01342_01423_01432_02341_02431_10342_10423_10432_20413
Counting sequence:
1, 1, 2, 6, 24, 111, 548, 2807, 14761, 79232, 432366, 2391522, 13378062, 75554024, 430207699, 2467079421, 14236023346, 82599698327, 481602249973, 2820306961288, 16581081610569, 97830810120332, 579087945439528, 3437933586792191, 20465753270888852, 122135318754932187, 730558343133142083, 4379198940379141215, 26302348416625550662, 158268769395500456961, 953989186867668032869, 5759582953521638768410, 34825256401305424314451, 210869423609420023079757, 1278535244983793473587492, 7761729517826473707395109, 47175951229532608643875487, 287059089109834638253922733, 1748576859730272938460819848, 10661964330049896205245153403, 65073903845661204380210668501, 397533105800196473989858371243, 2430623344258395555548642632872, 14873815303835219228488664589852, 91090081714298968582200182767602, 558275421437231818282360101058565, 3424051992550686261475326116946555, 21015186442303275967695491682400375, 129066835343447736247536005832680519, 793181951360002765060939149918007953, 4877493160093947679657087227024394099, 30010676463487122746104667007469186396, 184756768557342793506577821918744928455, 1138049440479075352999187801985787432756, 7013735058600475010562313102269656970813, 43247078165478321817538605066789245863518, 266793687119387754301868577784122222852899, 1646638544048579247989539076196906505344644, 10167587659220687862455626430175950276284453, 62809859433056899657879330757808247368077108, 388169695035755939443831601614683566853267712, 2399900922461798889558700096121137321577524155, 14843528285546837440732860827804265484322917808, 91843337816001228384072655638331584215185243305, 568485836042911132858244914160750500932872050351, 3520044448508630038266891429617138591966005792826, 21803610450600087163364802094176060185580191188191, 135100177614395261473821533996241627544020780720427, 837387233870311485600290196531706415150106672221630, 5192010001585018382060637273044016928774300580740947, 32201752704846213150285931664794689436370704073110721, 199781150522192844472384815098705606449243153137979232, 1239814983095556317404320690032590441207217488403654222, 7696320303210121899893300902374286017518586546020717780, 47789217835569275813279187804383591204746756905232328831, 296820596399384931296237571144727163900970391226468066243, 1844048672638369852806329028157130819156885836631098794727, 11459403072187185800343163942439073618771454164340048536833, 71229521718296992994899434828851123668929499641592611328257, 442857224490336871654277881475204244150049748298616140862273, 2754041443777266120090447469011696801349028725713131769675658, 17130802076078925421631376678432699179450359504527498848531112, 106581778187271135483836910276717687528492768919658374993496834, 663260146180504450799248809013025382497741069623538521509822985, 4128366468289836329110884791746562823896047684182093842092365434, 25701814421526503777343662559685720047850396317552250916109210487, 160043634875128557609219655733813855002094007089919756272180137521, 996781716725554202129877805060807809501075684477005689157756335555, 6209359102666666319259532675748082141815651560574103085346745658510, 38688031777188053344784526998256465679235137469226777275382378785697, 241094772052200348097193858665473336581714740933883415237221957293472, 1502721369249027001666640070605295129037735373321849797591488301571914, 9368000713541428325041689051101695739021881456921514931381465791092763, 58410574708030735732669860060172342065047123687592827486691602018142325, 364259205328304537435432974284438024684882096161121602487901941994217986, 2271969603077175407633288146693244517789100468860213218834966183312055939, 14173134314309242042259846114626632801746733586740057859517932235420449196, 88429918029957105012086530873628165214721783404451627418740149059088757390, 551824589094432509492180159347721582199464891433604987185950214145047624046, 3444054359008494881074771688379450609250603161617302431277483565430705935156, 21498330098290079610038974948229798600561725438730667251290480469919122446604
Implicit equation for the generating function in Maple syntax:
(x-1)*(12*x^6-34*x^5+22*x^4+11*x^3-14*x^2+2)*x*F(x)^5-x*(x-1)*(14*x^6-68*x^5+85*x^4-22*x^3-22*x^2+8*x+1)*F(x)^4+(x-1)*(6*x^7-47*x^6+94*x^5-70*x^4+8*x^3+8*x^2-3*x-1)*F(x)^3+(-x^8+16*x^7-61*x^6+101*x^5-77*x^4+21*x^3+8*x^2-5*x-1)*F(x)^2+(-2*x^7+13*x^6-31*x^5+30*x^4-10*x^3-8*x^2+7*x-1)*F(x)-x^6+4*x^5-5*x^4+2*x^3+3*x^2-3*x+1 = 0
Implicit equation for the generating function in latex syntax:
\left(x -1\right) \left(12 x^{6}-34 x^{5}+22 x^{4}+11 x^{3}-14 x^{2}+2\right) x F \! \left(x \right)^{5}-x \left(x -1\right) \left(14 x^{6}-68 x^{5}+85 x^{4}-22 x^{3}-22 x^{2}+8 x +1\right) F \! \left(x \right)^{4}+\left(x -1\right) \left(6 x^{7}-47 x^{6}+94 x^{5}-70 x^{4}+8 x^{3}+8 x^{2}-3 x -1\right) F \! \left(x \right)^{3}+\left(-x^{8}+16 x^{7}-61 x^{6}+101 x^{5}-77 x^{4}+21 x^{3}+8 x^{2}-5 x -1\right) F \! \left(x \right)^{2}+\left(-2 x^{7}+13 x^{6}-31 x^{5}+30 x^{4}-10 x^{3}-8 x^{2}+7 x -1\right) F \! \left(x \right)-x^{6}+4 x^{5}-5 x^{4}+2 x^{3}+3 x^{2}-3 x +1 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 548
a(7) = 2807
a(8) = 14761
a(9) = 79232
a(10) = 432366
a(11) = 2391522
a(12) = 13378062
a(13) = 75554024
a(14) = 430207699
a(15) = 2467079421
a(16) = 14236023346
a(17) = 82599698327
a(18) = 481602249973
a(19) = 2820306961288
a(20) = 16581081610569
a(21) = 97830810120332
a(22) = 579087945439528
a(23) = 3437933586792191
a(24) = 20465753270888852
a(25) = 122135318754932187
a(26) = 730558343133142083
a(27) = 4379198940379141215
a(28) = 26302348416625550662
a(29) = 158268769395500456961
a(30) = 953989186867668032869
a(31) = 5759582953521638768410
a(32) = 34825256401305424314451
a(33) = 210869423609420023079757
a(34) = 1278535244983793473587492
a(35) = 7761729517826473707395109
a(36) = 47175951229532608643875487
a(37) = 287059089109834638253922733
a(38) = 1748576859730272938460819848
a(39) = 10661964330049896205245153403
a(40) = 65073903845661204380210668501
a(41) = 397533105800196473989858371243
a(42) = 2430623344258395555548642632872
a(43) = 14873815303835219228488664589852
a(44) = 91090081714298968582200182767602
a(45) = 558275421437231818282360101058565
a(46) = 3424051992550686261475326116946555
a(47) = 21015186442303275967695491682400375
a(48) = 129066835343447736247536005832680519
a(49) = 793181951360002765060939149918007953
a(50) = 4877493160093947679657087227024394099
a(51) = 30010676463487122746104667007469186396
a(52) = 184756768557342793506577821918744928455
a(53) = 1138049440479075352999187801985787432756
a(54) = 7013735058600475010562313102269656970813
a(55) = 43247078165478321817538605066789245863518
a(56) = 266793687119387754301868577784122222852899
a(57) = 1646638544048579247989539076196906505344644
a(58) = 10167587659220687862455626430175950276284453
a(59) = 62809859433056899657879330757808247368077108
a(60) = 388169695035755939443831601614683566853267712
a(61) = 2399900922461798889558700096121137321577524155
a(62) = 14843528285546837440732860827804265484322917808
a(63) = 91843337816001228384072655638331584215185243305
a(64) = 568485836042911132858244914160750500932872050351
a(65) = 3520044448508630038266891429617138591966005792826
a(66) = 21803610450600087163364802094176060185580191188191
a(67) = 135100177614395261473821533996241627544020780720427
a(68) = 837387233870311485600290196531706415150106672221630
a(69) = 5192010001585018382060637273044016928774300580740947
a(70) = 32201752704846213150285931664794689436370704073110721
a(71) = 199781150522192844472384815098705606449243153137979232
a(72) = 1239814983095556317404320690032590441207217488403654222
a(73) = 7696320303210121899893300902374286017518586546020717780
a(74) = 47789217835569275813279187804383591204746756905232328831
a(75) = 296820596399384931296237571144727163900970391226468066243
a(76) = 1844048672638369852806329028157130819156885836631098794727
a(77) = 11459403072187185800343163942439073618771454164340048536833
a(78) = 71229521718296992994899434828851123668929499641592611328257
a(79) = 442857224490336871654277881475204244150049748298616140862273
a(80) = 2754041443777266120090447469011696801349028725713131769675658
a(81) = 17130802076078925421631376678432699179450359504527498848531112
a(82) = 106581778187271135483836910276717687528492768919658374993496834
a(83) = 663260146180504450799248809013025382497741069623538521509822985
a(84) = 4128366468289836329110884791746562823896047684182093842092365434
a(85) = 25701814421526503777343662559685720047850396317552250916109210487
a(86) = 160043634875128557609219655733813855002094007089919756272180137521
a(87) = 996781716725554202129877805060807809501075684477005689157756335555
a(88) = 6209359102666666319259532675748082141815651560574103085346745658510
a(89) = 38688031777188053344784526998256465679235137469226777275382378785697
a(90) = 241094772052200348097193858665473336581714740933883415237221957293472
a(91) = 1502721369249027001666640070605295129037735373321849797591488301571914
a(92) = 9368000713541428325041689051101695739021881456921514931381465791092763
a(93) = 58410574708030735732669860060172342065047123687592827486691602018142325
a(94) = 364259205328304537435432974284438024684882096161121602487901941994217986
a(95) = 2271969603077175407633288146693244517789100468860213218834966183312055939
a(96) = 14173134314309242042259846114626632801746733586740057859517932235420449196
a(97) = 88429918029957105012086530873628165214721783404451627418740149059088757390
a(98) = 551824589094432509492180159347721582199464891433604987185950214145047624046
a(99) = 3444054359008494881074771688379450609250603161617302431277483565430705935156
a(100) = 21498330098290079610038974948229798600561725438730667251290480469919122446604
a(101) = 134215889760596261106607017888161589670495926668724425274290718403850338666242
a(102) = 838043104142113656972988862960951863401782372797798758447013655626113217222242
a(103) = 5233482374077604661126064223533725227041297004938724531805461499511674867957537
a(104) = 32687068263191708155211227015040328599013142055963675077614329174963730455187130
a(105) = 204183578779892385889054248356981502016548438598760674054867268797725938863353359
a(106) = 1275628358286499614896241777397614938252832177547604187501534796048367564354824268
a(107) = 7970488474434648741385537665332338541752304597509799149136631318231425014891092656
a(108) = 49808339841944211483706912187075949142043235650348844959507500417541007705497879018
a(109) = 311296699980332188304569638699771071508240043364694406383113010756277235357433184782
a(110) = 1945813818298337029304769061961957675172377787603527876918981899034074301656854708795
a(111) = 12164139367653030754018135266440124660423066411008970610227389352475780400190533769676
a(112) = 76052566896912799293010315914224800321115520142019934247464525026140142231412011478050
a(113) = 475551794216469034920412563650006377088568300267028875628370632927424153939026931841728
a(114) = 2973940861457520983170780284347256492911655711452151296162397960921251555556195565686110
a(115) = 18600152639154074174538667298663563822422900491841281116016661903833268188140208542870217
a(116) = 116345478098290349898003506726091427351111547360703926302744423709691434645897838020819603
a(117) = 727830908834714305142168645481517671990571573758572926356918161192628260511284331553199232
a(118) = 4553639585144656667529479032780988282404860607621590273786431057016327722660159966179084050
a(119) = 28492672921487477806518948064500601045886087928332339161466614404001023275922859186279972946
a(120) = 178300819256692804620306167729736668295101637914304951219465609523930836394772521836213433428
a(121) = 1115882169318568779458874152099509358218024673571097019753626377505141534535452362581183219263
a(122) = 6984373495480995159700539359113307105595108946400843971240366962387360338889386063109957615919
a(123) = 43719981958776353404974408621858449890696594486320447760230321945700641931666747118509176534289
a(124) = 273700249647669439830131562411071580175888102540577110313345853708395896068624066953235211912698
a(125) = 1713611748059156575753768880190509646738656962720778810137186213781012134489640414025153174307764
a(126) = 10729784987728179076405153738979182497399642798770609766847070964819464556531705837079145926142592
a(127) = 67190876680270907940277442650937669914964974153110487178113623273956333214049602355040792355575527
a(128) = 420794117580719694786347581732337325209135321415859966490936307381775598641352963963325646284037272
a(129) = 2635532981844153398400383140079007878143943687113781672688530323346122281512113994094042533532634982
a(130) = 16508441960363432338505713920912136429222841490890568725127708742346840501877765152655929175254776316
a(131) = 103414625215677684709852211326355978982095795621094589680181060829581101118352246325518472599801855814
a(132) = 647881384543794945981106417428085793538232044111955513176022940129065460754730706659562279474293227588
a(133) = 4059253171381054070812790798291552265973645273373416980288653972484338698745521733949146618377359366822
a(134) = 25435092410556166826833312171235777367259624533037821592094152584382047183193488304623336513292125228346
a(135) = 159388323965895291469892030239374131764557700955810902865521263383794364063103206378185298090302918632798
a(136) = 998884240646520637555036752249681805933800356113444252447632256232767255976336415299784982131461215334496
a(137) = 6260496462181551119997754991783404737558481922629883235721837503260088580971362436447768871961295009469060
a(138) = 39240708196147897032608085798333829042540870725601012217711992022997478477949872778563985775374459279429636
a(139) = 245979464918828460409473582859928744432684709083495799209185425308264205779926326041049524503499925521781635
a(140) = 1542035374901649531339385575156949245633752734398416436138171305245285646367699130007677961220949351422843707
a(141) = 9667692198717785335994467509844326131019831894306610731573753640578621672637332756539373906747346415203826764
a(142) = 60615518180773500961368440717985817908714720093099977668199959601246722869991238009609676550358186993566244960
a(143) = 380081650877120659055347660322387908406483603248749244040734606163572796001561170405023037623405645928826976042
a(144) = 2383425679813567347628103933930271843054026537579419319409131684886883391227889473088135221927465342455132132612
a(145) = 14947119871234520385768894776870698989417369522023667025401753513922579188453371319855508614746017779984280095529
a(146) = 93744152258957226200420760682261068205909148501883440744810485485144620789132811890027753618795967195987404649269
a(147) = 587978169081721658669383520636663250182984903222371907833976116735607311110119257196212414136971284159980126722403
a(148) = 3688146416777514936502511983287958784789503398574726266165849625504049125715651400859107418352778877980735622952761
a(149) = 23135806392836449629739457913993553204082204124806004737682031771320815119384305902370336356937399969477261169497573
a(150) = 145141053163886442560996812331077873645664434567146670353537628219772692680155641637698694810725966778879588332494764
a(151) = 910593727000739149239040389627995036319666624067469854425322613399342175878770089315628937564112284366672624479673249
a(152) = 5713305081644002862012180484469467017609781881409938664570235100162756063087600108277278525278844355279279718968232993
a(153) = 35849093856994207969166844066197620649291497061065903198201751064454190075142784511927433066122107646713277164629578601
a(154) = 224955487902838334544404687726656667181223858821517731410513619877974663678979074888782481605556775075611443694793888917
a(155) = 1411699588488803021642362818361272573664984895601458847637498019895248870888046219864962291296354449558773059294101091681
a(156) = 8859616429411482151226850379517831213612669515850712502055459537053661676900467231456295563053546828159888125259331286932
a(157) = 55605038337960374875850942703505112462194163316710113306009587586938464418702884935032924855787368273192547549580547617162
a(158) = 349011410235013535467711090531294631987133402813745832985072331945023646781893943377340418624900788775370306163536653038025
a(159) = 2190740982879051437487651217673298900770327380398886149459959180242442406961270855724827589362604623003612294545551737038270
a(160) = 13752068981302825530426393911994686303525517067140641741356034003906510101858205911172006530798300699456414453108479916558517
a(161) = 86331708481112906230703797934882446916627130991910965886026713385401548945301611529375610413226479368659640708973101587542152
a(162) = 541997896430982530294181807023840556552996481096393198779678901921610767027022710505011681877864279952061564772901479928561410
a(n+163) = -1/6021120*(4043888054391868490708150854726145800823*n^4+1522040649989010697536228581934030312433734*n^3+215046755161234801446764351631261972002900905*n^2+13518556066223614402641881926408782342447165462*n+319048413547207996239694607672305488372988381908)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+95)+1/12042240*(25743651188972166796983470388033275972235*n^4+9963087834088629518671718832092298827513458*n^3+1446286879621495602337502117205146605177623825*n^2+93333690872355647881630869241593885668667381962*n+2259228829506405155485900842556345058251228457544)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+96)-1/6021120*(11643489428265811685005665255312580264803*n^4+4576152634902118920520907977851397715174210*n^3+674442446243982683361594063303698089978466835*n^2+44177720923608440806816159067035738029016763248*n+1085151093495330933107576327751668835595535377764)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+97)+1/12042240*(7729178613486318546525769822160195330383*n^4+3111942711811835345241964571173607590931966*n^3+469503221733358735317104987519554397661226553*n^2+31459809400484694679796488560491173520923145146*n+789972940409978719265087606873320957140492901632)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+98)+1/12042240*(7544147875285576247763451993131004147743*n^4+2974557645493754012251097302306522110755558*n^3+439936184135546150632232594767783705724432985*n^2+28927034042506738846302588694748691086637754210*n+713484456758622145704598702074787905165763992816)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+99)-1/3010560*(3387232278281895496725083792370360059278*n^4+1365672642442257515895758737603753404688925*n^3+206500261298061603278252352640618940800822784*n^2+13878860522008622534565198463357700093540121409*n+349832870642480854205930662879412805348314340804)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+100)-1/6021120*(10178105051572833897235007547209*n^4+5423945988009697390834754885018844*n^3+1083780990823739793350319779182116067*n^2+96234501509099649179729423872633394784*n+3204026461681998416694543499851263315892)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+133)+1/3010560*(957550173259381669191545767585*n^4+524096686428206524141029203891996*n^3+107499101647198795461804545410979768*n^2+9793553015672400376007159183989215511*n+334382035126098673309993007147330495532)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+134)+1/6021120*(99582349361283380924994437777*n^4+43062557895873600109756762381330*n^3+6566697756417131523303661260617395*n^2+398612175972757191368381772754542158*n+7008267866751598827004594220452204680)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+135)-1/3010560*(127533899128678214620981874150*n^4+67593403018891827562652697967351*n^3+13427026192765020605850354789342511*n^2+1184752528983287809875012438523114346*n+39178693281766545430658544136969441446)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+136)+1/6021120*(120637867919574490930976610153*n^4+65228978122904426555862937261768*n^3+13224583103207195995533771601521723*n^2+1191497771060032436782756818014148992*n+40251973923654100652339645407696185192)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+137)-1/6021120*(36194444905286514200333150479*n^4+19834447725065691308268767538866*n^3+4075913918129128525413249855698831*n^2+372256891502738643833614110023126848*n+12749321213342790847598491761291367956)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+138)-1/6021120*(8314488783240467217091909956404923*n^4+4140621254807423078870803770171560326*n^3+772667361285168835620746342818734883991*n^2+64031520824295311703143675941956624902084*n+1988258570211632977127001785875072402652832)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+126)+1/12042240*(7322731352087514579364847458605417*n^4+3736276872587789311827846354011707306*n^3+714461925137614620076425659220206632995*n^2+60685449569142180333090655095583611536546*n+1931852176290029577467635264360060743424944)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+127)-1/12042240*(2251289438795139665960995174515565*n^4+1179765498602275188074713726582137070*n^3+231578734810699049720968063961863379615*n^2+20181628509585108769575698473571308131494*n+658884048550621772229594705213912261462336)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+128)+1/3010560*(80749399269558572509860379471625*n^4+45547758135890257346256330290603453*n^3+9554871940122729168634454855119956907*n^2+884663596620407885551057519509037093153*n+30534489419493117191835271216046499258294)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+129)+1/3010560*(34733652720443546108957210657710*n^4+16522813740295398423099389806713745*n^3+2923789209391291373083144790895719180*n^2+227713360632920003574891409209454020467*n+6571044048278767533674810203582027960938)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+130)-1/3010560*(33972598802779995322593211918045*n^4+17355910117729303627598036743424613*n^3+3322968638069193312389197229171097812*n^2+282575885928420351612585720925191310200*n+9004714375621460614033660553680780518006)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+131)+1/6021120*(32085662088161188427789792479357*n^4+16782579232101123340271958977468656*n^3+3291326705134885032937205543744669063*n^2+28683431203838522806383584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*a(n+28)+1/94080*(27478364655736657609672218*n^4+7400059433112177256559763703*n^3+521274498381327589424465348544*n^2+14262054565057516724119070788367*n+136258557991481585175177738811668)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+29)-1/94080*(2458754144294125254599568170*n^4+341015381645351619676269576255*n^3+17547407471619633386641693912819*n^2+397739752669198096697118313392498*n+3355352316392974901384444846426340)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+30)+1/62720*(3289435048990456731027200445*n^4+462003049918589467001347902068*n^3+24144592206984938918582104032787*n^2+557054043336148592687152337510432*n+4791369712290858886546330042684972)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+31)+1/188160*(16784872581091387181446611451*n^4+2351684632312418358885975352877*n^3+123231467989700951077364790087914*n^2+2863160320455101332215574271060026*n+24892093306336572936353986205324340)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+32)-1/376320*(204682458629627104902525963693*n^4+29822955082229510881545107292173*n^3+1622787831918996540679174495329819*n^2+39100213047531107852805509413575331*n+352101487768203464083230477333739464)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+33)+1/752640*(382987491298430718496534214169*n^4+59979000689489344995977045375008*n^3+3483703107635383371481227277202313*n^2+89102835191950211578527808309790450*n+847945930802065681744569785647631928)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+34)-1/6021120*(12067985207320050738169858923310201369091*n^4+3789360684795406264718559458085685979392514*n^3+446206902942559440697117647813864463434800023*n^2+23352443817800690151584915520216468478735921492*n+458319289966805425524256124035447890233677849092)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+78)+1/6021120*(10291720398066651781956211745051152792447*n^4+3321752668571884589879888125962032805701342*n^3+401843109856672170659092719968684508932174219*n^2+21594800518461965081912252761346775694628989816*n+434976572566199574997966310468883468000263146584)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+79)-1/6021120*(15774946550624033825686328395638854985*n^4+3756899578788296720040890234383519818260*n^3+335484249539780236445186621829987107767761*n^2+13312566588950016417659382920911039332815638*n+198058880383267004562427432383740285680743432)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+58)+1/6021120*(39480799314273834121086024848542582553*n^4+9263433277604866867449804603492536647564*n^3+815119571316863630034623007202299198983725*n^2+31880453438285670859733111579522631646679894*n+467627558240883799870151234335537175300593992)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+59)-1/12042240*(37694958677601976449797105074715085971*n^4+8411713394129819415676875369728029801850*n^3+699399602065711608807139457519854734345865*n^2+25653054460115919627231912700419791244882466*n+349749953146302782685943024303015457256699840)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+60)-1/12042240*(118705432280617767777714331184891947135*n^4+29814109836280168550180670923841711389366*n^3+2807016772196670261709921692850888801909265*n^2+117412333367710239975021648848616049754575714*n+1840901577717207938512875850798068418799830680)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+61)-8/735*(1591718092556*n^4+177966352520823*n^3+6686382470570926*n^2+88586242316016747*n+379115451935455560)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+10)+4/245*(821340024949401*n^4+42190286135909868*n^3+808519526255617467*n^2+6853399365186815428*n+21686322068947266492)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+11)-2/735*(14880077106124791*n^4+796050009782420936*n^3+15823845620408285217*n^2+138735385405819162444*n+453220542058435474524)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+12)-2/735*(57688327702771877*n^4+3475376276260243653*n^3+78432921329431595077*n^2+785099308416555966201*n+2938828504772736197556)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+13)+2/735*(416936384529669222*n^4+25902410098281674374*n^3+602008621019465085519*n^2+6204815931300512148299*n+23932826981320962013272)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+14)-2/735*(180309237489707557*n^4+10336945101759700567*n^3+215224882554853145792*n^2+1911070078584673451138*n+6000079135862874348558)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+15)-1/735*(10586401444904759353*n^4+743405803482915320571*n^3+19553854383031623893090*n^2+228303494840971520496480*n+998264165848388781044178)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+16)+1/6021120*(2704853569864594908554210521557061618541*n^4+774914652778393514767619475602484339182742*n^3+83252934562619105569477963315272345715470433*n^2+3975248753583666455777357939835049810098588720*n+71180204334604600820646705458338469719601252964)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+71)-1/12042240*(4657750545064272491696687441372583845307*n^4+1366185131293990644588919689820861623407770*n^3+150240681123860848274705909826353094696979521*n^2+7341688719974336080948384851474450402568053146*n+134508022825445284901769343884259087761321998544)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+72)-1/2007040*(286084079217973210076681739121234376373*n^4+79836681639368159972474489468634551865992*n^3+8336317988548948151310100126688887251009947*n^2+385924475111406455394437479074270489614831312*n+6681788541230069812390513167738179204959439344)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+73)+1/12042240*(10071858755311938624139800601760106481321*n^4+2986723574391277282706886370786890782279254*n^3+332152477915957622716642625733912895136712023*n^2+16418106483751942902350898639562603912542259970*n+304344373358558459267324255636211727420384144056)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+74)+1/12042240*(46823808542643435439668731211253064322097*n^4+15990462789015101522838636782962525915461434*n^3+2048063904047218977666173409657623138277673247*n^2+116600954996713359332353322744558066040614477446*n+2489730017112966105240068617567518892378219264512)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+85)-1/12042240*(48152443294403047227555230824137793312829*n^4+16792135219240521960976568110168178284631366*n^3+2195362070196752432699181018648713117161512871*n^2+127528683955120844078116093365294352780890684310*n+2777328817597934336880211642782919339405816031832)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+86)+1/3010560*(3791667926202119056600018350620190703239*n^4+1372610184959450425446904057983177379821482*n^3+185889775660195208774035028138327757204526248*n^2+11163953969041326321000498935492009559530427637*n+250908355761859831905393574052325936227523352320)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+87)+1/3010560*(7317369123059289218429453153433644346013*n^4+2565710313192785624616835867612358097962656*n^3+337537014923870821389438452168513737941823514*n^2+19746610481979203625935839206219151095999515945*n+433455583287898405632901475701101743107606238340)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+88)+1/6021120*(691828720279723825472833875050018347913*n^4+151310079461603688475059945460886509695662*n^3+9844880080523782037807476826406498334369069*n^2+87147362199915095735176116460190317503600472*n-6901951976036625531197843826419617579244204268)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+80)-1/2007040*(4783131600497100148955112608730441519761*n^4+1546493773212884715056682890432985295086670*n^3+187539202856610759879010581592152516709339175*n^2+10109603128047191225971955411402899867111148418*n+204405183841022336869423239900342978115892321820)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+81)+1024/735*(n+2)*(334498*n^3+4059849*n^2+15469151*n+19103460)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+2)-1/6021120*(11538588033947821719248993014002758157009*n^4+3943767268050954558791651247042282445689698*n^3+504897154846439504670865577709750420489557709*n^2+28697198967883098843409455568319699940886747888*n+611023697101018754917046934029198770623407880360)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+83)-1/6021120*(7333790620150269881789002710978494503235*n^4+2397287719889484446925671633616751895695896*n^3+293884727013009961900205922105359731092914665*n^2+16014447469556933467989961870311514555949600736*n+327316561988679252996998024696149296696259340004)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+84)+1/12042240*(40232888925117609516322830600145696320713*n^4+13344403563259223530371085336099766799743254*n^3+1659562905572819760832503966580932323518290391*n^2+91717515177214533378047183804643186489583558586*n+1900595577919037821414362116334910270442668610040)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+82)+1/6021120*(119834622833919061379911057629392515499*n^4+29788150974405201419707853021904641789056*n^3+2777337850379141431170684802909678539932875*n^2+115112258303338413850040913841608987673298618*n+1789507804286324720265223468776697595705925684)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+62)-1/2007040*(12204505586727666962521373378044676203*n^4+2842255363904555067509449683712628222280*n^3+246501338018158201179544477930594744982127*n^2+9424361460345017646141742206486304698160318*n+133812079238341695742352086991288343414749720)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+63)-1/6021120*(203596812340155229513968316585061885373*n^4+53410493564426682824276094240095156484106*n^3+5252605893067204001649577315730120300399841*n^2+229505788437634088041702609523239255431887720*n+3759146689397073205581326326966805419624037172)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+64)+1/12042240*(735935716771103535082111203308805792591*n^4+193252658145314104842217886163604861400278*n^3+19032631181659805350181947213777393134402573*n^2+833181449105119851572993497033418480607468734*n+13679025140231475500209110056431417912192975584)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+65)-1/6021120*(117921902429381326952060359251315420453*n^4+30636343572219098888964899387392159297510*n^3+2985263020377385864687011139475093696136549*n^2+129311001210764036794322210045982750415924592*n+2101013326116213014668492800724765562202199140)/(n+163)/(n+162)/(n+161)/(2*n+327)*a(n+66)+1/28*(2853*n^2+921331*n+74379258)/(2*n+327)/(n+163)*a(n+162), n >= 163
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 548
a(7) = 2807
a(8) = 14761
a(9) = 79232
a(10) = 432366
a(11) = 2391522
a(12) = 13378062
a(13) = 75554024
a(14) = 430207699
a(15) = 2467079421
a(16) = 14236023346
a(17) = 82599698327
a(18) = 481602249973
a(19) = 2820306961288
a(20) = 16581081610569
a(21) = 97830810120332
a(22) = 579087945439528
a(23) = 3437933586792191
a(24) = 20465753270888852
a(25) = 122135318754932187
a(26) = 730558343133142083
a(27) = 4379198940379141215
a(28) = 26302348416625550662
a(29) = 158268769395500456961
a(30) = 953989186867668032869
a(31) = 5759582953521638768410
a(32) = 34825256401305424314451
a(33) = 210869423609420023079757
a(34) = 1278535244983793473587492
a(35) = 7761729517826473707395109
a(36) = 47175951229532608643875487
a(37) = 287059089109834638253922733
a(38) = 1748576859730272938460819848
a(39) = 10661964330049896205245153403
a(40) = 65073903845661204380210668501
a(41) = 397533105800196473989858371243
a(42) = 2430623344258395555548642632872
a(43) = 14873815303835219228488664589852
a(44) = 91090081714298968582200182767602
a(45) = 558275421437231818282360101058565
a(46) = 3424051992550686261475326116946555
a(47) = 21015186442303275967695491682400375
a(48) = 129066835343447736247536005832680519
a(49) = 793181951360002765060939149918007953
a(50) = 4877493160093947679657087227024394099
a(51) = 30010676463487122746104667007469186396
a(52) = 184756768557342793506577821918744928455
a(53) = 1138049440479075352999187801985787432756
a(54) = 7013735058600475010562313102269656970813
a(55) = 43247078165478321817538605066789245863518
a(56) = 266793687119387754301868577784122222852899
a(57) = 1646638544048579247989539076196906505344644
a(58) = 10167587659220687862455626430175950276284453
a(59) = 62809859433056899657879330757808247368077108
a(60) = 388169695035755939443831601614683566853267712
a(61) = 2399900922461798889558700096121137321577524155
a(62) = 14843528285546837440732860827804265484322917808
a(63) = 91843337816001228384072655638331584215185243305
a(64) = 568485836042911132858244914160750500932872050351
a(65) = 3520044448508630038266891429617138591966005792826
a(66) = 21803610450600087163364802094176060185580191188191
a(67) = 135100177614395261473821533996241627544020780720427
a(68) = 837387233870311485600290196531706415150106672221630
a(69) = 5192010001585018382060637273044016928774300580740947
a(70) = 32201752704846213150285931664794689436370704073110721
a(71) = 199781150522192844472384815098705606449243153137979232
a(72) = 1239814983095556317404320690032590441207217488403654222
a(73) = 7696320303210121899893300902374286017518586546020717780
a(74) = 47789217835569275813279187804383591204746756905232328831
a(75) = 296820596399384931296237571144727163900970391226468066243
a(76) = 1844048672638369852806329028157130819156885836631098794727
a(77) = 11459403072187185800343163942439073618771454164340048536833
a(78) = 71229521718296992994899434828851123668929499641592611328257
a(79) = 442857224490336871654277881475204244150049748298616140862273
a(80) = 2754041443777266120090447469011696801349028725713131769675658
a(81) = 17130802076078925421631376678432699179450359504527498848531112
a(82) = 106581778187271135483836910276717687528492768919658374993496834
a(83) = 663260146180504450799248809013025382497741069623538521509822985
a(84) = 4128366468289836329110884791746562823896047684182093842092365434
a(85) = 25701814421526503777343662559685720047850396317552250916109210487
a(86) = 160043634875128557609219655733813855002094007089919756272180137521
a(87) = 996781716725554202129877805060807809501075684477005689157756335555
a(88) = 6209359102666666319259532675748082141815651560574103085346745658510
a(89) = 38688031777188053344784526998256465679235137469226777275382378785697
a(90) = 241094772052200348097193858665473336581714740933883415237221957293472
a(91) = 1502721369249027001666640070605295129037735373321849797591488301571914
a(92) = 9368000713541428325041689051101695739021881456921514931381465791092763
a(93) = 58410574708030735732669860060172342065047123687592827486691602018142325
a(94) = 364259205328304537435432974284438024684882096161121602487901941994217986
a(95) = 2271969603077175407633288146693244517789100468860213218834966183312055939
a(96) = 14173134314309242042259846114626632801746733586740057859517932235420449196
a(97) = 88429918029957105012086530873628165214721783404451627418740149059088757390
a(98) = 551824589094432509492180159347721582199464891433604987185950214145047624046
a(99) = 3444054359008494881074771688379450609250603161617302431277483565430705935156
a(100) = 21498330098290079610038974948229798600561725438730667251290480469919122446604
a(101) = 134215889760596261106607017888161589670495926668724425274290718403850338666242
a(102) = 838043104142113656972988862960951863401782372797798758447013655626113217222242
a(103) = 5233482374077604661126064223533725227041297004938724531805461499511674867957537
a(104) = 32687068263191708155211227015040328599013142055963675077614329174963730455187130
a(105) = 204183578779892385889054248356981502016548438598760674054867268797725938863353359
a(106) = 1275628358286499614896241777397614938252832177547604187501534796048367564354824268
a(107) = 7970488474434648741385537665332338541752304597509799149136631318231425014891092656
a(108) = 49808339841944211483706912187075949142043235650348844959507500417541007705497879018
a(109) = 311296699980332188304569638699771071508240043364694406383113010756277235357433184782
a(110) = 1945813818298337029304769061961957675172377787603527876918981899034074301656854708795
a(111) = 12164139367653030754018135266440124660423066411008970610227389352475780400190533769676
a(112) = 76052566896912799293010315914224800321115520142019934247464525026140142231412011478050
a(113) = 475551794216469034920412563650006377088568300267028875628370632927424153939026931841728
a(114) = 2973940861457520983170780284347256492911655711452151296162397960921251555556195565686110
a(115) = 18600152639154074174538667298663563822422900491841281116016661903833268188140208542870217
a(116) = 116345478098290349898003506726091427351111547360703926302744423709691434645897838020819603
a(117) = 727830908834714305142168645481517671990571573758572926356918161192628260511284331553199232
a(118) = 4553639585144656667529479032780988282404860607621590273786431057016327722660159966179084050
a(119) = 28492672921487477806518948064500601045886087928332339161466614404001023275922859186279972946
a(120) = 178300819256692804620306167729736668295101637914304951219465609523930836394772521836213433428
a(121) = 1115882169318568779458874152099509358218024673571097019753626377505141534535452362581183219263
a(122) = 6984373495480995159700539359113307105595108946400843971240366962387360338889386063109957615919
a(123) = 43719981958776353404974408621858449890696594486320447760230321945700641931666747118509176534289
a(124) = 273700249647669439830131562411071580175888102540577110313345853708395896068624066953235211912698
a(125) = 1713611748059156575753768880190509646738656962720778810137186213781012134489640414025153174307764
a(126) = 10729784987728179076405153738979182497399642798770609766847070964819464556531705837079145926142592
a(127) = 67190876680270907940277442650937669914964974153110487178113623273956333214049602355040792355575527
a(128) = 420794117580719694786347581732337325209135321415859966490936307381775598641352963963325646284037272
a(129) = 2635532981844153398400383140079007878143943687113781672688530323346122281512113994094042533532634982
a(130) = 16508441960363432338505713920912136429222841490890568725127708742346840501877765152655929175254776316
a(131) = 103414625215677684709852211326355978982095795621094589680181060829581101118352246325518472599801855814
a(132) = 647881384543794945981106417428085793538232044111955513176022940129065460754730706659562279474293227588
a(133) = 4059253171381054070812790798291552265973645273373416980288653972484338698745521733949146618377359366822
a(134) = 25435092410556166826833312171235777367259624533037821592094152584382047183193488304623336513292125228346
a(135) = 159388323965895291469892030239374131764557700955810902865521263383794364063103206378185298090302918632798
a(136) = 998884240646520637555036752249681805933800356113444252447632256232767255976336415299784982131461215334496
a(137) = 6260496462181551119997754991783404737558481922629883235721837503260088580971362436447768871961295009469060
a(138) = 39240708196147897032608085798333829042540870725601012217711992022997478477949872778563985775374459279429636
a(139) = 245979464918828460409473582859928744432684709083495799209185425308264205779926326041049524503499925521781635
a(140) = 1542035374901649531339385575156949245633752734398416436138171305245285646367699130007677961220949351422843707
a(141) = 9667692198717785335994467509844326131019831894306610731573753640578621672637332756539373906747346415203826764
a(142) = 60615518180773500961368440717985817908714720093099977668199959601246722869991238009609676550358186993566244960
a(143) = 380081650877120659055347660322387908406483603248749244040734606163572796001561170405023037623405645928826976042
a(144) = 2383425679813567347628103933930271843054026537579419319409131684886883391227889473088135221927465342455132132612
a(145) = 14947119871234520385768894776870698989417369522023667025401753513922579188453371319855508614746017779984280095529
a(146) = 93744152258957226200420760682261068205909148501883440744810485485144620789132811890027753618795967195987404649269
a(147) = 587978169081721658669383520636663250182984903222371907833976116735607311110119257196212414136971284159980126722403
a(148) = 3688146416777514936502511983287958784789503398574726266165849625504049125715651400859107418352778877980735622952761
a(149) = 23135806392836449629739457913993553204082204124806004737682031771320815119384305902370336356937399969477261169497573
a(150) = 145141053163886442560996812331077873645664434567146670353537628219772692680155641637698694810725966778879588332494764
a(151) = 910593727000739149239040389627995036319666624067469854425322613399342175878770089315628937564112284366672624479673249
a(152) = 5713305081644002862012180484469467017609781881409938664570235100162756063087600108277278525278844355279279718968232993
a(153) = 35849093856994207969166844066197620649291497061065903198201751064454190075142784511927433066122107646713277164629578601
a(154) = 224955487902838334544404687726656667181223858821517731410513619877974663678979074888782481605556775075611443694793888917
a(155) = 1411699588488803021642362818361272573664984895601458847637498019895248870888046219864962291296354449558773059294101091681
a(156) = 8859616429411482151226850379517831213612669515850712502055459537053661676900467231456295563053546828159888125259331286932
a(157) = 55605038337960374875850942703505112462194163316710113306009587586938464418702884935032924855787368273192547549580547617162
a(158) = 349011410235013535467711090531294631987133402813745832985072331945023646781893943377340418624900788775370306163536653038025
a(159) = 2190740982879051437487651217673298900770327380398886149459959180242442406961270855724827589362604623003612294545551737038270
a(160) = 13752068981302825530426393911994686303525517067140641741356034003906510101858205911172006530798300699456414453108479916558517
a(161) = 86331708481112906230703797934882446916627130991910965886026713385401548945301611529375610413226479368659640708973101587542152
a(162) = 541997896430982530294181807023840556552996481096393198779678901921610767027022710505011681877864279952061564772901479928561410
a{\left(n + 163 \right)} = \frac{491520 n \left(n + 1\right) \left(n + 2\right) \left(2 n + 3\right) a{\left(n \right)}}{49 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{16384 \left(n + 1\right) \left(n + 2\right) \left(4421 n^{2} + 23699 n + 32460\right) a{\left(n + 1 \right)}}{245 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{1024 \left(n + 2\right) \left(334498 n^{3} + 4059849 n^{2} + 15469151 n + 19103460\right) a{\left(n + 2 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(2853 n^{2} + 921331 n + 74379258\right) a{\left(n + 162 \right)}}{28 \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(4553179 n^{3} + 2192957969 n^{2} + 352063611492 n + 18840275448360\right) a{\left(n + 161 \right)}}{1960 \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{512 \left(19063883 n^{4} + 269075895 n^{3} + 1444676548 n^{2} + 3484338264 n + 3171422988\right) a{\left(n + 3 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(117305785 n^{4} + 75074316312 n^{3} + 18017471492770 n^{2} + 1921821360535293 n + 76871027824481760\right) a{\left(n + 160 \right)}}{3920 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{256 \left(194879791 n^{4} + 3316401765 n^{3} + 21655599473 n^{2} + 64385652891 n + 73393460784\right) a{\left(n + 4 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{128 \left(264804436 n^{4} + 2088971145 n^{3} - 23684804680 n^{2} - 273758222625 n - 680779579332\right) a{\left(n + 5 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{64 \left(2056976758 n^{4} - 141462546315 n^{3} - 3338015542921 n^{2} - 23206435648248 n - 52295149759608\right) a{\left(n + 6 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(3269999825 n^{4} + 2091729312039 n^{3} + 501741504994271 n^{2} + 53488167219939355 n + 2138220398144739630\right) a{\left(n + 159 \right)}}{15680 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(4103642874 n^{4} + 3031427425291 n^{3} + 822371503178286 n^{2} + 97583823475772087 n + 4288061867357386642\right) a{\left(n + 158 \right)}}{31360 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{32 \left(23943254501 n^{4} + 1200738373195 n^{3} + 18449922966610 n^{2} + 114590880948096 n + 252498201119844\right) a{\left(n + 7 \right)}}{245 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(440572828768 n^{4} + 272718954061244 n^{3} + 63289093351817739 n^{2} + 6525906154791937149 n + 252267332785024550018\right) a{\left(n + 157 \right)}}{31360 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{8 \left(1591718092556 n^{4} + 177966352520823 n^{3} + 6686382470570926 n^{2} + 88586242316016747 n + 379115451935455560\right) a{\left(n + 10 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{16 \left(2007492377633 n^{4} + 86084280147897 n^{3} + 1347878961721903 n^{2} + 9184459149605043 n + 23063086272123636\right) a{\left(n + 8 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(5246130277609 n^{4} + 3258960341467806 n^{3} + 759126356620625795 n^{2} + 78583216040403590372 n + 3050278991090901180416\right) a{\left(n + 156 \right)}}{31360 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{8 \left(41319111757484 n^{4} + 1857880817351123 n^{3} + 30493349708488144 n^{2} + 218085566900949793 n + 576125174689755096\right) a{\left(n + 9 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(63960413906702 n^{4} + 39837042279079289 n^{3} + 9303443257229289025 n^{2} + 965534816695885881344 n + 37572847605690908224652\right) a{\left(n + 155 \right)}}{62720 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(539979466469777 n^{4} + 341610901625704056 n^{3} + 80970689929242330592 n^{2} + 8522627694866873737497 n + 336126262982788876331214\right) a{\left(n + 154 \right)}}{188160 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{4 \left(821340024949401 n^{4} + 42190286135909868 n^{3} + 808519526255617467 n^{2} + 6853399365186815428 n + 21686322068947266492\right) a{\left(n + 11 \right)}}{245 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(996301147815752 n^{4} + 543147024469421421 n^{3} + 109494203397280797256 n^{2} + 9634975064855207853285 n + 310369820347320082828338\right) a{\left(n + 153 \right)}}{376320 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{2 \left(14880077106124791 n^{4} + 796050009782420936 n^{3} + 15823845620408285217 n^{2} + 138735385405819162444 n + 453220542058435474524\right) a{\left(n + 12 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(15495734958960760 n^{4} + 8681220414420137762 n^{3} + 1810444768236850162325 n^{2} + 166334670059459100906289 n + 5669590314269240250298782\right) a{\left(n + 152 \right)}}{376320 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{2 \left(57688327702771877 n^{4} + 3475376276260243653 n^{3} + 78432921329431595077 n^{2} + 785099308416555966201 n + 2938828504772736197556\right) a{\left(n + 13 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{2 \left(180309237489707557 n^{4} + 10336945101759700567 n^{3} + 215224882554853145792 n^{2} + 1911070078584673451138 n + 6000079135862874348558\right) a{\left(n + 15 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{2 \left(416936384529669222 n^{4} + 25902410098281674374 n^{3} + 602008621019465085519 n^{2} + 6204815931300512148299 n + 23932826981320962013272\right) a{\left(n + 14 \right)}}{735 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(793467703501813006 n^{4} + 465903068450394133676 n^{3} + 102503025551505657964661 n^{2} + 10014228384962912135460493 n + 366546001162223187090719502\right) a{\left(n + 151 \right)}}{376320 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - 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\frac{\left(8827507539905844032442880268340206138389 n^{4} + 3167379735700031938571130419026298585288254 n^{3} + 426206194790506997702599478294252851606488101 n^{2} + 25490842404240152205147303744125436280431257172 n + 571752549451253185695496340573256594563448842868\right) a{\left(n + 89 \right)}}{2007040 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(10067406863192265071385979657283053182043 n^{4} + 4129008893192396290438559950498085734745134 n^{3} + 634979708529896365451142732954675452110965317 n^{2} + 43395783700798179595196777045453453517497767562 n + 1112049745146508152086812966863072593455892011128\right) a{\left(n + 101 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(10071858755311938624139800601760106481321 n^{4} + 2986723574391277282706886370786890782279254 n^{3} + 332152477915957622716642625733912895136712023 n^{2} + 16418106483751942902350898639562603912542259970 n + 304344373358558459267324255636211727420384144056\right) a{\left(n + 74 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(10291720398066651781956211745051152792447 n^{4} + 3321752668571884589879888125962032805701342 n^{3} + 401843109856672170659092719968684508932174219 n^{2} + 21594800518461965081912252761346775694628989816 n + 434976572566199574997966310468883468000263146584\right) a{\left(n + 79 \right)}}{6021120 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(11538588033947821719248993014002758157009 n^{4} + 3943767268050954558791651247042282445689698 n^{3} + 504897154846439504670865577709750420489557709 n^{2} + 28697198967883098843409455568319699940886747888 n + 611023697101018754917046934029198770623407880360\right) a{\left(n + 83 \right)}}{6021120 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(11544744488213134885501850371617089708773 n^{4} + 3511445574784220712671851114792184038002530 n^{3} + 400515497249179522527240950370212479757426711 n^{2} + 20303715070599937027802188443556495320145889194 n + 385987544153170072978915991142057738767219997480\right) a{\left(n + 77 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(11643489428265811685005665255312580264803 n^{4} + 4576152634902118920520907977851397715174210 n^{3} + 674442446243982683361594063303698089978466835 n^{2} + 44177720923608440806816159067035738029016763248 n + 1085151093495330933107576327751668835595535377764\right) a{\left(n + 97 \right)}}{6021120 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(12067985207320050738169858923310201369091 n^{4} + 3789360684795406264718559458085685979392514 n^{3} + 446206902942559440697117647813864463434800023 n^{2} + 23352443817800690151584915520216468478735921492 n + 458319289966805425524256124035447890233677849092\right) a{\left(n + 78 \right)}}{6021120 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(21371840848396244258817723051271715982815 n^{4} + 8172578957177437298863983767016210069431198 n^{3} + 1171400086747907118716702394718261272107190433 n^{2} + 74588562273541465894106867409318026384321315434 n + 1780242296577304276674480632452935142172003911560\right) a{\left(n + 94 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(25743651188972166796983470388033275972235 n^{4} + 9963087834088629518671718832092298827513458 n^{3} + 1446286879621495602337502117205146605177623825 n^{2} + 93333690872355647881630869241593885668667381962 n + 2259228829506405155485900842556345058251228457544\right) a{\left(n + 96 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(33843175051213759597280594013918081582713 n^{4} + 12507971998729788559072525007642538924103530 n^{3} + 1734213331368517182013575951005789394094865419 n^{2} + 106907158068628989009213384354178789168618227834 n + 2472383378193192140474923103996337980908550802552\right) a{\left(n + 92 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(39594307659408543485336661136738548566083 n^{4} + 14463646674931081592110771878996020868934318 n^{3} + 1980574834894602131418532333413037894223401097 n^{2} + 120493345302760893107927659046600207946721803374 n + 2747960198690412952195026571970338355847790377360\right) a{\left(n + 90 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(40232888925117609516322830600145696320713 n^{4} + 13344403563259223530371085336099766799743254 n^{3} + 1659562905572819760832503966580932323518290391 n^{2} + 91717515177214533378047183804643186489583558586 n + 1900595577919037821414362116334910270442668610040\right) a{\left(n + 82 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(41543688551038190475884128284455002051741 n^{4} + 15611324178036170671906162329440626001908474 n^{3} + 2199967523485636805380390413553370838111571079 n^{2} + 137791247428143244755820200710498403687643836914 n + 3236460461345462390749554120824757333668881350384\right) a{\left(n + 93 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} + \frac{\left(46823808542643435439668731211253064322097 n^{4} + 15990462789015101522838636782962525915461434 n^{3} + 2048063904047218977666173409657623138277673247 n^{2} + 116600954996713359332353322744558066040614477446 n + 2489730017112966105240068617567518892378219264512\right) a{\left(n + 85 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)} - \frac{\left(48152443294403047227555230824137793312829 n^{4} + 16792135219240521960976568110168178284631366 n^{3} + 2195362070196752432699181018648713117161512871 n^{2} + 127528683955120844078116093365294352780890684310 n + 2777328817597934336880211642782919339405816031832\right) a{\left(n + 86 \right)}}{12042240 \left(n + 161\right) \left(n + 162\right) \left(n + 163\right) \left(2 n + 327\right)}, \quad n \geq 163
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24510/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[284,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = -F[282,x]+F[13,x]
F[13,x] = 1/F[4,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = F[16,x]+F[19,x]
F[16,x] = F[17,x]*F[2,x]
F[17,x] = 1/F[4,x]*F[18,x]
F[18,x] = F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]*F[77,x]
F[21,x] = F[2,x]+F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[24,x]*F[4,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[0,x]+F[22,x]
F[26,x] = F[27,x]+F[30,x]
F[27,x] = -F[0,x]+F[28,x]
F[28,x] = 1/F[4,x]*F[29,x]
F[29,x] = F[2,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]*F[4,x]
F[32,x] = F[33,x]
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[35,x]+F[76,x]
F[35,x] = F[0,x]*F[36,x]
F[36,x] = F[37,x]+F[41,x]
F[37,x] = F[26,x]+F[38,x]
F[38,x] = F[0,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[36,x]*F[4,x]
F[41,x] = F[42,x]
F[42,x] = F[4,x]*F[43,x]
F[43,x] = 1/F[0,x]^2/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[75,x]+F[46,x]
F[46,x] = 1/F[4,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = -F[54,x]+F[49,x]
F[49,x] = -F[53,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[2,x]+F[27,x]
F[53,x] = F[2,x]*F[5,x]
F[54,x] = F[55,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = F[57,x]+F[58,x]
F[57,x] = F[36,x]*F[6,x]
F[58,x] = F[59,x]*F[69,x]
F[59,x] = 1/F[4,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[29,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[36,x]*F[4,x]
F[67,x] = F[68,x]
F[68,x] = F[4,x]*F[43,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = F[0,x]*F[6,x]
F[71,x] = F[6,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[4,x]*F[74,x]
F[74,x] = F[1,x]+F[72,x]
F[75,x] = F[0,x]^2*F[37,x]
F[76,x] = F[59,x]*F[6,x]
F[77,x] = 1/F[4,x]/F[74,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[139,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[4,x]*F[74,x]*F[82,x]
F[82,x] = F[79,x]+F[83,x]
F[83,x] = F[133,x]+F[84,x]
F[84,x] = F[17,x]*F[85,x]
F[85,x] = F[1,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[4,x]*F[88,x]
F[88,x] = F[89,x]+F[96,x]
F[89,x] = F[1,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[4,x]*F[92,x]
F[92,x] = F[89,x]+F[93,x]
F[93,x] = F[4,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[4,x]*F[90,x]
F[96,x] = F[109,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[4,x]*F[99,x]
F[99,x] = F[100,x]+F[101,x]
F[100,x] = F[1,x]+F[4,x]
F[101,x] = F[102,x]+F[97,x]
F[102,x] = F[103,x]+F[104,x]+F[108,x]
F[103,x] = 0
F[104,x] = F[105,x]*F[4,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[4,x]
F[107,x] = F[102,x]
F[108,x] = F[4,x]*F[97,x]
F[109,x] = F[103,x]+F[110,x]+F[131,x]
F[110,x] = F[111,x]*F[4,x]
F[111,x] = F[112,x]+F[116,x]
F[112,x] = F[113,x]+F[90,x]
F[113,x] = F[103,x]+F[114,x]+F[95,x]
F[114,x] = F[115,x]*F[4,x]
F[115,x] = F[93,x]
F[116,x] = F[109,x]+F[117,x]
F[117,x] = F[103,x]+F[118,x]+F[122,x]+F[123,x]
F[118,x] = F[119,x]*F[4,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[113,x]
F[121,x] = F[117,x]
F[122,x] = F[109,x]*F[4,x]
F[123,x] = F[124,x]*F[4,x]
F[124,x] = F[125,x]
F[125,x] = F[102,x]+F[126,x]
F[126,x] = 2*F[103,x]+F[122,x]+F[127,x]
F[127,x] = F[128,x]*F[4,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[94,x]
F[130,x] = F[126,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[125,x]+F[96,x]
F[133,x] = F[134,x]*F[74,x]
F[134,x] = F[135,x]+F[6,x]
F[135,x] = -F[136,x]+F[10,x]
F[136,x] = F[137,x]+F[2,x]
F[137,x] = -F[2,x]+F[138,x]
F[138,x] = -F[0,x]+F[17,x]
F[139,x] = F[140,x]+F[250,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[4,x]*F[74,x]
F[142,x] = F[143,x]+F[2,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[140,x]+F[142,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[4,x]*F[149,x]
F[149,x] = F[137,x]
F[150,x] = F[140,x]+F[151,x]
F[151,x] = F[152,x]+F[86,x]
F[152,x] = F[103,x]+F[153,x]+F[201,x]
F[153,x] = F[154,x]*F[4,x]
F[154,x] = F[155,x]+F[164,x]
F[155,x] = F[156,x]+F[4,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[4,x]
F[158,x] = F[155,x]+F[159,x]
F[159,x] = F[160,x]+F[162,x]
F[160,x] = F[161,x]
F[161,x] = x^2
F[162,x] = F[163,x]
F[163,x] = F[156,x]*F[4,x]
F[164,x] = F[165,x]+F[177,x]
F[165,x] = F[103,x]+F[166,x]+F[176,x]
F[166,x] = F[167,x]*F[4,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[160,x]+F[4,x]
F[169,x] = F[165,x]+F[170,x]
F[170,x] = 2*F[103,x]+F[171,x]+F[175,x]
F[171,x] = F[172,x]*F[4,x]
F[172,x] = F[173,x]+F[174,x]
F[173,x] = F[160,x]
F[174,x] = F[170,x]
F[175,x] = F[165,x]*F[4,x]
F[176,x] = F[4,x]*F[72,x]
F[177,x] = 2*F[103,x]+F[178,x]+F[199,x]
F[178,x] = F[179,x]*F[4,x]
F[179,x] = F[180,x]+F[184,x]
F[180,x] = F[156,x]+F[181,x]
F[181,x] = 2*F[103,x]+F[163,x]+F[182,x]
F[182,x] = F[183,x]*F[4,x]
F[183,x] = F[159,x]
F[184,x] = F[177,x]+F[185,x]
F[185,x] = 2*F[103,x]+F[186,x]+F[190,x]+F[191,x]
F[186,x] = F[187,x]*F[4,x]
F[187,x] = F[188,x]+F[189,x]
F[188,x] = F[181,x]
F[189,x] = F[185,x]
F[190,x] = F[177,x]*F[4,x]
F[191,x] = F[192,x]*F[4,x]
F[192,x] = F[193,x]
F[193,x] = F[170,x]+F[194,x]
F[194,x] = 3*F[103,x]+F[190,x]+F[195,x]
F[195,x] = F[196,x]*F[4,x]
F[196,x] = F[197,x]+F[198,x]
F[197,x] = F[162,x]
F[198,x] = F[194,x]
F[199,x] = F[200,x]*F[4,x]
F[200,x] = F[164,x]+F[193,x]
F[201,x] = F[202,x]*F[4,x]
F[202,x] = F[203,x]+F[214,x]
F[203,x] = F[204,x]+F[72,x]
F[204,x] = F[103,x]+F[205,x]+F[208,x]
F[205,x] = F[206,x]*F[4,x]
F[206,x] = F[207,x]+F[4,x]
F[207,x] = F[103,x]+F[176,x]+F[205,x]
F[208,x] = F[209,x]*F[4,x]
F[209,x] = F[203,x]+F[210,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[176,x]
F[212,x] = F[213,x]
F[213,x] = F[204,x]*F[4,x]
F[214,x] = F[215,x]+F[226,x]
F[215,x] = F[216,x]
F[216,x] = F[217,x]*F[4,x]
F[217,x] = F[218,x]+F[219,x]
F[218,x] = F[211,x]+F[72,x]
F[219,x] = F[215,x]+F[220,x]
F[220,x] = 2*F[103,x]+F[221,x]+F[225,x]
F[221,x] = F[222,x]*F[4,x]
F[222,x] = F[223,x]+F[224,x]
F[223,x] = F[211,x]
F[224,x] = F[220,x]
F[225,x] = F[215,x]*F[4,x]
F[226,x] = 2*F[103,x]+F[227,x]+F[248,x]
F[227,x] = F[228,x]*F[4,x]
F[228,x] = F[229,x]+F[233,x]
F[229,x] = F[204,x]+F[230,x]
F[230,x] = 2*F[103,x]+F[213,x]+F[231,x]
F[231,x] = F[232,x]*F[4,x]
F[232,x] = F[210,x]
F[233,x] = F[226,x]+F[234,x]
F[234,x] = 2*F[103,x]+F[235,x]+F[239,x]+F[240,x]
F[235,x] = F[236,x]*F[4,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[230,x]
F[238,x] = F[234,x]
F[239,x] = F[226,x]*F[4,x]
F[240,x] = F[241,x]*F[4,x]
F[241,x] = F[242,x]
F[242,x] = F[220,x]+F[243,x]
F[243,x] = 3*F[103,x]+F[239,x]+F[244,x]
F[244,x] = F[245,x]*F[4,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[212,x]
F[247,x] = F[243,x]
F[248,x] = F[249,x]*F[4,x]
F[249,x] = F[214,x]+F[242,x]
F[250,x] = F[251,x]
F[251,x] = F[252,x]*F[4,x]
F[252,x] = F[253,x]+F[265,x]
F[253,x] = F[254,x]
F[254,x] = F[142,x]*F[255,x]*F[4,x]*F[74,x]
F[255,x] = F[17,x]+F[256,x]
F[256,x] = -F[259,x]+F[257,x]
F[257,x] = 1/F[4,x]*F[258,x]
F[258,x] = F[137,x]
F[259,x] = F[260,x]
F[260,x] = F[261,x]*F[4,x]
F[261,x] = 1/F[4,x]*F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[264,x]
F[264,x] = F[4,x]*F[77,x]
F[265,x] = -F[277,x]+F[266,x]
F[266,x] = 1/F[4,x]*F[267,x]
F[267,x] = F[268,x]
F[268,x] = -F[269,x]+F[147,x]
F[269,x] = -F[270,x]+F[145,x]
F[270,x] = -F[275,x]+F[271,x]
F[271,x] = F[147,x]+F[272,x]
F[272,x] = F[146,x]+F[273,x]
F[273,x] = F[274,x]+F[85,x]
F[274,x] = F[152,x]+F[86,x]
F[275,x] = F[276,x]+F[80,x]
F[276,x] = F[0,x]*F[85,x]
F[277,x] = F[253,x]+F[278,x]
F[278,x] = 1/F[4,x]*F[279,x]
F[279,x] = F[280,x]
F[280,x] = -F[281,x]+F[10,x]
F[281,x] = F[2,x]*F[85,x]
F[282,x] = F[283,x]
F[283,x] = F[4,x]*F[74,x]*F[77,x]
F[284,x] = F[285,x]+F[299,x]
F[285,x] = F[0,x]*F[286,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]*F[289,x]*F[4,x]*F[74,x]
F[288,x] = F[1,x]+F[97,x]
F[289,x] = F[290,x]+F[291,x]
F[290,x] = F[74,x]*F[85,x]
F[291,x] = F[292,x]
F[292,x] = F[293,x]*F[4,x]
F[293,x] = F[294,x]+F[90,x]
F[294,x] = F[109,x]+F[295,x]
F[295,x] = F[296,x]
F[296,x] = F[297,x]*F[4,x]
F[297,x] = F[298,x]+F[4,x]
F[298,x] = F[102,x]+F[295,x]
F[299,x] = F[300,x]
F[300,x] = F[288,x]*F[301,x]*F[4,x]*F[74,x]
F[301,x] = F[302,x]+F[309,x]
F[302,x] = F[303,x]
F[303,x] = F[304,x]*F[4,x]
F[304,x] = F[305,x]+F[308,x]
F[305,x] = F[0,x]*F[306,x]
F[306,x] = 1/F[4,x]*F[307,x]
F[307,x] = F[142,x]
F[308,x] = F[5,x]*F[6,x]
F[309,x] = -F[139,x]+F[310,x]
F[310,x] = -F[350,x]+F[311,x]
F[311,x] = 1/F[4,x]*F[312,x]
F[312,x] = F[313,x]
F[313,x] = F[314,x]*F[4,x]
F[314,x] = F[315,x]+F[346,x]
F[315,x] = F[316,x]+F[319,x]
F[316,x] = F[138,x]*F[317,x]
F[317,x] = 1/F[4,x]*F[318,x]
F[318,x] = F[2,x]
F[319,x] = F[0,x]*F[320,x]
F[320,x] = -F[138,x]+F[321,x]
F[321,x] = F[322,x]+F[323,x]
F[322,x] = F[100,x]*F[2,x]
F[323,x] = F[324,x]
F[324,x] = F[325,x]*F[4,x]
F[325,x] = F[326,x]+F[331,x]
F[326,x] = F[327,x]+F[328,x]
F[327,x] = F[15,x]+F[263,x]
F[328,x] = F[2,x]*F[329,x]
F[329,x] = F[330,x]
F[330,x] = F[255,x]*F[4,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]+F[342,x]
F[333,x] = F[334,x]
F[334,x] = F[335,x]*F[4,x]
F[335,x] = 1/F[4,x]/F[5,x]/F[74,x]*F[336,x]
F[336,x] = F[337,x]
F[337,x] = -F[339,x]+F[338,x]
F[338,x] = F[265,x]
F[339,x] = F[340,x]
F[340,x] = F[142,x]*F[341,x]*F[4,x]*F[74,x]
F[341,x] = F[17,x]+F[263,x]
F[342,x] = F[2,x]*F[343,x]
F[343,x] = F[333,x]+F[344,x]
F[344,x] = F[345,x]
F[345,x] = F[341,x]*F[4,x]
F[346,x] = F[347,x]+F[349,x]
F[347,x] = -F[348,x]+F[271,x]
F[348,x] = F[321,x]+F[5,x]
F[349,x] = F[134,x]*F[72,x]
F[350,x] = F[351,x]+F[353,x]
F[351,x] = F[274,x]+F[352,x]
F[352,x] = -F[142,x]+F[269,x]
F[353,x] = F[0,x]*F[72,x]*F[86,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{284}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = -F_{282}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{19}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{30}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{2}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{76}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{37}\! \left(x \right) = F_{26}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{0}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{75}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{27}\! \left(x \right)
F_{53}\! \left(x \right) = F_{2}\! \left(x \right) F_{5}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)
F_{57}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right) F_{69}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{29}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{43}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{6}\! \left(x \right)
F_{71}\! \left(x \right) = F_{6}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{1}\! \left(x \right)+F_{72}\! \left(x \right)
F_{75}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{37}\! \left(x \right)
F_{76}\! \left(x \right) = F_{59}\! \left(x \right) F_{6}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{4}\! \left(x \right) F_{74}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{139}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{79}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{133}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{17}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{1}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{96}\! \left(x \right)
F_{89}\! \left(x \right) = F_{1}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{4}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{89}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{4}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{96}\! \left(x \right) = F_{109}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{4}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{101}\! \left(x \right)
F_{100}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{97}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{104}\! \left(x \right)+F_{108}\! \left(x \right)
F_{103}\! \left(x \right) = 0
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{107}\! \left(x \right)
F_{106}\! \left(x \right) = F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = F_{102}\! \left(x \right)
F_{108}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{109}\! \left(x \right) = F_{103}\! \left(x \right)+F_{110}\! \left(x \right)+F_{131}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{116}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{90}\! \left(x \right)
F_{113}\! \left(x \right) = F_{103}\! \left(x \right)+F_{114}\! \left(x \right)+F_{95}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{93}\! \left(x \right)
F_{116}\! \left(x \right) = F_{109}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{103}\! \left(x \right)+F_{118}\! \left(x \right)+F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{113}\! \left(x \right)
F_{121}\! \left(x \right) = F_{117}\! \left(x \right)
F_{122}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{4}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{102}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{122}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{94}\! \left(x \right)
F_{130}\! \left(x \right) = F_{126}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{125}\! \left(x \right)+F_{96}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{74}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{6}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{10}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{2}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{250}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{2}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{140}\! \left(x \right)+F_{142}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{137}\! \left(x \right)
F_{150}\! \left(x \right) = F_{140}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{86}\! \left(x \right)
F_{152}\! \left(x \right) = F_{103}\! \left(x \right)+F_{153}\! \left(x \right)+F_{201}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{164}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{4}\! \left(x \right)
F_{158}\! \left(x \right) = F_{155}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = x^{2}
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{177}\! \left(x \right)
F_{165}\! \left(x \right) = F_{103}\! \left(x \right)+F_{166}\! \left(x \right)+F_{176}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{160}\! \left(x \right)+F_{4}\! \left(x \right)
F_{169}\! \left(x \right) = F_{165}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{171}\! \left(x \right)+F_{175}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{4}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{160}\! \left(x \right)
F_{174}\! \left(x \right) = F_{170}\! \left(x \right)
F_{175}\! \left(x \right) = F_{165}\! \left(x \right) F_{4}\! \left(x \right)
F_{176}\! \left(x \right) = F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{177}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{178}\! \left(x \right)+F_{199}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{184}\! \left(x \right)
F_{180}\! \left(x \right) = F_{156}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{163}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{4}\! \left(x \right)
F_{183}\! \left(x \right) = F_{159}\! \left(x \right)
F_{184}\! \left(x \right) = F_{177}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{186}\! \left(x \right)+F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)
F_{188}\! \left(x \right) = F_{181}\! \left(x \right)
F_{189}\! \left(x \right) = F_{185}\! \left(x \right)
F_{190}\! \left(x \right) = F_{177}\! \left(x \right) F_{4}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{170}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = 3 F_{103}\! \left(x \right)+F_{190}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{4}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{198}\! \left(x \right)
F_{197}\! \left(x \right) = F_{162}\! \left(x \right)
F_{198}\! \left(x \right) = F_{194}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right) F_{4}\! \left(x \right)
F_{200}\! \left(x \right) = F_{164}\! \left(x \right)+F_{193}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{214}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{72}\! \left(x \right)
F_{204}\! \left(x \right) = F_{103}\! \left(x \right)+F_{205}\! \left(x \right)+F_{208}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right) F_{4}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{4}\! \left(x \right)
F_{207}\! \left(x \right) = F_{103}\! \left(x \right)+F_{176}\! \left(x \right)+F_{205}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = F_{203}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{176}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{204}\! \left(x \right) F_{4}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{226}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{219}\! \left(x \right)
F_{218}\! \left(x \right) = F_{211}\! \left(x \right)+F_{72}\! \left(x \right)
F_{219}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{221}\! \left(x \right)+F_{225}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{224}\! \left(x \right)
F_{223}\! \left(x \right) = F_{211}\! \left(x \right)
F_{224}\! \left(x \right) = F_{220}\! \left(x \right)
F_{225}\! \left(x \right) = F_{215}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{227}\! \left(x \right)+F_{248}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right) F_{4}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{233}\! \left(x \right)
F_{229}\! \left(x \right) = F_{204}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{213}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right) F_{4}\! \left(x \right)
F_{232}\! \left(x \right) = F_{210}\! \left(x \right)
F_{233}\! \left(x \right) = F_{226}\! \left(x \right)+F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = 2 F_{103}\! \left(x \right)+F_{235}\! \left(x \right)+F_{239}\! \left(x \right)+F_{240}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{230}\! \left(x \right)
F_{238}\! \left(x \right) = F_{234}\! \left(x \right)
F_{239}\! \left(x \right) = F_{226}\! \left(x \right) F_{4}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{4}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{220}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = 3 F_{103}\! \left(x \right)+F_{239}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)
F_{246}\! \left(x \right) = F_{212}\! \left(x \right)
F_{247}\! \left(x \right) = F_{243}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{249}\! \left(x \right) = F_{214}\! \left(x \right)+F_{242}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right) F_{4}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)+F_{265}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{142}\! \left(x \right) F_{255}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{255}\! \left(x \right) = F_{17}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = -F_{259}\! \left(x \right)+F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = \frac{F_{258}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{258}\! \left(x \right) = F_{137}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{277}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{269}\! \left(x \right)+F_{147}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{270}\! \left(x \right)+F_{145}\! \left(x \right)
F_{270}\! \left(x \right) = -F_{275}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{147}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{146}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)+F_{85}\! \left(x \right)
F_{274}\! \left(x \right) = F_{152}\! \left(x \right)+F_{86}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)+F_{80}\! \left(x \right)
F_{276}\! \left(x \right) = F_{0}\! \left(x \right) F_{85}\! \left(x \right)
F_{277}\! \left(x \right) = F_{253}\! \left(x \right)+F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = \frac{F_{279}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{281}\! \left(x \right)+F_{10}\! \left(x \right)
F_{281}\! \left(x \right) = F_{2}\! \left(x \right) F_{85}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right) F_{77}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{299}\! \left(x \right)
F_{285}\! \left(x \right) = F_{0}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right) F_{289}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{288}\! \left(x \right) = F_{1}\! \left(x \right)+F_{97}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)+F_{291}\! \left(x \right)
F_{290}\! \left(x \right) = F_{74}\! \left(x \right) F_{85}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right) F_{4}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{90}\! \left(x \right)
F_{294}\! \left(x \right) = F_{109}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right) F_{4}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{4}\! \left(x \right)
F_{298}\! \left(x \right) = F_{102}\! \left(x \right)+F_{295}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{288}\! \left(x \right) F_{301}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{309}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right) F_{4}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{308}\! \left(x \right)
F_{305}\! \left(x \right) = F_{0}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{307}\! \left(x \right) = F_{142}\! \left(x \right)
F_{308}\! \left(x \right) = F_{5}\! \left(x \right) F_{6}\! \left(x \right)
F_{309}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = \frac{F_{312}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{4}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{346}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{319}\! \left(x \right)
F_{316}\! \left(x \right) = F_{138}\! \left(x \right) F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = \frac{F_{318}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{318}\! \left(x \right) = F_{2}\! \left(x \right)
F_{319}\! \left(x \right) = F_{0}\! \left(x \right) F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)+F_{323}\! \left(x \right)
F_{322}\! \left(x \right) = F_{100}\! \left(x \right) F_{2}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right) F_{4}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)+F_{331}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{328}\! \left(x \right)
F_{327}\! \left(x \right) = F_{15}\! \left(x \right)+F_{263}\! \left(x \right)
F_{328}\! \left(x \right) = F_{2}\! \left(x \right) F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{342}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right) F_{4}\! \left(x \right)
F_{335}\! \left(x \right) = \frac{F_{336}\! \left(x \right)}{F_{4}\! \left(x \right) F_{5}\! \left(x \right) F_{74}\! \left(x \right)}
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{265}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{142}\! \left(x \right) F_{341}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{341}\! \left(x \right) = F_{17}\! \left(x \right)+F_{263}\! \left(x \right)
F_{342}\! \left(x \right) = F_{2}\! \left(x \right) F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{333}\! \left(x \right)+F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)
F_{345}\! \left(x \right) = F_{341}\! \left(x \right) F_{4}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)+F_{349}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{348}\! \left(x \right)+F_{271}\! \left(x \right)
F_{348}\! \left(x \right) = F_{321}\! \left(x \right)+F_{5}\! \left(x \right)
F_{349}\! \left(x \right) = F_{134}\! \left(x \right) F_{72}\! \left(x \right)
F_{350}\! \left(x \right) = F_{351}\! \left(x \right)+F_{353}\! \left(x \right)
F_{351}\! \left(x \right) = F_{274}\! \left(x \right)+F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{269}\! \left(x \right)
F_{353}\! \left(x \right) = F_{0}\! \left(x \right) F_{72}\! \left(x \right) F_{86}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_284(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_13(x) - F_282(x))
Eq(F_13(x), F_14(x)/F_4(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_16(x) + F_19(x))
Eq(F_16(x), F_17(x)*F_2(x))
Eq(F_17(x), F_18(x)/F_4(x))
Eq(F_18(x), F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x)*F_77(x))
Eq(F_21(x), F_2(x) + F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_0(x) + F_22(x))
Eq(F_26(x), F_27(x) + F_30(x))
Eq(F_27(x), -F_0(x) + F_28(x))
Eq(F_28(x), F_29(x)/F_4(x))
Eq(F_29(x), F_2(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x)*F_4(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_35(x) + F_76(x))
Eq(F_35(x), F_0(x)*F_36(x))
Eq(F_36(x), F_37(x) + F_41(x))
Eq(F_37(x), F_26(x) + F_38(x))
Eq(F_38(x), F_0(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_36(x)*F_4(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_4(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_0(x)**2*F_4(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x) - F_75(x))
Eq(F_46(x), F_47(x)/F_4(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x) - F_54(x))
Eq(F_49(x), F_50(x) - F_53(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_2(x) + F_27(x))
Eq(F_53(x), F_2(x)*F_5(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_58(x))
Eq(F_57(x), F_36(x)*F_6(x))
Eq(F_58(x), F_59(x)*F_69(x))
Eq(F_59(x), F_60(x)/F_4(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_29(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_36(x)*F_4(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_4(x)*F_43(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), F_0(x)*F_6(x))
Eq(F_71(x), F_6(x)*F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_4(x)*F_74(x))
Eq(F_74(x), F_1(x) + F_72(x))
Eq(F_75(x), F_0(x)**2*F_37(x))
Eq(F_76(x), F_59(x)*F_6(x))
Eq(F_77(x), F_78(x)/(F_4(x)*F_74(x)))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_139(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x)*F_74(x)*F_82(x))
Eq(F_82(x), F_79(x) + F_83(x))
Eq(F_83(x), F_133(x) + F_84(x))
Eq(F_84(x), F_17(x)*F_85(x))
Eq(F_85(x), F_1(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_4(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_96(x))
Eq(F_89(x), F_1(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_4(x)*F_92(x))
Eq(F_92(x), F_89(x) + F_93(x))
Eq(F_93(x), F_4(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_4(x)*F_90(x))
Eq(F_96(x), F_109(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_4(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_101(x))
Eq(F_100(x), F_1(x) + F_4(x))
Eq(F_101(x), F_102(x) + F_97(x))
Eq(F_102(x), F_103(x) + F_104(x) + F_108(x))
Eq(F_103(x), 0)
Eq(F_104(x), F_105(x)*F_4(x))
Eq(F_105(x), F_106(x) + F_107(x))
Eq(F_106(x), F_4(x))
Eq(F_107(x), F_102(x))
Eq(F_108(x), F_4(x)*F_97(x))
Eq(F_109(x), F_103(x) + F_110(x) + F_131(x))
Eq(F_110(x), F_111(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_116(x))
Eq(F_112(x), F_113(x) + F_90(x))
Eq(F_113(x), F_103(x) + F_114(x) + F_95(x))
Eq(F_114(x), F_115(x)*F_4(x))
Eq(F_115(x), F_93(x))
Eq(F_116(x), F_109(x) + F_117(x))
Eq(F_117(x), F_103(x) + F_118(x) + F_122(x) + F_123(x))
Eq(F_118(x), F_119(x)*F_4(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_113(x))
Eq(F_121(x), F_117(x))
Eq(F_122(x), F_109(x)*F_4(x))
Eq(F_123(x), F_124(x)*F_4(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_102(x) + F_126(x))
Eq(F_126(x), 2*F_103(x) + F_122(x) + F_127(x))
Eq(F_127(x), F_128(x)*F_4(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_94(x))
Eq(F_130(x), F_126(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_125(x) + F_96(x))
Eq(F_133(x), F_134(x)*F_74(x))
Eq(F_134(x), F_135(x) + F_6(x))
Eq(F_135(x), F_10(x) - F_136(x))
Eq(F_136(x), F_137(x) + F_2(x))
Eq(F_137(x), F_138(x) - F_2(x))
Eq(F_138(x), -F_0(x) + F_17(x))
Eq(F_139(x), F_140(x) + F_250(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_4(x)*F_74(x))
Eq(F_142(x), F_143(x) + F_2(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_140(x) + F_142(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_4(x))
Eq(F_149(x), F_137(x))
Eq(F_150(x), F_140(x) + F_151(x))
Eq(F_151(x), F_152(x) + F_86(x))
Eq(F_152(x), F_103(x) + F_153(x) + F_201(x))
Eq(F_153(x), F_154(x)*F_4(x))
Eq(F_154(x), F_155(x) + F_164(x))
Eq(F_155(x), F_156(x) + F_4(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_4(x))
Eq(F_158(x), F_155(x) + F_159(x))
Eq(F_159(x), F_160(x) + F_162(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), x**2)
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_156(x)*F_4(x))
Eq(F_164(x), F_165(x) + F_177(x))
Eq(F_165(x), F_103(x) + F_166(x) + F_176(x))
Eq(F_166(x), F_167(x)*F_4(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_160(x) + F_4(x))
Eq(F_169(x), F_165(x) + F_170(x))
Eq(F_170(x), 2*F_103(x) + F_171(x) + F_175(x))
Eq(F_171(x), F_172(x)*F_4(x))
Eq(F_172(x), F_173(x) + F_174(x))
Eq(F_173(x), F_160(x))
Eq(F_174(x), F_170(x))
Eq(F_175(x), F_165(x)*F_4(x))
Eq(F_176(x), F_4(x)*F_72(x))
Eq(F_177(x), 2*F_103(x) + F_178(x) + F_199(x))
Eq(F_178(x), F_179(x)*F_4(x))
Eq(F_179(x), F_180(x) + F_184(x))
Eq(F_180(x), F_156(x) + F_181(x))
Eq(F_181(x), 2*F_103(x) + F_163(x) + F_182(x))
Eq(F_182(x), F_183(x)*F_4(x))
Eq(F_183(x), F_159(x))
Eq(F_184(x), F_177(x) + F_185(x))
Eq(F_185(x), 2*F_103(x) + F_186(x) + F_190(x) + F_191(x))
Eq(F_186(x), F_187(x)*F_4(x))
Eq(F_187(x), F_188(x) + F_189(x))
Eq(F_188(x), F_181(x))
Eq(F_189(x), F_185(x))
Eq(F_190(x), F_177(x)*F_4(x))
Eq(F_191(x), F_192(x)*F_4(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_170(x) + F_194(x))
Eq(F_194(x), 3*F_103(x) + F_190(x) + F_195(x))
Eq(F_195(x), F_196(x)*F_4(x))
Eq(F_196(x), F_197(x) + F_198(x))
Eq(F_197(x), F_162(x))
Eq(F_198(x), F_194(x))
Eq(F_199(x), F_200(x)*F_4(x))
Eq(F_200(x), F_164(x) + F_193(x))
Eq(F_201(x), F_202(x)*F_4(x))
Eq(F_202(x), F_203(x) + F_214(x))
Eq(F_203(x), F_204(x) + F_72(x))
Eq(F_204(x), F_103(x) + F_205(x) + F_208(x))
Eq(F_205(x), F_206(x)*F_4(x))
Eq(F_206(x), F_207(x) + F_4(x))
Eq(F_207(x), F_103(x) + F_176(x) + F_205(x))
Eq(F_208(x), F_209(x)*F_4(x))
Eq(F_209(x), F_203(x) + F_210(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_176(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_204(x)*F_4(x))
Eq(F_214(x), F_215(x) + F_226(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x)*F_4(x))
Eq(F_217(x), F_218(x) + F_219(x))
Eq(F_218(x), F_211(x) + F_72(x))
Eq(F_219(x), F_215(x) + F_220(x))
Eq(F_220(x), 2*F_103(x) + F_221(x) + F_225(x))
Eq(F_221(x), F_222(x)*F_4(x))
Eq(F_222(x), F_223(x) + F_224(x))
Eq(F_223(x), F_211(x))
Eq(F_224(x), F_220(x))
Eq(F_225(x), F_215(x)*F_4(x))
Eq(F_226(x), 2*F_103(x) + F_227(x) + F_248(x))
Eq(F_227(x), F_228(x)*F_4(x))
Eq(F_228(x), F_229(x) + F_233(x))
Eq(F_229(x), F_204(x) + F_230(x))
Eq(F_230(x), 2*F_103(x) + F_213(x) + F_231(x))
Eq(F_231(x), F_232(x)*F_4(x))
Eq(F_232(x), F_210(x))
Eq(F_233(x), F_226(x) + F_234(x))
Eq(F_234(x), 2*F_103(x) + F_235(x) + F_239(x) + F_240(x))
Eq(F_235(x), F_236(x)*F_4(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_230(x))
Eq(F_238(x), F_234(x))
Eq(F_239(x), F_226(x)*F_4(x))
Eq(F_240(x), F_241(x)*F_4(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_220(x) + F_243(x))
Eq(F_243(x), 3*F_103(x) + F_239(x) + F_244(x))
Eq(F_244(x), F_245(x)*F_4(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_212(x))
Eq(F_247(x), F_243(x))
Eq(F_248(x), F_249(x)*F_4(x))
Eq(F_249(x), F_214(x) + F_242(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_252(x)*F_4(x))
Eq(F_252(x), F_253(x) + F_265(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_142(x)*F_255(x)*F_4(x)*F_74(x))
Eq(F_255(x), F_17(x) + F_256(x))
Eq(F_256(x), F_257(x) - F_259(x))
Eq(F_257(x), F_258(x)/F_4(x))
Eq(F_258(x), F_137(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_261(x)*F_4(x))
Eq(F_261(x), F_262(x)/F_4(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_4(x)*F_77(x))
Eq(F_265(x), F_266(x) - F_277(x))
Eq(F_266(x), F_267(x)/F_4(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_147(x) - F_269(x))
Eq(F_269(x), F_145(x) - F_270(x))
Eq(F_270(x), F_271(x) - F_275(x))
Eq(F_271(x), F_147(x) + F_272(x))
Eq(F_272(x), F_146(x) + F_273(x))
Eq(F_273(x), F_274(x) + F_85(x))
Eq(F_274(x), F_152(x) + F_86(x))
Eq(F_275(x), F_276(x) + F_80(x))
Eq(F_276(x), F_0(x)*F_85(x))
Eq(F_277(x), F_253(x) + F_278(x))
Eq(F_278(x), F_279(x)/F_4(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_10(x) - F_281(x))
Eq(F_281(x), F_2(x)*F_85(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_4(x)*F_74(x)*F_77(x))
Eq(F_284(x), F_285(x) + F_299(x))
Eq(F_285(x), F_0(x)*F_286(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x)*F_289(x)*F_4(x)*F_74(x))
Eq(F_288(x), F_1(x) + F_97(x))
Eq(F_289(x), F_290(x) + F_291(x))
Eq(F_290(x), F_74(x)*F_85(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_293(x)*F_4(x))
Eq(F_293(x), F_294(x) + F_90(x))
Eq(F_294(x), F_109(x) + F_295(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_297(x)*F_4(x))
Eq(F_297(x), F_298(x) + F_4(x))
Eq(F_298(x), F_102(x) + F_295(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_288(x)*F_301(x)*F_4(x)*F_74(x))
Eq(F_301(x), F_302(x) + F_309(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_304(x)*F_4(x))
Eq(F_304(x), F_305(x) + F_308(x))
Eq(F_305(x), F_0(x)*F_306(x))
Eq(F_306(x), F_307(x)/F_4(x))
Eq(F_307(x), F_142(x))
Eq(F_308(x), F_5(x)*F_6(x))
Eq(F_309(x), -F_139(x) + F_310(x))
Eq(F_310(x), F_311(x) - F_350(x))
Eq(F_311(x), F_312(x)/F_4(x))
Eq(F_312(x), F_313(x))
Eq(F_313(x), F_314(x)*F_4(x))
Eq(F_314(x), F_315(x) + F_346(x))
Eq(F_315(x), F_316(x) + F_319(x))
Eq(F_316(x), F_138(x)*F_317(x))
Eq(F_317(x), F_318(x)/F_4(x))
Eq(F_318(x), F_2(x))
Eq(F_319(x), F_0(x)*F_320(x))
Eq(F_320(x), -F_138(x) + F_321(x))
Eq(F_321(x), F_322(x) + F_323(x))
Eq(F_322(x), F_100(x)*F_2(x))
Eq(F_323(x), F_324(x))
Eq(F_324(x), F_325(x)*F_4(x))
Eq(F_325(x), F_326(x) + F_331(x))
Eq(F_326(x), F_327(x) + F_328(x))
Eq(F_327(x), F_15(x) + F_263(x))
Eq(F_328(x), F_2(x)*F_329(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_255(x)*F_4(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x) + F_342(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_335(x)*F_4(x))
Eq(F_335(x), F_336(x)/(F_4(x)*F_5(x)*F_74(x)))
Eq(F_336(x), F_337(x))
Eq(F_337(x), F_338(x) - F_339(x))
Eq(F_338(x), F_265(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_142(x)*F_341(x)*F_4(x)*F_74(x))
Eq(F_341(x), F_17(x) + F_263(x))
Eq(F_342(x), F_2(x)*F_343(x))
Eq(F_343(x), F_333(x) + F_344(x))
Eq(F_344(x), F_345(x))
Eq(F_345(x), F_341(x)*F_4(x))
Eq(F_346(x), F_347(x) + F_349(x))
Eq(F_347(x), F_271(x) - F_348(x))
Eq(F_348(x), F_321(x) + F_5(x))
Eq(F_349(x), F_134(x)*F_72(x))
Eq(F_350(x), F_351(x) + F_353(x))
Eq(F_351(x), F_274(x) + F_352(x))
Eq(F_352(x), -F_142(x) + F_269(x))
Eq(F_353(x), F_0(x)*F_72(x)*F_86(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", 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[0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24679/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[22,x]*F[228,x]
F[12,x] = F[0,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[22,x]
F[15,x] = F[12,x]+F[16,x]
F[16,x] = F[17,x]+F[23,x]
F[17,x] = F[18,x]+F[2,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = 1/F[22,x]*F[21,x]
F[21,x] = F[2,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[22,x]*F[27,x]
F[27,x] = F[227,x]+F[28,x]
F[28,x] = F[0,x]*F[29,x]
F[29,x] = F[30,x]+F[34,x]
F[30,x] = F[16,x]+F[31,x]
F[31,x] = F[0,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[22,x]*F[29,x]
F[34,x] = F[35,x]
F[35,x] = F[22,x]*F[36,x]
F[36,x] = 1/F[0,x]^2/F[22,x]*F[37,x]
F[37,x] = F[38,x]
F[38,x] = -F[226,x]+F[39,x]
F[39,x] = 1/F[22,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = -F[208,x]+F[42,x]
F[42,x] = -F[45,x]+F[43,x]
F[43,x] = 1/F[22,x]*F[44,x]
F[44,x] = F[18,x]
F[45,x] = F[2,x]*F[46,x]
F[46,x] = F[0,x]+F[47,x]
F[47,x] = F[48,x]+F[95,x]
F[48,x] = F[49,x]
F[49,x] = F[22,x]*F[50,x]
F[50,x] = F[51,x]+F[58,x]
F[51,x] = F[1,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[22,x]*F[54,x]
F[54,x] = F[51,x]+F[55,x]
F[55,x] = F[22,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[22,x]*F[52,x]
F[58,x] = F[59,x]+F[71,x]
F[59,x] = F[60,x]
F[60,x] = F[22,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[1,x]+F[22,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[65,x]+F[66,x]+F[70,x]
F[65,x] = 0
F[66,x] = F[22,x]*F[67,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[22,x]
F[69,x] = F[64,x]
F[70,x] = F[22,x]*F[59,x]
F[71,x] = F[65,x]+F[72,x]+F[93,x]
F[72,x] = F[22,x]*F[73,x]
F[73,x] = F[74,x]+F[78,x]
F[74,x] = F[52,x]+F[75,x]
F[75,x] = F[57,x]+F[65,x]+F[76,x]
F[76,x] = F[22,x]*F[77,x]
F[77,x] = F[55,x]
F[78,x] = F[71,x]+F[79,x]
F[79,x] = F[65,x]+F[80,x]+F[84,x]+F[85,x]
F[80,x] = F[22,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[75,x]
F[83,x] = F[79,x]
F[84,x] = F[22,x]*F[71,x]
F[85,x] = F[22,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[64,x]+F[88,x]
F[88,x] = 2*F[65,x]+F[84,x]+F[89,x]
F[89,x] = F[22,x]*F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[56,x]
F[92,x] = F[88,x]
F[93,x] = F[22,x]*F[94,x]
F[94,x] = F[58,x]+F[87,x]
F[95,x] = F[96,x]
F[96,x] = F[22,x]*F[97,x]
F[97,x] = F[105,x]+F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[2,x]+F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]*F[99,x]
F[102,x] = F[1,x]+F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[102,x]*F[22,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[22,x]*F[107,x]
F[107,x] = F[6,x]
F[108,x] = F[100,x]+F[109,x]
F[109,x] = F[110,x]+F[48,x]
F[110,x] = F[111,x]+F[159,x]+F[65,x]
F[111,x] = F[112,x]*F[22,x]
F[112,x] = F[113,x]+F[122,x]
F[113,x] = F[114,x]+F[22,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[22,x]
F[116,x] = F[113,x]+F[117,x]
F[117,x] = F[118,x]+F[120,x]
F[118,x] = F[119,x]
F[119,x] = x^2
F[120,x] = F[121,x]
F[121,x] = F[114,x]*F[22,x]
F[122,x] = F[123,x]+F[135,x]
F[123,x] = F[124,x]+F[134,x]+F[65,x]
F[124,x] = F[125,x]*F[22,x]
F[125,x] = F[126,x]+F[127,x]
F[126,x] = F[118,x]+F[22,x]
F[127,x] = F[123,x]+F[128,x]
F[128,x] = 2*F[65,x]+F[129,x]+F[133,x]
F[129,x] = F[130,x]*F[22,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[118,x]
F[132,x] = F[128,x]
F[133,x] = F[123,x]*F[22,x]
F[134,x] = F[103,x]*F[22,x]
F[135,x] = 2*F[65,x]+F[136,x]+F[157,x]
F[136,x] = F[137,x]*F[22,x]
F[137,x] = F[138,x]+F[142,x]
F[138,x] = F[114,x]+F[139,x]
F[139,x] = 2*F[65,x]+F[121,x]+F[140,x]
F[140,x] = F[141,x]*F[22,x]
F[141,x] = F[117,x]
F[142,x] = F[135,x]+F[143,x]
F[143,x] = 2*F[65,x]+F[144,x]+F[148,x]+F[149,x]
F[144,x] = F[145,x]*F[22,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[139,x]
F[147,x] = F[143,x]
F[148,x] = F[135,x]*F[22,x]
F[149,x] = F[150,x]*F[22,x]
F[150,x] = F[151,x]
F[151,x] = F[128,x]+F[152,x]
F[152,x] = 3*F[65,x]+F[148,x]+F[153,x]
F[153,x] = F[154,x]*F[22,x]
F[154,x] = F[155,x]+F[156,x]
F[155,x] = F[120,x]
F[156,x] = F[152,x]
F[157,x] = F[158,x]*F[22,x]
F[158,x] = F[122,x]+F[151,x]
F[159,x] = F[160,x]*F[22,x]
F[160,x] = F[161,x]+F[172,x]
F[161,x] = F[103,x]+F[162,x]
F[162,x] = F[163,x]+F[166,x]+F[65,x]
F[163,x] = F[164,x]*F[22,x]
F[164,x] = F[165,x]+F[22,x]
F[165,x] = F[134,x]+F[163,x]+F[65,x]
F[166,x] = F[167,x]*F[22,x]
F[167,x] = F[161,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[134,x]
F[170,x] = F[171,x]
F[171,x] = F[162,x]*F[22,x]
F[172,x] = F[173,x]+F[184,x]
F[173,x] = F[174,x]
F[174,x] = F[175,x]*F[22,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[103,x]+F[169,x]
F[177,x] = F[173,x]+F[178,x]
F[178,x] = 2*F[65,x]+F[179,x]+F[183,x]
F[179,x] = F[180,x]*F[22,x]
F[180,x] = F[181,x]+F[182,x]
F[181,x] = F[169,x]
F[182,x] = F[178,x]
F[183,x] = F[173,x]*F[22,x]
F[184,x] = 2*F[65,x]+F[185,x]+F[206,x]
F[185,x] = F[186,x]*F[22,x]
F[186,x] = F[187,x]+F[191,x]
F[187,x] = F[162,x]+F[188,x]
F[188,x] = 2*F[65,x]+F[171,x]+F[189,x]
F[189,x] = F[190,x]*F[22,x]
F[190,x] = F[168,x]
F[191,x] = F[184,x]+F[192,x]
F[192,x] = 2*F[65,x]+F[193,x]+F[197,x]+F[198,x]
F[193,x] = F[194,x]*F[22,x]
F[194,x] = F[195,x]+F[196,x]
F[195,x] = F[188,x]
F[196,x] = F[192,x]
F[197,x] = F[184,x]*F[22,x]
F[198,x] = F[199,x]*F[22,x]
F[199,x] = F[200,x]
F[200,x] = F[178,x]+F[201,x]
F[201,x] = 3*F[65,x]+F[197,x]+F[202,x]
F[202,x] = F[203,x]*F[22,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[170,x]
F[205,x] = F[201,x]
F[206,x] = F[207,x]*F[22,x]
F[207,x] = F[172,x]+F[200,x]
F[208,x] = F[209,x]
F[209,x] = F[210,x]*F[22,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[29,x]*F[47,x]
F[212,x] = F[213,x]*F[223,x]
F[213,x] = 1/F[22,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[217,x]
F[216,x] = F[21,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]*F[22,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[22,x]*F[29,x]
F[221,x] = F[222,x]
F[222,x] = F[22,x]*F[36,x]
F[223,x] = F[224,x]+F[225,x]
F[224,x] = F[0,x]*F[47,x]
F[225,x] = F[103,x]*F[47,x]
F[226,x] = F[0,x]^2*F[30,x]
F[227,x] = F[213,x]*F[47,x]
F[228,x] = 1/F[22,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[236,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]*F[46,x]
F[235,x] = F[0,x]*F[17,x]
F[236,x] = F[237,x]
F[237,x] = F[22,x]*F[238,x]
F[238,x] = F[239,x]+F[310,x]
F[239,x] = F[240,x]+F[244,x]
F[240,x] = F[241,x]*F[243,x]
F[241,x] = 1/F[22,x]*F[242,x]
F[242,x] = F[2,x]
F[243,x] = F[2,x]+F[6,x]
F[244,x] = F[0,x]*F[245,x]
F[245,x] = -F[47,x]+F[246,x]
F[246,x] = -F[4,x]+F[247,x]
F[247,x] = F[248,x]+F[251,x]
F[248,x] = F[249,x]+F[250,x]
F[249,x] = F[1,x]+F[48,x]
F[250,x] = F[2,x]*F[62,x]
F[251,x] = F[252,x]+F[99,x]
F[252,x] = F[253,x]
F[253,x] = F[22,x]*F[254,x]
F[254,x] = F[255,x]+F[267,x]
F[255,x] = F[256,x]+F[8,x]
F[256,x] = F[2,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[22,x]*F[259,x]
F[259,x] = F[260,x]+F[4,x]
F[260,x] = -F[263,x]+F[261,x]
F[261,x] = 1/F[22,x]*F[262,x]
F[262,x] = F[6,x]
F[263,x] = F[264,x]
F[264,x] = F[22,x]*F[265,x]
F[265,x] = 1/F[22,x]*F[266,x]
F[266,x] = F[230,x]
F[267,x] = F[268,x]
F[268,x] = F[269,x]+F[273,x]
F[269,x] = F[2,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = F[22,x]*F[272,x]
F[272,x] = F[230,x]+F[4,x]
F[273,x] = F[0,x]*F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[22,x]*F[276,x]
F[276,x] = 1/F[102,x]/F[22,x]/F[46,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[308,x]+F[279,x]
F[279,x] = F[280,x]
F[280,x] = -F[301,x]+F[281,x]
F[281,x] = 1/F[22,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[284,x]+F[105,x]
F[284,x] = -F[285,x]+F[97,x]
F[285,x] = -F[293,x]+F[286,x]
F[286,x] = F[287,x]+F[291,x]
F[287,x] = F[288,x]+F[4,x]
F[288,x] = F[289,x]+F[47,x]
F[289,x] = -F[5,x]+F[290,x]
F[290,x] = -F[291,x]+F[106,x]
F[291,x] = F[292,x]
F[292,x] = F[102,x]*F[22,x]*F[228,x]
F[293,x] = F[294,x]+F[295,x]
F[294,x] = F[0,x]*F[249,x]
F[295,x] = F[296,x]
F[296,x] = F[102,x]*F[22,x]*F[297,x]
F[297,x] = F[291,x]+F[298,x]
F[298,x] = F[299,x]+F[300,x]
F[299,x] = F[249,x]*F[4,x]
F[300,x] = F[102,x]*F[288,x]
F[301,x] = F[302,x]+F[306,x]
F[302,x] = 1/F[22,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = -F[305,x]+F[290,x]
F[305,x] = F[2,x]*F[249,x]
F[306,x] = F[307,x]
F[307,x] = F[102,x]*F[22,x]*F[259,x]*F[99,x]
F[308,x] = F[309,x]
F[309,x] = F[102,x]*F[22,x]*F[272,x]*F[99,x]
F[310,x] = F[311,x]+F[312,x]
F[311,x] = -F[247,x]+F[286,x]
F[312,x] = F[103,x]*F[288,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right) F_{228}\! \left(x \right)
F_{12}\! \left(x \right) = F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{227}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{0}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{34}\! \left(x \right)
F_{30}\! \left(x \right) = F_{16}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{22}\! \left(x \right)}
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{18}\! \left(x \right)
F_{45}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{95}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{58}\! \left(x \right)
F_{51}\! \left(x \right) = F_{1}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{22}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{22}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{71}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{65}\! \left(x \right) = 0
F_{66}\! \left(x \right) = F_{22}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{22}\! \left(x \right)
F_{69}\! \left(x \right) = F_{64}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22}\! \left(x \right) F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)+F_{93}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{78}\! \left(x \right)
F_{74}\! \left(x \right) = F_{52}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{57}\! \left(x \right)+F_{65}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{22}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{55}\! \left(x \right)
F_{78}\! \left(x \right) = F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{65}\! \left(x \right)+F_{80}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{80}\! \left(x \right) = F_{22}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{75}\! \left(x \right)
F_{83}\! \left(x \right) = F_{79}\! \left(x \right)
F_{84}\! \left(x \right) = F_{22}\! \left(x \right) F_{71}\! \left(x \right)
F_{85}\! \left(x \right) = F_{22}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{64}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{84}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{22}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{56}\! \left(x \right)
F_{92}\! \left(x \right) = F_{88}\! \left(x \right)
F_{93}\! \left(x \right) = F_{22}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{58}\! \left(x \right)+F_{87}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{22}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{105}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{99}\! \left(x \right)
F_{102}\! \left(x \right) = F_{1}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{6}\! \left(x \right)
F_{108}\! \left(x \right) = F_{100}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{48}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{159}\! \left(x \right)+F_{65}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{22}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{122}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{22}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right)
F_{116}\! \left(x \right) = F_{113}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{120}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = x^{2}
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{114}\! \left(x \right) F_{22}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{134}\! \left(x \right)+F_{65}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{127}\! \left(x \right)
F_{126}\! \left(x \right) = F_{118}\! \left(x \right)+F_{22}\! \left(x \right)
F_{127}\! \left(x \right) = F_{123}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{129}\! \left(x \right)+F_{133}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{22}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{118}\! \left(x \right)
F_{132}\! \left(x \right) = F_{128}\! \left(x \right)
F_{133}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{134}\! \left(x \right) = F_{103}\! \left(x \right) F_{22}\! \left(x \right)
F_{135}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{136}\! \left(x \right)+F_{157}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{22}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{138}\! \left(x \right) = F_{114}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{121}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{22}\! \left(x \right)
F_{141}\! \left(x \right) = F_{117}\! \left(x \right)
F_{142}\! \left(x \right) = F_{135}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{144}\! \left(x \right)+F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{22}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{139}\! \left(x \right)
F_{147}\! \left(x \right) = F_{143}\! \left(x \right)
F_{148}\! \left(x \right) = F_{135}\! \left(x \right) F_{22}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{22}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{128}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = 3 F_{65}\! \left(x \right)+F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{22}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{156}\! \left(x \right)
F_{155}\! \left(x \right) = F_{120}\! \left(x \right)
F_{156}\! \left(x \right) = F_{152}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{22}\! \left(x \right)
F_{158}\! \left(x \right) = F_{122}\! \left(x \right)+F_{151}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{22}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{172}\! \left(x \right)
F_{161}\! \left(x \right) = F_{103}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{166}\! \left(x \right)+F_{65}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{22}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{22}\! \left(x \right)
F_{165}\! \left(x \right) = F_{134}\! \left(x \right)+F_{163}\! \left(x \right)+F_{65}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{22}\! \left(x \right)
F_{167}\! \left(x \right) = F_{161}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{134}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{162}\! \left(x \right) F_{22}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{184}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{22}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{103}\! \left(x \right)+F_{169}\! \left(x \right)
F_{177}\! \left(x \right) = F_{173}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{179}\! \left(x \right)+F_{183}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{22}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{182}\! \left(x \right)
F_{181}\! \left(x \right) = F_{169}\! \left(x \right)
F_{182}\! \left(x \right) = F_{178}\! \left(x \right)
F_{183}\! \left(x \right) = F_{173}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{185}\! \left(x \right)+F_{206}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{22}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{191}\! \left(x \right)
F_{187}\! \left(x \right) = F_{162}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{171}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{22}\! \left(x \right)
F_{190}\! \left(x \right) = F_{168}\! \left(x \right)
F_{191}\! \left(x \right) = F_{184}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{193}\! \left(x \right)+F_{197}\! \left(x \right)+F_{198}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{22}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)
F_{195}\! \left(x \right) = F_{188}\! \left(x \right)
F_{196}\! \left(x \right) = F_{192}\! \left(x \right)
F_{197}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{22}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{178}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = 3 F_{65}\! \left(x \right)+F_{197}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{22}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{170}\! \left(x \right)
F_{205}\! \left(x \right) = F_{201}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{22}\! \left(x \right)
F_{207}\! \left(x \right) = F_{172}\! \left(x \right)+F_{200}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{22}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{29}\! \left(x \right) F_{47}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{223}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{21}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{22}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{0}\! \left(x \right) F_{47}\! \left(x \right)
F_{225}\! \left(x \right) = F_{103}\! \left(x \right) F_{47}\! \left(x \right)
F_{226}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{227}\! \left(x \right) = F_{213}\! \left(x \right) F_{47}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{236}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{46}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{22}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{310}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{244}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{243}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{2}\! \left(x \right)
F_{243}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{244}\! \left(x \right) = F_{0}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{251}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{250}\! \left(x \right)
F_{249}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{250}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{99}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{22}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{267}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{8}\! \left(x \right)
F_{256}\! \left(x \right) = F_{2}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{22}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{4}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{6}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{22}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = \frac{F_{266}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{266}\! \left(x \right) = F_{230}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{273}\! \left(x \right)
F_{269}\! \left(x \right) = F_{2}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{22}\! \left(x \right) F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{230}\! \left(x \right)+F_{4}\! \left(x \right)
F_{273}\! \left(x \right) = F_{0}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{22}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{46}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{308}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{105}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{97}\! \left(x \right)
F_{285}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{291}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{4}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{47}\! \left(x \right)
F_{289}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = -F_{291}\! \left(x \right)+F_{106}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{228}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{295}\! \left(x \right)
F_{294}\! \left(x \right) = F_{0}\! \left(x \right) F_{249}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{291}\! \left(x \right)+F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{300}\! \left(x \right)
F_{299}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{300}\! \left(x \right) = F_{102}\! \left(x \right) F_{288}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{306}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{290}\! \left(x \right)
F_{305}\! \left(x \right) = F_{2}\! \left(x \right) F_{249}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{259}\! \left(x \right) F_{99}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{272}\! \left(x \right) F_{99}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{311}\! \left(x \right) = -F_{247}\! \left(x \right)+F_{286}\! \left(x \right)
F_{312}\! \left(x \right) = F_{103}\! \left(x \right) F_{288}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_22(x)*F_228(x))
Eq(F_12(x), F_0(x) + F_13(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_22(x))
Eq(F_15(x), F_12(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_23(x))
Eq(F_17(x), F_18(x) + F_2(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_21(x)/F_22(x))
Eq(F_21(x), F_2(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_22(x)*F_27(x))
Eq(F_27(x), F_227(x) + F_28(x))
Eq(F_28(x), F_0(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_34(x))
Eq(F_30(x), F_16(x) + F_31(x))
Eq(F_31(x), F_0(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_22(x)*F_29(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_22(x)*F_36(x))
Eq(F_36(x), F_37(x)/(F_0(x)**2*F_22(x)))
Eq(F_37(x), F_38(x))
Eq(F_38(x), -F_226(x) + F_39(x))
Eq(F_39(x), F_40(x)/F_22(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), -F_208(x) + F_42(x))
Eq(F_42(x), F_43(x) - F_45(x))
Eq(F_43(x), F_44(x)/F_22(x))
Eq(F_44(x), F_18(x))
Eq(F_45(x), F_2(x)*F_46(x))
Eq(F_46(x), F_0(x) + F_47(x))
Eq(F_47(x), F_48(x) + F_95(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_22(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_58(x))
Eq(F_51(x), F_1(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_22(x)*F_54(x))
Eq(F_54(x), F_51(x) + F_55(x))
Eq(F_55(x), F_22(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_22(x)*F_52(x))
Eq(F_58(x), F_59(x) + F_71(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_22(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_1(x) + F_22(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_66(x) + F_70(x))
Eq(F_65(x), 0)
Eq(F_66(x), F_22(x)*F_67(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_22(x))
Eq(F_69(x), F_64(x))
Eq(F_70(x), F_22(x)*F_59(x))
Eq(F_71(x), F_65(x) + F_72(x) + F_93(x))
Eq(F_72(x), F_22(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_78(x))
Eq(F_74(x), F_52(x) + F_75(x))
Eq(F_75(x), F_57(x) + F_65(x) + F_76(x))
Eq(F_76(x), F_22(x)*F_77(x))
Eq(F_77(x), F_55(x))
Eq(F_78(x), F_71(x) + F_79(x))
Eq(F_79(x), F_65(x) + F_80(x) + F_84(x) + F_85(x))
Eq(F_80(x), F_22(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_75(x))
Eq(F_83(x), F_79(x))
Eq(F_84(x), F_22(x)*F_71(x))
Eq(F_85(x), F_22(x)*F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_64(x) + F_88(x))
Eq(F_88(x), 2*F_65(x) + F_84(x) + F_89(x))
Eq(F_89(x), F_22(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_56(x))
Eq(F_92(x), F_88(x))
Eq(F_93(x), F_22(x)*F_94(x))
Eq(F_94(x), F_58(x) + F_87(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_22(x)*F_97(x))
Eq(F_97(x), F_105(x) + F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_2(x) + F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x)*F_99(x))
Eq(F_102(x), F_1(x) + F_103(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_102(x)*F_22(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_22(x))
Eq(F_107(x), F_6(x))
Eq(F_108(x), F_100(x) + F_109(x))
Eq(F_109(x), F_110(x) + F_48(x))
Eq(F_110(x), F_111(x) + F_159(x) + F_65(x))
Eq(F_111(x), F_112(x)*F_22(x))
Eq(F_112(x), F_113(x) + F_122(x))
Eq(F_113(x), F_114(x) + F_22(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_22(x))
Eq(F_116(x), F_113(x) + F_117(x))
Eq(F_117(x), F_118(x) + F_120(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), x**2)
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_114(x)*F_22(x))
Eq(F_122(x), F_123(x) + F_135(x))
Eq(F_123(x), F_124(x) + F_134(x) + F_65(x))
Eq(F_124(x), F_125(x)*F_22(x))
Eq(F_125(x), F_126(x) + F_127(x))
Eq(F_126(x), F_118(x) + F_22(x))
Eq(F_127(x), F_123(x) + F_128(x))
Eq(F_128(x), F_129(x) + F_133(x) + 2*F_65(x))
Eq(F_129(x), F_130(x)*F_22(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_118(x))
Eq(F_132(x), F_128(x))
Eq(F_133(x), F_123(x)*F_22(x))
Eq(F_134(x), F_103(x)*F_22(x))
Eq(F_135(x), F_136(x) + F_157(x) + 2*F_65(x))
Eq(F_136(x), F_137(x)*F_22(x))
Eq(F_137(x), F_138(x) + F_142(x))
Eq(F_138(x), F_114(x) + F_139(x))
Eq(F_139(x), F_121(x) + F_140(x) + 2*F_65(x))
Eq(F_140(x), F_141(x)*F_22(x))
Eq(F_141(x), F_117(x))
Eq(F_142(x), F_135(x) + F_143(x))
Eq(F_143(x), F_144(x) + F_148(x) + F_149(x) + 2*F_65(x))
Eq(F_144(x), F_145(x)*F_22(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_139(x))
Eq(F_147(x), F_143(x))
Eq(F_148(x), F_135(x)*F_22(x))
Eq(F_149(x), F_150(x)*F_22(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_128(x) + F_152(x))
Eq(F_152(x), F_148(x) + F_153(x) + 3*F_65(x))
Eq(F_153(x), F_154(x)*F_22(x))
Eq(F_154(x), F_155(x) + F_156(x))
Eq(F_155(x), F_120(x))
Eq(F_156(x), F_152(x))
Eq(F_157(x), F_158(x)*F_22(x))
Eq(F_158(x), F_122(x) + F_151(x))
Eq(F_159(x), F_160(x)*F_22(x))
Eq(F_160(x), F_161(x) + F_172(x))
Eq(F_161(x), F_103(x) + F_162(x))
Eq(F_162(x), F_163(x) + F_166(x) + F_65(x))
Eq(F_163(x), F_164(x)*F_22(x))
Eq(F_164(x), F_165(x) + F_22(x))
Eq(F_165(x), F_134(x) + F_163(x) + F_65(x))
Eq(F_166(x), F_167(x)*F_22(x))
Eq(F_167(x), F_161(x) + F_168(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_134(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_162(x)*F_22(x))
Eq(F_172(x), F_173(x) + F_184(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_175(x)*F_22(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_103(x) + F_169(x))
Eq(F_177(x), F_173(x) + F_178(x))
Eq(F_178(x), F_179(x) + F_183(x) + 2*F_65(x))
Eq(F_179(x), F_180(x)*F_22(x))
Eq(F_180(x), F_181(x) + F_182(x))
Eq(F_181(x), F_169(x))
Eq(F_182(x), F_178(x))
Eq(F_183(x), F_173(x)*F_22(x))
Eq(F_184(x), F_185(x) + F_206(x) + 2*F_65(x))
Eq(F_185(x), F_186(x)*F_22(x))
Eq(F_186(x), F_187(x) + F_191(x))
Eq(F_187(x), F_162(x) + F_188(x))
Eq(F_188(x), F_171(x) + F_189(x) + 2*F_65(x))
Eq(F_189(x), F_190(x)*F_22(x))
Eq(F_190(x), F_168(x))
Eq(F_191(x), F_184(x) + F_192(x))
Eq(F_192(x), F_193(x) + F_197(x) + F_198(x) + 2*F_65(x))
Eq(F_193(x), F_194(x)*F_22(x))
Eq(F_194(x), F_195(x) + F_196(x))
Eq(F_195(x), F_188(x))
Eq(F_196(x), F_192(x))
Eq(F_197(x), F_184(x)*F_22(x))
Eq(F_198(x), F_199(x)*F_22(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_178(x) + F_201(x))
Eq(F_201(x), F_197(x) + F_202(x) + 3*F_65(x))
Eq(F_202(x), F_203(x)*F_22(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_170(x))
Eq(F_205(x), F_201(x))
Eq(F_206(x), F_207(x)*F_22(x))
Eq(F_207(x), F_172(x) + F_200(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_210(x)*F_22(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_29(x)*F_47(x))
Eq(F_212(x), F_213(x)*F_223(x))
Eq(F_213(x), F_214(x)/F_22(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_217(x))
Eq(F_216(x), F_21(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x)*F_22(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_22(x)*F_29(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_22(x)*F_36(x))
Eq(F_223(x), F_224(x) + F_225(x))
Eq(F_224(x), F_0(x)*F_47(x))
Eq(F_225(x), F_103(x)*F_47(x))
Eq(F_226(x), F_0(x)**2*F_30(x))
Eq(F_227(x), F_213(x)*F_47(x))
Eq(F_228(x), F_229(x)/F_22(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_236(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x)*F_46(x))
Eq(F_235(x), F_0(x)*F_17(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_22(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_310(x))
Eq(F_239(x), F_240(x) + F_244(x))
Eq(F_240(x), F_241(x)*F_243(x))
Eq(F_241(x), F_242(x)/F_22(x))
Eq(F_242(x), F_2(x))
Eq(F_243(x), F_2(x) + F_6(x))
Eq(F_244(x), F_0(x)*F_245(x))
Eq(F_245(x), F_246(x) - F_47(x))
Eq(F_246(x), F_247(x) - F_4(x))
Eq(F_247(x), F_248(x) + F_251(x))
Eq(F_248(x), F_249(x) + F_250(x))
Eq(F_249(x), F_1(x) + F_48(x))
Eq(F_250(x), F_2(x)*F_62(x))
Eq(F_251(x), F_252(x) + F_99(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_22(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_267(x))
Eq(F_255(x), F_256(x) + F_8(x))
Eq(F_256(x), F_2(x)*F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_22(x)*F_259(x))
Eq(F_259(x), F_260(x) + F_4(x))
Eq(F_260(x), F_261(x) - F_263(x))
Eq(F_261(x), F_262(x)/F_22(x))
Eq(F_262(x), F_6(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_22(x)*F_265(x))
Eq(F_265(x), F_266(x)/F_22(x))
Eq(F_266(x), F_230(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_269(x) + F_273(x))
Eq(F_269(x), F_2(x)*F_270(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_22(x)*F_272(x))
Eq(F_272(x), F_230(x) + F_4(x))
Eq(F_273(x), F_0(x)*F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_22(x)*F_276(x))
Eq(F_276(x), F_277(x)/(F_102(x)*F_22(x)*F_46(x)))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_279(x) - F_308(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_281(x) - F_301(x))
Eq(F_281(x), F_282(x)/F_22(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_105(x) - F_284(x))
Eq(F_284(x), -F_285(x) + F_97(x))
Eq(F_285(x), F_286(x) - F_293(x))
Eq(F_286(x), F_287(x) + F_291(x))
Eq(F_287(x), F_288(x) + F_4(x))
Eq(F_288(x), F_289(x) + F_47(x))
Eq(F_289(x), F_290(x) - F_5(x))
Eq(F_290(x), F_106(x) - F_291(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_102(x)*F_22(x)*F_228(x))
Eq(F_293(x), F_294(x) + F_295(x))
Eq(F_294(x), F_0(x)*F_249(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_102(x)*F_22(x)*F_297(x))
Eq(F_297(x), F_291(x) + F_298(x))
Eq(F_298(x), F_299(x) + F_300(x))
Eq(F_299(x), F_249(x)*F_4(x))
Eq(F_300(x), F_102(x)*F_288(x))
Eq(F_301(x), F_302(x) + F_306(x))
Eq(F_302(x), F_303(x)/F_22(x))
Eq(F_303(x), F_304(x))
Eq(F_304(x), F_290(x) - F_305(x))
Eq(F_305(x), F_2(x)*F_249(x))
Eq(F_306(x), F_307(x))
Eq(F_307(x), F_102(x)*F_22(x)*F_259(x)*F_99(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_102(x)*F_22(x)*F_272(x)*F_99(x))
Eq(F_310(x), F_311(x) + F_312(x))
Eq(F_311(x), -F_247(x) + F_286(x))
Eq(F_312(x), F_103(x)*F_288(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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"assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25366/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[20,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[20,x]*F[228,x]
F[12,x] = F[0,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[20,x]
F[15,x] = F[12,x]+F[16,x]
F[16,x] = F[17,x]+F[21,x]
F[17,x] = -F[0,x]+F[18,x]
F[18,x] = 1/F[20,x]*F[19,x]
F[19,x] = F[2,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[20,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]*F[25,x]
F[25,x] = F[227,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = F[28,x]+F[32,x]
F[28,x] = F[16,x]+F[29,x]
F[29,x] = F[0,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[20,x]*F[27,x]
F[32,x] = F[33,x]
F[33,x] = F[20,x]*F[34,x]
F[34,x] = 1/F[0,x]^2/F[20,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = -F[226,x]+F[37,x]
F[37,x] = 1/F[20,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = -F[207,x]+F[40,x]
F[40,x] = -F[44,x]+F[41,x]
F[41,x] = 1/F[20,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[2,x]+F[17,x]
F[44,x] = F[2,x]*F[45,x]
F[45,x] = F[46,x]+F[94,x]
F[46,x] = F[1,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[20,x]*F[49,x]
F[49,x] = F[50,x]+F[57,x]
F[50,x] = F[1,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[20,x]*F[53,x]
F[53,x] = F[50,x]+F[54,x]
F[54,x] = F[20,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[20,x]*F[51,x]
F[57,x] = F[58,x]+F[70,x]
F[58,x] = F[59,x]
F[59,x] = F[20,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[1,x]+F[20,x]
F[62,x] = F[58,x]+F[63,x]
F[63,x] = F[64,x]+F[65,x]+F[69,x]
F[64,x] = 0
F[65,x] = F[20,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[20,x]
F[68,x] = F[63,x]
F[69,x] = F[20,x]*F[58,x]
F[70,x] = F[64,x]+F[71,x]+F[92,x]
F[71,x] = F[20,x]*F[72,x]
F[72,x] = F[73,x]+F[77,x]
F[73,x] = F[51,x]+F[74,x]
F[74,x] = F[56,x]+F[64,x]+F[75,x]
F[75,x] = F[20,x]*F[76,x]
F[76,x] = F[54,x]
F[77,x] = F[70,x]+F[78,x]
F[78,x] = F[64,x]+F[79,x]+F[83,x]+F[84,x]
F[79,x] = F[20,x]*F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[74,x]
F[82,x] = F[78,x]
F[83,x] = F[20,x]*F[70,x]
F[84,x] = F[20,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[63,x]+F[87,x]
F[87,x] = 2*F[64,x]+F[83,x]+F[88,x]
F[88,x] = F[20,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[55,x]
F[91,x] = F[87,x]
F[92,x] = F[20,x]*F[93,x]
F[93,x] = F[57,x]+F[86,x]
F[94,x] = F[2,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[20,x]*F[97,x]
F[97,x] = F[104,x]+F[98,x]
F[98,x] = F[94,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[20,x]*F[94,x]
F[101,x] = F[1,x]+F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[101,x]*F[20,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[20,x]*F[106,x]
F[106,x] = F[6,x]
F[107,x] = F[108,x]+F[99,x]
F[108,x] = F[109,x]+F[47,x]
F[109,x] = F[110,x]+F[158,x]+F[64,x]
F[110,x] = F[111,x]*F[20,x]
F[111,x] = F[112,x]+F[121,x]
F[112,x] = F[113,x]+F[20,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[20,x]
F[115,x] = F[112,x]+F[116,x]
F[116,x] = F[117,x]+F[119,x]
F[117,x] = F[118,x]
F[118,x] = x^2
F[119,x] = F[120,x]
F[120,x] = F[113,x]*F[20,x]
F[121,x] = F[122,x]+F[134,x]
F[122,x] = F[123,x]+F[133,x]+F[64,x]
F[123,x] = F[124,x]*F[20,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[117,x]+F[20,x]
F[126,x] = F[122,x]+F[127,x]
F[127,x] = 2*F[64,x]+F[128,x]+F[132,x]
F[128,x] = F[129,x]*F[20,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[117,x]
F[131,x] = F[127,x]
F[132,x] = F[122,x]*F[20,x]
F[133,x] = F[102,x]*F[20,x]
F[134,x] = 2*F[64,x]+F[135,x]+F[156,x]
F[135,x] = F[136,x]*F[20,x]
F[136,x] = F[137,x]+F[141,x]
F[137,x] = F[113,x]+F[138,x]
F[138,x] = 2*F[64,x]+F[120,x]+F[139,x]
F[139,x] = F[140,x]*F[20,x]
F[140,x] = F[116,x]
F[141,x] = F[134,x]+F[142,x]
F[142,x] = 2*F[64,x]+F[143,x]+F[147,x]+F[148,x]
F[143,x] = F[144,x]*F[20,x]
F[144,x] = F[145,x]+F[146,x]
F[145,x] = F[138,x]
F[146,x] = F[142,x]
F[147,x] = F[134,x]*F[20,x]
F[148,x] = F[149,x]*F[20,x]
F[149,x] = F[150,x]
F[150,x] = F[127,x]+F[151,x]
F[151,x] = 3*F[64,x]+F[147,x]+F[152,x]
F[152,x] = F[153,x]*F[20,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[119,x]
F[155,x] = F[151,x]
F[156,x] = F[157,x]*F[20,x]
F[157,x] = F[121,x]+F[150,x]
F[158,x] = F[159,x]*F[20,x]
F[159,x] = F[160,x]+F[171,x]
F[160,x] = F[102,x]+F[161,x]
F[161,x] = F[162,x]+F[165,x]+F[64,x]
F[162,x] = F[163,x]*F[20,x]
F[163,x] = F[164,x]+F[20,x]
F[164,x] = F[133,x]+F[162,x]+F[64,x]
F[165,x] = F[166,x]*F[20,x]
F[166,x] = F[160,x]+F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[133,x]
F[169,x] = F[170,x]
F[170,x] = F[161,x]*F[20,x]
F[171,x] = F[172,x]+F[183,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[20,x]
F[174,x] = F[175,x]+F[176,x]
F[175,x] = F[102,x]+F[168,x]
F[176,x] = F[172,x]+F[177,x]
F[177,x] = 2*F[64,x]+F[178,x]+F[182,x]
F[178,x] = F[179,x]*F[20,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[168,x]
F[181,x] = F[177,x]
F[182,x] = F[172,x]*F[20,x]
F[183,x] = 2*F[64,x]+F[184,x]+F[205,x]
F[184,x] = F[185,x]*F[20,x]
F[185,x] = F[186,x]+F[190,x]
F[186,x] = F[161,x]+F[187,x]
F[187,x] = 2*F[64,x]+F[170,x]+F[188,x]
F[188,x] = F[189,x]*F[20,x]
F[189,x] = F[167,x]
F[190,x] = F[183,x]+F[191,x]
F[191,x] = 2*F[64,x]+F[192,x]+F[196,x]+F[197,x]
F[192,x] = F[193,x]*F[20,x]
F[193,x] = F[194,x]+F[195,x]
F[194,x] = F[187,x]
F[195,x] = F[191,x]
F[196,x] = F[183,x]*F[20,x]
F[197,x] = F[198,x]*F[20,x]
F[198,x] = F[199,x]
F[199,x] = F[177,x]+F[200,x]
F[200,x] = 3*F[64,x]+F[196,x]+F[201,x]
F[201,x] = F[20,x]*F[202,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[169,x]
F[204,x] = F[200,x]
F[205,x] = F[20,x]*F[206,x]
F[206,x] = F[171,x]+F[199,x]
F[207,x] = F[208,x]
F[208,x] = F[20,x]*F[209,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]*F[27,x]
F[211,x] = F[47,x]+F[95,x]
F[212,x] = F[213,x]*F[223,x]
F[213,x] = 1/F[20,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[217,x]
F[216,x] = F[19,x]
F[217,x] = F[218,x]
F[218,x] = F[20,x]*F[219,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[20,x]*F[27,x]
F[221,x] = F[222,x]
F[222,x] = F[20,x]*F[34,x]
F[223,x] = F[224,x]+F[225,x]
F[224,x] = F[0,x]*F[211,x]
F[225,x] = F[102,x]*F[211,x]
F[226,x] = F[0,x]^2*F[28,x]
F[227,x] = F[211,x]*F[213,x]
F[228,x] = 1/F[20,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[236,x]
F[231,x] = F[232,x]
F[232,x] = F[20,x]*F[233,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]*F[45,x]
F[235,x] = F[0,x]*F[17,x]
F[236,x] = F[237,x]
F[237,x] = F[20,x]*F[238,x]
F[238,x] = F[239,x]+F[306,x]
F[239,x] = F[240,x]+F[243,x]
F[240,x] = F[241,x]*F[5,x]
F[241,x] = 1/F[20,x]*F[242,x]
F[242,x] = F[2,x]
F[243,x] = F[0,x]*F[244,x]
F[244,x] = -F[5,x]+F[245,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[2,x]*F[61,x]
F[247,x] = F[248,x]
F[248,x] = F[20,x]*F[249,x]
F[249,x] = F[250,x]+F[262,x]
F[250,x] = F[251,x]+F[8,x]
F[251,x] = F[2,x]*F[252,x]
F[252,x] = F[253,x]
F[253,x] = F[20,x]*F[254,x]
F[254,x] = F[255,x]+F[4,x]
F[255,x] = -F[258,x]+F[256,x]
F[256,x] = 1/F[20,x]*F[257,x]
F[257,x] = F[6,x]
F[258,x] = F[259,x]
F[259,x] = F[20,x]*F[260,x]
F[260,x] = 1/F[20,x]*F[261,x]
F[261,x] = F[230,x]
F[262,x] = F[263,x]
F[263,x] = F[264,x]+F[268,x]
F[264,x] = F[2,x]*F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[20,x]*F[267,x]
F[267,x] = F[230,x]+F[4,x]
F[268,x] = F[0,x]*F[269,x]
F[269,x] = F[270,x]
F[270,x] = F[20,x]*F[271,x]
F[271,x] = 1/F[101,x]/F[20,x]/F[45,x]*F[272,x]
F[272,x] = F[273,x]
F[273,x] = -F[304,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = -F[297,x]+F[276,x]
F[276,x] = 1/F[20,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[279,x]+F[104,x]
F[279,x] = -F[280,x]+F[97,x]
F[280,x] = -F[286,x]+F[281,x]
F[281,x] = F[282,x]+F[284,x]
F[282,x] = F[283,x]+F[45,x]
F[283,x] = -F[284,x]+F[105,x]
F[284,x] = F[285,x]
F[285,x] = F[101,x]*F[20,x]*F[228,x]
F[286,x] = F[287,x]+F[288,x]
F[287,x] = F[0,x]*F[46,x]
F[288,x] = F[289,x]
F[289,x] = F[101,x]*F[20,x]*F[290,x]
F[290,x] = F[284,x]+F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[4,x]*F[46,x]
F[293,x] = F[101,x]*F[294,x]
F[294,x] = F[211,x]+F[295,x]
F[295,x] = -F[296,x]+F[283,x]
F[296,x] = F[2,x]+F[6,x]
F[297,x] = F[298,x]+F[302,x]
F[298,x] = 1/F[20,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = -F[301,x]+F[283,x]
F[301,x] = F[2,x]*F[46,x]
F[302,x] = F[303,x]
F[303,x] = F[101,x]*F[20,x]*F[254,x]*F[94,x]
F[304,x] = F[305,x]
F[305,x] = F[101,x]*F[20,x]*F[267,x]*F[94,x]
F[306,x] = F[307,x]+F[309,x]
F[307,x] = -F[308,x]+F[281,x]
F[308,x] = F[245,x]+F[45,x]
F[309,x] = F[102,x]*F[294,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{228}\! \left(x \right)
F_{12}\! \left(x \right) = F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{21}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{227}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{32}\! \left(x \right)
F_{28}\! \left(x \right) = F_{16}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{0}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{20}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{17}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{94}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{20}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{57}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{20}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{50}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{20}\! \left(x \right) F_{51}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{70}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{20}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{62}\! \left(x \right) = F_{58}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = 0
F_{65}\! \left(x \right) = F_{20}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{20}\! \left(x \right)
F_{68}\! \left(x \right) = F_{63}\! \left(x \right)
F_{69}\! \left(x \right) = F_{20}\! \left(x \right) F_{58}\! \left(x \right)
F_{70}\! \left(x \right) = F_{64}\! \left(x \right)+F_{71}\! \left(x \right)+F_{92}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{56}\! \left(x \right)+F_{64}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{20}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)
F_{77}\! \left(x \right) = F_{70}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{64}\! \left(x \right)+F_{79}\! \left(x \right)+F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{74}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{20}\! \left(x \right) F_{70}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{63}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{83}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{20}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{55}\! \left(x \right)
F_{91}\! \left(x \right) = F_{87}\! \left(x \right)
F_{92}\! \left(x \right) = F_{20}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{57}\! \left(x \right)+F_{86}\! \left(x \right)
F_{94}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{20}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{104}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{94}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{94}\! \left(x \right)
F_{101}\! \left(x \right) = F_{1}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{6}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{99}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{47}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{158}\! \left(x \right)+F_{64}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{20}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{121}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{20}\! \left(x \right)
F_{115}\! \left(x \right) = F_{112}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{119}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = x^{2}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{113}\! \left(x \right) F_{20}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{134}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{133}\! \left(x \right)+F_{64}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{20}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{117}\! \left(x \right)+F_{20}\! \left(x \right)
F_{126}\! \left(x \right) = F_{122}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{128}\! \left(x \right)+F_{132}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{20}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{117}\! \left(x \right)
F_{131}\! \left(x \right) = F_{127}\! \left(x \right)
F_{132}\! \left(x \right) = F_{122}\! \left(x \right) F_{20}\! \left(x \right)
F_{133}\! \left(x \right) = F_{102}\! \left(x \right) F_{20}\! \left(x \right)
F_{134}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{135}\! \left(x \right)+F_{156}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{20}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{141}\! \left(x \right)
F_{137}\! \left(x \right) = F_{113}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{120}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{20}\! \left(x \right)
F_{140}\! \left(x \right) = F_{116}\! \left(x \right)
F_{141}\! \left(x \right) = F_{134}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{143}\! \left(x \right)+F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{20}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{146}\! \left(x \right)
F_{145}\! \left(x \right) = F_{138}\! \left(x \right)
F_{146}\! \left(x \right) = F_{142}\! \left(x \right)
F_{147}\! \left(x \right) = F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{20}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{127}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = 3 F_{64}\! \left(x \right)+F_{147}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{20}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{119}\! \left(x \right)
F_{155}\! \left(x \right) = F_{151}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{20}\! \left(x \right)
F_{157}\! \left(x \right) = F_{121}\! \left(x \right)+F_{150}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{20}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{171}\! \left(x \right)
F_{160}\! \left(x \right) = F_{102}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{165}\! \left(x \right)+F_{64}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{20}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{20}\! \left(x \right)
F_{164}\! \left(x \right) = F_{133}\! \left(x \right)+F_{162}\! \left(x \right)+F_{64}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{20}\! \left(x \right)
F_{166}\! \left(x \right) = F_{160}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{133}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{161}\! \left(x \right) F_{20}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{183}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{20}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{176}\! \left(x \right)
F_{175}\! \left(x \right) = F_{102}\! \left(x \right)+F_{168}\! \left(x \right)
F_{176}\! \left(x \right) = F_{172}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{178}\! \left(x \right)+F_{182}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{20}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{168}\! \left(x \right)
F_{181}\! \left(x \right) = F_{177}\! \left(x \right)
F_{182}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right)
F_{183}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{184}\! \left(x \right)+F_{205}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{20}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{190}\! \left(x \right)
F_{186}\! \left(x \right) = F_{161}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{170}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{20}\! \left(x \right)
F_{189}\! \left(x \right) = F_{167}\! \left(x \right)
F_{190}\! \left(x \right) = F_{183}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{192}\! \left(x \right)+F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{195}\! \left(x \right)
F_{194}\! \left(x \right) = F_{187}\! \left(x \right)
F_{195}\! \left(x \right) = F_{191}\! \left(x \right)
F_{196}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{20}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{177}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = 3 F_{64}\! \left(x \right)+F_{196}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{20}\! \left(x \right) F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{169}\! \left(x \right)
F_{204}\! \left(x \right) = F_{200}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{171}\! \left(x \right)+F_{199}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{20}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{27}\! \left(x \right)
F_{211}\! \left(x \right) = F_{47}\! \left(x \right)+F_{95}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{223}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{19}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{20}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{0}\! \left(x \right) F_{211}\! \left(x \right)
F_{225}\! \left(x \right) = F_{102}\! \left(x \right) F_{211}\! \left(x \right)
F_{226}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{28}\! \left(x \right)
F_{227}\! \left(x \right) = F_{211}\! \left(x \right) F_{213}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{236}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{20}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{45}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{20}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{306}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{243}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{2}\! \left(x \right)
F_{243}\! \left(x \right) = F_{0}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{20}\! \left(x \right) F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{262}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{8}\! \left(x \right)
F_{251}\! \left(x \right) = F_{2}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{20}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{6}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{20}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{230}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{268}\! \left(x \right)
F_{264}\! \left(x \right) = F_{2}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{20}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{230}\! \left(x \right)+F_{4}\! \left(x \right)
F_{268}\! \left(x \right) = F_{0}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{20}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = \frac{F_{272}\! \left(x \right)}{F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{45}\! \left(x \right)}
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = -F_{297}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{279}\! \left(x \right)+F_{104}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{280}\! \left(x \right)+F_{97}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{286}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{284}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{45}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{105}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{228}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{288}\! \left(x \right)
F_{287}\! \left(x \right) = F_{0}\! \left(x \right) F_{46}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{284}\! \left(x \right)+F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{293}\! \left(x \right)
F_{292}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{293}\! \left(x \right) = F_{101}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{211}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{296}\! \left(x \right)+F_{283}\! \left(x \right)
F_{296}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{302}\! \left(x \right)
F_{298}\! \left(x \right) = \frac{F_{299}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{283}\! \left(x \right)
F_{301}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{254}\! \left(x \right) F_{94}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{267}\! \left(x \right) F_{94}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{309}\! \left(x \right)
F_{307}\! \left(x \right) = -F_{308}\! \left(x \right)+F_{281}\! \left(x \right)
F_{308}\! \left(x \right) = F_{245}\! \left(x \right)+F_{45}\! \left(x \right)
F_{309}\! \left(x \right) = F_{102}\! \left(x \right) F_{294}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_20(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_20(x)*F_228(x))
Eq(F_12(x), F_0(x) + F_13(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_20(x))
Eq(F_15(x), F_12(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_21(x))
Eq(F_17(x), -F_0(x) + F_18(x))
Eq(F_18(x), F_19(x)/F_20(x))
Eq(F_19(x), F_2(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_20(x)*F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_20(x)*F_25(x))
Eq(F_25(x), F_227(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_32(x))
Eq(F_28(x), F_16(x) + F_29(x))
Eq(F_29(x), F_0(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_20(x)*F_27(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_20(x)*F_34(x))
Eq(F_34(x), F_35(x)/(F_0(x)**2*F_20(x)))
Eq(F_35(x), F_36(x))
Eq(F_36(x), -F_226(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_20(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), -F_207(x) + F_40(x))
Eq(F_40(x), F_41(x) - F_44(x))
Eq(F_41(x), F_42(x)/F_20(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_17(x) - F_2(x))
Eq(F_44(x), F_2(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_94(x))
Eq(F_46(x), F_1(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_20(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_57(x))
Eq(F_50(x), F_1(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_20(x)*F_53(x))
Eq(F_53(x), F_50(x) + F_54(x))
Eq(F_54(x), F_20(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_20(x)*F_51(x))
Eq(F_57(x), F_58(x) + F_70(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_20(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_1(x) + F_20(x))
Eq(F_62(x), F_58(x) + F_63(x))
Eq(F_63(x), F_64(x) + F_65(x) + F_69(x))
Eq(F_64(x), 0)
Eq(F_65(x), F_20(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_20(x))
Eq(F_68(x), F_63(x))
Eq(F_69(x), F_20(x)*F_58(x))
Eq(F_70(x), F_64(x) + F_71(x) + F_92(x))
Eq(F_71(x), F_20(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_77(x))
Eq(F_73(x), F_51(x) + F_74(x))
Eq(F_74(x), F_56(x) + F_64(x) + F_75(x))
Eq(F_75(x), F_20(x)*F_76(x))
Eq(F_76(x), F_54(x))
Eq(F_77(x), F_70(x) + F_78(x))
Eq(F_78(x), F_64(x) + F_79(x) + F_83(x) + F_84(x))
Eq(F_79(x), F_20(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_74(x))
Eq(F_82(x), F_78(x))
Eq(F_83(x), F_20(x)*F_70(x))
Eq(F_84(x), F_20(x)*F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_63(x) + F_87(x))
Eq(F_87(x), 2*F_64(x) + F_83(x) + F_88(x))
Eq(F_88(x), F_20(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_55(x))
Eq(F_91(x), F_87(x))
Eq(F_92(x), F_20(x)*F_93(x))
Eq(F_93(x), F_57(x) + F_86(x))
Eq(F_94(x), F_2(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_20(x)*F_97(x))
Eq(F_97(x), F_104(x) + F_98(x))
Eq(F_98(x), F_94(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_20(x)*F_94(x))
Eq(F_101(x), F_1(x) + F_102(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_101(x)*F_20(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_20(x))
Eq(F_106(x), F_6(x))
Eq(F_107(x), F_108(x) + F_99(x))
Eq(F_108(x), F_109(x) + F_47(x))
Eq(F_109(x), F_110(x) + F_158(x) + F_64(x))
Eq(F_110(x), F_111(x)*F_20(x))
Eq(F_111(x), F_112(x) + F_121(x))
Eq(F_112(x), F_113(x) + F_20(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_20(x))
Eq(F_115(x), F_112(x) + F_116(x))
Eq(F_116(x), F_117(x) + F_119(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), x**2)
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_113(x)*F_20(x))
Eq(F_121(x), F_122(x) + F_134(x))
Eq(F_122(x), F_123(x) + F_133(x) + F_64(x))
Eq(F_123(x), F_124(x)*F_20(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_117(x) + F_20(x))
Eq(F_126(x), F_122(x) + F_127(x))
Eq(F_127(x), F_128(x) + F_132(x) + 2*F_64(x))
Eq(F_128(x), F_129(x)*F_20(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_117(x))
Eq(F_131(x), F_127(x))
Eq(F_132(x), F_122(x)*F_20(x))
Eq(F_133(x), F_102(x)*F_20(x))
Eq(F_134(x), F_135(x) + F_156(x) + 2*F_64(x))
Eq(F_135(x), F_136(x)*F_20(x))
Eq(F_136(x), F_137(x) + F_141(x))
Eq(F_137(x), F_113(x) + F_138(x))
Eq(F_138(x), F_120(x) + F_139(x) + 2*F_64(x))
Eq(F_139(x), F_140(x)*F_20(x))
Eq(F_140(x), F_116(x))
Eq(F_141(x), F_134(x) + F_142(x))
Eq(F_142(x), F_143(x) + F_147(x) + F_148(x) + 2*F_64(x))
Eq(F_143(x), F_144(x)*F_20(x))
Eq(F_144(x), F_145(x) + F_146(x))
Eq(F_145(x), F_138(x))
Eq(F_146(x), F_142(x))
Eq(F_147(x), F_134(x)*F_20(x))
Eq(F_148(x), F_149(x)*F_20(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_127(x) + F_151(x))
Eq(F_151(x), F_147(x) + F_152(x) + 3*F_64(x))
Eq(F_152(x), F_153(x)*F_20(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_119(x))
Eq(F_155(x), F_151(x))
Eq(F_156(x), F_157(x)*F_20(x))
Eq(F_157(x), F_121(x) + F_150(x))
Eq(F_158(x), F_159(x)*F_20(x))
Eq(F_159(x), F_160(x) + F_171(x))
Eq(F_160(x), F_102(x) + F_161(x))
Eq(F_161(x), F_162(x) + F_165(x) + F_64(x))
Eq(F_162(x), F_163(x)*F_20(x))
Eq(F_163(x), F_164(x) + F_20(x))
Eq(F_164(x), F_133(x) + F_162(x) + F_64(x))
Eq(F_165(x), F_166(x)*F_20(x))
Eq(F_166(x), F_160(x) + F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_133(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_161(x)*F_20(x))
Eq(F_171(x), F_172(x) + F_183(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_20(x))
Eq(F_174(x), F_175(x) + F_176(x))
Eq(F_175(x), F_102(x) + F_168(x))
Eq(F_176(x), F_172(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_182(x) + 2*F_64(x))
Eq(F_178(x), F_179(x)*F_20(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_168(x))
Eq(F_181(x), F_177(x))
Eq(F_182(x), F_172(x)*F_20(x))
Eq(F_183(x), F_184(x) + F_205(x) + 2*F_64(x))
Eq(F_184(x), F_185(x)*F_20(x))
Eq(F_185(x), F_186(x) + F_190(x))
Eq(F_186(x), F_161(x) + F_187(x))
Eq(F_187(x), F_170(x) + F_188(x) + 2*F_64(x))
Eq(F_188(x), F_189(x)*F_20(x))
Eq(F_189(x), F_167(x))
Eq(F_190(x), F_183(x) + F_191(x))
Eq(F_191(x), F_192(x) + F_196(x) + F_197(x) + 2*F_64(x))
Eq(F_192(x), F_193(x)*F_20(x))
Eq(F_193(x), F_194(x) + F_195(x))
Eq(F_194(x), F_187(x))
Eq(F_195(x), F_191(x))
Eq(F_196(x), F_183(x)*F_20(x))
Eq(F_197(x), F_198(x)*F_20(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_177(x) + F_200(x))
Eq(F_200(x), F_196(x) + F_201(x) + 3*F_64(x))
Eq(F_201(x), F_20(x)*F_202(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_169(x))
Eq(F_204(x), F_200(x))
Eq(F_205(x), F_20(x)*F_206(x))
Eq(F_206(x), F_171(x) + F_199(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_20(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x)*F_27(x))
Eq(F_211(x), F_47(x) + F_95(x))
Eq(F_212(x), F_213(x)*F_223(x))
Eq(F_213(x), F_214(x)/F_20(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_217(x))
Eq(F_216(x), F_19(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_20(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_20(x)*F_27(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_20(x)*F_34(x))
Eq(F_223(x), F_224(x) + F_225(x))
Eq(F_224(x), F_0(x)*F_211(x))
Eq(F_225(x), F_102(x)*F_211(x))
Eq(F_226(x), F_0(x)**2*F_28(x))
Eq(F_227(x), F_211(x)*F_213(x))
Eq(F_228(x), F_229(x)/F_20(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_236(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_20(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x)*F_45(x))
Eq(F_235(x), F_0(x)*F_17(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_20(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_306(x))
Eq(F_239(x), F_240(x) + F_243(x))
Eq(F_240(x), F_241(x)*F_5(x))
Eq(F_241(x), F_242(x)/F_20(x))
Eq(F_242(x), F_2(x))
Eq(F_243(x), F_0(x)*F_244(x))
Eq(F_244(x), F_245(x) - F_5(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_2(x)*F_61(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_20(x)*F_249(x))
Eq(F_249(x), F_250(x) + F_262(x))
Eq(F_250(x), F_251(x) + F_8(x))
Eq(F_251(x), F_2(x)*F_252(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_20(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_4(x))
Eq(F_255(x), F_256(x) - F_258(x))
Eq(F_256(x), F_257(x)/F_20(x))
Eq(F_257(x), F_6(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_20(x)*F_260(x))
Eq(F_260(x), F_261(x)/F_20(x))
Eq(F_261(x), F_230(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_264(x) + F_268(x))
Eq(F_264(x), F_2(x)*F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_20(x)*F_267(x))
Eq(F_267(x), F_230(x) + F_4(x))
Eq(F_268(x), F_0(x)*F_269(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_20(x)*F_271(x))
Eq(F_271(x), F_272(x)/(F_101(x)*F_20(x)*F_45(x)))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_274(x) - F_304(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x) - F_297(x))
Eq(F_276(x), F_277(x)/F_20(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_104(x) - F_279(x))
Eq(F_279(x), -F_280(x) + F_97(x))
Eq(F_280(x), F_281(x) - F_286(x))
Eq(F_281(x), F_282(x) + F_284(x))
Eq(F_282(x), F_283(x) + F_45(x))
Eq(F_283(x), F_105(x) - F_284(x))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_101(x)*F_20(x)*F_228(x))
Eq(F_286(x), F_287(x) + F_288(x))
Eq(F_287(x), F_0(x)*F_46(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_101(x)*F_20(x)*F_290(x))
Eq(F_290(x), F_284(x) + F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_4(x)*F_46(x))
Eq(F_293(x), F_101(x)*F_294(x))
Eq(F_294(x), F_211(x) + F_295(x))
Eq(F_295(x), F_283(x) - F_296(x))
Eq(F_296(x), F_2(x) + F_6(x))
Eq(F_297(x), F_298(x) + F_302(x))
Eq(F_298(x), F_299(x)/F_20(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_283(x) - F_301(x))
Eq(F_301(x), F_2(x)*F_46(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_101(x)*F_20(x)*F_254(x)*F_94(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_101(x)*F_20(x)*F_267(x)*F_94(x))
Eq(F_306(x), F_307(x) + F_309(x))
Eq(F_307(x), F_281(x) - F_308(x))
Eq(F_308(x), F_245(x) + F_45(x))
Eq(F_309(x), F_102(x)*F_294(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 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[3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": 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2, 0], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[4, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": 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"requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25566/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[20,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[20,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[20,x]*F[228,x]
F[12,x] = F[0,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[20,x]
F[15,x] = F[12,x]+F[16,x]
F[16,x] = F[17,x]+F[21,x]
F[17,x] = -F[0,x]+F[18,x]
F[18,x] = 1/F[20,x]*F[19,x]
F[19,x] = F[2,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[20,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[20,x]*F[25,x]
F[25,x] = F[227,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = F[28,x]+F[32,x]
F[28,x] = F[16,x]+F[29,x]
F[29,x] = F[0,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[20,x]*F[27,x]
F[32,x] = F[33,x]
F[33,x] = F[20,x]*F[34,x]
F[34,x] = 1/F[0,x]^2/F[20,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = -F[226,x]+F[37,x]
F[37,x] = 1/F[20,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = -F[207,x]+F[40,x]
F[40,x] = -F[44,x]+F[41,x]
F[41,x] = 1/F[20,x]*F[42,x]
F[42,x] = F[43,x]
F[43,x] = -F[2,x]+F[17,x]
F[44,x] = F[2,x]*F[45,x]
F[45,x] = F[46,x]+F[94,x]
F[46,x] = F[1,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[20,x]*F[49,x]
F[49,x] = F[50,x]+F[57,x]
F[50,x] = F[1,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[20,x]*F[53,x]
F[53,x] = F[50,x]+F[54,x]
F[54,x] = F[20,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[20,x]*F[51,x]
F[57,x] = F[58,x]+F[70,x]
F[58,x] = F[59,x]
F[59,x] = F[20,x]*F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[1,x]+F[20,x]
F[62,x] = F[58,x]+F[63,x]
F[63,x] = F[64,x]+F[65,x]+F[69,x]
F[64,x] = 0
F[65,x] = F[20,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[20,x]
F[68,x] = F[63,x]
F[69,x] = F[20,x]*F[58,x]
F[70,x] = F[64,x]+F[71,x]+F[92,x]
F[71,x] = F[20,x]*F[72,x]
F[72,x] = F[73,x]+F[77,x]
F[73,x] = F[51,x]+F[74,x]
F[74,x] = F[56,x]+F[64,x]+F[75,x]
F[75,x] = F[20,x]*F[76,x]
F[76,x] = F[54,x]
F[77,x] = F[70,x]+F[78,x]
F[78,x] = F[64,x]+F[79,x]+F[83,x]+F[84,x]
F[79,x] = F[20,x]*F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[74,x]
F[82,x] = F[78,x]
F[83,x] = F[20,x]*F[70,x]
F[84,x] = F[20,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[63,x]+F[87,x]
F[87,x] = 2*F[64,x]+F[83,x]+F[88,x]
F[88,x] = F[20,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[55,x]
F[91,x] = F[87,x]
F[92,x] = F[20,x]*F[93,x]
F[93,x] = F[57,x]+F[86,x]
F[94,x] = F[2,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[20,x]*F[97,x]
F[97,x] = F[104,x]+F[98,x]
F[98,x] = F[94,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[20,x]*F[94,x]
F[101,x] = F[1,x]+F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[101,x]*F[20,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[20,x]*F[106,x]
F[106,x] = F[6,x]
F[107,x] = F[108,x]+F[99,x]
F[108,x] = F[109,x]+F[47,x]
F[109,x] = F[110,x]+F[158,x]+F[64,x]
F[110,x] = F[111,x]*F[20,x]
F[111,x] = F[112,x]+F[121,x]
F[112,x] = F[113,x]+F[20,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[20,x]
F[115,x] = F[112,x]+F[116,x]
F[116,x] = F[117,x]+F[119,x]
F[117,x] = F[118,x]
F[118,x] = x^2
F[119,x] = F[120,x]
F[120,x] = F[113,x]*F[20,x]
F[121,x] = F[122,x]+F[134,x]
F[122,x] = F[123,x]+F[133,x]+F[64,x]
F[123,x] = F[124,x]*F[20,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[117,x]+F[20,x]
F[126,x] = F[122,x]+F[127,x]
F[127,x] = 2*F[64,x]+F[128,x]+F[132,x]
F[128,x] = F[129,x]*F[20,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[117,x]
F[131,x] = F[127,x]
F[132,x] = F[122,x]*F[20,x]
F[133,x] = F[102,x]*F[20,x]
F[134,x] = 2*F[64,x]+F[135,x]+F[156,x]
F[135,x] = F[136,x]*F[20,x]
F[136,x] = F[137,x]+F[141,x]
F[137,x] = F[113,x]+F[138,x]
F[138,x] = 2*F[64,x]+F[120,x]+F[139,x]
F[139,x] = F[140,x]*F[20,x]
F[140,x] = F[116,x]
F[141,x] = F[134,x]+F[142,x]
F[142,x] = 2*F[64,x]+F[143,x]+F[147,x]+F[148,x]
F[143,x] = F[144,x]*F[20,x]
F[144,x] = F[145,x]+F[146,x]
F[145,x] = F[138,x]
F[146,x] = F[142,x]
F[147,x] = F[134,x]*F[20,x]
F[148,x] = F[149,x]*F[20,x]
F[149,x] = F[150,x]
F[150,x] = F[127,x]+F[151,x]
F[151,x] = 3*F[64,x]+F[147,x]+F[152,x]
F[152,x] = F[153,x]*F[20,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[119,x]
F[155,x] = F[151,x]
F[156,x] = F[157,x]*F[20,x]
F[157,x] = F[121,x]+F[150,x]
F[158,x] = F[159,x]*F[20,x]
F[159,x] = F[160,x]+F[171,x]
F[160,x] = F[102,x]+F[161,x]
F[161,x] = F[162,x]+F[165,x]+F[64,x]
F[162,x] = F[163,x]*F[20,x]
F[163,x] = F[164,x]+F[20,x]
F[164,x] = F[133,x]+F[162,x]+F[64,x]
F[165,x] = F[166,x]*F[20,x]
F[166,x] = F[160,x]+F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[133,x]
F[169,x] = F[170,x]
F[170,x] = F[161,x]*F[20,x]
F[171,x] = F[172,x]+F[183,x]
F[172,x] = F[173,x]
F[173,x] = F[174,x]*F[20,x]
F[174,x] = F[175,x]+F[176,x]
F[175,x] = F[102,x]+F[168,x]
F[176,x] = F[172,x]+F[177,x]
F[177,x] = 2*F[64,x]+F[178,x]+F[182,x]
F[178,x] = F[179,x]*F[20,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[168,x]
F[181,x] = F[177,x]
F[182,x] = F[172,x]*F[20,x]
F[183,x] = 2*F[64,x]+F[184,x]+F[205,x]
F[184,x] = F[185,x]*F[20,x]
F[185,x] = F[186,x]+F[190,x]
F[186,x] = F[161,x]+F[187,x]
F[187,x] = 2*F[64,x]+F[170,x]+F[188,x]
F[188,x] = F[189,x]*F[20,x]
F[189,x] = F[167,x]
F[190,x] = F[183,x]+F[191,x]
F[191,x] = 2*F[64,x]+F[192,x]+F[196,x]+F[197,x]
F[192,x] = F[193,x]*F[20,x]
F[193,x] = F[194,x]+F[195,x]
F[194,x] = F[187,x]
F[195,x] = F[191,x]
F[196,x] = F[183,x]*F[20,x]
F[197,x] = F[198,x]*F[20,x]
F[198,x] = F[199,x]
F[199,x] = F[177,x]+F[200,x]
F[200,x] = 3*F[64,x]+F[196,x]+F[201,x]
F[201,x] = F[20,x]*F[202,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[169,x]
F[204,x] = F[200,x]
F[205,x] = F[20,x]*F[206,x]
F[206,x] = F[171,x]+F[199,x]
F[207,x] = F[208,x]
F[208,x] = F[20,x]*F[209,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]*F[27,x]
F[211,x] = F[47,x]+F[95,x]
F[212,x] = F[213,x]*F[223,x]
F[213,x] = 1/F[20,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[217,x]
F[216,x] = F[19,x]
F[217,x] = F[218,x]
F[218,x] = F[20,x]*F[219,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[20,x]*F[27,x]
F[221,x] = F[222,x]
F[222,x] = F[20,x]*F[34,x]
F[223,x] = F[224,x]+F[225,x]
F[224,x] = F[0,x]*F[211,x]
F[225,x] = F[102,x]*F[211,x]
F[226,x] = F[0,x]^2*F[28,x]
F[227,x] = F[211,x]*F[213,x]
F[228,x] = 1/F[20,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[236,x]
F[231,x] = F[232,x]
F[232,x] = F[20,x]*F[233,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]*F[45,x]
F[235,x] = F[0,x]*F[17,x]
F[236,x] = F[237,x]
F[237,x] = F[20,x]*F[238,x]
F[238,x] = F[239,x]+F[306,x]
F[239,x] = F[240,x]+F[243,x]
F[240,x] = F[241,x]*F[5,x]
F[241,x] = 1/F[20,x]*F[242,x]
F[242,x] = F[2,x]
F[243,x] = F[0,x]*F[244,x]
F[244,x] = -F[5,x]+F[245,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[2,x]*F[61,x]
F[247,x] = F[248,x]
F[248,x] = F[20,x]*F[249,x]
F[249,x] = F[250,x]+F[262,x]
F[250,x] = F[251,x]+F[8,x]
F[251,x] = F[2,x]*F[252,x]
F[252,x] = F[253,x]
F[253,x] = F[20,x]*F[254,x]
F[254,x] = F[255,x]+F[4,x]
F[255,x] = -F[258,x]+F[256,x]
F[256,x] = 1/F[20,x]*F[257,x]
F[257,x] = F[6,x]
F[258,x] = F[259,x]
F[259,x] = F[20,x]*F[260,x]
F[260,x] = 1/F[20,x]*F[261,x]
F[261,x] = F[230,x]
F[262,x] = F[263,x]
F[263,x] = F[264,x]+F[268,x]
F[264,x] = F[2,x]*F[265,x]
F[265,x] = F[266,x]
F[266,x] = F[20,x]*F[267,x]
F[267,x] = F[230,x]+F[4,x]
F[268,x] = F[0,x]*F[269,x]
F[269,x] = F[270,x]
F[270,x] = F[20,x]*F[271,x]
F[271,x] = 1/F[101,x]/F[20,x]/F[45,x]*F[272,x]
F[272,x] = F[273,x]
F[273,x] = -F[304,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = -F[297,x]+F[276,x]
F[276,x] = 1/F[20,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[279,x]+F[104,x]
F[279,x] = -F[280,x]+F[97,x]
F[280,x] = -F[286,x]+F[281,x]
F[281,x] = F[282,x]+F[284,x]
F[282,x] = F[283,x]+F[45,x]
F[283,x] = -F[284,x]+F[105,x]
F[284,x] = F[285,x]
F[285,x] = F[101,x]*F[20,x]*F[228,x]
F[286,x] = F[287,x]+F[288,x]
F[287,x] = F[0,x]*F[46,x]
F[288,x] = F[289,x]
F[289,x] = F[101,x]*F[20,x]*F[290,x]
F[290,x] = F[284,x]+F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[4,x]*F[46,x]
F[293,x] = F[101,x]*F[294,x]
F[294,x] = F[211,x]+F[295,x]
F[295,x] = -F[296,x]+F[283,x]
F[296,x] = F[2,x]+F[6,x]
F[297,x] = F[298,x]+F[302,x]
F[298,x] = 1/F[20,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = -F[301,x]+F[283,x]
F[301,x] = F[2,x]*F[46,x]
F[302,x] = F[303,x]
F[303,x] = F[101,x]*F[20,x]*F[254,x]*F[94,x]
F[304,x] = F[305,x]
F[305,x] = F[101,x]*F[20,x]*F[267,x]*F[94,x]
F[306,x] = F[307,x]+F[309,x]
F[307,x] = -F[308,x]+F[281,x]
F[308,x] = F[245,x]+F[45,x]
F[309,x] = F[102,x]*F[294,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{20}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{228}\! \left(x \right)
F_{12}\! \left(x \right) = F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{21}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{20}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{227}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{32}\! \left(x \right)
F_{28}\! \left(x \right) = F_{16}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{0}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{20}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{44}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{17}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{94}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{20}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{57}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{20}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{50}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{20}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{20}\! \left(x \right) F_{51}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{70}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{20}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{62}\! \left(x \right) = F_{58}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)+F_{69}\! \left(x \right)
F_{64}\! \left(x \right) = 0
F_{65}\! \left(x \right) = F_{20}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{20}\! \left(x \right)
F_{68}\! \left(x \right) = F_{63}\! \left(x \right)
F_{69}\! \left(x \right) = F_{20}\! \left(x \right) F_{58}\! \left(x \right)
F_{70}\! \left(x \right) = F_{64}\! \left(x \right)+F_{71}\! \left(x \right)+F_{92}\! \left(x \right)
F_{71}\! \left(x \right) = F_{20}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{56}\! \left(x \right)+F_{64}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{20}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{54}\! \left(x \right)
F_{77}\! \left(x \right) = F_{70}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{64}\! \left(x \right)+F_{79}\! \left(x \right)+F_{83}\! \left(x \right)+F_{84}\! \left(x \right)
F_{79}\! \left(x \right) = F_{20}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{74}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{20}\! \left(x \right) F_{70}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{63}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{83}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{20}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{55}\! \left(x \right)
F_{91}\! \left(x \right) = F_{87}\! \left(x \right)
F_{92}\! \left(x \right) = F_{20}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{57}\! \left(x \right)+F_{86}\! \left(x \right)
F_{94}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{20}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{104}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{94}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{94}\! \left(x \right)
F_{101}\! \left(x \right) = F_{1}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{6}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{99}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{47}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{158}\! \left(x \right)+F_{64}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{20}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{121}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{20}\! \left(x \right)
F_{115}\! \left(x \right) = F_{112}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{119}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = x^{2}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{113}\! \left(x \right) F_{20}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{134}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{133}\! \left(x \right)+F_{64}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{20}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{117}\! \left(x \right)+F_{20}\! \left(x \right)
F_{126}\! \left(x \right) = F_{122}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{128}\! \left(x \right)+F_{132}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{20}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{117}\! \left(x \right)
F_{131}\! \left(x \right) = F_{127}\! \left(x \right)
F_{132}\! \left(x \right) = F_{122}\! \left(x \right) F_{20}\! \left(x \right)
F_{133}\! \left(x \right) = F_{102}\! \left(x \right) F_{20}\! \left(x \right)
F_{134}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{135}\! \left(x \right)+F_{156}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{20}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{141}\! \left(x \right)
F_{137}\! \left(x \right) = F_{113}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{120}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{20}\! \left(x \right)
F_{140}\! \left(x \right) = F_{116}\! \left(x \right)
F_{141}\! \left(x \right) = F_{134}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{143}\! \left(x \right)+F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{20}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{146}\! \left(x \right)
F_{145}\! \left(x \right) = F_{138}\! \left(x \right)
F_{146}\! \left(x \right) = F_{142}\! \left(x \right)
F_{147}\! \left(x \right) = F_{134}\! \left(x \right) F_{20}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{20}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{127}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = 3 F_{64}\! \left(x \right)+F_{147}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{20}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{119}\! \left(x \right)
F_{155}\! \left(x \right) = F_{151}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{20}\! \left(x \right)
F_{157}\! \left(x \right) = F_{121}\! \left(x \right)+F_{150}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{20}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{171}\! \left(x \right)
F_{160}\! \left(x \right) = F_{102}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{165}\! \left(x \right)+F_{64}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{20}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{20}\! \left(x \right)
F_{164}\! \left(x \right) = F_{133}\! \left(x \right)+F_{162}\! \left(x \right)+F_{64}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{20}\! \left(x \right)
F_{166}\! \left(x \right) = F_{160}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{133}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{161}\! \left(x \right) F_{20}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{183}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right) F_{20}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{176}\! \left(x \right)
F_{175}\! \left(x \right) = F_{102}\! \left(x \right)+F_{168}\! \left(x \right)
F_{176}\! \left(x \right) = F_{172}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{178}\! \left(x \right)+F_{182}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{20}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{168}\! \left(x \right)
F_{181}\! \left(x \right) = F_{177}\! \left(x \right)
F_{182}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right)
F_{183}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{184}\! \left(x \right)+F_{205}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{20}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{190}\! \left(x \right)
F_{186}\! \left(x \right) = F_{161}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{170}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{20}\! \left(x \right)
F_{189}\! \left(x \right) = F_{167}\! \left(x \right)
F_{190}\! \left(x \right) = F_{183}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = 2 F_{64}\! \left(x \right)+F_{192}\! \left(x \right)+F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right) F_{20}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{195}\! \left(x \right)
F_{194}\! \left(x \right) = F_{187}\! \left(x \right)
F_{195}\! \left(x \right) = F_{191}\! \left(x \right)
F_{196}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{20}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{177}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = 3 F_{64}\! \left(x \right)+F_{196}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{20}\! \left(x \right) F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{169}\! \left(x \right)
F_{204}\! \left(x \right) = F_{200}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{171}\! \left(x \right)+F_{199}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{20}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)+F_{212}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{27}\! \left(x \right)
F_{211}\! \left(x \right) = F_{47}\! \left(x \right)+F_{95}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{223}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{19}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{20}\! \left(x \right) F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{0}\! \left(x \right) F_{211}\! \left(x \right)
F_{225}\! \left(x \right) = F_{102}\! \left(x \right) F_{211}\! \left(x \right)
F_{226}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{28}\! \left(x \right)
F_{227}\! \left(x \right) = F_{211}\! \left(x \right) F_{213}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{236}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{20}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{45}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{20}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{306}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{243}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{5}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{2}\! \left(x \right)
F_{243}\! \left(x \right) = F_{0}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{247}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{61}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{20}\! \left(x \right) F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)+F_{262}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{8}\! \left(x \right)
F_{251}\! \left(x \right) = F_{2}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{20}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = -F_{258}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{6}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{20}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{261}\! \left(x \right) = F_{230}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{268}\! \left(x \right)
F_{264}\! \left(x \right) = F_{2}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{20}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{230}\! \left(x \right)+F_{4}\! \left(x \right)
F_{268}\! \left(x \right) = F_{0}\! \left(x \right) F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{20}\! \left(x \right) F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = \frac{F_{272}\! \left(x \right)}{F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{45}\! \left(x \right)}
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = -F_{297}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{279}\! \left(x \right)+F_{104}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{280}\! \left(x \right)+F_{97}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{286}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)+F_{284}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{45}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{105}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{228}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{288}\! \left(x \right)
F_{287}\! \left(x \right) = F_{0}\! \left(x \right) F_{46}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{284}\! \left(x \right)+F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)+F_{293}\! \left(x \right)
F_{292}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{293}\! \left(x \right) = F_{101}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{211}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{296}\! \left(x \right)+F_{283}\! \left(x \right)
F_{296}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{302}\! \left(x \right)
F_{298}\! \left(x \right) = \frac{F_{299}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{283}\! \left(x \right)
F_{301}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{254}\! \left(x \right) F_{94}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{101}\! \left(x \right) F_{20}\! \left(x \right) F_{267}\! \left(x \right) F_{94}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{309}\! \left(x \right)
F_{307}\! \left(x \right) = -F_{308}\! \left(x \right)+F_{281}\! \left(x \right)
F_{308}\! \left(x \right) = F_{245}\! \left(x \right)+F_{45}\! \left(x \right)
F_{309}\! \left(x \right) = F_{102}\! \left(x \right) F_{294}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_20(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_20(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_20(x)*F_228(x))
Eq(F_12(x), F_0(x) + F_13(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_20(x))
Eq(F_15(x), F_12(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_21(x))
Eq(F_17(x), -F_0(x) + F_18(x))
Eq(F_18(x), F_19(x)/F_20(x))
Eq(F_19(x), F_2(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_20(x)*F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_20(x)*F_25(x))
Eq(F_25(x), F_227(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_32(x))
Eq(F_28(x), F_16(x) + F_29(x))
Eq(F_29(x), F_0(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_20(x)*F_27(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_20(x)*F_34(x))
Eq(F_34(x), F_35(x)/(F_0(x)**2*F_20(x)))
Eq(F_35(x), F_36(x))
Eq(F_36(x), -F_226(x) + F_37(x))
Eq(F_37(x), F_38(x)/F_20(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), -F_207(x) + F_40(x))
Eq(F_40(x), F_41(x) - F_44(x))
Eq(F_41(x), F_42(x)/F_20(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_17(x) - F_2(x))
Eq(F_44(x), F_2(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_94(x))
Eq(F_46(x), F_1(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_20(x)*F_49(x))
Eq(F_49(x), F_50(x) + F_57(x))
Eq(F_50(x), F_1(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_20(x)*F_53(x))
Eq(F_53(x), F_50(x) + F_54(x))
Eq(F_54(x), F_20(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_20(x)*F_51(x))
Eq(F_57(x), F_58(x) + F_70(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_20(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_1(x) + F_20(x))
Eq(F_62(x), F_58(x) + F_63(x))
Eq(F_63(x), F_64(x) + F_65(x) + F_69(x))
Eq(F_64(x), 0)
Eq(F_65(x), F_20(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_20(x))
Eq(F_68(x), F_63(x))
Eq(F_69(x), F_20(x)*F_58(x))
Eq(F_70(x), F_64(x) + F_71(x) + F_92(x))
Eq(F_71(x), F_20(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_77(x))
Eq(F_73(x), F_51(x) + F_74(x))
Eq(F_74(x), F_56(x) + F_64(x) + F_75(x))
Eq(F_75(x), F_20(x)*F_76(x))
Eq(F_76(x), F_54(x))
Eq(F_77(x), F_70(x) + F_78(x))
Eq(F_78(x), F_64(x) + F_79(x) + F_83(x) + F_84(x))
Eq(F_79(x), F_20(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_74(x))
Eq(F_82(x), F_78(x))
Eq(F_83(x), F_20(x)*F_70(x))
Eq(F_84(x), F_20(x)*F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_63(x) + F_87(x))
Eq(F_87(x), 2*F_64(x) + F_83(x) + F_88(x))
Eq(F_88(x), F_20(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_55(x))
Eq(F_91(x), F_87(x))
Eq(F_92(x), F_20(x)*F_93(x))
Eq(F_93(x), F_57(x) + F_86(x))
Eq(F_94(x), F_2(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_20(x)*F_97(x))
Eq(F_97(x), F_104(x) + F_98(x))
Eq(F_98(x), F_94(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_20(x)*F_94(x))
Eq(F_101(x), F_1(x) + F_102(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_101(x)*F_20(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_20(x))
Eq(F_106(x), F_6(x))
Eq(F_107(x), F_108(x) + F_99(x))
Eq(F_108(x), F_109(x) + F_47(x))
Eq(F_109(x), F_110(x) + F_158(x) + F_64(x))
Eq(F_110(x), F_111(x)*F_20(x))
Eq(F_111(x), F_112(x) + F_121(x))
Eq(F_112(x), F_113(x) + F_20(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_20(x))
Eq(F_115(x), F_112(x) + F_116(x))
Eq(F_116(x), F_117(x) + F_119(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), x**2)
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_113(x)*F_20(x))
Eq(F_121(x), F_122(x) + F_134(x))
Eq(F_122(x), F_123(x) + F_133(x) + F_64(x))
Eq(F_123(x), F_124(x)*F_20(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_117(x) + F_20(x))
Eq(F_126(x), F_122(x) + F_127(x))
Eq(F_127(x), F_128(x) + F_132(x) + 2*F_64(x))
Eq(F_128(x), F_129(x)*F_20(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_117(x))
Eq(F_131(x), F_127(x))
Eq(F_132(x), F_122(x)*F_20(x))
Eq(F_133(x), F_102(x)*F_20(x))
Eq(F_134(x), F_135(x) + F_156(x) + 2*F_64(x))
Eq(F_135(x), F_136(x)*F_20(x))
Eq(F_136(x), F_137(x) + F_141(x))
Eq(F_137(x), F_113(x) + F_138(x))
Eq(F_138(x), F_120(x) + F_139(x) + 2*F_64(x))
Eq(F_139(x), F_140(x)*F_20(x))
Eq(F_140(x), F_116(x))
Eq(F_141(x), F_134(x) + F_142(x))
Eq(F_142(x), F_143(x) + F_147(x) + F_148(x) + 2*F_64(x))
Eq(F_143(x), F_144(x)*F_20(x))
Eq(F_144(x), F_145(x) + F_146(x))
Eq(F_145(x), F_138(x))
Eq(F_146(x), F_142(x))
Eq(F_147(x), F_134(x)*F_20(x))
Eq(F_148(x), F_149(x)*F_20(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_127(x) + F_151(x))
Eq(F_151(x), F_147(x) + F_152(x) + 3*F_64(x))
Eq(F_152(x), F_153(x)*F_20(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_119(x))
Eq(F_155(x), F_151(x))
Eq(F_156(x), F_157(x)*F_20(x))
Eq(F_157(x), F_121(x) + F_150(x))
Eq(F_158(x), F_159(x)*F_20(x))
Eq(F_159(x), F_160(x) + F_171(x))
Eq(F_160(x), F_102(x) + F_161(x))
Eq(F_161(x), F_162(x) + F_165(x) + F_64(x))
Eq(F_162(x), F_163(x)*F_20(x))
Eq(F_163(x), F_164(x) + F_20(x))
Eq(F_164(x), F_133(x) + F_162(x) + F_64(x))
Eq(F_165(x), F_166(x)*F_20(x))
Eq(F_166(x), F_160(x) + F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_133(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_161(x)*F_20(x))
Eq(F_171(x), F_172(x) + F_183(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_174(x)*F_20(x))
Eq(F_174(x), F_175(x) + F_176(x))
Eq(F_175(x), F_102(x) + F_168(x))
Eq(F_176(x), F_172(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_182(x) + 2*F_64(x))
Eq(F_178(x), F_179(x)*F_20(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_168(x))
Eq(F_181(x), F_177(x))
Eq(F_182(x), F_172(x)*F_20(x))
Eq(F_183(x), F_184(x) + F_205(x) + 2*F_64(x))
Eq(F_184(x), F_185(x)*F_20(x))
Eq(F_185(x), F_186(x) + F_190(x))
Eq(F_186(x), F_161(x) + F_187(x))
Eq(F_187(x), F_170(x) + F_188(x) + 2*F_64(x))
Eq(F_188(x), F_189(x)*F_20(x))
Eq(F_189(x), F_167(x))
Eq(F_190(x), F_183(x) + F_191(x))
Eq(F_191(x), F_192(x) + F_196(x) + F_197(x) + 2*F_64(x))
Eq(F_192(x), F_193(x)*F_20(x))
Eq(F_193(x), F_194(x) + F_195(x))
Eq(F_194(x), F_187(x))
Eq(F_195(x), F_191(x))
Eq(F_196(x), F_183(x)*F_20(x))
Eq(F_197(x), F_198(x)*F_20(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_177(x) + F_200(x))
Eq(F_200(x), F_196(x) + F_201(x) + 3*F_64(x))
Eq(F_201(x), F_20(x)*F_202(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_169(x))
Eq(F_204(x), F_200(x))
Eq(F_205(x), F_20(x)*F_206(x))
Eq(F_206(x), F_171(x) + F_199(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_20(x)*F_209(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x)*F_27(x))
Eq(F_211(x), F_47(x) + F_95(x))
Eq(F_212(x), F_213(x)*F_223(x))
Eq(F_213(x), F_214(x)/F_20(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_217(x))
Eq(F_216(x), F_19(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_20(x)*F_219(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_20(x)*F_27(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_20(x)*F_34(x))
Eq(F_223(x), F_224(x) + F_225(x))
Eq(F_224(x), F_0(x)*F_211(x))
Eq(F_225(x), F_102(x)*F_211(x))
Eq(F_226(x), F_0(x)**2*F_28(x))
Eq(F_227(x), F_211(x)*F_213(x))
Eq(F_228(x), F_229(x)/F_20(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_236(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_20(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x)*F_45(x))
Eq(F_235(x), F_0(x)*F_17(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_20(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_306(x))
Eq(F_239(x), F_240(x) + F_243(x))
Eq(F_240(x), F_241(x)*F_5(x))
Eq(F_241(x), F_242(x)/F_20(x))
Eq(F_242(x), F_2(x))
Eq(F_243(x), F_0(x)*F_244(x))
Eq(F_244(x), F_245(x) - F_5(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_2(x)*F_61(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_20(x)*F_249(x))
Eq(F_249(x), F_250(x) + F_262(x))
Eq(F_250(x), F_251(x) + F_8(x))
Eq(F_251(x), F_2(x)*F_252(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_20(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_4(x))
Eq(F_255(x), F_256(x) - F_258(x))
Eq(F_256(x), F_257(x)/F_20(x))
Eq(F_257(x), F_6(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_20(x)*F_260(x))
Eq(F_260(x), F_261(x)/F_20(x))
Eq(F_261(x), F_230(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_264(x) + F_268(x))
Eq(F_264(x), F_2(x)*F_265(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_20(x)*F_267(x))
Eq(F_267(x), F_230(x) + F_4(x))
Eq(F_268(x), F_0(x)*F_269(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_20(x)*F_271(x))
Eq(F_271(x), F_272(x)/(F_101(x)*F_20(x)*F_45(x)))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_274(x) - F_304(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x) - F_297(x))
Eq(F_276(x), F_277(x)/F_20(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_104(x) - F_279(x))
Eq(F_279(x), -F_280(x) + F_97(x))
Eq(F_280(x), F_281(x) - F_286(x))
Eq(F_281(x), F_282(x) + F_284(x))
Eq(F_282(x), F_283(x) + F_45(x))
Eq(F_283(x), F_105(x) - F_284(x))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_101(x)*F_20(x)*F_228(x))
Eq(F_286(x), F_287(x) + F_288(x))
Eq(F_287(x), F_0(x)*F_46(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_101(x)*F_20(x)*F_290(x))
Eq(F_290(x), F_284(x) + F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_4(x)*F_46(x))
Eq(F_293(x), F_101(x)*F_294(x))
Eq(F_294(x), F_211(x) + F_295(x))
Eq(F_295(x), F_283(x) - F_296(x))
Eq(F_296(x), F_2(x) + F_6(x))
Eq(F_297(x), F_298(x) + F_302(x))
Eq(F_298(x), F_299(x)/F_20(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_283(x) - F_301(x))
Eq(F_301(x), F_2(x)*F_46(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_101(x)*F_20(x)*F_254(x)*F_94(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_101(x)*F_20(x)*F_267(x)*F_94(x))
Eq(F_306(x), F_307(x) + F_309(x))
Eq(F_307(x), F_281(x) - F_308(x))
Eq(F_308(x), F_245(x) + F_45(x))
Eq(F_309(x), F_102(x)*F_294(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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[[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[1, 0]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[4, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 1], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 0], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[4, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[2, 0]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25774/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[22,x]*F[228,x]
F[12,x] = F[0,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[22,x]
F[15,x] = F[12,x]+F[16,x]
F[16,x] = F[17,x]+F[23,x]
F[17,x] = F[18,x]+F[2,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = 1/F[22,x]*F[21,x]
F[21,x] = F[2,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[22,x]*F[27,x]
F[27,x] = F[227,x]+F[28,x]
F[28,x] = F[0,x]*F[29,x]
F[29,x] = F[30,x]+F[34,x]
F[30,x] = F[16,x]+F[31,x]
F[31,x] = F[0,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[22,x]*F[29,x]
F[34,x] = F[35,x]
F[35,x] = F[22,x]*F[36,x]
F[36,x] = 1/F[0,x]^2/F[22,x]*F[37,x]
F[37,x] = F[38,x]
F[38,x] = -F[226,x]+F[39,x]
F[39,x] = 1/F[22,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = -F[208,x]+F[42,x]
F[42,x] = -F[45,x]+F[43,x]
F[43,x] = 1/F[22,x]*F[44,x]
F[44,x] = F[18,x]
F[45,x] = F[2,x]*F[46,x]
F[46,x] = F[0,x]+F[47,x]
F[47,x] = F[48,x]+F[95,x]
F[48,x] = F[49,x]
F[49,x] = F[22,x]*F[50,x]
F[50,x] = F[51,x]+F[58,x]
F[51,x] = F[1,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[22,x]*F[54,x]
F[54,x] = F[51,x]+F[55,x]
F[55,x] = F[22,x]+F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[22,x]*F[52,x]
F[58,x] = F[59,x]+F[71,x]
F[59,x] = F[60,x]
F[60,x] = F[22,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[1,x]+F[22,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[65,x]+F[66,x]+F[70,x]
F[65,x] = 0
F[66,x] = F[22,x]*F[67,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[22,x]
F[69,x] = F[64,x]
F[70,x] = F[22,x]*F[59,x]
F[71,x] = F[65,x]+F[72,x]+F[93,x]
F[72,x] = F[22,x]*F[73,x]
F[73,x] = F[74,x]+F[78,x]
F[74,x] = F[52,x]+F[75,x]
F[75,x] = F[57,x]+F[65,x]+F[76,x]
F[76,x] = F[22,x]*F[77,x]
F[77,x] = F[55,x]
F[78,x] = F[71,x]+F[79,x]
F[79,x] = F[65,x]+F[80,x]+F[84,x]+F[85,x]
F[80,x] = F[22,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[75,x]
F[83,x] = F[79,x]
F[84,x] = F[22,x]*F[71,x]
F[85,x] = F[22,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[64,x]+F[88,x]
F[88,x] = 2*F[65,x]+F[84,x]+F[89,x]
F[89,x] = F[22,x]*F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[56,x]
F[92,x] = F[88,x]
F[93,x] = F[22,x]*F[94,x]
F[94,x] = F[58,x]+F[87,x]
F[95,x] = F[96,x]
F[96,x] = F[22,x]*F[97,x]
F[97,x] = F[105,x]+F[98,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[2,x]+F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]*F[99,x]
F[102,x] = F[1,x]+F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[102,x]*F[22,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[22,x]*F[107,x]
F[107,x] = F[6,x]
F[108,x] = F[100,x]+F[109,x]
F[109,x] = F[110,x]+F[48,x]
F[110,x] = F[111,x]+F[159,x]+F[65,x]
F[111,x] = F[112,x]*F[22,x]
F[112,x] = F[113,x]+F[122,x]
F[113,x] = F[114,x]+F[22,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[22,x]
F[116,x] = F[113,x]+F[117,x]
F[117,x] = F[118,x]+F[120,x]
F[118,x] = F[119,x]
F[119,x] = x^2
F[120,x] = F[121,x]
F[121,x] = F[114,x]*F[22,x]
F[122,x] = F[123,x]+F[135,x]
F[123,x] = F[124,x]+F[134,x]+F[65,x]
F[124,x] = F[125,x]*F[22,x]
F[125,x] = F[126,x]+F[127,x]
F[126,x] = F[118,x]+F[22,x]
F[127,x] = F[123,x]+F[128,x]
F[128,x] = 2*F[65,x]+F[129,x]+F[133,x]
F[129,x] = F[130,x]*F[22,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[118,x]
F[132,x] = F[128,x]
F[133,x] = F[123,x]*F[22,x]
F[134,x] = F[103,x]*F[22,x]
F[135,x] = 2*F[65,x]+F[136,x]+F[157,x]
F[136,x] = F[137,x]*F[22,x]
F[137,x] = F[138,x]+F[142,x]
F[138,x] = F[114,x]+F[139,x]
F[139,x] = 2*F[65,x]+F[121,x]+F[140,x]
F[140,x] = F[141,x]*F[22,x]
F[141,x] = F[117,x]
F[142,x] = F[135,x]+F[143,x]
F[143,x] = 2*F[65,x]+F[144,x]+F[148,x]+F[149,x]
F[144,x] = F[145,x]*F[22,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[139,x]
F[147,x] = F[143,x]
F[148,x] = F[135,x]*F[22,x]
F[149,x] = F[150,x]*F[22,x]
F[150,x] = F[151,x]
F[151,x] = F[128,x]+F[152,x]
F[152,x] = 3*F[65,x]+F[148,x]+F[153,x]
F[153,x] = F[154,x]*F[22,x]
F[154,x] = F[155,x]+F[156,x]
F[155,x] = F[120,x]
F[156,x] = F[152,x]
F[157,x] = F[158,x]*F[22,x]
F[158,x] = F[122,x]+F[151,x]
F[159,x] = F[160,x]*F[22,x]
F[160,x] = F[161,x]+F[172,x]
F[161,x] = F[103,x]+F[162,x]
F[162,x] = F[163,x]+F[166,x]+F[65,x]
F[163,x] = F[164,x]*F[22,x]
F[164,x] = F[165,x]+F[22,x]
F[165,x] = F[134,x]+F[163,x]+F[65,x]
F[166,x] = F[167,x]*F[22,x]
F[167,x] = F[161,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[134,x]
F[170,x] = F[171,x]
F[171,x] = F[162,x]*F[22,x]
F[172,x] = F[173,x]+F[184,x]
F[173,x] = F[174,x]
F[174,x] = F[175,x]*F[22,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[103,x]+F[169,x]
F[177,x] = F[173,x]+F[178,x]
F[178,x] = 2*F[65,x]+F[179,x]+F[183,x]
F[179,x] = F[180,x]*F[22,x]
F[180,x] = F[181,x]+F[182,x]
F[181,x] = F[169,x]
F[182,x] = F[178,x]
F[183,x] = F[173,x]*F[22,x]
F[184,x] = 2*F[65,x]+F[185,x]+F[206,x]
F[185,x] = F[186,x]*F[22,x]
F[186,x] = F[187,x]+F[191,x]
F[187,x] = F[162,x]+F[188,x]
F[188,x] = 2*F[65,x]+F[171,x]+F[189,x]
F[189,x] = F[190,x]*F[22,x]
F[190,x] = F[168,x]
F[191,x] = F[184,x]+F[192,x]
F[192,x] = 2*F[65,x]+F[193,x]+F[197,x]+F[198,x]
F[193,x] = F[194,x]*F[22,x]
F[194,x] = F[195,x]+F[196,x]
F[195,x] = F[188,x]
F[196,x] = F[192,x]
F[197,x] = F[184,x]*F[22,x]
F[198,x] = F[199,x]*F[22,x]
F[199,x] = F[200,x]
F[200,x] = F[178,x]+F[201,x]
F[201,x] = 3*F[65,x]+F[197,x]+F[202,x]
F[202,x] = F[203,x]*F[22,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[170,x]
F[205,x] = F[201,x]
F[206,x] = F[207,x]*F[22,x]
F[207,x] = F[172,x]+F[200,x]
F[208,x] = F[209,x]
F[209,x] = F[210,x]*F[22,x]
F[210,x] = F[211,x]+F[212,x]
F[211,x] = F[29,x]*F[47,x]
F[212,x] = F[213,x]*F[223,x]
F[213,x] = 1/F[22,x]*F[214,x]
F[214,x] = F[215,x]
F[215,x] = F[216,x]+F[217,x]
F[216,x] = F[21,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]*F[22,x]
F[219,x] = F[220,x]+F[221,x]
F[220,x] = F[22,x]*F[29,x]
F[221,x] = F[222,x]
F[222,x] = F[22,x]*F[36,x]
F[223,x] = F[224,x]+F[225,x]
F[224,x] = F[0,x]*F[47,x]
F[225,x] = F[103,x]*F[47,x]
F[226,x] = F[0,x]^2*F[30,x]
F[227,x] = F[213,x]*F[47,x]
F[228,x] = 1/F[22,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[236,x]
F[231,x] = F[232,x]
F[232,x] = F[22,x]*F[233,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]*F[46,x]
F[235,x] = F[0,x]*F[17,x]
F[236,x] = F[237,x]
F[237,x] = F[22,x]*F[238,x]
F[238,x] = F[239,x]+F[310,x]
F[239,x] = F[240,x]+F[244,x]
F[240,x] = F[241,x]*F[243,x]
F[241,x] = 1/F[22,x]*F[242,x]
F[242,x] = F[2,x]
F[243,x] = F[2,x]+F[6,x]
F[244,x] = F[0,x]*F[245,x]
F[245,x] = -F[47,x]+F[246,x]
F[246,x] = -F[4,x]+F[247,x]
F[247,x] = F[248,x]+F[251,x]
F[248,x] = F[249,x]+F[250,x]
F[249,x] = F[1,x]+F[48,x]
F[250,x] = F[2,x]*F[62,x]
F[251,x] = F[252,x]+F[99,x]
F[252,x] = F[253,x]
F[253,x] = F[22,x]*F[254,x]
F[254,x] = F[255,x]+F[267,x]
F[255,x] = F[256,x]+F[8,x]
F[256,x] = F[2,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[22,x]*F[259,x]
F[259,x] = F[260,x]+F[4,x]
F[260,x] = -F[263,x]+F[261,x]
F[261,x] = 1/F[22,x]*F[262,x]
F[262,x] = F[6,x]
F[263,x] = F[264,x]
F[264,x] = F[22,x]*F[265,x]
F[265,x] = 1/F[22,x]*F[266,x]
F[266,x] = F[230,x]
F[267,x] = F[268,x]
F[268,x] = F[269,x]+F[273,x]
F[269,x] = F[2,x]*F[270,x]
F[270,x] = F[271,x]
F[271,x] = F[22,x]*F[272,x]
F[272,x] = F[230,x]+F[4,x]
F[273,x] = F[0,x]*F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[22,x]*F[276,x]
F[276,x] = 1/F[102,x]/F[22,x]/F[46,x]*F[277,x]
F[277,x] = F[278,x]
F[278,x] = -F[308,x]+F[279,x]
F[279,x] = F[280,x]
F[280,x] = -F[301,x]+F[281,x]
F[281,x] = 1/F[22,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[284,x]+F[105,x]
F[284,x] = -F[285,x]+F[97,x]
F[285,x] = -F[293,x]+F[286,x]
F[286,x] = F[287,x]+F[291,x]
F[287,x] = F[288,x]+F[4,x]
F[288,x] = F[289,x]+F[47,x]
F[289,x] = -F[5,x]+F[290,x]
F[290,x] = -F[291,x]+F[106,x]
F[291,x] = F[292,x]
F[292,x] = F[102,x]*F[22,x]*F[228,x]
F[293,x] = F[294,x]+F[295,x]
F[294,x] = F[0,x]*F[249,x]
F[295,x] = F[296,x]
F[296,x] = F[102,x]*F[22,x]*F[297,x]
F[297,x] = F[291,x]+F[298,x]
F[298,x] = F[299,x]+F[300,x]
F[299,x] = F[249,x]*F[4,x]
F[300,x] = F[102,x]*F[288,x]
F[301,x] = F[302,x]+F[306,x]
F[302,x] = 1/F[22,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = -F[305,x]+F[290,x]
F[305,x] = F[2,x]*F[249,x]
F[306,x] = F[307,x]
F[307,x] = F[102,x]*F[22,x]*F[259,x]*F[99,x]
F[308,x] = F[309,x]
F[309,x] = F[102,x]*F[22,x]*F[272,x]*F[99,x]
F[310,x] = F[311,x]+F[312,x]
F[311,x] = -F[247,x]+F[286,x]
F[312,x] = F[103,x]*F[288,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right) F_{228}\! \left(x \right)
F_{12}\! \left(x \right) = F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{15}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{22}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{227}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{0}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{34}\! \left(x \right)
F_{30}\! \left(x \right) = F_{16}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = \frac{F_{37}\! \left(x \right)}{F_{0} \left(x \right)^{2} F_{22}\! \left(x \right)}
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{208}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{18}\! \left(x \right)
F_{45}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{95}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{58}\! \left(x \right)
F_{51}\! \left(x \right) = F_{1}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{22}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{22}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{71}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{1}\! \left(x \right)+F_{22}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)+F_{70}\! \left(x \right)
F_{65}\! \left(x \right) = 0
F_{66}\! \left(x \right) = F_{22}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{22}\! \left(x \right)
F_{69}\! \left(x \right) = F_{64}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22}\! \left(x \right) F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)+F_{93}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{78}\! \left(x \right)
F_{74}\! \left(x \right) = F_{52}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{57}\! \left(x \right)+F_{65}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{22}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{55}\! \left(x \right)
F_{78}\! \left(x \right) = F_{71}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{65}\! \left(x \right)+F_{80}\! \left(x \right)+F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{80}\! \left(x \right) = F_{22}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{75}\! \left(x \right)
F_{83}\! \left(x \right) = F_{79}\! \left(x \right)
F_{84}\! \left(x \right) = F_{22}\! \left(x \right) F_{71}\! \left(x \right)
F_{85}\! \left(x \right) = F_{22}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{64}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{84}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{22}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{56}\! \left(x \right)
F_{92}\! \left(x \right) = F_{88}\! \left(x \right)
F_{93}\! \left(x \right) = F_{22}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{58}\! \left(x \right)+F_{87}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{22}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{105}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{2}\! \left(x \right)+F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{99}\! \left(x \right)
F_{102}\! \left(x \right) = F_{1}\! \left(x \right)+F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{6}\! \left(x \right)
F_{108}\! \left(x \right) = F_{100}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{48}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{159}\! \left(x \right)+F_{65}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{22}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{122}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{22}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right)
F_{116}\! \left(x \right) = F_{113}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{120}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = x^{2}
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{114}\! \left(x \right) F_{22}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{134}\! \left(x \right)+F_{65}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{22}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{127}\! \left(x \right)
F_{126}\! \left(x \right) = F_{118}\! \left(x \right)+F_{22}\! \left(x \right)
F_{127}\! \left(x \right) = F_{123}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{129}\! \left(x \right)+F_{133}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{22}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{118}\! \left(x \right)
F_{132}\! \left(x \right) = F_{128}\! \left(x \right)
F_{133}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{134}\! \left(x \right) = F_{103}\! \left(x \right) F_{22}\! \left(x \right)
F_{135}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{136}\! \left(x \right)+F_{157}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{22}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{138}\! \left(x \right) = F_{114}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{121}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{22}\! \left(x \right)
F_{141}\! \left(x \right) = F_{117}\! \left(x \right)
F_{142}\! \left(x \right) = F_{135}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{144}\! \left(x \right)+F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{22}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{139}\! \left(x \right)
F_{147}\! \left(x \right) = F_{143}\! \left(x \right)
F_{148}\! \left(x \right) = F_{135}\! \left(x \right) F_{22}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{22}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{128}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = 3 F_{65}\! \left(x \right)+F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{22}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{156}\! \left(x \right)
F_{155}\! \left(x \right) = F_{120}\! \left(x \right)
F_{156}\! \left(x \right) = F_{152}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{22}\! \left(x \right)
F_{158}\! \left(x \right) = F_{122}\! \left(x \right)+F_{151}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{22}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{172}\! \left(x \right)
F_{161}\! \left(x \right) = F_{103}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{166}\! \left(x \right)+F_{65}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{22}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{22}\! \left(x \right)
F_{165}\! \left(x \right) = F_{134}\! \left(x \right)+F_{163}\! \left(x \right)+F_{65}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{22}\! \left(x \right)
F_{167}\! \left(x \right) = F_{161}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{134}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{162}\! \left(x \right) F_{22}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{184}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{22}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{103}\! \left(x \right)+F_{169}\! \left(x \right)
F_{177}\! \left(x \right) = F_{173}\! \left(x \right)+F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{179}\! \left(x \right)+F_{183}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{22}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{182}\! \left(x \right)
F_{181}\! \left(x \right) = F_{169}\! \left(x \right)
F_{182}\! \left(x \right) = F_{178}\! \left(x \right)
F_{183}\! \left(x \right) = F_{173}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{185}\! \left(x \right)+F_{206}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{22}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{191}\! \left(x \right)
F_{187}\! \left(x \right) = F_{162}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{171}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{22}\! \left(x \right)
F_{190}\! \left(x \right) = F_{168}\! \left(x \right)
F_{191}\! \left(x \right) = F_{184}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = 2 F_{65}\! \left(x \right)+F_{193}\! \left(x \right)+F_{197}\! \left(x \right)+F_{198}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{22}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{196}\! \left(x \right)
F_{195}\! \left(x \right) = F_{188}\! \left(x \right)
F_{196}\! \left(x \right) = F_{192}\! \left(x \right)
F_{197}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{22}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{178}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = 3 F_{65}\! \left(x \right)+F_{197}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{22}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{170}\! \left(x \right)
F_{205}\! \left(x \right) = F_{201}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{22}\! \left(x \right)
F_{207}\! \left(x \right) = F_{172}\! \left(x \right)+F_{200}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{22}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{212}\! \left(x \right)
F_{211}\! \left(x \right) = F_{29}\! \left(x \right) F_{47}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{223}\! \left(x \right)
F_{213}\! \left(x \right) = \frac{F_{214}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{21}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{22}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{221}\! \left(x \right)
F_{220}\! \left(x \right) = F_{22}\! \left(x \right) F_{29}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{0}\! \left(x \right) F_{47}\! \left(x \right)
F_{225}\! \left(x \right) = F_{103}\! \left(x \right) F_{47}\! \left(x \right)
F_{226}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{227}\! \left(x \right) = F_{213}\! \left(x \right) F_{47}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{236}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{22}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{46}\! \left(x \right)
F_{235}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{22}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{310}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{244}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right) F_{243}\! \left(x \right)
F_{241}\! \left(x \right) = \frac{F_{242}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{242}\! \left(x \right) = F_{2}\! \left(x \right)
F_{243}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{244}\! \left(x \right) = F_{0}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{251}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{250}\! \left(x \right)
F_{249}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{250}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{99}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{22}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{267}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{8}\! \left(x \right)
F_{256}\! \left(x \right) = F_{2}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{22}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{4}\! \left(x \right)
F_{260}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{6}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{22}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = \frac{F_{266}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{266}\! \left(x \right) = F_{230}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{273}\! \left(x \right)
F_{269}\! \left(x \right) = F_{2}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{22}\! \left(x \right) F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{230}\! \left(x \right)+F_{4}\! \left(x \right)
F_{273}\! \left(x \right) = F_{0}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{22}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{46}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = -F_{308}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{301}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{105}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{97}\! \left(x \right)
F_{285}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{291}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{4}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{47}\! \left(x \right)
F_{289}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = -F_{291}\! \left(x \right)+F_{106}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{228}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{295}\! \left(x \right)
F_{294}\! \left(x \right) = F_{0}\! \left(x \right) F_{249}\! \left(x \right)
F_{295}\! \left(x \right) = F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{291}\! \left(x \right)+F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{300}\! \left(x \right)
F_{299}\! \left(x \right) = F_{249}\! \left(x \right) F_{4}\! \left(x \right)
F_{300}\! \left(x \right) = F_{102}\! \left(x \right) F_{288}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{306}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = -F_{305}\! \left(x \right)+F_{290}\! \left(x \right)
F_{305}\! \left(x \right) = F_{2}\! \left(x \right) F_{249}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{259}\! \left(x \right) F_{99}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{272}\! \left(x \right) F_{99}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)+F_{312}\! \left(x \right)
F_{311}\! \left(x \right) = -F_{247}\! \left(x \right)+F_{286}\! \left(x \right)
F_{312}\! \left(x \right) = F_{103}\! \left(x \right) F_{288}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_22(x)*F_228(x))
Eq(F_12(x), F_0(x) + F_13(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_22(x))
Eq(F_15(x), F_12(x) + F_16(x))
Eq(F_16(x), F_17(x) + F_23(x))
Eq(F_17(x), F_18(x) + F_2(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_21(x)/F_22(x))
Eq(F_21(x), F_2(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_22(x)*F_27(x))
Eq(F_27(x), F_227(x) + F_28(x))
Eq(F_28(x), F_0(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_34(x))
Eq(F_30(x), F_16(x) + F_31(x))
Eq(F_31(x), F_0(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_22(x)*F_29(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_22(x)*F_36(x))
Eq(F_36(x), F_37(x)/(F_0(x)**2*F_22(x)))
Eq(F_37(x), F_38(x))
Eq(F_38(x), -F_226(x) + F_39(x))
Eq(F_39(x), F_40(x)/F_22(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), -F_208(x) + F_42(x))
Eq(F_42(x), F_43(x) - F_45(x))
Eq(F_43(x), F_44(x)/F_22(x))
Eq(F_44(x), F_18(x))
Eq(F_45(x), F_2(x)*F_46(x))
Eq(F_46(x), F_0(x) + F_47(x))
Eq(F_47(x), F_48(x) + F_95(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_22(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_58(x))
Eq(F_51(x), F_1(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_22(x)*F_54(x))
Eq(F_54(x), F_51(x) + F_55(x))
Eq(F_55(x), F_22(x) + F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_22(x)*F_52(x))
Eq(F_58(x), F_59(x) + F_71(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_22(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_1(x) + F_22(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_65(x) + F_66(x) + F_70(x))
Eq(F_65(x), 0)
Eq(F_66(x), F_22(x)*F_67(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_22(x))
Eq(F_69(x), F_64(x))
Eq(F_70(x), F_22(x)*F_59(x))
Eq(F_71(x), F_65(x) + F_72(x) + F_93(x))
Eq(F_72(x), F_22(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_78(x))
Eq(F_74(x), F_52(x) + F_75(x))
Eq(F_75(x), F_57(x) + F_65(x) + F_76(x))
Eq(F_76(x), F_22(x)*F_77(x))
Eq(F_77(x), F_55(x))
Eq(F_78(x), F_71(x) + F_79(x))
Eq(F_79(x), F_65(x) + F_80(x) + F_84(x) + F_85(x))
Eq(F_80(x), F_22(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_75(x))
Eq(F_83(x), F_79(x))
Eq(F_84(x), F_22(x)*F_71(x))
Eq(F_85(x), F_22(x)*F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_64(x) + F_88(x))
Eq(F_88(x), 2*F_65(x) + F_84(x) + F_89(x))
Eq(F_89(x), F_22(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_56(x))
Eq(F_92(x), F_88(x))
Eq(F_93(x), F_22(x)*F_94(x))
Eq(F_94(x), F_58(x) + F_87(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_22(x)*F_97(x))
Eq(F_97(x), F_105(x) + F_98(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_2(x) + F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x)*F_99(x))
Eq(F_102(x), F_1(x) + F_103(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_102(x)*F_22(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_22(x))
Eq(F_107(x), F_6(x))
Eq(F_108(x), F_100(x) + F_109(x))
Eq(F_109(x), F_110(x) + F_48(x))
Eq(F_110(x), F_111(x) + F_159(x) + F_65(x))
Eq(F_111(x), F_112(x)*F_22(x))
Eq(F_112(x), F_113(x) + F_122(x))
Eq(F_113(x), F_114(x) + F_22(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_22(x))
Eq(F_116(x), F_113(x) + F_117(x))
Eq(F_117(x), F_118(x) + F_120(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), x**2)
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_114(x)*F_22(x))
Eq(F_122(x), F_123(x) + F_135(x))
Eq(F_123(x), F_124(x) + F_134(x) + F_65(x))
Eq(F_124(x), F_125(x)*F_22(x))
Eq(F_125(x), F_126(x) + F_127(x))
Eq(F_126(x), F_118(x) + F_22(x))
Eq(F_127(x), F_123(x) + F_128(x))
Eq(F_128(x), F_129(x) + F_133(x) + 2*F_65(x))
Eq(F_129(x), F_130(x)*F_22(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_118(x))
Eq(F_132(x), F_128(x))
Eq(F_133(x), F_123(x)*F_22(x))
Eq(F_134(x), F_103(x)*F_22(x))
Eq(F_135(x), F_136(x) + F_157(x) + 2*F_65(x))
Eq(F_136(x), F_137(x)*F_22(x))
Eq(F_137(x), F_138(x) + F_142(x))
Eq(F_138(x), F_114(x) + F_139(x))
Eq(F_139(x), F_121(x) + F_140(x) + 2*F_65(x))
Eq(F_140(x), F_141(x)*F_22(x))
Eq(F_141(x), F_117(x))
Eq(F_142(x), F_135(x) + F_143(x))
Eq(F_143(x), F_144(x) + F_148(x) + F_149(x) + 2*F_65(x))
Eq(F_144(x), F_145(x)*F_22(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_139(x))
Eq(F_147(x), F_143(x))
Eq(F_148(x), F_135(x)*F_22(x))
Eq(F_149(x), F_150(x)*F_22(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_128(x) + F_152(x))
Eq(F_152(x), F_148(x) + F_153(x) + 3*F_65(x))
Eq(F_153(x), F_154(x)*F_22(x))
Eq(F_154(x), F_155(x) + F_156(x))
Eq(F_155(x), F_120(x))
Eq(F_156(x), F_152(x))
Eq(F_157(x), F_158(x)*F_22(x))
Eq(F_158(x), F_122(x) + F_151(x))
Eq(F_159(x), F_160(x)*F_22(x))
Eq(F_160(x), F_161(x) + F_172(x))
Eq(F_161(x), F_103(x) + F_162(x))
Eq(F_162(x), F_163(x) + F_166(x) + F_65(x))
Eq(F_163(x), F_164(x)*F_22(x))
Eq(F_164(x), F_165(x) + F_22(x))
Eq(F_165(x), F_134(x) + F_163(x) + F_65(x))
Eq(F_166(x), F_167(x)*F_22(x))
Eq(F_167(x), F_161(x) + F_168(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_134(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_162(x)*F_22(x))
Eq(F_172(x), F_173(x) + F_184(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_175(x)*F_22(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_103(x) + F_169(x))
Eq(F_177(x), F_173(x) + F_178(x))
Eq(F_178(x), F_179(x) + F_183(x) + 2*F_65(x))
Eq(F_179(x), F_180(x)*F_22(x))
Eq(F_180(x), F_181(x) + F_182(x))
Eq(F_181(x), F_169(x))
Eq(F_182(x), F_178(x))
Eq(F_183(x), F_173(x)*F_22(x))
Eq(F_184(x), F_185(x) + F_206(x) + 2*F_65(x))
Eq(F_185(x), F_186(x)*F_22(x))
Eq(F_186(x), F_187(x) + F_191(x))
Eq(F_187(x), F_162(x) + F_188(x))
Eq(F_188(x), F_171(x) + F_189(x) + 2*F_65(x))
Eq(F_189(x), F_190(x)*F_22(x))
Eq(F_190(x), F_168(x))
Eq(F_191(x), F_184(x) + F_192(x))
Eq(F_192(x), F_193(x) + F_197(x) + F_198(x) + 2*F_65(x))
Eq(F_193(x), F_194(x)*F_22(x))
Eq(F_194(x), F_195(x) + F_196(x))
Eq(F_195(x), F_188(x))
Eq(F_196(x), F_192(x))
Eq(F_197(x), F_184(x)*F_22(x))
Eq(F_198(x), F_199(x)*F_22(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_178(x) + F_201(x))
Eq(F_201(x), F_197(x) + F_202(x) + 3*F_65(x))
Eq(F_202(x), F_203(x)*F_22(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_170(x))
Eq(F_205(x), F_201(x))
Eq(F_206(x), F_207(x)*F_22(x))
Eq(F_207(x), F_172(x) + F_200(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_210(x)*F_22(x))
Eq(F_210(x), F_211(x) + F_212(x))
Eq(F_211(x), F_29(x)*F_47(x))
Eq(F_212(x), F_213(x)*F_223(x))
Eq(F_213(x), F_214(x)/F_22(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_216(x) + F_217(x))
Eq(F_216(x), F_21(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x)*F_22(x))
Eq(F_219(x), F_220(x) + F_221(x))
Eq(F_220(x), F_22(x)*F_29(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_22(x)*F_36(x))
Eq(F_223(x), F_224(x) + F_225(x))
Eq(F_224(x), F_0(x)*F_47(x))
Eq(F_225(x), F_103(x)*F_47(x))
Eq(F_226(x), F_0(x)**2*F_30(x))
Eq(F_227(x), F_213(x)*F_47(x))
Eq(F_228(x), F_229(x)/F_22(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_236(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_22(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x)*F_46(x))
Eq(F_235(x), F_0(x)*F_17(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_22(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_310(x))
Eq(F_239(x), F_240(x) + F_244(x))
Eq(F_240(x), F_241(x)*F_243(x))
Eq(F_241(x), F_242(x)/F_22(x))
Eq(F_242(x), F_2(x))
Eq(F_243(x), F_2(x) + F_6(x))
Eq(F_244(x), F_0(x)*F_245(x))
Eq(F_245(x), F_246(x) - F_47(x))
Eq(F_246(x), F_247(x) - F_4(x))
Eq(F_247(x), F_248(x) + F_251(x))
Eq(F_248(x), F_249(x) + F_250(x))
Eq(F_249(x), F_1(x) + F_48(x))
Eq(F_250(x), F_2(x)*F_62(x))
Eq(F_251(x), F_252(x) + F_99(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_22(x)*F_254(x))
Eq(F_254(x), F_255(x) + F_267(x))
Eq(F_255(x), F_256(x) + F_8(x))
Eq(F_256(x), F_2(x)*F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_22(x)*F_259(x))
Eq(F_259(x), F_260(x) + F_4(x))
Eq(F_260(x), F_261(x) - F_263(x))
Eq(F_261(x), F_262(x)/F_22(x))
Eq(F_262(x), F_6(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_22(x)*F_265(x))
Eq(F_265(x), F_266(x)/F_22(x))
Eq(F_266(x), F_230(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_269(x) + F_273(x))
Eq(F_269(x), F_2(x)*F_270(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_22(x)*F_272(x))
Eq(F_272(x), F_230(x) + F_4(x))
Eq(F_273(x), F_0(x)*F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_22(x)*F_276(x))
Eq(F_276(x), F_277(x)/(F_102(x)*F_22(x)*F_46(x)))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_279(x) - F_308(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_281(x) - F_301(x))
Eq(F_281(x), F_282(x)/F_22(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_105(x) - F_284(x))
Eq(F_284(x), -F_285(x) + F_97(x))
Eq(F_285(x), F_286(x) - F_293(x))
Eq(F_286(x), F_287(x) + F_291(x))
Eq(F_287(x), F_288(x) + F_4(x))
Eq(F_288(x), F_289(x) + F_47(x))
Eq(F_289(x), F_290(x) - F_5(x))
Eq(F_290(x), F_106(x) - F_291(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_102(x)*F_22(x)*F_228(x))
Eq(F_293(x), F_294(x) + F_295(x))
Eq(F_294(x), F_0(x)*F_249(x))
Eq(F_295(x), F_296(x))
Eq(F_296(x), F_102(x)*F_22(x)*F_297(x))
Eq(F_297(x), F_291(x) + F_298(x))
Eq(F_298(x), F_299(x) + F_300(x))
Eq(F_299(x), F_249(x)*F_4(x))
Eq(F_300(x), F_102(x)*F_288(x))
Eq(F_301(x), F_302(x) + F_306(x))
Eq(F_302(x), F_303(x)/F_22(x))
Eq(F_303(x), F_304(x))
Eq(F_304(x), F_290(x) - F_305(x))
Eq(F_305(x), F_2(x)*F_249(x))
Eq(F_306(x), F_307(x))
Eq(F_307(x), F_102(x)*F_22(x)*F_259(x)*F_99(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_102(x)*F_22(x)*F_272(x)*F_99(x))
Eq(F_310(x), F_311(x) + F_312(x))
Eq(F_311(x), -F_247(x) + F_286(x))
Eq(F_312(x), F_103(x)*F_288(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 2, 3], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 3, 4, 2], [1, 0, 4, 2, 3], [1, 0, 4, 3, 2], [2, 0, 4, 1, 3]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", 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