003511408002*c_1100_1^12 + 13699751190672277081454797300491/1691698665836048697501755704001*c_\ 1100_1^11 - 110753964169846561569488483756761/338339733167209739500\ 3511408002*c_1100_1^10 + 25490307606912727729897693057209/338339733\ 1672097395003511408002*c_1100_1^9 + 223126545658796137328308506310742/1691698665836048697501755704001*c\ _1100_1^8 + 79227175643598513169413532741847/3383397331672097395003\ 511408002*c_1100_1^7 - 270161408115738413787379057000877/3383397331\ 672097395003511408002*c_1100_1^6 + 219855843629122886500749221105861/3383397331672097395003511408002*c\ _1100_1^5 + 427556851528835742799444276630667/338339733167209739500\ 3511408002*c_1100_1^4 + 52790951944062667070248642952412/1691698665\ 836048697501755704001*c_1100_1^3 - 54227094534787579703211673489363/3383397331672097395003511408002*c_\ 1100_1^2 - 7342407031632960100763711708053/338339733167209739500351\ 1408002*c_1100_1 + 4926866809839450460843944540930/1691698665836048\ 697501755704001, c_0101_10 - 65712937267212117215356818202/16916986658360486975017557040\ 01*c_1100_1^18 - 286747421786565810285795847801/3383397331672097395\ 003511408002*c_1100_1^17 - 1249845498081953839708444100444/16916986\ 65836048697501755704001*c_1100_1^16 - 734452213128293269682253491223/1691698665836048697501755704001*c_11\ 00_1^15 + 4447272294747301216344087236229/1691698665836048697501755\ 704001*c_1100_1^14 - 5596044146361046558024040788698/16916986658360\ 48697501755704001*c_1100_1^13 - 56670080188309281311307287493893/33\ 83397331672097395003511408002*c_1100_1^12 - 17797862318670837239922740261997/1691698665836048697501755704001*c_\ 1100_1^11 + 39542585953509581536809967252859/1691698665836048697501\ 755704001*c_1100_1^10 + 26911766958282765555123284822391/3383397331\ 672097395003511408002*c_1100_1^9 - 351884605067255008251252740401491/3383397331672097395003511408002*c\ _1100_1^8 - 207843027413575876573326120677545/338339733167209739500\ 3511408002*c_1100_1^7 + 284587378420002242800651379319951/338339733\ 1672097395003511408002*c_1100_1^6 - 53207979513953420589890519226396/1691698665836048697501755704001*c_\ 1100_1^5 - 446165143087380879704096438598623/3383397331672097395003\ 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