03412_03421_04231_04312_04321_13402_14302
Counting sequence:
1, 1, 2, 6, 24, 113, 582, 3158, 17731, 102032, 598321, 3561824, 21467078, 130724961, 803073997, 4970891091, 30972031724, 194095532363, 1222602891594, 7736413851719, 49155904557088, 313487630490403, 2005972365583081, 12875384456060192, 82873087447180172, 534793301447058200, 3459315646564247541, 22425840371017042461, 145677504338173301474, 948112031345484003876, 6181511055740448811612, 40368939696039720299263, 264041603319587236010982, 1729531609887278159937355, 11344314120186140556066704, 74505323316636824051940827, 489919012488536046876548784, 3225227788391863582897838126, 21255390041324830231373482295, 140225141645607221860616479385, 925994072743327621612323645132, 6120615451612021835459115613290, 40491803096117120496369540834949, 268105798159990225240335594716635, 1776624063306301554066652503780406, 11782011004013267562214775316252798, 78192157452283987994584044146998779, 519293800467930422027091240138665473, 3451090864842285034070605583446424020, 22949905578362633871724594948608356747, 152712761946725437106233619820892720283, 1016784738120521306488538957770610663474, 6773793018287601708701002373093144631885, 45151748374933547869102001405975994500360, 301125842380376168763381794517150667518917, 2009295637088538548710804588222801110012783, 13413867686021429675489867679409499215229032, 89592362433091534978344596790330818209877379, 598670110888126882537125350441193952799559522, 4002183269353743905198062998078215716451346563, 26766569247337602113180917220474520755779965692, 179088889306884745636370368197179206758666050838, 1198723236862947954514405192914022011483670452698, 8026717639024613693726900752741455863778304746875, 53767584134074548383860173356094011873635162316656, 360297690355071897038730034934556883012839270684590, 2415216254052220046075505908182967352171329048223550, 16195693422481733376914002049640375677256060611018485, 108639471887995911685544722825852419069070761447259570, 728980826218485531372000672490106534135939588350698667, 4893063986720997641048196170835066526002178771064726402, 32853236042502190780431692494962699768753992693068994534, 220650127998015402365139259569854026299631691677951094055, 1482365976390819012215684299583542620119486188107159969259, 9961586642464036116744044123568264166726550401001036331820, 66960726018761402176389210123529292929240983445746355121387, 450222520269304368598599253871548296493531238993327429594153, 3027935968838629581726396237444934406539922915089193978221815, 20369279830794057544506512429943164400619658533929449854140420, 137060209646129677605015897376294070357082420512416880045122900, 922467678375955174620119485184558609930812380079730635355551326, 6210011335100975714777196991221526095608405911561827334370928747, 41815048982219433816325576304716619917046978624340162339743431125, 281623838328441321269044810731976389416298980581624834789654643121, 1897144859679262180257928646633454080527475337892306922887201730693, 12782730192572087599843111956768178662247652515932714796619777651132, 86146304124888533314270048367438275193639007590422024894301361240989, 580680846133719140785322780458614022769301781047374142098494596784728, 3914931530936452465280193364677167133041178682671894183434959659805633, 26399440544158935184511522193900490722287171851492934675036256034679815, 178052176370672029100567216751253951032169581250652289317476431073964824, 1201102443569461325048277324717089921371072369597470452013768926235202583, 8103847595140924136159022969132673551412513332218217754820566540586671336, 54686387535091906199280165355841196768709708956914597692077809124863725485, 369098536853763890986842611250199408197455038438572441055257443773448925109, 2491603549093817778532248203230566342398707828934799779735099546097605466727, 16822384284225356937525041463208127204771114784544974205501945952038533184268, 113596947100635900602434377271340945109514010755516783651140027073442771271403, 767211011607246450733114857348938322317081602926507547487190292858429690487799, 5182396675663028810723333331923636228423917898194395528558497587074404226152345, 35011665888172181767713178749546665295215821430793747162199619946237297201194368
Implicit equation for the generating function in Maple syntax:
x^3*(2*x-1)^2*F(x)^6-x^3*(x^2-9*x+5)*F(x)^5+x^2*(2*x^2-6*x+5)*F(x)^4+(7*x^3-7*x^2-x-1)*F(x)^3+(x^2+2*x+5)*F(x)^2-8*F(x)+4 = 0
Implicit equation for the generating function in latex syntax:
x^{3} \left(2 x -1\right)^{2} F \! \left(x \right)^{6}-x^{3} \left(x^{2}-9 x +5\right) F \! \left(x \right)^{5}+x^{2} \left(2 x^{2}-6 x +5\right) F \! \left(x \right)^{4}+\left(7 x^{3}-7 x^{2}-x -1\right) F \! \left(x \right)^{3}+\left(x^{2}+2 x +5\right) F \! \left(x \right)^{2}-8 F \! \left(x \right)+4 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 582
a(7) = 3158
a(8) = 17731
a(9) = 102032
a(10) = 598321
a(11) = 3561824
a(12) = 21467078
a(13) = 130724961
a(14) = 803073997
a(15) = 4970891091
a(16) = 30972031724
a(17) = 194095532363
a(18) = 1222602891594
a(19) = 7736413851719
a(20) = 49155904557088
a(21) = 313487630490403
a(22) = 2005972365583081
a(23) = 12875384456060192
a(24) = 82873087447180172
a(25) = 534793301447058200
a(26) = 3459315646564247541
a(27) = 22425840371017042461
a(28) = 145677504338173301474
a(29) = 948112031345484003876
a(30) = 6181511055740448811612
a(31) = 40368939696039720299263
a(32) = 264041603319587236010982
a(33) = 1729531609887278159937355
a(34) = 11344314120186140556066704
a(35) = 74505323316636824051940827
a(36) = 489919012488536046876548784
a(37) = 3225227788391863582897838126
a(38) = 21255390041324830231373482295
a(39) = 140225141645607221860616479385
a(40) = 925994072743327621612323645132
a(41) = 6120615451612021835459115613290
a(42) = 40491803096117120496369540834949
a(43) = 268105798159990225240335594716635
a(44) = 1776624063306301554066652503780406
a(45) = 11782011004013267562214775316252798
a(46) = 78192157452283987994584044146998779
a(47) = 519293800467930422027091240138665473
a(48) = 3451090864842285034070605583446424020
a(49) = 22949905578362633871724594948608356747
a(50) = 152712761946725437106233619820892720283
a(51) = 1016784738120521306488538957770610663474
a(52) = 6773793018287601708701002373093144631885
a(53) = 45151748374933547869102001405975994500360
a(54) = 301125842380376168763381794517150667518917
a(55) = 2009295637088538548710804588222801110012783
a(56) = 13413867686021429675489867679409499215229032
a(57) = 89592362433091534978344596790330818209877379
a(58) = 598670110888126882537125350441193952799559522
a(59) = 4002183269353743905198062998078215716451346563
a(60) = 26766569247337602113180917220474520755779965692
a(61) = 179088889306884745636370368197179206758666050838
a(62) = 1198723236862947954514405192914022011483670452698
a(63) = 8026717639024613693726900752741455863778304746875
a(64) = 53767584134074548383860173356094011873635162316656
a(65) = 360297690355071897038730034934556883012839270684590
a(66) = 2415216254052220046075505908182967352171329048223550
a(67) = 16195693422481733376914002049640375677256060611018485
a(68) = 108639471887995911685544722825852419069070761447259570
a(69) = 728980826218485531372000672490106534135939588350698667
a(70) = 4893063986720997641048196170835066526002178771064726402
a(71) = 32853236042502190780431692494962699768753992693068994534
a(72) = 220650127998015402365139259569854026299631691677951094055
a(73) = 1482365976390819012215684299583542620119486188107159969259
a(74) = 9961586642464036116744044123568264166726550401001036331820
a(75) = 66960726018761402176389210123529292929240983445746355121387
a(76) = 450222520269304368598599253871548296493531238993327429594153
a(77) = 3027935968838629581726396237444934406539922915089193978221815
a(78) = 20369279830794057544506512429943164400619658533929449854140420
a(79) = 137060209646129677605015897376294070357082420512416880045122900
a(80) = 922467678375955174620119485184558609930812380079730635355551326
a(81) = 6210011335100975714777196991221526095608405911561827334370928747
a(82) = 41815048982219433816325576304716619917046978624340162339743431125
a(83) = 281623838328441321269044810731976389416298980581624834789654643121
a(84) = 1897144859679262180257928646633454080527475337892306922887201730693
a(85) = 12782730192572087599843111956768178662247652515932714796619777651132
a(86) = 86146304124888533314270048367438275193639007590422024894301361240989
a(87) = 580680846133719140785322780458614022769301781047374142098494596784728
a(88) = 3914931530936452465280193364677167133041178682671894183434959659805633
a(89) = 26399440544158935184511522193900490722287171851492934675036256034679815
a(90) = 178052176370672029100567216751253951032169581250652289317476431073964824
a(n+91) = 1/19279496610432*(3168742890366656850213052980100154903372453*n^5+247766176901218180494007201934401403732912650*n^4+7747885813472840448992461109737669012923686715*n^3+121118206323729972319645668726546206829312705905*n^2+946475823496915430000972010760564838215533454687*n+2957756138676982042558107702800755530361055325600)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+15)-5/19279496610432*(2276683916269554505423849568239738057320415*n^5+183907560468937558530416098816550928782274165*n^4+5934832120754780023456317269124064790718157975*n^3+95628482495865127376076602575518457663669484931*n^2+769268879293008324976646314117191965148749891446*n+2471191606891019057599373235076595993953927646148)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+16)+5/77117986441728*(22797236294688303135434105865481565445463120*n^5+1863459931100233420494901792057090991298983755*n^4+60497896894618458888009655218381668106065725262*n^3+973717205643121038395289694961382333752460914777*n^2+7754910358145498665098845618979825725813326854678*n+24386096758990960736771795900040421178752892865600)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+17)-1/77117986441728*(124024760916827884966224398693963942861976458*n^5+8481348066978356107348115601154854176193150475*n^4+200159381963533370128956849356985259615641208440*n^3+1542446797465246985239163166849009261007038991325*n^2-6279160542724172949382685099381872600050720776258*n-101434474923552624432044627159639445041792766498960)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+18)+1/4819874152608*(294526769887293489245519117757783*n^5-30137206282660665569941123851427535*n^4-803732378613649728609615175426798325*n^3-7294324354996441165929089912565741505*n^2-28688757105752744677092395928443396578*n-41795413714508510516522218692698578800)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+5)-1/9639748305216*(111657630828392075121212870842707533*n^5+3433974456395643116564788788655234630*n^4+41891969159341331079455633797699358235*n^3+253144847749700536458912068266569170210*n^2+756814258215913887892757413634091248032*n+894192382931677718023804620802513920000)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+6)+1/19279496610432*(2363601380686538298107652686754930389*n^5+87108324729140282610133168384623026305*n^4+1282973314195910739725255570481443757165*n^3+9439118769165701834466125489272655615675*n^2+34688231482558270896235004207757625904026*n+50939173816099317129090211315353181775760)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+7)-1/4407749568*(75316873695869407*n^4+25614941343292985714*n^3+3266334813126606988853*n^2+185088579149325986896066*n+3932448211630007892624840)/(n+90)/(n+89)/(n+92)/(n+91)*a(n+87)-1/77117986441728*(16067557516796044636167743156337029318539928802*n^5+1778841293483952036011748642868280514905501602945*n^4+78788647104367878562634203010362291760856422716960*n^3+1745183313174323718818952717717140880415303265198855*n^2+19331735189665588000611492537899128416291461045520398*n+85672998281040958037930585357660476523384367382751880)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+21)+5/38558993220864*(4676107652659429590067794725358356090101378293*n^5+532806347130285013152125025177695161718670821620*n^4+24292361580519630508138057586389810151127297308539*n^3+553982422300552548332261402913248831922226622695898*n^2+6319000038387930694279518005345897010590494209099338*n+28841434457016301919485948142252891610719518011325704)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+22)-5/38558993220864*(10587066685899676448048111055725164225954905811*n^5+1242639219422119207611553102009783124535476479634*n^4+58342561141254866569064743567231606690685564334507*n^3+1369630969437086904665731875755744906418169486906252*n^2+16076656358338650274811860971887264631637456124379512*n+75482840034074970142080865392333298968082965350582160)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+23)+1/77117986441728*(44659284357347478406739447468825056*n^5+18432165410645250161093337653597813345*n^4+3018898774576105609772953998450414876330*n^3+245564814106478384577180311009370336544075*n^2+9929852015716573832262557083835505793127474*n+159808083879555674188760016865808283920991720)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+74)+5/38558993220864*(52910805090001798925574948842003*n^5+1353531223924362550826910816086172*n^4-2679414369919273605157629035500028623*n^3-425407221732238880339508702732755322048*n^2-24682529549184362450181939315433486355272*n-505918793919444890982424552860696589668300)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+75)-1/38558993220864*(340141345651173844847964946262083*n^5+122602265725728116164975175316338125*n^4+17559689115715771214393103526009164725*n^3+1247803425134117315143263847968194200595*n^2+43930372174787819207884372605912031723392*n+611836432404900198504140672666093781893040)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+76)+1/38558993220864*(58337671441854658094684551807338*n^5+22283524814137226000324625215351785*n^4+3397356286019350911774283417309808140*n^3+258401841978473678318045181788792569115*n^2+9804034783502596403691786391445934957062*n+148425237532436076554420205470386322254620)/(n+90)/(n+89)/(n+88)/(n+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234620652968500)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+61)+1/5876999424*(2953742363075422*n^3+758391051282871281*n^2+64899233002680791579*n+1851019616864451457470)/(n+90)/(n+92)/(n+91)*a(n+88)-1/77117986441728*(25876544947433934321001230429117801738704*n^5+1749964535719318384572884161315712838769345*n^4+47206759055721156989799374324018341467628830*n^3+634793482525234252731305439184077006810405035*n^2+4254325683638152133397379672873516082622426526*n+11366418314417623148602444365624622041814934160)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+12)+1/38558993220864*(184949128615757061829820161933694209963972*n^5+13297258138212503325555945762297621174312975*n^4+381561566259986115327003639523107057929911570*n^3+5462642447621734078431664471491544357051432125*n^2+39021621313562122057106077333717616404414840498*n+111272337925331518865645395504054723489216312320)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+13)-1/77117986441728*(2599900387120541780680399452662755864054652*n^5+195407937055192211910285633971107414128661715*n^4+5870982573930699016084861096306609065287399170*n^3+88138494030505497712596615318291872689119007285*n^2+661150008633453630438450274263265920868842295338*n+1982427846736725647146525795943312872948967437440)/(n+90)/(n+89)/(n+88)/(n+92)/(n+91)*a(n+14)-1/489749952*(5242807228147*n^2+903218606793161*n+38897309277799084)/(n+92)/(n+91)*a(n+89), n >= 91
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 113
a(6) = 582
a(7) = 3158
a(8) = 17731
a(9) = 102032
a(10) = 598321
a(11) = 3561824
a(12) = 21467078
a(13) = 130724961
a(14) = 803073997
a(15) = 4970891091
a(16) = 30972031724
a(17) = 194095532363
a(18) = 1222602891594
a(19) = 7736413851719
a(20) = 49155904557088
a(21) = 313487630490403
a(22) = 2005972365583081
a(23) = 12875384456060192
a(24) = 82873087447180172
a(25) = 534793301447058200
a(26) = 3459315646564247541
a(27) = 22425840371017042461
a(28) = 145677504338173301474
a(29) = 948112031345484003876
a(30) = 6181511055740448811612
a(31) = 40368939696039720299263
a(32) = 264041603319587236010982
a(33) = 1729531609887278159937355
a(34) = 11344314120186140556066704
a(35) = 74505323316636824051940827
a(36) = 489919012488536046876548784
a(37) = 3225227788391863582897838126
a(38) = 21255390041324830231373482295
a(39) = 140225141645607221860616479385
a(40) = 925994072743327621612323645132
a(41) = 6120615451612021835459115613290
a(42) = 40491803096117120496369540834949
a(43) = 268105798159990225240335594716635
a(44) = 1776624063306301554066652503780406
a(45) = 11782011004013267562214775316252798
a(46) = 78192157452283987994584044146998779
a(47) = 519293800467930422027091240138665473
a(48) = 3451090864842285034070605583446424020
a(49) = 22949905578362633871724594948608356747
a(50) = 152712761946725437106233619820892720283
a(51) = 1016784738120521306488538957770610663474
a(52) = 6773793018287601708701002373093144631885
a(53) = 45151748374933547869102001405975994500360
a(54) = 301125842380376168763381794517150667518917
a(55) = 2009295637088538548710804588222801110012783
a(56) = 13413867686021429675489867679409499215229032
a(57) = 89592362433091534978344596790330818209877379
a(58) = 598670110888126882537125350441193952799559522
a(59) = 4002183269353743905198062998078215716451346563
a(60) = 26766569247337602113180917220474520755779965692
a(61) = 179088889306884745636370368197179206758666050838
a(62) = 1198723236862947954514405192914022011483670452698
a(63) = 8026717639024613693726900752741455863778304746875
a(64) = 53767584134074548383860173356094011873635162316656
a(65) = 360297690355071897038730034934556883012839270684590
a(66) = 2415216254052220046075505908182967352171329048223550
a(67) = 16195693422481733376914002049640375677256060611018485
a(68) = 108639471887995911685544722825852419069070761447259570
a(69) = 728980826218485531372000672490106534135939588350698667
a(70) = 4893063986720997641048196170835066526002178771064726402
a(71) = 32853236042502190780431692494962699768753992693068994534
a(72) = 220650127998015402365139259569854026299631691677951094055
a(73) = 1482365976390819012215684299583542620119486188107159969259
a(74) = 9961586642464036116744044123568264166726550401001036331820
a(75) = 66960726018761402176389210123529292929240983445746355121387
a(76) = 450222520269304368598599253871548296493531238993327429594153
a(77) = 3027935968838629581726396237444934406539922915089193978221815
a(78) = 20369279830794057544506512429943164400619658533929449854140420
a(79) = 137060209646129677605015897376294070357082420512416880045122900
a(80) = 922467678375955174620119485184558609930812380079730635355551326
a(81) = 6210011335100975714777196991221526095608405911561827334370928747
a(82) = 41815048982219433816325576304716619917046978624340162339743431125
a(83) = 281623838328441321269044810731976389416298980581624834789654643121
a(84) = 1897144859679262180257928646633454080527475337892306922887201730693
a(85) = 12782730192572087599843111956768178662247652515932714796619777651132
a(86) = 86146304124888533314270048367438275193639007590422024894301361240989
a(87) = 580680846133719140785322780458614022769301781047374142098494596784728
a(88) = 3914931530936452465280193364677167133041178682671894183434959659805633
a(89) = 26399440544158935184511522193900490722287171851492934675036256034679815
a(90) = 178052176370672029100567216751253951032169581250652289317476431073964824
a{\left(n + 91 \right)} = \frac{3820217163913853856391160 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) a{\left(n \right)}}{5578558047 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{132535 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(112315597140586242619349 n + 246051839042976691624062\right) a{\left(n + 1 \right)}}{301242134538 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(66087208830381000958817663715 n^{2} + 676846478327729475368900228927 n + 1551352845342199197280384354724\right) a{\left(n + 2 \right)}}{602484269076 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(n + 3\right) \left(n + 4\right) \left(2023731227606245619699768454495 n^{3} + 41114948092877469077654620875394 n^{2} + 248053420683920050980471991402341 n + 465440525100538513103300040292934\right) a{\left(n + 3 \right)}}{1204968538152 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(n + 4\right) \left(44899137829857916362489704357541 n^{4} + 1398074104648937933385468104638976 n^{3} + 14571722263800746689626249289740339 n^{2} + 63214083931339008492845141719478884 n + 98472723856128072680008430519446452\right) a{\left(n + 4 \right)}}{2409937076304 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(4526774836 n + 392417139497\right) a{\left(n + 90 \right)}}{30609372 \left(n + 92\right)} - \frac{\left(5242807228147 n^{2} + 903218606793161 n + 38897309277799084\right) a{\left(n + 89 \right)}}{489749952 \left(n + 91\right) \left(n + 92\right)} + \frac{\left(2953742363075422 n^{3} + 758391051282871281 n^{2} + 64899233002680791579 n + 1851019616864451457470\right) a{\left(n + 88 \right)}}{5876999424 \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(75316873695869407 n^{4} + 25614941343292985714 n^{3} + 3266334813126606988853 n^{2} + 185088579149325986896066 n + 3932448211630007892624840\right) a{\left(n + 87 \right)}}{4407749568 \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(7839263946826940714 n^{5} + 3310071034889554497005 n^{4} + 558959006286756766149320 n^{3} + 47185881439654969969866055 n^{2} + 1991280577401669849708229946 n + 33607009192078589218627148400\right) a{\left(n + 86 \right)}}{17630998272 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(289336001850802193234 n^{5} + 120390576867625101352677 n^{4} + 20032303336751611991063858 n^{3} + 1666193208611191032268739307 n^{2} + 69274517809065149678472246824 n + 1151762222832318283591212643140\right) a{\left(n + 85 \right)}}{158678984448 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(141932044336769483392598 n^{5} + 58112236428003376371573075 n^{4} + 9513609505959711521149982000 n^{3} + 778428447976777289779956492525 n^{2} + 31833360523348964703491623862162 n + 520500504872935154267494514824560\right) a{\left(n + 84 \right)}}{952073906688 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(460063702987485271552809 n^{5} + 184856153143954809039317860 n^{4} + 29690617346197392677224303490 n^{3} + 2382710778287164346793378393350 n^{2} + 95538115217010136671849298848331 n + 1531125001726252829580014239997100\right) a{\left(n + 83 \right)}}{238018476672 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(492475209379913362920665282 n^{5} + 192986912949600640384442756655 n^{4} + 30206900403244712040891893843180 n^{3} + 2360395415181041748231289778804985 n^{2} + 92069087659152966417585924686301818 n + 1433928223269659448600278342581591560\right) a{\left(n + 82 \right)}}{25705995480576 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(595520812008307440243401305 n^{5} + 94443551755687679970709748648 n^{4} - 7307320554284948558549871258315 n^{3} - 2331032390346408448498981573707173 n^{2} - 161207318962970815840695990455829103 n - 3636331609372764492479994840708153936\right) a{\left(n + 80 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(9777380532140249049582103856 n^{5} + 3653916240999749752510031250045 n^{4} + 543285506319522420916533771302870 n^{3} + 40139780621990432343680228440280355 n^{2} + 1472097835691554973596389443178238394 n + 21409521750578053936078486142343005160\right) a{\left(n + 81 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(370619255657562005973035370444 n^{5} + 156837046863468987451373156314595 n^{4} + 26362156155035826187597622701736420 n^{3} + 2202174072867362971175597606233317445 n^{2} + 91493768026636411877198704159387580596 n + 1513411064382118322180279166080514260940\right) a{\left(n + 79 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(12258343188650141174087851546712 n^{5} + 4870481499048724733845452756802165 n^{4} + 772342263471787734851778593963444790 n^{3} + 61107476767664283751130144255188649735 n^{2} + 2412446723751896884252897376618386742638 n + 38020350356979661229780408790527047902000\right) a{\left(n + 78 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(52910805090001798925574948842003 n^{5} + 1353531223924362550826910816086172 n^{4} - 2679414369919273605157629035500028623 n^{3} - 425407221732238880339508702732755322048 n^{2} - 24682529549184362450181939315433486355272 n - 505918793919444890982424552860696589668300\right) a{\left(n + 75 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(58337671441854658094684551807338 n^{5} + 22283524814137226000324625215351785 n^{4} + 3397356286019350911774283417309808140 n^{3} + 258401841978473678318045181788792569115 n^{2} + 9804034783502596403691786391445934957062 n + 148425237532436076554420205470386322254620\right) a{\left(n + 77 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(294526769887293489245519117757783 n^{5} - 30137206282660665569941123851427535 n^{4} - 803732378613649728609615175426798325 n^{3} - 7294324354996441165929089912565741505 n^{2} - 28688757105752744677092395928443396578 n - 41795413714508510516522218692698578800\right) a{\left(n + 5 \right)}}{4819874152608 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(340141345651173844847964946262083 n^{5} + 122602265725728116164975175316338125 n^{4} + 17559689115715771214393103526009164725 n^{3} + 1247803425134117315143263847968194200595 n^{2} + 43930372174787819207884372605912031723392 n + 611836432404900198504140672666093781893040\right) a{\left(n + 76 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(44659284357347478406739447468825056 n^{5} + 18432165410645250161093337653597813345 n^{4} + 3018898774576105609772953998450414876330 n^{3} + 245564814106478384577180311009370336544075 n^{2} + 9929852015716573832262557083835505793127474 n + 159808083879555674188760016865808283920991720\right) a{\left(n + 74 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(111657630828392075121212870842707533 n^{5} + 3433974456395643116564788788655234630 n^{4} + 41891969159341331079455633797699358235 n^{3} + 253144847749700536458912068266569170210 n^{2} + 756814258215913887892757413634091248032 n + 894192382931677718023804620802513920000\right) a{\left(n + 6 \right)}}{9639748305216 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(345090575449790517431971289902909947 n^{5} + 134173416888185768903610896731905458840 n^{4} + 20819479154386141261824976014152981151275 n^{3} + 1611891020841524761414589217065151142377340 n^{2} + 62278215079757768682335086662982007033221438 n + 960782216852531464184159094971402790026404800\right) a{\left(n + 73 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(2363601380686538298107652686754930389 n^{5} + 87108324729140282610133168384623026305 n^{4} + 1282973314195910739725255570481443757165 n^{3} + 9439118769165701834466125489272655615675 n^{2} + 34688231482558270896235004207757625904026 n + 50939173816099317129090211315353181775760\right) a{\left(n + 7 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(6966913680206792594651095096282144472 n^{5} + 2631268490599405256431900066276860346645 n^{4} + 397049408127989680443407795478021701869770 n^{3} + 29923918799610912260264443217556067915741175 n^{2} + 1126455657402278790867409487548357545509319178 n + 16945183419660131833139657379099167967980937720\right) a{\left(n + 72 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(18240186766060752945408667628205525774 n^{5} + 91279683804528125652110380846406669595 n^{4} - 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\frac{5 \left(470215388148998221639534211108217407892 n^{5} + 167586115257444700151831829430633793449129 n^{4} + 23881551562638936475871616845746495931184586 n^{3} + 1700930926401708640902223129265052846705104807 n^{2} + 60550317401016588453160968228427694049686766482 n + 861881240183363305709359853015584154097313370376\right) a{\left(n + 69 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(1106935798306065042900401077965807848589 n^{5} + 81037270542358985894432315190005186642000 n^{4} + 2271275760170925274969509242087163916018415 n^{3} + 30919983063111966448381425233680045771858000 n^{2} + 206231813153984767802513090620479434473665796 n + 542123012999579691669275750525139926313974820\right) a{\left(n + 11 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(10399590061150110466341239278341793972993 n^{5} + 3584691113923078404341652049105649264102100 n^{4} + 494118827205084949909478984987857523104920995 n^{3} + 34046206273614027770773700501703420326663887380 n^{2} + 1172646374233100392037473375688577512096699444212 n + 16151751245206159245947732886434783712640977707080\right) a{\left(n + 67 \right)}}{12852997740288 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(12745199215606435735108492693290791168552 n^{5} + 4466449033849492246831425123526356437397665 n^{4} + 625888909804426314274185885125271661255944490 n^{3} + 43839526042120863946239088795265478325364541835 n^{2} + 1534873308888294328415488453862459580297922237218 n + 21488765127886445051664484244029741498190912452920\right) a{\left(n + 68 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - 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\frac{\left(12529445337637126221231762259413813180193226806 n^{5} + 3428632776113529479452783952823035557236304034535 n^{4} + 375362552396148181956663624532392396797493148659325 n^{3} + 20550999941425959348412909035241331042635918030647825 n^{2} + 562688692170890926655887977841973928243548310618245899 n + 6163789164724643110435256844934378994382798593526978450\right) a{\left(n + 54 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(16067557516796044636167743156337029318539928802 n^{5} + 1778841293483952036011748642868280514905501602945 n^{4} + 78788647104367878562634203010362291760856422716960 n^{3} + 1745183313174323718818952717717140880415303265198855 n^{2} + 19331735189665588000611492537899128416291461045520398 n + 85672998281040958037930585357660476523384367382751880\right) a{\left(n + 21 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(35623118214841207815660371072106316381874796716 n^{5} + 5761042754805506846359242206332517816460716247365 n^{4} + 362135724244487684368454558871347403636404387925190 n^{3} + 11146487345571751337583254017092245765799212556569803 n^{2} + 168839550716081100203759910271335225683435964067148766 n + 1010294578966090658026646050491651045963337237210449816\right) a{\left(n + 26 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(43241282807232803119105910407555952460194887471 n^{5} + 5064457372754835697967724338329177128353966169450 n^{4} + 234659780252589787700272493931649863555184960618300 n^{3} + 5361680059830553968624694786534467226275331927117170 n^{2} + 60168059076597017714449558523489967300390832980027649 n + 263684559893419797577286258211330726847505019535114860\right) a{\left(n + 25 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(44769390359091903123388643949627487570240381631 n^{5} + 12095774168870881808503335449093024335491626213020 n^{4} + 1307388576842318467793215394457978984509668390279845 n^{3} + 70664914693329994906136611805002135224924952418809400 n^{2} + 1909988469645898618858741050029744007847983014390250304 n + 20652614027085805226581785005702342186073333826399205700\right) a{\left(n + 53 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(106402547518463760927541797223015946022478104922 n^{5} + 28638542460909531587155712221172575040587738492945 n^{4} + 3082355923978834587560835294514150668844803662289080 n^{3} + 165829202253189181880350965081625955757452689855238195 n^{2} + 4459527768785344414196214610713519678631254317415581298 n + 47957836043816675436994601067170734296537982347469883640\right) a{\left(n + 52 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(179363763478987281218056923308092299975839495724 n^{5} + 21530513894500436158003442208277378203240324883835 n^{4} + 1032655640922282934309462163618594650367727777459110 n^{3} + 24734520105128854055048898740533774658744636980040845 n^{2} + 295834347288252983408285224085621778321132883161321526 n + 1413270235908702290645156490053956760448143236410633480\right) a{\left(n + 24 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(286383144363227791711638554327740838298964656638 n^{5} - 405108986843538957361498202693214049350660380561805 n^{4} - 68717005428611250764434034991318277663851952378795900 n^{3} - 4173870868423155885858999126489041793877790370290936295 n^{2} - 111441567016080025623542294844210605812878964112618250718 n - 1110953010999647100841823436692080019426158741730170940760\right) a{\left(n + 39 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(335264385654736988274603825760930276521884142498 n^{5} + 81047991606933829168031366852384794555124604698453 n^{4} + 7833004131647632784933361833764309231134413389935860 n^{3} + 378311797543407398923537485871226050250681368916317963 n^{2} + 9130631281542853513549597784640596065697105214240495226 n + 88097759737149301062118563908292254927161498862743599000\right) a{\left(n + 49 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(347620046182095774890290059702033947462341812573 n^{5} + 50950366515636376068451440807812198493985240712740 n^{4} + 2980150262305012627071404195065479117387001471303150 n^{3} + 86972775329045920698698415728577362695134761289717185 n^{2} + 1266677160111679822044554607055600155292993703214765452 n + 7366283711656390487355408103926518384195608896018663540\right) a{\left(n + 27 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(466929459486051591889724827099874312131475009262 n^{5} + 113606919652596940612464162482924742342186728148835 n^{4} + 11040169404064579043824038979411262462017727094851140 n^{3} + 535584613384215013228838388948615848752400167343869805 n^{2} + 12969112595597354721866460767364236343930448402306200278 n + 125387482463650814345678671734962083749171198967897435440\right) a{\left(n + 50 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(788585152431626577122303640731833300712230468123 n^{5} + 138665220735287946080202163260767833060680767961360 n^{4} + 9735998087195414604811584926042553944455838673288361 n^{3} + 341237508819927156603573241980882108059788641053569539 n^{2} + 5971026778303477096489508304315075807662747594267527261 n + 41734393535171380130281995685644334634572996215784798518\right) a{\left(n + 33 \right)}}{6426498870144 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(845409856258524037165003216478732122820184259395 n^{5} + 196610579088164257221419251810059264458703051442768 n^{4} + 18282516250113790339588926138936666668227937892527635 n^{3} + 849693676390247469611824662411213937470520564642879448 n^{2} + 19737132403875144542494373071121731065470979684240590174 n + 183311204250184154096668106363878532820958922648105762748\right) a{\left(n + 47 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(1018940629697142573888609420315272275068358460287 n^{5} + 219024452284137110804102878651728666166694000382877 n^{4} + 18808024657372350439142202088294290122707618666824787 n^{3} + 806444641451624997246552857843853212155662226772757931 n^{2} + 17264214692133067824708678247180436668955270356938214470 n + 147606568101184672494678389217170154163492975819406437560\right) a{\left(n + 44 \right)}}{12852997740288 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(1051984364761746227453325038793195779275062987994 n^{5} + 156667441530874833384902318654137110775015355013845 n^{4} + 9323853344060066408964684511552798928322578313727380 n^{3} + 277201439566724650939585491181998579350997887937965575 n^{2} + 4117206460992759817427498440720692915598345780224820916 n + 24441539401974008048127436708296118953936297773679408870\right) a{\left(n + 28 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(1360808616607623574421901801954587720321093676011 n^{5} + 222532833121272567665162259679853392974841915668230 n^{4} + 14543521534713956931378217471314767937318544834117714 n^{3} + 474848090100085931524327525682781227600925535815093313 n^{2} + 7745846711818925182255035021185841458317895531686266810 n + 50503336464403318772373287001529391102231879572746955632\right) a{\left(n + 31 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{5 \left(1476611796725282209618285776935982583605741821337 n^{5} + 335391678785872298268577545381168957838596225536287 n^{4} + 30456081087986869713957010295859985903490672951448871 n^{3} + 1382088637291320425427839087191778587462025672689312367 n^{2} + 31342390597853948345300542224798537752623257875332815134 n + 284149405289471023867999628328516875136068939636972846820\right) a{\left(n + 46 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(3983981650839778364237340571667849398073633155358 n^{5} + 798618578044826723677281689370221755419169566594515 n^{4} + 63566467113947270068239609400616337461413450919743630 n^{3} + 2514058770391785610365894086786052090864626516636180815 n^{2} + 49449453179216720313916119144387354737065743195642778512 n + 387240830630869732204123683453841369932704954263744887450\right) a{\left(n + 36 \right)}}{6426498870144 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(4163623847863052670755555560512239089311016356858 n^{5} + 989039607094592425782169833597246433533846789798625 n^{4} + 93940528647502910128705312895681122044123280960692100 n^{3} + 4459618730377435575996193719348965722335841276924430135 n^{2} + 105814767851720565928778129965255479295401974758310733722 n + 1003892475417304868738878944986184078960104792511496969080\right) a{\left(n + 48 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(4427927462043153921139402263373695097473372498666 n^{5} + 809801242779539108321255008305282355110731809133790 n^{4} + 59080621675228546781384471766604967742426647878804065 n^{3} + 2149916665117976299558406067354900115675268083033877420 n^{2} + 39030499602747553254670769673313695655007020372346929289 n + 282856289171237590493148103994368854745315065514342630620\right) a{\left(n + 34 \right)}}{6426498870144 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(4469748390810235322113820148885195254979225183762 n^{5} + 853021204432604017926368466508709467688290645264695 n^{4} + 64837971199047849511135179191325020377655615905688670 n^{3} + 2454836513191356785745770160036840384972996925152343690 n^{2} + 46315117061336929532907412353808124237025478372306801413 n + 348477008080559843524960942416560828381753936185426536650\right) a{\left(n + 35 \right)}}{6426498870144 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{5 \left(4524615083735109080179020380047256060945653882934 n^{5} + 1001314001834335126659966945754028637868863083493305 n^{4} + 88569226721779253802474429565898852251476337068157528 n^{3} + 3913947328519178473316144714029970600288675188525880095 n^{2} + 86407478648748685867792701260540772188864442532306490730 n + 762369524607255538668332415071741697790172027653742850096\right) a{\left(n + 45 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(4570014855528962223705898169519882653765448626703 n^{5} + 722664841349713347806447191952290643127061803642500 n^{4} + 42016454062857095503694316254212366983276709030426360 n^{3} + 1028860342684806283857595679380434482272267524674861110 n^{2} + 7135894086064224408796635859389816087883936045897820217 n - 53740119141522599971865143395840492467410758916746138060\right) a{\left(n + 40 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(4657665299657299179765356646308459560542864991679 n^{5} + 1140180068665456122958262154598507183284229809701710 n^{4} + 106686795873494746168696217750080559647877617554770670 n^{3} + 4840042413004776544422013807011619034340331075661265665 n^{2} + 107372617104244328147945692808048659571980927249103012296 n + 936876410118817349632200266141786472858902075919609987570\right) a{\left(n + 38 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(6041387025450935342364566485131218885857859576468 n^{5} + 1255218701995076494599108344768789050035302496910365 n^{4} + 104077057874595970288482486274047332353504924452687640 n^{3} + 4303833750696005805975104716450424170567298429953788355 n^{2} + 88737534856051951575190524527953752056155845234290558532 n + 729572028247643368612210032981594536591936040903370765340\right) a{\left(n + 43 \right)}}{12852997740288 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(7771532806575968492898734701089243573281236137393 n^{5} + 1447265785297150085438857538873641086301027326356285 n^{4} + 106333914745234149705832605849710428610306126146833755 n^{3} + 3837936810168732880174867522021299945338107730997984610 n^{2} + 67654519782205869259574186457475338178573911491194038097 n + 461656410136580821084590870149291217545709046888450130730\right) a{\left(n + 41 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(8920363851276097951984819800034542691112307406652 n^{5} + 1910410375669402852786474607723551240279809158184995 n^{4} + 161260873688996274218679449342962035807829957354640230 n^{3} + 6726817221784027171414856770093728095873105968839145645 n^{2} + 138967265976658709000503302229200967352115538633201109658 n + 1139279784727545784841080276973177503390666885639088082960\right) a{\left(n + 37 \right)}}{19279496610432 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(9373030064733354649312983293538579104636600792352 n^{5} + 1435428030863917602037087600753944074459770072027835 n^{4} + 87869827271933962340456974227899410839296013793333190 n^{3} + 2687701801350498495278589974699731695611019896640656785 n^{2} + 41079024836430898635030089283628184502799129996301302918 n + 250992386872499794622351908578122175013061973914638711680\right) a{\left(n + 29 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(17209765572537248599305773888564965778024228065366 n^{5} + 2720702727253226988931759860128969056005068279258415 n^{4} + 171924336003113580203394643931014806199374681946621480 n^{3} + 5428372466333969123481771726142826019513123590492319165 n^{2} + 85643148296747291164561286449301238592386336965680674934 n + 540144426494927772309573378777890862549528564439051678680\right) a{\left(n + 30 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} + \frac{\left(18519545297122420803992476561938829820311270339586 n^{5} + 3684911648743869601142376230471446284765637177959315 n^{4} + 291845191740053652587916366724706550299429213977401800 n^{3} + 11491890308665316673731051960283001499688273740110689495 n^{2} + 224769217558309662623671370360933013871623257044541057984 n + 1744856715315256326030245925424310976313788666655963688340\right) a{\left(n + 42 \right)}}{38558993220864 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)} - \frac{\left(37947562218077530174646930244417784376179319735786 n^{5} + 6429454619319937214385981256259124548979308877408165 n^{4} + 435212305890277609817113817605491838733687758842025460 n^{3} + 14713252685973510959454855741262111634271001407538157115 n^{2} + 248443259100494936277262454947062026681373577905498299114 n + 1676387525338189461455649497281665287914111471966777329480\right) a{\left(n + 32 \right)}}{77117986441728 \left(n + 88\right) \left(n + 89\right) \left(n + 90\right) \left(n + 91\right) \left(n + 92\right)}, \quad n \geq 91
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24514/
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[6,x]
F[6,x] = F[20,x]*F[7,x]
F[7,x] = F[106,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[0,x]*F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[20,x]
F[13,x] = F[14,x]+F[52,x]
F[14,x] = F[15,x]*F[2,x]
F[15,x] = F[16,x]+F[34,x]
F[16,x] = F[17,x]+F[21,x]
F[17,x] = F[0,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[15,x]*F[20,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[20,x]*F[23,x]*F[26,x]*F[27,x]
F[23,x] = F[17,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[20,x]*F[26,x]*F[27,x]
F[26,x] = F[1,x]+F[20,x]
F[27,x] = F[1,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[20,x]*F[30,x]
F[30,x] = F[27,x]+F[31,x]
F[31,x] = F[20,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[20,x]*F[28,x]
F[34,x] = -F[21,x]+F[35,x]
F[35,x] = 1/F[20,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[20,x]*F[39,x]
F[39,x] = F[40,x]+F[44,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[2,x]+F[37,x]
F[42,x] = F[43,x]
F[43,x] = F[20,x]^2*F[15,x]
F[44,x] = -F[105,x]+F[45,x]
F[45,x] = F[46,x]+F[92,x]
F[46,x] = F[4,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[60,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[0,x]*F[17,x]
F[52,x] = -F[59,x]+F[53,x]
F[53,x] = 1/F[20,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[56,x]
F[56,x] = -F[0,x]+F[57,x]
F[57,x] = 1/F[20,x]*F[58,x]
F[58,x] = F[2,x]
F[59,x] = F[17,x]*F[2,x]
F[60,x] = F[61,x]
F[61,x] = F[20,x]*F[62,x]
F[62,x] = F[50,x]+F[63,x]
F[63,x] = -F[83,x]+F[64,x]
F[64,x] = 1/F[20,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[68,x]+F[67,x]
F[67,x] = F[68,x]+F[75,x]
F[68,x] = F[2,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[20,x]*F[71,x]
F[71,x] = F[59,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[20,x]*F[74,x]
F[74,x] = F[0,x]+F[68,x]
F[75,x] = F[76,x]
F[76,x] = F[20,x]*F[77,x]
F[77,x] = F[78,x]+F[82,x]
F[78,x] = F[79,x]+F[81,x]
F[79,x] = F[57,x]*F[80,x]
F[80,x] = F[2,x]+F[55,x]
F[81,x] = F[42,x]*F[74,x]
F[82,x] = F[44,x]*F[74,x]
F[83,x] = F[84,x]
F[84,x] = F[20,x]*F[74,x]*F[85,x]
F[85,x] = F[86,x]+F[91,x]
F[86,x] = F[49,x]+F[87,x]
F[87,x] = F[21,x]*F[88,x]
F[88,x] = F[0,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[0,x]^2*F[20,x]
F[91,x] = F[34,x]*F[88,x]
F[92,x] = F[93,x]+F[98,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[20,x]*F[95,x]
F[95,x] = F[55,x]
F[96,x] = F[97,x]
F[97,x] = F[20,x]*F[85,x]
F[98,x] = F[101,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[20,x]*F[26,x]*F[39,x]
F[101,x] = -F[103,x]+F[102,x]
F[102,x] = -F[40,x]+F[96,x]
F[103,x] = -F[104,x]+F[47,x]
F[104,x] = F[2,x]*F[26,x]
F[105,x] = F[40,x]+F[57,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[20,x]
F[108,x] = F[109,x]+F[124,x]
F[109,x] = F[110,x]+F[113,x]
F[110,x] = F[111,x]+F[7,x]
F[111,x] = F[112,x]
F[112,x] = F[20,x]*F[62,x]
F[113,x] = F[114,x]
F[114,x] = F[0,x]*F[115,x]
F[115,x] = F[116,x]+F[119,x]
F[116,x] = F[117,x]+F[93,x]
F[117,x] = F[118,x]
F[118,x] = F[0,x]*F[20,x]*F[35,x]
F[119,x] = F[120,x]
F[120,x] = -F[123,x]+F[121,x]
F[121,x] = 1/F[20,x]*F[122,x]
F[122,x] = F[103,x]
F[123,x] = F[26,x]*F[94,x]
F[124,x] = F[125,x]+F[292,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[20,x]
F[127,x] = 1/F[20,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[20,x]
F[131,x] = 1/F[20,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[279,x]
F[134,x] = F[135,x]*F[80,x]
F[135,x] = F[136,x]+F[174,x]
F[136,x] = F[137,x]+F[163,x]
F[137,x] = F[1,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[20,x]
F[140,x] = F[137,x]+F[141,x]
F[141,x] = F[142,x]+F[28,x]
F[142,x] = F[143,x]+F[144,x]+F[150,x]
F[143,x] = 0
F[144,x] = F[145,x]*F[20,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[138,x]+F[142,x]
F[147,x] = F[148,x]+F[162,x]
F[148,x] = F[143,x]+F[149,x]+F[150,x]
F[149,x] = F[138,x]*F[20,x]
F[150,x] = F[151,x]*F[20,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[148,x]+F[20,x]
F[153,x] = F[154,x]+F[157,x]
F[154,x] = F[143,x]+F[155,x]+F[33,x]
F[155,x] = F[156,x]*F[20,x]
F[156,x] = F[31,x]
F[157,x] = F[143,x]+F[158,x]+F[159,x]+F[161,x]
F[158,x] = F[142,x]*F[20,x]
F[159,x] = F[160,x]*F[20,x]
F[160,x] = F[147,x]
F[161,x] = 0
F[162,x] = F[158,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[20,x]
F[165,x] = F[166,x]+F[181,x]
F[166,x] = F[136,x]+F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[20,x]
F[169,x] = 1/F[20,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = -F[174,x]+F[172,x]
F[172,x] = 1/F[20,x]*F[173,x]
F[173,x] = F[37,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[20,x]
F[176,x] = F[177,x]+F[179,x]
F[177,x] = 1/F[20,x]*F[178,x]
F[178,x] = F[47,x]
F[179,x] = F[180,x]
F[180,x] = F[176,x]*F[20,x]*F[88,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]*F[20,x]
F[183,x] = F[184,x]+F[190,x]
F[184,x] = F[165,x]+F[185,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[20,x]*F[26,x]*F[27,x]
F[187,x] = F[165,x]+F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[183,x]*F[20,x]*F[26,x]*F[27,x]
F[190,x] = -F[185,x]+F[191,x]
F[191,x] = 1/F[20,x]*F[192,x]
F[192,x] = F[193,x]
F[193,x] = -F[194,x]+F[174,x]
F[194,x] = F[195,x]+F[28,x]
F[195,x] = F[143,x]+F[196,x]+F[275,x]
F[196,x] = F[197,x]*F[20,x]
F[197,x] = F[194,x]+F[198,x]
F[198,x] = F[199,x]+F[216,x]
F[199,x] = F[143,x]+F[200,x]+F[205,x]
F[200,x] = F[20,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[199,x]+F[28,x]
F[203,x] = F[204,x]+F[214,x]
F[204,x] = F[143,x]+F[205,x]+F[33,x]
F[205,x] = F[20,x]*F[206,x]
F[206,x] = F[207,x]+F[209,x]
F[207,x] = F[20,x]+F[208,x]
F[208,x] = F[33,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]
F[211,x] = x^2
F[212,x] = F[213,x]
F[213,x] = F[20,x]*F[208,x]
F[214,x] = F[215,x]
F[215,x] = F[199,x]*F[20,x]
F[216,x] = F[143,x]+F[217,x]+F[223,x]+F[237,x]
F[217,x] = F[20,x]*F[218,x]
F[218,x] = F[219,x]+F[220,x]
F[219,x] = F[195,x]+F[216,x]
F[220,x] = F[221,x]+F[274,x]
F[221,x] = F[143,x]+F[222,x]+F[223,x]+F[237,x]
F[222,x] = F[195,x]*F[20,x]
F[223,x] = F[20,x]*F[224,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[204,x]+F[221,x]
F[226,x] = F[227,x]+F[231,x]
F[227,x] = F[143,x]+F[215,x]+F[228,x]+F[230,x]
F[228,x] = F[20,x]*F[229,x]
F[229,x] = F[203,x]
F[230,x] = 0
F[231,x] = F[143,x]+F[232,x]+F[233,x]+F[235,x]+F[236,x]
F[232,x] = F[20,x]*F[216,x]
F[233,x] = F[20,x]*F[234,x]
F[234,x] = F[220,x]
F[235,x] = 0
F[236,x] = 0
F[237,x] = F[20,x]*F[238,x]
F[238,x] = F[239,x]+F[253,x]
F[239,x] = F[240,x]+F[243,x]
F[240,x] = F[143,x]+F[241,x]+F[33,x]
F[241,x] = F[20,x]*F[242,x]
F[242,x] = F[207,x]
F[243,x] = 2*F[143,x]+F[244,x]+F[251,x]
F[244,x] = F[20,x]*F[245,x]
F[245,x] = F[246,x]
F[246,x] = F[20,x]*F[247,x]
F[247,x] = F[248,x]+F[249,x]
F[248,x] = F[245,x]+F[28,x]
F[249,x] = F[208,x]+F[250,x]
F[250,x] = F[244,x]
F[251,x] = F[20,x]*F[252,x]
F[252,x] = F[249,x]
F[253,x] = F[254,x]+F[264,x]
F[254,x] = 2*F[143,x]+F[255,x]+F[262,x]
F[255,x] = F[20,x]*F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[20,x]*F[258,x]
F[258,x] = F[259,x]+F[260,x]
F[259,x] = F[20,x]+F[256,x]
F[260,x] = F[210,x]+F[261,x]
F[261,x] = F[255,x]
F[262,x] = F[20,x]*F[263,x]
F[263,x] = F[260,x]
F[264,x] = 3*F[143,x]+F[265,x]+F[272,x]
F[265,x] = F[20,x]*F[266,x]
F[266,x] = F[267,x]
F[267,x] = F[20,x]*F[268,x]
F[268,x] = F[269,x]+F[270,x]
F[269,x] = F[208,x]+F[266,x]
F[270,x] = F[212,x]+F[271,x]
F[271,x] = F[265,x]
F[272,x] = F[20,x]*F[273,x]
F[273,x] = F[270,x]
F[274,x] = F[232,x]
F[275,x] = F[20,x]*F[276,x]
F[276,x] = F[277,x]+F[278,x]
F[277,x] = F[245,x]+F[28,x]
F[278,x] = F[256,x]+F[266,x]
F[279,x] = F[280,x]*F[68,x]
F[280,x] = -F[284,x]+F[281,x]
F[281,x] = 1/F[20,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[41,x]+F[167,x]
F[284,x] = F[285,x]+F[287,x]
F[285,x] = F[2,x]*F[286,x]
F[286,x] = F[135,x]+F[280,x]
F[287,x] = -F[288,x]+F[129,x]
F[288,x] = F[289,x]
F[289,x] = F[20,x]*F[290,x]
F[290,x] = F[129,x]+F[291,x]
F[291,x] = F[0,x]*F[286,x]
F[292,x] = F[293,x]
F[293,x] = F[0,x]*F[294,x]
F[294,x] = F[295,x]
F[295,x] = -F[364,x]+F[296,x]
F[296,x] = F[297,x]+F[363,x]
F[297,x] = -F[328,x]+F[298,x]
F[298,x] = 1/F[20,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[20,x]*F[302,x]
F[302,x] = 1/F[20,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = F[305,x]+F[321,x]
F[305,x] = -F[314,x]+F[306,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[0,x]^2
F[308,x] = F[309,x]+F[56,x]
F[309,x] = F[310,x]
F[310,x] = F[20,x]*F[311,x]
F[311,x] = F[312,x]+F[313,x]
F[312,x] = F[4,x]*F[56,x]
F[313,x] = F[0,x]*F[111,x]
F[314,x] = F[0,x]+F[315,x]
F[315,x] = F[2,x]+F[316,x]
F[316,x] = F[317,x]
F[317,x] = F[20,x]*F[318,x]
F[318,x] = F[319,x]+F[320,x]
F[319,x] = F[2,x]*F[4,x]
F[320,x] = F[0,x]*F[56,x]
F[321,x] = F[322,x]
F[322,x] = F[20,x]*F[323,x]*F[57,x]
F[323,x] = F[324,x]+F[41,x]
F[324,x] = -F[315,x]+F[325,x]
F[325,x] = -F[304,x]+F[326,x]
F[326,x] = 1/F[20,x]*F[327,x]
F[327,x] = F[37,x]
F[328,x] = -F[331,x]+F[329,x]
F[329,x] = 1/F[20,x]*F[330,x]
F[330,x] = F[300,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]+F[357,x]
F[333,x] = -F[356,x]+F[334,x]
F[334,x] = F[335,x]+F[336,x]
F[335,x] = F[0,x]*F[4,x]
F[336,x] = -F[340,x]+F[337,x]
F[337,x] = -F[338,x]+F[329,x]
F[338,x] = 1/F[20,x]*F[339,x]
F[339,x] = F[9,x]
F[340,x] = F[341,x]
F[341,x] = -F[344,x]+F[342,x]
F[342,x] = 1/F[20,x]*F[343,x]
F[343,x] = F[102,x]
F[344,x] = F[345,x]+F[347,x]
F[345,x] = F[346,x]
F[346,x] = F[26,x]*F[47,x]
F[347,x] = F[348,x]+F[354,x]
F[348,x] = F[349,x]+F[353,x]
F[349,x] = -F[352,x]+F[350,x]
F[350,x] = 1/F[20,x]*F[351,x]
F[351,x] = F[11,x]
F[352,x] = F[96,x]
F[353,x] = F[98,x]
F[354,x] = F[355,x]
F[355,x] = F[20,x]*F[348,x]
F[356,x] = F[300,x]+F[4,x]
F[357,x] = -F[360,x]+F[358,x]
F[358,x] = 1/F[20,x]*F[359,x]
F[359,x] = F[101,x]
F[360,x] = F[361,x]
F[361,x] = -F[362,x]+F[354,x]
F[362,x] = F[20,x]*F[92,x]
F[363,x] = -F[368,x]+F[364,x]
F[364,x] = F[365,x]
F[365,x] = F[20,x]*F[366,x]
F[366,x] = 1/F[20,x]*F[367,x]
F[367,x] = F[284,x]
F[368,x] = -F[478,x]+F[369,x]
F[369,x] = 1/F[20,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[378,x]+F[372,x]
F[372,x] = 1/F[20,x]*F[373,x]
F[373,x] = F[374,x]
F[374,x] = F[375,x]
F[375,x] = F[20,x]*F[26,x]*F[376,x]
F[376,x] = F[300,x]+F[377,x]
F[377,x] = F[374,x]+F[5,x]
F[378,x] = F[379,x]
F[379,x] = F[20,x]*F[27,x]*F[380,x]
F[380,x] = F[381,x]+F[477,x]
F[381,x] = F[26,x]*F[382,x]
F[382,x] = F[371,x]+F[383,x]
F[383,x] = -F[389,x]+F[384,x]
F[384,x] = 1/F[20,x]*F[385,x]
F[385,x] = F[386,x]
F[386,x] = F[387,x]+F[5,x]
F[387,x] = -F[388,x]+F[300,x]
F[388,x] = F[2,x]+F[316,x]
F[389,x] = -F[392,x]+F[390,x]
F[390,x] = 1/F[20,x]*F[391,x]
F[391,x] = F[387,x]
F[392,x] = F[393,x]
F[393,x] = F[20,x]*F[394,x]
F[394,x] = -F[460,x]+F[395,x]
F[395,x] = 1/F[20,x]/F[27,x]*F[396,x]
F[396,x] = F[397,x]
F[397,x] = F[20,x]*F[398,x]
F[398,x] = F[399,x]+F[453,x]
F[399,x] = F[400,x]+F[426,x]
F[400,x] = 1/F[20,x]*F[401,x]
F[401,x] = F[402,x]
F[402,x] = F[403,x]+F[425,x]
F[403,x] = -F[424,x]+F[404,x]
F[404,x] = 1/F[20,x]*F[405,x]
F[405,x] = F[406,x]
F[406,x] = F[20,x]*F[407,x]
F[407,x] = F[408,x]+F[413,x]
F[408,x] = F[409,x]
F[409,x] = F[27,x]*F[410,x]
F[410,x] = F[411,x]
F[411,x] = F[20,x]*F[26,x]*F[412,x]
F[412,x] = F[135,x]+F[410,x]
F[413,x] = -F[422,x]+F[414,x]
F[414,x] = F[415,x]+F[420,x]
F[415,x] = F[416,x]+F[417,x]
F[416,x] = F[136,x]+F[410,x]
F[417,x] = -F[410,x]+F[418,x]
F[418,x] = 1/F[20,x]*F[419,x]
F[419,x] = F[55,x]
F[420,x] = F[421,x]
F[421,x] = F[20,x]*F[414,x]*F[88,x]
F[422,x] = F[423,x]
F[423,x] = F[27,x]*F[416,x]
F[424,x] = F[27,x]*F[96,x]
F[425,x] = F[27,x]*F[98,x]
F[426,x] = -F[429,x]+F[427,x]
F[427,x] = 1/F[20,x]*F[428,x]
F[428,x] = F[190,x]
F[429,x] = F[430,x]+F[432,x]
F[430,x] = 1/F[20,x]*F[431,x]
F[431,x] = F[413,x]
F[432,x] = F[20,x]*F[27,x]*F[433,x]
F[433,x] = F[434,x]+F[439,x]
F[434,x] = F[435,x]+F[437,x]
F[435,x] = 1/F[20,x]*F[436,x]
F[436,x] = F[93,x]
F[437,x] = F[438,x]
F[438,x] = F[169,x]*F[20,x]*F[88,x]
F[439,x] = -F[450,x]+F[440,x]
F[440,x] = 1/F[20,x]*F[441,x]
F[441,x] = F[442,x]
F[442,x] = -F[443,x]+F[417,x]
F[443,x] = F[444,x]+F[445,x]
F[444,x] = F[137,x]*F[2,x]
F[445,x] = F[446,x]
F[446,x] = F[20,x]*F[447,x]
F[447,x] = F[448,x]+F[449,x]
F[448,x] = F[163,x]*F[57,x]
F[449,x] = F[167,x]*F[74,x]
F[450,x] = -F[451,x]+F[434,x]
F[451,x] = 1/F[20,x]*F[452,x]
F[452,x] = F[443,x]
F[453,x] = F[20,x]*F[27,x]*F[454,x]
F[454,x] = F[434,x]+F[455,x]
F[455,x] = F[456,x]
F[456,x] = F[457,x]*F[88,x]
F[457,x] = F[458,x]+F[47,x]
F[458,x] = F[459,x]
F[459,x] = F[20,x]*F[457,x]*F[88,x]
F[460,x] = F[20,x]*F[461,x]
F[461,x] = -F[462,x]+F[394,x]
F[462,x] = -F[465,x]+F[463,x]
F[463,x] = 1/F[20,x]*F[464,x]
F[464,x] = F[439,x]
F[465,x] = F[466,x]+F[472,x]
F[466,x] = 1/F[20,x]*F[467,x]
F[467,x] = F[468,x]
F[468,x] = -F[412,x]+F[469,x]
F[469,x] = F[415,x]+F[470,x]
F[470,x] = F[471,x]
F[471,x] = F[0,x]*F[176,x]*F[20,x]
F[472,x] = -F[473,x]+F[463,x]
F[473,x] = -F[476,x]+F[474,x]
F[474,x] = 1/F[20,x]*F[475,x]
F[475,x] = F[439,x]
F[476,x] = F[20,x]*F[466,x]
F[477,x] = F[371,x]
F[478,x] = -F[479,x]+F[328,x]
F[479,x] = F[120,x]+F[92,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_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{20}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{106}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{52}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{34}\! \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) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \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_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{23}\! \left(x \right) = F_{17}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{20}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{20}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right) F_{28}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right)+F_{37}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{20} \left(x \right)^{2} F_{15}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{92}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \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_{60}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{2}\! \left(x \right)
F_{59}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{50}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{75}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{20}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{59}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right)+F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{20}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{82}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{81}\! \left(x \right)
F_{79}\! \left(x \right) = F_{57}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{2}\! \left(x \right)+F_{55}\! \left(x \right)
F_{81}\! \left(x \right) = F_{42}\! \left(x \right) F_{74}\! \left(x \right)
F_{82}\! \left(x \right) = F_{44}\! \left(x \right) F_{74}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right) F_{74}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{91}\! \left(x \right)
F_{86}\! \left(x \right) = F_{49}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{21}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{20}\! \left(x \right)
F_{91}\! \left(x \right) = F_{34}\! \left(x \right) F_{88}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{98}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{55}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{98}\! \left(x \right) = F_{101}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{96}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{47}\! \left(x \right)
F_{104}\! \left(x \right) = F_{2}\! \left(x \right) F_{26}\! \left(x \right)
F_{105}\! \left(x \right) = F_{40}\! \left(x \right)+F_{57}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{20}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{124}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{113}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{7}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{119}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{93}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{35}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{122}\! \left(x \right) = F_{103}\! \left(x \right)
F_{123}\! \left(x \right) = F_{26}\! \left(x \right) F_{94}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{292}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{20}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{20}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{279}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{80}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{174}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{163}\! \left(x \right)
F_{137}\! \left(x \right) = F_{1}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \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_{137}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{28}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)+F_{150}\! \left(x \right)
F_{143}\! \left(x \right) = 0
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{20}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{162}\! \left(x \right)
F_{148}\! \left(x \right) = F_{143}\! \left(x \right)+F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{20}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{148}\! \left(x \right)+F_{20}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{157}\! \left(x \right)
F_{154}\! \left(x \right) = F_{143}\! \left(x \right)+F_{155}\! \left(x \right)+F_{33}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{20}\! \left(x \right)
F_{156}\! \left(x \right) = F_{31}\! \left(x \right)
F_{157}\! \left(x \right) = F_{143}\! \left(x \right)+F_{158}\! \left(x \right)+F_{159}\! \left(x \right)+F_{161}\! \left(x \right)
F_{158}\! \left(x \right) = F_{142}\! \left(x \right) F_{20}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{20}\! \left(x \right)
F_{160}\! \left(x \right) = F_{147}\! \left(x \right)
F_{161}\! \left(x \right) = 0
F_{162}\! \left(x \right) = F_{158}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{20}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{181}\! \left(x \right)
F_{166}\! \left(x \right) = F_{136}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{20}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{37}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{20}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{47}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{176}\! \left(x \right) F_{20}\! \left(x \right) F_{88}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{190}\! \left(x \right)
F_{184}\! \left(x \right) = F_{165}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{187}\! \left(x \right) = F_{165}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = \frac{F_{192}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{174}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{28}\! \left(x \right)
F_{195}\! \left(x \right) = F_{143}\! \left(x \right)+F_{196}\! \left(x \right)+F_{275}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{20}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{216}\! \left(x \right)
F_{199}\! \left(x \right) = F_{143}\! \left(x \right)+F_{200}\! \left(x \right)+F_{205}\! \left(x \right)
F_{200}\! \left(x \right) = F_{20}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{199}\! \left(x \right)+F_{28}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{214}\! \left(x \right)
F_{204}\! \left(x \right) = F_{143}\! \left(x \right)+F_{205}\! \left(x \right)+F_{33}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{209}\! \left(x \right)
F_{207}\! \left(x \right) = F_{20}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{33}\! \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_{211}\! \left(x \right) = x^{2}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{20}\! \left(x \right) F_{208}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{199}\! \left(x \right) F_{20}\! \left(x \right)
F_{216}\! \left(x \right) = F_{143}\! \left(x \right)+F_{217}\! \left(x \right)+F_{223}\! \left(x \right)+F_{237}\! \left(x \right)
F_{217}\! \left(x \right) = F_{20}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{220}\! \left(x \right)
F_{219}\! \left(x \right) = F_{195}\! \left(x \right)+F_{216}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{274}\! \left(x \right)
F_{221}\! \left(x \right) = F_{143}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)+F_{237}\! \left(x \right)
F_{222}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right)
F_{223}\! \left(x \right) = F_{20}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{204}\! \left(x \right)+F_{221}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{231}\! \left(x \right)
F_{227}\! \left(x \right) = F_{143}\! \left(x \right)+F_{215}\! \left(x \right)+F_{228}\! \left(x \right)+F_{230}\! \left(x \right)
F_{228}\! \left(x \right) = F_{20}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{203}\! \left(x \right)
F_{230}\! \left(x \right) = 0
F_{231}\! \left(x \right) = F_{143}\! \left(x \right)+F_{232}\! \left(x \right)+F_{233}\! \left(x \right)+F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{232}\! \left(x \right) = F_{20}\! \left(x \right) F_{216}\! \left(x \right)
F_{233}\! \left(x \right) = F_{20}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{220}\! \left(x \right)
F_{235}\! \left(x \right) = 0
F_{236}\! \left(x \right) = 0
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_{253}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{243}\! \left(x \right)
F_{240}\! \left(x \right) = F_{143}\! \left(x \right)+F_{241}\! \left(x \right)+F_{33}\! \left(x \right)
F_{241}\! \left(x \right) = F_{20}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{207}\! \left(x \right)
F_{243}\! \left(x \right) = 2 F_{143}\! \left(x \right)+F_{244}\! \left(x \right)+F_{251}\! \left(x \right)
F_{244}\! \left(x \right) = F_{20}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{20}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{249}\! \left(x \right)
F_{248}\! \left(x \right) = F_{245}\! \left(x \right)+F_{28}\! \left(x \right)
F_{249}\! \left(x \right) = F_{208}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{244}\! \left(x \right)
F_{251}\! \left(x \right) = F_{20}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{249}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{264}\! \left(x \right)
F_{254}\! \left(x \right) = 2 F_{143}\! \left(x \right)+F_{255}\! \left(x \right)+F_{262}\! \left(x \right)
F_{255}\! \left(x \right) = F_{20}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{20}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{260}\! \left(x \right)
F_{259}\! \left(x \right) = F_{20}\! \left(x \right)+F_{256}\! \left(x \right)
F_{260}\! \left(x \right) = F_{210}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{255}\! \left(x \right)
F_{262}\! \left(x \right) = F_{20}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{260}\! \left(x \right)
F_{264}\! \left(x \right) = 3 F_{143}\! \left(x \right)+F_{265}\! \left(x \right)+F_{272}\! \left(x \right)
F_{265}\! \left(x \right) = F_{20}\! \left(x \right) F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{20}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{270}\! \left(x \right)
F_{269}\! \left(x \right) = F_{208}\! \left(x \right)+F_{266}\! \left(x \right)
F_{270}\! \left(x \right) = F_{212}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{265}\! \left(x \right)
F_{272}\! \left(x \right) = F_{20}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{270}\! \left(x \right)
F_{274}\! \left(x \right) = F_{232}\! \left(x \right)
F_{275}\! \left(x \right) = F_{20}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{278}\! \left(x \right)
F_{277}\! \left(x \right) = F_{245}\! \left(x \right)+F_{28}\! \left(x \right)
F_{278}\! \left(x \right) = F_{256}\! \left(x \right)+F_{266}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{68}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{41}\! \left(x \right)+F_{167}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{287}\! \left(x \right)
F_{285}\! \left(x \right) = F_{2}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{135}\! \left(x \right)+F_{280}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{129}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{20}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{129}\! \left(x \right)+F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{0}\! \left(x \right) F_{286}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{0}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{364}\! \left(x \right)+F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{363}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{328}\! \left(x \right)+F_{298}\! \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_{301}\! \left(x \right) = F_{20}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{321}\! \left(x \right)
F_{305}\! \left(x \right) = -F_{314}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{56}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{20}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{313}\! \left(x \right)
F_{312}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{313}\! \left(x \right) = F_{0}\! \left(x \right) F_{111}\! \left(x \right)
F_{314}\! \left(x \right) = F_{0}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{2}\! \left(x \right)+F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{20}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{320}\! \left(x \right)
F_{319}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{320}\! \left(x \right) = F_{0}\! \left(x \right) F_{56}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{20}\! \left(x \right) F_{323}\! \left(x \right) F_{57}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{41}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{315}\! \left(x \right)+F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{327}\! \left(x \right) = F_{37}\! \left(x \right)
F_{328}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = \frac{F_{330}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{330}\! \left(x \right) = F_{300}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{357}\! \left(x \right)
F_{333}\! \left(x \right) = -F_{356}\! \left(x \right)+F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{336}\! \left(x \right)
F_{335}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{336}\! \left(x \right) = -F_{340}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{329}\! \left(x \right)
F_{338}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{339}\! \left(x \right) = F_{9}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = \frac{F_{343}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{343}\! \left(x \right) = F_{102}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{347}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{26}\! \left(x \right) F_{47}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{354}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{353}\! \left(x \right)
F_{349}\! \left(x \right) = -F_{352}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{351}\! \left(x \right) = F_{11}\! \left(x \right)
F_{352}\! \left(x \right) = F_{96}\! \left(x \right)
F_{353}\! \left(x \right) = F_{98}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{20}\! \left(x \right) F_{348}\! \left(x \right)
F_{356}\! \left(x \right) = F_{300}\! \left(x \right)+F_{4}\! \left(x \right)
F_{357}\! \left(x \right) = -F_{360}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = \frac{F_{359}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{359}\! \left(x \right) = F_{101}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{354}\! \left(x \right)
F_{362}\! \left(x \right) = F_{20}\! \left(x \right) F_{92}\! \left(x \right)
F_{363}\! \left(x \right) = -F_{368}\! \left(x \right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{20}\! \left(x \right) F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = \frac{F_{367}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{367}\! \left(x \right) = F_{284}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{478}\! \left(x \right)+F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{378}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{300}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{374}\! \left(x \right)+F_{5}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{477}\! \left(x \right)
F_{381}\! \left(x \right) = F_{26}\! \left(x \right) F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{371}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = -F_{389}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = \frac{F_{385}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{5}\! \left(x \right)
F_{387}\! \left(x \right) = -F_{388}\! \left(x \right)+F_{300}\! \left(x \right)
F_{388}\! \left(x \right) = F_{2}\! \left(x \right)+F_{316}\! \left(x \right)
F_{389}\! \left(x \right) = -F_{392}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{391}\! \left(x \right) = F_{387}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{20}\! \left(x \right) F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = -F_{460}\! \left(x \right)+F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = \frac{F_{396}\! \left(x \right)}{F_{20}\! \left(x \right) F_{27}\! \left(x \right)}
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{20}\! \left(x \right) F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)+F_{453}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{426}\! \left(x \right)
F_{400}\! \left(x \right) = \frac{F_{401}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{425}\! \left(x \right)
F_{403}\! \left(x \right) = -F_{424}\! \left(x \right)+F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = \frac{F_{405}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{20}\! \left(x \right) F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{413}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{27}\! \left(x \right) F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{135}\! \left(x \right)+F_{410}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{422}\! \left(x \right)+F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{420}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)+F_{417}\! \left(x \right)
F_{416}\! \left(x \right) = F_{136}\! \left(x \right)+F_{410}\! \left(x \right)
F_{417}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = \frac{F_{419}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{419}\! \left(x \right) = F_{55}\! \left(x \right)
F_{420}\! \left(x \right) = F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{20}\! \left(x \right) F_{414}\! \left(x \right) F_{88}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{27}\! \left(x \right) F_{416}\! \left(x \right)
F_{424}\! \left(x \right) = F_{27}\! \left(x \right) F_{96}\! \left(x \right)
F_{425}\! \left(x \right) = F_{27}\! \left(x \right) F_{98}\! \left(x \right)
F_{426}\! \left(x \right) = -F_{429}\! \left(x \right)+F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = \frac{F_{428}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{428}\! \left(x \right) = F_{190}\! \left(x \right)
F_{429}\! \left(x \right) = F_{430}\! \left(x \right)+F_{432}\! \left(x \right)
F_{430}\! \left(x \right) = \frac{F_{431}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{431}\! \left(x \right) = F_{413}\! \left(x \right)
F_{432}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)+F_{439}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)+F_{437}\! \left(x \right)
F_{435}\! \left(x \right) = \frac{F_{436}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{436}\! \left(x \right) = F_{93}\! \left(x \right)
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{169}\! \left(x \right) F_{20}\! \left(x \right) F_{88}\! \left(x \right)
F_{439}\! \left(x \right) = -F_{450}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = \frac{F_{441}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{441}\! \left(x \right) = F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = -F_{443}\! \left(x \right)+F_{417}\! \left(x \right)
F_{443}\! \left(x \right) = F_{444}\! \left(x \right)+F_{445}\! \left(x \right)
F_{444}\! \left(x \right) = F_{137}\! \left(x \right) F_{2}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{20}\! \left(x \right) F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)+F_{449}\! \left(x \right)
F_{448}\! \left(x \right) = F_{163}\! \left(x \right) F_{57}\! \left(x \right)
F_{449}\! \left(x \right) = F_{167}\! \left(x \right) F_{74}\! \left(x \right)
F_{450}\! \left(x \right) = -F_{451}\! \left(x \right)+F_{434}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{443}\! \left(x \right)
F_{453}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{434}\! \left(x \right)+F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{457}\! \left(x \right) F_{88}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{47}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{20}\! \left(x \right) F_{457}\! \left(x \right) F_{88}\! \left(x \right)
F_{460}\! \left(x \right) = F_{20}\! \left(x \right) F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = -F_{462}\! \left(x \right)+F_{394}\! \left(x \right)
F_{462}\! \left(x \right) = -F_{465}\! \left(x \right)+F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{464}\! \left(x \right) = F_{439}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)+F_{472}\! \left(x \right)
F_{466}\! \left(x \right) = \frac{F_{467}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = F_{415}\! \left(x \right)+F_{470}\! \left(x \right)
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{0}\! \left(x \right) F_{176}\! \left(x \right) F_{20}\! \left(x \right)
F_{472}\! \left(x \right) = -F_{473}\! \left(x \right)+F_{463}\! \left(x \right)
F_{473}\! \left(x \right) = -F_{476}\! \left(x \right)+F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = \frac{F_{475}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{475}\! \left(x \right) = F_{439}\! \left(x \right)
F_{476}\! \left(x \right) = F_{20}\! \left(x \right) F_{466}\! \left(x \right)
F_{477}\! \left(x \right) = F_{371}\! \left(x \right)
F_{478}\! \left(x \right) = -F_{479}\! \left(x \right)+F_{328}\! \left(x \right)
F_{479}\! \left(x \right) = F_{120}\! \left(x \right)+F_{92}\! \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_6(x))
Eq(F_6(x), F_20(x)*F_7(x))
Eq(F_7(x), F_106(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_0(x)*F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_20(x))
Eq(F_13(x), F_14(x) + F_52(x))
Eq(F_14(x), F_15(x)*F_2(x))
Eq(F_15(x), F_16(x) + F_34(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))
Eq(F_19(x), F_15(x)*F_20(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_20(x)*F_23(x)*F_26(x)*F_27(x))
Eq(F_23(x), F_17(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_26(x), F_1(x) + F_20(x))
Eq(F_27(x), F_1(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_20(x)*F_30(x))
Eq(F_30(x), F_27(x) + F_31(x))
Eq(F_31(x), F_20(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_20(x)*F_28(x))
Eq(F_34(x), -F_21(x) + F_35(x))
Eq(F_35(x), F_36(x)/F_20(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_20(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_44(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_2(x) + F_37(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)*F_20(x)**2)
Eq(F_44(x), -F_105(x) + F_45(x))
Eq(F_45(x), F_46(x) + F_92(x))
Eq(F_46(x), F_4(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_60(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_0(x)*F_17(x))
Eq(F_52(x), F_53(x) - F_59(x))
Eq(F_53(x), F_54(x)/F_20(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_56(x))
Eq(F_56(x), -F_0(x) + F_57(x))
Eq(F_57(x), F_58(x)/F_20(x))
Eq(F_58(x), F_2(x))
Eq(F_59(x), F_17(x)*F_2(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_20(x)*F_62(x))
Eq(F_62(x), F_50(x) + F_63(x))
Eq(F_63(x), F_64(x) - F_83(x))
Eq(F_64(x), F_65(x)/F_20(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_68(x))
Eq(F_67(x), F_68(x) + F_75(x))
Eq(F_68(x), F_2(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_20(x)*F_71(x))
Eq(F_71(x), F_59(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_20(x)*F_74(x))
Eq(F_74(x), F_0(x) + F_68(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_20(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_82(x))
Eq(F_78(x), F_79(x) + F_81(x))
Eq(F_79(x), F_57(x)*F_80(x))
Eq(F_80(x), F_2(x) + F_55(x))
Eq(F_81(x), F_42(x)*F_74(x))
Eq(F_82(x), F_44(x)*F_74(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_20(x)*F_74(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_91(x))
Eq(F_86(x), F_49(x) + F_87(x))
Eq(F_87(x), F_21(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_0(x)**2*F_20(x))
Eq(F_91(x), F_34(x)*F_88(x))
Eq(F_92(x), F_93(x) + F_98(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_20(x))
Eq(F_95(x), F_55(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_20(x)*F_85(x))
Eq(F_98(x), F_101(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_20(x)*F_26(x)*F_39(x))
Eq(F_101(x), F_102(x) - F_103(x))
Eq(F_102(x), -F_40(x) + F_96(x))
Eq(F_103(x), -F_104(x) + F_47(x))
Eq(F_104(x), F_2(x)*F_26(x))
Eq(F_105(x), F_40(x) + F_57(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_20(x))
Eq(F_108(x), F_109(x) + F_124(x))
Eq(F_109(x), F_110(x) + F_113(x))
Eq(F_110(x), F_111(x) + F_7(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_20(x)*F_62(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_0(x)*F_115(x))
Eq(F_115(x), F_116(x) + F_119(x))
Eq(F_116(x), F_117(x) + F_93(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_0(x)*F_20(x)*F_35(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x) - F_123(x))
Eq(F_121(x), F_122(x)/F_20(x))
Eq(F_122(x), F_103(x))
Eq(F_123(x), F_26(x)*F_94(x))
Eq(F_124(x), F_125(x) + F_292(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_20(x))
Eq(F_127(x), F_128(x)/F_20(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_20(x))
Eq(F_131(x), F_132(x)/F_20(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_279(x))
Eq(F_134(x), F_135(x)*F_80(x))
Eq(F_135(x), F_136(x) + F_174(x))
Eq(F_136(x), F_137(x) + F_163(x))
Eq(F_137(x), F_1(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_20(x))
Eq(F_140(x), F_137(x) + F_141(x))
Eq(F_141(x), F_142(x) + F_28(x))
Eq(F_142(x), F_143(x) + F_144(x) + F_150(x))
Eq(F_143(x), 0)
Eq(F_144(x), F_145(x)*F_20(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_138(x) + F_142(x))
Eq(F_147(x), F_148(x) + F_162(x))
Eq(F_148(x), F_143(x) + F_149(x) + F_150(x))
Eq(F_149(x), F_138(x)*F_20(x))
Eq(F_150(x), F_151(x)*F_20(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_148(x) + F_20(x))
Eq(F_153(x), F_154(x) + F_157(x))
Eq(F_154(x), F_143(x) + F_155(x) + F_33(x))
Eq(F_155(x), F_156(x)*F_20(x))
Eq(F_156(x), F_31(x))
Eq(F_157(x), F_143(x) + F_158(x) + F_159(x) + F_161(x))
Eq(F_158(x), F_142(x)*F_20(x))
Eq(F_159(x), F_160(x)*F_20(x))
Eq(F_160(x), F_147(x))
Eq(F_161(x), 0)
Eq(F_162(x), F_158(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_20(x))
Eq(F_165(x), F_166(x) + F_181(x))
Eq(F_166(x), F_136(x) + F_167(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_20(x))
Eq(F_169(x), F_170(x)/F_20(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x) - F_174(x))
Eq(F_172(x), F_173(x)/F_20(x))
Eq(F_173(x), F_37(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_20(x))
Eq(F_176(x), F_177(x) + F_179(x))
Eq(F_177(x), F_178(x)/F_20(x))
Eq(F_178(x), F_47(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_176(x)*F_20(x)*F_88(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x)*F_20(x))
Eq(F_183(x), F_184(x) + F_190(x))
Eq(F_184(x), F_165(x) + F_185(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_187(x), F_165(x) + F_188(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_183(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_190(x), -F_185(x) + F_191(x))
Eq(F_191(x), F_192(x)/F_20(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_174(x) - F_194(x))
Eq(F_194(x), F_195(x) + F_28(x))
Eq(F_195(x), F_143(x) + F_196(x) + F_275(x))
Eq(F_196(x), F_197(x)*F_20(x))
Eq(F_197(x), F_194(x) + F_198(x))
Eq(F_198(x), F_199(x) + F_216(x))
Eq(F_199(x), F_143(x) + F_200(x) + F_205(x))
Eq(F_200(x), F_20(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_199(x) + F_28(x))
Eq(F_203(x), F_204(x) + F_214(x))
Eq(F_204(x), F_143(x) + F_205(x) + F_33(x))
Eq(F_205(x), F_20(x)*F_206(x))
Eq(F_206(x), F_207(x) + F_209(x))
Eq(F_207(x), F_20(x) + F_208(x))
Eq(F_208(x), F_33(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), x**2)
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_20(x)*F_208(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_199(x)*F_20(x))
Eq(F_216(x), F_143(x) + F_217(x) + F_223(x) + F_237(x))
Eq(F_217(x), F_20(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_220(x))
Eq(F_219(x), F_195(x) + F_216(x))
Eq(F_220(x), F_221(x) + F_274(x))
Eq(F_221(x), F_143(x) + F_222(x) + F_223(x) + F_237(x))
Eq(F_222(x), F_195(x)*F_20(x))
Eq(F_223(x), F_20(x)*F_224(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_204(x) + F_221(x))
Eq(F_226(x), F_227(x) + F_231(x))
Eq(F_227(x), F_143(x) + F_215(x) + F_228(x) + F_230(x))
Eq(F_228(x), F_20(x)*F_229(x))
Eq(F_229(x), F_203(x))
Eq(F_230(x), 0)
Eq(F_231(x), F_143(x) + F_232(x) + F_233(x) + F_235(x) + F_236(x))
Eq(F_232(x), F_20(x)*F_216(x))
Eq(F_233(x), F_20(x)*F_234(x))
Eq(F_234(x), F_220(x))
Eq(F_235(x), 0)
Eq(F_236(x), 0)
Eq(F_237(x), F_20(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_253(x))
Eq(F_239(x), F_240(x) + F_243(x))
Eq(F_240(x), F_143(x) + F_241(x) + F_33(x))
Eq(F_241(x), F_20(x)*F_242(x))
Eq(F_242(x), F_207(x))
Eq(F_243(x), 2*F_143(x) + F_244(x) + F_251(x))
Eq(F_244(x), F_20(x)*F_245(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_20(x)*F_247(x))
Eq(F_247(x), F_248(x) + F_249(x))
Eq(F_248(x), F_245(x) + F_28(x))
Eq(F_249(x), F_208(x) + F_250(x))
Eq(F_250(x), F_244(x))
Eq(F_251(x), F_20(x)*F_252(x))
Eq(F_252(x), F_249(x))
Eq(F_253(x), F_254(x) + F_264(x))
Eq(F_254(x), 2*F_143(x) + F_255(x) + F_262(x))
Eq(F_255(x), F_20(x)*F_256(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_20(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_260(x))
Eq(F_259(x), F_20(x) + F_256(x))
Eq(F_260(x), F_210(x) + F_261(x))
Eq(F_261(x), F_255(x))
Eq(F_262(x), F_20(x)*F_263(x))
Eq(F_263(x), F_260(x))
Eq(F_264(x), 3*F_143(x) + F_265(x) + F_272(x))
Eq(F_265(x), F_20(x)*F_266(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_20(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_270(x))
Eq(F_269(x), F_208(x) + F_266(x))
Eq(F_270(x), F_212(x) + F_271(x))
Eq(F_271(x), F_265(x))
Eq(F_272(x), F_20(x)*F_273(x))
Eq(F_273(x), F_270(x))
Eq(F_274(x), F_232(x))
Eq(F_275(x), F_20(x)*F_276(x))
Eq(F_276(x), F_277(x) + F_278(x))
Eq(F_277(x), F_245(x) + F_28(x))
Eq(F_278(x), F_256(x) + F_266(x))
Eq(F_279(x), F_280(x)*F_68(x))
Eq(F_280(x), F_281(x) - F_284(x))
Eq(F_281(x), F_282(x)/F_20(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_167(x) - F_41(x))
Eq(F_284(x), F_285(x) + F_287(x))
Eq(F_285(x), F_2(x)*F_286(x))
Eq(F_286(x), F_135(x) + F_280(x))
Eq(F_287(x), F_129(x) - F_288(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_20(x)*F_290(x))
Eq(F_290(x), F_129(x) + F_291(x))
Eq(F_291(x), F_0(x)*F_286(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_0(x)*F_294(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_296(x) - F_364(x))
Eq(F_296(x), F_297(x) + F_363(x))
Eq(F_297(x), F_298(x) - F_328(x))
Eq(F_298(x), F_299(x)/F_20(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_20(x)*F_302(x))
Eq(F_302(x), F_303(x)/F_20(x))
Eq(F_303(x), F_304(x))
Eq(F_304(x), F_305(x) + F_321(x))
Eq(F_305(x), F_306(x) - F_314(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_0(x)**2)
Eq(F_308(x), F_309(x) + F_56(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_20(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_313(x))
Eq(F_312(x), F_4(x)*F_56(x))
Eq(F_313(x), F_0(x)*F_111(x))
Eq(F_314(x), F_0(x) + F_315(x))
Eq(F_315(x), F_2(x) + F_316(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_20(x)*F_318(x))
Eq(F_318(x), F_319(x) + F_320(x))
Eq(F_319(x), F_2(x)*F_4(x))
Eq(F_320(x), F_0(x)*F_56(x))
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_20(x)*F_323(x)*F_57(x))
Eq(F_323(x), F_324(x) + F_41(x))
Eq(F_324(x), -F_315(x) + F_325(x))
Eq(F_325(x), -F_304(x) + F_326(x))
Eq(F_326(x), F_327(x)/F_20(x))
Eq(F_327(x), F_37(x))
Eq(F_328(x), F_329(x) - F_331(x))
Eq(F_329(x), F_330(x)/F_20(x))
Eq(F_330(x), F_300(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x) + F_357(x))
Eq(F_333(x), F_334(x) - F_356(x))
Eq(F_334(x), F_335(x) + F_336(x))
Eq(F_335(x), F_0(x)*F_4(x))
Eq(F_336(x), F_337(x) - F_340(x))
Eq(F_337(x), F_329(x) - F_338(x))
Eq(F_338(x), F_339(x)/F_20(x))
Eq(F_339(x), F_9(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_342(x) - F_344(x))
Eq(F_342(x), F_343(x)/F_20(x))
Eq(F_343(x), F_102(x))
Eq(F_344(x), F_345(x) + F_347(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_26(x)*F_47(x))
Eq(F_347(x), F_348(x) + F_354(x))
Eq(F_348(x), F_349(x) + F_353(x))
Eq(F_349(x), F_350(x) - F_352(x))
Eq(F_350(x), F_351(x)/F_20(x))
Eq(F_351(x), F_11(x))
Eq(F_352(x), F_96(x))
Eq(F_353(x), F_98(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_20(x)*F_348(x))
Eq(F_356(x), F_300(x) + F_4(x))
Eq(F_357(x), F_358(x) - F_360(x))
Eq(F_358(x), F_359(x)/F_20(x))
Eq(F_359(x), F_101(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_354(x) - F_362(x))
Eq(F_362(x), F_20(x)*F_92(x))
Eq(F_363(x), F_364(x) - F_368(x))
Eq(F_364(x), F_365(x))
Eq(F_365(x), F_20(x)*F_366(x))
Eq(F_366(x), F_367(x)/F_20(x))
Eq(F_367(x), F_284(x))
Eq(F_368(x), F_369(x) - F_478(x))
Eq(F_369(x), F_370(x)/F_20(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x) - F_378(x))
Eq(F_372(x), F_373(x)/F_20(x))
Eq(F_373(x), F_374(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_20(x)*F_26(x)*F_376(x))
Eq(F_376(x), F_300(x) + F_377(x))
Eq(F_377(x), F_374(x) + F_5(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_20(x)*F_27(x)*F_380(x))
Eq(F_380(x), F_381(x) + F_477(x))
Eq(F_381(x), F_26(x)*F_382(x))
Eq(F_382(x), F_371(x) + F_383(x))
Eq(F_383(x), F_384(x) - F_389(x))
Eq(F_384(x), F_385(x)/F_20(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_387(x) + F_5(x))
Eq(F_387(x), F_300(x) - F_388(x))
Eq(F_388(x), F_2(x) + F_316(x))
Eq(F_389(x), F_390(x) - F_392(x))
Eq(F_390(x), F_391(x)/F_20(x))
Eq(F_391(x), F_387(x))
Eq(F_392(x), F_393(x))
Eq(F_393(x), F_20(x)*F_394(x))
Eq(F_394(x), F_395(x) - F_460(x))
Eq(F_395(x), F_396(x)/(F_20(x)*F_27(x)))
Eq(F_396(x), F_397(x))
Eq(F_397(x), F_20(x)*F_398(x))
Eq(F_398(x), F_399(x) + F_453(x))
Eq(F_399(x), F_400(x) + F_426(x))
Eq(F_400(x), F_401(x)/F_20(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_403(x) + F_425(x))
Eq(F_403(x), F_404(x) - F_424(x))
Eq(F_404(x), F_405(x)/F_20(x))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_20(x)*F_407(x))
Eq(F_407(x), F_408(x) + F_413(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_27(x)*F_410(x))
Eq(F_410(x), F_411(x))
Eq(F_411(x), F_20(x)*F_26(x)*F_412(x))
Eq(F_412(x), F_135(x) + F_410(x))
Eq(F_413(x), F_414(x) - F_422(x))
Eq(F_414(x), F_415(x) + F_420(x))
Eq(F_415(x), F_416(x) + F_417(x))
Eq(F_416(x), F_136(x) + F_410(x))
Eq(F_417(x), -F_410(x) + F_418(x))
Eq(F_418(x), F_419(x)/F_20(x))
Eq(F_419(x), F_55(x))
Eq(F_420(x), F_421(x))
Eq(F_421(x), F_20(x)*F_414(x)*F_88(x))
Eq(F_422(x), F_423(x))
Eq(F_423(x), F_27(x)*F_416(x))
Eq(F_424(x), F_27(x)*F_96(x))
Eq(F_425(x), F_27(x)*F_98(x))
Eq(F_426(x), F_427(x) - F_429(x))
Eq(F_427(x), F_428(x)/F_20(x))
Eq(F_428(x), F_190(x))
Eq(F_429(x), F_430(x) + F_432(x))
Eq(F_430(x), F_431(x)/F_20(x))
Eq(F_431(x), F_413(x))
Eq(F_432(x), F_20(x)*F_27(x)*F_433(x))
Eq(F_433(x), F_434(x) + F_439(x))
Eq(F_434(x), F_435(x) + F_437(x))
Eq(F_435(x), F_436(x)/F_20(x))
Eq(F_436(x), F_93(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_169(x)*F_20(x)*F_88(x))
Eq(F_439(x), F_440(x) - F_450(x))
Eq(F_440(x), F_441(x)/F_20(x))
Eq(F_441(x), F_442(x))
Eq(F_442(x), F_417(x) - F_443(x))
Eq(F_443(x), F_444(x) + F_445(x))
Eq(F_444(x), F_137(x)*F_2(x))
Eq(F_445(x), F_446(x))
Eq(F_446(x), F_20(x)*F_447(x))
Eq(F_447(x), F_448(x) + F_449(x))
Eq(F_448(x), F_163(x)*F_57(x))
Eq(F_449(x), F_167(x)*F_74(x))
Eq(F_450(x), F_434(x) - F_451(x))
Eq(F_451(x), F_452(x)/F_20(x))
Eq(F_452(x), F_443(x))
Eq(F_453(x), F_20(x)*F_27(x)*F_454(x))
Eq(F_454(x), F_434(x) + F_455(x))
Eq(F_455(x), F_456(x))
Eq(F_456(x), F_457(x)*F_88(x))
Eq(F_457(x), F_458(x) + F_47(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_20(x)*F_457(x)*F_88(x))
Eq(F_460(x), F_20(x)*F_461(x))
Eq(F_461(x), F_394(x) - F_462(x))
Eq(F_462(x), F_463(x) - F_465(x))
Eq(F_463(x), F_464(x)/F_20(x))
Eq(F_464(x), F_439(x))
Eq(F_465(x), F_466(x) + F_472(x))
Eq(F_466(x), F_467(x)/F_20(x))
Eq(F_467(x), F_468(x))
Eq(F_468(x), -F_412(x) + F_469(x))
Eq(F_469(x), F_415(x) + F_470(x))
Eq(F_470(x), F_471(x))
Eq(F_471(x), F_0(x)*F_176(x)*F_20(x))
Eq(F_472(x), F_463(x) - F_473(x))
Eq(F_473(x), F_474(x) - F_476(x))
Eq(F_474(x), F_475(x)/F_20(x))
Eq(F_475(x), F_439(x))
Eq(F_476(x), F_20(x)*F_466(x))
Eq(F_477(x), F_371(x))
Eq(F_478(x), F_328(x) - F_479(x))
Eq(F_479(x), F_120(x) + F_92(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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "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, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "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": 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"Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25270/
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[17,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[17,x]*F[7,x]
F[7,x] = F[108,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[0,x]*F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[17,x]
F[13,x] = F[103,x]+F[14,x]
F[14,x] = F[15,x]*F[18,x]
F[15,x] = 1/F[17,x]*F[16,x]
F[16,x] = F[2,x]
F[17,x] = x
F[18,x] = F[19,x]+F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[17,x]*F[21,x]
F[21,x] = F[22,x]+F[27,x]
F[22,x] = F[23,x]+F[25,x]
F[23,x] = F[2,x]*F[24,x]
F[24,x] = F[1,x]+F[17,x]
F[25,x] = F[26,x]
F[26,x] = F[17,x]*F[21,x]*F[24,x]
F[27,x] = F[28,x]+F[83,x]
F[28,x] = F[18,x]+F[29,x]
F[29,x] = -F[23,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[17,x]*F[32,x]
F[32,x] = F[33,x]+F[38,x]
F[33,x] = 1/F[17,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[2,x]+F[36,x]
F[36,x] = -F[2,x]+F[37,x]
F[37,x] = -F[0,x]+F[15,x]
F[38,x] = F[39,x]
F[39,x] = F[17,x]*F[40,x]
F[40,x] = F[33,x]+F[41,x]
F[41,x] = -F[101,x]+F[42,x]
F[42,x] = 1/F[17,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x]+F[73,x]
F[45,x] = F[46,x]
F[46,x] = F[17,x]*F[47,x]
F[47,x] = F[48,x]+F[69,x]
F[48,x] = F[2,x]*F[49,x]
F[49,x] = F[0,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[17,x]*F[52,x]
F[52,x] = F[53,x]+F[66,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[17,x]*F[24,x]*F[56,x]*F[59,x]
F[56,x] = F[49,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[17,x]*F[24,x]*F[52,x]*F[59,x]
F[59,x] = F[1,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[17,x]*F[62,x]
F[62,x] = F[59,x]+F[63,x]
F[63,x] = F[17,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[17,x]*F[60,x]
F[66,x] = -F[54,x]+F[67,x]
F[67,x] = 1/F[17,x]*F[68,x]
F[68,x] = F[19,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]*F[52,x]*F[71,x]
F[71,x] = F[0,x]+F[72,x]
F[72,x] = F[2,x]+F[45,x]
F[73,x] = F[74,x]
F[74,x] = F[17,x]*F[75,x]
F[75,x] = F[76,x]+F[81,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[15,x]*F[36,x]
F[78,x] = F[71,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[17,x]*F[18,x]
F[81,x] = F[71,x]*F[82,x]
F[82,x] = F[29,x]+F[83,x]
F[83,x] = -F[100,x]+F[84,x]
F[84,x] = F[85,x]+F[97,x]
F[85,x] = -F[88,x]+F[86,x]
F[86,x] = 1/F[17,x]*F[87,x]
F[87,x] = F[36,x]
F[88,x] = F[89,x]
F[89,x] = F[17,x]*F[90,x]
F[90,x] = F[91,x]+F[96,x]
F[91,x] = F[32,x]+F[92,x]
F[92,x] = F[54,x]*F[93,x]
F[93,x] = F[0,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[0,x]^2*F[17,x]
F[96,x] = F[66,x]*F[93,x]
F[97,x] = F[25,x]+F[98,x]
F[98,x] = -F[29,x]+F[99,x]
F[99,x] = -F[22,x]+F[88,x]
F[100,x] = F[25,x]+F[35,x]
F[101,x] = F[102,x]
F[102,x] = F[17,x]*F[71,x]*F[90,x]
F[103,x] = F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[17,x]*F[106,x]
F[106,x] = F[36,x]
F[107,x] = F[15,x]*F[2,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[17,x]
F[110,x] = F[111,x]+F[126,x]
F[111,x] = F[112,x]+F[115,x]
F[112,x] = F[113,x]+F[7,x]
F[113,x] = F[114,x]
F[114,x] = F[17,x]*F[40,x]
F[115,x] = F[116,x]
F[116,x] = F[0,x]*F[117,x]
F[117,x] = F[118,x]+F[121,x]
F[118,x] = F[119,x]+F[85,x]
F[119,x] = F[120,x]
F[120,x] = F[0,x]*F[17,x]*F[67,x]
F[121,x] = F[122,x]
F[122,x] = -F[125,x]+F[123,x]
F[123,x] = 1/F[17,x]*F[124,x]
F[124,x] = F[29,x]
F[125,x] = F[24,x]*F[86,x]
F[126,x] = F[127,x]+F[369,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[17,x]
F[129,x] = 1/F[17,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[17,x]
F[133,x] = 1/F[17,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]+F[349,x]
F[136,x] = F[137,x]*F[37,x]
F[137,x] = F[138,x]+F[174,x]
F[138,x] = F[139,x]+F[165,x]
F[139,x] = F[1,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[17,x]
F[142,x] = F[139,x]+F[143,x]
F[143,x] = F[144,x]+F[60,x]
F[144,x] = F[145,x]+F[146,x]+F[152,x]
F[145,x] = 0
F[146,x] = F[147,x]*F[17,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[140,x]+F[144,x]
F[149,x] = F[150,x]+F[164,x]
F[150,x] = F[145,x]+F[151,x]+F[152,x]
F[151,x] = F[140,x]*F[17,x]
F[152,x] = F[153,x]*F[17,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[150,x]+F[17,x]
F[155,x] = F[156,x]+F[159,x]
F[156,x] = F[145,x]+F[157,x]+F[65,x]
F[157,x] = F[158,x]*F[17,x]
F[158,x] = F[63,x]
F[159,x] = F[145,x]+F[160,x]+F[161,x]+F[163,x]
F[160,x] = F[144,x]*F[17,x]
F[161,x] = F[162,x]*F[17,x]
F[162,x] = F[149,x]
F[163,x] = 0
F[164,x] = F[160,x]
F[165,x] = F[166,x]+F[2,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[17,x]
F[168,x] = F[169,x]+F[266,x]
F[169,x] = F[165,x]+F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[17,x]*F[172,x]*F[24,x]*F[59,x]
F[172,x] = F[165,x]+F[173,x]
F[173,x] = -F[181,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[17,x]*F[176,x]
F[176,x] = F[177,x]+F[179,x]
F[177,x] = 1/F[17,x]*F[178,x]
F[178,x] = F[30,x]
F[179,x] = F[180,x]
F[180,x] = F[17,x]*F[176,x]*F[93,x]
F[181,x] = F[182,x]+F[60,x]
F[182,x] = F[145,x]+F[183,x]+F[262,x]
F[183,x] = F[17,x]*F[184,x]
F[184,x] = F[181,x]+F[185,x]
F[185,x] = F[186,x]+F[203,x]
F[186,x] = F[145,x]+F[187,x]+F[192,x]
F[187,x] = F[17,x]*F[188,x]
F[188,x] = F[189,x]+F[190,x]
F[189,x] = F[186,x]+F[60,x]
F[190,x] = F[191,x]+F[201,x]
F[191,x] = F[145,x]+F[192,x]+F[65,x]
F[192,x] = F[17,x]*F[193,x]
F[193,x] = F[194,x]+F[196,x]
F[194,x] = F[17,x]+F[195,x]
F[195,x] = F[65,x]
F[196,x] = F[197,x]+F[199,x]
F[197,x] = F[198,x]
F[198,x] = x^2
F[199,x] = F[200,x]
F[200,x] = F[17,x]*F[195,x]
F[201,x] = F[202,x]
F[202,x] = F[17,x]*F[186,x]
F[203,x] = F[145,x]+F[204,x]+F[210,x]+F[224,x]
F[204,x] = F[17,x]*F[205,x]
F[205,x] = F[206,x]+F[207,x]
F[206,x] = F[182,x]+F[203,x]
F[207,x] = F[208,x]+F[261,x]
F[208,x] = F[145,x]+F[209,x]+F[210,x]+F[224,x]
F[209,x] = F[17,x]*F[182,x]
F[210,x] = F[17,x]*F[211,x]
F[211,x] = F[212,x]+F[213,x]
F[212,x] = F[191,x]+F[208,x]
F[213,x] = F[214,x]+F[218,x]
F[214,x] = F[145,x]+F[202,x]+F[215,x]+F[217,x]
F[215,x] = F[17,x]*F[216,x]
F[216,x] = F[190,x]
F[217,x] = 0
F[218,x] = F[145,x]+F[219,x]+F[220,x]+F[222,x]+F[223,x]
F[219,x] = F[17,x]*F[203,x]
F[220,x] = F[17,x]*F[221,x]
F[221,x] = F[207,x]
F[222,x] = 0
F[223,x] = 0
F[224,x] = F[17,x]*F[225,x]
F[225,x] = F[226,x]+F[240,x]
F[226,x] = F[227,x]+F[230,x]
F[227,x] = F[145,x]+F[228,x]+F[65,x]
F[228,x] = F[17,x]*F[229,x]
F[229,x] = F[194,x]
F[230,x] = 2*F[145,x]+F[231,x]+F[238,x]
F[231,x] = F[17,x]*F[232,x]
F[232,x] = F[233,x]
F[233,x] = F[17,x]*F[234,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[232,x]+F[60,x]
F[236,x] = F[195,x]+F[237,x]
F[237,x] = F[231,x]
F[238,x] = F[17,x]*F[239,x]
F[239,x] = F[236,x]
F[240,x] = F[241,x]+F[251,x]
F[241,x] = 2*F[145,x]+F[242,x]+F[249,x]
F[242,x] = F[17,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[17,x]*F[245,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[17,x]+F[243,x]
F[247,x] = F[197,x]+F[248,x]
F[248,x] = F[242,x]
F[249,x] = F[17,x]*F[250,x]
F[250,x] = F[247,x]
F[251,x] = 3*F[145,x]+F[252,x]+F[259,x]
F[252,x] = F[17,x]*F[253,x]
F[253,x] = F[254,x]
F[254,x] = F[17,x]*F[255,x]
F[255,x] = F[256,x]+F[257,x]
F[256,x] = F[195,x]+F[253,x]
F[257,x] = F[199,x]+F[258,x]
F[258,x] = F[252,x]
F[259,x] = F[17,x]*F[260,x]
F[260,x] = F[257,x]
F[261,x] = F[219,x]
F[262,x] = F[17,x]*F[263,x]
F[263,x] = F[264,x]+F[265,x]
F[264,x] = F[232,x]+F[60,x]
F[265,x] = F[243,x]+F[253,x]
F[266,x] = -F[269,x]+F[267,x]
F[267,x] = 1/F[17,x]*F[268,x]
F[268,x] = F[36,x]
F[269,x] = F[170,x]+F[270,x]
F[270,x] = F[271,x]+F[60,x]
F[271,x] = F[145,x]+F[272,x]+F[345,x]
F[272,x] = F[17,x]*F[273,x]
F[273,x] = F[270,x]+F[274,x]
F[274,x] = F[275,x]+F[289,x]
F[275,x] = F[145,x]+F[276,x]+F[281,x]
F[276,x] = F[17,x]*F[277,x]
F[277,x] = F[278,x]+F[279,x]
F[278,x] = F[275,x]+F[60,x]
F[279,x] = F[280,x]+F[287,x]
F[280,x] = F[145,x]+F[281,x]+F[65,x]
F[281,x] = F[17,x]*F[282,x]
F[282,x] = F[283,x]+F[63,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[198,x]
F[285,x] = F[286,x]
F[286,x] = F[17,x]*F[64,x]
F[287,x] = F[288,x]
F[288,x] = F[17,x]*F[275,x]
F[289,x] = F[145,x]+F[290,x]+F[296,x]+F[310,x]
F[290,x] = F[17,x]*F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[271,x]+F[289,x]
F[293,x] = F[294,x]+F[344,x]
F[294,x] = F[145,x]+F[295,x]+F[296,x]+F[310,x]
F[295,x] = F[17,x]*F[271,x]
F[296,x] = F[17,x]*F[297,x]
F[297,x] = F[298,x]+F[299,x]
F[298,x] = F[280,x]+F[294,x]
F[299,x] = F[300,x]+F[304,x]
F[300,x] = F[145,x]+F[288,x]+F[301,x]+F[303,x]
F[301,x] = F[17,x]*F[302,x]
F[302,x] = F[279,x]
F[303,x] = 0
F[304,x] = F[145,x]+F[305,x]+F[306,x]+F[308,x]+F[309,x]
F[305,x] = F[17,x]*F[289,x]
F[306,x] = F[17,x]*F[307,x]
F[307,x] = F[293,x]
F[308,x] = 0
F[309,x] = 0
F[310,x] = F[17,x]*F[311,x]
F[311,x] = F[312,x]+F[323,x]
F[312,x] = F[156,x]+F[313,x]
F[313,x] = 2*F[145,x]+F[314,x]+F[321,x]
F[314,x] = F[17,x]*F[315,x]
F[315,x] = F[316,x]
F[316,x] = F[17,x]*F[317,x]
F[317,x] = F[318,x]+F[319,x]
F[318,x] = F[315,x]+F[60,x]
F[319,x] = F[320,x]+F[64,x]
F[320,x] = F[314,x]
F[321,x] = F[17,x]*F[322,x]
F[322,x] = F[319,x]
F[323,x] = F[324,x]+F[334,x]
F[324,x] = 2*F[145,x]+F[325,x]+F[332,x]
F[325,x] = F[17,x]*F[326,x]
F[326,x] = F[327,x]
F[327,x] = F[17,x]*F[328,x]
F[328,x] = F[329,x]+F[330,x]
F[329,x] = F[17,x]+F[326,x]
F[330,x] = F[284,x]+F[331,x]
F[331,x] = F[325,x]
F[332,x] = F[17,x]*F[333,x]
F[333,x] = F[330,x]
F[334,x] = 3*F[145,x]+F[335,x]+F[342,x]
F[335,x] = F[17,x]*F[336,x]
F[336,x] = F[337,x]
F[337,x] = F[17,x]*F[338,x]
F[338,x] = F[339,x]+F[340,x]
F[339,x] = F[336,x]+F[64,x]
F[340,x] = F[285,x]+F[341,x]
F[341,x] = F[335,x]
F[342,x] = F[17,x]*F[343,x]
F[343,x] = F[340,x]
F[344,x] = F[305,x]
F[345,x] = F[17,x]*F[346,x]
F[346,x] = F[347,x]+F[348,x]
F[347,x] = F[315,x]+F[60,x]
F[348,x] = F[326,x]+F[336,x]
F[349,x] = F[350,x]*F[72,x]
F[350,x] = -F[361,x]+F[351,x]
F[351,x] = 1/F[17,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = -F[18,x]+F[354,x]
F[354,x] = F[355,x]
F[355,x] = F[17,x]*F[356,x]
F[356,x] = 1/F[17,x]*F[357,x]
F[357,x] = F[358,x]
F[358,x] = -F[174,x]+F[359,x]
F[359,x] = 1/F[17,x]*F[360,x]
F[360,x] = F[19,x]
F[361,x] = F[362,x]+F[364,x]
F[362,x] = F[2,x]*F[363,x]
F[363,x] = F[137,x]+F[350,x]
F[364,x] = -F[365,x]+F[131,x]
F[365,x] = F[366,x]
F[366,x] = F[17,x]*F[367,x]
F[367,x] = F[131,x]+F[368,x]
F[368,x] = F[0,x]*F[363,x]
F[369,x] = F[370,x]
F[370,x] = F[0,x]*F[371,x]
F[371,x] = F[372,x]
F[372,x] = -F[444,x]+F[373,x]
F[373,x] = F[374,x]+F[443,x]
F[374,x] = -F[406,x]+F[375,x]
F[375,x] = 1/F[17,x]*F[376,x]
F[376,x] = F[377,x]
F[377,x] = F[378,x]
F[378,x] = F[17,x]*F[379,x]
F[379,x] = 1/F[17,x]*F[380,x]
F[380,x] = F[381,x]
F[381,x] = F[382,x]+F[398,x]
F[382,x] = -F[391,x]+F[383,x]
F[383,x] = F[384,x]+F[385,x]
F[384,x] = F[0,x]^2
F[385,x] = F[35,x]+F[386,x]
F[386,x] = F[387,x]
F[387,x] = F[17,x]*F[388,x]
F[388,x] = F[389,x]+F[390,x]
F[389,x] = F[35,x]*F[4,x]
F[390,x] = F[0,x]*F[113,x]
F[391,x] = F[0,x]+F[392,x]
F[392,x] = F[2,x]+F[393,x]
F[393,x] = F[394,x]
F[394,x] = F[17,x]*F[395,x]
F[395,x] = F[396,x]+F[397,x]
F[396,x] = F[2,x]*F[4,x]
F[397,x] = F[0,x]*F[35,x]
F[398,x] = F[399,x]
F[399,x] = F[15,x]*F[17,x]*F[400,x]
F[400,x] = F[18,x]+F[401,x]
F[401,x] = -F[405,x]+F[402,x]
F[402,x] = -F[381,x]+F[403,x]
F[403,x] = 1/F[17,x]*F[404,x]
F[404,x] = F[19,x]
F[405,x] = F[2,x]+F[393,x]
F[406,x] = -F[409,x]+F[407,x]
F[407,x] = 1/F[17,x]*F[408,x]
F[408,x] = F[377,x]
F[409,x] = F[410,x]
F[410,x] = F[411,x]+F[437,x]
F[411,x] = -F[434,x]+F[412,x]
F[412,x] = F[413,x]+F[414,x]
F[413,x] = F[0,x]*F[4,x]
F[414,x] = -F[418,x]+F[415,x]
F[415,x] = -F[416,x]+F[407,x]
F[416,x] = 1/F[17,x]*F[417,x]
F[417,x] = F[9,x]
F[418,x] = F[419,x]
F[419,x] = -F[422,x]+F[420,x]
F[420,x] = 1/F[17,x]*F[421,x]
F[421,x] = F[99,x]
F[422,x] = F[423,x]+F[425,x]
F[423,x] = F[424,x]
F[424,x] = F[24,x]*F[30,x]
F[425,x] = F[426,x]+F[432,x]
F[426,x] = F[427,x]+F[431,x]
F[427,x] = -F[430,x]+F[428,x]
F[428,x] = 1/F[17,x]*F[429,x]
F[429,x] = F[11,x]
F[430,x] = F[88,x]
F[431,x] = F[97,x]
F[432,x] = F[433,x]
F[433,x] = F[17,x]*F[426,x]
F[434,x] = F[391,x]+F[435,x]
F[435,x] = F[436,x]+F[5,x]
F[436,x] = -F[392,x]+F[377,x]
F[437,x] = -F[440,x]+F[438,x]
F[438,x] = 1/F[17,x]*F[439,x]
F[439,x] = F[98,x]
F[440,x] = F[441,x]
F[441,x] = -F[442,x]+F[432,x]
F[442,x] = F[17,x]*F[84,x]
F[443,x] = -F[448,x]+F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[17,x]*F[446,x]
F[446,x] = 1/F[17,x]*F[447,x]
F[447,x] = F[361,x]
F[448,x] = -F[561,x]+F[449,x]
F[449,x] = 1/F[17,x]*F[450,x]
F[450,x] = F[451,x]
F[451,x] = -F[458,x]+F[452,x]
F[452,x] = 1/F[17,x]*F[453,x]
F[453,x] = F[454,x]
F[454,x] = F[455,x]
F[455,x] = F[17,x]*F[24,x]*F[456,x]
F[456,x] = F[377,x]+F[457,x]
F[457,x] = F[454,x]+F[5,x]
F[458,x] = F[459,x]
F[459,x] = F[17,x]*F[460,x]*F[59,x]
F[460,x] = F[461,x]+F[560,x]
F[461,x] = F[24,x]*F[462,x]
F[462,x] = F[451,x]+F[463,x]
F[463,x] = -F[466,x]+F[464,x]
F[464,x] = 1/F[17,x]*F[465,x]
F[465,x] = F[435,x]
F[466,x] = -F[469,x]+F[467,x]
F[467,x] = 1/F[17,x]*F[468,x]
F[468,x] = F[436,x]
F[469,x] = F[470,x]
F[470,x] = F[17,x]*F[471,x]
F[471,x] = -F[542,x]+F[472,x]
F[472,x] = 1/F[17,x]/F[59,x]*F[473,x]
F[473,x] = F[474,x]
F[474,x] = F[17,x]*F[475,x]
F[475,x] = F[476,x]+F[497,x]
F[476,x] = F[477,x]+F[535,x]
F[477,x] = 1/F[17,x]*F[478,x]
F[478,x] = F[479,x]
F[479,x] = F[480,x]+F[534,x]
F[480,x] = -F[533,x]+F[481,x]
F[481,x] = -F[532,x]+F[482,x]
F[482,x] = -F[495,x]+F[483,x]
F[483,x] = 1/F[17,x]*F[484,x]
F[484,x] = F[485,x]
F[485,x] = F[486,x]
F[486,x] = F[17,x]*F[487,x]
F[487,x] = F[488,x]+F[490,x]
F[488,x] = F[489,x]
F[489,x] = F[24,x]*F[269,x]*F[59,x]
F[490,x] = -F[493,x]+F[491,x]
F[491,x] = 1/F[17,x]*F[492,x]
F[492,x] = F[173,x]
F[493,x] = F[494,x]
F[494,x] = F[169,x]*F[24,x]*F[59,x]
F[495,x] = F[496,x]
F[496,x] = F[17,x]*F[497,x]
F[497,x] = -F[500,x]+F[498,x]
F[498,x] = 1/F[17,x]*F[499,x]
F[499,x] = F[490,x]
F[500,x] = F[501,x]+F[511,x]
F[501,x] = 1/F[17,x]*F[502,x]
F[502,x] = F[503,x]
F[503,x] = -F[509,x]+F[504,x]
F[504,x] = F[505,x]+F[507,x]
F[505,x] = F[266,x]+F[506,x]
F[506,x] = F[138,x]+F[269,x]
F[507,x] = F[508,x]
F[508,x] = F[17,x]*F[504,x]*F[93,x]
F[509,x] = F[510,x]
F[510,x] = F[506,x]*F[59,x]
F[511,x] = F[17,x]*F[512,x]*F[59,x]
F[512,x] = F[513,x]+F[518,x]
F[513,x] = F[514,x]+F[516,x]
F[514,x] = 1/F[17,x]*F[515,x]
F[515,x] = F[85,x]
F[516,x] = F[517,x]
F[517,x] = F[17,x]*F[356,x]*F[93,x]
F[518,x] = -F[529,x]+F[519,x]
F[519,x] = 1/F[17,x]*F[520,x]
F[520,x] = F[521,x]
F[521,x] = -F[522,x]+F[266,x]
F[522,x] = F[523,x]+F[524,x]
F[523,x] = F[139,x]*F[2,x]
F[524,x] = F[525,x]
F[525,x] = F[17,x]*F[526,x]
F[526,x] = F[527,x]+F[528,x]
F[527,x] = F[15,x]*F[165,x]
F[528,x] = F[354,x]*F[71,x]
F[529,x] = -F[530,x]+F[513,x]
F[530,x] = 1/F[17,x]*F[531,x]
F[531,x] = F[522,x]
F[532,x] = F[17,x]*F[59,x]*F[86,x]
F[533,x] = F[59,x]*F[88,x]
F[534,x] = F[59,x]*F[97,x]
F[535,x] = F[17,x]*F[536,x]*F[59,x]
F[536,x] = F[513,x]+F[537,x]
F[537,x] = F[538,x]
F[538,x] = F[539,x]*F[93,x]
F[539,x] = F[485,x]+F[540,x]
F[540,x] = F[541,x]
F[541,x] = F[2,x]*F[24,x]*F[59,x]
F[542,x] = F[17,x]*F[543,x]
F[543,x] = -F[544,x]+F[471,x]
F[544,x] = -F[547,x]+F[545,x]
F[545,x] = 1/F[17,x]*F[546,x]
F[546,x] = F[518,x]
F[547,x] = F[548,x]+F[555,x]
F[548,x] = 1/F[17,x]*F[549,x]
F[549,x] = F[550,x]
F[550,x] = -F[554,x]+F[551,x]
F[551,x] = F[505,x]+F[552,x]
F[552,x] = F[553,x]
F[553,x] = F[0,x]*F[17,x]*F[176,x]
F[554,x] = F[137,x]+F[269,x]
F[555,x] = -F[556,x]+F[545,x]
F[556,x] = -F[559,x]+F[557,x]
F[557,x] = 1/F[17,x]*F[558,x]
F[558,x] = F[518,x]
F[559,x] = F[17,x]*F[548,x]
F[560,x] = F[451,x]
F[561,x] = -F[562,x]+F[406,x]
F[562,x] = F[122,x]+F[84,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_{17}\! \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_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{17}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{108}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right)
F_{13}\! \left(x \right) = F_{103}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{23}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{83}\! \left(x \right)
F_{28}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{17}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{15}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{33}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{73}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{17}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{69}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{17}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{66}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{56}\! \left(x \right) F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{49}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{52}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{17}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{59}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{17}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{17}\! \left(x \right) F_{60}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{19}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17}\! \left(x \right) F_{52}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{17}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{81}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{36}\! \left(x \right)
F_{78}\! \left(x \right) = F_{71}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right)
F_{81}\! \left(x \right) = F_{71}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{29}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{97}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{36}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{17}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{96}\! \left(x \right)
F_{91}\! \left(x \right) = F_{32}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{54}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{17}\! \left(x \right)
F_{96}\! \left(x \right) = F_{66}\! \left(x \right) F_{93}\! \left(x \right)
F_{97}\! \left(x \right) = F_{25}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{88}\! \left(x \right)
F_{100}\! \left(x \right) = F_{25}\! \left(x \right)+F_{35}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{17}\! \left(x \right) F_{71}\! \left(x \right) F_{90}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \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_{17}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{36}\! \left(x \right)
F_{107}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{17}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{126}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{7}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{121}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{85}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{67}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{125}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{29}\! \left(x \right)
F_{125}\! \left(x \right) = F_{24}\! \left(x \right) F_{86}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{369}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{17}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{17}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{349}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{37}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{174}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{165}\! \left(x \right)
F_{139}\! \left(x \right) = F_{1}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{17}\! \left(x \right)
F_{142}\! \left(x \right) = F_{139}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{60}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{146}\! \left(x \right)+F_{152}\! \left(x \right)
F_{145}\! \left(x \right) = 0
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{17}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{140}\! \left(x \right)+F_{144}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{164}\! \left(x \right)
F_{150}\! \left(x \right) = F_{145}\! \left(x \right)+F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{140}\! \left(x \right) F_{17}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{17}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{150}\! \left(x \right)+F_{17}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{159}\! \left(x \right)
F_{156}\! \left(x \right) = F_{145}\! \left(x \right)+F_{157}\! \left(x \right)+F_{65}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{17}\! \left(x \right)
F_{158}\! \left(x \right) = F_{63}\! \left(x \right)
F_{159}\! \left(x \right) = F_{145}\! \left(x \right)+F_{160}\! \left(x \right)+F_{161}\! \left(x \right)+F_{163}\! \left(x \right)
F_{160}\! \left(x \right) = F_{144}\! \left(x \right) F_{17}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right)
F_{162}\! \left(x \right) = F_{149}\! \left(x \right)
F_{163}\! \left(x \right) = 0
F_{164}\! \left(x \right) = F_{160}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{2}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{17}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{266}\! \left(x \right)
F_{169}\! \left(x \right) = F_{165}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{17}\! \left(x \right) F_{172}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{172}\! \left(x \right) = F_{165}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{17}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{30}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{17}\! \left(x \right) F_{176}\! \left(x \right) F_{93}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{60}\! \left(x \right)
F_{182}\! \left(x \right) = F_{145}\! \left(x \right)+F_{183}\! \left(x \right)+F_{262}\! \left(x \right)
F_{183}\! \left(x \right) = F_{17}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{181}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{203}\! \left(x \right)
F_{186}\! \left(x \right) = F_{145}\! \left(x \right)+F_{187}\! \left(x \right)+F_{192}\! \left(x \right)
F_{187}\! \left(x \right) = F_{17}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{190}\! \left(x \right)
F_{189}\! \left(x \right) = F_{186}\! \left(x \right)+F_{60}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{201}\! \left(x \right)
F_{191}\! \left(x \right) = F_{145}\! \left(x \right)+F_{192}\! \left(x \right)+F_{65}\! \left(x \right)
F_{192}\! \left(x \right) = F_{17}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = F_{17}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{65}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{199}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = x^{2}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{17}\! \left(x \right) F_{195}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{17}\! \left(x \right) F_{186}\! \left(x \right)
F_{203}\! \left(x \right) = F_{145}\! \left(x \right)+F_{204}\! \left(x \right)+F_{210}\! \left(x \right)+F_{224}\! \left(x \right)
F_{204}\! \left(x \right) = F_{17}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{207}\! \left(x \right)
F_{206}\! \left(x \right) = F_{182}\! \left(x \right)+F_{203}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{261}\! \left(x \right)
F_{208}\! \left(x \right) = F_{145}\! \left(x \right)+F_{209}\! \left(x \right)+F_{210}\! \left(x \right)+F_{224}\! \left(x \right)
F_{209}\! \left(x \right) = F_{17}\! \left(x \right) F_{182}\! \left(x \right)
F_{210}\! \left(x \right) = F_{17}\! \left(x \right) F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{213}\! \left(x \right)
F_{212}\! \left(x \right) = F_{191}\! \left(x \right)+F_{208}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{218}\! \left(x \right)
F_{214}\! \left(x \right) = F_{145}\! \left(x \right)+F_{202}\! \left(x \right)+F_{215}\! \left(x \right)+F_{217}\! \left(x \right)
F_{215}\! \left(x \right) = F_{17}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{190}\! \left(x \right)
F_{217}\! \left(x \right) = 0
F_{218}\! \left(x \right) = F_{145}\! \left(x \right)+F_{219}\! \left(x \right)+F_{220}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{219}\! \left(x \right) = F_{17}\! \left(x \right) F_{203}\! \left(x \right)
F_{220}\! \left(x \right) = F_{17}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{207}\! \left(x \right)
F_{222}\! \left(x \right) = 0
F_{223}\! \left(x \right) = 0
F_{224}\! \left(x \right) = F_{17}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{240}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{230}\! \left(x \right)
F_{227}\! \left(x \right) = F_{145}\! \left(x \right)+F_{228}\! \left(x \right)+F_{65}\! \left(x \right)
F_{228}\! \left(x \right) = F_{17}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{194}\! \left(x \right)
F_{230}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{231}\! \left(x \right)+F_{238}\! \left(x \right)
F_{231}\! \left(x \right) = F_{17}\! \left(x \right) F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{17}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{232}\! \left(x \right)+F_{60}\! \left(x \right)
F_{236}\! \left(x \right) = F_{195}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{231}\! \left(x \right)
F_{238}\! \left(x \right) = F_{17}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{236}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{251}\! \left(x \right)
F_{241}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{242}\! \left(x \right)+F_{249}\! \left(x \right)
F_{242}\! \left(x \right) = F_{17}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{17}\! \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_{17}\! \left(x \right)+F_{243}\! \left(x \right)
F_{247}\! \left(x \right) = F_{197}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{242}\! \left(x \right)
F_{249}\! \left(x \right) = F_{17}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{247}\! \left(x \right)
F_{251}\! \left(x \right) = 3 F_{145}\! \left(x \right)+F_{252}\! \left(x \right)+F_{259}\! \left(x \right)
F_{252}\! \left(x \right) = F_{17}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{17}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{195}\! \left(x \right)+F_{253}\! \left(x \right)
F_{257}\! \left(x \right) = F_{199}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{252}\! \left(x \right)
F_{259}\! \left(x \right) = F_{17}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{257}\! \left(x \right)
F_{261}\! \left(x \right) = F_{219}\! \left(x \right)
F_{262}\! \left(x \right) = F_{17}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)
F_{264}\! \left(x \right) = F_{232}\! \left(x \right)+F_{60}\! \left(x \right)
F_{265}\! \left(x \right) = F_{243}\! \left(x \right)+F_{253}\! \left(x \right)
F_{266}\! \left(x \right) = -F_{269}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = \frac{F_{268}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{268}\! \left(x \right) = F_{36}\! \left(x \right)
F_{269}\! \left(x \right) = F_{170}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{60}\! \left(x \right)
F_{271}\! \left(x \right) = F_{145}\! \left(x \right)+F_{272}\! \left(x \right)+F_{345}\! \left(x \right)
F_{272}\! \left(x \right) = F_{17}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{270}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{289}\! \left(x \right)
F_{275}\! \left(x \right) = F_{145}\! \left(x \right)+F_{276}\! \left(x \right)+F_{281}\! \left(x \right)
F_{276}\! \left(x \right) = F_{17}\! \left(x \right) F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{279}\! \left(x \right)
F_{278}\! \left(x \right) = F_{275}\! \left(x \right)+F_{60}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{287}\! \left(x \right)
F_{280}\! \left(x \right) = F_{145}\! \left(x \right)+F_{281}\! \left(x \right)+F_{65}\! \left(x \right)
F_{281}\! \left(x \right) = F_{17}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{63}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{198}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{17}\! \left(x \right) F_{275}\! \left(x \right)
F_{289}\! \left(x \right) = F_{145}\! \left(x \right)+F_{290}\! \left(x \right)+F_{296}\! \left(x \right)+F_{310}\! \left(x \right)
F_{290}\! \left(x \right) = F_{17}\! \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_{271}\! \left(x \right)+F_{289}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{344}\! \left(x \right)
F_{294}\! \left(x \right) = F_{145}\! \left(x \right)+F_{295}\! \left(x \right)+F_{296}\! \left(x \right)+F_{310}\! \left(x \right)
F_{295}\! \left(x \right) = F_{17}\! \left(x \right) F_{271}\! \left(x \right)
F_{296}\! \left(x \right) = F_{17}\! \left(x \right) F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)
F_{298}\! \left(x \right) = F_{280}\! \left(x \right)+F_{294}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{304}\! \left(x \right)
F_{300}\! \left(x \right) = F_{145}\! \left(x \right)+F_{288}\! \left(x \right)+F_{301}\! \left(x \right)+F_{303}\! \left(x \right)
F_{301}\! \left(x \right) = F_{17}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{279}\! \left(x \right)
F_{303}\! \left(x \right) = 0
F_{304}\! \left(x \right) = F_{145}\! \left(x \right)+F_{305}\! \left(x \right)+F_{306}\! \left(x \right)+F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{305}\! \left(x \right) = F_{17}\! \left(x \right) F_{289}\! \left(x \right)
F_{306}\! \left(x \right) = F_{17}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{293}\! \left(x \right)
F_{308}\! \left(x \right) = 0
F_{309}\! \left(x \right) = 0
F_{310}\! \left(x \right) = F_{17}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{323}\! \left(x \right)
F_{312}\! \left(x \right) = F_{156}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{314}\! \left(x \right)+F_{321}\! \left(x \right)
F_{314}\! \left(x \right) = F_{17}\! \left(x \right) F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{17}\! \left(x \right) F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{319}\! \left(x \right)
F_{318}\! \left(x \right) = F_{315}\! \left(x \right)+F_{60}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{64}\! \left(x \right)
F_{320}\! \left(x \right) = F_{314}\! \left(x \right)
F_{321}\! \left(x \right) = F_{17}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{319}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{334}\! \left(x \right)
F_{324}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{325}\! \left(x \right)+F_{332}\! \left(x \right)
F_{325}\! \left(x \right) = F_{17}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{17}\! \left(x \right) F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{330}\! \left(x \right)
F_{329}\! \left(x \right) = F_{17}\! \left(x \right)+F_{326}\! \left(x \right)
F_{330}\! \left(x \right) = F_{284}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{325}\! \left(x \right)
F_{332}\! \left(x \right) = F_{17}\! \left(x \right) F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{330}\! \left(x \right)
F_{334}\! \left(x \right) = 3 F_{145}\! \left(x \right)+F_{335}\! \left(x \right)+F_{342}\! \left(x \right)
F_{335}\! \left(x \right) = F_{17}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{17}\! \left(x \right) F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{340}\! \left(x \right)
F_{339}\! \left(x \right) = F_{336}\! \left(x \right)+F_{64}\! \left(x \right)
F_{340}\! \left(x \right) = F_{285}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{335}\! \left(x \right)
F_{342}\! \left(x \right) = F_{17}\! \left(x \right) F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{340}\! \left(x \right)
F_{344}\! \left(x \right) = F_{305}\! \left(x \right)
F_{345}\! \left(x \right) = F_{17}\! \left(x \right) F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)+F_{348}\! \left(x \right)
F_{347}\! \left(x \right) = F_{315}\! \left(x \right)+F_{60}\! \left(x \right)
F_{348}\! \left(x \right) = F_{326}\! \left(x \right)+F_{336}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right) F_{72}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{361}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{17}\! \left(x \right) F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = \frac{F_{357}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{360}\! \left(x \right) = F_{19}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{364}\! \left(x \right)
F_{362}\! \left(x \right) = F_{2}\! \left(x \right) F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{137}\! \left(x \right)+F_{350}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{131}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{17}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{131}\! \left(x \right)+F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{0}\! \left(x \right) F_{363}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{0}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = -F_{444}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{443}\! \left(x \right)
F_{374}\! \left(x \right) = -F_{406}\! \left(x \right)+F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = \frac{F_{376}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{17}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = \frac{F_{380}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{398}\! \left(x \right)
F_{382}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{385}\! \left(x \right)
F_{384}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{385}\! \left(x \right) = F_{35}\! \left(x \right)+F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{17}\! \left(x \right) F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{390}\! \left(x \right)
F_{389}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{390}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right)
F_{391}\! \left(x \right) = F_{0}\! \left(x \right)+F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{2}\! \left(x \right)+F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = F_{17}\! \left(x \right) F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{397}\! \left(x \right)
F_{396}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{397}\! \left(x \right) = F_{0}\! \left(x \right) F_{35}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right) F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{18}\! \left(x \right)+F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = -F_{381}\! \left(x \right)+F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = \frac{F_{404}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{404}\! \left(x \right) = F_{19}\! \left(x \right)
F_{405}\! \left(x \right) = F_{2}\! \left(x \right)+F_{393}\! \left(x \right)
F_{406}\! \left(x \right) = -F_{409}\! \left(x \right)+F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{408}\! \left(x \right) = F_{377}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{437}\! \left(x \right)
F_{411}\! \left(x \right) = -F_{434}\! \left(x \right)+F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{414}\! \left(x \right)
F_{413}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{414}\! \left(x \right) = -F_{418}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = -F_{416}\! \left(x \right)+F_{407}\! \left(x \right)
F_{416}\! \left(x \right) = \frac{F_{417}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{417}\! \left(x \right) = F_{9}\! \left(x \right)
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = -F_{422}\! \left(x \right)+F_{420}\! \left(x \right)
F_{420}\! \left(x \right) = \frac{F_{421}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{421}\! \left(x \right) = F_{99}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{425}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{24}\! \left(x \right) F_{30}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{432}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{431}\! \left(x \right)
F_{427}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = \frac{F_{429}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{429}\! \left(x \right) = F_{11}\! \left(x \right)
F_{430}\! \left(x \right) = F_{88}\! \left(x \right)
F_{431}\! \left(x \right) = F_{97}\! \left(x \right)
F_{432}\! \left(x \right) = F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{17}\! \left(x \right) F_{426}\! \left(x \right)
F_{434}\! \left(x \right) = F_{391}\! \left(x \right)+F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{436}\! \left(x \right)+F_{5}\! \left(x \right)
F_{436}\! \left(x \right) = -F_{392}\! \left(x \right)+F_{377}\! \left(x \right)
F_{437}\! \left(x \right) = -F_{440}\! \left(x \right)+F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = \frac{F_{439}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{439}\! \left(x \right) = F_{98}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = -F_{442}\! \left(x \right)+F_{432}\! \left(x \right)
F_{442}\! \left(x \right) = F_{17}\! \left(x \right) F_{84}\! \left(x \right)
F_{443}\! \left(x \right) = -F_{448}\! \left(x \right)+F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{17}\! \left(x \right) F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = \frac{F_{447}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{447}\! \left(x \right) = F_{361}\! \left(x \right)
F_{448}\! \left(x \right) = -F_{561}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{450}\! \left(x \right) = F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = -F_{458}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = \frac{F_{453}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{453}\! \left(x \right) = F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{377}\! \left(x \right)+F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = F_{454}\! \left(x \right)+F_{5}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{17}\! \left(x \right) F_{460}\! \left(x \right) F_{59}\! \left(x \right)
F_{460}\! \left(x \right) = F_{461}\! \left(x \right)+F_{560}\! \left(x \right)
F_{461}\! \left(x \right) = F_{24}\! \left(x \right) F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = F_{451}\! \left(x \right)+F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = -F_{466}\! \left(x \right)+F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = \frac{F_{465}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{465}\! \left(x \right) = F_{435}\! \left(x \right)
F_{466}\! \left(x \right) = -F_{469}\! \left(x \right)+F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = \frac{F_{468}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{468}\! \left(x \right) = F_{436}\! \left(x \right)
F_{469}\! \left(x \right) = F_{470}\! \left(x \right)
F_{470}\! \left(x \right) = F_{17}\! \left(x \right) F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = -F_{542}\! \left(x \right)+F_{472}\! \left(x \right)
F_{472}\! \left(x \right) = \frac{F_{473}\! \left(x \right)}{F_{17}\! \left(x \right) F_{59}\! \left(x \right)}
F_{473}\! \left(x \right) = F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{17}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)+F_{497}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{535}\! \left(x \right)
F_{477}\! \left(x \right) = \frac{F_{478}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{478}\! \left(x \right) = F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{534}\! \left(x \right)
F_{480}\! \left(x \right) = -F_{533}\! \left(x \right)+F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = -F_{532}\! \left(x \right)+F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = -F_{495}\! \left(x \right)+F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = \frac{F_{484}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)
F_{485}\! \left(x \right) = F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{17}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)+F_{490}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)
F_{489}\! \left(x \right) = F_{24}\! \left(x \right) F_{269}\! \left(x \right) F_{59}\! \left(x \right)
F_{490}\! \left(x \right) = -F_{493}\! \left(x \right)+F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = \frac{F_{492}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{492}\! \left(x \right) = F_{173}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)
F_{494}\! \left(x \right) = F_{169}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{495}\! \left(x \right) = F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{17}\! \left(x \right) F_{497}\! \left(x \right)
F_{497}\! \left(x \right) = -F_{500}\! \left(x \right)+F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = \frac{F_{499}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{499}\! \left(x \right) = F_{490}\! \left(x \right)
F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{511}\! \left(x \right)
F_{501}\! \left(x \right) = \frac{F_{502}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{502}\! \left(x \right) = F_{503}\! \left(x \right)
F_{503}\! \left(x \right) = -F_{509}\! \left(x \right)+F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{505}\! \left(x \right)+F_{507}\! \left(x \right)
F_{505}\! \left(x \right) = F_{266}\! \left(x \right)+F_{506}\! \left(x \right)
F_{506}\! \left(x \right) = F_{138}\! \left(x \right)+F_{269}\! \left(x \right)
F_{507}\! \left(x \right) = F_{508}\! \left(x \right)
F_{508}\! \left(x \right) = F_{17}\! \left(x \right) F_{504}\! \left(x \right) F_{93}\! \left(x \right)
F_{509}\! \left(x \right) = F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = F_{506}\! \left(x \right) F_{59}\! \left(x \right)
F_{511}\! \left(x \right) = F_{17}\! \left(x \right) F_{512}\! \left(x \right) F_{59}\! \left(x \right)
F_{512}\! \left(x \right) = F_{513}\! \left(x \right)+F_{518}\! \left(x \right)
F_{513}\! \left(x \right) = F_{514}\! \left(x \right)+F_{516}\! \left(x \right)
F_{514}\! \left(x \right) = \frac{F_{515}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{515}\! \left(x \right) = F_{85}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)
F_{517}\! \left(x \right) = F_{17}\! \left(x \right) F_{356}\! \left(x \right) F_{93}\! \left(x \right)
F_{518}\! \left(x \right) = -F_{529}\! \left(x \right)+F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = \frac{F_{520}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{520}\! \left(x \right) = F_{521}\! \left(x \right)
F_{521}\! \left(x \right) = -F_{522}\! \left(x \right)+F_{266}\! \left(x \right)
F_{522}\! \left(x \right) = F_{523}\! \left(x \right)+F_{524}\! \left(x \right)
F_{523}\! \left(x \right) = F_{139}\! \left(x \right) F_{2}\! \left(x \right)
F_{524}\! \left(x \right) = F_{525}\! \left(x \right)
F_{525}\! \left(x \right) = F_{17}\! \left(x \right) F_{526}\! \left(x \right)
F_{526}\! \left(x \right) = F_{527}\! \left(x \right)+F_{528}\! \left(x \right)
F_{527}\! \left(x \right) = F_{15}\! \left(x \right) F_{165}\! \left(x \right)
F_{528}\! \left(x \right) = F_{354}\! \left(x \right) F_{71}\! \left(x \right)
F_{529}\! \left(x \right) = -F_{530}\! \left(x \right)+F_{513}\! \left(x \right)
F_{530}\! \left(x \right) = \frac{F_{531}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{531}\! \left(x \right) = F_{522}\! \left(x \right)
F_{532}\! \left(x \right) = F_{17}\! \left(x \right) F_{59}\! \left(x \right) F_{86}\! \left(x \right)
F_{533}\! \left(x \right) = F_{59}\! \left(x \right) F_{88}\! \left(x \right)
F_{534}\! \left(x \right) = F_{59}\! \left(x \right) F_{97}\! \left(x \right)
F_{535}\! \left(x \right) = F_{17}\! \left(x \right) F_{536}\! \left(x \right) F_{59}\! \left(x \right)
F_{536}\! \left(x \right) = F_{513}\! \left(x \right)+F_{537}\! \left(x \right)
F_{537}\! \left(x \right) = F_{538}\! \left(x \right)
F_{538}\! \left(x \right) = F_{539}\! \left(x \right) F_{93}\! \left(x \right)
F_{539}\! \left(x \right) = F_{485}\! \left(x \right)+F_{540}\! \left(x \right)
F_{540}\! \left(x \right) = F_{541}\! \left(x \right)
F_{541}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{542}\! \left(x \right) = F_{17}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = -F_{544}\! \left(x \right)+F_{471}\! \left(x \right)
F_{544}\! \left(x \right) = -F_{547}\! \left(x \right)+F_{545}\! \left(x \right)
F_{545}\! \left(x \right) = \frac{F_{546}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{546}\! \left(x \right) = F_{518}\! \left(x \right)
F_{547}\! \left(x \right) = F_{548}\! \left(x \right)+F_{555}\! \left(x \right)
F_{548}\! \left(x \right) = \frac{F_{549}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{549}\! \left(x \right) = F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = -F_{554}\! \left(x \right)+F_{551}\! \left(x \right)
F_{551}\! \left(x \right) = F_{505}\! \left(x \right)+F_{552}\! \left(x \right)
F_{552}\! \left(x \right) = F_{553}\! \left(x \right)
F_{553}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{176}\! \left(x \right)
F_{554}\! \left(x \right) = F_{137}\! \left(x \right)+F_{269}\! \left(x \right)
F_{555}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{545}\! \left(x \right)
F_{556}\! \left(x \right) = -F_{559}\! \left(x \right)+F_{557}\! \left(x \right)
F_{557}\! \left(x \right) = \frac{F_{558}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{558}\! \left(x \right) = F_{518}\! \left(x \right)
F_{559}\! \left(x \right) = F_{17}\! \left(x \right) F_{548}\! \left(x \right)
F_{560}\! \left(x \right) = F_{451}\! \left(x \right)
F_{561}\! \left(x \right) = -F_{562}\! \left(x \right)+F_{406}\! \left(x \right)
F_{562}\! \left(x \right) = F_{122}\! \left(x \right)+F_{84}\! \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_17(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_17(x)*F_7(x))
Eq(F_7(x), F_108(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_0(x)*F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_17(x))
Eq(F_13(x), F_103(x) + F_14(x))
Eq(F_14(x), F_15(x)*F_18(x))
Eq(F_15(x), F_16(x)/F_17(x))
Eq(F_16(x), F_2(x))
Eq(F_17(x), x)
Eq(F_18(x), F_19(x) + F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_17(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_27(x))
Eq(F_22(x), F_23(x) + F_25(x))
Eq(F_23(x), F_2(x)*F_24(x))
Eq(F_24(x), F_1(x) + F_17(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_17(x)*F_21(x)*F_24(x))
Eq(F_27(x), F_28(x) + F_83(x))
Eq(F_28(x), F_18(x) + F_29(x))
Eq(F_29(x), -F_23(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_17(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_38(x))
Eq(F_33(x), F_34(x)/F_17(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_2(x) + F_36(x))
Eq(F_36(x), -F_2(x) + F_37(x))
Eq(F_37(x), -F_0(x) + F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_17(x)*F_40(x))
Eq(F_40(x), F_33(x) + F_41(x))
Eq(F_41(x), -F_101(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_17(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) + F_73(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_17(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_69(x))
Eq(F_48(x), F_2(x)*F_49(x))
Eq(F_49(x), F_0(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_17(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_66(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_17(x)*F_24(x)*F_56(x)*F_59(x))
Eq(F_56(x), F_49(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_17(x)*F_24(x)*F_52(x)*F_59(x))
Eq(F_59(x), F_1(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_17(x)*F_62(x))
Eq(F_62(x), F_59(x) + F_63(x))
Eq(F_63(x), F_17(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_17(x)*F_60(x))
Eq(F_66(x), -F_54(x) + F_67(x))
Eq(F_67(x), F_68(x)/F_17(x))
Eq(F_68(x), F_19(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)*F_52(x)*F_71(x))
Eq(F_71(x), F_0(x) + F_72(x))
Eq(F_72(x), F_2(x) + F_45(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_17(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_81(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_15(x)*F_36(x))
Eq(F_78(x), F_71(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_17(x)*F_18(x))
Eq(F_81(x), F_71(x)*F_82(x))
Eq(F_82(x), F_29(x) + F_83(x))
Eq(F_83(x), -F_100(x) + F_84(x))
Eq(F_84(x), F_85(x) + F_97(x))
Eq(F_85(x), F_86(x) - F_88(x))
Eq(F_86(x), F_87(x)/F_17(x))
Eq(F_87(x), F_36(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_17(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_96(x))
Eq(F_91(x), F_32(x) + F_92(x))
Eq(F_92(x), F_54(x)*F_93(x))
Eq(F_93(x), F_0(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_0(x)**2*F_17(x))
Eq(F_96(x), F_66(x)*F_93(x))
Eq(F_97(x), F_25(x) + F_98(x))
Eq(F_98(x), -F_29(x) + F_99(x))
Eq(F_99(x), -F_22(x) + F_88(x))
Eq(F_100(x), F_25(x) + F_35(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_17(x)*F_71(x)*F_90(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_17(x))
Eq(F_106(x), F_36(x))
Eq(F_107(x), F_15(x)*F_2(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_17(x))
Eq(F_110(x), F_111(x) + F_126(x))
Eq(F_111(x), F_112(x) + F_115(x))
Eq(F_112(x), F_113(x) + F_7(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_17(x)*F_40(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_0(x)*F_117(x))
Eq(F_117(x), F_118(x) + F_121(x))
Eq(F_118(x), F_119(x) + F_85(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_0(x)*F_17(x)*F_67(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) - F_125(x))
Eq(F_123(x), F_124(x)/F_17(x))
Eq(F_124(x), F_29(x))
Eq(F_125(x), F_24(x)*F_86(x))
Eq(F_126(x), F_127(x) + F_369(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_17(x))
Eq(F_129(x), F_130(x)/F_17(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_17(x))
Eq(F_133(x), F_134(x)/F_17(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) + F_349(x))
Eq(F_136(x), F_137(x)*F_37(x))
Eq(F_137(x), F_138(x) + F_174(x))
Eq(F_138(x), F_139(x) + F_165(x))
Eq(F_139(x), F_1(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_17(x))
Eq(F_142(x), F_139(x) + F_143(x))
Eq(F_143(x), F_144(x) + F_60(x))
Eq(F_144(x), F_145(x) + F_146(x) + F_152(x))
Eq(F_145(x), 0)
Eq(F_146(x), F_147(x)*F_17(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_140(x) + F_144(x))
Eq(F_149(x), F_150(x) + F_164(x))
Eq(F_150(x), F_145(x) + F_151(x) + F_152(x))
Eq(F_151(x), F_140(x)*F_17(x))
Eq(F_152(x), F_153(x)*F_17(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_150(x) + F_17(x))
Eq(F_155(x), F_156(x) + F_159(x))
Eq(F_156(x), F_145(x) + F_157(x) + F_65(x))
Eq(F_157(x), F_158(x)*F_17(x))
Eq(F_158(x), F_63(x))
Eq(F_159(x), F_145(x) + F_160(x) + F_161(x) + F_163(x))
Eq(F_160(x), F_144(x)*F_17(x))
Eq(F_161(x), F_162(x)*F_17(x))
Eq(F_162(x), F_149(x))
Eq(F_163(x), 0)
Eq(F_164(x), F_160(x))
Eq(F_165(x), F_166(x) + F_2(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_17(x))
Eq(F_168(x), F_169(x) + F_266(x))
Eq(F_169(x), F_165(x) + F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_17(x)*F_172(x)*F_24(x)*F_59(x))
Eq(F_172(x), F_165(x) + F_173(x))
Eq(F_173(x), F_174(x) - F_181(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_17(x)*F_176(x))
Eq(F_176(x), F_177(x) + F_179(x))
Eq(F_177(x), F_178(x)/F_17(x))
Eq(F_178(x), F_30(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_17(x)*F_176(x)*F_93(x))
Eq(F_181(x), F_182(x) + F_60(x))
Eq(F_182(x), F_145(x) + F_183(x) + F_262(x))
Eq(F_183(x), F_17(x)*F_184(x))
Eq(F_184(x), F_181(x) + F_185(x))
Eq(F_185(x), F_186(x) + F_203(x))
Eq(F_186(x), F_145(x) + F_187(x) + F_192(x))
Eq(F_187(x), F_17(x)*F_188(x))
Eq(F_188(x), F_189(x) + F_190(x))
Eq(F_189(x), F_186(x) + F_60(x))
Eq(F_190(x), F_191(x) + F_201(x))
Eq(F_191(x), F_145(x) + F_192(x) + F_65(x))
Eq(F_192(x), F_17(x)*F_193(x))
Eq(F_193(x), F_194(x) + F_196(x))
Eq(F_194(x), F_17(x) + F_195(x))
Eq(F_195(x), F_65(x))
Eq(F_196(x), F_197(x) + F_199(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), x**2)
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_17(x)*F_195(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_17(x)*F_186(x))
Eq(F_203(x), F_145(x) + F_204(x) + F_210(x) + F_224(x))
Eq(F_204(x), F_17(x)*F_205(x))
Eq(F_205(x), F_206(x) + F_207(x))
Eq(F_206(x), F_182(x) + F_203(x))
Eq(F_207(x), F_208(x) + F_261(x))
Eq(F_208(x), F_145(x) + F_209(x) + F_210(x) + F_224(x))
Eq(F_209(x), F_17(x)*F_182(x))
Eq(F_210(x), F_17(x)*F_211(x))
Eq(F_211(x), F_212(x) + F_213(x))
Eq(F_212(x), F_191(x) + F_208(x))
Eq(F_213(x), F_214(x) + F_218(x))
Eq(F_214(x), F_145(x) + F_202(x) + F_215(x) + F_217(x))
Eq(F_215(x), F_17(x)*F_216(x))
Eq(F_216(x), F_190(x))
Eq(F_217(x), 0)
Eq(F_218(x), F_145(x) + F_219(x) + F_220(x) + F_222(x) + F_223(x))
Eq(F_219(x), F_17(x)*F_203(x))
Eq(F_220(x), F_17(x)*F_221(x))
Eq(F_221(x), F_207(x))
Eq(F_222(x), 0)
Eq(F_223(x), 0)
Eq(F_224(x), F_17(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_240(x))
Eq(F_226(x), F_227(x) + F_230(x))
Eq(F_227(x), F_145(x) + F_228(x) + F_65(x))
Eq(F_228(x), F_17(x)*F_229(x))
Eq(F_229(x), F_194(x))
Eq(F_230(x), 2*F_145(x) + F_231(x) + F_238(x))
Eq(F_231(x), F_17(x)*F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_17(x)*F_234(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_232(x) + F_60(x))
Eq(F_236(x), F_195(x) + F_237(x))
Eq(F_237(x), F_231(x))
Eq(F_238(x), F_17(x)*F_239(x))
Eq(F_239(x), F_236(x))
Eq(F_240(x), F_241(x) + F_251(x))
Eq(F_241(x), 2*F_145(x) + F_242(x) + F_249(x))
Eq(F_242(x), F_17(x)*F_243(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_17(x)*F_245(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_17(x) + F_243(x))
Eq(F_247(x), F_197(x) + F_248(x))
Eq(F_248(x), F_242(x))
Eq(F_249(x), F_17(x)*F_250(x))
Eq(F_250(x), F_247(x))
Eq(F_251(x), 3*F_145(x) + F_252(x) + F_259(x))
Eq(F_252(x), F_17(x)*F_253(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_17(x)*F_255(x))
Eq(F_255(x), F_256(x) + F_257(x))
Eq(F_256(x), F_195(x) + F_253(x))
Eq(F_257(x), F_199(x) + F_258(x))
Eq(F_258(x), F_252(x))
Eq(F_259(x), F_17(x)*F_260(x))
Eq(F_260(x), F_257(x))
Eq(F_261(x), F_219(x))
Eq(F_262(x), F_17(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_265(x))
Eq(F_264(x), F_232(x) + F_60(x))
Eq(F_265(x), F_243(x) + F_253(x))
Eq(F_266(x), F_267(x) - F_269(x))
Eq(F_267(x), F_268(x)/F_17(x))
Eq(F_268(x), F_36(x))
Eq(F_269(x), F_170(x) + F_270(x))
Eq(F_270(x), F_271(x) + F_60(x))
Eq(F_271(x), F_145(x) + F_272(x) + F_345(x))
Eq(F_272(x), F_17(x)*F_273(x))
Eq(F_273(x), F_270(x) + F_274(x))
Eq(F_274(x), F_275(x) + F_289(x))
Eq(F_275(x), F_145(x) + F_276(x) + F_281(x))
Eq(F_276(x), F_17(x)*F_277(x))
Eq(F_277(x), F_278(x) + F_279(x))
Eq(F_278(x), F_275(x) + F_60(x))
Eq(F_279(x), F_280(x) + F_287(x))
Eq(F_280(x), F_145(x) + F_281(x) + F_65(x))
Eq(F_281(x), F_17(x)*F_282(x))
Eq(F_282(x), F_283(x) + F_63(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_198(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_17(x)*F_64(x))
Eq(F_287(x), F_288(x))
Eq(F_288(x), F_17(x)*F_275(x))
Eq(F_289(x), F_145(x) + F_290(x) + F_296(x) + F_310(x))
Eq(F_290(x), F_17(x)*F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_271(x) + F_289(x))
Eq(F_293(x), F_294(x) + F_344(x))
Eq(F_294(x), F_145(x) + F_295(x) + F_296(x) + F_310(x))
Eq(F_295(x), F_17(x)*F_271(x))
Eq(F_296(x), F_17(x)*F_297(x))
Eq(F_297(x), F_298(x) + F_299(x))
Eq(F_298(x), F_280(x) + F_294(x))
Eq(F_299(x), F_300(x) + F_304(x))
Eq(F_300(x), F_145(x) + F_288(x) + F_301(x) + F_303(x))
Eq(F_301(x), F_17(x)*F_302(x))
Eq(F_302(x), F_279(x))
Eq(F_303(x), 0)
Eq(F_304(x), F_145(x) + F_305(x) + F_306(x) + F_308(x) + F_309(x))
Eq(F_305(x), F_17(x)*F_289(x))
Eq(F_306(x), F_17(x)*F_307(x))
Eq(F_307(x), F_293(x))
Eq(F_308(x), 0)
Eq(F_309(x), 0)
Eq(F_310(x), F_17(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_323(x))
Eq(F_312(x), F_156(x) + F_313(x))
Eq(F_313(x), 2*F_145(x) + F_314(x) + F_321(x))
Eq(F_314(x), F_17(x)*F_315(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_17(x)*F_317(x))
Eq(F_317(x), F_318(x) + F_319(x))
Eq(F_318(x), F_315(x) + F_60(x))
Eq(F_319(x), F_320(x) + F_64(x))
Eq(F_320(x), F_314(x))
Eq(F_321(x), F_17(x)*F_322(x))
Eq(F_322(x), F_319(x))
Eq(F_323(x), F_324(x) + F_334(x))
Eq(F_324(x), 2*F_145(x) + F_325(x) + F_332(x))
Eq(F_325(x), F_17(x)*F_326(x))
Eq(F_326(x), F_327(x))
Eq(F_327(x), F_17(x)*F_328(x))
Eq(F_328(x), F_329(x) + F_330(x))
Eq(F_329(x), F_17(x) + F_326(x))
Eq(F_330(x), F_284(x) + F_331(x))
Eq(F_331(x), F_325(x))
Eq(F_332(x), F_17(x)*F_333(x))
Eq(F_333(x), F_330(x))
Eq(F_334(x), 3*F_145(x) + F_335(x) + F_342(x))
Eq(F_335(x), F_17(x)*F_336(x))
Eq(F_336(x), F_337(x))
Eq(F_337(x), F_17(x)*F_338(x))
Eq(F_338(x), F_339(x) + F_340(x))
Eq(F_339(x), F_336(x) + F_64(x))
Eq(F_340(x), F_285(x) + F_341(x))
Eq(F_341(x), F_335(x))
Eq(F_342(x), F_17(x)*F_343(x))
Eq(F_343(x), F_340(x))
Eq(F_344(x), F_305(x))
Eq(F_345(x), F_17(x)*F_346(x))
Eq(F_346(x), F_347(x) + F_348(x))
Eq(F_347(x), F_315(x) + F_60(x))
Eq(F_348(x), F_326(x) + F_336(x))
Eq(F_349(x), F_350(x)*F_72(x))
Eq(F_350(x), F_351(x) - F_361(x))
Eq(F_351(x), F_352(x)/F_17(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), -F_18(x) + F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_17(x)*F_356(x))
Eq(F_356(x), F_357(x)/F_17(x))
Eq(F_357(x), F_358(x))
Eq(F_358(x), -F_174(x) + F_359(x))
Eq(F_359(x), F_360(x)/F_17(x))
Eq(F_360(x), F_19(x))
Eq(F_361(x), F_362(x) + F_364(x))
Eq(F_362(x), F_2(x)*F_363(x))
Eq(F_363(x), F_137(x) + F_350(x))
Eq(F_364(x), F_131(x) - F_365(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_17(x)*F_367(x))
Eq(F_367(x), F_131(x) + F_368(x))
Eq(F_368(x), F_0(x)*F_363(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_0(x)*F_371(x))
Eq(F_371(x), F_372(x))
Eq(F_372(x), F_373(x) - F_444(x))
Eq(F_373(x), F_374(x) + F_443(x))
Eq(F_374(x), F_375(x) - F_406(x))
Eq(F_375(x), F_376(x)/F_17(x))
Eq(F_376(x), F_377(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_17(x)*F_379(x))
Eq(F_379(x), F_380(x)/F_17(x))
Eq(F_380(x), F_381(x))
Eq(F_381(x), F_382(x) + F_398(x))
Eq(F_382(x), F_383(x) - F_391(x))
Eq(F_383(x), F_384(x) + F_385(x))
Eq(F_384(x), F_0(x)**2)
Eq(F_385(x), F_35(x) + F_386(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_17(x)*F_388(x))
Eq(F_388(x), F_389(x) + F_390(x))
Eq(F_389(x), F_35(x)*F_4(x))
Eq(F_390(x), F_0(x)*F_113(x))
Eq(F_391(x), F_0(x) + F_392(x))
Eq(F_392(x), F_2(x) + F_393(x))
Eq(F_393(x), F_394(x))
Eq(F_394(x), F_17(x)*F_395(x))
Eq(F_395(x), F_396(x) + F_397(x))
Eq(F_396(x), F_2(x)*F_4(x))
Eq(F_397(x), F_0(x)*F_35(x))
Eq(F_398(x), F_399(x))
Eq(F_399(x), F_15(x)*F_17(x)*F_400(x))
Eq(F_400(x), F_18(x) + F_401(x))
Eq(F_401(x), F_402(x) - F_405(x))
Eq(F_402(x), -F_381(x) + F_403(x))
Eq(F_403(x), F_404(x)/F_17(x))
Eq(F_404(x), F_19(x))
Eq(F_405(x), F_2(x) + F_393(x))
Eq(F_406(x), F_407(x) - F_409(x))
Eq(F_407(x), F_408(x)/F_17(x))
Eq(F_408(x), F_377(x))
Eq(F_409(x), F_410(x))
Eq(F_410(x), F_411(x) + F_437(x))
Eq(F_411(x), F_412(x) - F_434(x))
Eq(F_412(x), F_413(x) + F_414(x))
Eq(F_413(x), F_0(x)*F_4(x))
Eq(F_414(x), F_415(x) - F_418(x))
Eq(F_415(x), F_407(x) - F_416(x))
Eq(F_416(x), F_417(x)/F_17(x))
Eq(F_417(x), F_9(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_420(x) - F_422(x))
Eq(F_420(x), F_421(x)/F_17(x))
Eq(F_421(x), F_99(x))
Eq(F_422(x), F_423(x) + F_425(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_24(x)*F_30(x))
Eq(F_425(x), F_426(x) + F_432(x))
Eq(F_426(x), F_427(x) + F_431(x))
Eq(F_427(x), F_428(x) - F_430(x))
Eq(F_428(x), F_429(x)/F_17(x))
Eq(F_429(x), F_11(x))
Eq(F_430(x), F_88(x))
Eq(F_431(x), F_97(x))
Eq(F_432(x), F_433(x))
Eq(F_433(x), F_17(x)*F_426(x))
Eq(F_434(x), F_391(x) + F_435(x))
Eq(F_435(x), F_436(x) + F_5(x))
Eq(F_436(x), F_377(x) - F_392(x))
Eq(F_437(x), F_438(x) - F_440(x))
Eq(F_438(x), F_439(x)/F_17(x))
Eq(F_439(x), F_98(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_432(x) - F_442(x))
Eq(F_442(x), F_17(x)*F_84(x))
Eq(F_443(x), F_444(x) - F_448(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_17(x)*F_446(x))
Eq(F_446(x), F_447(x)/F_17(x))
Eq(F_447(x), F_361(x))
Eq(F_448(x), F_449(x) - F_561(x))
Eq(F_449(x), F_450(x)/F_17(x))
Eq(F_450(x), F_451(x))
Eq(F_451(x), F_452(x) - F_458(x))
Eq(F_452(x), F_453(x)/F_17(x))
Eq(F_453(x), F_454(x))
Eq(F_454(x), F_455(x))
Eq(F_455(x), F_17(x)*F_24(x)*F_456(x))
Eq(F_456(x), F_377(x) + F_457(x))
Eq(F_457(x), F_454(x) + F_5(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_17(x)*F_460(x)*F_59(x))
Eq(F_460(x), F_461(x) + F_560(x))
Eq(F_461(x), F_24(x)*F_462(x))
Eq(F_462(x), F_451(x) + F_463(x))
Eq(F_463(x), F_464(x) - F_466(x))
Eq(F_464(x), F_465(x)/F_17(x))
Eq(F_465(x), F_435(x))
Eq(F_466(x), F_467(x) - F_469(x))
Eq(F_467(x), F_468(x)/F_17(x))
Eq(F_468(x), F_436(x))
Eq(F_469(x), F_470(x))
Eq(F_470(x), F_17(x)*F_471(x))
Eq(F_471(x), F_472(x) - F_542(x))
Eq(F_472(x), F_473(x)/(F_17(x)*F_59(x)))
Eq(F_473(x), F_474(x))
Eq(F_474(x), F_17(x)*F_475(x))
Eq(F_475(x), F_476(x) + F_497(x))
Eq(F_476(x), F_477(x) + F_535(x))
Eq(F_477(x), F_478(x)/F_17(x))
Eq(F_478(x), F_479(x))
Eq(F_479(x), F_480(x) + F_534(x))
Eq(F_480(x), F_481(x) - F_533(x))
Eq(F_481(x), F_482(x) - F_532(x))
Eq(F_482(x), F_483(x) - F_495(x))
Eq(F_483(x), F_484(x)/F_17(x))
Eq(F_484(x), F_485(x))
Eq(F_485(x), F_486(x))
Eq(F_486(x), F_17(x)*F_487(x))
Eq(F_487(x), F_488(x) + F_490(x))
Eq(F_488(x), F_489(x))
Eq(F_489(x), F_24(x)*F_269(x)*F_59(x))
Eq(F_490(x), F_491(x) - F_493(x))
Eq(F_491(x), F_492(x)/F_17(x))
Eq(F_492(x), F_173(x))
Eq(F_493(x), F_494(x))
Eq(F_494(x), F_169(x)*F_24(x)*F_59(x))
Eq(F_495(x), F_496(x))
Eq(F_496(x), F_17(x)*F_497(x))
Eq(F_497(x), F_498(x) - F_500(x))
Eq(F_498(x), F_499(x)/F_17(x))
Eq(F_499(x), F_490(x))
Eq(F_500(x), F_501(x) + F_511(x))
Eq(F_501(x), F_502(x)/F_17(x))
Eq(F_502(x), F_503(x))
Eq(F_503(x), F_504(x) - F_509(x))
Eq(F_504(x), F_505(x) + F_507(x))
Eq(F_505(x), F_266(x) + F_506(x))
Eq(F_506(x), F_138(x) + F_269(x))
Eq(F_507(x), F_508(x))
Eq(F_508(x), F_17(x)*F_504(x)*F_93(x))
Eq(F_509(x), F_510(x))
Eq(F_510(x), F_506(x)*F_59(x))
Eq(F_511(x), F_17(x)*F_512(x)*F_59(x))
Eq(F_512(x), F_513(x) + F_518(x))
Eq(F_513(x), F_514(x) + F_516(x))
Eq(F_514(x), F_515(x)/F_17(x))
Eq(F_515(x), F_85(x))
Eq(F_516(x), F_517(x))
Eq(F_517(x), F_17(x)*F_356(x)*F_93(x))
Eq(F_518(x), F_519(x) - F_529(x))
Eq(F_519(x), F_520(x)/F_17(x))
Eq(F_520(x), F_521(x))
Eq(F_521(x), F_266(x) - F_522(x))
Eq(F_522(x), F_523(x) + F_524(x))
Eq(F_523(x), F_139(x)*F_2(x))
Eq(F_524(x), F_525(x))
Eq(F_525(x), F_17(x)*F_526(x))
Eq(F_526(x), F_527(x) + F_528(x))
Eq(F_527(x), F_15(x)*F_165(x))
Eq(F_528(x), F_354(x)*F_71(x))
Eq(F_529(x), F_513(x) - F_530(x))
Eq(F_530(x), F_531(x)/F_17(x))
Eq(F_531(x), F_522(x))
Eq(F_532(x), F_17(x)*F_59(x)*F_86(x))
Eq(F_533(x), F_59(x)*F_88(x))
Eq(F_534(x), F_59(x)*F_97(x))
Eq(F_535(x), F_17(x)*F_536(x)*F_59(x))
Eq(F_536(x), F_513(x) + F_537(x))
Eq(F_537(x), F_538(x))
Eq(F_538(x), F_539(x)*F_93(x))
Eq(F_539(x), F_485(x) + F_540(x))
Eq(F_540(x), F_541(x))
Eq(F_541(x), F_2(x)*F_24(x)*F_59(x))
Eq(F_542(x), F_17(x)*F_543(x))
Eq(F_543(x), F_471(x) - F_544(x))
Eq(F_544(x), F_545(x) - F_547(x))
Eq(F_545(x), F_546(x)/F_17(x))
Eq(F_546(x), F_518(x))
Eq(F_547(x), F_548(x) + F_555(x))
Eq(F_548(x), F_549(x)/F_17(x))
Eq(F_549(x), F_550(x))
Eq(F_550(x), F_551(x) - F_554(x))
Eq(F_551(x), F_505(x) + F_552(x))
Eq(F_552(x), F_553(x))
Eq(F_553(x), F_0(x)*F_17(x)*F_176(x))
Eq(F_554(x), F_137(x) + F_269(x))
Eq(F_555(x), F_545(x) - F_556(x))
Eq(F_556(x), F_557(x) - F_559(x))
Eq(F_557(x), F_558(x)/F_17(x))
Eq(F_558(x), F_518(x))
Eq(F_559(x), F_17(x)*F_548(x))
Eq(F_560(x), F_451(x))
Eq(F_561(x), F_406(x) - F_562(x))
Eq(F_562(x), F_122(x) + F_84(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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "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, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 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4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[1, 5]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"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]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"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]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25516/
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[17,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[17,x]*F[7,x]
F[7,x] = F[108,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[0,x]*F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[17,x]
F[13,x] = F[103,x]+F[14,x]
F[14,x] = F[15,x]*F[18,x]
F[15,x] = 1/F[17,x]*F[16,x]
F[16,x] = F[2,x]
F[17,x] = x
F[18,x] = F[19,x]+F[2,x]
F[19,x] = F[20,x]
F[20,x] = F[17,x]*F[21,x]
F[21,x] = F[22,x]+F[27,x]
F[22,x] = F[23,x]+F[25,x]
F[23,x] = F[2,x]*F[24,x]
F[24,x] = F[1,x]+F[17,x]
F[25,x] = F[26,x]
F[26,x] = F[17,x]*F[21,x]*F[24,x]
F[27,x] = F[28,x]+F[83,x]
F[28,x] = F[18,x]+F[29,x]
F[29,x] = -F[23,x]+F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[17,x]*F[32,x]
F[32,x] = F[33,x]+F[38,x]
F[33,x] = 1/F[17,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[2,x]+F[36,x]
F[36,x] = -F[2,x]+F[37,x]
F[37,x] = -F[0,x]+F[15,x]
F[38,x] = F[39,x]
F[39,x] = F[17,x]*F[40,x]
F[40,x] = F[33,x]+F[41,x]
F[41,x] = -F[101,x]+F[42,x]
F[42,x] = 1/F[17,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[45,x]+F[73,x]
F[45,x] = F[46,x]
F[46,x] = F[17,x]*F[47,x]
F[47,x] = F[48,x]+F[69,x]
F[48,x] = F[2,x]*F[49,x]
F[49,x] = F[0,x]+F[50,x]
F[50,x] = F[51,x]
F[51,x] = F[17,x]*F[52,x]
F[52,x] = F[53,x]+F[66,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[17,x]*F[24,x]*F[56,x]*F[59,x]
F[56,x] = F[49,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[17,x]*F[24,x]*F[52,x]*F[59,x]
F[59,x] = F[1,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[17,x]*F[62,x]
F[62,x] = F[59,x]+F[63,x]
F[63,x] = F[17,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[17,x]*F[60,x]
F[66,x] = -F[54,x]+F[67,x]
F[67,x] = 1/F[17,x]*F[68,x]
F[68,x] = F[19,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]*F[52,x]*F[71,x]
F[71,x] = F[0,x]+F[72,x]
F[72,x] = F[2,x]+F[45,x]
F[73,x] = F[74,x]
F[74,x] = F[17,x]*F[75,x]
F[75,x] = F[76,x]+F[81,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[15,x]*F[36,x]
F[78,x] = F[71,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[17,x]*F[18,x]
F[81,x] = F[71,x]*F[82,x]
F[82,x] = F[29,x]+F[83,x]
F[83,x] = -F[100,x]+F[84,x]
F[84,x] = F[85,x]+F[97,x]
F[85,x] = -F[88,x]+F[86,x]
F[86,x] = 1/F[17,x]*F[87,x]
F[87,x] = F[36,x]
F[88,x] = F[89,x]
F[89,x] = F[17,x]*F[90,x]
F[90,x] = F[91,x]+F[96,x]
F[91,x] = F[32,x]+F[92,x]
F[92,x] = F[54,x]*F[93,x]
F[93,x] = F[0,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[0,x]^2*F[17,x]
F[96,x] = F[66,x]*F[93,x]
F[97,x] = F[25,x]+F[98,x]
F[98,x] = -F[29,x]+F[99,x]
F[99,x] = -F[22,x]+F[88,x]
F[100,x] = F[25,x]+F[35,x]
F[101,x] = F[102,x]
F[102,x] = F[17,x]*F[71,x]*F[90,x]
F[103,x] = F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[17,x]*F[106,x]
F[106,x] = F[36,x]
F[107,x] = F[15,x]*F[2,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[17,x]
F[110,x] = F[111,x]+F[126,x]
F[111,x] = F[112,x]+F[115,x]
F[112,x] = F[113,x]+F[7,x]
F[113,x] = F[114,x]
F[114,x] = F[17,x]*F[40,x]
F[115,x] = F[116,x]
F[116,x] = F[0,x]*F[117,x]
F[117,x] = F[118,x]+F[121,x]
F[118,x] = F[119,x]+F[85,x]
F[119,x] = F[120,x]
F[120,x] = F[0,x]*F[17,x]*F[67,x]
F[121,x] = F[122,x]
F[122,x] = -F[125,x]+F[123,x]
F[123,x] = 1/F[17,x]*F[124,x]
F[124,x] = F[29,x]
F[125,x] = F[24,x]*F[86,x]
F[126,x] = F[127,x]+F[369,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[17,x]
F[129,x] = 1/F[17,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[17,x]
F[133,x] = 1/F[17,x]*F[134,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]+F[349,x]
F[136,x] = F[137,x]*F[37,x]
F[137,x] = F[138,x]+F[174,x]
F[138,x] = F[139,x]+F[165,x]
F[139,x] = F[1,x]+F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[17,x]
F[142,x] = F[139,x]+F[143,x]
F[143,x] = F[144,x]+F[60,x]
F[144,x] = F[145,x]+F[146,x]+F[152,x]
F[145,x] = 0
F[146,x] = F[147,x]*F[17,x]
F[147,x] = F[148,x]+F[149,x]
F[148,x] = F[140,x]+F[144,x]
F[149,x] = F[150,x]+F[164,x]
F[150,x] = F[145,x]+F[151,x]+F[152,x]
F[151,x] = F[140,x]*F[17,x]
F[152,x] = F[153,x]*F[17,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[150,x]+F[17,x]
F[155,x] = F[156,x]+F[159,x]
F[156,x] = F[145,x]+F[157,x]+F[65,x]
F[157,x] = F[158,x]*F[17,x]
F[158,x] = F[63,x]
F[159,x] = F[145,x]+F[160,x]+F[161,x]+F[163,x]
F[160,x] = F[144,x]*F[17,x]
F[161,x] = F[162,x]*F[17,x]
F[162,x] = F[149,x]
F[163,x] = 0
F[164,x] = F[160,x]
F[165,x] = F[166,x]+F[2,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[17,x]
F[168,x] = F[169,x]+F[266,x]
F[169,x] = F[165,x]+F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[17,x]*F[172,x]*F[24,x]*F[59,x]
F[172,x] = F[165,x]+F[173,x]
F[173,x] = -F[181,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[17,x]*F[176,x]
F[176,x] = F[177,x]+F[179,x]
F[177,x] = 1/F[17,x]*F[178,x]
F[178,x] = F[30,x]
F[179,x] = F[180,x]
F[180,x] = F[17,x]*F[176,x]*F[93,x]
F[181,x] = F[182,x]+F[60,x]
F[182,x] = F[145,x]+F[183,x]+F[262,x]
F[183,x] = F[17,x]*F[184,x]
F[184,x] = F[181,x]+F[185,x]
F[185,x] = F[186,x]+F[203,x]
F[186,x] = F[145,x]+F[187,x]+F[192,x]
F[187,x] = F[17,x]*F[188,x]
F[188,x] = F[189,x]+F[190,x]
F[189,x] = F[186,x]+F[60,x]
F[190,x] = F[191,x]+F[201,x]
F[191,x] = F[145,x]+F[192,x]+F[65,x]
F[192,x] = F[17,x]*F[193,x]
F[193,x] = F[194,x]+F[196,x]
F[194,x] = F[17,x]+F[195,x]
F[195,x] = F[65,x]
F[196,x] = F[197,x]+F[199,x]
F[197,x] = F[198,x]
F[198,x] = x^2
F[199,x] = F[200,x]
F[200,x] = F[17,x]*F[195,x]
F[201,x] = F[202,x]
F[202,x] = F[17,x]*F[186,x]
F[203,x] = F[145,x]+F[204,x]+F[210,x]+F[224,x]
F[204,x] = F[17,x]*F[205,x]
F[205,x] = F[206,x]+F[207,x]
F[206,x] = F[182,x]+F[203,x]
F[207,x] = F[208,x]+F[261,x]
F[208,x] = F[145,x]+F[209,x]+F[210,x]+F[224,x]
F[209,x] = F[17,x]*F[182,x]
F[210,x] = F[17,x]*F[211,x]
F[211,x] = F[212,x]+F[213,x]
F[212,x] = F[191,x]+F[208,x]
F[213,x] = F[214,x]+F[218,x]
F[214,x] = F[145,x]+F[202,x]+F[215,x]+F[217,x]
F[215,x] = F[17,x]*F[216,x]
F[216,x] = F[190,x]
F[217,x] = 0
F[218,x] = F[145,x]+F[219,x]+F[220,x]+F[222,x]+F[223,x]
F[219,x] = F[17,x]*F[203,x]
F[220,x] = F[17,x]*F[221,x]
F[221,x] = F[207,x]
F[222,x] = 0
F[223,x] = 0
F[224,x] = F[17,x]*F[225,x]
F[225,x] = F[226,x]+F[240,x]
F[226,x] = F[227,x]+F[230,x]
F[227,x] = F[145,x]+F[228,x]+F[65,x]
F[228,x] = F[17,x]*F[229,x]
F[229,x] = F[194,x]
F[230,x] = 2*F[145,x]+F[231,x]+F[238,x]
F[231,x] = F[17,x]*F[232,x]
F[232,x] = F[233,x]
F[233,x] = F[17,x]*F[234,x]
F[234,x] = F[235,x]+F[236,x]
F[235,x] = F[232,x]+F[60,x]
F[236,x] = F[195,x]+F[237,x]
F[237,x] = F[231,x]
F[238,x] = F[17,x]*F[239,x]
F[239,x] = F[236,x]
F[240,x] = F[241,x]+F[251,x]
F[241,x] = 2*F[145,x]+F[242,x]+F[249,x]
F[242,x] = F[17,x]*F[243,x]
F[243,x] = F[244,x]
F[244,x] = F[17,x]*F[245,x]
F[245,x] = F[246,x]+F[247,x]
F[246,x] = F[17,x]+F[243,x]
F[247,x] = F[197,x]+F[248,x]
F[248,x] = F[242,x]
F[249,x] = F[17,x]*F[250,x]
F[250,x] = F[247,x]
F[251,x] = 3*F[145,x]+F[252,x]+F[259,x]
F[252,x] = F[17,x]*F[253,x]
F[253,x] = F[254,x]
F[254,x] = F[17,x]*F[255,x]
F[255,x] = F[256,x]+F[257,x]
F[256,x] = F[195,x]+F[253,x]
F[257,x] = F[199,x]+F[258,x]
F[258,x] = F[252,x]
F[259,x] = F[17,x]*F[260,x]
F[260,x] = F[257,x]
F[261,x] = F[219,x]
F[262,x] = F[17,x]*F[263,x]
F[263,x] = F[264,x]+F[265,x]
F[264,x] = F[232,x]+F[60,x]
F[265,x] = F[243,x]+F[253,x]
F[266,x] = -F[269,x]+F[267,x]
F[267,x] = 1/F[17,x]*F[268,x]
F[268,x] = F[36,x]
F[269,x] = F[170,x]+F[270,x]
F[270,x] = F[271,x]+F[60,x]
F[271,x] = F[145,x]+F[272,x]+F[345,x]
F[272,x] = F[17,x]*F[273,x]
F[273,x] = F[270,x]+F[274,x]
F[274,x] = F[275,x]+F[289,x]
F[275,x] = F[145,x]+F[276,x]+F[281,x]
F[276,x] = F[17,x]*F[277,x]
F[277,x] = F[278,x]+F[279,x]
F[278,x] = F[275,x]+F[60,x]
F[279,x] = F[280,x]+F[287,x]
F[280,x] = F[145,x]+F[281,x]+F[65,x]
F[281,x] = F[17,x]*F[282,x]
F[282,x] = F[283,x]+F[63,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[198,x]
F[285,x] = F[286,x]
F[286,x] = F[17,x]*F[64,x]
F[287,x] = F[288,x]
F[288,x] = F[17,x]*F[275,x]
F[289,x] = F[145,x]+F[290,x]+F[296,x]+F[310,x]
F[290,x] = F[17,x]*F[291,x]
F[291,x] = F[292,x]+F[293,x]
F[292,x] = F[271,x]+F[289,x]
F[293,x] = F[294,x]+F[344,x]
F[294,x] = F[145,x]+F[295,x]+F[296,x]+F[310,x]
F[295,x] = F[17,x]*F[271,x]
F[296,x] = F[17,x]*F[297,x]
F[297,x] = F[298,x]+F[299,x]
F[298,x] = F[280,x]+F[294,x]
F[299,x] = F[300,x]+F[304,x]
F[300,x] = F[145,x]+F[288,x]+F[301,x]+F[303,x]
F[301,x] = F[17,x]*F[302,x]
F[302,x] = F[279,x]
F[303,x] = 0
F[304,x] = F[145,x]+F[305,x]+F[306,x]+F[308,x]+F[309,x]
F[305,x] = F[17,x]*F[289,x]
F[306,x] = F[17,x]*F[307,x]
F[307,x] = F[293,x]
F[308,x] = 0
F[309,x] = 0
F[310,x] = F[17,x]*F[311,x]
F[311,x] = F[312,x]+F[323,x]
F[312,x] = F[156,x]+F[313,x]
F[313,x] = 2*F[145,x]+F[314,x]+F[321,x]
F[314,x] = F[17,x]*F[315,x]
F[315,x] = F[316,x]
F[316,x] = F[17,x]*F[317,x]
F[317,x] = F[318,x]+F[319,x]
F[318,x] = F[315,x]+F[60,x]
F[319,x] = F[320,x]+F[64,x]
F[320,x] = F[314,x]
F[321,x] = F[17,x]*F[322,x]
F[322,x] = F[319,x]
F[323,x] = F[324,x]+F[334,x]
F[324,x] = 2*F[145,x]+F[325,x]+F[332,x]
F[325,x] = F[17,x]*F[326,x]
F[326,x] = F[327,x]
F[327,x] = F[17,x]*F[328,x]
F[328,x] = F[329,x]+F[330,x]
F[329,x] = F[17,x]+F[326,x]
F[330,x] = F[284,x]+F[331,x]
F[331,x] = F[325,x]
F[332,x] = F[17,x]*F[333,x]
F[333,x] = F[330,x]
F[334,x] = 3*F[145,x]+F[335,x]+F[342,x]
F[335,x] = F[17,x]*F[336,x]
F[336,x] = F[337,x]
F[337,x] = F[17,x]*F[338,x]
F[338,x] = F[339,x]+F[340,x]
F[339,x] = F[336,x]+F[64,x]
F[340,x] = F[285,x]+F[341,x]
F[341,x] = F[335,x]
F[342,x] = F[17,x]*F[343,x]
F[343,x] = F[340,x]
F[344,x] = F[305,x]
F[345,x] = F[17,x]*F[346,x]
F[346,x] = F[347,x]+F[348,x]
F[347,x] = F[315,x]+F[60,x]
F[348,x] = F[326,x]+F[336,x]
F[349,x] = F[350,x]*F[72,x]
F[350,x] = -F[361,x]+F[351,x]
F[351,x] = 1/F[17,x]*F[352,x]
F[352,x] = F[353,x]
F[353,x] = -F[18,x]+F[354,x]
F[354,x] = F[355,x]
F[355,x] = F[17,x]*F[356,x]
F[356,x] = 1/F[17,x]*F[357,x]
F[357,x] = F[358,x]
F[358,x] = -F[174,x]+F[359,x]
F[359,x] = 1/F[17,x]*F[360,x]
F[360,x] = F[19,x]
F[361,x] = F[362,x]+F[364,x]
F[362,x] = F[2,x]*F[363,x]
F[363,x] = F[137,x]+F[350,x]
F[364,x] = -F[365,x]+F[131,x]
F[365,x] = F[366,x]
F[366,x] = F[17,x]*F[367,x]
F[367,x] = F[131,x]+F[368,x]
F[368,x] = F[0,x]*F[363,x]
F[369,x] = F[370,x]
F[370,x] = F[0,x]*F[371,x]
F[371,x] = F[372,x]
F[372,x] = -F[444,x]+F[373,x]
F[373,x] = F[374,x]+F[443,x]
F[374,x] = -F[406,x]+F[375,x]
F[375,x] = 1/F[17,x]*F[376,x]
F[376,x] = F[377,x]
F[377,x] = F[378,x]
F[378,x] = F[17,x]*F[379,x]
F[379,x] = 1/F[17,x]*F[380,x]
F[380,x] = F[381,x]
F[381,x] = F[382,x]+F[398,x]
F[382,x] = -F[391,x]+F[383,x]
F[383,x] = F[384,x]+F[385,x]
F[384,x] = F[0,x]^2
F[385,x] = F[35,x]+F[386,x]
F[386,x] = F[387,x]
F[387,x] = F[17,x]*F[388,x]
F[388,x] = F[389,x]+F[390,x]
F[389,x] = F[35,x]*F[4,x]
F[390,x] = F[0,x]*F[113,x]
F[391,x] = F[0,x]+F[392,x]
F[392,x] = F[2,x]+F[393,x]
F[393,x] = F[394,x]
F[394,x] = F[17,x]*F[395,x]
F[395,x] = F[396,x]+F[397,x]
F[396,x] = F[2,x]*F[4,x]
F[397,x] = F[0,x]*F[35,x]
F[398,x] = F[399,x]
F[399,x] = F[15,x]*F[17,x]*F[400,x]
F[400,x] = F[18,x]+F[401,x]
F[401,x] = -F[405,x]+F[402,x]
F[402,x] = -F[381,x]+F[403,x]
F[403,x] = 1/F[17,x]*F[404,x]
F[404,x] = F[19,x]
F[405,x] = F[2,x]+F[393,x]
F[406,x] = -F[409,x]+F[407,x]
F[407,x] = 1/F[17,x]*F[408,x]
F[408,x] = F[377,x]
F[409,x] = F[410,x]
F[410,x] = F[411,x]+F[437,x]
F[411,x] = -F[434,x]+F[412,x]
F[412,x] = F[413,x]+F[414,x]
F[413,x] = F[0,x]*F[4,x]
F[414,x] = -F[418,x]+F[415,x]
F[415,x] = -F[416,x]+F[407,x]
F[416,x] = 1/F[17,x]*F[417,x]
F[417,x] = F[9,x]
F[418,x] = F[419,x]
F[419,x] = -F[422,x]+F[420,x]
F[420,x] = 1/F[17,x]*F[421,x]
F[421,x] = F[99,x]
F[422,x] = F[423,x]+F[425,x]
F[423,x] = F[424,x]
F[424,x] = F[24,x]*F[30,x]
F[425,x] = F[426,x]+F[432,x]
F[426,x] = F[427,x]+F[431,x]
F[427,x] = -F[430,x]+F[428,x]
F[428,x] = 1/F[17,x]*F[429,x]
F[429,x] = F[11,x]
F[430,x] = F[88,x]
F[431,x] = F[97,x]
F[432,x] = F[433,x]
F[433,x] = F[17,x]*F[426,x]
F[434,x] = F[391,x]+F[435,x]
F[435,x] = F[436,x]+F[5,x]
F[436,x] = -F[392,x]+F[377,x]
F[437,x] = -F[440,x]+F[438,x]
F[438,x] = 1/F[17,x]*F[439,x]
F[439,x] = F[98,x]
F[440,x] = F[441,x]
F[441,x] = -F[442,x]+F[432,x]
F[442,x] = F[17,x]*F[84,x]
F[443,x] = -F[448,x]+F[444,x]
F[444,x] = F[445,x]
F[445,x] = F[17,x]*F[446,x]
F[446,x] = 1/F[17,x]*F[447,x]
F[447,x] = F[361,x]
F[448,x] = -F[561,x]+F[449,x]
F[449,x] = 1/F[17,x]*F[450,x]
F[450,x] = F[451,x]
F[451,x] = -F[458,x]+F[452,x]
F[452,x] = 1/F[17,x]*F[453,x]
F[453,x] = F[454,x]
F[454,x] = F[455,x]
F[455,x] = F[17,x]*F[24,x]*F[456,x]
F[456,x] = F[377,x]+F[457,x]
F[457,x] = F[454,x]+F[5,x]
F[458,x] = F[459,x]
F[459,x] = F[17,x]*F[460,x]*F[59,x]
F[460,x] = F[461,x]+F[560,x]
F[461,x] = F[24,x]*F[462,x]
F[462,x] = F[451,x]+F[463,x]
F[463,x] = -F[466,x]+F[464,x]
F[464,x] = 1/F[17,x]*F[465,x]
F[465,x] = F[435,x]
F[466,x] = -F[469,x]+F[467,x]
F[467,x] = 1/F[17,x]*F[468,x]
F[468,x] = F[436,x]
F[469,x] = F[470,x]
F[470,x] = F[17,x]*F[471,x]
F[471,x] = -F[542,x]+F[472,x]
F[472,x] = 1/F[17,x]/F[59,x]*F[473,x]
F[473,x] = F[474,x]
F[474,x] = F[17,x]*F[475,x]
F[475,x] = F[476,x]+F[497,x]
F[476,x] = F[477,x]+F[535,x]
F[477,x] = 1/F[17,x]*F[478,x]
F[478,x] = F[479,x]
F[479,x] = F[480,x]+F[534,x]
F[480,x] = -F[533,x]+F[481,x]
F[481,x] = -F[532,x]+F[482,x]
F[482,x] = -F[495,x]+F[483,x]
F[483,x] = 1/F[17,x]*F[484,x]
F[484,x] = F[485,x]
F[485,x] = F[486,x]
F[486,x] = F[17,x]*F[487,x]
F[487,x] = F[488,x]+F[490,x]
F[488,x] = F[489,x]
F[489,x] = F[24,x]*F[269,x]*F[59,x]
F[490,x] = -F[493,x]+F[491,x]
F[491,x] = 1/F[17,x]*F[492,x]
F[492,x] = F[173,x]
F[493,x] = F[494,x]
F[494,x] = F[169,x]*F[24,x]*F[59,x]
F[495,x] = F[496,x]
F[496,x] = F[17,x]*F[497,x]
F[497,x] = -F[500,x]+F[498,x]
F[498,x] = 1/F[17,x]*F[499,x]
F[499,x] = F[490,x]
F[500,x] = F[501,x]+F[511,x]
F[501,x] = 1/F[17,x]*F[502,x]
F[502,x] = F[503,x]
F[503,x] = -F[509,x]+F[504,x]
F[504,x] = F[505,x]+F[507,x]
F[505,x] = F[266,x]+F[506,x]
F[506,x] = F[138,x]+F[269,x]
F[507,x] = F[508,x]
F[508,x] = F[17,x]*F[504,x]*F[93,x]
F[509,x] = F[510,x]
F[510,x] = F[506,x]*F[59,x]
F[511,x] = F[17,x]*F[512,x]*F[59,x]
F[512,x] = F[513,x]+F[518,x]
F[513,x] = F[514,x]+F[516,x]
F[514,x] = 1/F[17,x]*F[515,x]
F[515,x] = F[85,x]
F[516,x] = F[517,x]
F[517,x] = F[17,x]*F[356,x]*F[93,x]
F[518,x] = -F[529,x]+F[519,x]
F[519,x] = 1/F[17,x]*F[520,x]
F[520,x] = F[521,x]
F[521,x] = -F[522,x]+F[266,x]
F[522,x] = F[523,x]+F[524,x]
F[523,x] = F[139,x]*F[2,x]
F[524,x] = F[525,x]
F[525,x] = F[17,x]*F[526,x]
F[526,x] = F[527,x]+F[528,x]
F[527,x] = F[15,x]*F[165,x]
F[528,x] = F[354,x]*F[71,x]
F[529,x] = -F[530,x]+F[513,x]
F[530,x] = 1/F[17,x]*F[531,x]
F[531,x] = F[522,x]
F[532,x] = F[17,x]*F[59,x]*F[86,x]
F[533,x] = F[59,x]*F[88,x]
F[534,x] = F[59,x]*F[97,x]
F[535,x] = F[17,x]*F[536,x]*F[59,x]
F[536,x] = F[513,x]+F[537,x]
F[537,x] = F[538,x]
F[538,x] = F[539,x]*F[93,x]
F[539,x] = F[485,x]+F[540,x]
F[540,x] = F[541,x]
F[541,x] = F[2,x]*F[24,x]*F[59,x]
F[542,x] = F[17,x]*F[543,x]
F[543,x] = -F[544,x]+F[471,x]
F[544,x] = -F[547,x]+F[545,x]
F[545,x] = 1/F[17,x]*F[546,x]
F[546,x] = F[518,x]
F[547,x] = F[548,x]+F[555,x]
F[548,x] = 1/F[17,x]*F[549,x]
F[549,x] = F[550,x]
F[550,x] = -F[554,x]+F[551,x]
F[551,x] = F[505,x]+F[552,x]
F[552,x] = F[553,x]
F[553,x] = F[0,x]*F[17,x]*F[176,x]
F[554,x] = F[137,x]+F[269,x]
F[555,x] = -F[556,x]+F[545,x]
F[556,x] = -F[559,x]+F[557,x]
F[557,x] = 1/F[17,x]*F[558,x]
F[558,x] = F[518,x]
F[559,x] = F[17,x]*F[548,x]
F[560,x] = F[451,x]
F[561,x] = -F[562,x]+F[406,x]
F[562,x] = F[122,x]+F[84,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_{17}\! \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_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{17}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{108}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{17}\! \left(x \right)
F_{13}\! \left(x \right) = F_{103}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{27}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{23}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{17}\! \left(x \right) F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{83}\! \left(x \right)
F_{28}\! \left(x \right) = F_{18}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{17}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{15}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{33}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{101}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{73}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{17}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{69}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{17}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{66}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{56}\! \left(x \right) F_{59}\! \left(x \right)
F_{56}\! \left(x \right) = F_{49}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{52}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{17}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{59}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{17}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{17}\! \left(x \right) F_{60}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{19}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17}\! \left(x \right) F_{52}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{17}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{81}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{15}\! \left(x \right) F_{36}\! \left(x \right)
F_{78}\! \left(x \right) = F_{71}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right)
F_{81}\! \left(x \right) = F_{71}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{29}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{97}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{36}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{17}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{96}\! \left(x \right)
F_{91}\! \left(x \right) = F_{32}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{54}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{17}\! \left(x \right)
F_{96}\! \left(x \right) = F_{66}\! \left(x \right) F_{93}\! \left(x \right)
F_{97}\! \left(x \right) = F_{25}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{22}\! \left(x \right)+F_{88}\! \left(x \right)
F_{100}\! \left(x \right) = F_{25}\! \left(x \right)+F_{35}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{17}\! \left(x \right) F_{71}\! \left(x \right) F_{90}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \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_{17}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{36}\! \left(x \right)
F_{107}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{17}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{126}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{7}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{121}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{85}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{67}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{125}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{29}\! \left(x \right)
F_{125}\! \left(x \right) = F_{24}\! \left(x \right) F_{86}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{369}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{17}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{17}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{349}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{37}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{174}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{165}\! \left(x \right)
F_{139}\! \left(x \right) = F_{1}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{17}\! \left(x \right)
F_{142}\! \left(x \right) = F_{139}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{60}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{146}\! \left(x \right)+F_{152}\! \left(x \right)
F_{145}\! \left(x \right) = 0
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{17}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{149}\! \left(x \right)
F_{148}\! \left(x \right) = F_{140}\! \left(x \right)+F_{144}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{164}\! \left(x \right)
F_{150}\! \left(x \right) = F_{145}\! \left(x \right)+F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{140}\! \left(x \right) F_{17}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{17}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{150}\! \left(x \right)+F_{17}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{159}\! \left(x \right)
F_{156}\! \left(x \right) = F_{145}\! \left(x \right)+F_{157}\! \left(x \right)+F_{65}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{17}\! \left(x \right)
F_{158}\! \left(x \right) = F_{63}\! \left(x \right)
F_{159}\! \left(x \right) = F_{145}\! \left(x \right)+F_{160}\! \left(x \right)+F_{161}\! \left(x \right)+F_{163}\! \left(x \right)
F_{160}\! \left(x \right) = F_{144}\! \left(x \right) F_{17}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{17}\! \left(x \right)
F_{162}\! \left(x \right) = F_{149}\! \left(x \right)
F_{163}\! \left(x \right) = 0
F_{164}\! \left(x \right) = F_{160}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{2}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{17}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{266}\! \left(x \right)
F_{169}\! \left(x \right) = F_{165}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{17}\! \left(x \right) F_{172}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{172}\! \left(x \right) = F_{165}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = -F_{181}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{17}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{30}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{17}\! \left(x \right) F_{176}\! \left(x \right) F_{93}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{60}\! \left(x \right)
F_{182}\! \left(x \right) = F_{145}\! \left(x \right)+F_{183}\! \left(x \right)+F_{262}\! \left(x \right)
F_{183}\! \left(x \right) = F_{17}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{181}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{203}\! \left(x \right)
F_{186}\! \left(x \right) = F_{145}\! \left(x \right)+F_{187}\! \left(x \right)+F_{192}\! \left(x \right)
F_{187}\! \left(x \right) = F_{17}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{190}\! \left(x \right)
F_{189}\! \left(x \right) = F_{186}\! \left(x \right)+F_{60}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{201}\! \left(x \right)
F_{191}\! \left(x \right) = F_{145}\! \left(x \right)+F_{192}\! \left(x \right)+F_{65}\! \left(x \right)
F_{192}\! \left(x \right) = F_{17}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = F_{17}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{65}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{199}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = x^{2}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{17}\! \left(x \right) F_{195}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{17}\! \left(x \right) F_{186}\! \left(x \right)
F_{203}\! \left(x \right) = F_{145}\! \left(x \right)+F_{204}\! \left(x \right)+F_{210}\! \left(x \right)+F_{224}\! \left(x \right)
F_{204}\! \left(x \right) = F_{17}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{207}\! \left(x \right)
F_{206}\! \left(x \right) = F_{182}\! \left(x \right)+F_{203}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{261}\! \left(x \right)
F_{208}\! \left(x \right) = F_{145}\! \left(x \right)+F_{209}\! \left(x \right)+F_{210}\! \left(x \right)+F_{224}\! \left(x \right)
F_{209}\! \left(x \right) = F_{17}\! \left(x \right) F_{182}\! \left(x \right)
F_{210}\! \left(x \right) = F_{17}\! \left(x \right) F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{213}\! \left(x \right)
F_{212}\! \left(x \right) = F_{191}\! \left(x \right)+F_{208}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{218}\! \left(x \right)
F_{214}\! \left(x \right) = F_{145}\! \left(x \right)+F_{202}\! \left(x \right)+F_{215}\! \left(x \right)+F_{217}\! \left(x \right)
F_{215}\! \left(x \right) = F_{17}\! \left(x \right) F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{190}\! \left(x \right)
F_{217}\! \left(x \right) = 0
F_{218}\! \left(x \right) = F_{145}\! \left(x \right)+F_{219}\! \left(x \right)+F_{220}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{219}\! \left(x \right) = F_{17}\! \left(x \right) F_{203}\! \left(x \right)
F_{220}\! \left(x \right) = F_{17}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{207}\! \left(x \right)
F_{222}\! \left(x \right) = 0
F_{223}\! \left(x \right) = 0
F_{224}\! \left(x \right) = F_{17}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{240}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{230}\! \left(x \right)
F_{227}\! \left(x \right) = F_{145}\! \left(x \right)+F_{228}\! \left(x \right)+F_{65}\! \left(x \right)
F_{228}\! \left(x \right) = F_{17}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{194}\! \left(x \right)
F_{230}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{231}\! \left(x \right)+F_{238}\! \left(x \right)
F_{231}\! \left(x \right) = F_{17}\! \left(x \right) F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{17}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{235}\! \left(x \right) = F_{232}\! \left(x \right)+F_{60}\! \left(x \right)
F_{236}\! \left(x \right) = F_{195}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{231}\! \left(x \right)
F_{238}\! \left(x \right) = F_{17}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{236}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{251}\! \left(x \right)
F_{241}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{242}\! \left(x \right)+F_{249}\! \left(x \right)
F_{242}\! \left(x \right) = F_{17}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{17}\! \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_{17}\! \left(x \right)+F_{243}\! \left(x \right)
F_{247}\! \left(x \right) = F_{197}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{242}\! \left(x \right)
F_{249}\! \left(x \right) = F_{17}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{247}\! \left(x \right)
F_{251}\! \left(x \right) = 3 F_{145}\! \left(x \right)+F_{252}\! \left(x \right)+F_{259}\! \left(x \right)
F_{252}\! \left(x \right) = F_{17}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{17}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{195}\! \left(x \right)+F_{253}\! \left(x \right)
F_{257}\! \left(x \right) = F_{199}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{252}\! \left(x \right)
F_{259}\! \left(x \right) = F_{17}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{257}\! \left(x \right)
F_{261}\! \left(x \right) = F_{219}\! \left(x \right)
F_{262}\! \left(x \right) = F_{17}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{265}\! \left(x \right)
F_{264}\! \left(x \right) = F_{232}\! \left(x \right)+F_{60}\! \left(x \right)
F_{265}\! \left(x \right) = F_{243}\! \left(x \right)+F_{253}\! \left(x \right)
F_{266}\! \left(x \right) = -F_{269}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = \frac{F_{268}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{268}\! \left(x \right) = F_{36}\! \left(x \right)
F_{269}\! \left(x \right) = F_{170}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)+F_{60}\! \left(x \right)
F_{271}\! \left(x \right) = F_{145}\! \left(x \right)+F_{272}\! \left(x \right)+F_{345}\! \left(x \right)
F_{272}\! \left(x \right) = F_{17}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{270}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{289}\! \left(x \right)
F_{275}\! \left(x \right) = F_{145}\! \left(x \right)+F_{276}\! \left(x \right)+F_{281}\! \left(x \right)
F_{276}\! \left(x \right) = F_{17}\! \left(x \right) F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)+F_{279}\! \left(x \right)
F_{278}\! \left(x \right) = F_{275}\! \left(x \right)+F_{60}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{287}\! \left(x \right)
F_{280}\! \left(x \right) = F_{145}\! \left(x \right)+F_{281}\! \left(x \right)+F_{65}\! \left(x \right)
F_{281}\! \left(x \right) = F_{17}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)+F_{63}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{198}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = F_{17}\! \left(x \right) F_{275}\! \left(x \right)
F_{289}\! \left(x \right) = F_{145}\! \left(x \right)+F_{290}\! \left(x \right)+F_{296}\! \left(x \right)+F_{310}\! \left(x \right)
F_{290}\! \left(x \right) = F_{17}\! \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_{271}\! \left(x \right)+F_{289}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)+F_{344}\! \left(x \right)
F_{294}\! \left(x \right) = F_{145}\! \left(x \right)+F_{295}\! \left(x \right)+F_{296}\! \left(x \right)+F_{310}\! \left(x \right)
F_{295}\! \left(x \right) = F_{17}\! \left(x \right) F_{271}\! \left(x \right)
F_{296}\! \left(x \right) = F_{17}\! \left(x \right) F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)+F_{299}\! \left(x \right)
F_{298}\! \left(x \right) = F_{280}\! \left(x \right)+F_{294}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)+F_{304}\! \left(x \right)
F_{300}\! \left(x \right) = F_{145}\! \left(x \right)+F_{288}\! \left(x \right)+F_{301}\! \left(x \right)+F_{303}\! \left(x \right)
F_{301}\! \left(x \right) = F_{17}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{279}\! \left(x \right)
F_{303}\! \left(x \right) = 0
F_{304}\! \left(x \right) = F_{145}\! \left(x \right)+F_{305}\! \left(x \right)+F_{306}\! \left(x \right)+F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{305}\! \left(x \right) = F_{17}\! \left(x \right) F_{289}\! \left(x \right)
F_{306}\! \left(x \right) = F_{17}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{293}\! \left(x \right)
F_{308}\! \left(x \right) = 0
F_{309}\! \left(x \right) = 0
F_{310}\! \left(x \right) = F_{17}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{323}\! \left(x \right)
F_{312}\! \left(x \right) = F_{156}\! \left(x \right)+F_{313}\! \left(x \right)
F_{313}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{314}\! \left(x \right)+F_{321}\! \left(x \right)
F_{314}\! \left(x \right) = F_{17}\! \left(x \right) F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{17}\! \left(x \right) F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)+F_{319}\! \left(x \right)
F_{318}\! \left(x \right) = F_{315}\! \left(x \right)+F_{60}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{64}\! \left(x \right)
F_{320}\! \left(x \right) = F_{314}\! \left(x \right)
F_{321}\! \left(x \right) = F_{17}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{319}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{334}\! \left(x \right)
F_{324}\! \left(x \right) = 2 F_{145}\! \left(x \right)+F_{325}\! \left(x \right)+F_{332}\! \left(x \right)
F_{325}\! \left(x \right) = F_{17}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{17}\! \left(x \right) F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{330}\! \left(x \right)
F_{329}\! \left(x \right) = F_{17}\! \left(x \right)+F_{326}\! \left(x \right)
F_{330}\! \left(x \right) = F_{284}\! \left(x \right)+F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{325}\! \left(x \right)
F_{332}\! \left(x \right) = F_{17}\! \left(x \right) F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{330}\! \left(x \right)
F_{334}\! \left(x \right) = 3 F_{145}\! \left(x \right)+F_{335}\! \left(x \right)+F_{342}\! \left(x \right)
F_{335}\! \left(x \right) = F_{17}\! \left(x \right) F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{17}\! \left(x \right) F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)+F_{340}\! \left(x \right)
F_{339}\! \left(x \right) = F_{336}\! \left(x \right)+F_{64}\! \left(x \right)
F_{340}\! \left(x \right) = F_{285}\! \left(x \right)+F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{335}\! \left(x \right)
F_{342}\! \left(x \right) = F_{17}\! \left(x \right) F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{340}\! \left(x \right)
F_{344}\! \left(x \right) = F_{305}\! \left(x \right)
F_{345}\! \left(x \right) = F_{17}\! \left(x \right) F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)+F_{348}\! \left(x \right)
F_{347}\! \left(x \right) = F_{315}\! \left(x \right)+F_{60}\! \left(x \right)
F_{348}\! \left(x \right) = F_{326}\! \left(x \right)+F_{336}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right) F_{72}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{361}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{17}\! \left(x \right) F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = \frac{F_{357}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{360}\! \left(x \right) = F_{19}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)+F_{364}\! \left(x \right)
F_{362}\! \left(x \right) = F_{2}\! \left(x \right) F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{137}\! \left(x \right)+F_{350}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{131}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{17}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{131}\! \left(x \right)+F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{0}\! \left(x \right) F_{363}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{0}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = -F_{444}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)+F_{443}\! \left(x \right)
F_{374}\! \left(x \right) = -F_{406}\! \left(x \right)+F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = \frac{F_{376}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)
F_{378}\! \left(x \right) = F_{17}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = \frac{F_{380}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{398}\! \left(x \right)
F_{382}\! \left(x \right) = -F_{391}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)+F_{385}\! \left(x \right)
F_{384}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{385}\! \left(x \right) = F_{35}\! \left(x \right)+F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{17}\! \left(x \right) F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{390}\! \left(x \right)
F_{389}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{390}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right)
F_{391}\! \left(x \right) = F_{0}\! \left(x \right)+F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{2}\! \left(x \right)+F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = F_{17}\! \left(x \right) F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{397}\! \left(x \right)
F_{396}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{397}\! \left(x \right) = F_{0}\! \left(x \right) F_{35}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right) F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{18}\! \left(x \right)+F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = -F_{405}\! \left(x \right)+F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = -F_{381}\! \left(x \right)+F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = \frac{F_{404}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{404}\! \left(x \right) = F_{19}\! \left(x \right)
F_{405}\! \left(x \right) = F_{2}\! \left(x \right)+F_{393}\! \left(x \right)
F_{406}\! \left(x \right) = -F_{409}\! \left(x \right)+F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{408}\! \left(x \right) = F_{377}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{437}\! \left(x \right)
F_{411}\! \left(x \right) = -F_{434}\! \left(x \right)+F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{413}\! \left(x \right)+F_{414}\! \left(x \right)
F_{413}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{414}\! \left(x \right) = -F_{418}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = -F_{416}\! \left(x \right)+F_{407}\! \left(x \right)
F_{416}\! \left(x \right) = \frac{F_{417}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{417}\! \left(x \right) = F_{9}\! \left(x \right)
F_{418}\! \left(x \right) = F_{419}\! \left(x \right)
F_{419}\! \left(x \right) = -F_{422}\! \left(x \right)+F_{420}\! \left(x \right)
F_{420}\! \left(x \right) = \frac{F_{421}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{421}\! \left(x \right) = F_{99}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{425}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{24}\! \left(x \right) F_{30}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{432}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{431}\! \left(x \right)
F_{427}\! \left(x \right) = -F_{430}\! \left(x \right)+F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = \frac{F_{429}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{429}\! \left(x \right) = F_{11}\! \left(x \right)
F_{430}\! \left(x \right) = F_{88}\! \left(x \right)
F_{431}\! \left(x \right) = F_{97}\! \left(x \right)
F_{432}\! \left(x \right) = F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{17}\! \left(x \right) F_{426}\! \left(x \right)
F_{434}\! \left(x \right) = F_{391}\! \left(x \right)+F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{436}\! \left(x \right)+F_{5}\! \left(x \right)
F_{436}\! \left(x \right) = -F_{392}\! \left(x \right)+F_{377}\! \left(x \right)
F_{437}\! \left(x \right) = -F_{440}\! \left(x \right)+F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = \frac{F_{439}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{439}\! \left(x \right) = F_{98}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = -F_{442}\! \left(x \right)+F_{432}\! \left(x \right)
F_{442}\! \left(x \right) = F_{17}\! \left(x \right) F_{84}\! \left(x \right)
F_{443}\! \left(x \right) = -F_{448}\! \left(x \right)+F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = F_{17}\! \left(x \right) F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = \frac{F_{447}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{447}\! \left(x \right) = F_{361}\! \left(x \right)
F_{448}\! \left(x \right) = -F_{561}\! \left(x \right)+F_{449}\! \left(x \right)
F_{449}\! \left(x \right) = \frac{F_{450}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{450}\! \left(x \right) = F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = -F_{458}\! \left(x \right)+F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = \frac{F_{453}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{453}\! \left(x \right) = F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{17}\! \left(x \right) F_{24}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{377}\! \left(x \right)+F_{457}\! \left(x \right)
F_{457}\! \left(x \right) = F_{454}\! \left(x \right)+F_{5}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{17}\! \left(x \right) F_{460}\! \left(x \right) F_{59}\! \left(x \right)
F_{460}\! \left(x \right) = F_{461}\! \left(x \right)+F_{560}\! \left(x \right)
F_{461}\! \left(x \right) = F_{24}\! \left(x \right) F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = F_{451}\! \left(x \right)+F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = -F_{466}\! \left(x \right)+F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = \frac{F_{465}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{465}\! \left(x \right) = F_{435}\! \left(x \right)
F_{466}\! \left(x \right) = -F_{469}\! \left(x \right)+F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = \frac{F_{468}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{468}\! \left(x \right) = F_{436}\! \left(x \right)
F_{469}\! \left(x \right) = F_{470}\! \left(x \right)
F_{470}\! \left(x \right) = F_{17}\! \left(x \right) F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = -F_{542}\! \left(x \right)+F_{472}\! \left(x \right)
F_{472}\! \left(x \right) = \frac{F_{473}\! \left(x \right)}{F_{17}\! \left(x \right) F_{59}\! \left(x \right)}
F_{473}\! \left(x \right) = F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{17}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)+F_{497}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{535}\! \left(x \right)
F_{477}\! \left(x \right) = \frac{F_{478}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{478}\! \left(x \right) = F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{534}\! \left(x \right)
F_{480}\! \left(x \right) = -F_{533}\! \left(x \right)+F_{481}\! \left(x \right)
F_{481}\! \left(x \right) = -F_{532}\! \left(x \right)+F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = -F_{495}\! \left(x \right)+F_{483}\! \left(x \right)
F_{483}\! \left(x \right) = \frac{F_{484}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)
F_{485}\! \left(x \right) = F_{486}\! \left(x \right)
F_{486}\! \left(x \right) = F_{17}\! \left(x \right) F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{488}\! \left(x \right)+F_{490}\! \left(x \right)
F_{488}\! \left(x \right) = F_{489}\! \left(x \right)
F_{489}\! \left(x \right) = F_{24}\! \left(x \right) F_{269}\! \left(x \right) F_{59}\! \left(x \right)
F_{490}\! \left(x \right) = -F_{493}\! \left(x \right)+F_{491}\! \left(x \right)
F_{491}\! \left(x \right) = \frac{F_{492}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{492}\! \left(x \right) = F_{173}\! \left(x \right)
F_{493}\! \left(x \right) = F_{494}\! \left(x \right)
F_{494}\! \left(x \right) = F_{169}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{495}\! \left(x \right) = F_{496}\! \left(x \right)
F_{496}\! \left(x \right) = F_{17}\! \left(x \right) F_{497}\! \left(x \right)
F_{497}\! \left(x \right) = -F_{500}\! \left(x \right)+F_{498}\! \left(x \right)
F_{498}\! \left(x \right) = \frac{F_{499}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{499}\! \left(x \right) = F_{490}\! \left(x \right)
F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{511}\! \left(x \right)
F_{501}\! \left(x \right) = \frac{F_{502}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{502}\! \left(x \right) = F_{503}\! \left(x \right)
F_{503}\! \left(x \right) = -F_{509}\! \left(x \right)+F_{504}\! \left(x \right)
F_{504}\! \left(x \right) = F_{505}\! \left(x \right)+F_{507}\! \left(x \right)
F_{505}\! \left(x \right) = F_{266}\! \left(x \right)+F_{506}\! \left(x \right)
F_{506}\! \left(x \right) = F_{138}\! \left(x \right)+F_{269}\! \left(x \right)
F_{507}\! \left(x \right) = F_{508}\! \left(x \right)
F_{508}\! \left(x \right) = F_{17}\! \left(x \right) F_{504}\! \left(x \right) F_{93}\! \left(x \right)
F_{509}\! \left(x \right) = F_{510}\! \left(x \right)
F_{510}\! \left(x \right) = F_{506}\! \left(x \right) F_{59}\! \left(x \right)
F_{511}\! \left(x \right) = F_{17}\! \left(x \right) F_{512}\! \left(x \right) F_{59}\! \left(x \right)
F_{512}\! \left(x \right) = F_{513}\! \left(x \right)+F_{518}\! \left(x \right)
F_{513}\! \left(x \right) = F_{514}\! \left(x \right)+F_{516}\! \left(x \right)
F_{514}\! \left(x \right) = \frac{F_{515}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{515}\! \left(x \right) = F_{85}\! \left(x \right)
F_{516}\! \left(x \right) = F_{517}\! \left(x \right)
F_{517}\! \left(x \right) = F_{17}\! \left(x \right) F_{356}\! \left(x \right) F_{93}\! \left(x \right)
F_{518}\! \left(x \right) = -F_{529}\! \left(x \right)+F_{519}\! \left(x \right)
F_{519}\! \left(x \right) = \frac{F_{520}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{520}\! \left(x \right) = F_{521}\! \left(x \right)
F_{521}\! \left(x \right) = -F_{522}\! \left(x \right)+F_{266}\! \left(x \right)
F_{522}\! \left(x \right) = F_{523}\! \left(x \right)+F_{524}\! \left(x \right)
F_{523}\! \left(x \right) = F_{139}\! \left(x \right) F_{2}\! \left(x \right)
F_{524}\! \left(x \right) = F_{525}\! \left(x \right)
F_{525}\! \left(x \right) = F_{17}\! \left(x \right) F_{526}\! \left(x \right)
F_{526}\! \left(x \right) = F_{527}\! \left(x \right)+F_{528}\! \left(x \right)
F_{527}\! \left(x \right) = F_{15}\! \left(x \right) F_{165}\! \left(x \right)
F_{528}\! \left(x \right) = F_{354}\! \left(x \right) F_{71}\! \left(x \right)
F_{529}\! \left(x \right) = -F_{530}\! \left(x \right)+F_{513}\! \left(x \right)
F_{530}\! \left(x \right) = \frac{F_{531}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{531}\! \left(x \right) = F_{522}\! \left(x \right)
F_{532}\! \left(x \right) = F_{17}\! \left(x \right) F_{59}\! \left(x \right) F_{86}\! \left(x \right)
F_{533}\! \left(x \right) = F_{59}\! \left(x \right) F_{88}\! \left(x \right)
F_{534}\! \left(x \right) = F_{59}\! \left(x \right) F_{97}\! \left(x \right)
F_{535}\! \left(x \right) = F_{17}\! \left(x \right) F_{536}\! \left(x \right) F_{59}\! \left(x \right)
F_{536}\! \left(x \right) = F_{513}\! \left(x \right)+F_{537}\! \left(x \right)
F_{537}\! \left(x \right) = F_{538}\! \left(x \right)
F_{538}\! \left(x \right) = F_{539}\! \left(x \right) F_{93}\! \left(x \right)
F_{539}\! \left(x \right) = F_{485}\! \left(x \right)+F_{540}\! \left(x \right)
F_{540}\! \left(x \right) = F_{541}\! \left(x \right)
F_{541}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right) F_{59}\! \left(x \right)
F_{542}\! \left(x \right) = F_{17}\! \left(x \right) F_{543}\! \left(x \right)
F_{543}\! \left(x \right) = -F_{544}\! \left(x \right)+F_{471}\! \left(x \right)
F_{544}\! \left(x \right) = -F_{547}\! \left(x \right)+F_{545}\! \left(x \right)
F_{545}\! \left(x \right) = \frac{F_{546}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{546}\! \left(x \right) = F_{518}\! \left(x \right)
F_{547}\! \left(x \right) = F_{548}\! \left(x \right)+F_{555}\! \left(x \right)
F_{548}\! \left(x \right) = \frac{F_{549}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{549}\! \left(x \right) = F_{550}\! \left(x \right)
F_{550}\! \left(x \right) = -F_{554}\! \left(x \right)+F_{551}\! \left(x \right)
F_{551}\! \left(x \right) = F_{505}\! \left(x \right)+F_{552}\! \left(x \right)
F_{552}\! \left(x \right) = F_{553}\! \left(x \right)
F_{553}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{176}\! \left(x \right)
F_{554}\! \left(x \right) = F_{137}\! \left(x \right)+F_{269}\! \left(x \right)
F_{555}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{545}\! \left(x \right)
F_{556}\! \left(x \right) = -F_{559}\! \left(x \right)+F_{557}\! \left(x \right)
F_{557}\! \left(x \right) = \frac{F_{558}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{558}\! \left(x \right) = F_{518}\! \left(x \right)
F_{559}\! \left(x \right) = F_{17}\! \left(x \right) F_{548}\! \left(x \right)
F_{560}\! \left(x \right) = F_{451}\! \left(x \right)
F_{561}\! \left(x \right) = -F_{562}\! \left(x \right)+F_{406}\! \left(x \right)
F_{562}\! \left(x \right) = F_{122}\! \left(x \right)+F_{84}\! \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_17(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_17(x)*F_7(x))
Eq(F_7(x), F_108(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_0(x)*F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_17(x))
Eq(F_13(x), F_103(x) + F_14(x))
Eq(F_14(x), F_15(x)*F_18(x))
Eq(F_15(x), F_16(x)/F_17(x))
Eq(F_16(x), F_2(x))
Eq(F_17(x), x)
Eq(F_18(x), F_19(x) + F_2(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_17(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_27(x))
Eq(F_22(x), F_23(x) + F_25(x))
Eq(F_23(x), F_2(x)*F_24(x))
Eq(F_24(x), F_1(x) + F_17(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_17(x)*F_21(x)*F_24(x))
Eq(F_27(x), F_28(x) + F_83(x))
Eq(F_28(x), F_18(x) + F_29(x))
Eq(F_29(x), -F_23(x) + F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_17(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_38(x))
Eq(F_33(x), F_34(x)/F_17(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_2(x) + F_36(x))
Eq(F_36(x), -F_2(x) + F_37(x))
Eq(F_37(x), -F_0(x) + F_15(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_17(x)*F_40(x))
Eq(F_40(x), F_33(x) + F_41(x))
Eq(F_41(x), -F_101(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_17(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) + F_73(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_17(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_69(x))
Eq(F_48(x), F_2(x)*F_49(x))
Eq(F_49(x), F_0(x) + F_50(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_17(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_66(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_17(x)*F_24(x)*F_56(x)*F_59(x))
Eq(F_56(x), F_49(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_17(x)*F_24(x)*F_52(x)*F_59(x))
Eq(F_59(x), F_1(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_17(x)*F_62(x))
Eq(F_62(x), F_59(x) + F_63(x))
Eq(F_63(x), F_17(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_17(x)*F_60(x))
Eq(F_66(x), -F_54(x) + F_67(x))
Eq(F_67(x), F_68(x)/F_17(x))
Eq(F_68(x), F_19(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)*F_52(x)*F_71(x))
Eq(F_71(x), F_0(x) + F_72(x))
Eq(F_72(x), F_2(x) + F_45(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_17(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_81(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_15(x)*F_36(x))
Eq(F_78(x), F_71(x)*F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_17(x)*F_18(x))
Eq(F_81(x), F_71(x)*F_82(x))
Eq(F_82(x), F_29(x) + F_83(x))
Eq(F_83(x), -F_100(x) + F_84(x))
Eq(F_84(x), F_85(x) + F_97(x))
Eq(F_85(x), F_86(x) - F_88(x))
Eq(F_86(x), F_87(x)/F_17(x))
Eq(F_87(x), F_36(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_17(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_96(x))
Eq(F_91(x), F_32(x) + F_92(x))
Eq(F_92(x), F_54(x)*F_93(x))
Eq(F_93(x), F_0(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_0(x)**2*F_17(x))
Eq(F_96(x), F_66(x)*F_93(x))
Eq(F_97(x), F_25(x) + F_98(x))
Eq(F_98(x), -F_29(x) + F_99(x))
Eq(F_99(x), -F_22(x) + F_88(x))
Eq(F_100(x), F_25(x) + F_35(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_17(x)*F_71(x)*F_90(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_17(x))
Eq(F_106(x), F_36(x))
Eq(F_107(x), F_15(x)*F_2(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_17(x))
Eq(F_110(x), F_111(x) + F_126(x))
Eq(F_111(x), F_112(x) + F_115(x))
Eq(F_112(x), F_113(x) + F_7(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_17(x)*F_40(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_0(x)*F_117(x))
Eq(F_117(x), F_118(x) + F_121(x))
Eq(F_118(x), F_119(x) + F_85(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_0(x)*F_17(x)*F_67(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) - F_125(x))
Eq(F_123(x), F_124(x)/F_17(x))
Eq(F_124(x), F_29(x))
Eq(F_125(x), F_24(x)*F_86(x))
Eq(F_126(x), F_127(x) + F_369(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_17(x))
Eq(F_129(x), F_130(x)/F_17(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_17(x))
Eq(F_133(x), F_134(x)/F_17(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x) + F_349(x))
Eq(F_136(x), F_137(x)*F_37(x))
Eq(F_137(x), F_138(x) + F_174(x))
Eq(F_138(x), F_139(x) + F_165(x))
Eq(F_139(x), F_1(x) + F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_17(x))
Eq(F_142(x), F_139(x) + F_143(x))
Eq(F_143(x), F_144(x) + F_60(x))
Eq(F_144(x), F_145(x) + F_146(x) + F_152(x))
Eq(F_145(x), 0)
Eq(F_146(x), F_147(x)*F_17(x))
Eq(F_147(x), F_148(x) + F_149(x))
Eq(F_148(x), F_140(x) + F_144(x))
Eq(F_149(x), F_150(x) + F_164(x))
Eq(F_150(x), F_145(x) + F_151(x) + F_152(x))
Eq(F_151(x), F_140(x)*F_17(x))
Eq(F_152(x), F_153(x)*F_17(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_150(x) + F_17(x))
Eq(F_155(x), F_156(x) + F_159(x))
Eq(F_156(x), F_145(x) + F_157(x) + F_65(x))
Eq(F_157(x), F_158(x)*F_17(x))
Eq(F_158(x), F_63(x))
Eq(F_159(x), F_145(x) + F_160(x) + F_161(x) + F_163(x))
Eq(F_160(x), F_144(x)*F_17(x))
Eq(F_161(x), F_162(x)*F_17(x))
Eq(F_162(x), F_149(x))
Eq(F_163(x), 0)
Eq(F_164(x), F_160(x))
Eq(F_165(x), F_166(x) + F_2(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_17(x))
Eq(F_168(x), F_169(x) + F_266(x))
Eq(F_169(x), F_165(x) + F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_17(x)*F_172(x)*F_24(x)*F_59(x))
Eq(F_172(x), F_165(x) + F_173(x))
Eq(F_173(x), F_174(x) - F_181(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_17(x)*F_176(x))
Eq(F_176(x), F_177(x) + F_179(x))
Eq(F_177(x), F_178(x)/F_17(x))
Eq(F_178(x), F_30(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_17(x)*F_176(x)*F_93(x))
Eq(F_181(x), F_182(x) + F_60(x))
Eq(F_182(x), F_145(x) + F_183(x) + F_262(x))
Eq(F_183(x), F_17(x)*F_184(x))
Eq(F_184(x), F_181(x) + F_185(x))
Eq(F_185(x), F_186(x) + F_203(x))
Eq(F_186(x), F_145(x) + F_187(x) + F_192(x))
Eq(F_187(x), F_17(x)*F_188(x))
Eq(F_188(x), F_189(x) + F_190(x))
Eq(F_189(x), F_186(x) + F_60(x))
Eq(F_190(x), F_191(x) + F_201(x))
Eq(F_191(x), F_145(x) + F_192(x) + F_65(x))
Eq(F_192(x), F_17(x)*F_193(x))
Eq(F_193(x), F_194(x) + F_196(x))
Eq(F_194(x), F_17(x) + F_195(x))
Eq(F_195(x), F_65(x))
Eq(F_196(x), F_197(x) + F_199(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), x**2)
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_17(x)*F_195(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_17(x)*F_186(x))
Eq(F_203(x), F_145(x) + F_204(x) + F_210(x) + F_224(x))
Eq(F_204(x), F_17(x)*F_205(x))
Eq(F_205(x), F_206(x) + F_207(x))
Eq(F_206(x), F_182(x) + F_203(x))
Eq(F_207(x), F_208(x) + F_261(x))
Eq(F_208(x), F_145(x) + F_209(x) + F_210(x) + F_224(x))
Eq(F_209(x), F_17(x)*F_182(x))
Eq(F_210(x), F_17(x)*F_211(x))
Eq(F_211(x), F_212(x) + F_213(x))
Eq(F_212(x), F_191(x) + F_208(x))
Eq(F_213(x), F_214(x) + F_218(x))
Eq(F_214(x), F_145(x) + F_202(x) + F_215(x) + F_217(x))
Eq(F_215(x), F_17(x)*F_216(x))
Eq(F_216(x), F_190(x))
Eq(F_217(x), 0)
Eq(F_218(x), F_145(x) + F_219(x) + F_220(x) + F_222(x) + F_223(x))
Eq(F_219(x), F_17(x)*F_203(x))
Eq(F_220(x), F_17(x)*F_221(x))
Eq(F_221(x), F_207(x))
Eq(F_222(x), 0)
Eq(F_223(x), 0)
Eq(F_224(x), F_17(x)*F_225(x))
Eq(F_225(x), F_226(x) + F_240(x))
Eq(F_226(x), F_227(x) + F_230(x))
Eq(F_227(x), F_145(x) + F_228(x) + F_65(x))
Eq(F_228(x), F_17(x)*F_229(x))
Eq(F_229(x), F_194(x))
Eq(F_230(x), 2*F_145(x) + F_231(x) + F_238(x))
Eq(F_231(x), F_17(x)*F_232(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_17(x)*F_234(x))
Eq(F_234(x), F_235(x) + F_236(x))
Eq(F_235(x), F_232(x) + F_60(x))
Eq(F_236(x), F_195(x) + F_237(x))
Eq(F_237(x), F_231(x))
Eq(F_238(x), F_17(x)*F_239(x))
Eq(F_239(x), F_236(x))
Eq(F_240(x), F_241(x) + F_251(x))
Eq(F_241(x), 2*F_145(x) + F_242(x) + F_249(x))
Eq(F_242(x), F_17(x)*F_243(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_17(x)*F_245(x))
Eq(F_245(x), F_246(x) + F_247(x))
Eq(F_246(x), F_17(x) + F_243(x))
Eq(F_247(x), F_197(x) + F_248(x))
Eq(F_248(x), F_242(x))
Eq(F_249(x), F_17(x)*F_250(x))
Eq(F_250(x), F_247(x))
Eq(F_251(x), 3*F_145(x) + F_252(x) + F_259(x))
Eq(F_252(x), F_17(x)*F_253(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_17(x)*F_255(x))
Eq(F_255(x), F_256(x) + F_257(x))
Eq(F_256(x), F_195(x) + F_253(x))
Eq(F_257(x), F_199(x) + F_258(x))
Eq(F_258(x), F_252(x))
Eq(F_259(x), F_17(x)*F_260(x))
Eq(F_260(x), F_257(x))
Eq(F_261(x), F_219(x))
Eq(F_262(x), F_17(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_265(x))
Eq(F_264(x), F_232(x) + F_60(x))
Eq(F_265(x), F_243(x) + F_253(x))
Eq(F_266(x), F_267(x) - F_269(x))
Eq(F_267(x), F_268(x)/F_17(x))
Eq(F_268(x), F_36(x))
Eq(F_269(x), F_170(x) + F_270(x))
Eq(F_270(x), F_271(x) + F_60(x))
Eq(F_271(x), F_145(x) + F_272(x) + F_345(x))
Eq(F_272(x), F_17(x)*F_273(x))
Eq(F_273(x), F_270(x) + F_274(x))
Eq(F_274(x), F_275(x) + F_289(x))
Eq(F_275(x), F_145(x) + F_276(x) + F_281(x))
Eq(F_276(x), F_17(x)*F_277(x))
Eq(F_277(x), F_278(x) + F_279(x))
Eq(F_278(x), F_275(x) + F_60(x))
Eq(F_279(x), F_280(x) + F_287(x))
Eq(F_280(x), F_145(x) + F_281(x) + F_65(x))
Eq(F_281(x), F_17(x)*F_282(x))
Eq(F_282(x), F_283(x) + F_63(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_198(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_17(x)*F_64(x))
Eq(F_287(x), F_288(x))
Eq(F_288(x), F_17(x)*F_275(x))
Eq(F_289(x), F_145(x) + F_290(x) + F_296(x) + F_310(x))
Eq(F_290(x), F_17(x)*F_291(x))
Eq(F_291(x), F_292(x) + F_293(x))
Eq(F_292(x), F_271(x) + F_289(x))
Eq(F_293(x), F_294(x) + F_344(x))
Eq(F_294(x), F_145(x) + F_295(x) + F_296(x) + F_310(x))
Eq(F_295(x), F_17(x)*F_271(x))
Eq(F_296(x), F_17(x)*F_297(x))
Eq(F_297(x), F_298(x) + F_299(x))
Eq(F_298(x), F_280(x) + F_294(x))
Eq(F_299(x), F_300(x) + F_304(x))
Eq(F_300(x), F_145(x) + F_288(x) + F_301(x) + F_303(x))
Eq(F_301(x), F_17(x)*F_302(x))
Eq(F_302(x), F_279(x))
Eq(F_303(x), 0)
Eq(F_304(x), F_145(x) + F_305(x) + F_306(x) + F_308(x) + F_309(x))
Eq(F_305(x), F_17(x)*F_289(x))
Eq(F_306(x), F_17(x)*F_307(x))
Eq(F_307(x), F_293(x))
Eq(F_308(x), 0)
Eq(F_309(x), 0)
Eq(F_310(x), F_17(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_323(x))
Eq(F_312(x), F_156(x) + F_313(x))
Eq(F_313(x), 2*F_145(x) + F_314(x) + F_321(x))
Eq(F_314(x), F_17(x)*F_315(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_17(x)*F_317(x))
Eq(F_317(x), F_318(x) + F_319(x))
Eq(F_318(x), F_315(x) + F_60(x))
Eq(F_319(x), F_320(x) + F_64(x))
Eq(F_320(x), F_314(x))
Eq(F_321(x), F_17(x)*F_322(x))
Eq(F_322(x), F_319(x))
Eq(F_323(x), F_324(x) + F_334(x))
Eq(F_324(x), 2*F_145(x) + F_325(x) + F_332(x))
Eq(F_325(x), F_17(x)*F_326(x))
Eq(F_326(x), F_327(x))
Eq(F_327(x), F_17(x)*F_328(x))
Eq(F_328(x), F_329(x) + F_330(x))
Eq(F_329(x), F_17(x) + F_326(x))
Eq(F_330(x), F_284(x) + F_331(x))
Eq(F_331(x), F_325(x))
Eq(F_332(x), F_17(x)*F_333(x))
Eq(F_333(x), F_330(x))
Eq(F_334(x), 3*F_145(x) + F_335(x) + F_342(x))
Eq(F_335(x), F_17(x)*F_336(x))
Eq(F_336(x), F_337(x))
Eq(F_337(x), F_17(x)*F_338(x))
Eq(F_338(x), F_339(x) + F_340(x))
Eq(F_339(x), F_336(x) + F_64(x))
Eq(F_340(x), F_285(x) + F_341(x))
Eq(F_341(x), F_335(x))
Eq(F_342(x), F_17(x)*F_343(x))
Eq(F_343(x), F_340(x))
Eq(F_344(x), F_305(x))
Eq(F_345(x), F_17(x)*F_346(x))
Eq(F_346(x), F_347(x) + F_348(x))
Eq(F_347(x), F_315(x) + F_60(x))
Eq(F_348(x), F_326(x) + F_336(x))
Eq(F_349(x), F_350(x)*F_72(x))
Eq(F_350(x), F_351(x) - F_361(x))
Eq(F_351(x), F_352(x)/F_17(x))
Eq(F_352(x), F_353(x))
Eq(F_353(x), -F_18(x) + F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_17(x)*F_356(x))
Eq(F_356(x), F_357(x)/F_17(x))
Eq(F_357(x), F_358(x))
Eq(F_358(x), -F_174(x) + F_359(x))
Eq(F_359(x), F_360(x)/F_17(x))
Eq(F_360(x), F_19(x))
Eq(F_361(x), F_362(x) + F_364(x))
Eq(F_362(x), F_2(x)*F_363(x))
Eq(F_363(x), F_137(x) + F_350(x))
Eq(F_364(x), F_131(x) - F_365(x))
Eq(F_365(x), F_366(x))
Eq(F_366(x), F_17(x)*F_367(x))
Eq(F_367(x), F_131(x) + F_368(x))
Eq(F_368(x), F_0(x)*F_363(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_0(x)*F_371(x))
Eq(F_371(x), F_372(x))
Eq(F_372(x), F_373(x) - F_444(x))
Eq(F_373(x), F_374(x) + F_443(x))
Eq(F_374(x), F_375(x) - F_406(x))
Eq(F_375(x), F_376(x)/F_17(x))
Eq(F_376(x), F_377(x))
Eq(F_377(x), F_378(x))
Eq(F_378(x), F_17(x)*F_379(x))
Eq(F_379(x), F_380(x)/F_17(x))
Eq(F_380(x), F_381(x))
Eq(F_381(x), F_382(x) + F_398(x))
Eq(F_382(x), F_383(x) - F_391(x))
Eq(F_383(x), F_384(x) + F_385(x))
Eq(F_384(x), F_0(x)**2)
Eq(F_385(x), F_35(x) + F_386(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), F_17(x)*F_388(x))
Eq(F_388(x), F_389(x) + F_390(x))
Eq(F_389(x), F_35(x)*F_4(x))
Eq(F_390(x), F_0(x)*F_113(x))
Eq(F_391(x), F_0(x) + F_392(x))
Eq(F_392(x), F_2(x) + F_393(x))
Eq(F_393(x), F_394(x))
Eq(F_394(x), F_17(x)*F_395(x))
Eq(F_395(x), F_396(x) + F_397(x))
Eq(F_396(x), F_2(x)*F_4(x))
Eq(F_397(x), F_0(x)*F_35(x))
Eq(F_398(x), F_399(x))
Eq(F_399(x), F_15(x)*F_17(x)*F_400(x))
Eq(F_400(x), F_18(x) + F_401(x))
Eq(F_401(x), F_402(x) - F_405(x))
Eq(F_402(x), -F_381(x) + F_403(x))
Eq(F_403(x), F_404(x)/F_17(x))
Eq(F_404(x), F_19(x))
Eq(F_405(x), F_2(x) + F_393(x))
Eq(F_406(x), F_407(x) - F_409(x))
Eq(F_407(x), F_408(x)/F_17(x))
Eq(F_408(x), F_377(x))
Eq(F_409(x), F_410(x))
Eq(F_410(x), F_411(x) + F_437(x))
Eq(F_411(x), F_412(x) - F_434(x))
Eq(F_412(x), F_413(x) + F_414(x))
Eq(F_413(x), F_0(x)*F_4(x))
Eq(F_414(x), F_415(x) - F_418(x))
Eq(F_415(x), F_407(x) - F_416(x))
Eq(F_416(x), F_417(x)/F_17(x))
Eq(F_417(x), F_9(x))
Eq(F_418(x), F_419(x))
Eq(F_419(x), F_420(x) - F_422(x))
Eq(F_420(x), F_421(x)/F_17(x))
Eq(F_421(x), F_99(x))
Eq(F_422(x), F_423(x) + F_425(x))
Eq(F_423(x), F_424(x))
Eq(F_424(x), F_24(x)*F_30(x))
Eq(F_425(x), F_426(x) + F_432(x))
Eq(F_426(x), F_427(x) + F_431(x))
Eq(F_427(x), F_428(x) - F_430(x))
Eq(F_428(x), F_429(x)/F_17(x))
Eq(F_429(x), F_11(x))
Eq(F_430(x), F_88(x))
Eq(F_431(x), F_97(x))
Eq(F_432(x), F_433(x))
Eq(F_433(x), F_17(x)*F_426(x))
Eq(F_434(x), F_391(x) + F_435(x))
Eq(F_435(x), F_436(x) + F_5(x))
Eq(F_436(x), F_377(x) - F_392(x))
Eq(F_437(x), F_438(x) - F_440(x))
Eq(F_438(x), F_439(x)/F_17(x))
Eq(F_439(x), F_98(x))
Eq(F_440(x), F_441(x))
Eq(F_441(x), F_432(x) - F_442(x))
Eq(F_442(x), F_17(x)*F_84(x))
Eq(F_443(x), F_444(x) - F_448(x))
Eq(F_444(x), F_445(x))
Eq(F_445(x), F_17(x)*F_446(x))
Eq(F_446(x), F_447(x)/F_17(x))
Eq(F_447(x), F_361(x))
Eq(F_448(x), F_449(x) - F_561(x))
Eq(F_449(x), F_450(x)/F_17(x))
Eq(F_450(x), F_451(x))
Eq(F_451(x), F_452(x) - F_458(x))
Eq(F_452(x), F_453(x)/F_17(x))
Eq(F_453(x), F_454(x))
Eq(F_454(x), F_455(x))
Eq(F_455(x), F_17(x)*F_24(x)*F_456(x))
Eq(F_456(x), F_377(x) + F_457(x))
Eq(F_457(x), F_454(x) + F_5(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_17(x)*F_460(x)*F_59(x))
Eq(F_460(x), F_461(x) + F_560(x))
Eq(F_461(x), F_24(x)*F_462(x))
Eq(F_462(x), F_451(x) + F_463(x))
Eq(F_463(x), F_464(x) - F_466(x))
Eq(F_464(x), F_465(x)/F_17(x))
Eq(F_465(x), F_435(x))
Eq(F_466(x), F_467(x) - F_469(x))
Eq(F_467(x), F_468(x)/F_17(x))
Eq(F_468(x), F_436(x))
Eq(F_469(x), F_470(x))
Eq(F_470(x), F_17(x)*F_471(x))
Eq(F_471(x), F_472(x) - F_542(x))
Eq(F_472(x), F_473(x)/(F_17(x)*F_59(x)))
Eq(F_473(x), F_474(x))
Eq(F_474(x), F_17(x)*F_475(x))
Eq(F_475(x), F_476(x) + F_497(x))
Eq(F_476(x), F_477(x) + F_535(x))
Eq(F_477(x), F_478(x)/F_17(x))
Eq(F_478(x), F_479(x))
Eq(F_479(x), F_480(x) + F_534(x))
Eq(F_480(x), F_481(x) - F_533(x))
Eq(F_481(x), F_482(x) - F_532(x))
Eq(F_482(x), F_483(x) - F_495(x))
Eq(F_483(x), F_484(x)/F_17(x))
Eq(F_484(x), F_485(x))
Eq(F_485(x), F_486(x))
Eq(F_486(x), F_17(x)*F_487(x))
Eq(F_487(x), F_488(x) + F_490(x))
Eq(F_488(x), F_489(x))
Eq(F_489(x), F_24(x)*F_269(x)*F_59(x))
Eq(F_490(x), F_491(x) - F_493(x))
Eq(F_491(x), F_492(x)/F_17(x))
Eq(F_492(x), F_173(x))
Eq(F_493(x), F_494(x))
Eq(F_494(x), F_169(x)*F_24(x)*F_59(x))
Eq(F_495(x), F_496(x))
Eq(F_496(x), F_17(x)*F_497(x))
Eq(F_497(x), F_498(x) - F_500(x))
Eq(F_498(x), F_499(x)/F_17(x))
Eq(F_499(x), F_490(x))
Eq(F_500(x), F_501(x) + F_511(x))
Eq(F_501(x), F_502(x)/F_17(x))
Eq(F_502(x), F_503(x))
Eq(F_503(x), F_504(x) - F_509(x))
Eq(F_504(x), F_505(x) + F_507(x))
Eq(F_505(x), F_266(x) + F_506(x))
Eq(F_506(x), F_138(x) + F_269(x))
Eq(F_507(x), F_508(x))
Eq(F_508(x), F_17(x)*F_504(x)*F_93(x))
Eq(F_509(x), F_510(x))
Eq(F_510(x), F_506(x)*F_59(x))
Eq(F_511(x), F_17(x)*F_512(x)*F_59(x))
Eq(F_512(x), F_513(x) + F_518(x))
Eq(F_513(x), F_514(x) + F_516(x))
Eq(F_514(x), F_515(x)/F_17(x))
Eq(F_515(x), F_85(x))
Eq(F_516(x), F_517(x))
Eq(F_517(x), F_17(x)*F_356(x)*F_93(x))
Eq(F_518(x), F_519(x) - F_529(x))
Eq(F_519(x), F_520(x)/F_17(x))
Eq(F_520(x), F_521(x))
Eq(F_521(x), F_266(x) - F_522(x))
Eq(F_522(x), F_523(x) + F_524(x))
Eq(F_523(x), F_139(x)*F_2(x))
Eq(F_524(x), F_525(x))
Eq(F_525(x), F_17(x)*F_526(x))
Eq(F_526(x), F_527(x) + F_528(x))
Eq(F_527(x), F_15(x)*F_165(x))
Eq(F_528(x), F_354(x)*F_71(x))
Eq(F_529(x), F_513(x) - F_530(x))
Eq(F_530(x), F_531(x)/F_17(x))
Eq(F_531(x), F_522(x))
Eq(F_532(x), F_17(x)*F_59(x)*F_86(x))
Eq(F_533(x), F_59(x)*F_88(x))
Eq(F_534(x), F_59(x)*F_97(x))
Eq(F_535(x), F_17(x)*F_536(x)*F_59(x))
Eq(F_536(x), F_513(x) + F_537(x))
Eq(F_537(x), F_538(x))
Eq(F_538(x), F_539(x)*F_93(x))
Eq(F_539(x), F_485(x) + F_540(x))
Eq(F_540(x), F_541(x))
Eq(F_541(x), F_2(x)*F_24(x)*F_59(x))
Eq(F_542(x), F_17(x)*F_543(x))
Eq(F_543(x), F_471(x) - F_544(x))
Eq(F_544(x), F_545(x) - F_547(x))
Eq(F_545(x), F_546(x)/F_17(x))
Eq(F_546(x), F_518(x))
Eq(F_547(x), F_548(x) + F_555(x))
Eq(F_548(x), F_549(x)/F_17(x))
Eq(F_549(x), F_550(x))
Eq(F_550(x), F_551(x) - F_554(x))
Eq(F_551(x), F_505(x) + F_552(x))
Eq(F_552(x), F_553(x))
Eq(F_553(x), F_0(x)*F_17(x)*F_176(x))
Eq(F_554(x), F_137(x) + F_269(x))
Eq(F_555(x), F_545(x) - F_556(x))
Eq(F_556(x), F_557(x) - F_559(x))
Eq(F_557(x), F_558(x)/F_17(x))
Eq(F_558(x), F_518(x))
Eq(F_559(x), F_17(x)*F_548(x))
Eq(F_560(x), F_451(x))
Eq(F_561(x), F_406(x) - F_562(x))
Eq(F_562(x), F_122(x) + F_84(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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "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, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], 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4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 5], [1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[1, 5]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"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]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"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]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 1], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 4], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 0], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 1], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 2], [1, 4]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 0]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 4], [1, 4], [1, 4], [1, 4]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25979/
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[6,x]
F[6,x] = F[20,x]*F[7,x]
F[7,x] = F[106,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[0,x]*F[2,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[20,x]
F[13,x] = F[14,x]+F[52,x]
F[14,x] = F[15,x]*F[2,x]
F[15,x] = F[16,x]+F[34,x]
F[16,x] = F[17,x]+F[21,x]
F[17,x] = F[0,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[15,x]*F[20,x]
F[20,x] = x
F[21,x] = F[22,x]
F[22,x] = F[20,x]*F[23,x]*F[26,x]*F[27,x]
F[23,x] = F[17,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[15,x]*F[20,x]*F[26,x]*F[27,x]
F[26,x] = F[1,x]+F[20,x]
F[27,x] = F[1,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[20,x]*F[30,x]
F[30,x] = F[27,x]+F[31,x]
F[31,x] = F[20,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[20,x]*F[28,x]
F[34,x] = -F[21,x]+F[35,x]
F[35,x] = 1/F[20,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[20,x]*F[39,x]
F[39,x] = F[40,x]+F[44,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[2,x]+F[37,x]
F[42,x] = F[43,x]
F[43,x] = F[20,x]^2*F[15,x]
F[44,x] = -F[105,x]+F[45,x]
F[45,x] = F[46,x]+F[92,x]
F[46,x] = F[4,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[60,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[0,x]*F[17,x]
F[52,x] = -F[59,x]+F[53,x]
F[53,x] = 1/F[20,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[56,x]
F[56,x] = -F[0,x]+F[57,x]
F[57,x] = 1/F[20,x]*F[58,x]
F[58,x] = F[2,x]
F[59,x] = F[17,x]*F[2,x]
F[60,x] = F[61,x]
F[61,x] = F[20,x]*F[62,x]
F[62,x] = F[50,x]+F[63,x]
F[63,x] = -F[83,x]+F[64,x]
F[64,x] = 1/F[20,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[68,x]+F[67,x]
F[67,x] = F[68,x]+F[75,x]
F[68,x] = F[2,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[20,x]*F[71,x]
F[71,x] = F[59,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[20,x]*F[74,x]
F[74,x] = F[0,x]+F[68,x]
F[75,x] = F[76,x]
F[76,x] = F[20,x]*F[77,x]
F[77,x] = F[78,x]+F[82,x]
F[78,x] = F[79,x]+F[81,x]
F[79,x] = F[57,x]*F[80,x]
F[80,x] = F[2,x]+F[55,x]
F[81,x] = F[42,x]*F[74,x]
F[82,x] = F[44,x]*F[74,x]
F[83,x] = F[84,x]
F[84,x] = F[20,x]*F[74,x]*F[85,x]
F[85,x] = F[86,x]+F[91,x]
F[86,x] = F[49,x]+F[87,x]
F[87,x] = F[21,x]*F[88,x]
F[88,x] = F[0,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[0,x]^2*F[20,x]
F[91,x] = F[34,x]*F[88,x]
F[92,x] = F[93,x]+F[98,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[20,x]*F[95,x]
F[95,x] = F[55,x]
F[96,x] = F[97,x]
F[97,x] = F[20,x]*F[85,x]
F[98,x] = F[101,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[20,x]*F[26,x]*F[39,x]
F[101,x] = -F[103,x]+F[102,x]
F[102,x] = -F[40,x]+F[96,x]
F[103,x] = -F[104,x]+F[47,x]
F[104,x] = F[2,x]*F[26,x]
F[105,x] = F[40,x]+F[57,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[20,x]
F[108,x] = F[109,x]+F[124,x]
F[109,x] = F[110,x]+F[113,x]
F[110,x] = F[111,x]+F[7,x]
F[111,x] = F[112,x]
F[112,x] = F[20,x]*F[62,x]
F[113,x] = F[114,x]
F[114,x] = F[0,x]*F[115,x]
F[115,x] = F[116,x]+F[119,x]
F[116,x] = F[117,x]+F[93,x]
F[117,x] = F[118,x]
F[118,x] = F[0,x]*F[20,x]*F[35,x]
F[119,x] = F[120,x]
F[120,x] = -F[123,x]+F[121,x]
F[121,x] = 1/F[20,x]*F[122,x]
F[122,x] = F[103,x]
F[123,x] = F[26,x]*F[94,x]
F[124,x] = F[125,x]+F[292,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[20,x]
F[127,x] = 1/F[20,x]*F[128,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[20,x]
F[131,x] = 1/F[20,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[279,x]
F[134,x] = F[135,x]*F[80,x]
F[135,x] = F[136,x]+F[174,x]
F[136,x] = F[137,x]+F[163,x]
F[137,x] = F[1,x]+F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[20,x]
F[140,x] = F[137,x]+F[141,x]
F[141,x] = F[142,x]+F[28,x]
F[142,x] = F[143,x]+F[144,x]+F[150,x]
F[143,x] = 0
F[144,x] = F[145,x]*F[20,x]
F[145,x] = F[146,x]+F[147,x]
F[146,x] = F[138,x]+F[142,x]
F[147,x] = F[148,x]+F[162,x]
F[148,x] = F[143,x]+F[149,x]+F[150,x]
F[149,x] = F[138,x]*F[20,x]
F[150,x] = F[151,x]*F[20,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[148,x]+F[20,x]
F[153,x] = F[154,x]+F[157,x]
F[154,x] = F[143,x]+F[155,x]+F[33,x]
F[155,x] = F[156,x]*F[20,x]
F[156,x] = F[31,x]
F[157,x] = F[143,x]+F[158,x]+F[159,x]+F[161,x]
F[158,x] = F[142,x]*F[20,x]
F[159,x] = F[160,x]*F[20,x]
F[160,x] = F[147,x]
F[161,x] = 0
F[162,x] = F[158,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[20,x]
F[165,x] = F[166,x]+F[181,x]
F[166,x] = F[136,x]+F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[20,x]
F[169,x] = 1/F[20,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = -F[174,x]+F[172,x]
F[172,x] = 1/F[20,x]*F[173,x]
F[173,x] = F[37,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[20,x]
F[176,x] = F[177,x]+F[179,x]
F[177,x] = 1/F[20,x]*F[178,x]
F[178,x] = F[47,x]
F[179,x] = F[180,x]
F[180,x] = F[176,x]*F[20,x]*F[88,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]*F[20,x]
F[183,x] = F[184,x]+F[190,x]
F[184,x] = F[165,x]+F[185,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[20,x]*F[26,x]*F[27,x]
F[187,x] = F[165,x]+F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[183,x]*F[20,x]*F[26,x]*F[27,x]
F[190,x] = -F[185,x]+F[191,x]
F[191,x] = 1/F[20,x]*F[192,x]
F[192,x] = F[193,x]
F[193,x] = -F[194,x]+F[174,x]
F[194,x] = F[195,x]+F[28,x]
F[195,x] = F[143,x]+F[196,x]+F[275,x]
F[196,x] = F[197,x]*F[20,x]
F[197,x] = F[194,x]+F[198,x]
F[198,x] = F[199,x]+F[216,x]
F[199,x] = F[143,x]+F[200,x]+F[205,x]
F[200,x] = F[20,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[199,x]+F[28,x]
F[203,x] = F[204,x]+F[214,x]
F[204,x] = F[143,x]+F[205,x]+F[33,x]
F[205,x] = F[20,x]*F[206,x]
F[206,x] = F[207,x]+F[209,x]
F[207,x] = F[20,x]+F[208,x]
F[208,x] = F[33,x]
F[209,x] = F[210,x]+F[212,x]
F[210,x] = F[211,x]
F[211,x] = x^2
F[212,x] = F[213,x]
F[213,x] = F[20,x]*F[208,x]
F[214,x] = F[215,x]
F[215,x] = F[199,x]*F[20,x]
F[216,x] = F[143,x]+F[217,x]+F[223,x]+F[237,x]
F[217,x] = F[20,x]*F[218,x]
F[218,x] = F[219,x]+F[220,x]
F[219,x] = F[195,x]+F[216,x]
F[220,x] = F[221,x]+F[274,x]
F[221,x] = F[143,x]+F[222,x]+F[223,x]+F[237,x]
F[222,x] = F[195,x]*F[20,x]
F[223,x] = F[20,x]*F[224,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = F[204,x]+F[221,x]
F[226,x] = F[227,x]+F[231,x]
F[227,x] = F[143,x]+F[215,x]+F[228,x]+F[230,x]
F[228,x] = F[20,x]*F[229,x]
F[229,x] = F[203,x]
F[230,x] = 0
F[231,x] = F[143,x]+F[232,x]+F[233,x]+F[235,x]+F[236,x]
F[232,x] = F[20,x]*F[216,x]
F[233,x] = F[20,x]*F[234,x]
F[234,x] = F[220,x]
F[235,x] = 0
F[236,x] = 0
F[237,x] = F[20,x]*F[238,x]
F[238,x] = F[239,x]+F[253,x]
F[239,x] = F[240,x]+F[243,x]
F[240,x] = F[143,x]+F[241,x]+F[33,x]
F[241,x] = F[20,x]*F[242,x]
F[242,x] = F[207,x]
F[243,x] = 2*F[143,x]+F[244,x]+F[251,x]
F[244,x] = F[20,x]*F[245,x]
F[245,x] = F[246,x]
F[246,x] = F[20,x]*F[247,x]
F[247,x] = F[248,x]+F[249,x]
F[248,x] = F[245,x]+F[28,x]
F[249,x] = F[208,x]+F[250,x]
F[250,x] = F[244,x]
F[251,x] = F[20,x]*F[252,x]
F[252,x] = F[249,x]
F[253,x] = F[254,x]+F[264,x]
F[254,x] = 2*F[143,x]+F[255,x]+F[262,x]
F[255,x] = F[20,x]*F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[20,x]*F[258,x]
F[258,x] = F[259,x]+F[260,x]
F[259,x] = F[20,x]+F[256,x]
F[260,x] = F[210,x]+F[261,x]
F[261,x] = F[255,x]
F[262,x] = F[20,x]*F[263,x]
F[263,x] = F[260,x]
F[264,x] = 3*F[143,x]+F[265,x]+F[272,x]
F[265,x] = F[20,x]*F[266,x]
F[266,x] = F[267,x]
F[267,x] = F[20,x]*F[268,x]
F[268,x] = F[269,x]+F[270,x]
F[269,x] = F[208,x]+F[266,x]
F[270,x] = F[212,x]+F[271,x]
F[271,x] = F[265,x]
F[272,x] = F[20,x]*F[273,x]
F[273,x] = F[270,x]
F[274,x] = F[232,x]
F[275,x] = F[20,x]*F[276,x]
F[276,x] = F[277,x]+F[278,x]
F[277,x] = F[245,x]+F[28,x]
F[278,x] = F[256,x]+F[266,x]
F[279,x] = F[280,x]*F[68,x]
F[280,x] = -F[284,x]+F[281,x]
F[281,x] = 1/F[20,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[41,x]+F[167,x]
F[284,x] = F[285,x]+F[287,x]
F[285,x] = F[2,x]*F[286,x]
F[286,x] = F[135,x]+F[280,x]
F[287,x] = -F[288,x]+F[129,x]
F[288,x] = F[289,x]
F[289,x] = F[20,x]*F[290,x]
F[290,x] = F[129,x]+F[291,x]
F[291,x] = F[0,x]*F[286,x]
F[292,x] = F[293,x]
F[293,x] = F[0,x]*F[294,x]
F[294,x] = F[295,x]
F[295,x] = -F[364,x]+F[296,x]
F[296,x] = F[297,x]+F[363,x]
F[297,x] = -F[328,x]+F[298,x]
F[298,x] = 1/F[20,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[20,x]*F[302,x]
F[302,x] = 1/F[20,x]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = F[305,x]+F[321,x]
F[305,x] = -F[314,x]+F[306,x]
F[306,x] = F[307,x]+F[308,x]
F[307,x] = F[0,x]^2
F[308,x] = F[309,x]+F[56,x]
F[309,x] = F[310,x]
F[310,x] = F[20,x]*F[311,x]
F[311,x] = F[312,x]+F[313,x]
F[312,x] = F[4,x]*F[56,x]
F[313,x] = F[0,x]*F[111,x]
F[314,x] = F[0,x]+F[315,x]
F[315,x] = F[2,x]+F[316,x]
F[316,x] = F[317,x]
F[317,x] = F[20,x]*F[318,x]
F[318,x] = F[319,x]+F[320,x]
F[319,x] = F[2,x]*F[4,x]
F[320,x] = F[0,x]*F[56,x]
F[321,x] = F[322,x]
F[322,x] = F[20,x]*F[323,x]*F[57,x]
F[323,x] = F[324,x]+F[41,x]
F[324,x] = -F[315,x]+F[325,x]
F[325,x] = -F[304,x]+F[326,x]
F[326,x] = 1/F[20,x]*F[327,x]
F[327,x] = F[37,x]
F[328,x] = -F[331,x]+F[329,x]
F[329,x] = 1/F[20,x]*F[330,x]
F[330,x] = F[300,x]
F[331,x] = F[332,x]
F[332,x] = F[333,x]+F[357,x]
F[333,x] = -F[356,x]+F[334,x]
F[334,x] = F[335,x]+F[336,x]
F[335,x] = F[0,x]*F[4,x]
F[336,x] = -F[340,x]+F[337,x]
F[337,x] = -F[338,x]+F[329,x]
F[338,x] = 1/F[20,x]*F[339,x]
F[339,x] = F[9,x]
F[340,x] = F[341,x]
F[341,x] = -F[344,x]+F[342,x]
F[342,x] = 1/F[20,x]*F[343,x]
F[343,x] = F[102,x]
F[344,x] = F[345,x]+F[347,x]
F[345,x] = F[346,x]
F[346,x] = F[26,x]*F[47,x]
F[347,x] = F[348,x]+F[354,x]
F[348,x] = F[349,x]+F[353,x]
F[349,x] = -F[352,x]+F[350,x]
F[350,x] = 1/F[20,x]*F[351,x]
F[351,x] = F[11,x]
F[352,x] = F[96,x]
F[353,x] = F[98,x]
F[354,x] = F[355,x]
F[355,x] = F[20,x]*F[348,x]
F[356,x] = F[300,x]+F[4,x]
F[357,x] = -F[360,x]+F[358,x]
F[358,x] = 1/F[20,x]*F[359,x]
F[359,x] = F[101,x]
F[360,x] = F[361,x]
F[361,x] = -F[362,x]+F[354,x]
F[362,x] = F[20,x]*F[92,x]
F[363,x] = -F[368,x]+F[364,x]
F[364,x] = F[365,x]
F[365,x] = F[20,x]*F[366,x]
F[366,x] = 1/F[20,x]*F[367,x]
F[367,x] = F[284,x]
F[368,x] = -F[478,x]+F[369,x]
F[369,x] = 1/F[20,x]*F[370,x]
F[370,x] = F[371,x]
F[371,x] = -F[378,x]+F[372,x]
F[372,x] = 1/F[20,x]*F[373,x]
F[373,x] = F[374,x]
F[374,x] = F[375,x]
F[375,x] = F[20,x]*F[26,x]*F[376,x]
F[376,x] = F[300,x]+F[377,x]
F[377,x] = F[374,x]+F[5,x]
F[378,x] = F[379,x]
F[379,x] = F[20,x]*F[27,x]*F[380,x]
F[380,x] = F[381,x]+F[477,x]
F[381,x] = F[26,x]*F[382,x]
F[382,x] = F[371,x]+F[383,x]
F[383,x] = -F[389,x]+F[384,x]
F[384,x] = 1/F[20,x]*F[385,x]
F[385,x] = F[386,x]
F[386,x] = F[387,x]+F[5,x]
F[387,x] = -F[388,x]+F[300,x]
F[388,x] = F[2,x]+F[316,x]
F[389,x] = -F[392,x]+F[390,x]
F[390,x] = 1/F[20,x]*F[391,x]
F[391,x] = F[387,x]
F[392,x] = F[393,x]
F[393,x] = F[20,x]*F[394,x]
F[394,x] = -F[460,x]+F[395,x]
F[395,x] = 1/F[20,x]/F[27,x]*F[396,x]
F[396,x] = F[397,x]
F[397,x] = F[20,x]*F[398,x]
F[398,x] = F[399,x]+F[453,x]
F[399,x] = F[400,x]+F[426,x]
F[400,x] = 1/F[20,x]*F[401,x]
F[401,x] = F[402,x]
F[402,x] = F[403,x]+F[425,x]
F[403,x] = -F[424,x]+F[404,x]
F[404,x] = 1/F[20,x]*F[405,x]
F[405,x] = F[406,x]
F[406,x] = F[20,x]*F[407,x]
F[407,x] = F[408,x]+F[413,x]
F[408,x] = F[409,x]
F[409,x] = F[27,x]*F[410,x]
F[410,x] = F[411,x]
F[411,x] = F[20,x]*F[26,x]*F[412,x]
F[412,x] = F[135,x]+F[410,x]
F[413,x] = -F[422,x]+F[414,x]
F[414,x] = F[415,x]+F[420,x]
F[415,x] = F[416,x]+F[417,x]
F[416,x] = F[136,x]+F[410,x]
F[417,x] = -F[410,x]+F[418,x]
F[418,x] = 1/F[20,x]*F[419,x]
F[419,x] = F[55,x]
F[420,x] = F[421,x]
F[421,x] = F[20,x]*F[414,x]*F[88,x]
F[422,x] = F[423,x]
F[423,x] = F[27,x]*F[416,x]
F[424,x] = F[27,x]*F[96,x]
F[425,x] = F[27,x]*F[98,x]
F[426,x] = -F[429,x]+F[427,x]
F[427,x] = 1/F[20,x]*F[428,x]
F[428,x] = F[190,x]
F[429,x] = F[430,x]+F[432,x]
F[430,x] = 1/F[20,x]*F[431,x]
F[431,x] = F[413,x]
F[432,x] = F[20,x]*F[27,x]*F[433,x]
F[433,x] = F[434,x]+F[439,x]
F[434,x] = F[435,x]+F[437,x]
F[435,x] = 1/F[20,x]*F[436,x]
F[436,x] = F[93,x]
F[437,x] = F[438,x]
F[438,x] = F[169,x]*F[20,x]*F[88,x]
F[439,x] = -F[450,x]+F[440,x]
F[440,x] = 1/F[20,x]*F[441,x]
F[441,x] = F[442,x]
F[442,x] = -F[443,x]+F[417,x]
F[443,x] = F[444,x]+F[445,x]
F[444,x] = F[137,x]*F[2,x]
F[445,x] = F[446,x]
F[446,x] = F[20,x]*F[447,x]
F[447,x] = F[448,x]+F[449,x]
F[448,x] = F[163,x]*F[57,x]
F[449,x] = F[167,x]*F[74,x]
F[450,x] = -F[451,x]+F[434,x]
F[451,x] = 1/F[20,x]*F[452,x]
F[452,x] = F[443,x]
F[453,x] = F[20,x]*F[27,x]*F[454,x]
F[454,x] = F[434,x]+F[455,x]
F[455,x] = F[456,x]
F[456,x] = F[457,x]*F[88,x]
F[457,x] = F[458,x]+F[47,x]
F[458,x] = F[459,x]
F[459,x] = F[20,x]*F[457,x]*F[88,x]
F[460,x] = F[20,x]*F[461,x]
F[461,x] = -F[462,x]+F[394,x]
F[462,x] = -F[465,x]+F[463,x]
F[463,x] = 1/F[20,x]*F[464,x]
F[464,x] = F[439,x]
F[465,x] = F[466,x]+F[472,x]
F[466,x] = 1/F[20,x]*F[467,x]
F[467,x] = F[468,x]
F[468,x] = -F[412,x]+F[469,x]
F[469,x] = F[415,x]+F[470,x]
F[470,x] = F[471,x]
F[471,x] = F[0,x]*F[176,x]*F[20,x]
F[472,x] = -F[473,x]+F[463,x]
F[473,x] = -F[476,x]+F[474,x]
F[474,x] = 1/F[20,x]*F[475,x]
F[475,x] = F[439,x]
F[476,x] = F[20,x]*F[466,x]
F[477,x] = F[371,x]
F[478,x] = -F[479,x]+F[328,x]
F[479,x] = F[120,x]+F[92,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_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{20}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{106}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{52}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{34}\! \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) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \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_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{23}\! \left(x \right) = F_{17}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{27}\! \left(x \right) = F_{1}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{20}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{27}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{20}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{20}\! \left(x \right) F_{28}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{20}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right)+F_{37}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{20} \left(x \right)^{2} F_{15}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{92}\! \left(x \right)
F_{46}\! \left(x \right) = F_{4}\! \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_{60}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{2}\! \left(x \right)
F_{59}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{50}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{83}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{75}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{20}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{59}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{20}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right)+F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{20}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{82}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{81}\! \left(x \right)
F_{79}\! \left(x \right) = F_{57}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{2}\! \left(x \right)+F_{55}\! \left(x \right)
F_{81}\! \left(x \right) = F_{42}\! \left(x \right) F_{74}\! \left(x \right)
F_{82}\! \left(x \right) = F_{44}\! \left(x \right) F_{74}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{20}\! \left(x \right) F_{74}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{91}\! \left(x \right)
F_{86}\! \left(x \right) = F_{49}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{21}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{20}\! \left(x \right)
F_{91}\! \left(x \right) = F_{34}\! \left(x \right) F_{88}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{98}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{55}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{20}\! \left(x \right) F_{85}\! \left(x \right)
F_{98}\! \left(x \right) = F_{101}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{39}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{96}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{47}\! \left(x \right)
F_{104}\! \left(x \right) = F_{2}\! \left(x \right) F_{26}\! \left(x \right)
F_{105}\! \left(x \right) = F_{40}\! \left(x \right)+F_{57}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{20}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{124}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{113}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{7}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{20}\! \left(x \right) F_{62}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{119}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{93}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{0}\! \left(x \right) F_{20}\! \left(x \right) F_{35}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{122}\! \left(x \right) = F_{103}\! \left(x \right)
F_{123}\! \left(x \right) = F_{26}\! \left(x \right) F_{94}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{292}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{20}\! \left(x \right)
F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{20}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{279}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{80}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{174}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{163}\! \left(x \right)
F_{137}\! \left(x \right) = F_{1}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \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_{137}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{28}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)+F_{150}\! \left(x \right)
F_{143}\! \left(x \right) = 0
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{20}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{147}\! \left(x \right)
F_{146}\! \left(x \right) = F_{138}\! \left(x \right)+F_{142}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{162}\! \left(x \right)
F_{148}\! \left(x \right) = F_{143}\! \left(x \right)+F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{138}\! \left(x \right) F_{20}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{20}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{148}\! \left(x \right)+F_{20}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{157}\! \left(x \right)
F_{154}\! \left(x \right) = F_{143}\! \left(x \right)+F_{155}\! \left(x \right)+F_{33}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{20}\! \left(x \right)
F_{156}\! \left(x \right) = F_{31}\! \left(x \right)
F_{157}\! \left(x \right) = F_{143}\! \left(x \right)+F_{158}\! \left(x \right)+F_{159}\! \left(x \right)+F_{161}\! \left(x \right)
F_{158}\! \left(x \right) = F_{142}\! \left(x \right) F_{20}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{20}\! \left(x \right)
F_{160}\! \left(x \right) = F_{147}\! \left(x \right)
F_{161}\! \left(x \right) = 0
F_{162}\! \left(x \right) = F_{158}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{20}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{181}\! \left(x \right)
F_{166}\! \left(x \right) = F_{136}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{20}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{37}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{20}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{47}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{176}\! \left(x \right) F_{20}\! \left(x \right) F_{88}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{190}\! \left(x \right)
F_{184}\! \left(x \right) = F_{165}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{187}\! \left(x \right) = F_{165}\! \left(x \right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{183}\! \left(x \right) F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{27}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = \frac{F_{192}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{174}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{28}\! \left(x \right)
F_{195}\! \left(x \right) = F_{143}\! \left(x \right)+F_{196}\! \left(x \right)+F_{275}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{20}\! \left(x \right)
F_{197}\! \left(x \right) = F_{194}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{216}\! \left(x \right)
F_{199}\! \left(x \right) = F_{143}\! \left(x \right)+F_{200}\! \left(x \right)+F_{205}\! \left(x \right)
F_{200}\! \left(x \right) = F_{20}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{199}\! \left(x \right)+F_{28}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{214}\! \left(x \right)
F_{204}\! \left(x \right) = F_{143}\! \left(x \right)+F_{205}\! \left(x \right)+F_{33}\! \left(x \right)
F_{205}\! \left(x \right) = F_{20}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{209}\! \left(x \right)
F_{207}\! \left(x \right) = F_{20}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{33}\! \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_{211}\! \left(x \right) = x^{2}
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{20}\! \left(x \right) F_{208}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{199}\! \left(x \right) F_{20}\! \left(x \right)
F_{216}\! \left(x \right) = F_{143}\! \left(x \right)+F_{217}\! \left(x \right)+F_{223}\! \left(x \right)+F_{237}\! \left(x \right)
F_{217}\! \left(x \right) = F_{20}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{220}\! \left(x \right)
F_{219}\! \left(x \right) = F_{195}\! \left(x \right)+F_{216}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{274}\! \left(x \right)
F_{221}\! \left(x \right) = F_{143}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)+F_{237}\! \left(x \right)
F_{222}\! \left(x \right) = F_{195}\! \left(x \right) F_{20}\! \left(x \right)
F_{223}\! \left(x \right) = F_{20}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = F_{204}\! \left(x \right)+F_{221}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)+F_{231}\! \left(x \right)
F_{227}\! \left(x \right) = F_{143}\! \left(x \right)+F_{215}\! \left(x \right)+F_{228}\! \left(x \right)+F_{230}\! \left(x \right)
F_{228}\! \left(x \right) = F_{20}\! \left(x \right) F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{203}\! \left(x \right)
F_{230}\! \left(x \right) = 0
F_{231}\! \left(x \right) = F_{143}\! \left(x \right)+F_{232}\! \left(x \right)+F_{233}\! \left(x \right)+F_{235}\! \left(x \right)+F_{236}\! \left(x \right)
F_{232}\! \left(x \right) = F_{20}\! \left(x \right) F_{216}\! \left(x \right)
F_{233}\! \left(x \right) = F_{20}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{220}\! \left(x \right)
F_{235}\! \left(x \right) = 0
F_{236}\! \left(x \right) = 0
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_{253}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{243}\! \left(x \right)
F_{240}\! \left(x \right) = F_{143}\! \left(x \right)+F_{241}\! \left(x \right)+F_{33}\! \left(x \right)
F_{241}\! \left(x \right) = F_{20}\! \left(x \right) F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{207}\! \left(x \right)
F_{243}\! \left(x \right) = 2 F_{143}\! \left(x \right)+F_{244}\! \left(x \right)+F_{251}\! \left(x \right)
F_{244}\! \left(x \right) = F_{20}\! \left(x \right) F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{20}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{249}\! \left(x \right)
F_{248}\! \left(x \right) = F_{245}\! \left(x \right)+F_{28}\! \left(x \right)
F_{249}\! \left(x \right) = F_{208}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{244}\! \left(x \right)
F_{251}\! \left(x \right) = F_{20}\! \left(x \right) F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{249}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{264}\! \left(x \right)
F_{254}\! \left(x \right) = 2 F_{143}\! \left(x \right)+F_{255}\! \left(x \right)+F_{262}\! \left(x \right)
F_{255}\! \left(x \right) = F_{20}\! \left(x \right) F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{20}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{260}\! \left(x \right)
F_{259}\! \left(x \right) = F_{20}\! \left(x \right)+F_{256}\! \left(x \right)
F_{260}\! \left(x \right) = F_{210}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{255}\! \left(x \right)
F_{262}\! \left(x \right) = F_{20}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{260}\! \left(x \right)
F_{264}\! \left(x \right) = 3 F_{143}\! \left(x \right)+F_{265}\! \left(x \right)+F_{272}\! \left(x \right)
F_{265}\! \left(x \right) = F_{20}\! \left(x \right) F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{20}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{270}\! \left(x \right)
F_{269}\! \left(x \right) = F_{208}\! \left(x \right)+F_{266}\! \left(x \right)
F_{270}\! \left(x \right) = F_{212}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{265}\! \left(x \right)
F_{272}\! \left(x \right) = F_{20}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{270}\! \left(x \right)
F_{274}\! \left(x \right) = F_{232}\! \left(x \right)
F_{275}\! \left(x \right) = F_{20}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{278}\! \left(x \right)
F_{277}\! \left(x \right) = F_{245}\! \left(x \right)+F_{28}\! \left(x \right)
F_{278}\! \left(x \right) = F_{256}\! \left(x \right)+F_{266}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right) F_{68}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{41}\! \left(x \right)+F_{167}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)+F_{287}\! \left(x \right)
F_{285}\! \left(x \right) = F_{2}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{135}\! \left(x \right)+F_{280}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{129}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{20}\! \left(x \right) F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{129}\! \left(x \right)+F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{0}\! \left(x \right) F_{286}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{0}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{364}\! \left(x \right)+F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{363}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{328}\! \left(x \right)+F_{298}\! \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_{301}\! \left(x \right) = F_{20}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{321}\! \left(x \right)
F_{305}\! \left(x \right) = -F_{314}\! \left(x \right)+F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{308}\! \left(x \right)
F_{307}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{56}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{20}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{313}\! \left(x \right)
F_{312}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{313}\! \left(x \right) = F_{0}\! \left(x \right) F_{111}\! \left(x \right)
F_{314}\! \left(x \right) = F_{0}\! \left(x \right)+F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{2}\! \left(x \right)+F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{20}\! \left(x \right) F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{320}\! \left(x \right)
F_{319}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{320}\! \left(x \right) = F_{0}\! \left(x \right) F_{56}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{20}\! \left(x \right) F_{323}\! \left(x \right) F_{57}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{41}\! \left(x \right)
F_{324}\! \left(x \right) = -F_{315}\! \left(x \right)+F_{325}\! \left(x \right)
F_{325}\! \left(x \right) = -F_{304}\! \left(x \right)+F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{327}\! \left(x \right) = F_{37}\! \left(x \right)
F_{328}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = \frac{F_{330}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{330}\! \left(x \right) = F_{300}\! \left(x \right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{357}\! \left(x \right)
F_{333}\! \left(x \right) = -F_{356}\! \left(x \right)+F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{336}\! \left(x \right)
F_{335}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{336}\! \left(x \right) = -F_{340}\! \left(x \right)+F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{329}\! \left(x \right)
F_{338}\! \left(x \right) = \frac{F_{339}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{339}\! \left(x \right) = F_{9}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = \frac{F_{343}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{343}\! \left(x \right) = F_{102}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{347}\! \left(x \right)
F_{345}\! \left(x \right) = F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{26}\! \left(x \right) F_{47}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{354}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{353}\! \left(x \right)
F_{349}\! \left(x \right) = -F_{352}\! \left(x \right)+F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = \frac{F_{351}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{351}\! \left(x \right) = F_{11}\! \left(x \right)
F_{352}\! \left(x \right) = F_{96}\! \left(x \right)
F_{353}\! \left(x \right) = F_{98}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{20}\! \left(x \right) F_{348}\! \left(x \right)
F_{356}\! \left(x \right) = F_{300}\! \left(x \right)+F_{4}\! \left(x \right)
F_{357}\! \left(x \right) = -F_{360}\! \left(x \right)+F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = \frac{F_{359}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{359}\! \left(x \right) = F_{101}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = -F_{362}\! \left(x \right)+F_{354}\! \left(x \right)
F_{362}\! \left(x \right) = F_{20}\! \left(x \right) F_{92}\! \left(x \right)
F_{363}\! \left(x \right) = -F_{368}\! \left(x \right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{20}\! \left(x \right) F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = \frac{F_{367}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{367}\! \left(x \right) = F_{284}\! \left(x \right)
F_{368}\! \left(x \right) = -F_{478}\! \left(x \right)+F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = \frac{F_{370}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{378}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = \frac{F_{373}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{373}\! \left(x \right) = F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{300}\! \left(x \right)+F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{374}\! \left(x \right)+F_{5}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)+F_{477}\! \left(x \right)
F_{381}\! \left(x \right) = F_{26}\! \left(x \right) F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{371}\! \left(x \right)+F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = -F_{389}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = \frac{F_{385}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{5}\! \left(x \right)
F_{387}\! \left(x \right) = -F_{388}\! \left(x \right)+F_{300}\! \left(x \right)
F_{388}\! \left(x \right) = F_{2}\! \left(x \right)+F_{316}\! \left(x \right)
F_{389}\! \left(x \right) = -F_{392}\! \left(x \right)+F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = \frac{F_{391}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{391}\! \left(x \right) = F_{387}\! \left(x \right)
F_{392}\! \left(x \right) = F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{20}\! \left(x \right) F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = -F_{460}\! \left(x \right)+F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = \frac{F_{396}\! \left(x \right)}{F_{20}\! \left(x \right) F_{27}\! \left(x \right)}
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{20}\! \left(x \right) F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)+F_{453}\! \left(x \right)
F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{426}\! \left(x \right)
F_{400}\! \left(x \right) = \frac{F_{401}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)+F_{425}\! \left(x \right)
F_{403}\! \left(x \right) = -F_{424}\! \left(x \right)+F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = \frac{F_{405}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)
F_{406}\! \left(x \right) = F_{20}\! \left(x \right) F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{413}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{27}\! \left(x \right) F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = F_{20}\! \left(x \right) F_{26}\! \left(x \right) F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{135}\! \left(x \right)+F_{410}\! \left(x \right)
F_{413}\! \left(x \right) = -F_{422}\! \left(x \right)+F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{420}\! \left(x \right)
F_{415}\! \left(x \right) = F_{416}\! \left(x \right)+F_{417}\! \left(x \right)
F_{416}\! \left(x \right) = F_{136}\! \left(x \right)+F_{410}\! \left(x \right)
F_{417}\! \left(x \right) = -F_{410}\! \left(x \right)+F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = \frac{F_{419}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{419}\! \left(x \right) = F_{55}\! \left(x \right)
F_{420}\! \left(x \right) = F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{20}\! \left(x \right) F_{414}\! \left(x \right) F_{88}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{27}\! \left(x \right) F_{416}\! \left(x \right)
F_{424}\! \left(x \right) = F_{27}\! \left(x \right) F_{96}\! \left(x \right)
F_{425}\! \left(x \right) = F_{27}\! \left(x \right) F_{98}\! \left(x \right)
F_{426}\! \left(x \right) = -F_{429}\! \left(x \right)+F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = \frac{F_{428}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{428}\! \left(x \right) = F_{190}\! \left(x \right)
F_{429}\! \left(x \right) = F_{430}\! \left(x \right)+F_{432}\! \left(x \right)
F_{430}\! \left(x \right) = \frac{F_{431}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{431}\! \left(x \right) = F_{413}\! \left(x \right)
F_{432}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)+F_{439}\! \left(x \right)
F_{434}\! \left(x \right) = F_{435}\! \left(x \right)+F_{437}\! \left(x \right)
F_{435}\! \left(x \right) = \frac{F_{436}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{436}\! \left(x \right) = F_{93}\! \left(x \right)
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{169}\! \left(x \right) F_{20}\! \left(x \right) F_{88}\! \left(x \right)
F_{439}\! \left(x \right) = -F_{450}\! \left(x \right)+F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = \frac{F_{441}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{441}\! \left(x \right) = F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = -F_{443}\! \left(x \right)+F_{417}\! \left(x \right)
F_{443}\! \left(x \right) = F_{444}\! \left(x \right)+F_{445}\! \left(x \right)
F_{444}\! \left(x \right) = F_{137}\! \left(x \right) F_{2}\! \left(x \right)
F_{445}\! \left(x \right) = F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{20}\! \left(x \right) F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)+F_{449}\! \left(x \right)
F_{448}\! \left(x \right) = F_{163}\! \left(x \right) F_{57}\! \left(x \right)
F_{449}\! \left(x \right) = F_{167}\! \left(x \right) F_{74}\! \left(x \right)
F_{450}\! \left(x \right) = -F_{451}\! \left(x \right)+F_{434}\! \left(x \right)
F_{451}\! \left(x \right) = \frac{F_{452}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{452}\! \left(x \right) = F_{443}\! \left(x \right)
F_{453}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right) F_{454}\! \left(x \right)
F_{454}\! \left(x \right) = F_{434}\! \left(x \right)+F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{457}\! \left(x \right) F_{88}\! \left(x \right)
F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{47}\! \left(x \right)
F_{458}\! \left(x \right) = F_{459}\! \left(x \right)
F_{459}\! \left(x \right) = F_{20}\! \left(x \right) F_{457}\! \left(x \right) F_{88}\! \left(x \right)
F_{460}\! \left(x \right) = F_{20}\! \left(x \right) F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = -F_{462}\! \left(x \right)+F_{394}\! \left(x \right)
F_{462}\! \left(x \right) = -F_{465}\! \left(x \right)+F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{464}\! \left(x \right) = F_{439}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)+F_{472}\! \left(x \right)
F_{466}\! \left(x \right) = \frac{F_{467}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{467}\! \left(x \right) = F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = -F_{412}\! \left(x \right)+F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = F_{415}\! \left(x \right)+F_{470}\! \left(x \right)
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{0}\! \left(x \right) F_{176}\! \left(x \right) F_{20}\! \left(x \right)
F_{472}\! \left(x \right) = -F_{473}\! \left(x \right)+F_{463}\! \left(x \right)
F_{473}\! \left(x \right) = -F_{476}\! \left(x \right)+F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = \frac{F_{475}\! \left(x \right)}{F_{20}\! \left(x \right)}
F_{475}\! \left(x \right) = F_{439}\! \left(x \right)
F_{476}\! \left(x \right) = F_{20}\! \left(x \right) F_{466}\! \left(x \right)
F_{477}\! \left(x \right) = F_{371}\! \left(x \right)
F_{478}\! \left(x \right) = -F_{479}\! \left(x \right)+F_{328}\! \left(x \right)
F_{479}\! \left(x \right) = F_{120}\! \left(x \right)+F_{92}\! \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_6(x))
Eq(F_6(x), F_20(x)*F_7(x))
Eq(F_7(x), F_106(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_0(x)*F_2(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_20(x))
Eq(F_13(x), F_14(x) + F_52(x))
Eq(F_14(x), F_15(x)*F_2(x))
Eq(F_15(x), F_16(x) + F_34(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))
Eq(F_19(x), F_15(x)*F_20(x))
Eq(F_20(x), x)
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_20(x)*F_23(x)*F_26(x)*F_27(x))
Eq(F_23(x), F_17(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_15(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_26(x), F_1(x) + F_20(x))
Eq(F_27(x), F_1(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_20(x)*F_30(x))
Eq(F_30(x), F_27(x) + F_31(x))
Eq(F_31(x), F_20(x) + F_32(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_20(x)*F_28(x))
Eq(F_34(x), -F_21(x) + F_35(x))
Eq(F_35(x), F_36(x)/F_20(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_20(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_44(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_2(x) + F_37(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)*F_20(x)**2)
Eq(F_44(x), -F_105(x) + F_45(x))
Eq(F_45(x), F_46(x) + F_92(x))
Eq(F_46(x), F_4(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_60(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_0(x)*F_17(x))
Eq(F_52(x), F_53(x) - F_59(x))
Eq(F_53(x), F_54(x)/F_20(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_56(x))
Eq(F_56(x), -F_0(x) + F_57(x))
Eq(F_57(x), F_58(x)/F_20(x))
Eq(F_58(x), F_2(x))
Eq(F_59(x), F_17(x)*F_2(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_20(x)*F_62(x))
Eq(F_62(x), F_50(x) + F_63(x))
Eq(F_63(x), F_64(x) - F_83(x))
Eq(F_64(x), F_65(x)/F_20(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_68(x))
Eq(F_67(x), F_68(x) + F_75(x))
Eq(F_68(x), F_2(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_20(x)*F_71(x))
Eq(F_71(x), F_59(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_20(x)*F_74(x))
Eq(F_74(x), F_0(x) + F_68(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_20(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_82(x))
Eq(F_78(x), F_79(x) + F_81(x))
Eq(F_79(x), F_57(x)*F_80(x))
Eq(F_80(x), F_2(x) + F_55(x))
Eq(F_81(x), F_42(x)*F_74(x))
Eq(F_82(x), F_44(x)*F_74(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_20(x)*F_74(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_91(x))
Eq(F_86(x), F_49(x) + F_87(x))
Eq(F_87(x), F_21(x)*F_88(x))
Eq(F_88(x), F_0(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_0(x)**2*F_20(x))
Eq(F_91(x), F_34(x)*F_88(x))
Eq(F_92(x), F_93(x) + F_98(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_20(x))
Eq(F_95(x), F_55(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_20(x)*F_85(x))
Eq(F_98(x), F_101(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_20(x)*F_26(x)*F_39(x))
Eq(F_101(x), F_102(x) - F_103(x))
Eq(F_102(x), -F_40(x) + F_96(x))
Eq(F_103(x), -F_104(x) + F_47(x))
Eq(F_104(x), F_2(x)*F_26(x))
Eq(F_105(x), F_40(x) + F_57(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_20(x))
Eq(F_108(x), F_109(x) + F_124(x))
Eq(F_109(x), F_110(x) + F_113(x))
Eq(F_110(x), F_111(x) + F_7(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_20(x)*F_62(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_0(x)*F_115(x))
Eq(F_115(x), F_116(x) + F_119(x))
Eq(F_116(x), F_117(x) + F_93(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_0(x)*F_20(x)*F_35(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x) - F_123(x))
Eq(F_121(x), F_122(x)/F_20(x))
Eq(F_122(x), F_103(x))
Eq(F_123(x), F_26(x)*F_94(x))
Eq(F_124(x), F_125(x) + F_292(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_20(x))
Eq(F_127(x), F_128(x)/F_20(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_20(x))
Eq(F_131(x), F_132(x)/F_20(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_279(x))
Eq(F_134(x), F_135(x)*F_80(x))
Eq(F_135(x), F_136(x) + F_174(x))
Eq(F_136(x), F_137(x) + F_163(x))
Eq(F_137(x), F_1(x) + F_138(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_20(x))
Eq(F_140(x), F_137(x) + F_141(x))
Eq(F_141(x), F_142(x) + F_28(x))
Eq(F_142(x), F_143(x) + F_144(x) + F_150(x))
Eq(F_143(x), 0)
Eq(F_144(x), F_145(x)*F_20(x))
Eq(F_145(x), F_146(x) + F_147(x))
Eq(F_146(x), F_138(x) + F_142(x))
Eq(F_147(x), F_148(x) + F_162(x))
Eq(F_148(x), F_143(x) + F_149(x) + F_150(x))
Eq(F_149(x), F_138(x)*F_20(x))
Eq(F_150(x), F_151(x)*F_20(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_148(x) + F_20(x))
Eq(F_153(x), F_154(x) + F_157(x))
Eq(F_154(x), F_143(x) + F_155(x) + F_33(x))
Eq(F_155(x), F_156(x)*F_20(x))
Eq(F_156(x), F_31(x))
Eq(F_157(x), F_143(x) + F_158(x) + F_159(x) + F_161(x))
Eq(F_158(x), F_142(x)*F_20(x))
Eq(F_159(x), F_160(x)*F_20(x))
Eq(F_160(x), F_147(x))
Eq(F_161(x), 0)
Eq(F_162(x), F_158(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_20(x))
Eq(F_165(x), F_166(x) + F_181(x))
Eq(F_166(x), F_136(x) + F_167(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_20(x))
Eq(F_169(x), F_170(x)/F_20(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x) - F_174(x))
Eq(F_172(x), F_173(x)/F_20(x))
Eq(F_173(x), F_37(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_20(x))
Eq(F_176(x), F_177(x) + F_179(x))
Eq(F_177(x), F_178(x)/F_20(x))
Eq(F_178(x), F_47(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_176(x)*F_20(x)*F_88(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x)*F_20(x))
Eq(F_183(x), F_184(x) + F_190(x))
Eq(F_184(x), F_165(x) + F_185(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_187(x), F_165(x) + F_188(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_183(x)*F_20(x)*F_26(x)*F_27(x))
Eq(F_190(x), -F_185(x) + F_191(x))
Eq(F_191(x), F_192(x)/F_20(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_174(x) - F_194(x))
Eq(F_194(x), F_195(x) + F_28(x))
Eq(F_195(x), F_143(x) + F_196(x) + F_275(x))
Eq(F_196(x), F_197(x)*F_20(x))
Eq(F_197(x), F_194(x) + F_198(x))
Eq(F_198(x), F_199(x) + F_216(x))
Eq(F_199(x), F_143(x) + F_200(x) + F_205(x))
Eq(F_200(x), F_20(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_199(x) + F_28(x))
Eq(F_203(x), F_204(x) + F_214(x))
Eq(F_204(x), F_143(x) + F_205(x) + F_33(x))
Eq(F_205(x), F_20(x)*F_206(x))
Eq(F_206(x), F_207(x) + F_209(x))
Eq(F_207(x), F_20(x) + F_208(x))
Eq(F_208(x), F_33(x))
Eq(F_209(x), F_210(x) + F_212(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), x**2)
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_20(x)*F_208(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_199(x)*F_20(x))
Eq(F_216(x), F_143(x) + F_217(x) + F_223(x) + F_237(x))
Eq(F_217(x), F_20(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_220(x))
Eq(F_219(x), F_195(x) + F_216(x))
Eq(F_220(x), F_221(x) + F_274(x))
Eq(F_221(x), F_143(x) + F_222(x) + F_223(x) + F_237(x))
Eq(F_222(x), F_195(x)*F_20(x))
Eq(F_223(x), F_20(x)*F_224(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_204(x) + F_221(x))
Eq(F_226(x), F_227(x) + F_231(x))
Eq(F_227(x), F_143(x) + F_215(x) + F_228(x) + F_230(x))
Eq(F_228(x), F_20(x)*F_229(x))
Eq(F_229(x), F_203(x))
Eq(F_230(x), 0)
Eq(F_231(x), F_143(x) + F_232(x) + F_233(x) + F_235(x) + F_236(x))
Eq(F_232(x), F_20(x)*F_216(x))
Eq(F_233(x), F_20(x)*F_234(x))
Eq(F_234(x), F_220(x))
Eq(F_235(x), 0)
Eq(F_236(x), 0)
Eq(F_237(x), F_20(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_253(x))
Eq(F_239(x), F_240(x) + F_243(x))
Eq(F_240(x), F_143(x) + F_241(x) + F_33(x))
Eq(F_241(x), F_20(x)*F_242(x))
Eq(F_242(x), F_207(x))
Eq(F_243(x), 2*F_143(x) + F_244(x) + F_251(x))
Eq(F_244(x), F_20(x)*F_245(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_20(x)*F_247(x))
Eq(F_247(x), F_248(x) + F_249(x))
Eq(F_248(x), F_245(x) + F_28(x))
Eq(F_249(x), F_208(x) + F_250(x))
Eq(F_250(x), F_244(x))
Eq(F_251(x), F_20(x)*F_252(x))
Eq(F_252(x), F_249(x))
Eq(F_253(x), F_254(x) + F_264(x))
Eq(F_254(x), 2*F_143(x) + F_255(x) + F_262(x))
Eq(F_255(x), F_20(x)*F_256(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_20(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_260(x))
Eq(F_259(x), F_20(x) + F_256(x))
Eq(F_260(x), F_210(x) + F_261(x))
Eq(F_261(x), F_255(x))
Eq(F_262(x), F_20(x)*F_263(x))
Eq(F_263(x), F_260(x))
Eq(F_264(x), 3*F_143(x) + F_265(x) + F_272(x))
Eq(F_265(x), F_20(x)*F_266(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_20(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_270(x))
Eq(F_269(x), F_208(x) + F_266(x))
Eq(F_270(x), F_212(x) + F_271(x))
Eq(F_271(x), F_265(x))
Eq(F_272(x), F_20(x)*F_273(x))
Eq(F_273(x), F_270(x))
Eq(F_274(x), F_232(x))
Eq(F_275(x), F_20(x)*F_276(x))
Eq(F_276(x), F_277(x) + F_278(x))
Eq(F_277(x), F_245(x) + F_28(x))
Eq(F_278(x), F_256(x) + F_266(x))
Eq(F_279(x), F_280(x)*F_68(x))
Eq(F_280(x), F_281(x) - F_284(x))
Eq(F_281(x), F_282(x)/F_20(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_167(x) - F_41(x))
Eq(F_284(x), F_285(x) + F_287(x))
Eq(F_285(x), F_2(x)*F_286(x))
Eq(F_286(x), F_135(x) + F_280(x))
Eq(F_287(x), F_129(x) - F_288(x))
Eq(F_288(x), F_289(x))
Eq(F_289(x), F_20(x)*F_290(x))
Eq(F_290(x), F_129(x) + F_291(x))
Eq(F_291(x), F_0(x)*F_286(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_0(x)*F_294(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_296(x) - F_364(x))
Eq(F_296(x), F_297(x) + F_363(x))
Eq(F_297(x), F_298(x) - F_328(x))
Eq(F_298(x), F_299(x)/F_20(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_20(x)*F_302(x))
Eq(F_302(x), F_303(x)/F_20(x))
Eq(F_303(x), F_304(x))
Eq(F_304(x), F_305(x) + F_321(x))
Eq(F_305(x), F_306(x) - F_314(x))
Eq(F_306(x), F_307(x) + F_308(x))
Eq(F_307(x), F_0(x)**2)
Eq(F_308(x), F_309(x) + F_56(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_20(x)*F_311(x))
Eq(F_311(x), F_312(x) + F_313(x))
Eq(F_312(x), F_4(x)*F_56(x))
Eq(F_313(x), F_0(x)*F_111(x))
Eq(F_314(x), F_0(x) + F_315(x))
Eq(F_315(x), F_2(x) + F_316(x))
Eq(F_316(x), F_317(x))
Eq(F_317(x), F_20(x)*F_318(x))
Eq(F_318(x), F_319(x) + F_320(x))
Eq(F_319(x), F_2(x)*F_4(x))
Eq(F_320(x), F_0(x)*F_56(x))
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_20(x)*F_323(x)*F_57(x))
Eq(F_323(x), F_324(x) + F_41(x))
Eq(F_324(x), -F_315(x) + F_325(x))
Eq(F_325(x), -F_304(x) + F_326(x))
Eq(F_326(x), F_327(x)/F_20(x))
Eq(F_327(x), F_37(x))
Eq(F_328(x), F_329(x) - F_331(x))
Eq(F_329(x), F_330(x)/F_20(x))
Eq(F_330(x), F_300(x))
Eq(F_331(x), F_332(x))
Eq(F_332(x), F_333(x) + F_357(x))
Eq(F_333(x), F_334(x) - F_356(x))
Eq(F_334(x), F_335(x) + F_336(x))
Eq(F_335(x), F_0(x)*F_4(x))
Eq(F_336(x), F_337(x) - F_340(x))
Eq(F_337(x), F_329(x) - F_338(x))
Eq(F_338(x), F_339(x)/F_20(x))
Eq(F_339(x), F_9(x))
Eq(F_340(x), F_341(x))
Eq(F_341(x), F_342(x) - F_344(x))
Eq(F_342(x), F_343(x)/F_20(x))
Eq(F_343(x), F_102(x))
Eq(F_344(x), F_345(x) + F_347(x))
Eq(F_345(x), F_346(x))
Eq(F_346(x), F_26(x)*F_47(x))
Eq(F_347(x), F_348(x) + F_354(x))
Eq(F_348(x), F_349(x) + F_353(x))
Eq(F_349(x), F_350(x) - F_352(x))
Eq(F_350(x), F_351(x)/F_20(x))
Eq(F_351(x), F_11(x))
Eq(F_352(x), F_96(x))
Eq(F_353(x), F_98(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_20(x)*F_348(x))
Eq(F_356(x), F_300(x) + F_4(x))
Eq(F_357(x), F_358(x) - F_360(x))
Eq(F_358(x), F_359(x)/F_20(x))
Eq(F_359(x), F_101(x))
Eq(F_360(x), F_361(x))
Eq(F_361(x), F_354(x) - F_362(x))
Eq(F_362(x), F_20(x)*F_92(x))
Eq(F_363(x), F_364(x) - F_368(x))
Eq(F_364(x), F_365(x))
Eq(F_365(x), F_20(x)*F_366(x))
Eq(F_366(x), F_367(x)/F_20(x))
Eq(F_367(x), F_284(x))
Eq(F_368(x), F_369(x) - F_478(x))
Eq(F_369(x), F_370(x)/F_20(x))
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x) - F_378(x))
Eq(F_372(x), F_373(x)/F_20(x))
Eq(F_373(x), F_374(x))
Eq(F_374(x), F_375(x))
Eq(F_375(x), F_20(x)*F_26(x)*F_376(x))
Eq(F_376(x), F_300(x) + F_377(x))
Eq(F_377(x), F_374(x) + F_5(x))
Eq(F_378(x), F_379(x))
Eq(F_379(x), F_20(x)*F_27(x)*F_380(x))
Eq(F_380(x), F_381(x) + F_477(x))
Eq(F_381(x), F_26(x)*F_382(x))
Eq(F_382(x), F_371(x) + F_383(x))
Eq(F_383(x), F_384(x) - F_389(x))
Eq(F_384(x), F_385(x)/F_20(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_387(x) + F_5(x))
Eq(F_387(x), F_300(x) - F_388(x))
Eq(F_388(x), F_2(x) + F_316(x))
Eq(F_389(x), F_390(x) - F_392(x))
Eq(F_390(x), F_391(x)/F_20(x))
Eq(F_391(x), F_387(x))
Eq(F_392(x), F_393(x))
Eq(F_393(x), F_20(x)*F_394(x))
Eq(F_394(x), F_395(x) - F_460(x))
Eq(F_395(x), F_396(x)/(F_20(x)*F_27(x)))
Eq(F_396(x), F_397(x))
Eq(F_397(x), F_20(x)*F_398(x))
Eq(F_398(x), F_399(x) + F_453(x))
Eq(F_399(x), F_400(x) + F_426(x))
Eq(F_400(x), F_401(x)/F_20(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_403(x) + F_425(x))
Eq(F_403(x), F_404(x) - F_424(x))
Eq(F_404(x), F_405(x)/F_20(x))
Eq(F_405(x), F_406(x))
Eq(F_406(x), F_20(x)*F_407(x))
Eq(F_407(x), F_408(x) + F_413(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_27(x)*F_410(x))
Eq(F_410(x), F_411(x))
Eq(F_411(x), F_20(x)*F_26(x)*F_412(x))
Eq(F_412(x), F_135(x) + F_410(x))
Eq(F_413(x), F_414(x) - F_422(x))
Eq(F_414(x), F_415(x) + F_420(x))
Eq(F_415(x), F_416(x) + F_417(x))
Eq(F_416(x), F_136(x) + F_410(x))
Eq(F_417(x), -F_410(x) + F_418(x))
Eq(F_418(x), F_419(x)/F_20(x))
Eq(F_419(x), F_55(x))
Eq(F_420(x), F_421(x))
Eq(F_421(x), F_20(x)*F_414(x)*F_88(x))
Eq(F_422(x), F_423(x))
Eq(F_423(x), F_27(x)*F_416(x))
Eq(F_424(x), F_27(x)*F_96(x))
Eq(F_425(x), F_27(x)*F_98(x))
Eq(F_426(x), F_427(x) - F_429(x))
Eq(F_427(x), F_428(x)/F_20(x))
Eq(F_428(x), F_190(x))
Eq(F_429(x), F_430(x) + F_432(x))
Eq(F_430(x), F_431(x)/F_20(x))
Eq(F_431(x), F_413(x))
Eq(F_432(x), F_20(x)*F_27(x)*F_433(x))
Eq(F_433(x), F_434(x) + F_439(x))
Eq(F_434(x), F_435(x) + F_437(x))
Eq(F_435(x), F_436(x)/F_20(x))
Eq(F_436(x), F_93(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_169(x)*F_20(x)*F_88(x))
Eq(F_439(x), F_440(x) - F_450(x))
Eq(F_440(x), F_441(x)/F_20(x))
Eq(F_441(x), F_442(x))
Eq(F_442(x), F_417(x) - F_443(x))
Eq(F_443(x), F_444(x) + F_445(x))
Eq(F_444(x), F_137(x)*F_2(x))
Eq(F_445(x), F_446(x))
Eq(F_446(x), F_20(x)*F_447(x))
Eq(F_447(x), F_448(x) + F_449(x))
Eq(F_448(x), F_163(x)*F_57(x))
Eq(F_449(x), F_167(x)*F_74(x))
Eq(F_450(x), F_434(x) - F_451(x))
Eq(F_451(x), F_452(x)/F_20(x))
Eq(F_452(x), F_443(x))
Eq(F_453(x), F_20(x)*F_27(x)*F_454(x))
Eq(F_454(x), F_434(x) + F_455(x))
Eq(F_455(x), F_456(x))
Eq(F_456(x), F_457(x)*F_88(x))
Eq(F_457(x), F_458(x) + F_47(x))
Eq(F_458(x), F_459(x))
Eq(F_459(x), F_20(x)*F_457(x)*F_88(x))
Eq(F_460(x), F_20(x)*F_461(x))
Eq(F_461(x), F_394(x) - F_462(x))
Eq(F_462(x), F_463(x) - F_465(x))
Eq(F_463(x), F_464(x)/F_20(x))
Eq(F_464(x), F_439(x))
Eq(F_465(x), F_466(x) + F_472(x))
Eq(F_466(x), F_467(x)/F_20(x))
Eq(F_467(x), F_468(x))
Eq(F_468(x), -F_412(x) + F_469(x))
Eq(F_469(x), F_415(x) + F_470(x))
Eq(F_470(x), F_471(x))
Eq(F_471(x), F_0(x)*F_176(x)*F_20(x))
Eq(F_472(x), F_463(x) - F_473(x))
Eq(F_473(x), F_474(x) - F_476(x))
Eq(F_474(x), F_475(x)/F_20(x))
Eq(F_475(x), F_439(x))
Eq(F_476(x), F_20(x)*F_466(x))
Eq(F_477(x), F_371(x))
Eq(F_478(x), F_328(x) - F_479(x))
Eq(F_479(x), F_120(x) + F_92(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, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2]], "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, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "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, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 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