Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 1461111682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1530 geometric_solution 5.32610462 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 3201 0 0 0 0 0 -1 1 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 1 -1 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 2.058045337240 0.898642542517 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 -1 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 0.988462512811 0.499193915980 2 0 2 0 2031 2310 1302 0132 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 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 -0.887022714252 0.246166756837 5 1 4 6 0132 0132 1302 0132 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 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 0.419999877386 0.696791372345 3 6 5 1 2031 2310 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 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 0.419999877386 0.696791372345 3 5 5 4 0132 3201 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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096793031149 0.734332839164 6 6 3 4 1230 3012 0132 3201 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092040796521 0.784723546003 ==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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 28/3*c_0101_5^2 + 65/3*c_0101_5 + 15, c_0011_0 - 1, c_0011_2 - c_0101_5 + 1, c_0011_4 - c_0101_5^2 + 2*c_0101_5, c_0011_6 - c_0101_5 + 1, c_0101_0 + c_0101_5, c_0101_1 - c_0101_5^2 + 2*c_0101_5, c_0101_5^3 - 3*c_0101_5^2 + 1 ], 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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 124795653494400386361073254125/1438838743314475482145938*c_0101_5^3\ 5 + 319456237126677177623546286925/719419371657237741072969*c_0101_\ 5^34 - 520036326021754149942423732635/1438838743314475482145938*c_0\ 101_5^33 - 238376751198760906179173493845/53290323826462054894294*c\ _0101_5^32 - 2949985502194615453821256225217/1438838743314475482145\ 938*c_0101_5^31 + 4465451783556385961133746457578/23980645721907924\ 7024323*c_0101_5^30 + 10414150936361417138400173996573/479612914438\ 158494048646*c_0101_5^29 - 19667269271747958451269196927643/4796129\ 14438158494048646*c_0101_5^28 - 39970451914934870341181635287451/47\ 9612914438158494048646*c_0101_5^27 + 29395902535452376890519446275573/719419371657237741072969*c_0101_5^\ 26 + 9925676484462405140059166820029/53290323826462054894294*c_0101\ _5^25 + 2569746836366063201531477275316/79935485739693082341441*c_0\ 101_5^24 - 195135397193196111569633299412218/7194193716572377410729\ 69*c_0101_5^23 - 86823697791122666342340471264245/47961291443815849\ 4048646*c_0101_5^22 + 61235167569795663972286334889151/239806457219\ 079247024323*c_0101_5^21 + 154506864188865895590950104335311/479612\ 914438158494048646*c_0101_5^20 - 90186696959904361508501453123116/7\ 19419371657237741072969*c_0101_5^19 - 85143412813556141341328665645418/239806457219079247024323*c_0101_5^\ 18 - 22877235496936833939806742871804/719419371657237741072969*c_01\ 01_5^17 + 191228261624638300611616830713317/71941937165723774107296\ 9*c_0101_5^16 + 9340182327430685412420833442352/7993548573969308234\ 1441*c_0101_5^15 - 190582941567191713039525913296579/14388387433144\ 75482145938*c_0101_5^14 - 26442319577286680330264881020571/23980645\ 7219079247024323*c_0101_5^13 + 8724580833656180086104012625138/2398\ 06457219079247024323*c_0101_5^12 + 44741262038699472225404788398740/719419371657237741072969*c_0101_5^\ 11 + 2542305288397459332737578022821/1438838743314475482145938*c_01\ 01_5^10 - 32315456634852406106364572593183/143883874331447548214593\ 8*c_0101_5^9 - 1493608453455995723335731740365/23980645721907924702\ 4323*c_0101_5^8 + 6839110848625364458128697906735/14388387433144754\ 82145938*c_0101_5^7 + 3756870977347465559348237398423/1438838743314\ 475482145938*c_0101_5^6 - 504360981227049050119427867327/1438838743\ 314475482145938*c_0101_5^5 - 730306474702500709674777238415/1438838\ 743314475482145938*c_0101_5^4 - 10454596235265305475545010109/15987\ 0971479386164682882*c_0101_5^3 + 25922343222935355473757565769/7194\ 19371657237741072969*c_0101_5^2 + 17318850745645625033008688899/143\ 8838743314475482145938*c_0101_5 + 1438676099274946531772539429/1438\ 838743314475482145938, c_0011_0 - 1, c_0011_2 - 3349813920659670474349891525/79935485739693082341441*c_0101_\ 5^35 - 12305153813702473147680796940/79935485739693082341441*c_0101\ _5^34 + 42158387072006577553984231454/79935485739693082341441*c_010\ 1_5^33 + 169726123092828230220710710450/79935485739693082341441*c_0\ 101_5^32 - 61511089362012841917394973705/26645161913231027447147*c_\ 0101_5^31 - 999276135479933029404317043146/79935485739693082341441*\ c_0101_5^30 + 44252595375822359341002249815/26645161913231027447147\ *c_0101_5^29 + 3454692965959715675811268044184/79935485739693082341\ 441*c_0101_5^28 + 1644621796404283616716712329213/79935485739693082\ 341441*c_0101_5^27 - 7635130387688414653565291544143/79935485739693\ 082341441*c_0101_5^26 - 7539312109866045189356138451943/79935485739\ 693082341441*c_0101_5^25 + 10620006126773836802124139530295/7993548\ 5739693082341441*c_0101_5^24 + 17865436980147926263602047556139/799\ 35485739693082341441*c_0101_5^23 - 7652431212451674004732119176059/79935485739693082341441*c_0101_5^22 - 27819261619462526531091240859375/79935485739693082341441*c_0101_5\ ^21 - 2447028637308914906250943667336/79935485739693082341441*c_010\ 1_5^20 + 30192826640308209506960142300973/79935485739693082341441*c\ _0101_5^19 + 14194104778098651848300555782865/799354857396930823414\ 41*c_0101_5^18 - 7591901973696409156550430390614/266451619132310274\ 47147*c_0101_5^17 - 20000351173126556007118916931797/79935485739693\ 082341441*c_0101_5^16 + 3639591980444496730581459017132/26645161913\ 231027447147*c_0101_5^15 + 17467187696002258135326111018541/7993548\ 5739693082341441*c_0101_5^14 - 1829160291316673841747298413830/7993\ 5485739693082341441*c_0101_5^13 - 3521247107612856866142990939646/2\ 6645161913231027447147*c_0101_5^12 - 1753463448327481558235444623201/79935485739693082341441*c_0101_5^11 + 1487746841948062056412051925308/26645161913231027447147*c_0101_5^\ 10 + 569963245896615705802262717369/26645161913231027447147*c_0101_\ 5^9 - 1248470121482272880201456179027/79935485739693082341441*c_010\ 1_5^8 - 777893710955674193928864508535/79935485739693082341441*c_01\ 01_5^7 + 191761395917806942514553739624/79935485739693082341441*c_0\ 101_5^6 + 209292433553921709022802783300/79935485739693082341441*c_\ 0101_5^5 - 617410919377423172258271051/26645161913231027447147*c_01\ 01_5^4 - 31816678237581584745201170402/79935485739693082341441*c_01\ 01_5^3 - 4326023760549248641252172183/79935485739693082341441*c_010\ 1_5^2 + 701727625194484351331319410/26645161913231027447147*c_0101_\ 5 + 490913137295355849381198580/79935485739693082341441, c_0011_4 + 25*c_0101_5^35 + 140*c_0101_5^34 - 54*c_0101_5^33 - 1396*c_0101_5^32 - 1153*c_0101_5^31 + 5681*c_0101_5^30 + 9027*c_0101_5^29 - 11457*c_0101_5^28 - 32364*c_0101_5^27 + 6616*c_0101_5^26 + 70516*c_0101_5^25 + 27099*c_0101_5^24 - 100546*c_0101_5^23 - 90085*c_0101_5^22 + 90720*c_0101_5^21 + 149424*c_0101_5^20 - 35851*c_0101_5^19 - 164032*c_0101_5^18 - 30190*c_0101_5^17 + 126078*c_0101_5^16 + 66466*c_0101_5^15 - 66365*c_0101_5^14 - 62468*c_0101_5^13 + 20403*c_0101_5^12 + 37991*c_0101_5^11 - 32*c_0101_5^10 - 15876*c_0101_5^9 - 3488*c_0101_5^8 + 4442*c_0101_5^7 + 1858*c_0101_5^6 - 737*c_0101_5^5 - 512*c_0101_5^4 + 41*c_0101_5^3 + 77*c_0101_5^2 + 6*c_0101_5 - 5, c_0011_6 + 1211571286951108225780303550/79935485739693082341441*c_0101_\ 5^35 + 18879773831319914683316438735/159870971479386164682882*c_010\ 1_5^34 + 25850124726862710020592213049/159870971479386164682882*c_0\ 101_5^33 - 68350541137743660036051363350/79935485739693082341441*c_\ 0101_5^32 - 132085224034522062995065600327/53290323826462054894294*\ c_0101_5^31 + 115198219366215237624131996299/7993548573969308234144\ 1*c_0101_5^30 + 313927178054288942886899159196/26645161913231027447\ 147*c_0101_5^29 + 954953464820559946871362552637/159870971479386164\ 682882*c_0101_5^28 - 2303561348896323584720069471711/79935485739693\ 082341441*c_0101_5^27 - 5844599890692717948762479895229/15987097147\ 9386164682882*c_0101_5^26 + 5826992301283174218575055691741/1598709\ 71479386164682882*c_0101_5^25 + 7414303319031171871976163210067/799\ 35485739693082341441*c_0101_5^24 - 390194641748043538421752967789/79935485739693082341441*c_0101_5^23 - 11395043040690030967105844258056/79935485739693082341441*c_0101_5^2\ 2 - 11257802717930868967525799076689/159870971479386164682882*c_010\ 1_5^21 + 22288450706326692728542698949193/159870971479386164682882*\ c_0101_5^20 + 11645379401410001264725599736264/79935485739693082341\ 441*c_0101_5^19 - 6011354278414088811630287698900/79935485739693082\ 341441*c_0101_5^18 - 4449040938958365560105106888544/26645161913231\ 027447147*c_0101_5^17 - 375907140009141188044337248946/799354857396\ 93082341441*c_0101_5^16 + 3366026132502754293852836973580/266451619\ 13231027447147*c_0101_5^15 + 3931016156973422422255206586108/799354\ 85739693082341441*c_0101_5^14 - 10121386656407632271393889354679/15\ 9870971479386164682882*c_0101_5^13 - 2585034071065245396199493278237/53290323826462054894294*c_0101_5^12 + 2890597348643474930123601585031/159870971479386164682882*c_0101_5\ ^11 + 1464280037580805077211862747667/53290323826462054894294*c_010\ 1_5^10 - 3390323283734172778020866069/26645161913231027447147*c_010\ 1_5^9 - 1587734223086049066817041143021/159870971479386164682882*c_\ 0101_5^8 - 367015166483028161287971224329/159870971479386164682882*\ c_0101_5^7 + 173366544332984365286078084356/79935485739693082341441\ *c_0101_5^6 + 156760866639615976050186829099/1598709714793861646828\ 82*c_0101_5^5 - 5736374308636917721537681273/2664516191323102744714\ 7*c_0101_5^4 - 30395576761897485664578245719/1598709714793861646828\ 82*c_0101_5^3 - 661539191322899846129241854/79935485739693082341441\ *c_0101_5^2 + 397496198829334027458450952/26645161913231027447147*c\ _0101_5 + 443208088315582087469414081/159870971479386164682882, c_0101_0 + 836507521492819809772735825/159870971479386164682882*c_0101_\ 5^35 - 1531110806148279496487858915/79935485739693082341441*c_0101_\ 5^34 - 45021627073116827719202896427/159870971479386164682882*c_010\ 1_5^33 - 32825523932728252405748313601/159870971479386164682882*c_0\ 101_5^32 + 124166209166249257268304277595/53290323826462054894294*c\ _0101_5^31 + 272270563700300741792343165670/79935485739693082341441\ *c_0101_5^30 - 421835942505930976830432236895/532903238264620548942\ 94*c_0101_5^29 - 2967138456394901130385489335667/159870971479386164\ 682882*c_0101_5^28 + 1766556473288332413744226205651/15987097147938\ 6164682882*c_0101_5^27 + 4452411110515651318830367607866/7993548573\ 9693082341441*c_0101_5^26 + 1461004120892193124150188008749/1598709\ 71479386164682882*c_0101_5^25 - 8328517070713695426147777272954/799\ 35485739693082341441*c_0101_5^24 - 5831556283947398910246360164984/79935485739693082341441*c_0101_5^23 + 19786322476746748405401735684625/159870971479386164682882*c_0101_\ 5^22 + 13058624195700464683909421764184/79935485739693082341441*c_0\ 101_5^21 - 12717851581821603593362845981151/15987097147938616468288\ 2*c_0101_5^20 - 17764535076053299566102762026627/799354857396930823\ 41441*c_0101_5^19 - 890882358624111506522287611385/7993548573969308\ 2341441*c_0101_5^18 + 5469988459023771006743249669619/2664516191323\ 1027447147*c_0101_5^17 + 6996899287776469513575743607985/7993548573\ 9693082341441*c_0101_5^16 - 3444189152622230282693957471784/2664516\ 1913231027447147*c_0101_5^15 - 16974752292598579008036583943245/159\ 870971479386164682882*c_0101_5^14 + 3978654597332928682251497603992/79935485739693082341441*c_0101_5^13 + 2048761929062182027239381839660/26645161913231027447147*c_0101_5^\ 12 - 378554190842607892041942688951/79935485739693082341441*c_0101_\ 5^11 - 1989443533010777652275477796679/53290323826462054894294*c_01\ 01_5^10 - 379992097340503537884381985245/53290323826462054894294*c_\ 0101_5^9 + 962144974622645037460176471974/79935485739693082341441*c\ _0101_5^8 + 778268236746364613327813310653/159870971479386164682882\ *c_0101_5^7 - 368873172874994033787820212457/1598709714793861646828\ 82*c_0101_5^6 - 251560796277077708011021670903/15987097147938616468\ 2882*c_0101_5^5 + 8397449521958593161380097279/53290323826462054894\ 294*c_0101_5^4 + 43390475323504307011748121947/15987097147938616468\ 2882*c_0101_5^3 + 1991422584945085581689518282/79935485739693082341\ 441*c_0101_5^2 - 1064385021886873022070600393/532903238264620548942\ 94*c_0101_5 - 674081517769102660219077367/159870971479386164682882, c_0101_1 - 1820260082485050004115635825/159870971479386164682882*c_0101\ _5^35 - 7979743239025672500544400810/79935485739693082341441*c_0101\ _5^34 - 29434018537417389069370077193/159870971479386164682882*c_01\ 01_5^33 + 105295351962439269999997724243/159870971479386164682882*c\ _0101_5^32 + 130698415031506400317134687825/53290323826462054894294\ *c_0101_5^31 - 43169352015887109731573825266/7993548573969308234144\ 1*c_0101_5^30 - 1769346013470861771621163980721/1598709714793861646\ 82882*c_0101_5^29 - 443390887502643047249133788555/5329032382646205\ 4894294*c_0101_5^28 + 4078657002845703484947008489333/1598709714793\ 86164682882*c_0101_5^27 + 3208142535812467867281158574449/799354857\ 39693082341441*c_0101_5^26 - 4466203275584941339355544821393/159870\ 971479386164682882*c_0101_5^25 - 7584230154449612869892219597152/79\ 935485739693082341441*c_0101_5^24 - 257876447837089445996421923923/26645161913231027447147*c_0101_5^23 + 7406236824554540157868420651451/53290323826462054894294*c_0101_5^22 + 7018062832755298720998233297282/79935485739693082341441*c_0101_5^\ 21 - 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